HTML 특수문자 리스트 (√ √ √ π ø ｍ²ｍ³ ｍ⁴, ¹ ² ³ ⁴, ₁₂₃₄, ㄷ ＋ － × ÷ ± ≤ ≥ ℃ ▶ ㅊ √ax2 + bx + c

시작시간 = [2024-12-05 09:08:42.0382]
req=[org.apache.catalina.connector.RequestFacade@71c897ab]
res=[org.apache.catalina.connector.ResponseFacade@285d95e9]
conn=[com.mysql.jdbc.JDBC4Connection@3da1b0e]
cdAry[0] = []
cdAry[1] = [TABLE 1.1) String uAry[][]
query[0] = Select sid, SYMBOL, UNIT, DESCR, kid From S_DATA Where kid=5 and sid=0

sid	SYMBOL	UNIT	DESCR	kid
0	PUnit	kg/cm²	0 | kg/cm² | 입력 압력단위 (Pressue Input Unit) = kg/cm² |	5

]
cdAry[2] = [TABLE 2.1) String bAry[][] = S_RESULT
query[1] = Select sid, DESCR, UNIT, SYMBOL, T1,T2,T3,T4,T5,T6,T7,T8,T9,T10,REMARK From S_RESULT Where kid=5 and sid<100 Order By sid

sid	DESCR	UNIT	SYMBOL	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10	REMARK
0	Nominal Capacity [공칭용량]	m³	V_nom	3648.370	6205.880	3648.370	3882.420	4126.270	3882.420	3648.370	3882.420	4126.270	3882.420
1	Storage Capacity [저장용량]	m³	V_sto	3514.310	5651.700	2319.980	3516.130	3693.150	3488.160	2319.980	3516.130	3693.150	3488.160
2	Vapor Space Capacity	m³	V_hil	134.060	554.180	1328.390	366.290	433.120	394.260	1328.390	366.290	433.120	394.260
3	Storage Capacity Ratio	%	R_Sto	96.330	91.070	63.590	90.570	89.500	89.840	63.590	90.570	89.500	89.840
4	Vapor Space Ratio	%	R_vapor	3.670	8.930	36.410	9.430	10.500	10.160	36.410	9.430	10.500	10.160
10	A. WEIGHT SUMMARY
11	SHELL PLATE	Ton	Ws	399.185	677.164	395.221	389.995	411.047	389.995	450.777	347.628	366.924	314.690
12	UPPER COLUMN (PLATE)	Ton	Wuc	13.542	18.744	13.535	13.659	13.812	13.659	13.550	13.644	13.797	13.652
13	LOWER COLUMN (PIPE)	Ton	Wc	26.246	36.679	32.560	26.763	27.249	26.148	32.548	26.775	27.262	26.154
14	CROSS BRACE (PIPE)	Ton	Wb	22.439	32.226	26.643	22.882	23.317	22.483	26.638	22.893	23.327	22.487
15	ROOF PLATFORM & STAIRWAY	Ton	Wr	23.621	33.011	29.304	24.087	24.524	23.533	29.293	24.098	24.536	23.539
16	WATER SPRAY AND ATTACHMENT	Ton	Wsp	20.997	29.343	26.048	21.410	21.799	20.918	26.038	21.420	21.810	20.923
17	MANHOLE & NOZZLE	Ton	Wn	16.300	17.400	16.300	16.300	16.300	16.300	16.300	16.300	16.300	16.300
18	INTERNAL LADDER & ATTACHMENT	Ton	Wi	12.861	13.729	12.861	12.861	12.861	12.861	12.861	12.861	12.861	12.861
19	ANCHOR BOLT/NUT	Ton	Wa	3.816	3.816	3.816	3.816	3.816	3.816	3.816	3.816	3.816	3.816
20	COLUMN FIRE PROOFING	Ton	Win	40.300	50.400	40.300	40.300	40.300	40.300	40.300	40.300	40.300	40.300
21	BLANK 1	Ton	W_1
22	BLANK 2	Ton	W_2
23	BLANK 3	Ton	W_3
24	BLANK 4	Ton	W_4
25	BLANK 5	Ton	W_5
26	Lower-Column O.D	mm	Dcol	812.800	914.400	812.800	812.800	812.800	812.800	812.800	812.800	812.800	812.800
27	Lower-Column Thickness	mm	Tcol	13.000	14.000	13.000	13.000	13.000	13.000	13.000	13.000	13.000	13.000
28	Cross-Brace O.D	mm	Dbrace	273.100	323.500	273.100	273.100	273.100	273.100	273.100	273.100	273.100	273.100
29	Cross-Brace Thickness	mm	Tbrace	15.100	15.600	15.100	15.100	15.100	15.100	15.100	15.100	15.100	15.100
30	■ EMPTY WEIGHT (1 Unit)	Ton	We	579.310	912.510	596.590	572.070	595.030	570.010	652.120	529.730	550.930	494.720	We = W(1)+ .. +W(10)
31	B. LOADING DATA
32	CONTENTS WEIGHT (at Operating)	Ton	Wc	1584.950	2972.790	1220.310	2246.810	2359.920	2096.380	1220.310	2246.810	2359.920	2096.380	Wc = Vsto * S.G
33	HYDROSTATIC TEST WATER WEIGHT	Ton	Wt	3648.370	6205.880	3648.370	3882.420	4126.270	3882.420	3648.370	3882.420	4126.270	3882.420	Wt = Vnom * 1.0
34	1) VERTICAL LOAD
35	EMPTY WEIGHT	Ton	We	579.310	912.510	596.590	572.070	595.030	570.010	652.120	529.730	550.930	494.720	We = W(1)+ .. +W(10)
36	OPERATING WEIGHT	Ton	Wo	2164.260	3885.300	1816.900	2818.880	2954.950	2666.390	1872.430	2776.540	2910.850	2591.100	Wo = We + Wc
37	HYDROSTATIC TEST WEIGHT	Ton	Wh	4227.680	7118.390	4244.960	4454.490	4721.300	4452.430	4300.490	4412.150	4677.200	4377.140	Wh = We + Wt
38	2) HORIZONTAL LOAD
39	SEISMIC FACTOR (CS=0.25 Fix)		CS	0.250	0.250	0.250	0.250	0.250	0.250	0.250	0.250	0.250	0.250
40	SEISMIC LOAD (Base Shear) Vs = CS x Wo	Ton	Vs	541.070	971.330	454.230	704.720	738.740	666.600	468.110	694.140	727.710	647.780	Vs = CS x Wo
41	WIND LOAD (Base Shear)	Ton	Vw

]
cdAry[3] = [TABLE 3.1) String cAry[][] = S_DETAIL, cAry.length = [36] cAry[0].length = [12]
query[2] = Select sid, SYMBOL, T1,T2,T3,T4,T5,T6,T7,T8,T9,T10 From S_DETAIL Where kid=5 and sid<100 Order By sid

sid	SYMBOL	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10
1	TNO	10-TK-7210AB	10-TK-7310	10-TK-7320	10-TK-7400ABC	10-TK-7420ABC	10-TK-7440AB	10-TK-7320	10-TK-7400ABC	10-TK-7420ABC	10-TK-7440AB
2	CODE	DIV. 2	DIV. 2	DIV. 2	DIV. 1	DIV. 1	DIV. 1	DIV. 2	DIV. 1	DIV. 1	DIV. 21
3	CONTENT	Ethylene	HP Propylene	HP Off-Spec Propylene	Mixed C4s	1,3 Butadiene	Butene-1	HP Off-Spec Propylene	Mixed C4s	1,3 Butadiene	Butene-1
4	SG	0.451	0.526	0.526	0.639	0.639	0.601	0.526	0.639	0.639	0.601
5	MATL	SA537-CL2	SA537-CL2	SA537-CL2	SA537-CL2	SA537-CL2	SA537-CL2	SA537-CL1	SA537-CL1	SA537-CL1	SA537-CL1
6	DTEMP	65	65	65	65	65	65	65	65	65	65
7	Sd	230.00	230.00	230.00	158.00	158.00	158.00	201.00	138.00	138.00	161.00
8	Di	19100	22800	19100	19500	19900	19500	19100	19500	19900	19500
9	CA	1.5	1.5	1.5	1.5	1.5	1.5	1.5	1.5	1.5	1.5
10	HT	12550	14400	14600	12750	12950	12550	14600	12750	12950	12550
11	HHLL	16900	18600	11300	15800	15900	15650	11300	15800	15900	15650
12	HLL	16500	18000	11100	15400	15800	15200	11100	15400	15800	15200
13	LLL	1700	2050	1100	2950	2800	1600	1100	2950	2800	1600
14	LLLL	1000	1000	1000	2400	2300	1500	1000	2400	2300	1500
15	Pi	20	20	20	6	6	6	20	6	6	6
16	Pe	1.033227	1.033227	1.033227	1.033227	1.033227	1.033227	1.033227	1.033227	1.033227	1.033227
17	MDMT	-45	-45	-45	-12	-12	-12	-45	-12	-12	-12
18	E	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0
19	TQTY	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0	1.0
20	CQTY	12	12	12	12	12	12	12	12	12	12
21	SQTY	8	8	8	8	8	8	8	8	8	8
22	CACB	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5	1.5 / 0.5
23	L	64.0	50.0	55.0	65.0	70.0	75.0	80.0	85.0	90.0	100.0
24	tdReq	43.87	52.61	43.53	22.72	23.18	22.51	49.61	25.80	26.32	22.13
25	twReq	36.33	43.89	36.33	12.50	12.81	12.50	43.72	15.04	15.41	15.40
26	tmReq	33.23	40.19	33.23	12.50	12.81	12.50	39.98	15.04	15.41	14.25
27	teReq	16.18	18.85	16.3	40.36	41.14	40.36	14.45	35.97	36.69	32.79
28	tTops	43.5	51.0	43.5	41.5	42.0	41.5	49.0	37.0	37.5	33.5
29	tMids	44.5	53.5	44.0	41.5	42.0	41.5	50.5	37.0	37.5	33.5
30	tBtms	45.0	53.5	44.5	41.5	42.0	41.5	50.5	37.0	37.5	33.5
31	tUsed	45.0	53.5	44.5	41.5	42.0	41.5	50.5	37.0	37.5	33.5
32	MSG	OK	OK	OK	OK	OK	OK	OK	OK	OK	OK
33	tdCyo	86.43	103.94	85.74	44.04	44.95	43.62	97.96	50.22	51.27	42.81
34	ttCyt	72.8	87.96	72.8	25.04	25.65	25.04	87.64	30.13	30.87	30.82
35	tCyli	87.5	105.0	86.5	45.0	46.0	44.5	99.0	51.0	52.0	44.0

]
cdAry[4] = [[cAry, dAry] TANK STRENGTH CALCULATION SHEET, uid= [0], units= [kg/cm²]

1	1	TANK NO. (Max. 40 Char.)	TNO =		10-TK-7210AB 0	10-TK-7310 0	10-TK-7320 0	10-TK-7400ABC 0	10-TK-7420ABC 0	10-TK-7440AB 0	10-TK-7320 0	10-TK-7400ABC 0	10-TK-7420ABC 0	10-TK-7440AB 0
2	2	VESSEL DESIGN CODE (ASME SEC. VIII, Div. 1,2)	CODE =		DIV. 2 2	DIV. 2 2	DIV. 2 2	DIV. 1 1	DIV. 1 1	DIV. 1 1	DIV. 2 2	DIV. 1 1	DIV. 1 1	DIV. 21 1
3	3	STORAGE LIQUID NAME	CONTENT =		Ethylene 0	HP Propylene 0	HP Off-Spec Propylene 0	Mixed C4s 0	1,3 Butadiene 0	Butene-1 0	HP Off-Spec Propylene 0	Mixed C4s 0	1,3 Butadiene 0	Butene-1 0
4	4	DESIGN SPECIFIC GRAVITY	SG =		0.451 0.451	0.526 0.526	0.526 0.526	0.639 0.639	0.639 0.639	0.601 0.601	0.526 0.526	0.639 0.639	0.639 0.639	0.601 0.601
5	5	MATERIAL OF SHELL PLATE	MATL =		SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA537-CL1 0	SA537-CL1 0	SA537-CL1 0	SA537-CL1 0
6	6	DESIGN TEMPERATURE (Max.)	DTEMP =	℃	65 65	65 65	65 65	65 65	65 65	65 65	65 65	65 65	65 65	65 65
7	7	ALLOWABLE STRESS at Deisin(Operating)	Sd =	MPa	230.00 230	230.00 230	230.00 230	158.00 158	158.00 158	158.00 158	201.00 201	138.00 138	138.00 138	161.00 161
8	8	TANK INSIDE DIAMETER	Di =	mm	19100 19100	22800 22800	19100 19100	19500 19500	19900 19900	19500 19500	19100 19100	19500 19500	19900 19900	19500 19500
9	9	CORROSION ALLOWANCE (SHELL)	CA =	mm	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5	1.5 1.5
10	10	TANK EQUATOR LEVEL (FROM GROUND)	HT =	mm	12550 12550	14400 14400	14600 14600	12750 12750	12950 12950	12550 12550	14600 14600	12750 12750	12950 12950	12550 12550
11	11	(SHELL 두께계산 높이) HIGH HIGH LIQUID LEVEL	HHLL =	mm	16900 16900	18600 18600	11300 11300	15800 15800	15900 15900	15650 15650	11300 11300	15800 15800	15900 15900	15650 15650
12	12	(Storage 용량계산 액높이) HIGH LIQUID LEVEL	HLL =	mm	16500 16500	18000 18000	11100 11100	15400 15400	15800 15800	15200 15200	11100 11100	15400 15400	15800 15800	15200 15200
13	13	LOW LIQUID LEVEL	LLL =	mm	1700 1700	2050 2050	1100 1100	2950 2950	2800 2800	1600 1600	1100 1100	2950 2950	2800 2800	1600 1600
14	14	LOW LOW LIQUID LEVEL	LLLL =	mm	1000 1000	1000 1000	1000 1000	2400 2400	2300 2300	1500 1500	1000 1000	2400 2400	2300 2300	1500 1500
15	15	DESIGN INTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pi =	kg/cm² kPa	20 1961.33	20 1961.33	20 1961.33	6 588.399	6 588.399	6 588.399	20 1961.33	6 588.399	6 588.399	6 588.399
16	16	DESIGN EXTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pe =	kg/cm² kPa	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556	1.033227 101.3249556
17	17	MIN.DESIGN METAL TEMPERATURE	MDMT =	℃	-45 -45	-45 -45	-45 -45	-12 -12	-12 -12	-12 -12	-45 -45	-12 -12	-12 -12	-12 -12
18	18	SHELL JOINT EFFICIENCY	E =		1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1
19	19	TANK QUANTITY (탱크수량 직접입력)	TQTY =	Unit	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1	1.0 1
20	20	COLUMN QUANTITY (수량자동계산)	CQTY =	EA	12 12	12 12	12 12	12 12	12 12	12 12	12 12	12 12	12 12	12 12
21	21	SHELL SEGMENT QUANTITY (수량자동계산)	SQTY =	EA	8 8	8 8	8 8	8 8	8 8	8 8	8 8	8 8	8 8	8 8
22	22	CORROSION ALLOWANCE (Column/Brace)	CACB =	mm	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0	1.5 / 0.5 0
23	23	Cylinderical Vessel Longitudinal Length ex) Mounded Bullet Vessel(Cylinderical) Length	L =	(m)	64.0 64	50.0 50	55.0 55	65.0 65	70.0 70	75.0 75	80.0 80	85.0 85	90.0 90	100.0 100
24	24	Req'd Thickness under Operating Cond. (Pi+Ps)	tdReq =	mm	43.87 43.87	52.61 52.61	43.53 43.53	22.72 22.72	23.18 23.18	22.51 22.51	49.61 49.61	25.80 25.8	26.32 26.32	22.13 22.13
25	25	Req'd Thickness under Hydro-test (MAWP) (Pt)	twReq =	mm	36.33 36.33	43.89 43.89	36.33 36.33	12.50 12.5	12.81 12.81	12.50 12.5	43.72 43.72	15.04 15.04	15.41 15.41	15.40 15.4
26	26	Req'd Thickness under Hydro-test (MAP) (Pt)	tmReq =	mm	33.23 33.23	40.19 40.19	33.23 33.23	12.50 12.5	12.81 12.81	12.50 12.5	39.98 39.98	15.04 15.04	15.41 15.41	14.25 14.25
27	27	Req'd Thickness under External Pressue (Pe)	teReq =	mm	16.18 16.18	18.85 18.85	16.3 16.3	40.36 40.36	41.14 41.14	40.36 40.36	14.45 14.45	35.97 35.97	36.69 36.69	32.79 32.79
28	28	● Top Shell Used Thickness	tTops =	mm	43.5 43.5	51.0 51	43.5 43.5	41.5 41.5	42.0 42	41.5 41.5	49.0 49	37.0 37	37.5 37.5	33.5 33.5
29	29	● Equator Used Thickness	tMids =	mm	44.5 44.5	53.5 53.5	44.0 44	41.5 41.5	42.0 42	41.5 41.5	50.5 50.5	37.0 37	37.5 37.5	33.5 33.5
30	30	● Bottom Shell Used Thickness	tBtms =	mm	45.0 45	53.5 53.5	44.5 44.5	41.5 41.5	42.0 42	41.5 41.5	50.5 50.5	37.0 37	37.5 37.5	33.5 33.5
31	31	● Max. (Spherical) Used Thickness	tUsed =	mm	45.0 45	53.5 53.5	44.5 44.5	41.5 41.5	42.0 42	41.5 41.5	50.5 50.5	37.0 37	37.5 37.5	33.5 33.5
32	32	If (tUsed ≤ 64mm) then Accetable Else (tUsed>64mm) Sd ReSelect	MSG =		OK 0	OK 0	OK 0	OK 0	OK 0	OK 0	OK 0	OK 0	OK 0	OK 0
33	33	(● Cylinder) Req'd Thickness under Oper. (Pi+Ps)	tdCyo =	mm	86.43 86.43	103.94 103.94	85.74 85.74	44.04 44.04	44.95 44.95	43.62 43.62	97.96 97.96	50.22 50.22	51.27 51.27	42.81 42.81
34	34	(● Cylinder) Req'd Thickness under Hydrotest(Pt)	ttCyt =	mm	72.8 72.8	87.96 87.96	72.8 72.8	25.04 25.04	25.65 25.65	25.04 25.04	87.64 87.64	30.13 30.13	30.87 30.87	30.82 30.82
35	35	● Max. (Cylinder) Used Thickness	tCyli =	mm	87.5 87.5	105.0 105	86.5 86.5	45.0 45	46.0 46	44.5 44.5	99.0 99	51.0 51	52.0 52	44.0 44

cAry[0].length=[12][12] END OF MYSQL_SPH_DATAREAD(), cAry.length = [36] dAry.length = [36]
]
cdAry[5] = []
rv=[sphereColumnSTD.jsp sph.WLEDING_LENGTH_CALC();

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,100 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	43.5	2733.5	8200.6	1	7,272		16,401		43.5	2733.5	8200.6	3	7271.94	21815.8	866.8	63.887
#2, 0	16.4	24.6	43.5	2733.5	7534.2	2	14,544	ø7951	30,137	5,386
#3, 3	16.4	41	43.5	2733.5	9841.6	4	26,183	ø12530.7	39,366		43.5	2733.5	9060.6	4	6545.65	26182.6	1475.72	76.675
#4, 4	45	86	44.0	2720.8	7500.6	22	135,572	ø19053.5	59,858	165,012	44.0	2720.8	7550	22	6162.38	135572.3	6541.31	392.508
#5, 5	53	139	44.5	2727.5	8912.3	22	165,040	ø19100		194,348	44.5	2727.5	8912.3	22	7501.82	165040.0	7873.65	472.454
#6, 8	16.4	155.4	45.0	2733.5	9841.6	4	27,085	ø12530.7	39,366		45.0	2733.5	8860.6	4	6771.36	27085.4	1475.72	76.675
#7, 9	16.4	171.8	45.0	2733.5	7534.2	2	15,045	ø7951	30,137	5,386	45.0	2733.5	8200.6	3	7522.69	22568.1	866.8	63.887
#8, 9	8.2	180	45.0	2733.5	8200.6	1	7,523		16,401
Total Quantity and Shell Weight						58	398,264	kg	231.7 (m)	370.1 (m)				58		398264.2	19100	1146.086
Total Site Weleding length (m)									601.8 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 22,800 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	7	7	51.0	2785.5	8356.6	1	8,853		16,713		51.0	2785.5	8356.6	3	8853.21	26559.6	757.18	66.341
#2, 0	14	21	51.0	2785.5	7845.7	2	17,706	ø8170.8	31,383	5,176
#3, 3	14	35	51.0	2785.5	10271.1	4	32,562	ø13077.5	41,084		51.0	2785.5	9447.2	4	8140.42	32561.7	1304.49	81.333
#4, 4	52	87	52.0	2751.2	10346.3	26	255,596	ø22768.8	71,530	269,004	52.0	2751.2	10390	26	9830.60	255595.7	8741.7	626.153
#5, 5	58	145	53.5	2754.9	11611	26	298,864	ø22800		300,043	53.5	2754.9	11611	26	11494.78	298864.3	9934.96	711.624
#6, 8	14	159	53.5	2785.5	10271.1	4	34,158	ø13077.5	41,084		53.5	2785.5	9247.2	4	8539.46	34157.8	1304.49	81.333
#7, 9	14	173	53.5	2785.5	7845.7	2	18,574	ø8170.8	31,383	5,176	53.5	2785.5	8356.6	3	9287.19	27861.6	757.18	66.341
#8, 9	7	180	53.5	2785.5	8356.6	1	9,287		16,713
Total Quantity and Shell Weight						66	675,601	kg	249.9 (m)	579.4 (m)				66		675600.6	22800	1633.125
Total Site Weleding length (m)									829.3 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,100 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	43.5	2733.5	8200.6	1	7,272		16,401		43.5	2733.5	8200.6	3	7271.94	21815.8	866.8	63.887
#2, 0	16.4	24.6	43.5	2733.5	7534.2	2	14,544	ø7951	30,137	5,386
#3, 3	16.4	41	43.5	2733.5	9841.6	4	26,183	ø12530.7	39,366		43.5	2733.5	9060.6	4	6545.65	26182.6	1475.72	76.675
#4, 4	45	86	43.5	2720.8	7500.6	22	134,032	ø19053.5	59,858	165,012	43.5	2720.8	7550	22	6092.35	134031.7	6541.31	392.508
#5, 5	53	139	44.5	2727.5	8912.3	22	165,040	ø19100		194,348	44.5	2727.5	8912.3	22	7501.82	165040.0	7873.65	472.454
#6, 8	16.4	155.4	44.5	2733.5	9841.6	4	26,784	ø12530.7	39,366		44.5	2733.5	8860.6	4	6696.12	26784.5	1475.72	76.675
#7, 9	16.4	171.8	44.5	2733.5	7534.2	2	14,878	ø7951	30,137	5,386	44.5	2733.5	8200.6	3	7439.11	22317.3	866.8	63.887
#8, 9	8.2	180	44.5	2733.5	8200.6	1	7,439		16,401
Total Quantity and Shell Weight						58	396,172	kg	231.7 (m)	370.1 (m)				58		396171.9	19100	1146.086
Total Site Weleding length (m)									601.8 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,500 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	30.0	2790.8	8372.3	1	5,227		16,745		30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#2, 0	16.4	24.6	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498
#3, 3	16.4	41	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9246.1	4	4705.29	18821.2	1506.63	79.920
#4, 4	45	86	30.0	2777.8	7657.6	22	96,348	ø19452.5	61,112	168,468	30.0	2777.8	7700	22	4379.43	96347.5	6678.29	409.119
#5, 5	53	139	30.0	2784.6	9098.9	22	115,972	ø19500		198,418	30.0	2784.6	9098.9	22	5271.45	115972.0	8038.55	492.450
#6, 8	16.4	155.4	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9046.1	4	4705.29	18821.2	1506.63	79.920
#7, 9	16.4	171.8	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498	30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#8, 9	8.2	180	30.0	2790.8	8372.3	1	5,227		16,745
Total Quantity and Shell Weight						58	281,326	kg	236.5 (m)	377.9 (m)				58		281326.2	19500	1194.591
Total Site Weleding length (m)									614.4 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,900 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	30.5	2848	8544.1	1	5,535		17,088		30.5	2848	8544.1	3	5534.87	16604.6	903.1	69.352
#2, 0	16.4	24.6	30.5	2848	7849.8	2	11,070	ø8284	31,399	5,611
#3, 3	16.4	41	30.5	2848	10253.8	4	19,928	ø13055.6	41,015		30.5	2848	9431.7	4	4981.90	19927.6	1537.54	83.231
#4, 4	45	86	30.5	2834.8	7814.7	22	102,013	ø19851.5	62,365	171,924	30.5	2834.8	7860	22	4636.97	102013.3	6815.28	426.076
#5, 5	53	139	30.5	2841.7	9285.5	22	122,792	ø19900		202,488	30.5	2841.7	9285.5	22	5581.43	122791.5	8203.44	512.860
#6, 8	16.4	155.4	30.5	2848	10253.8	4	19,928	ø13055.6	41,015		30.5	2848	9231.7	4	4981.90	19927.6	1537.54	83.231
#7, 9	16.4	171.8	30.5	2848	7849.8	2	11,070	ø8284	31,399	5,611	30.5	2848	8544.1	3	5534.87	16604.6	903.1	69.352
#8, 9	8.2	180	30.5	2848	8544.1	1	5,535		17,088
Total Quantity and Shell Weight						58	297,869	kg	241.4 (m)	385.6 (m)				58		297869.1	19900	1244.102
Total Site Weleding length (m)									627 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,500 (m), Material SA537-CL2, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	30.0	2790.8	8372.3	1	5,227		16,745		30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#2, 0	16.4	24.6	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498
#3, 3	16.4	41	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9246.1	4	4705.29	18821.2	1506.63	79.920
#4, 4	45	86	30.0	2777.8	7657.6	22	96,348	ø19452.5	61,112	168,468	30.0	2777.8	7700	22	4379.43	96347.5	6678.29	409.119
#5, 5	53	139	30.0	2784.6	9098.9	22	115,972	ø19500		198,418	30.0	2784.6	9098.9	22	5271.45	115972.0	8038.55	492.450
#6, 8	16.4	155.4	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9046.1	4	4705.29	18821.2	1506.63	79.920
#7, 9	16.4	171.8	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498	30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#8, 9	8.2	180	30.0	2790.8	8372.3	1	5,227		16,745
Total Quantity and Shell Weight						58	281,326	kg	236.5 (m)	377.9 (m)				58		281326.2	19500	1194.591
Total Site Weleding length (m)									614.4 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,100 (m), Material SA537-CL1, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	49.0	2733.5	8200.6	1	8,191		16,401		49.0	2733.5	8200.6	3	8191.38	24574.1	866.8	63.887
#2, 0	16.4	24.6	49.0	2733.5	7534.2	2	16,383	ø7951	30,137	5,386
#3, 3	16.4	41	49.0	2733.5	9841.6	4	29,493	ø12530.7	39,366		49.0	2733.5	9060.6	4	7373.26	29493.0	1475.72	76.675
#4, 4	45	86	49.5	2720.8	7500.6	22	152,519	ø19053.5	59,858	165,012	49.5	2720.8	7550	22	6932.67	152518.8	6541.31	392.508
#5, 5	53	139	50.5	2727.5	8912.3	22	187,293	ø19100		194,348	50.5	2727.5	8912.3	22	8513.30	187292.6	7873.65	472.454
#6, 8	16.4	155.4	50.5	2733.5	9841.6	4	30,396	ø12530.7	39,366		50.5	2733.5	8860.6	4	7598.97	30395.9	1475.72	76.675
#7, 9	16.4	171.8	50.5	2733.5	7534.2	2	16,884	ø7951	30,137	5,386	50.5	2733.5	8200.6	3	8442.14	25326.4	866.8	63.887
#8, 9	8.2	180	50.5	2733.5	8200.6	1	8,442		16,401
Total Quantity and Shell Weight						58	449,601	kg	231.7 (m)	370.1 (m)				58		449600.9	19100	1146.086
Total Site Weleding length (m)									601.8 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,500 (m), Material SA537-CL1, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	30.0	2790.8	8372.3	1	5,227		16,745		30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#2, 0	16.4	24.6	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498
#3, 3	16.4	41	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9246.1	4	4705.29	18821.2	1506.63	79.920
#4, 4	45	86	30.0	2777.8	7657.6	22	96,348	ø19452.5	61,112	168,468	30.0	2777.8	7700	22	4379.43	96347.5	6678.29	409.119
#5, 5	53	139	30.0	2784.6	9098.9	22	115,972	ø19500		198,418	30.0	2784.6	9098.9	22	5271.45	115972.0	8038.55	492.450
#6, 8	16.4	155.4	30.0	2790.8	10047.7	4	18,821	ø12793.2	40,191		30.0	2790.8	9046.1	4	4705.29	18821.2	1506.63	79.920
#7, 9	16.4	171.8	30.0	2790.8	7692	2	10,455	ø8117.5	30,768	5,498	30.0	2790.8	8372.3	3	5227.39	15682.2	884.95	66.591
#8, 9	8.2	180	30.0	2790.8	8372.3	1	5,227		16,745
Total Quantity and Shell Weight						58	281,326	kg	236.5 (m)	377.9 (m)				58		281326.2	19500	1194.591
Total Site Weleding length (m)									614.4 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,900 (m), Material SA537-CL1, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	30.5	2848	8544.1	1	5,535		17,088		30.5	2848	8544.1	3	5534.87	16604.6	903.1	69.352
#2, 0	16.4	24.6	30.5	2848	7849.8	2	11,070	ø8284	31,399	5,611
#3, 3	16.4	41	30.5	2848	10253.8	4	19,928	ø13055.6	41,015		30.5	2848	9431.7	4	4981.90	19927.6	1537.54	83.231
#4, 4	45	86	30.5	2834.8	7814.7	22	102,013	ø19851.5	62,365	171,924	30.5	2834.8	7860	22	4636.97	102013.3	6815.28	426.076
#5, 5	53	139	30.5	2841.7	9285.5	22	122,792	ø19900		202,488	30.5	2841.7	9285.5	22	5581.43	122791.5	8203.44	512.860
#6, 8	16.4	155.4	30.5	2848	10253.8	4	19,928	ø13055.6	41,015		30.5	2848	9231.7	4	4981.90	19927.6	1537.54	83.231
#7, 9	16.4	171.8	30.5	2848	7849.8	2	11,070	ø8284	31,399	5,611	30.5	2848	8544.1	3	5534.87	16604.6	903.1	69.352
#8, 9	8.2	180	30.5	2848	8544.1	1	5,535		17,088
Total Quantity and Shell Weight						58	297,869	kg	241.4 (m)	385.6 (m)				58		297869.1	19900	1244.102
Total Site Weleding length (m)									627 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 19,500 (m), Material SA537-CL1, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	8.2	8.2	28.0	2790.8	8372.3	1	4,879		16,745		28.0	2790.8	8372.3	3	4878.90	14636.7	884.95	66.591
#2, 0	16.4	24.6	28.0	2790.8	7692	2	9,758	ø8117.5	30,768	5,498
#3, 3	16.4	41	28.0	2790.8	10047.7	4	17,566	ø12793.2	40,191		28.0	2790.8	9246.1	4	4391.60	17566.4	1506.63	79.920
#4, 4	45	86	28.0	2777.8	7657.6	22	89,924	ø19452.5	61,112	168,468	28.0	2777.8	7700	22	4087.47	89924.4	6678.29	409.119
#5, 5	53	139	28.0	2784.6	9098.9	22	108,241	ø19500		198,418	28.0	2784.6	9098.9	22	4920.02	108240.5	8038.55	492.450
#6, 8	16.4	155.4	28.0	2790.8	10047.7	4	17,566	ø12793.2	40,191		28.0	2790.8	9046.1	4	4391.60	17566.4	1506.63	79.920
#7, 9	16.4	171.8	28.0	2790.8	7692	2	9,758	ø8117.5	30,768	5,498	28.0	2790.8	8372.3	3	4878.90	14636.7	884.95	66.591
#8, 9	8.2	180	28.0	2790.8	8372.3	1	4,879		16,745
Total Quantity and Shell Weight						58	262,571	kg	236.5 (m)	377.9 (m)				58		262571.1	19500	1194.591
Total Site Weleding length (m)									614.4 (m)

myEQid[tid] = [ 4 ]
CalcRpt[tid][0].length() = [10] Bytes
1. CAPACITY CALCULATION

탱크 공칭 및 저장용량											하중조건 (Loading Data)
No	TNO	Liquid Name	SG	D	DLL	Vnom	Vsto	Vhil	vRatio	탱크 표면적	4.Empty Steel	5,저장 액체	6.운전 중량	7.수압 수중량	8.수압 테스트중량
				mm	mm	ｍ³	ｍ³	ｍ³	(%)	m2	Ton
1	10-TK-7210AB	Ethylene	0.451	19,100	16,900	3648.37	3514.31	134.06	3.7 (%)	1146.08	436.54	1584.95	2021.49	3648.37	4084.91
2	10-TK-7310	HP Propylene	0.526	22,800	18,600	6205.88	5651.7	554.18	8.9 (%)	1633.13	749.4	2972.79	3722.19	6205.88	6955.27
3	10-TK-7320	HP Off-Spec Propylene	0.526	19,100	11,300	3648.37	2319.98	1328.39	36.4 (%)	1146.08	434.41	1220.31	1654.72	3648.37	4082.78
4	10-TK-7400ABC	Mixed C4s	0.639	19,500	15,800	3882.42	3516.13	366.29	9.4 (%)	1194.59	319.07	2246.81	2565.88	3882.42	4201.49
5	10-TK-7420ABC	1,3 Butadiene	0.639	19,900	15,900	4126.27	3693.15	433.12	10.5 (%)	1244.1	343.73	2359.92	2703.66	4126.27	4470.01
6	10-TK-7440AB	Butene-1	0.601	19,500	15,650	3882.42	3488.16	394.26	10.2 (%)	1194.59	319.07	2096.38	2415.46	3882.42	4201.49
7	10-TK-7320	HP Off-Spec Propylene	0.526	19,100	11,300	3648.37	2319.98	1328.39	36.4 (%)	1146.08	488.27	1220.31	1708.58	3648.37	4136.64
8	10-TK-7400ABC	Mixed C4s	0.639	19,500	15,800	3882.42	3516.13	366.29	9.4 (%)	1194.59	319.07	2246.81	2565.88	3882.42	4201.49
9	10-TK-7420ABC	1,3 Butadiene	0.639	19,900	15,900	4126.27	3693.15	433.12	10.5 (%)	1244.1	343.73	2359.92	2703.66	4126.27	4470.01
10	10-TK-7440AB	Butene-1	0.601	19,500	15,650	3882.42	3488.16	394.26	10.2 (%)	1194.59	300.17	2096.38	2396.56	3882.42	4182.59

공간용적비(%) = 공간용적 / 공칭용량 * 100
Ratio of vapour Space, vRatio = Vhil / Vnom * 100(%)
uAry[1][3] = [0 | kg/cm² | 입력 압력단위 (Pressue Input Unit) = kg/cm² |]
uAry[1][3].substring(0,1).trim() = [0]
uid = [0]
cAry.length = [36] cAry[0].length = [12]
sph.MYANG_SET();
sph.CODE_CALC( );
MATERIAL LIST

No.	F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10	F11	F12	F13	F14	F15	F16	F17	F18	F19	F20	F21	F22	F23	F24	F25	F26	F27	F28	F29	F30	F31	F32	F33	F34	Cylindrical Shell
No.	TNO	CODE	CONTENT	SG	Di	CA	HT	HHLL	Pi	Pe	MDMT	DTEMP	CQTY	MSG	MATL	Sd	gtReq Used Thk	6Roark tRoark	1_ASME tASME	td_2 tTest	td_3 tMAWP	td_5 tMAP	td_5 tVacuum	Shell Qty	Net Weight Ton	Column Qty	Tank Height BASE to EQ. Line (mm)	Upp. Colume Height(mm)	Low. Colume Height(mm)	Column PCD mm	BRACE 부착각도 (o)deg.	Column Size	Shell 각도 분할수	Spherical Top ~ Btm 두께(mm)	Shell matl id, Sd MPa	Cyl. td (mm)	Cyl. tt (mm)	Cyl. tt(MAWP) (mm)	Cyl. tt(MAP) (mm)
1	10-TK-7210AB	DIV. 2	Ethylene	0.451	19100	1.5	12550	16900	20	1.033227	-45	65	12	OK	SA537-CL2	230.00	43.5 ~ 45	43.78	43.87	32.01	32.63	33.98	26.40	58	398.264	11 EA	12550	3900	8650	18680	31.3168	ø 914.4x10.31t	11	43.5 ~ 45	matid=6, Sd= 230.0 MPa, t ≤ 64t	86.43	64.14	65.37	68.08
2	10-TK-7310	DIV. 2	HP Propylene	0.526	22800	1.5	14400	18600	20	1.033227	-45	65	12	OK	SA537-CL2	230.00	51 ~ 53.5	52.49	52.61	38.74	39.31	40.41	31.22	66	675.601	13 EA	14400	4540	9860	22310	28.4353	ø 1066.8x12.78t	11	51 ~ 53.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	103.94	77.62	78.77	80.97
3	10-TK-7320	DIV. 2	HP Off-Spec Propylene	0.526	19100	1.5	14600	11300	20	1.033227	-45	65	12	OK	SA537-CL2	230.00	43.5 ~ 44.5	43.44	43.53	32.01	32.72	33.98	26.40	58	396.172	11 EA	12550	3900	8650	18680	31.3168	ø 914.4x10.31t	11	43.5 ~ 44.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	85.74	64.14	65.56	68.08
4	10-TK-7400ABC	DIV. 1	Mixed C4s	0.639	19500	1.5	12750	15800	6	1.033227	-12	65	12	OK	SA537-CL2	158.00	30 ~ 30	22.71	22.72	12.48	16.48	18.99	28.76	58	281.326	11 EA	12750	3960	8790	19060	31.4208	ø 914.4x10.31t	11	30 ~ 30	matid=6, Sd= 158.0 MPa, t ≤ 64t	44.04	24.99	32.99	38.01
5	10-TK-7420ABC	DIV. 1	1,3 Butadiene	0.639	19900	1.5	12950	15900	6	1.033227	-12	65	12	OK	SA537-CL2	158.00	30.5 ~ 30.5	23.17	23.18	12.79	16.81	19.37	29.32	58	297.869	11 EA	12950	4170	8780	19410	31.9158	ø 1016x11.13t	11	30.5 ~ 30.5	matid=6, Sd= 158.0 MPa, t ≤ 64t	44.95	25.61	33.66	38.77
6	10-TK-7440AB	DIV. 1	Butene-1	0.601	19500	1.5	12550	15650	6	1.033227	-12	65	12	OK	SA537-CL2	158.00	30 ~ 30	22.50	22.51	12.48	16.59	18.99	28.76	58	281.326	11 EA	12750	3960	8790	19060	31.4208	ø 914.4x10.31t	11	30 ~ 30	matid=6, Sd= 158.0 MPa, t ≤ 64t	43.61	24.99	33.22	38.01
7	10-TK-7320	DIV. 2	HP Off-Spec Propylene	0.526	19100	1.5	14600	11300	20	1.033227	-45	65	12	OK	SA537-CL1	201.00	49 ~ 50.5	49.49	49.61	38.52	39.13	40.28	26.40	58	449.601	11 EA	12550	3900	8650	18680	31.3168	ø 914.4x10.31t	11	49 ~ 50.5	matid=4, Sd= 201.0 MPa, t ≤ 64t	97.95	77.20	78.41	80.73
8	10-TK-7400ABC	DIV. 1	Mixed C4s	0.639	19500	1.5	12750	15800	6	1.033227	-12	65	12	OK	SA537-CL1	138.00	30 ~ 30	25.79	25.80	15.01	17.44	20.33	28.90	58	281.326	11 EA	12750	3960	8790	19060	31.4208	ø 914.4x10.31t	11	30 ~ 30	matid=4, Sd= 138.0 MPa, t ≤ 64t	50.22	30.06	34.92	40.70
9	10-TK-7420ABC	DIV. 1	1,3 Butadiene	0.639	19900	1.5	12950	15900	6	1.033227	-12	65	12	OK	SA537-CL1	138.00	30.5 ~ 30.5	26.31	26.32	15.39	17.8	20.74	29.46	58	297.869	11 EA	12950	4170	8780	19410	31.9158	ø 1016x11.13t	11	30.5 ~ 30.5	matid=4, Sd= 138.0 MPa, t ≤ 64t	51.26	30.81	35.64	41.53
10	10-TK-7440AB	DIV. 21	Butene-1	0.601	19500	1.5	12550	15650	6	1.033227	-12	65	12	OK	SA537-CL1	161.00	28 ~ 28	18.01	18.02	13.79	21.44	24.31	26.92	58	262.571	11 EA	12750	3960	8790	19060	31.4208	ø 914.4x10.31t	11	28 ~ 28	matid=4, Sd= 201.0 MPa, t ≤ 64t	34.58	27.61	42.92	48.68

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7210AB자재 중량표				Rev. No.	[AAA4]

(1/10) Tank No. : [10-TK-7210AB] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 19100 mm, DLL = 16900 mm, CA = 1.5 mm, SG = 0.451, Pg = 1961.33 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 230.0 MPa, St= 394.25 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19100.0	42.22	42.31	30.35	31.70	26.40	43.5	#1	24.6o	SA537-CL2	43.5	2733.5	8200.6	3	7,272	21,816	typ=0
	8.2o	8.2o	19002.4	42.22	42.31	30.37	31.71	26.40	43.5										typ=4
	16.4o	24.6o	18233.2	42.22	42.31	30.46	31.80	26.40	43.5										typ=4
2	16.4o	41.0o	16757.5	42.24	42.32	30.63	31.98	26.40	43.5	#2	16.4o	SA537-CL2	43.5	2733.5	9060.6	4	6,546	26,183	typ=3
3	45.0o	86.0o	10216.2	42.85	42.93	31.41	32.76	26.40	44.0	#3	45.0o	SA537-CL2	44.0	2720.8	7550.0	22	6,162	135,572	typ=3
4	4.0o	90.0o	9550.0	42.75	42.99	31.49	32.84	26.40	44.5	#4	53.0o	SA537-CL2	44.5	2727.5	8934.0	22	7,502	165,040	typ=1
	49.0o	139.0o	2342.5	43.56	43.65	32.35	33.70	26.40	44.5										typ=4
5	16.4o	155.4o	866.8	43.70	43.79	32.53	33.87	26.40	45.0	#5	16.4o	SA537-CL2	45.0	2733.5	8860.6	4	6,771	27,085	typ=3
6	16.4o	171.8o	97.6	43.77	43.86	32.62	33.97	26.40	45.0	#6	24.6o	SA537-CL2	45.0	2733.5	8200.6	3	7,523	22,568	typ=2
	8.2o	180.0o	0.0	43.78	43.87	32.63	33.98	26.40	45.0										typ=4
Sub-Total																58	Sht	398,264	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO102]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7310자재 중량표				Rev. No.	[AAA4]

(2/10) Tank No. : [10-TK-7310] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 22800 mm, DLL = 18600 mm, CA = 1.5 mm, SG = 0.526, Pg = 1961.33 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 230.0 MPa, St= 394.25 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	22800.0	50.11	50.22	36.07	37.17	31.22	51.0	#1	21.0o	SA537-CL2	51.0	2785.5	8356.6	3	8,853	26,560	typ=0
	7.0o	7.0o	22715.0	50.11	50.22	36.08	37.18	31.22	51.0										typ=4
	14.0o	21.0o	22042.8	50.11	50.22	36.18	37.28	31.22	51.0										typ=4
2	14.0o	35.0o	20738.3	50.11	50.22	36.36	37.46	31.22	51.0	#2	14.0o	SA537-CL2	51.0	2785.5	9447.2	4	8,140	32,562	typ=3
3	52.0o	87.0o	11996.6	50.97	51.07	37.61	38.70	31.22	52.0	#3	52.0o	SA537-CL2	52.0	2751.2	10390.0	26	9,831	255,596	typ=3
4	3.0o	90.0o	11400.0	50.81	51.14	37.69	38.79	31.22	53.5	#4	58.0o	SA537-CL2	53.5	2754.9	11640.1	26	11,495	298,864	typ=1
	55.0o	145.0o	2061.7	52.23	52.34	39.02	40.12	31.22	53.5										typ=4
5	14.0o	159.0o	757.2	52.39	52.51	39.21	40.30	31.22	53.5	#5	14.0o	SA537-CL2	53.5	2785.5	9247.2	4	8,539	34,158	typ=3
6	14.0o	173.0o	85.0	52.48	52.59	39.30	40.40	31.22	53.5	#6	21.0o	SA537-CL2	53.5	2785.5	8356.6	3	9,287	27,862	typ=2
	7.0o	180.0o	0.0	52.49	52.61	39.31	40.41	31.22	53.5										typ=4
Sub-Total																66	Sht	675,601	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO103]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7320자재 중량표				Rev. No.	[AAA4]

(3/10) Tank No. : [10-TK-7320] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 19100 mm, DLL = 11300 mm, CA = 1.5 mm, SG = 0.526, Pg = 1961.33 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 230.0 MPa, St= 394.25 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19100.0	42.22	42.31	30.45	31.70	26.40	43.5	#1	24.6o	SA537-CL2	43.5	2733.5	8200.6	3	7,272	21,816	typ=0
	8.2o	8.2o	19002.4	42.22	42.31	30.46	31.71	26.40	43.5										typ=4
	16.4o	24.6o	18233.2	42.22	42.31	30.55	31.80	26.40	43.5										typ=4
2	16.4o	41.0o	16757.5	42.22	42.31	30.73	31.98	26.40	43.5	#2	16.4o	SA537-CL2	43.5	2733.5	9060.6	4	6,546	26,183	typ=3
3	45.0o	86.0o	10216.2	42.34	42.43	31.51	32.76	26.40	43.5	#3	45.0o	SA537-CL2	43.5	2720.8	7550.0	22	6,092	134,032	typ=3
4	4.0o	90.0o	9550.0	42.26	42.50	31.59	32.84	26.40	44.5	#4	53.0o	SA537-CL2	44.5	2727.5	8934.0	22	7,502	165,040	typ=1
	49.0o	139.0o	2342.5	43.18	43.28	32.44	33.70	26.40	44.5										typ=4
5	16.4o	155.4o	866.8	43.34	43.43	32.62	33.87	26.40	44.5	#5	16.4o	SA537-CL2	44.5	2733.5	8860.6	4	6,696	26,784	typ=3
6	16.4o	171.8o	97.6	43.42	43.52	32.71	33.97	26.40	44.5	#6	24.6o	SA537-CL2	44.5	2733.5	8200.6	3	7,439	22,317	typ=2
	8.2o	180.0o	0.0	43.44	43.53	32.72	33.98	26.40	44.5										typ=4
Sub-Total																58	Sht	396,172	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO104]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7400ABC자재 중량표				Rev. No.	[AAA4]

(4/10) Tank No. : [10-TK-7400ABC] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 19500 mm, DLL = 15800 mm, CA = 1.5 mm, SG = 0.639, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 158.0 MPa, St= 373.5 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19500.0	19.66	19.66	13.98	16.49	28.76	30.0	#1	24.6o	SA537-CL2	30.0	2790.8	8372.3	3	5,227	15,682	typ=0
	8.2o	8.2o	19400.3	19.66	19.66	14.00	16.50	28.76	30.0										typ=4
	16.4o	24.6o	18615.0	19.66	19.66	14.10	16.60	28.76	30.0										typ=4
2	16.4o	41.0o	17108.4	19.66	19.66	14.29	16.80	28.76	30.0	#2	16.4o	SA537-CL2	30.0	2790.8	9246.1	4	4,705	18,821	typ=3
3	45.0o	86.0o	10430.1	20.76	20.70	15.14	17.65	28.76	30.0	#3	45.0o	SA537-CL2	30.0	2777.8	7700.0	22	4,379	96,348	typ=3
4	4.0o	90.0o	9750.0	21.03	20.84	15.23	17.74	28.76	30.0	#4	53.0o	SA537-CL2	30.0	2784.6	9119.0	22	5,271	115,972	typ=1
	49.0o	139.0o	2391.6	22.25	22.26	16.17	18.68	28.76	30.0										typ=4
5	16.4o	155.4o	885.0	22.54	22.55	16.37	18.87	28.76	30.0	#5	16.4o	SA537-CL2	30.0	2790.8	9046.1	4	4,705	18,821	typ=3
6	16.4o	171.8o	99.7	22.69	22.70	16.47	18.97	28.76	30.0	#6	24.6o	SA537-CL2	30.0	2790.8	8372.3	3	5,227	15,682	typ=2
	8.2o	180.0o	0.0	22.71	22.72	16.48	18.99	28.76	30.0										typ=4
Sub-Total																58	Sht	281,326	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO105]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7420ABC자재 중량표				Rev. No.	[AAA4]

(5/10) Tank No. : [10-TK-7420ABC] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 19900 mm, DLL = 15900 mm, CA = 1.5 mm, SG = 0.639, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 158.0 MPa, St= 373.5 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19900.0	20.03	20.04	14.21	16.76	29.32	30.5	#1	24.6o	SA537-CL2	30.5	2848.0	8544.1	3	5,535	16,605	typ=0
	8.2o	8.2o	19798.3	20.03	20.04	14.23	16.78	29.32	30.5										typ=4
	16.4o	24.6o	18996.9	20.03	20.04	14.33	16.88	29.32	30.5										typ=4
2	16.4o	41.0o	17459.4	20.03	20.04	14.53	17.08	29.32	30.5	#2	16.4o	SA537-CL2	30.5	2848.0	9431.7	4	4,982	19,928	typ=3
3	45.0o	86.0o	10644.1	21.13	21.07	15.42	17.97	29.32	30.5	#3	45.0o	SA537-CL2	30.5	2834.8	7860.0	22	4,637	102,013	typ=3
4	4.0o	90.0o	9950.0	21.36	21.21	15.51	18.06	29.32	30.5	#4	53.0o	SA537-CL2	30.5	2841.7	9304.0	22	5,581	122,792	typ=1
	49.0o	139.0o	2440.6	22.69	22.70	16.49	19.05	29.32	30.5										typ=4
5	16.4o	155.4o	903.1	22.99	23.00	16.70	19.25	29.32	30.5	#5	16.4o	SA537-CL2	30.5	2848.0	9231.7	4	4,982	19,928	typ=3
6	16.4o	171.8o	101.7	23.15	23.16	16.80	19.35	29.32	30.5	#6	24.6o	SA537-CL2	30.5	2848.0	8544.1	3	5,535	16,605	typ=2
	8.2o	180.0o	0.0	23.17	23.18	16.81	19.37	29.32	30.5										typ=4
Sub-Total																58	Sht	297,869	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO106]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7440AB자재 중량표				Rev. No.	[AAA4]

(6/10) Tank No. : [10-TK-7440AB] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 19500 mm, DLL = 15650 mm, CA = 1.5 mm, SG = 0.601, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 158.0 MPa, St= 373.5 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19500.0	19.66	19.66	14.10	16.49	28.76	30.0	#1	24.6o	SA537-CL2	30.0	2790.8	8372.3	3	5,227	15,682	typ=0
	8.2o	8.2o	19400.3	19.66	19.66	14.11	16.50	28.76	30.0										typ=4
	16.4o	24.6o	18615.0	19.66	19.66	14.21	16.60	28.76	30.0										typ=4
2	16.4o	41.0o	17108.4	19.66	19.66	14.41	16.80	28.76	30.0	#2	16.4o	SA537-CL2	30.0	2790.8	9246.1	4	4,705	18,821	typ=3
3	45.0o	86.0o	10430.1	20.66	20.62	15.26	17.65	28.76	30.0	#3	45.0o	SA537-CL2	30.0	2777.8	7700.0	22	4,379	96,348	typ=3
4	4.0o	90.0o	9750.0	20.88	20.74	15.35	17.74	28.76	30.0	#4	53.0o	SA537-CL2	30.0	2784.6	9119.0	22	5,271	115,972	typ=1
	49.0o	139.0o	2391.6	22.07	22.08	16.29	18.68	28.76	30.0										typ=4
5	16.4o	155.4o	885.0	22.34	22.35	16.48	18.87	28.76	30.0	#5	16.4o	SA537-CL2	30.0	2790.8	9046.1	4	4,705	18,821	typ=3
6	16.4o	171.8o	99.7	22.49	22.50	16.58	18.97	28.76	30.0	#6	24.6o	SA537-CL2	30.0	2790.8	8372.3	3	5,227	15,682	typ=2
	8.2o	180.0o	0.0	22.50	22.51	16.59	18.99	28.76	30.0										typ=4
Sub-Total																58	Sht	281,326	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO107]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7320자재 중량표				Rev. No.	[AAA4]

(7/10) Tank No. : [10-TK-7320] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 19100 mm, DLL = 11300 mm, CA = 1.5 mm, SG = 0.526, Pg = 1961.33 kPa, Pe = 101.325 kPa
, SA537-CL1 matid=4, Sd= 201.0 MPa, St= 327.75 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19100.0	48.10	48.21	36.39	37.54	26.40	49.0	#1	24.6o	SA537-CL1	49.0	2733.5	8200.6	3	8,191	24,574	typ=0
	8.2o	8.2o	19002.4	48.10	48.21	36.40	37.55	26.40	49.0										typ=4
	16.4o	24.6o	18233.2	48.10	48.21	36.51	37.66	26.40	49.0										typ=4
2	16.4o	41.0o	16757.5	48.10	48.21	36.72	37.88	26.40	49.0	#2	16.4o	SA537-CL1	49.0	2733.5	9060.6	4	7,373	29,493	typ=3
3	45.0o	86.0o	10216.2	48.23	48.35	37.66	38.81	26.40	49.5	#3	45.0o	SA537-CL1	49.5	2720.8	7550.0	22	6,933	152,519	typ=3
4	4.0o	90.0o	9550.0	48.14	48.43	37.76	38.91	26.40	50.5	#4	53.0o	SA537-CL1	50.5	2727.5	8934.0	22	8,513	187,293	typ=1
	49.0o	139.0o	2342.5	49.20	49.32	38.79	39.94	26.40	50.5										typ=4
5	16.4o	155.4o	866.8	49.38	49.50	39.00	40.15	26.40	50.5	#5	16.4o	SA537-CL1	50.5	2733.5	8860.6	4	7,599	30,396	typ=3
6	16.4o	171.8o	97.6	49.47	49.59	39.11	40.26	26.40	50.5	#6	24.6o	SA537-CL1	50.5	2733.5	8200.6	3	8,442	25,326	typ=2
	8.2o	180.0o	0.0	49.49	49.61	39.13	40.28	26.40	50.5										typ=4
Sub-Total																58	Sht	449,601	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO108]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7400ABC자재 중량표				Rev. No.	[AAA4]

(8/10) Tank No. : [10-TK-7400ABC] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 19500 mm, DLL = 15800 mm, CA = 1.5 mm, SG = 0.639, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL1 matid=4, Sd= 138.0 MPa, St= 310.5 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19500.0	22.29	22.30	14.44	17.33	28.90	30.0	#1	24.6o	SA537-CL1	30.0	2790.8	8372.3	3	5,227	15,682	typ=0
	8.2o	8.2o	19400.3	22.29	22.30	14.45	17.34	28.90	30.0										typ=4
	16.4o	24.6o	18615.0	22.29	22.30	14.57	17.46	28.90	30.0										typ=4
2	16.4o	41.0o	17108.4	22.29	22.30	14.81	17.69	28.90	30.0	#2	16.4o	SA537-CL1	30.0	2790.8	9246.1	4	4,705	18,821	typ=3
3	45.0o	86.0o	10430.1	23.55	23.49	15.83	18.72	28.90	30.0	#3	45.0o	SA537-CL1	30.0	2777.8	7700.0	22	4,379	96,348	typ=3
4	4.0o	90.0o	9750.0	23.87	23.64	15.94	18.83	28.90	30.0	#4	53.0o	SA537-CL1	30.0	2784.6	9119.0	22	5,271	115,972	typ=1
	49.0o	139.0o	2391.6	25.26	25.27	17.07	19.96	28.90	30.0										typ=4
5	16.4o	155.4o	885.0	25.59	25.60	17.31	20.19	28.90	30.0	#5	16.4o	SA537-CL1	30.0	2790.8	9046.1	4	4,705	18,821	typ=3
6	16.4o	171.8o	99.7	25.77	25.78	17.43	20.31	28.90	30.0	#6	24.6o	SA537-CL1	30.0	2790.8	8372.3	3	5,227	15,682	typ=2
	8.2o	180.0o	0.0	25.79	25.80	17.44	20.33	28.90	30.0										typ=4
Sub-Total																58	Sht	281,326	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO109]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7420ABC자재 중량표				Rev. No.	[AAA4]

(9/10) Tank No. : [10-TK-7420ABC] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 19900 mm, DLL = 15900 mm, CA = 1.5 mm, SG = 0.639, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL1 matid=4, Sd= 138.0 MPa, St= 310.5 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19900.0	22.72	22.72	14.67	17.62	29.46	30.5	#1	24.6o	SA537-CL1	30.5	2848.0	8544.1	3	5,535	16,605	typ=0
	8.2o	8.2o	19798.3	22.72	22.72	14.69	17.63	29.46	30.5										typ=4
	16.4o	24.6o	18996.9	22.72	22.72	14.81	17.76	29.46	30.5										typ=4
2	16.4o	41.0o	17459.4	22.72	22.72	15.05	18.00	29.46	30.5	#2	16.4o	SA537-CL1	30.5	2848.0	9431.7	4	4,982	19,928	typ=3
3	45.0o	86.0o	10644.1	23.97	23.91	16.13	19.07	29.46	30.5	#3	45.0o	SA537-CL1	30.5	2834.8	7860.0	22	4,637	102,013	typ=3
4	4.0o	90.0o	9950.0	24.25	24.07	16.24	19.18	29.46	30.5	#4	53.0o	SA537-CL1	30.5	2841.7	9304.0	22	5,581	122,792	typ=1
	49.0o	139.0o	2440.6	25.76	25.77	17.42	20.36	29.46	30.5										typ=4
5	16.4o	155.4o	903.1	26.10	26.12	17.66	20.60	29.46	30.5	#5	16.4o	SA537-CL1	30.5	2848.0	9231.7	4	4,982	19,928	typ=3
6	16.4o	171.8o	101.7	26.29	26.30	17.78	20.73	29.46	30.5	#6	24.6o	SA537-CL1	30.5	2848.0	8544.1	3	5,535	16,605	typ=2
	8.2o	180.0o	0.0	26.31	26.32	17.80	20.74	29.46	30.5										typ=4
Sub-Total																58	Sht	297,869	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO110]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 10-TK-7440AB자재 중량표				Rev. No.	[AAA4]

(10/10) Tank No. : [10-TK-7440AB] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 19500 mm, DLL = 15650 mm, CA = 1.5 mm, SG = 0.601, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA537-CL1 matid=4, Sd= 201.0 MPa, St= 327.75 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	19500.0	15.77	15.78	18.59	21.46	26.92	28.0	#1	24.6o	SA537-CL1	28.0	2790.8	8372.3	3	4,879	14,637	typ=0
	8.2o	8.2o	19400.3	15.77	15.78	18.60	21.47	26.92	28.0										typ=4
	16.4o	24.6o	18615.0	15.77	15.78	18.72	21.59	26.92	28.0										typ=4
2	16.4o	41.0o	17108.4	15.77	15.78	18.94	21.81	26.92	28.0	#2	16.4o	SA537-CL1	28.0	2790.8	9246.1	4	4,392	17,566	typ=3
3	45.0o	86.0o	10430.1	16.56	16.53	19.91	22.78	26.92	28.0	#3	45.0o	SA537-CL1	28.0	2777.8	7700.0	22	4,087	89,924	typ=3
4	4.0o	90.0o	9750.0	16.73	16.63	20.01	22.88	26.92	28.0	#4	53.0o	SA537-CL1	28.0	2784.6	9119.0	22	4,920	108,241	typ=1
	49.0o	139.0o	2391.6	17.67	17.68	21.09	23.96	26.92	28.0										typ=4
5	16.4o	155.4o	885.0	17.88	17.90	21.31	24.18	26.92	28.0	#5	16.4o	SA537-CL1	28.0	2790.8	9046.1	4	4,392	17,566	typ=3
6	16.4o	171.8o	99.7	18.00	18.01	21.42	24.29	26.92	28.0	#6	24.6o	SA537-CL1	28.0	2790.8	8372.3	3	4,879	14,637	typ=2
	8.2o	180.0o	0.0	18.01	18.02	21.44	24.31	26.92	28.0										typ=4
Sub-Total																58	Sht	262,571	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO111]

CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. 10-TK-7210AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.451, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2522.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19103.0	0	0	1961.3	1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	1 / 11
P1	8.2o	8.2o	19005.3	0	0		1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	2 / 11
P2	16.4o	24.6o	18236.1	0	0		1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	3 / 11
P3	16.4o	41.0o	16760.1	141.4	0.6		1961.9	42.24	42.32	43.5	0.7+0.48	2.0177	2.0905			1.0	σeq = 223.087	4 / 11
P4	45.0o	86.0o	10217.8	6683.7	29.6		1990.9	42.85	42.93	44.0	0.7+0.37	2.0127	2.1145			1.0	σeq = 223.76	5 / 11
P5	4.0o	90.0o	9551.5	7350.0	32.5		1993.8	42.75	42.99	44.5	0.7+0.31	2.0098	2.1145			1.0	σeq = 223.239	6 / 11
	49.0o	139.0o	2342.9	14558.6	64.4		2025.7	43.56	43.65	44.5	0.7+0.15	2.0018	2.1385			1.0	σeq = 224.983	8 / 11
P6	16.4o	155.4o	866.9	16034.6	70.9		2032.2	43.70	43.79	45.0	0.7+0.51	2.0193	2.1624			1.0	σeq = 223.112	9 / 11
P7	16.4o	171.8o	97.7	16803.8	74.3		2035.6	43.77	43.86	45.0	0.7+0.44	2.0159	2.1624			1.0	σeq = 223.485	10 / 11
P8	8.2o	180.0o	0	16901.5	74.8		2036.1	43.78	43.87	45.0	0.7+0.43	2.0154	2.1624	2.0018	2.0905	1.0	σeq = 223.533	11 / 11

Div.2　 tReq = R · [ EXP(  0.5 · P 　  S · E 　 ) － 1 ] ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	1.9613	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	2.0018	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.0905	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. 10-TK-7210AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.451, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2502.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19100.0	0	0	2502.2	2502.2	29.74	30.35	31.70	43.5	2.0183	2.0905	σeq = 374.608	1 / 11
P1	8.2o	8.2o	19002.4	97.6	1.0		2503.2	29.75	30.37	31.71	43.5	2.0183	2.0905	σeq = 374.791	2 / 11
P2	16.4o	24.6o	18233.2	866.8	8.5		2510.7	29.84	30.46	31.80	43.5	2.0183	2.0905	σeq = 376.235	3 / 11
P3	16.4o	41.0o	16757.5	2342.5	23.0		2525.2	30.02	30.63	31.98	43.5	2.0177	2.0905	σeq = 379.017	4 / 11
P4	45.0o	86.0o	10216.2	8883.8	87.1		2589.3	30.80	31.41	32.76	44.0	2.0127	2.1145	σeq = 376.625	5 / 11
P5	4.0o	90.0o	9550.0	9550.0	93.7		2595.9	30.88	31.49	32.84	44.5	2.0098	2.1145	σeq = 376.589	6 / 11
	49.0o	139.0o	2342.5	16757.5	164.3		2666.5	31.74	32.35	33.70	44.5	2.0018	2.1385	σeq = 375.94	8 / 11
P6	16.4o	155.4o	866.8	18233.2	178.8		2681.0	31.91	32.53	33.87	45.0	2.0193	2.1624	σeq = 378.484	9 / 11
P7	16.4o	171.8o	97.6	19002.4	186.3		2688.5	32.00	32.62	33.97	45.0	2.0159	2.1624	σeq = 379.816	10 / 11
P8	8.2o	180.0o	0	19100.0	187.3		2689.5	32.01	32.63	33.98	45.0	2.0154	2.1624	σeq = 379.985	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

2.0018

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.5022

25.5153

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0905

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.6131

26.6462

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. 10-TK-7210AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.451, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2502.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19103.0	0	0	19100.0	0	0	42.00	43.5	2.0183	2.0905	287.3074	1 / 11
P1	8.2o	8.2o	19005.3	0	0	19002.4	97.6	1.0	42.00	43.5	2.0183	2.0905	287.3074	2 / 11
P2	16.4o	24.6o	18236.1	0	0	18233.2	866.8	8.5	42.00	43.5	2.0183	2.0905	287.3074	3 / 11
P3	16.4o	41.0o	16760.1	141.4	0.6	16757.5	2342.5	23.0	42.00	43.5	2.0177	2.0905	287.3074	4 / 11
P4	45.0o	86.0o	10217.8	6683.7	29.6	10216.2	8883.8	87.1	42.50	44.0	2.0127	2.1145	294.1581	5 / 11
P5	4.0o	90.0o	9551.5	7350.0	32.5	9550.0	9550.0	93.7	42.50	44.0	2.0098	2.1145	294.1581	6 / 11
	49.0o	139.0o	2342.9	14558.6	64.4	2342.5	16757.5	164.3	43.00	44.5	2.0018	2.1385	301.0888	8 / 11
P6	16.4o	155.4o	866.9	16034.6	70.9	866.8	18233.2	178.8	43.50	45.0	2.0193	2.1624	308.0994	9 / 11
P7	16.4o	171.8o	97.7	16803.8	74.3	97.6	19002.4	186.3	43.50	45.0	2.0159	2.1624	308.0994	10 / 11
P8	8.2o	180.0o	0	16901.5	74.8	0	19100.0	187.3	43.50	45.0	2.0154	2.1624	308.0994	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

2.0018

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.5022

25.5153

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0905

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.6131

26.6462

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

287.3074

2.9297

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=287.3074 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. 10-TK-7210AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.451, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2502.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	42.22	42.3	30.35	31.70	26.40	43.5	0.7+0.49	#1	24.6	43.5	2733.5	8200.6	3	7,272	21,816	1 / 11
P1	8.2o	8.2o	42.22	42.3	30.37	31.71	26.40	43.5	0.7+0.49									2 / 11
P2	16.4o	24.6o	42.22	42.3	30.46	31.80	26.40	43.5	0.7+0.49									3 / 11
P3	16.4o	41.0o	42.24	42.3	30.63	31.98	26.40	43.5	0.7+0.48	#2	16.4	43.5	2733.5	9060.6	4	6,546	26,183	4 / 11
P4	45.0o	86.0o	42.85	42.9	31.41	32.76	26.40	44.0	0.7+0.37	#3	45.0	44.0	2720.8	7550.0	22	6,162	135,572	5 / 11
P5	4.0o	90.0o	42.75	43.0	31.49	32.84	26.40	44.5	0.7+0.31	#4	53.0	44.5	2727.5	8934.0	22	7,502	165,040	6 / 11
	49.0o	139.0o	43.56	43.6	32.35	33.70	26.40	44.5	0.7+0.15									8 / 11
P6	16.4o	155.4o	43.70	43.8	32.53	33.87	26.40	45.0	0.7+0.51	#5	16.4	45.0	2733.5	8860.6	4	6,771	27,085	9 / 11
P7	16.4o	171.8o	43.77	43.9	32.62	33.97	26.40	45.0	0.7+0.44	#6	24.6	45.0	2733.5	8200.6	3	7,523	22,568	10 / 11
P8	8.2o	180.0o	43.78	43.9	32.63	33.98	26.40	45.0	0.7+0.43									11 / 11

], CalcRpt[i][1]=[Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 26.4 mm; Pe :101.32 kPa ≤ Pa = 101.34 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.976; Fic=38.976 MPa; Fha=19.488 MPa; FS=2

S-Tank Engineering	Spherical Tank Calculation [1 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19100 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=279.853, Nφ=30.643

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9551.5	mm	955.15	cm
4	L = Design Liquid level	L =	16900	mm	1690.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	19,513,342	N	1989807.2	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.451		0.451
10	γ = Liquid Density	γ =	4.422799E-6	N/mm³	451.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.97153	degree	0.41838	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	39.68986	degree	0.69272	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965079		0.9965079
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0845584		1.0845584
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4062827		0.4062827
20	C5 = 22 / φ	C5 =	0.9177552		0.9177552
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4062827		0.4062827
22	Calculation Result :
23	PM = P×R/2	PM =	9366.678	N-mm	95.514	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	279.853	N-mm	2.854	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	30.643	N-mm	0.312	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	9781.84	N/mm	9974.701	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9153.17	N/mm	9333.636	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	43.87	mm	4.387	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	42.75	mm	4.275	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	218.107	MPa	2224.072	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	796,043,278	N-mm	8117.382×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	302,455,793	N-mm	3084.191×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	399,651,875	N-mm	4075.315×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	143,432,213	N-mm	1462.602×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	181.584	N/mm	185.164	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	465,232,429	N-mm	4744.051×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	242,695,630	N-mm	2474.807×103	Kg-cm
39	Za = IH / LA × t	Za =	115,293,594	mm³	115.294×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,045,022,834	mm³	5045.023×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7694E-5		1.7694E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.049737E-3		6.049737E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1969.112	mm	196.911	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	46.277	N/mm	47.189	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	40,560,182	N-mm	413.599×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	20,363,155	N-mm	207.646×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	876,464	mm³	8764.642	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	242,102,401	mm³	242.102×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	276.226	mm	27.623	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	547.615	mm	54.762	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	244.15	N/mm	248.964	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	168.56	N/mm	171.883	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,346,694	N	137324.6	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	38466.244	N	3922.5	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7761.219	mm	776.122	cm

piDeg=[23.971534139659223] piRad=[0.4183821974912797] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19103.0	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P1	8.2	19005.3	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P2	24.6	18236.1	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P3	41	16760.1	141.4	0.0006	1.9619	9366.68	5.89	0.08					9372.57	9366.76	223.09	< OK	230	42.24	42.32	43.5	0.08	3.01	0.088	0.001	0.015	0
P4	86	10217.8	6683.7	0.0296	1.9909	9366.68	252.27	30.08					9618.95	9396.76	223.76	< OK	230	42.85	42.93	44.0	0.08	2.71	3.751	0.447	0.625	0.075
P5	90	9551.5	7350.0	0.0325	1.9938	9366.68	279.85	30.64	181.58	46.28	244.15	168.56	9781.84	9153.17	223.24	< OK	230	42.75	42.99	44.0	0.24	2.94	4.161	0.456	0.694	0.076	Column Attached Equator Plate
	139	2342.9	14558.6	0.0644	2.0257	9366.68	281.61	333.41					9648.29	9700.08	224.98	< OK	230	43.56	43.65	44.5	0.09	2.18	4.188	4.958	0.698	0.826
P6	155.4	866.9	16034.6	0.0709	2.0322	9366.68	329.38	347.99					9696.06	9714.66	223.11	< OK	230	43.70	43.79	45.0	0.09	2.99	4.898	5.175	0.816	0.862
P7	171.8	97.7	16803.8	0.0743	2.0356	9366.68	353.90	355.97					9720.58	9722.65	223.48	< OK	230	43.77	43.86	45.0	0.09	2.83	5.263	5.293	0.877	0.882
P8	180	0	16901.5	0.0748	2.0361	9366.68	357.00	357.00					9723.68	9723.68	223.53	< OK	230	43.78	43.87	45.0	0.09	2.81	5.309	5.309	0.885	0.885

S-Tank Engineering	Spherical Tank Calculation [1 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19100 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=745.326, Nφ=149.065

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9550	mm	955.0	cm
4	L = Hydrostatic-test Water Level	L =	19100	mm	1910.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	38,689,801	N	3945261.7	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.10292	degree	0.42068	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9962647		0.9962647
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0901489		1.0901489
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4083770		0.4083770
20	C5 = 22 / φ	C5 =	0.9127525		0.9127525
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4083770		0.4083770
22	Calculation Result :
23	PM = P×R/2	PM =	9365.208	N-mm	95.499	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	745.326	N-mm	7.6	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	149.065	N-mm	1.52	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	10376.76	N/mm	10581.35	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9032.75	N/mm	9210.842	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	26.06	mm	2.606	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	24.84	mm	2.484	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.641	MPa	3697.909	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,578,095,558	N-mm	16092.096×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	595,781,896	N-mm	6075.285×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	792,279,597	N-mm	8079.004×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	282,694,774	N-mm	2882.684×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	356.487	N/mm	363.516	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	922,709,860	N-mm	9409.022×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	481,140,769	N-mm	4906.27×103	Kg-cm
39	Za = IH / LA × t	Za =	85,415,191	mm³	85.415×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,123,036,038	mm³	5123.036×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8183E-5		1.8183E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.149165E-3		6.149165E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1979.275	mm	197.928	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	90.256	N/mm	92.036	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	80,374,408	N-mm	819.591×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	40,351,805	N-mm	411.474×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	890,515	mm³	8905.154	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	248,624,515	mm³	248.625×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	279.192	mm	27.919	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	553.441	mm	55.344	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	481.522	N/mm	491.016	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	333.068	N/mm	339.635	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,675,036	N	272777.7	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	77106.431	N	7862.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7800.0	mm	780.0	cm

piDeg=[24.10291888089687] piRad=[0.4206752938127573] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19100.0	0	0	1.9613	9365.21							9365.21	9365.21	374.61	< OK	394.25	23.75	23.78	25.0	0.03	4.98	0	0	0	0
P1	8.2	19002.4	97.6	0.0010	1.9623	9365.21	6.86	2.28					9372.07	9367.49	374.79	< OK	394.25	23.77	23.80	25.0	0.03	4.94	0.046	0.015	0.008	0.003
P2	24.6	18233.2	866.8	0.0085	1.9698	9365.21	61.21	19.97					9426.41	9385.18	376.24	< OK	394.25	23.86	23.89	25.0	0.03	4.57	0.411	0.134	0.068	0.022
P3	41	16757.5	2342.5	0.0230	1.9843	9365.21	167.09	52.29					9532.30	9417.50	379.02	< OK	394.25	24.03	24.06	25.0	0.03	3.86	1.121	0.351	0.187	0.058
P4	86	10216.2	8883.8	0.0871	2.0484	9365.21	684.29	147.71					10049.50	9512.92	376.62	< OK	394.25	24.84	24.84	26.0		4.47	4.591	0.991	0.765	0.165
P5	90	9550.0	9550.0	0.0937	2.055	9365.21	745.33	149.07	356.49	90.26	481.52	333.07	10376.76	9032.75	376.59	< OK	394.25	24.84	24.92	26.0	0.08	4.48	5	1	0.833	0.167	Column Attached Equator Plate
	139	2342.5	16757.5	0.1643	2.1256	9365.21	727.30	842.10					10092.50	10207.31	375.94	< OK	394.25	25.75	25.78	27.0	0.03	4.64	4.879	5.649	0.813	0.942
P6	155.4	866.8	18233.2	0.1788	2.1401	9365.21	833.19	874.42					10198.39	10239.63	378.48	< OK	394.25	25.92	25.96	27.0	0.04	4.00	5.589	5.866	0.932	0.978
P7	171.8	97.6	19002.4	0.1863	2.1476	9365.21	887.53	892.11					10252.74	10257.32	379.82	< OK	394.25	26.01	26.05	27.0	0.04	3.66	5.954	5.985	0.992	0.997
P8	180	0	19100.0	0.1873	2.1486	9365.21	894.39	894.39					10259.60	10259.60	379.98	< OK	394.25	26.02	26.06	27.0	0.04	3.62	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 398264.204
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19100
MRA(sWt[tid][20][10])= 1146.086
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12550	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3900	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8650	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	18680	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.3168	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.0377	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t43.5 ~ 45	SHT	58	398.264	485.882	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t45, t12×3173×3900	SHT	11	16.402	18.042	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8650L	PCS	11	21.871	21.871	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.3168 deg.)	null	Ø0×0t × 10125L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	436.537	525.795	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. 10-TK-7310				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 22800 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2491 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	22803.0	0	0	1961.3	1961.3	50.11	50.22	51.0	0.7+0.08	1.9928	2.0533			1.0	σeq = 225.876	1 / 11
P1	7.0o	7.0o	22718.0	0	0		1961.3	50.11	50.22	51.0	0.7+0.08	1.9928	2.0533			1.0	σeq = 225.876	2 / 11
P2	14.0o	21.0o	22045.7	0	0		1961.3	50.11	50.22	51.0	0.7+0.08	1.9928	2.0533			1.0	σeq = 225.876	3 / 11
P3	14.0o	35.0o	20741.1	0	0		1961.3	50.11	50.22	51.0	0.7+0.08	1.9928	2.0533			1.0	σeq = 225.876	4 / 11
P4	52.0o	87.0o	11998.2	6603.3	34.1		1995.4	50.97	51.07	52.0	0.7+0.23	1.9989	2.0935			1.0	σeq = 225.321	5 / 11
P5	3.0o	90.0o	11401.5	7200.0	37.1		1998.4	50.81	51.14	53.5	0.7+0.16	1.9959	2.0935			1.0	σeq = 224.562	6 / 11
	55.0o	145.0o	2061.9	16539.6	85.3		2046.6	52.23	52.34	53.5	0.7+0.46	2.0079	2.1537			1.0	σeq = 224.373	8 / 11
P6	14.0o	159.0o	757.3	17844.2	92.0		2053.3	52.39	52.51	53.5	0.7+0.29	2.0012	2.1537			1.0	σeq = 225.108	9 / 11
P7	14.0o	173.0o	85.0	18516.5	95.5		2056.8	52.48	52.59	53.5	0.7+0.21	1.9977	2.1537			1.0	σeq = 225.488	10 / 11
P8	7.0o	180.0o	0	18601.5	96.0		2057.3	52.49	52.61	53.5	0.7+0.19	1.9972	2.1537	1.9928	2.0533	1.0	σeq = 225.536	11 / 11

Div.2　 tReq = R · [ EXP(  0.5 · P 　  S · E 　 ) － 1 ] ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	1.9613	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.9928	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.0533	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. 10-TK-7310				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 22800 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2491 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	22800.0	0	0	2491.0	2491.0	35.50	36.07	37.17	51.0	1.9928	2.0533	σeq = 378.963	1 / 11
P1	7.0o	7.0o	22715.0	85.0	0.8		2491.8	35.51	36.08	37.18	51.0	1.9928	2.0533	σeq = 379.124	2 / 11
P2	14.0o	21.0o	22042.8	757.2	7.4		2498.4	35.61	36.18	37.28	51.0	1.9928	2.0533	σeq = 380.4	3 / 11
P3	14.0o	35.0o	20738.3	2061.7	20.2		2511.2	35.79	36.36	37.46	51.0	1.9928	2.0533	σeq = 382.885	4 / 11
P4	52.0o	87.0o	11996.6	10803.4	105.9		2596.9	37.04	37.61	38.70	52.0	1.9989	2.0935	σeq = 380.739	5 / 11
P5	3.0o	90.0o	11400.0	11400.0	111.8		2602.8	37.12	37.69	38.79	53.5	1.9959	2.0935	σeq = 380.096	6 / 11
	55.0o	145.0o	2061.7	20738.3	203.4		2694.4	38.45	39.02	40.12	53.5	2.0079	2.1537	σeq = 379.664	8 / 11
P6	14.0o	159.0o	757.2	22042.8	216.2		2707.2	38.64	39.21	40.30	53.5	2.0012	2.1537	σeq = 381.896	9 / 11
P7	14.0o	173.0o	85.0	22715.0	222.8		2713.8	38.73	39.30	40.40	53.5	1.9977	2.1537	σeq = 383.05	10 / 11
P8	7.0o	180.0o	0	22800.0	223.6		2714.6	38.74	39.31	40.41	53.5	1.9972	2.1537	σeq = 383.196	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

1.9928

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4910

25.4011

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0533

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.5666

26.1720

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. 10-TK-7310				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 22800 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2491 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	22803.0	0	0	22800.0	0	0	49.50	51.0	1.9928	2.0533	280.1083	1 / 11
P1	7.0o	7.0o	22718.0	0	0	22715.0	85.0	0.8	49.50	51.0	1.9928	2.0533	280.1083	2 / 11
P2	14.0o	21.0o	22045.7	0	0	22042.8	757.2	7.4	49.50	51.0	1.9928	2.0533	280.1083	3 / 11
P3	14.0o	35.0o	20741.1	0	0	20738.3	2061.7	20.2	49.50	51.0	1.9928	2.0533	280.1083	4 / 11
P4	52.0o	87.0o	11998.2	6603.3	34.1	11996.6	10803.4	105.9	50.50	52.0	1.9989	2.0935	291.4892	5 / 11
P5	3.0o	90.0o	11401.5	7200.0	37.1	11400.0	11400.0	111.8	50.50	52.0	1.9959	2.0935	291.4892	6 / 11
	55.0o	145.0o	2061.9	16539.6	85.3	2061.7	20738.3	203.4	52.00	53.5	2.0079	2.1537	308.9816	8 / 11
P6	14.0o	159.0o	757.3	17844.2	92.0	757.2	22042.8	216.2	52.00	53.5	2.0012	2.1537	308.9816	9 / 11
P7	14.0o	173.0o	85.0	18516.5	95.5	85.0	22715.0	222.8	52.00	53.5	1.9977	2.1537	308.9816	10 / 11
P8	7.0o	180.0o	0	18601.5	96.0	0	22800.0	223.6	52.00	53.5	1.9972	2.1537	308.9816	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

1.9928

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4910

25.4011

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0533

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.5666

26.1720

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

280.1083

2.8563

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=280.1083 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. 10-TK-7310				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 22800 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2491 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	50.11	50.2	36.07	37.17	31.22	51.0	0.7+0.08	#1	21.0	51.0	2785.5	8356.6	3	8,853	26,560	1 / 11
P1	7.0o	7.0o	50.11	50.2	36.08	37.18	31.22	51.0	0.7+0.08									2 / 11
P2	14.0o	21.0o	50.11	50.2	36.18	37.28	31.22	51.0	0.7+0.08									3 / 11
P3	14.0o	35.0o	50.11	50.2	36.36	37.46	31.22	51.0	0.7+0.08	#2	14.0	51.0	2785.5	9447.2	4	8,140	32,562	4 / 11
P4	52.0o	87.0o	50.97	51.1	37.61	38.70	31.22	52.0	0.7+0.23	#3	52.0	52.0	2751.2	10390.0	26	9,831	255,596	5 / 11
P5	3.0o	90.0o	50.81	51.1	37.69	38.79	31.22	53.5	0.7+0.16	#4	58.0	53.5	2754.9	11640.1	26	11,495	298,864	6 / 11
	55.0o	145.0o	52.23	52.3	39.02	40.12	31.22	53.5	0.7+0.46									8 / 11
P6	14.0o	159.0o	52.39	52.5	39.21	40.30	31.22	53.5	0.7+0.29	#5	14.0	53.5	2785.5	9247.2	4	8,539	34,158	9 / 11
P7	14.0o	173.0o	52.48	52.6	39.30	40.40	31.22	53.5	0.7+0.21	#6	21.0	53.5	2785.5	8356.6	3	9,287	27,862	10 / 11
P8	7.0o	180.0o	52.49	52.6	39.31	40.41	31.22	53.5	0.7+0.19									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. 10-TK-7210AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.451, Pg= 20 kg/cm²(=1961.33 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2502.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	42.22	42.3	30.35	31.70	26.40	43.5	0.7+0.49	#1	24.6	43.5	2733.5	8200.6	3	7,272	21,816	1 / 11
P1	8.2o	8.2o	42.22	42.3	30.37	31.71	26.40	43.5	0.7+0.49									2 / 11
P2	16.4o	24.6o	42.22	42.3	30.46	31.80	26.40	43.5	0.7+0.49									3 / 11
P3	16.4o	41.0o	42.24	42.3	30.63	31.98	26.40	43.5	0.7+0.48	#2	16.4	43.5	2733.5	9060.6	4	6,546	26,183	4 / 11
P4	45.0o	86.0o	42.85	42.9	31.41	32.76	26.40	44.0	0.7+0.37	#3	45.0	44.0	2720.8	7550.0	22	6,162	135,572	5 / 11
P5	4.0o	90.0o	42.75	43.0	31.49	32.84	26.40	TD90USED	0.7+0.31	#4	53.0	44.5	2727.5	8934.0	22	7,502	165,040	6 / 11
	49.0o	139.0o	43.56	43.6	32.35	33.70	26.40	44.5	0.7+0.15									8 / 11
P6	16.4o	155.4o	43.70	43.8	32.53	33.87	26.40	45.0	0.7+0.51	#5	16.4	45.0	2733.5	8860.6	4	6,771	27,085	9 / 11
P7	16.4o	171.8o	43.77	43.9	32.62	33.97	26.40	45.0	0.7+0.44	#6	24.6	45.0	2733.5	8200.6	3	7,523	22,568	10 / 11
P8	8.2o	180.0o	43.78	43.9	32.63	33.98	26.40	45.0	0.7+0.43									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 31.22 mm; Pe :101.32 kPa ≤ Pa = 101.32 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.973; Fic=38.973 MPa; Fha=19.486 MPa; FS=2

S-Tank Engineering	Spherical Tank Calculation [2 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=22800 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 45200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=395.304, Nφ=28.144

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	22800	mm	2280.0	cm
3	R = Inside Radius in Corroded Condition	R =	11401.5	mm	1140.15	cm
4	L = Design Liquid level	L =	18600	mm	1860.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	35,879,260	N	3658666.3	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.526		0.526
10	γ = Liquid Density	γ =	5.158298E-6	N/mm³	526.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1066.8	mm	106.68	cm
12	N = Number of Support Column	N =	13.0	columns	13	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.35901	degree	0.40769	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	50.83943	degree	0.88732	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9976245		0.9976245
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0584203		1.0584203
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.3964912		0.3964912
20	C5 = 22 / φ	C5 =	0.9418207		0.9418207
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.3964912		0.3964912
22	Calculation Result :
23	PM = P×R/2	PM =	11180.881	N-mm	114.013	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	395.304	N-mm	4.031	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	28.144	N-mm	0.287	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	11736.71	N/mm	11968.113	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	10882.46	N/mm	11097.021	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	52.6	mm	5.26	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	50.81	mm	5.081	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	218.085	MPa	2223.848	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,248,995,727	N-mm	12736.212×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	473,540,207	N-mm	4828.766×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	626,326,993	N-mm	6386.758×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	227,482,434	N-mm	2319.675×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	214.449	N/mm	218.677	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	744,824,108	N-mm	7595.092×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	384,067,096	N-mm	3916.394×103	Kg-cm
39	Za = IH / LA × t	Za =	185,815,873	mm³	185.816×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	7,961,026,173	mm³	7961.026×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.5551E-5		1.5551E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	5.600209E-3		5.600209E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2292.134	mm	229.213	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	53.922	N/mm	54.985	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	62,361,064	N-mm	635.906×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	31,271,858	N-mm	318.884×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,156,506	mm³	11565.058	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	362,253,176	mm³	362.253×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	313.231	mm	31.323	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	621.253	mm	62.125	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	326.565	N/mm	333.004	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	224.091	N/mm	228.509	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,091,739	N	213298.0	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	65687.952	N	6698.3	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	9041.189	mm	904.119	cm

piDeg=[23.35901064103828] piRad=[0.40769164569450933] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=22800 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 45200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	22803.0	0	0	1.9613	11180.88							11180.88	11180.88	225.88	< OK	230	50.11	50.22	51.0	0.11	1.79	0	0	0	0
P1	7	22718.0	0	0	1.9613	11180.88							11180.88	11180.88	225.88	< OK	230	50.11	50.22	51.0	0.11	1.79	0	0	0	0
P2	21	22045.7	0	0	1.9613	11180.88							11180.88	11180.88	225.88	< OK	230	50.11	50.22	51.0	0.11	1.79	0	0	0	0
P3	35	20741.1	0	0	1.9613	11180.88							11180.88	11180.88	225.88	< OK	230	50.11	50.22	51.0	0.11	1.79	0	0	0	0
P4	87	11998.2	6603.3	0.0341	1.9954	11180.88	360.68	27.67					11541.56	11208.55	225.32	< OK	230	50.97	51.06	52.0	0.09	2.03	3.227	0.248	0.538	0.041
P5	90	11401.5	7200.0	0.0371	1.9984	11180.88	395.30	28.14	214.45	53.92	326.56	224.09	11736.71	10882.46	224.56	< OK	230	50.81	51.14	52.0	0.33	2.36	3.537	0.252	0.59	0.042	Column Attached Equator Plate
	145	2061.9	16539.6	0.0853	2.0466	11180.88	455.04	517.69					11635.92	11698.57	224.37	< OK	230	52.23	52.34	53.5	0.11	2.45	4.072	4.632	0.679	0.772
P6	159	757.3	17844.2	0.0920	2.0533	11180.88	513.47	535.99					11694.35	11716.87	225.11	< OK	230	52.39	52.51	53.5	0.12	2.13	4.594	4.796	0.766	0.799
P7	173	85.0	18516.5	0.0955	2.0568	11180.88	543.25	545.75					11724.13	11726.63	225.49	< OK	230	52.48	52.59	53.5	0.11	1.96	4.861	4.883	0.81	0.814
P8	180	0	18601.5	0.0960	2.0573	11180.88	547.00	547.00					11727.88	11727.88	225.54	< OK	230	52.49	52.60	53.5	0.11	1.94	4.894	4.894	0.816	0.816

S-Tank Engineering	Spherical Tank Calculation [2 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=22800 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 45400.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=1062.06, Nφ=212.412

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	22800	mm	2280.0	cm
3	R = Inside Radius in Corroded Condition	R =	11400	mm	1140.0	cm
4	L = Hydrostatic-test Water Level	L =	22800	mm	2280.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	65,824,863	N	6712268.0	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1066.8	mm	106.68	cm
12	N = Number of Support Column	N =	13.0	columns	13	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.46855	degree	0.4096	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9974269		0.9974269
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0631036		1.0631036
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.3982456		0.3982456
20	C5 = 22 / φ	C5 =	0.9374248		0.9374248
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.3982456		0.3982456
22	Calculation Result :
23	PM = P×R/2	PM =	11179.41	N-mm	113.998	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	1062.06	N-mm	10.83	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	212.412	N-mm	2.166	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	12534.13	N/mm	12781.256	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	10795.42	N/mm	11008.265	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	31.63	mm	3.163	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	29.89	mm	2.989	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.553	MPa	3697.012	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	2,291,133,024	N-mm	23363.055×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	863,572,194	N-mm	8805.986×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	1,148,921,831	N-mm	11715.742×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	415,003,037	N-mm	4231.853×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	390.205	N/mm	397.898	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	1,367,170,937	N-mm	13941.264×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	704,774,285	N-mm	7186.698×103	Kg-cm
39	Za = IH / LA × t	Za =	138,397,147	mm³	138.397×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	8,066,553,444	mm³	8066.553×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.5918E-5		1.5918E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	5.678919E-3		5.678919E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2302.279	mm	230.228	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	97.542	N/mm	99.465	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	114,356,171	N-mm	1166.108×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	57,345,558	N-mm	584.762×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,172,373	mm³	11723.729	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	370,597,653	mm³	370.598×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	316.109	mm	31.611	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	626.912	mm	62.691	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	596.404	N/mm	608.163	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	409.906	N/mm	417.988	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	3,843,593	N	391937.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	121,646	N	12404.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	9080.0	mm	908.0	cm

piDeg=[23.468549061715265] piRad=[0.40960345179275726] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=22800 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 45400.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	22800.0	0	0	1.9613	11179.41							11179.41	11179.41	378.96	< OK	394.25	28.36	28.39	29.5	0.03	3.88	0	0	0	0
P1	7	22715.0	85.0	0.0008	1.9621	11179.41	7.13	2.37					11186.54	11181.78	379.12	< OK	394.25	28.37	28.40	29.5	0.03	3.84	0.034	0.011	0.006	0.002
P2	21	22042.8	757.2	0.0074	1.9687	11179.41	63.73	20.92					11243.14	11200.33	380.40	< OK	394.25	28.46	28.50	29.5	0.04	3.51	0.3	0.098	0.05	0.016
P3	35	20738.3	2061.7	0.0202	1.9815	11179.41	174.77	55.71					11354.18	11235.12	382.88	< OK	394.25	28.65	28.68	29.5	0.03	2.88	0.823	0.262	0.137	0.044
P4	87	11996.6	10803.4	0.1059	2.0672	11179.41	996.47	211.31					12175.88	11390.72	380.74	< OK	394.25	29.94	29.93	31.0	-0.01	3.43	4.691	0.995	0.782	0.166
P5	90	11400.0	11400.0	0.1118	2.0731	11179.41	1062.06	212.41	390.20	97.54	596.40	409.91	12534.13	10795.42	380.10	< OK	394.25	29.89	30.01	31.0	0.12	3.59	5	1	0.833	0.167	Column Attached Equator Plate
	145	2061.7	20738.3	0.2034	2.1647	11179.41	1099.70	1218.76					12279.11	12398.17	379.66	< OK	394.25	31.30	31.34	32.5	0.04	3.70	5.177	5.738	0.863	0.956
P6	159	757.2	22042.8	0.2162	2.1775	11179.41	1210.74	1253.55					12390.15	12432.96	381.90	< OK	394.25	31.48	31.52	32.5	0.04	3.13	5.7	5.902	0.95	0.984
P7	173	85.0	22715.0	0.2228	2.1841	11179.41	1267.34	1272.10					12446.75	12451.51	383.05	< OK	394.25	31.58	31.62	32.5	0.04	2.84	5.966	5.989	0.994	0.998
P8	180	0	22800.0	0.2236	2.1849	11179.41	1274.47	1274.47					12453.88	12453.88	383.20	< OK	394.25	31.59	31.63	32.5	0.04	2.80	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 66
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 675600.607
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 22800
MRA(sWt[tid][20][10])= 1633.125
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	13	Columns
2. gCol[tid][2] =	Column OD	OD =	1066.8	mm
3. gCol[tid][3] =	Column thk	thk =	12.78	mm
4. gCol[tid][4] =	Tank Height	Htank =	14400	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	4540	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	9860	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	22310	mm
8. gCol[tid][8] =	Brace Angle	BRang =	28.4353	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	11.9001	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t51 ~ 53.5	SHT	66	675.601	824.233	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t53.5, t15×3651×4540	SHT	13	31.217	34.339	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1066.8×12.78t × 9860L	PCS	13	42.579	42.579	000,000	000,000	3
4	BRACE ( PIPE, θ= 28.4353 deg.)	null	Ø0×0t × 11213L	PCS	26			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				118	749.397	901.151	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 2. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2522.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19103.0	0	0	1961.3	1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	1 / 11
P1	8.2o	8.2o	19005.3	0	0		1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	2 / 11
P2	16.4o	24.6o	18236.1	0	0		1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	3 / 11
P3	16.4o	41.0o	16760.1	0	0		1961.3	42.22	42.31	43.5	0.7+0.49	2.0183	2.0905			1.0	σeq = 223.016	4 / 11
P4	45.0o	86.0o	10217.8	1083.7	5.6		1966.9	42.34	42.43	43.5	0.7+0.37	2.0127	2.0905			1.0	σeq = 223.655	5 / 11
P5	4.0o	90.0o	9551.5	1750.0	9.0		1970.3	42.26	42.50	44.5	0.7+0.30	2.0093	2.0905			1.0	σeq = 223.207	6 / 11
	49.0o	139.0o	2342.9	8958.6	46.2		2007.5	43.18	43.28	44.5	0.7+0.52	2.0200	2.1385			1.0	σeq = 222.965	8 / 11
P6	16.4o	155.4o	866.9	10434.6	53.8		2015.1	43.34	43.43	44.5	0.7+0.37	2.0124	2.1385			1.0	σeq = 223.808	9 / 11
P7	16.4o	171.8o	97.7	11203.8	57.8		2019.1	43.42	43.52	44.5	0.7+0.28	2.0084	2.1385			1.0	σeq = 224.248	10 / 11
P8	8.2o	180.0o	0	11301.5	58.3		2019.6	43.44	43.53	44.5	0.7+0.27	2.0079	2.1385	2.0079	2.0905	1.0	σeq = 224.304	11 / 11

Div.2　 tReq = R · [ EXP(  0.5 · P 　  S · E 　 ) － 1 ] ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	1.9613	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	2.0079	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.0905	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 2. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2509.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19100.0	0	0	2509.9	2509.9	29.74	30.45	31.70	43.5	2.0183	2.0905	σeq = 374.608	1 / 11
P1	8.2o	8.2o	19002.4	97.6	1.0		2510.9	29.75	30.46	31.71	43.5	2.0183	2.0905	σeq = 374.791	2 / 11
P2	16.4o	24.6o	18233.2	866.8	8.5		2518.4	29.84	30.55	31.80	43.5	2.0183	2.0905	σeq = 376.235	3 / 11
P3	16.4o	41.0o	16757.5	2342.5	23.0		2532.9	30.02	30.73	31.98	43.5	2.0183	2.0905	σeq = 379.017	4 / 11
P4	45.0o	86.0o	10216.2	8883.8	87.1		2597.0	30.80	31.51	32.76	43.5	2.0127	2.0905	σeq = 376.625	5 / 11
P5	4.0o	90.0o	9550.0	9550.0	93.7		2603.6	30.88	31.59	32.84	44.5	2.0093	2.0905	σeq = 376.589	6 / 11
	49.0o	139.0o	2342.5	16757.5	164.3		2674.2	31.74	32.44	33.70	44.5	2.0200	2.1385	σeq = 375.94	8 / 11
P6	16.4o	155.4o	866.8	18233.2	178.8		2688.7	31.91	32.62	33.87	44.5	2.0124	2.1385	σeq = 378.484	9 / 11
P7	16.4o	171.8o	97.6	19002.4	186.3		2696.2	32.00	32.71	33.97	44.5	2.0084	2.1385	σeq = 379.816	10 / 11
P8	8.2o	180.0o	0	19100.0	187.3		2697.2	32.01	32.72	33.98	44.5	2.0079	2.1385	σeq = 379.985	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

2.0079

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.5099

25.5939

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0905

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.6131

26.6462

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 2. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2509.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19103.0	0	0	19100.0	0	0	42.00	43.5	2.0183	2.0905	287.3074	1 / 11
P1	8.2o	8.2o	19005.3	0	0	19002.4	97.6	1.0	42.00	43.5	2.0183	2.0905	287.3074	2 / 11
P2	16.4o	24.6o	18236.1	0	0	18233.2	866.8	8.5	42.00	43.5	2.0183	2.0905	287.3074	3 / 11
P3	16.4o	41.0o	16760.1	0	0	16757.5	2342.5	23.0	42.00	43.5	2.0183	2.0905	287.3074	4 / 11
P4	45.0o	86.0o	10217.8	1083.7	5.6	10216.2	8883.8	87.1	42.00	43.5	2.0127	2.0905	287.3074	5 / 11
P5	4.0o	90.0o	9551.5	1750.0	9.0	9550.0	9550.0	93.7	42.00	43.5	2.0093	2.0905	287.3074	6 / 11
	49.0o	139.0o	2342.9	8958.6	46.2	2342.5	16757.5	164.3	43.00	44.5	2.0200	2.1385	301.0888	8 / 11
P6	16.4o	155.4o	866.9	10434.6	53.8	866.8	18233.2	178.8	43.00	44.5	2.0124	2.1385	301.0888	9 / 11
P7	16.4o	171.8o	97.7	11203.8	57.8	97.6	19002.4	186.3	43.00	44.5	2.0084	2.1385	301.0888	10 / 11
P8	8.2o	180.0o	0	11301.5	58.3	0	19100.0	187.3	43.00	44.5	2.0079	2.1385	301.0888	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

2.0079

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.5099

25.5939

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0905

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.6131

26.6462

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

287.3074

2.9297

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=287.3074 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 2. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2509.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	42.22	42.3	30.45	31.70	26.40	43.5	0.7+0.49	#1	24.6	43.5	2733.5	8200.6	3	7,272	21,816	1 / 11
P1	8.2o	8.2o	42.22	42.3	30.46	31.71	26.40	43.5	0.7+0.49									2 / 11
P2	16.4o	24.6o	42.22	42.3	30.55	31.80	26.40	43.5	0.7+0.49									3 / 11
P3	16.4o	41.0o	42.22	42.3	30.73	31.98	26.40	43.5	0.7+0.49	#2	16.4	43.5	2733.5	9060.6	4	6,546	26,183	4 / 11
P4	45.0o	86.0o	42.34	42.4	31.51	32.76	26.40	43.5	0.7+0.37	#3	45.0	43.5	2720.8	7550.0	22	6,092	134,032	5 / 11
P5	4.0o	90.0o	42.26	42.5	31.59	32.84	26.40	44.5	0.7+0.30	#4	53.0	44.5	2727.5	8934.0	22	7,502	165,040	6 / 11
	49.0o	139.0o	43.18	43.3	32.44	33.70	26.40	44.5	0.7+0.52									8 / 11
P6	16.4o	155.4o	43.34	43.4	32.62	33.87	26.40	44.5	0.7+0.37	#5	16.4	44.5	2733.5	8860.6	4	6,696	26,784	9 / 11
P7	16.4o	171.8o	43.42	43.5	32.71	33.97	26.40	44.5	0.7+0.28	#6	24.6	44.5	2733.5	8200.6	3	7,439	22,317	10 / 11
P8	8.2o	180.0o	43.44	43.5	32.72	33.98	26.40	44.5	0.7+0.27									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. 10-TK-7310				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 22800 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm²(=1961.33 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2491 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	50.11	50.2	36.07	37.17	31.22	51.0	0.7+0.08	#1	21.0	51.0	2785.5	8356.6	3	8,853	26,560	1 / 11
P1	7.0o	7.0o	50.11	50.2	36.08	37.18	31.22	51.0	0.7+0.08									2 / 11
P2	14.0o	21.0o	50.11	50.2	36.18	37.28	31.22	51.0	0.7+0.08									3 / 11
P3	14.0o	35.0o	50.11	50.2	36.36	37.46	31.22	51.0	0.7+0.08	#2	14.0	51.0	2785.5	9447.2	4	8,140	32,562	4 / 11
P4	52.0o	87.0o	50.97	51.1	37.61	38.70	31.22	52.0	0.7+0.23	#3	52.0	52.0	2751.2	10390.0	26	9,831	255,596	5 / 11
P5	3.0o	90.0o	50.81	51.1	37.69	38.79	31.22	TD90USED	0.7+0.16	#4	58.0	53.5	2754.9	11640.1	26	11,495	298,864	6 / 11
	55.0o	145.0o	52.23	52.3	39.02	40.12	31.22	53.5	0.7+0.46									8 / 11
P6	14.0o	159.0o	52.39	52.5	39.21	40.30	31.22	53.5	0.7+0.29	#5	14.0	53.5	2785.5	9247.2	4	8,539	34,158	9 / 11
P7	14.0o	173.0o	52.48	52.6	39.30	40.40	31.22	53.5	0.7+0.21	#6	21.0	53.5	2785.5	8356.6	3	9,287	27,862	10 / 11
P8	7.0o	180.0o	52.49	52.6	39.31	40.41	31.22	53.5	0.7+0.19									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 26.4 mm; Pe :101.32 kPa ≤ Pa = 101.34 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.976; Fic=38.976 MPa; Fha=19.488 MPa; FS=2

S-Tank Engineering	Spherical Tank Calculation [3 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19100 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=85.739, Nφ=0.482

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9551.5	mm	955.15	cm
4	L = Design Liquid level	L =	11300	mm	1130.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	15,893,319	N	1620667.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.526		0.526
10	γ = Liquid Density	γ =	5.158298E-6	N/mm³	526.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.97153	degree	0.41838	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	79.44279	degree	1.38654	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965079		0.9965079
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0845584		1.0845584
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4062827		0.4062827
20	C5 = 22 / φ	C5 =	0.9177552		0.9177552
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4062827		0.4062827
22	Calculation Result :
23	PM = P×R/2	PM =	9366.678	N-mm	95.514	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	85.739	N-mm	0.874	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	0.482	N-mm	0.482	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	9562.62	N/mm	9751.159	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9168.3	N/mm	9349.064	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	43.53	mm	4.353	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	42.26	mm	4.226	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	218.016	MPa	2223.144	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	648,365,082	N-mm	6611.484×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	246,345,620	N-mm	2512.026×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	325,510,343	N-mm	3319.282×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	116,823,345	N-mm	1191.267×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	147.897	N/mm	150.813	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	378,924,702	N-mm	3863.957×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	197,671,881	N-mm	2015.692×103	Kg-cm
39	Za = IH / LA × t	Za =	114,012,554	mm³	114.013×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,045,022,834	mm³	5045.023×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7694E-5		1.7694E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.049737E-3		6.049737E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1969.112	mm	196.911	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	37.692	N/mm	38.435	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	33,035,649	N-mm	336.87×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	16,585,479	N-mm	169.125×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	876,464	mm³	8764.642	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	242,102,401	mm³	242.102×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	276.226	mm	27.623	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	547.615	mm	54.762	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	198.857	N/mm	202.778	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	137.289	N/mm	139.996	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,096,862	N	111848.8	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	31330.168	N	3194.8	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7761.219	mm	776.122	cm

piDeg=[23.971534139659223] piRad=[0.4183821974912797] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Sd=230 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19103.0	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P1	8.2	19005.3	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P2	24.6	18236.1	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P3	41	16760.1	0	0	1.9613	9366.68							9366.68	9366.68	223.02	< OK	230	42.22	42.31	43.5	0.09	3.04	0	0	0	0
P4	86	10217.8	1083.7	0.0056	1.9669	9366.68	53.07	0.33					9419.75	9367.01	223.66	< OK	230	42.34	42.43	43.5	0.09	2.76	0.677	0.004	0.113	0.001
P5	90	9551.5	1750.0	0.0090	1.9703	9366.68	85.74	0.48	147.90	37.69	198.86	137.29	9562.62	9168.30	223.21	< OK	230	42.26	42.50	43.5	0.24	2.95	1.093	0.006	0.182	0.001	Column Attached Equator Plate
	139	2342.9	8958.6	0.0462	2.0075	9366.68	190.49	250.90					9557.17	9617.57	222.96	< OK	230	43.18	43.28	44.5	0.10	3.06	2.429	3.199	0.405	0.533
P6	155.4	866.9	10434.6	0.0538	2.0151	9366.68	246.21	267.90					9612.88	9634.58	223.81	< OK	230	43.34	43.43	44.5	0.09	2.69	3.139	3.416	0.523	0.569
P7	171.8	97.7	11203.8	0.0578	2.0191	9366.68	274.80	277.21					9641.48	9643.89	224.25	< OK	230	43.42	43.52	44.5	0.10	2.50	3.504	3.534	0.584	0.589
P8	180	0	11301.5	0.0583	2.0196	9366.68	278.41	278.41					9645.09	9645.09	224.30	< OK	230	43.44	43.53	44.5	0.09	2.48	3.55	3.55	0.592	0.592

S-Tank Engineering	Spherical Tank Calculation [3 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19100 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=745.326, Nφ=149.065

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9550	mm	955.0	cm
4	L = Hydrostatic-test Water Level	L =	19100	mm	1910.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	38,689,801	N	3945261.7	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.10292	degree	0.42068	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9962647		0.9962647
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0901489		1.0901489
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4083770		0.4083770
20	C5 = 22 / φ	C5 =	0.9127525		0.9127525
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4083770		0.4083770
22	Calculation Result :
23	PM = P×R/2	PM =	9365.208	N-mm	95.499	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	745.326	N-mm	7.6	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	149.065	N-mm	1.52	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	10376.76	N/mm	10581.35	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9032.75	N/mm	9210.842	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	26.06	mm	2.606	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	24.84	mm	2.484	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.641	MPa	3697.909	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,578,095,558	N-mm	16092.096×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	595,781,896	N-mm	6075.285×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	792,279,597	N-mm	8079.004×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	282,694,774	N-mm	2882.684×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	356.487	N/mm	363.516	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	922,709,860	N-mm	9409.022×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	481,140,769	N-mm	4906.27×103	Kg-cm
39	Za = IH / LA × t	Za =	85,415,191	mm³	85.415×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,123,036,038	mm³	5123.036×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8183E-5		1.8183E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.149165E-3		6.149165E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1979.275	mm	197.928	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	90.256	N/mm	92.036	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	80,374,408	N-mm	819.591×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	40,351,805	N-mm	411.474×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	890,515	mm³	8905.154	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	248,624,515	mm³	248.625×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	279.192	mm	27.919	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	553.441	mm	55.344	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	481.522	N/mm	491.016	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	333.068	N/mm	339.635	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,675,036	N	272777.7	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	77106.431	N	7862.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7800.0	mm	780.0	cm

piDeg=[24.10291888089687] piRad=[0.4206752938127573] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Syt=394.25 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19100.0	0	0	1.9613	9365.21							9365.21	9365.21	374.61	< OK	394.25	23.75	23.78	25.0	0.03	4.98	0	0	0	0
P1	8.2	19002.4	97.6	0.0010	1.9623	9365.21	6.86	2.28					9372.07	9367.49	374.79	< OK	394.25	23.77	23.80	25.0	0.03	4.94	0.046	0.015	0.008	0.003
P2	24.6	18233.2	866.8	0.0085	1.9698	9365.21	61.21	19.97					9426.41	9385.18	376.24	< OK	394.25	23.86	23.89	25.0	0.03	4.57	0.411	0.134	0.068	0.022
P3	41	16757.5	2342.5	0.0230	1.9843	9365.21	167.09	52.29					9532.30	9417.50	379.02	< OK	394.25	24.03	24.06	25.0	0.03	3.86	1.121	0.351	0.187	0.058
P4	86	10216.2	8883.8	0.0871	2.0484	9365.21	684.29	147.71					10049.50	9512.92	376.62	< OK	394.25	24.84	24.84	26.0		4.47	4.591	0.991	0.765	0.165
P5	90	9550.0	9550.0	0.0937	2.055	9365.21	745.33	149.07	356.49	90.26	481.52	333.07	10376.76	9032.75	376.59	< OK	394.25	24.84	24.92	26.0	0.08	4.48	5	1	0.833	0.167	Column Attached Equator Plate
	139	2342.5	16757.5	0.1643	2.1256	9365.21	727.30	842.10					10092.50	10207.31	375.94	< OK	394.25	25.75	25.78	27.0	0.03	4.64	4.879	5.649	0.813	0.942
P6	155.4	866.8	18233.2	0.1788	2.1401	9365.21	833.19	874.42					10198.39	10239.63	378.48	< OK	394.25	25.92	25.96	27.0	0.04	4.00	5.589	5.866	0.932	0.978
P7	171.8	97.6	19002.4	0.1863	2.1476	9365.21	887.53	892.11					10252.74	10257.32	379.82	< OK	394.25	26.01	26.05	27.0	0.04	3.66	5.954	5.985	0.992	0.997
P8	180	0	19100.0	0.1873	2.1486	9365.21	894.39	894.39					10259.60	10259.60	379.98	< OK	394.25	26.02	26.06	27.0	0.04	3.62	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 396171.907
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19100
MRA(sWt[tid][20][10])= 1146.086
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12550	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3900	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8650	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	18680	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.3168	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.0377	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t43.5 ~ 44.5	SHT	58	396.172	483.330	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t44.5, t12×3173×3900	SHT	11	16.366	18.002	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8650L	PCS	11	21.871	21.871	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.3168 deg.)	null	Ø0×0t × 10125L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	434.409	523.203	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 3. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1199.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19503.0	0	0	588.4	588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	1 / 11
P1	8.2o	8.2o	19403.3	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	2 / 11
P2	16.4o	24.6o	18617.9	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	3 / 11
P3	16.4o	41.0o	17111.1	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	4 / 11
P4	45.0o	86.0o	10431.7	5369.8	33.6		622.0	20.76	20.70	30.0	0.7+0.54	0.8894	0.9717			1.0	σeq = 152.139	5 / 11
P5	4.0o	90.0o	9751.5	6050.0	37.9		626.3	21.03	20.83	30.0	0.7+0.54	0.8851	0.9717			1.0	σeq = 150.511	6 / 11
	49.0o	139.0o	2391.9	13409.6	84.0		672.4	22.25	22.26	30.0	0.7+0.54	0.8390	0.9717			1.0	σeq = 149.058	8 / 11
P6	16.4o	155.4o	885.1	14916.4	93.5		681.9	22.54	22.55	30.0	0.7+0.54	0.8295	0.9717			1.0	σeq = 151.124	9 / 11
P7	16.4o	171.8o	99.7	15701.8	98.4		686.8	22.69	22.70	30.0	0.7+0.54	0.8246	0.9717			1.0	σeq = 152.211	10 / 11
P8	8.2o	180.0o	0	15801.5	99.0		687.4	22.71	22.72	30.0	0.7+0.54	0.8240	0.9717	0.824	0.9717	1.0	σeq = 152.349	11 / 11

A) Operating : 　　tReq =   P·R   2·S·E － 0.2·P     ＋ CA B) Test : 　　tReq =   P·Rc   2·St·E － 0.2·Pt     ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.8240	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.9717	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 3. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1071.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19500.0	0	0	1071.2	1071.2	9.99	13.98	16.49	30.0	0.9230	0.9717	σeq = 337.465	1 / 11
P1	8.2o	8.2o	19400.3	99.7	1.0		1072.2	10.00	14.00	16.50	30.0	0.9230	0.9717	σeq = 338.026	2 / 11
P2	16.4o	24.6o	18615.1	884.9	8.7		1079.9	10.10	14.10	16.60	30.0	0.9230	0.9717	σeq = 323.444	3 / 11
P3	16.4o	41.0o	17108.4	2391.6	23.5		1094.7	10.29	14.29	16.80	30.0	0.9230	0.9717	σeq = 331.621	4 / 11
P4	45.0o	86.0o	10430.1	9069.9	88.9		1160.1	11.15	15.14	17.65	30.0	0.8894	0.9717	σeq = 333.739	5 / 11
P5	4.0o	90.0o	9750.0	9750.0	95.6		1166.8	11.23	15.23	17.74	30.0	0.8851	0.9717	σeq = 332.25	6 / 11
	49.0o	139.0o	2391.6	17108.4	167.8		1239.0	12.18	16.17	18.68	30.0	0.8390	0.9717	σeq = 335.256	8 / 11
P6	16.4o	155.4o	884.9	18615.1	182.6		1253.8	12.37	16.37	18.87	30.0	0.8295	0.9717	σeq = 341.689	9 / 11
P7	16.4o	171.8o	99.7	19400.3	190.3		1261.5	12.47	16.47	18.97	30.0	0.8246	0.9717	σeq = 345.085	10 / 11
P8	8.2o	180.0o	0	19500.0	191.2		1262.4	12.48	16.48	18.99	30.0	0.8240	0.9717	σeq = 345.517	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8240

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0712

10.9232

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9717

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2632

12.8811

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 3. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1071.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19503.0	0	0	19500.0	0	0	28.50	30.0	0.9230	0.9717	110.7280	1 / 11
P1	8.2o	8.2o	19403.3	0	0	19400.3	99.7	1.0	28.50	30.0	0.9230	0.9717	110.7280	2 / 11
P2	16.4o	24.6o	18617.9	0	0	18615.1	884.9	8.7	28.50	30.0	0.9230	0.9717	110.7280	3 / 11
P3	16.4o	41.0o	17111.1	0	0	17108.4	2391.6	23.5	28.50	30.0	0.9230	0.9717	110.7280	4 / 11
P4	45.0o	86.0o	10431.7	5369.8	33.6	10430.1	9069.9	88.9	28.50	30.0	0.8894	0.9717	110.7280	5 / 11
P5	4.0o	90.0o	9751.5	6050.0	37.9	9750.0	9750.0	95.6	28.50	30.0	0.8851	0.9717	110.7280	6 / 11
	49.0o	139.0o	2391.9	13409.6	84.0	2391.6	17108.4	167.8	28.50	30.0	0.8390	0.9717	110.7280	8 / 11
P6	16.4o	155.4o	885.1	14916.4	93.5	884.9	18615.1	182.6	28.50	30.0	0.8295	0.9717	110.7280	9 / 11
P7	16.4o	171.8o	99.7	15701.8	98.4	99.7	19400.3	190.3	28.50	30.0	0.8246	0.9717	110.7280	10 / 11
P8	8.2o	180.0o	0	15801.5	99.0	0	19500.0	191.2	28.50	30.0	0.8240	0.9717	110.7280	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8240

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0712

10.9232

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9717

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2632

12.8811

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

110.728

1.1291

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=110.728 kPa)

● Shell Material MATL = SA537-CL2 - Modulus of Elasticity [SEC. II PART 'D' Table TM-1] Ey = 200133  MPa - Minimum Yield Strength [SEC. II PART 'D' Table 1A] Sy = 415.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 373.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 158.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 158.0  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.0   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-4 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 28.5  mm Outside Radius of tank top head Ro = 9780.0  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003643 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4) Factor B = 37.99719  MPa Design External Pressure, 　Pe = 1.03323 (kg/cm²) Pe = 101.3250  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 110.7280  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 3. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1071.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	19.66	19.7	13.98	16.49	28.76	30.0	0.7+0.54	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	19.66	19.7	14.00	16.50	28.76	30.0	0.7+0.54									2 / 11
P2	16.4o	24.6o	19.66	19.7	14.10	16.60	28.76	30.0	0.7+0.54									3 / 11
P3	16.4o	41.0o	19.66	19.7	14.29	16.80	28.76	30.0	0.7+0.54	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	20.76	20.7	15.14	17.65	28.76	30.0	0.7+0.54	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	21.03	20.8	15.23	17.74	28.76	30.0	0.7+0.54	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	22.25	22.3	16.17	18.68	28.76	30.0	0.7+0.54									8 / 11
P6	16.4o	155.4o	22.54	22.6	16.37	18.87	28.76	30.0	0.7+0.54	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	22.69	22.7	16.47	18.97	28.76	30.0	0.7+0.54	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	22.71	22.7	16.48	18.99	28.76	30.0	0.7+0.54									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 2. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm²(=1961.33 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2509.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	42.22	42.3	30.45	31.70	26.40	43.5	0.7+0.49	#1	24.6	43.5	2733.5	8200.6	3	7,272	21,816	1 / 11
P1	8.2o	8.2o	42.22	42.3	30.46	31.71	26.40	43.5	0.7+0.49									2 / 11
P2	16.4o	24.6o	42.22	42.3	30.55	31.80	26.40	43.5	0.7+0.49									3 / 11
P3	16.4o	41.0o	42.22	42.3	30.73	31.98	26.40	43.5	0.7+0.49	#2	16.4	43.5	2733.5	9060.6	4	6,546	26,183	4 / 11
P4	45.0o	86.0o	42.34	42.4	31.51	32.76	26.40	43.5	0.7+0.37	#3	45.0	43.5	2720.8	7550.0	22	6,092	134,032	5 / 11
P5	4.0o	90.0o	42.26	42.5	31.59	32.84	26.40	TD90USED	0.7+0.30	#4	53.0	44.5	2727.5	8934.0	22	7,502	165,040	6 / 11
	49.0o	139.0o	43.18	43.3	32.44	33.70	26.40	44.5	0.7+0.52									8 / 11
P6	16.4o	155.4o	43.34	43.4	32.62	33.87	26.40	44.5	0.7+0.37	#5	16.4	44.5	2733.5	8860.6	4	6,696	26,784	9 / 11
P7	16.4o	171.8o	43.42	43.5	32.71	33.97	26.40	44.5	0.7+0.28	#6	24.6	44.5	2733.5	8200.6	3	7,439	22,317	10 / 11
P8	8.2o	180.0o	43.44	43.5	32.72	33.98	26.40	44.5	0.7+0.27									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 28.76 mm; Pe :101.32 kPa ≤ Pa = 101.32 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003485; Factor_B = 36.346 MPa

S-Tank Engineering	Spherical Tank Calculation [4 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19500 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=345.982, Nφ=23.717

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9751.5	mm	975.15	cm
4	L = Design Liquid level	L =	15800	mm	1580.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	24,194,769	N	2467179.8	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 158MPa	S =	158.0	MPa	1611.152	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.639		0.639
10	γ = Liquid Density	γ =	6.266449E-6	N/mm³	639.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.89916	degree	0.41712	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	51.65338	degree	0.90152	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9966413		0.9966413
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0814764		1.0814764
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4051282		0.4051282
20	C5 = 22 / φ	C5 =	0.9205344		0.9205344
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4051282		0.4051282
22	Calculation Result :
23	PM = P×R/2	PM =	2868.891	N-mm	29.255	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	345.982	N-mm	3.528	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	23.717	N-mm	0.242	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3381.07	N/mm	3447.732	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2595.2	N/mm	2646.368	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	22.72	mm	2.272	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	21.03	mm	2.103	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	140.249	MPa	1430.142	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,007,688,585	N-mm	10275.564×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	384,220,949	N-mm	3917.963×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	505,907,962	N-mm	5158.826×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	182,149,862	N-mm	1857.412×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	221.761	N/mm	226.133	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	588,778,145	N-mm	6003.866×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	307,217,978	N-mm	3132.752×103	Kg-cm
39	Za = IH / LA × t	Za =	62,392,743	mm³	62.393×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,321,838,328	mm³	5321.838×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7429E-5		1.7429E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	5.995425E-3		5.995425E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2004.451	mm	200.445	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	55.563	N/mm	56.658	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	50,306,621	N-mm	512.985×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	25,256,335	N-mm	257.543×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	905,393	mm³	9053.928	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	253,803,952	mm³	253.804×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	280.325	mm	28.033	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	555.77	mm	55.577	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	297.413	N/mm	303.277	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	206.613	N/mm	210.687	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,678,933	N	171203.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	46438.879	N	4735.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7901.215	mm	790.122	cm

piDeg=[23.89916138216077] piRad=[0.41711905458418425] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19503.0	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P1	8.2	19403.3	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P2	24.6	18617.9	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P3	41	17111.1	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P4	86	10431.7	5369.8	0.0336	0.622	2868.89	305.13	23.00					3174.03	2891.89	152.14	< OK	158	20.76	20.70	21.5	-0.06	3.71	3.072	0.232	0.512	0.039
P5	90	9751.5	6050.0	0.0379	0.6263	2868.89	345.98	23.72	221.76	55.56	297.41	206.61	3381.07	2595.20	150.51	< OK	158	21.03	20.84	22.0	-0.19	4.74	3.484	0.239	0.581	0.04	Column Attached Equator Plate
	139	2391.9	13409.6	0.0840	0.6724	2868.89	371.47	447.95					3240.36	3316.85	149.06	< OK	158	22.25	22.26	23.5	0.01	5.66	3.74	4.51	0.623	0.752
P6	155.4	885.1	14916.4	0.0935	0.6819	2868.89	442.02	469.49					3310.91	3338.38	151.12	< OK	158	22.54	22.55	23.5	0.01	4.35	4.451	4.727	0.742	0.788
P7	171.8	99.7	15701.8	0.0984	0.6868	2868.89	478.22	481.27					3347.11	3350.16	152.21	< OK	158	22.69	22.70	23.5	0.01	3.66	4.815	4.846	0.803	0.808
P8	180	0	15801.5	0.0990	0.6874	2868.89	482.79	482.79					3351.68	3351.68	152.35	< OK	158	22.71	22.72	23.5	0.01	3.58	4.861	4.861	0.81	0.81

S-Tank Engineering	Spherical Tank Calculation [4 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19500 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=776.871, Nφ=155.374

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9750	mm	975.0	cm
4	L = Hydrostatic-test Water Level	L =	19500	mm	1950.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	39,315,021	N	4009016.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 373.5MPa	S =	373.5	MPa	3808.64	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.96345	degree	0.41824	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965228		0.9965228
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0842144		1.0842144
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4061538		0.4061538
20	C5 = 22 / φ	C5 =	0.9180647		0.9180647
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4061538		0.4061538
22	Calculation Result :
23	PM = P×R/2	PM =	2868.45	N-mm	29.25	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	776.871	N-mm	7.922	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	155.374	N-mm	1.584	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3914.37	N/mm	3991.547	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2541.77	N/mm	2591.884	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	10.18	mm	1.018	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	9.34	mm	0.934	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	317.148	MPa	3234.01	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,637,180,509	N-mm	16694.595×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	622,289,485	N-mm	6345.587×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	821,943,074	N-mm	8381.487×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	295,095,114	N-mm	3009.133×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	358.625	N/mm	365.696	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	956,792,497	N-mm	9756.568×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	499,138,647	N-mm	5089.798×103	Kg-cm
39	Za = IH / LA × t	Za =	36,017,275	mm³	36.017×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,360,909,205	mm³	5360.909×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7664E-5		1.7664E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.043657E-3		6.043657E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2009.377	mm	200.938	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	89.573	N/mm	91.339	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	81,722,547	N-mm	833.338×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	41,028,635	N-mm	418.376×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	912,359	mm³	9123.59	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	257,083,028	mm³	257.083×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	281.778	mm	28.178	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	558.626	mm	55.863	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	482.056	N/mm	491.56	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	335.181	N/mm	341.789	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,730,504	N	278433.9	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	75872.611	N	7736.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7920.0	mm	792.0	cm

piDeg=[23.96345330703667] piRad=[0.4182411603557135] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19500.0	0	0	0.5884	2868.45							2868.45	2868.45	337.46	< OK	373.5	7.68	7.68	8.5		9.65	0	0	0	0
P1	8.2	19400.3	99.7	0.0010	0.5894	2868.45	7.15	2.38					2875.60	2870.83	338.03	< OK	373.5	7.69	7.69	8.5		9.50	0.046	0.015	0.008	0.003
P2	24.6	18615.1	884.9	0.0087	0.5971	2868.45	63.80	20.82					2932.25	2889.27	323.44	< OK	373.5	7.79	7.79	9.0		13.40	0.411	0.134	0.068	0.022
P3	41	17108.4	2391.6	0.0235	0.6119	2868.45	174.17	54.50					3042.62	2922.95	331.62	< OK	373.5	7.99	7.99	9.0		11.21	1.121	0.351	0.187	0.058
P4	86	10430.1	9069.9	0.0889	0.6773	2868.45	713.25	153.96					3581.70	3022.41	333.74	< OK	373.5	8.94	8.84	10.0	-0.10	10.65	4.591	0.991	0.765	0.165
P5	90	9750.0	9750.0	0.0956	0.684	2868.45	776.87	155.37	358.63	89.57	482.06	335.18	3914.37	2541.77	332.25	< OK	373.5	9.34	8.93	10.5	-0.41	11.04	5	1	0.833	0.167	Column Attached Equator Plate
	139	2391.6	17108.4	0.1678	0.7562	2868.45	758.08	877.74					3626.53	3746.19	335.26	< OK	373.5	9.87	9.87	11.0		10.24	4.879	5.649	0.813	0.942
P6	155.4	884.9	18615.1	0.1826	0.771	2868.45	868.45	911.43					3736.90	3779.88	341.69	< OK	373.5	10.06	10.06	11.0		8.52	5.589	5.866	0.932	0.978
P7	171.8	99.7	19400.3	0.1903	0.7787	2868.45	925.09	929.87					3793.54	3798.32	345.08	< OK	373.5	10.16	10.17	11.0	0.01	7.61	5.954	5.985	0.992	0.997
P8	180	0	19500.0	0.1912	0.7796	2868.45	932.24	932.24					3800.69	3800.69	345.52	< OK	373.5	10.18	10.18	11.0		7.49	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 281326.17
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19500
MRA(sWt[tid][20][10])= 1194.591
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12750	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3960	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8790	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19060	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.4208	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1946	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t30 ~ 30	SHT	58	281.326	343.218	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t30, t12×3173×3960	SHT	11	15.521	17.073	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8790L	PCS	11	22.225	22.225	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.4208 deg.)	null	Ø0×0t × 10300L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	319.072	382.516	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 4. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1196.4 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19903.0	0	0	588.4	588.4	20.03	20.04	30.5	0.7+0.48	0.9203	0.9680			1.0	σeq = 150.14	1 / 11
P1	8.2o	8.2o	19801.3	0	0		588.4	20.03	20.04	30.5	0.7+0.48	0.9203	0.9680			1.0	σeq = 150.14	2 / 11
P2	16.4o	24.6o	18999.8	0	0		588.4	20.03	20.04	30.5	0.7+0.48	0.9203	0.9680			1.0	σeq = 150.14	3 / 11
P3	16.4o	41.0o	17462.0	0	0		588.4	20.03	20.04	30.5	0.7+0.48	0.9203	0.9680			1.0	σeq = 150.14	4 / 11
P4	45.0o	86.0o	10645.7	5255.8	32.9		621.3	21.13	21.07	30.5	0.7+0.48	0.8874	0.9680			1.0	σeq = 151.29	5 / 11
P5	4.0o	90.0o	9951.5	5950.0	37.3		625.7	21.36	21.21	30.5	0.7+0.48	0.8830	0.9680			1.0	σeq = 149.446	6 / 11
	49.0o	139.0o	2441.0	13460.5	84.3		672.7	22.69	22.69	30.5	0.7+0.48	0.8360	0.9680			1.0	σeq = 152.188	8 / 11
P6	16.4o	155.4o	903.2	14998.3	94.0		682.4	22.99	23.00	30.5	0.7+0.48	0.8263	0.9680			1.0	σeq = 150.91	9 / 11
P7	16.4o	171.8o	101.7	15799.8	99.0		687.4	23.15	23.16	30.5	0.7+0.48	0.8213	0.9680			1.0	σeq = 152.016	10 / 11
P8	8.2o	180.0o	0	15901.5	99.6		688.0	23.17	23.18	30.5	0.7+0.48	0.8207	0.9680	0.8207	0.968	1.0	σeq = 152.157	11 / 11

A) Operating : 　　tReq =   P·R   2·S·E － 0.2·P     ＋ CA B) Test : 　　tReq =   P·Rc   2·St·E － 0.2·Pt     ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.8207	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.9680	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 4. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1066.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19900.0	0	0	1066.9	1066.9	10.19	14.21	16.76	30.5	0.9203	0.9680	σeq = 325.254	1 / 11
P1	8.2o	8.2o	19798.3	101.7	1.0		1067.9	10.20	14.23	16.78	30.5	0.9203	0.9680	σeq = 325.806	2 / 11
P2	16.4o	24.6o	18996.9	903.1	8.9		1075.8	10.31	14.33	16.88	30.5	0.9203	0.9680	σeq = 330.178	3 / 11
P3	16.4o	41.0o	17459.4	2440.6	23.9		1090.8	10.51	14.53	17.08	30.5	0.9203	0.9680	σeq = 338.697	4 / 11
P4	45.0o	86.0o	10644.1	9255.9	90.8		1157.7	11.40	15.42	17.97	30.5	0.8874	0.9680	σeq = 341.632	5 / 11
P5	4.0o	90.0o	9950.0	9950.0	97.6		1164.5	11.49	15.51	18.06	30.5	0.8830	0.9680	σeq = 339.038	6 / 11
	49.0o	139.0o	2440.6	17459.4	171.2		1238.1	12.47	16.49	19.05	30.5	0.8360	0.9680	σeq = 343.695	8 / 11
P6	16.4o	155.4o	903.1	18996.9	186.3		1253.2	12.67	16.70	19.25	30.5	0.8263	0.9680	σeq = 335.157	9 / 11
P7	16.4o	171.8o	101.7	19798.3	194.2		1261.1	12.78	16.80	19.35	30.5	0.8213	0.9680	σeq = 338.54	10 / 11
P8	8.2o	180.0o	0	19900.0	195.2		1262.1	12.79	16.81	19.37	30.5	0.8207	0.9680	σeq = 338.971	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8207

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0669

10.8794

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9680

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2584

12.8321

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 4. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1066.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19903.0	0	0	19900.0	0	0	29.00	30.5	0.9203	0.9680	110.0867	1 / 11
P1	8.2o	8.2o	19801.3	0	0	19798.3	101.7	1.0	29.00	30.5	0.9203	0.9680	110.0867	2 / 11
P2	16.4o	24.6o	18999.8	0	0	18996.9	903.1	8.9	29.00	30.5	0.9203	0.9680	110.0867	3 / 11
P3	16.4o	41.0o	17462.0	0	0	17459.4	2440.6	23.9	29.00	30.5	0.9203	0.9680	110.0867	4 / 11
P4	45.0o	86.0o	10645.7	5255.8	32.9	10644.1	9255.9	90.8	29.00	30.5	0.8874	0.9680	110.0867	5 / 11
P5	4.0o	90.0o	9951.5	5950.0	37.3	9950.0	9950.0	97.6	29.00	30.5	0.8830	0.9680	110.0867	6 / 11
	49.0o	139.0o	2441.0	13460.5	84.3	2440.6	17459.4	171.2	29.00	30.5	0.8360	0.9680	110.0867	8 / 11
P6	16.4o	155.4o	903.2	14998.3	94.0	903.1	18996.9	186.3	29.00	30.5	0.8263	0.9680	110.0867	9 / 11
P7	16.4o	171.8o	101.7	15799.8	99.0	101.7	19798.3	194.2	29.00	30.5	0.8213	0.9680	110.0867	10 / 11
P8	8.2o	180.0o	0	15901.5	99.6	0	19900.0	195.2	29.00	30.5	0.8207	0.9680	110.0867	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8207

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0669

10.8794

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9680

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2584

12.8321

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

110.0867

1.1226

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=110.0867 kPa)

● Shell Material MATL = SA537-CL2 - Modulus of Elasticity [SEC. II PART 'D' Table TM-1] Ey = 200133  MPa - Minimum Yield Strength [SEC. II PART 'D' Table 1A] Sy = 415.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 373.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 158.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 158.0  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.0   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-4 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 29.0  mm Outside Radius of tank top head Ro = 9980.5  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003632 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4) Factor B = 37.88689  MPa Design External Pressure, 　Pe = 1.03323 (kg/cm²) Pe = 101.3250  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 110.0867  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 4. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1066.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	20.03	20.0	14.21	16.76	29.32	30.5	0.7+0.48	#1	24.6	30.5	2848.0	8544.1	3	5,535	16,605	1 / 11
P1	8.2o	8.2o	20.03	20.0	14.23	16.78	29.32	30.5	0.7+0.48									2 / 11
P2	16.4o	24.6o	20.03	20.0	14.33	16.88	29.32	30.5	0.7+0.48									3 / 11
P3	16.4o	41.0o	20.03	20.0	14.53	17.08	29.32	30.5	0.7+0.48	#2	16.4	30.5	2848.0	9431.7	4	4,982	19,928	4 / 11
P4	45.0o	86.0o	21.13	21.1	15.42	17.97	29.32	30.5	0.7+0.48	#3	45.0	30.5	2834.8	7860.0	22	4,637	102,013	5 / 11
P5	4.0o	90.0o	21.36	21.2	15.51	18.06	29.32	30.5	0.7+0.48	#4	53.0	30.5	2841.7	9304.0	22	5,581	122,792	6 / 11
	49.0o	139.0o	22.69	22.7	16.49	19.05	29.32	30.5	0.7+0.48									8 / 11
P6	16.4o	155.4o	22.99	23.0	16.70	19.25	29.32	30.5	0.7+0.48	#5	16.4	30.5	2848.0	9231.7	4	4,982	19,928	9 / 11
P7	16.4o	171.8o	23.15	23.2	16.80	19.35	29.32	30.5	0.7+0.48	#6	24.6	30.5	2848.0	8544.1	3	5,535	16,605	10 / 11
P8	8.2o	180.0o	23.17	23.2	16.81	19.37	29.32	30.5	0.7+0.48									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 3. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=1071.2 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	19.66	19.7	13.98	16.49	28.76	30.0	0.7+0.54	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	19.66	19.7	14.00	16.50	28.76	30.0	0.7+0.54									2 / 11
P2	16.4o	24.6o	19.66	19.7	14.10	16.60	28.76	30.0	0.7+0.54									3 / 11
P3	16.4o	41.0o	19.66	19.7	14.29	16.80	28.76	30.0	0.7+0.54	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	20.76	20.7	15.14	17.65	28.76	30.0	0.7+0.54	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	21.03	20.8	15.23	17.74	28.76	TD90USED	0.7+0.54	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	22.25	22.3	16.17	18.68	28.76	30.0	0.7+0.54									8 / 11
P6	16.4o	155.4o	22.54	22.6	16.37	18.87	28.76	30.0	0.7+0.54	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	22.69	22.7	16.47	18.97	28.76	30.0	0.7+0.54	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	22.71	22.7	16.48	18.99	28.76	30.0	0.7+0.54									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 29.32 mm; Pe :101.32 kPa ≤ Pa = 101.33 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003485; Factor_B = 36.347 MPa

S-Tank Engineering	Spherical Tank Calculation [5 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19900 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 41600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=348.938, Nφ=22.107

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19900	mm	1990.0	cm
3	R = Inside Radius in Corroded Condition	R =	9951.5	mm	995.15	cm
4	L = Design Liquid level	L =	15900	mm	1590.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	25,441,515	N	2594312.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 158MPa	S =	158.0	MPa	1611.152	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.639		0.639
10	γ = Liquid Density	γ =	6.266449E-6	N/mm³	639.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1016.0	mm	101.6	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.71409	degree	0.43134	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	53.28037	degree	0.92992	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9951161		0.9951161
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1160787		1.1160787
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4180905		0.4180905
20	C5 = 22 / φ	C5 =	0.8901805		0.8901805
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4180905		0.4180905
22	Calculation Result :
23	PM = P×R/2	PM =	2927.731	N-mm	29.855	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	348.938	N-mm	3.558	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	22.107	N-mm	0.225	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3435.31	N/mm	3503.041	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2653.49	N/mm	2705.807	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	23.18	mm	2.318	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	21.36	mm	2.136	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	139.483	MPa	1422.331	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,081,346,670	N-mm	11026.667×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	396,386,303	N-mm	4042.015×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	542,887,850	N-mm	5535.915×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	188,557,230	N-mm	1922.749×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	214.874	N/mm	219.111	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	633,667,137	N-mm	6461.607×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	329,791,715	N-mm	3362.94×103	Kg-cm
39	Za = IH / LA × t	Za =	70,776,564	mm³	70.777×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	6,231,816,825	mm³	6231.817×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	2.0601E-5		2.0601E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.62588E-3		6.62588E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2113.18	mm	211.318	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	56.232	N/mm	57.341	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	58,567,250	N-mm	597.22×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	29,403,566	N-mm	299.833×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,041,524	mm³	10415.239	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	318,426,657	mm³	318.427×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	305.731	mm	30.573	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	605.772	mm	60.577	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	296.348	N/mm	302.191	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	202.069	N/mm	206.053	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,738,263	N	177253.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	56797.521	N	5791.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	8321.254	mm	832.125	cm

piDeg=[24.71408833429126] piRad=[0.4313422130621035] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19900 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 41600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19903.0	0	0	0.5884	2927.73							2927.73	2927.73	150.14	< OK	158	20.03	20.04	21.0	0.01	4.97	0	0	0	0
P1	8.2	19801.3	0	0	0.5884	2927.73							2927.73	2927.73	150.14	< OK	158	20.03	20.04	21.0	0.01	4.97	0	0	0	0
P2	24.6	18999.8	0	0	0.5884	2927.73							2927.73	2927.73	150.14	< OK	158	20.03	20.04	21.0	0.01	4.97	0	0	0	0
P3	41	17462.0	0	0	0.5884	2927.73							2927.73	2927.73	150.14	< OK	158	20.03	20.04	21.0	0.01	4.97	0	0	0	0
P4	86	10645.7	5255.8	0.0329	0.6213	2927.73	306.38	21.38					3234.11	2949.11	151.29	< OK	158	21.13	21.07	22.0	-0.06	4.25	2.962	0.207	0.494	0.034
P5	90	9951.5	5950.0	0.0373	0.6257	2927.73	348.94	22.11	214.87	56.23	296.35	202.07	3435.31	2653.49	149.45	< OK	158	21.36	21.21	22.5	-0.15	5.41	3.374	0.214	0.562	0.036	Column Attached Equator Plate
	139	2441.0	13460.5	0.0843	0.6727	2927.73	379.87	459.53					3307.60	3387.26	152.19	< OK	158	22.69	22.70	23.5	0.01	3.68	3.673	4.443	0.612	0.74
P6	155.4	903.2	14998.3	0.0940	0.6824	2927.73	453.35	481.95					3381.08	3409.69	150.91	< OK	158	22.99	23.00	24.0	0.01	4.49	4.383	4.66	0.731	0.777
P7	171.8	101.7	15799.8	0.0990	0.6874	2927.73	491.05	494.23					3418.78	3421.96	152.02	< OK	158	23.15	23.16	24.0	0.01	3.79	4.748	4.778	0.791	0.796
P8	180	0	15901.5	0.0996	0.688	2927.73	495.81	495.81					3423.54	3423.54	152.16	< OK	158	23.17	23.18	24.0	0.01	3.70	4.794	4.794	0.799	0.799

S-Tank Engineering	Spherical Tank Calculation [5 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19900 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 41700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=809.069, Nφ=161.814

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19900	mm	1990.0	cm
3	R = Inside Radius in Corroded Condition	R =	9950	mm	995.0	cm
4	L = Hydrostatic-test Water Level	L =	19900	mm	1990.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	41,805,739	N	4262999.0	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 373.5MPa	S =	373.5	MPa	3808.64	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1016.0	mm	101.6	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.77749	degree	0.43245	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9949953		0.9949953
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1187616		1.1187616
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4190955		0.4190955
20	C5 = 22 / φ	C5 =	0.8879025		0.8879025
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4190955		0.4190955
22	Calculation Result :
23	PM = P×R/2	PM =	2927.29	N-mm	29.85	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	809.069	N-mm	8.25	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	161.814	N-mm	1.65	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3996.14	N/mm	4074.929	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2603.31	N/mm	2654.637	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	10.44	mm	1.044	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	9.53	mm	0.953	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	309.557	MPa	3156.603	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,776,611,286	N-mm	18116.393×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	649,271,969	N-mm	6620.732×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	891,944,006	N-mm	9095.298×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	308,930,154	N-mm	3150.211×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	351.488	N/mm	358.418	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	1,041,339,322	N-mm	10618.706×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	541,860,896	N-mm	5525.443×103	Kg-cm
39	Za = IH / LA × t	Za =	41,477,264	mm³	41.477×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	6,275,251,496	mm³	6275.251×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	2.0866E-5		2.0866E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.67669E-3		6.67669E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2118.113	mm	211.811	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	91.704	N/mm	93.512	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	96,211,056	N-mm	981.08×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	48,302,561	N-mm	492.549×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,049,151	mm³	10491.511	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	322,342,495	mm³	322.342×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	307.241	mm	30.724	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	608.734	mm	60.873	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	485.789	N/mm	495.367	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	331.537	N/mm	338.074	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,858,834	N	291519.9	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	93816.378	N	9566.6	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	8340.0	mm	834.0	cm

piDeg=[24.77749436195018] piRad=[0.4324488570103622] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19900 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 41700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19900.0	0	0	0.5884	2927.29							2927.29	2927.29	325.25	< OK	373.5	7.84	7.84	9.0		12.92	0	0	0	0
P1	8.2	19798.3	101.7	0.0010	0.5894	2927.29	7.45	2.48					2934.74	2929.77	325.81	< OK	373.5	7.85	7.85	9.0		12.77	0.046	0.015	0.008	0.003
P2	24.6	18996.9	903.1	0.0089	0.5973	2927.29	66.44	21.68					2993.73	2948.97	330.18	< OK	373.5	7.96	7.96	9.0		11.60	0.411	0.134	0.068	0.022
P3	41	17459.4	2440.6	0.0239	0.6123	2927.29	181.39	56.76					3108.68	2984.05	338.70	< OK	373.5	8.16	8.16	9.0		9.32	1.121	0.351	0.187	0.058
P4	86	10644.1	9255.9	0.0908	0.6792	2927.29	742.82	160.34					3670.11	3087.63	341.63	< OK	373.5	9.15	9.05	10.0	-0.10	8.53	4.591	0.991	0.765	0.165
P5	90	9950.0	9950.0	0.0976	0.686	2927.29	809.07	161.81	351.49	91.70	485.79	331.54	3996.14	2603.31	339.04	< OK	373.5	9.53	9.14	10.5	-0.39	9.23	5	1	0.833	0.167	Column Attached Equator Plate
	139	2440.6	17459.4	0.1712	0.7596	2927.29	789.50	914.12					3716.79	3841.41	343.70	< OK	373.5	10.12	10.12	11.0		7.98	4.879	5.649	0.813	0.942
P6	155.4	903.1	18996.9	0.1863	0.7747	2927.29	904.44	949.20					3831.73	3876.49	335.16	< OK	373.5	10.32	10.32	11.5		10.27	5.589	5.866	0.932	0.978
P7	171.8	101.7	19798.3	0.1942	0.7826	2927.29	963.43	968.41					3890.72	3895.70	338.54	< OK	373.5	10.42	10.43	11.5	0.01	9.36	5.954	5.985	0.992	0.997
P8	180	0	19900.0	0.1952	0.7836	2927.29	970.88	970.88					3898.17	3898.17	338.97	< OK	373.5	10.44	10.44	11.5		9.24	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 297869.132
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19900
MRA(sWt[tid][20][10])= 1244.102
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	1016	mm
3. gCol[tid][3] =	Column thk	thk =	11.13	mm
4. gCol[tid][4] =	Tank Height	Htank =	12950	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	4170	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8780	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19410	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.9158	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.741	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t30.5 ~ 30.5	SHT	58	297.869	363.400	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t30.5, t13×3492×4170	SHT	11	19.228	21.150	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1016×11.13t × 8780L	PCS	11	26.637	26.637	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.9158 deg.)	null	Ø0×0t × 10344L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	343.734	411.188	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1199.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19503.0	0	0	588.4	588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	1 / 11
P1	8.2o	8.2o	19403.3	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	2 / 11
P2	16.4o	24.6o	18617.9	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	3 / 11
P3	16.4o	41.0o	17111.1	0	0		588.4	19.66	19.66	30.0	0.7+0.54	0.9230	0.9717			1.0	σeq = 150.994	4 / 11
P4	45.0o	86.0o	10431.7	5219.8	30.8		619.2	20.66	20.62	30.0	0.7+0.54	0.8922	0.9717			1.0	σeq = 151.364	5 / 11
P5	4.0o	90.0o	9751.5	5900.0	34.8		623.2	20.88	20.74	30.0	0.7+0.54	0.8882	0.9717			1.0	σeq = 149.379	6 / 11
	49.0o	139.0o	2391.9	13259.6	78.1		666.5	22.07	22.08	30.0	0.7+0.54	0.8449	0.9717			1.0	σeq = 151.187	8 / 11
P6	16.4o	155.4o	885.1	14766.4	87.0		675.4	22.34	22.35	30.0	0.7+0.54	0.8360	0.9717			1.0	σeq = 149.696	9 / 11
P7	16.4o	171.8o	99.7	15551.8	91.7		680.1	22.49	22.50	30.0	0.7+0.54	0.8313	0.9717			1.0	σeq = 150.718	10 / 11
P8	8.2o	180.0o	0	15651.5	92.2		680.6	22.50	22.51	30.0	0.7+0.54	0.8308	0.9717	0.8308	0.9717	1.0	σeq = 150.848	11 / 11

A) Operating : 　　tReq =   P·R   2·S·E － 0.2·P     ＋ CA B) Test : 　　tReq =   P·Rc   2·St·E － 0.2·Pt     ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.8308	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.9717	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1080 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19500.0	0	0	1080.0	1080.0	9.99	14.10	16.49	30.0	0.9230	0.9717	σeq = 337.465	1 / 11
P1	8.2o	8.2o	19400.3	99.7	1.0		1081.0	10.00	14.11	16.50	30.0	0.9230	0.9717	σeq = 338.026	2 / 11
P2	16.4o	24.6o	18615.1	884.9	8.7		1088.7	10.10	14.21	16.60	30.0	0.9230	0.9717	σeq = 323.444	3 / 11
P3	16.4o	41.0o	17108.4	2391.6	23.5		1103.5	10.29	14.41	16.80	30.0	0.9230	0.9717	σeq = 331.621	4 / 11
P4	45.0o	86.0o	10430.1	9069.9	88.9		1168.9	11.15	15.26	17.65	30.0	0.8922	0.9717	σeq = 333.739	5 / 11
P5	4.0o	90.0o	9750.0	9750.0	95.6		1175.6	11.23	15.35	17.74	30.0	0.8882	0.9717	σeq = 332.25	6 / 11
	49.0o	139.0o	2391.6	17108.4	167.8		1247.8	12.18	16.29	18.68	30.0	0.8449	0.9717	σeq = 335.256	8 / 11
P6	16.4o	155.4o	884.9	18615.1	182.6		1262.6	12.37	16.48	18.87	30.0	0.8360	0.9717	σeq = 341.689	9 / 11
P7	16.4o	171.8o	99.7	19400.3	190.3		1270.3	12.47	16.58	18.97	30.0	0.8313	0.9717	σeq = 345.085	10 / 11
P8	8.2o	180.0o	0	19500.0	191.2		1271.2	12.48	16.59	18.99	30.0	0.8308	0.9717	σeq = 345.517	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8308

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0800

11.0129

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9717

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2632

12.8811

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1080 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19503.0	0	0	19500.0	0	0	28.50	30.0	0.9230	0.9717	110.7280	1 / 11
P1	8.2o	8.2o	19403.3	0	0	19400.3	99.7	1.0	28.50	30.0	0.9230	0.9717	110.7280	2 / 11
P2	16.4o	24.6o	18617.9	0	0	18615.1	884.9	8.7	28.50	30.0	0.9230	0.9717	110.7280	3 / 11
P3	16.4o	41.0o	17111.1	0	0	17108.4	2391.6	23.5	28.50	30.0	0.9230	0.9717	110.7280	4 / 11
P4	45.0o	86.0o	10431.7	5219.8	30.8	10430.1	9069.9	88.9	28.50	30.0	0.8922	0.9717	110.7280	5 / 11
P5	4.0o	90.0o	9751.5	5900.0	34.8	9750.0	9750.0	95.6	28.50	30.0	0.8882	0.9717	110.7280	6 / 11
	49.0o	139.0o	2391.9	13259.6	78.1	2391.6	17108.4	167.8	28.50	30.0	0.8449	0.9717	110.7280	8 / 11
P6	16.4o	155.4o	885.1	14766.4	87.0	884.9	18615.1	182.6	28.50	30.0	0.8360	0.9717	110.7280	9 / 11
P7	16.4o	171.8o	99.7	15551.8	91.7	99.7	19400.3	190.3	28.50	30.0	0.8313	0.9717	110.7280	10 / 11
P8	8.2o	180.0o	0	15651.5	92.2	0	19500.0	191.2	28.50	30.0	0.8308	0.9717	110.7280	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.8308

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

1.0800

11.0129

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.9717

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.2632

12.8811

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

110.728

1.1291

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=110.728 kPa)

● Shell Material MATL = SA537-CL2 - Modulus of Elasticity [SEC. II PART 'D' Table TM-1] Ey = 200133  MPa - Minimum Yield Strength [SEC. II PART 'D' Table 1A] Sy = 415.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 373.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 158.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 158.0  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.0   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-4 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 28.5  mm Outside Radius of tank top head Ro = 9780.0  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003643 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4) Factor B = 37.99719  MPa Design External Pressure, 　Pe = 1.03323 (kg/cm²) Pe = 101.3250  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 110.7280  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1080 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	19.66	19.7	14.10	16.49	28.76	30.0	0.7+0.54	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	19.66	19.7	14.11	16.50	28.76	30.0	0.7+0.54									2 / 11
P2	16.4o	24.6o	19.66	19.7	14.21	16.60	28.76	30.0	0.7+0.54									3 / 11
P3	16.4o	41.0o	19.66	19.7	14.41	16.80	28.76	30.0	0.7+0.54	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	20.66	20.6	15.26	17.65	28.76	30.0	0.7+0.54	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	20.88	20.7	15.35	17.74	28.76	30.0	0.7+0.54	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	22.07	22.1	16.29	18.68	28.76	30.0	0.7+0.54									8 / 11
P6	16.4o	155.4o	22.34	22.4	16.48	18.87	28.76	30.0	0.7+0.54	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	22.49	22.5	16.58	18.97	28.76	30.0	0.7+0.54	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	22.50	22.5	16.59	18.99	28.76	30.0	0.7+0.54									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 4. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=1066.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	20.03	20.0	14.21	16.76	29.32	30.5	0.7+0.48	#1	24.6	30.5	2848.0	8544.1	3	5,535	16,605	1 / 11
P1	8.2o	8.2o	20.03	20.0	14.23	16.78	29.32	30.5	0.7+0.48									2 / 11
P2	16.4o	24.6o	20.03	20.0	14.33	16.88	29.32	30.5	0.7+0.48									3 / 11
P3	16.4o	41.0o	20.03	20.0	14.53	17.08	29.32	30.5	0.7+0.48	#2	16.4	30.5	2848.0	9431.7	4	4,982	19,928	4 / 11
P4	45.0o	86.0o	21.13	21.1	15.42	17.97	29.32	30.5	0.7+0.48	#3	45.0	30.5	2834.8	7860.0	22	4,637	102,013	5 / 11
P5	4.0o	90.0o	21.36	21.2	15.51	18.06	29.32	TD90USED	0.7+0.48	#4	53.0	30.5	2841.7	9304.0	22	5,581	122,792	6 / 11
	49.0o	139.0o	22.69	22.7	16.49	19.05	29.32	30.5	0.7+0.48									8 / 11
P6	16.4o	155.4o	22.99	23.0	16.70	19.25	29.32	30.5	0.7+0.48	#5	16.4	30.5	2848.0	9231.7	4	4,982	19,928	9 / 11
P7	16.4o	171.8o	23.15	23.2	16.80	19.35	29.32	30.5	0.7+0.48	#6	24.6	30.5	2848.0	8544.1	3	5,535	16,605	10 / 11
P8	8.2o	180.0o	23.17	23.2	16.81	19.37	29.32	30.5	0.7+0.48									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 28.76 mm; Pe :101.32 kPa ≤ Pa = 101.32 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003485; Factor_B = 36.346 MPa

S-Tank Engineering	Spherical Tank Calculation [6 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19500 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=318.404, Nφ=20.688

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9751.5	mm	975.15	cm
4	L = Design Liquid level	L =	15650	mm	1565.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	22,719,608	N	2316755.3	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 158MPa	S =	158.0	MPa	1611.152	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.601		0.601
10	γ = Liquid Density	γ =	5.893797E-6	N/mm³	601.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.89916	degree	0.41712	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.76863	degree	0.92099	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9966413		0.9966413
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0814764		1.0814764
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4051282		0.4051282
20	C5 = 22 / φ	C5 =	0.9205344		0.9205344
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4051282		0.4051282
22	Calculation Result :
23	PM = P×R/2	PM =	2868.891	N-mm	29.255	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	318.404	N-mm	3.247	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	20.688	N-mm	0.211	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3343.36	N/mm	3409.278	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2610.3	N/mm	2661.765	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	22.51	mm	2.251	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	20.88	mm	2.088	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	139.194	MPa	1419.384	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	946,249,565	N-mm	9649.06×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	360,794,904	N-mm	3679.084×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	475,062,629	N-mm	4844.291×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	171,044,140	N-mm	1744.165×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	208.24	N/mm	212.346	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	552,880,197	N-mm	5637.809×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	288,486,823	N-mm	2941.747×103	Kg-cm
39	Za = IH / LA × t	Za =	62,392,743	mm³	62.393×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,321,838,328	mm³	5321.838×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7429E-5		1.7429E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	5.995425E-3		5.995425E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2004.451	mm	200.445	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	52.176	N/mm	53.205	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	47,239,414	N-mm	481.708×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	23,716,450	N-mm	241.84×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	905,393	mm³	9053.928	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	253,803,952	mm³	253.804×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	280.325	mm	28.033	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	555.77	mm	55.577	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	279.28	N/mm	284.786	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	194.016	N/mm	197.841	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,576,568	N	160765.2	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	43607.489	N	4446.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7901.215	mm	790.122	cm

piDeg=[23.89916138216077] piRad=[0.41711905458418425] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Sd=158 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19503.0	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P1	8.2	19403.3	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P2	24.6	18617.9	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P3	41	17111.1	0	0	0.5884	2868.89							2868.89	2868.89	150.99	< OK	158	19.66	19.66	20.5		4.43	0	0	0	0
P4	86	10431.7	5219.8	0.0308	0.6192	2868.89	279.97	20.02					3148.86	2888.92	151.36	< OK	158	20.66	20.61	21.5	-0.05	4.20	2.997	0.214	0.5	0.036
P5	90	9751.5	5900.0	0.0348	0.6232	2868.89	318.40	20.69	208.24	52.18	279.28	194.02	3343.36	2610.30	149.38	< OK	158	20.88	20.74	22.0	-0.14	5.46	3.409	0.221	0.568	0.037	Column Attached Equator Plate
	139	2391.9	13259.6	0.0781	0.6665	2868.89	345.07	417.01					3213.96	3285.90	151.19	< OK	158	22.07	22.08	23.0	0.01	4.31	3.694	4.464	0.616	0.744
P6	155.4	885.1	14766.4	0.0870	0.6754	2868.89	411.42	437.26					3280.31	3306.15	149.70	< OK	158	22.34	22.35	23.5	0.01	5.26	4.405	4.681	0.734	0.78
P7	171.8	99.7	15551.8	0.0917	0.6801	2868.89	445.47	448.34					3314.36	3317.23	150.72	< OK	158	22.49	22.50	23.5	0.01	4.61	4.769	4.8	0.795	0.8
P8	180	0	15651.5	0.0922	0.6806	2868.89	449.77	449.77					3318.66	3318.66	150.85	< OK	158	22.50	22.51	23.5	0.01	4.53	4.815	4.815	0.803	0.803

S-Tank Engineering	Spherical Tank Calculation [6 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19500 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=776.871, Nφ=155.374

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9750	mm	975.0	cm
4	L = Hydrostatic-test Water Level	L =	19500	mm	1950.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	39,315,021	N	4009016.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 373.5MPa	S =	373.5	MPa	3808.64	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.96345	degree	0.41824	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965228		0.9965228
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0842144		1.0842144
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4061538		0.4061538
20	C5 = 22 / φ	C5 =	0.9180647		0.9180647
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4061538		0.4061538
22	Calculation Result :
23	PM = P×R/2	PM =	2868.45	N-mm	29.25	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	776.871	N-mm	7.922	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	155.374	N-mm	1.584	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3914.37	N/mm	3991.547	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2541.77	N/mm	2591.884	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	10.18	mm	1.018	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	9.34	mm	0.934	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	317.148	MPa	3234.01	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,637,180,509	N-mm	16694.595×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	622,289,485	N-mm	6345.587×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	821,943,074	N-mm	8381.487×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	295,095,114	N-mm	3009.133×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	358.625	N/mm	365.696	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	956,792,497	N-mm	9756.568×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	499,138,647	N-mm	5089.798×103	Kg-cm
39	Za = IH / LA × t	Za =	36,017,275	mm³	36.017×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,360,909,205	mm³	5360.909×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7664E-5		1.7664E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.043657E-3		6.043657E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2009.377	mm	200.938	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	89.573	N/mm	91.339	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	81,722,547	N-mm	833.338×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	41,028,635	N-mm	418.376×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	912,359	mm³	9123.59	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	257,083,028	mm³	257.083×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	281.778	mm	28.178	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	558.626	mm	55.863	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	482.056	N/mm	491.56	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	335.181	N/mm	341.789	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,730,504	N	278433.9	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	75872.611	N	7736.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7920.0	mm	792.0	cm

piDeg=[23.96345330703667] piRad=[0.4182411603557135] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Syt=373.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19500.0	0	0	0.5884	2868.45							2868.45	2868.45	337.46	< OK	373.5	7.68	7.68	8.5		9.65	0	0	0	0
P1	8.2	19400.3	99.7	0.0010	0.5894	2868.45	7.15	2.38					2875.60	2870.83	338.03	< OK	373.5	7.69	7.69	8.5		9.50	0.046	0.015	0.008	0.003
P2	24.6	18615.1	884.9	0.0087	0.5971	2868.45	63.80	20.82					2932.25	2889.27	323.44	< OK	373.5	7.79	7.79	9.0		13.40	0.411	0.134	0.068	0.022
P3	41	17108.4	2391.6	0.0235	0.6119	2868.45	174.17	54.50					3042.62	2922.95	331.62	< OK	373.5	7.99	7.99	9.0		11.21	1.121	0.351	0.187	0.058
P4	86	10430.1	9069.9	0.0889	0.6773	2868.45	713.25	153.96					3581.70	3022.41	333.74	< OK	373.5	8.94	8.84	10.0	-0.10	10.65	4.591	0.991	0.765	0.165
P5	90	9750.0	9750.0	0.0956	0.684	2868.45	776.87	155.37	358.63	89.57	482.06	335.18	3914.37	2541.77	332.25	< OK	373.5	9.34	8.93	10.5	-0.41	11.04	5	1	0.833	0.167	Column Attached Equator Plate
	139	2391.6	17108.4	0.1678	0.7562	2868.45	758.08	877.74					3626.53	3746.19	335.26	< OK	373.5	9.87	9.87	11.0		10.24	4.879	5.649	0.813	0.942
P6	155.4	884.9	18615.1	0.1826	0.771	2868.45	868.45	911.43					3736.90	3779.88	341.69	< OK	373.5	10.06	10.06	11.0		8.52	5.589	5.866	0.932	0.978
P7	171.8	99.7	19400.3	0.1903	0.7787	2868.45	925.09	929.87					3793.54	3798.32	345.08	< OK	373.5	10.16	10.17	11.0	0.01	7.61	5.954	5.985	0.992	0.997
P8	180	0	19500.0	0.1912	0.7796	2868.45	932.24	932.24					3800.69	3800.69	345.52	< OK	373.5	10.18	10.18	11.0		7.49	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 281326.17
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19500
MRA(sWt[tid][20][10])= 1194.591
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12750	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3960	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8790	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19060	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.4208	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1946	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL2	t30 ~ 30	SHT	58	281.326	343.218	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t30, t12×3173×3960	SHT	11	15.521	17.073	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8790L	PCS	11	22.225	22.225	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.4208 deg.)	null	Ø0×0t × 10300L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL2(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL2	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	319.072	382.516	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 6. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2492.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19103.0	0	0	1961.3	1961.3	48.10	48.21	49.0	0.7+0.09	1.9942	2.0573			1.0	σeq = 197.193	1 / 11
P1	8.2o	8.2o	19005.3	0	0		1961.3	48.10	48.21	49.0	0.7+0.09	1.9942	2.0573			1.0	σeq = 197.193	2 / 11
P2	16.4o	24.6o	18236.1	0	0		1961.3	48.10	48.21	49.0	0.7+0.09	1.9942	2.0573			1.0	σeq = 197.193	3 / 11
P3	16.4o	41.0o	16760.1	0	0		1961.3	48.10	48.21	49.0	0.7+0.09	1.9942	2.0573			1.0	σeq = 197.193	4 / 11
P4	45.0o	86.0o	10217.8	1083.7	5.6		1966.9	48.23	48.35	49.5	0.7+0.45	2.0095	2.0783			1.0	σeq = 195.698	5 / 11
P5	4.0o	90.0o	9551.5	1750.0	9.0		1970.3	48.14	48.43	50.5	0.7+0.37	2.0061	2.0783			1.0	σeq = 197.342	6 / 11
	49.0o	139.0o	2342.9	8958.6	46.2		2007.5	49.20	49.32	50.5	0.7+0.48	2.0108	2.1202			1.0	σeq = 195.664	8 / 11
P6	16.4o	155.4o	866.9	10434.6	53.8		2015.1	49.38	49.50	50.5	0.7+0.30	2.0032	2.1202			1.0	σeq = 196.403	9 / 11
P7	16.4o	171.8o	97.7	11203.8	57.8		2019.1	49.47	49.59	50.5	0.7+0.21	1.9992	2.1202			1.0	σeq = 196.789	10 / 11
P8	8.2o	180.0o	0	11301.5	58.3		2019.6	49.49	49.61	50.5	0.7+0.19	1.9987	2.1202	1.9942	2.0573	1.0	σeq = 196.839	11 / 11

Div.2　 tReq = R · [ EXP(  0.5 · P 　  S · E 　 ) － 1 ] ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	1.9613	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.9942	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.0573	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 6. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2492.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19100.0	0	0	2492.8	2492.8	35.78	36.39	37.54	49.0	1.9942	2.0573	σeq = 317.465	1 / 11
P1	8.2o	8.2o	19002.4	97.6	1.0		2493.8	35.80	36.40	37.55	49.0	1.9942	2.0573	σeq = 317.62	2 / 11
P2	16.4o	24.6o	18233.2	866.8	8.5		2501.3	35.91	36.51	37.66	49.0	1.9942	2.0573	σeq = 318.843	3 / 11
P3	16.4o	41.0o	16757.5	2342.5	23.0		2515.8	36.12	36.72	37.88	49.0	1.9942	2.0573	σeq = 315.847	4 / 11
P4	45.0o	86.0o	10216.2	8883.8	87.1		2579.9	37.06	37.66	38.81	49.5	2.0095	2.0783	σeq = 315.879	5 / 11
P5	4.0o	90.0o	9550.0	9550.0	93.7		2586.5	37.15	37.76	38.91	50.5	2.0061	2.0783	σeq = 315.851	6 / 11
	49.0o	139.0o	2342.5	16757.5	164.3		2657.1	38.19	38.79	39.94	50.5	2.0108	2.1202	σeq = 317.2	8 / 11
P6	16.4o	155.4o	866.8	18233.2	178.8		2671.6	38.40	39.00	40.15	50.5	2.0032	2.1202	σeq = 319.346	9 / 11
P7	16.4o	171.8o	97.6	19002.4	186.3		2679.1	38.51	39.11	40.26	50.5	1.9992	2.1202	σeq = 315.539	10 / 11
P8	8.2o	180.0o	0	19100.0	187.3		2680.1	38.52	39.13	40.28	50.5	1.9987	2.1202	σeq = 315.68	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

1.9942

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4928

25.4195

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0573

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.5716

26.2230

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 6. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2492.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19103.0	0	0	19100.0	0	0	47.50	49.0	1.9942	2.0573	367.0605	1 / 11
P1	8.2o	8.2o	19005.3	0	0	19002.4	97.6	1.0	47.50	49.0	1.9942	2.0573	367.0605	2 / 11
P2	16.4o	24.6o	18236.1	0	0	18233.2	866.8	8.5	47.50	49.0	1.9942	2.0573	367.0605	3 / 11
P3	16.4o	41.0o	16760.1	0	0	16757.5	2342.5	23.0	47.50	49.0	1.9942	2.0573	367.0605	4 / 11
P4	45.0o	86.0o	10217.8	1083.7	5.6	10216.2	8883.8	87.1	48.00	49.5	2.0095	2.0783	374.7897	5 / 11
P5	4.0o	90.0o	9551.5	1750.0	9.0	9550.0	9550.0	93.7	48.00	49.5	2.0061	2.0783	374.7897	6 / 11
	49.0o	139.0o	2342.9	8958.6	46.2	2342.5	16757.5	164.3	49.00	50.5	2.0108	2.1202	390.4872	8 / 11
P6	16.4o	155.4o	866.9	10434.6	53.8	866.8	18233.2	178.8	49.00	50.5	2.0032	2.1202	390.4872	9 / 11
P7	16.4o	171.8o	97.7	11203.8	57.8	97.6	19002.4	186.3	49.00	50.5	1.9992	2.1202	390.4872	10 / 11
P8	8.2o	180.0o	0	11301.5	58.3	0	19100.0	187.3	49.00	50.5	1.9987	2.1202	390.4872	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

1.9613

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4517

25.0000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

1.9942

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

2.4928

25.4195

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

2.0573

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

2.5716

26.2230

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL1

Maximum. Allowable External Pressure

MAEP =

367.0605

3.7430

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=367.0605 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 6. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm2(=1961.33 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2492.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	48.10	48.2	36.39	37.54	26.40	49.0	0.7+0.09	#1	24.6	49.0	2733.5	8200.6	3	8,191	24,574	1 / 11
P1	8.2o	8.2o	48.10	48.2	36.40	37.55	26.40	49.0	0.7+0.09									2 / 11
P2	16.4o	24.6o	48.10	48.2	36.51	37.66	26.40	49.0	0.7+0.09									3 / 11
P3	16.4o	41.0o	48.10	48.2	36.72	37.88	26.40	49.0	0.7+0.09	#2	16.4	49.0	2733.5	9060.6	4	7,373	29,493	4 / 11
P4	45.0o	86.0o	48.23	48.4	37.66	38.81	26.40	49.5	0.7+0.45	#3	45.0	49.5	2720.8	7550.0	22	6,933	152,519	5 / 11
P5	4.0o	90.0o	48.14	48.4	37.76	38.91	26.40	50.5	0.7+0.37	#4	53.0	50.5	2727.5	8934.0	22	8,513	187,293	6 / 11
	49.0o	139.0o	49.20	49.3	38.79	39.94	26.40	50.5	0.7+0.48									8 / 11
P6	16.4o	155.4o	49.38	49.5	39.00	40.15	26.40	50.5	0.7+0.30	#5	16.4	50.5	2733.5	8860.6	4	7,599	30,396	9 / 11
P7	16.4o	171.8o	49.47	49.6	39.11	40.26	26.40	50.5	0.7+0.21	#6	24.6	50.5	2733.5	8200.6	3	8,442	25,326	10 / 11
P8	8.2o	180.0o	49.49	49.6	39.13	40.28	26.40	50.5	0.7+0.19									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=1080 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 158 MPa, St = 373.5 MPa, Samb = 158 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	19.66	19.7	14.10	16.49	28.76	30.0	0.7+0.54	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	19.66	19.7	14.11	16.50	28.76	30.0	0.7+0.54									2 / 11
P2	16.4o	24.6o	19.66	19.7	14.21	16.60	28.76	30.0	0.7+0.54									3 / 11
P3	16.4o	41.0o	19.66	19.7	14.41	16.80	28.76	30.0	0.7+0.54	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	20.66	20.6	15.26	17.65	28.76	30.0	0.7+0.54	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	20.88	20.7	15.35	17.74	28.76	TD90USED	0.7+0.54	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	22.07	22.1	16.29	18.68	28.76	30.0	0.7+0.54									8 / 11
P6	16.4o	155.4o	22.34	22.4	16.48	18.87	28.76	30.0	0.7+0.54	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	22.49	22.5	16.58	18.97	28.76	30.0	0.7+0.54	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	22.50	22.5	16.59	18.99	28.76	30.0	0.7+0.54									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 26.4 mm; Pe :101.32 kPa ≤ Pa = 101.34 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.976; Fic=38.976 MPa; Fha=19.488 MPa; FS=2

S-Tank Engineering	Spherical Tank Calculation [7 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19100 (cm), Sd=201 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=85.739, Nφ=0.482

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9551.5	mm	955.15	cm
4	L = Design Liquid level	L =	11300	mm	1130.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	16,422,692	N	1674648.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 201MPa	S =	201.0	MPa	2049.63	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.526		0.526
10	γ = Liquid Density	γ =	5.158298E-6	N/mm³	526.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.97153	degree	0.41838	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	79.44279	degree	1.38654	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965079		0.9965079
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0845584		1.0845584
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4062827		0.4062827
20	C5 = 22 / φ	C5 =	0.9177552		0.9177552
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4062827		0.4062827
22	Calculation Result :
23	PM = P×R/2	PM =	9366.678	N-mm	95.514	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	85.739	N-mm	0.874	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	0.482	N-mm	0.482	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	9566.29	N/mm	9754.901	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9161.68	N/mm	9342.314	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	49.61	mm	4.961	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	48.14	mm	4.814	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	191.301	MPa	1950.727	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	669,960,748	N-mm	6831.698×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	254,550,870	N-mm	2595.696×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	336,352,402	N-mm	3429.84×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	120,714,483	N-mm	1230.945×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	152.823	N/mm	155.836	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	391,545,881	N-mm	3992.657×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	204,255,912	N-mm	2082.831×103	Kg-cm
39	Za = IH / LA × t	Za =	129,385,033	mm³	129.385×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,045,022,834	mm³	5045.023×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7694E-5		1.7694E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.049737E-3		6.049737E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1969.112	mm	196.911	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	38.947	N/mm	39.715	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	34,135,996	N-mm	348.09×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	17,137,906	N-mm	174.758×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	876,464	mm³	8764.642	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	242,102,401	mm³	242.102×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	276.226	mm	27.623	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	547.615	mm	54.762	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	205.48	N/mm	209.531	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	141.862	N/mm	144.659	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,133,396	N	115574.3	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	32373.709	N	3301.2	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7761.219	mm	776.122	cm

piDeg=[23.971534139659223] piRad=[0.4183821974912797] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Sd=201 MPa, Pg=1.9613 (kg/cm²), HT_UPPCOL = 38800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19103.0	0	0	1.9613	9366.68							9366.68	9366.68	197.19	< OK	201	48.10	48.21	49.0	0.11	1.89	0	0	0	0
P1	8.2	19005.3	0	0	1.9613	9366.68							9366.68	9366.68	197.19	< OK	201	48.10	48.21	49.0	0.11	1.89	0	0	0	0
P2	24.6	18236.1	0	0	1.9613	9366.68							9366.68	9366.68	197.19	< OK	201	48.10	48.21	49.0	0.11	1.89	0	0	0	0
P3	41	16760.1	0	0	1.9613	9366.68							9366.68	9366.68	197.19	< OK	201	48.10	48.21	49.0	0.11	1.89	0	0	0	0
P4	86	10217.8	1083.7	0.0056	1.9669	9366.68	53.07	0.33					9419.75	9367.01	195.70	< OK	201	48.23	48.35	49.5	0.12	2.64	0.677	0.004	0.113	0.001
P5	90	9551.5	1750.0	0.0090	1.9703	9366.68	85.74	0.48	152.82	38.95	205.48	141.86	9566.29	9161.68	197.34	< OK	201	48.14	48.43	49.0	0.29	1.82	1.093	0.006	0.182	0.001	Column Attached Equator Plate
	139	2342.9	8958.6	0.0462	2.0075	9366.68	190.49	250.90					9557.17	9617.57	195.66	< OK	201	49.20	49.32	50.5	0.12	2.65	2.429	3.199	0.405	0.533
P6	155.4	866.9	10434.6	0.0538	2.0151	9366.68	246.21	267.90					9612.88	9634.58	196.40	< OK	201	49.38	49.50	50.5	0.12	2.29	3.139	3.416	0.523	0.569
P7	171.8	97.7	11203.8	0.0578	2.0191	9366.68	274.80	277.21					9641.48	9643.89	196.79	< OK	201	49.47	49.59	50.5	0.12	2.10	3.504	3.534	0.584	0.589
P8	180	0	11301.5	0.0583	2.0196	9366.68	278.41	278.41					9645.09	9645.09	196.84	< OK	201	49.49	49.61	50.5	0.12	2.07	3.55	3.55	0.592	0.592

S-Tank Engineering	Spherical Tank Calculation [7 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19100 (cm), Syt=327.75 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=745.326, Nφ=149.065

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19100	mm	1910.0	cm
3	R = Inside Radius in Corroded Condition	R =	9550	mm	955.0	cm
4	L = Hydrostatic-test Water Level	L =	19100	mm	1910.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	39,263,284	N	4003740.7	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 327.75MPa	S =	327.75	MPa	3342.12	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.961	MPa	20.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.10292	degree	0.42068	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9962647		0.9962647
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0901489		1.0901489
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4083770		0.4083770
20	C5 = 22 / φ	C5 =	0.9127525		0.9127525
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4083770		0.4083770
22	Calculation Result :
23	PM = P×R/2	PM =	9365.208	N-mm	95.499	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	745.326	N-mm	7.6	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	149.065	N-mm	1.52	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	10380.71	N/mm	10585.378	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9025.61	N/mm	9203.561	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	31.35	mm	3.135	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	29.87	mm	2.987	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	301.273	MPa	3072.13	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,601,487,022	N-mm	16330.623×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	604,612,928	N-mm	6165.336×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	804,023,234	N-mm	8198.755×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	286,885,043	N-mm	2925.413×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	361.771	N/mm	368.904	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	936,386,811	N-mm	9548.488×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	488,272,522	N-mm	4978.994×103	Kg-cm
39	Za = IH / LA × t	Za =	102,239,395	mm³	102.239×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,123,036,038	mm³	5123.036×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8183E-5		1.8183E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.149165E-3		6.149165E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1979.275	mm	197.928	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	91.594	N/mm	93.4	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	81,565,765	N-mm	831.739×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	40,949,923	N-mm	417.573×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	890,515	mm³	8905.154	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	248,624,515	mm³	248.625×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	279.192	mm	27.919	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	553.441	mm	55.344	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	488.659	N/mm	498.294	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	338.005	N/mm	344.669	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,714,687	N	276821.0	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	78249.348	N	7979.2	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7800.0	mm	780.0	cm

piDeg=[24.10291888089687] piRad=[0.4206752938127573] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19100 (cm), Syt=327.75 MPa, MAWP=2.451625 (kg/cm²), HT_UPPCOL = 39000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19100.0	0	0	1.9613	9365.21							9365.21	9365.21	317.46	< OK	327.75	28.57	28.62	29.5	0.05	3.14	0	0	0	0
P1	8.2	19002.4	97.6	0.0010	1.9623	9365.21	6.86	2.28					9372.07	9367.49	317.62	< OK	327.75	28.59	28.63	29.5	0.04	3.09	0.046	0.015	0.008	0.003
P2	24.6	18233.2	866.8	0.0085	1.9698	9365.21	61.21	19.97					9426.41	9385.18	318.84	< OK	327.75	28.70	28.74	29.5	0.04	2.72	0.411	0.134	0.068	0.022
P3	41	16757.5	2342.5	0.0230	1.9843	9365.21	167.09	52.29					9532.30	9417.50	315.85	< OK	327.75	28.91	28.95	30.0	0.04	3.63	1.121	0.351	0.187	0.058
P4	86	10216.2	8883.8	0.0871	2.0484	9365.21	684.29	147.71					10049.50	9512.92	315.88	< OK	327.75	29.88	29.89	31.0	0.01	3.62	4.591	0.991	0.765	0.165
P5	90	9550.0	9550.0	0.0937	2.055	9365.21	745.33	149.07	361.77	91.59	488.66	338.00	10380.71	9025.61	315.85	< OK	327.75	29.87	29.99	31.0	0.12	3.63	5	1	0.833	0.167	Column Attached Equator Plate
	139	2342.5	16757.5	0.1643	2.1256	9365.21	727.30	842.10					10092.50	10207.31	317.20	< OK	327.75	30.97	31.02	32.0	0.05	3.22	4.879	5.649	0.813	0.942
P6	155.4	866.8	18233.2	0.1788	2.1401	9365.21	833.19	874.42					10198.39	10239.63	319.35	< OK	327.75	31.18	31.23	32.0	0.05	2.56	5.589	5.866	0.932	0.978
P7	171.8	97.6	19002.4	0.1863	2.1476	9365.21	887.53	892.11					10252.74	10257.32	315.54	< OK	327.75	31.29	31.34	32.5	0.05	3.73	5.954	5.985	0.992	0.997
P8	180	0	19100.0	0.1873	2.1486	9365.21	894.39	894.39					10259.60	10259.60	315.68	< OK	327.75	31.30	31.35	32.5	0.05	3.68	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 449600.851
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19100
MRA(sWt[tid][20][10])= 1146.086
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12550	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3900	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8650	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	18680	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.3168	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.0377	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL1	t49 ~ 50.5	SHT	58	449.601	548.513	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t50.5, t12×3173×3900	SHT	11	16.799	18.479	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8650L	PCS	11	21.871	21.871	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.3168 deg.)	null	Ø0×0t × 10125L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL1(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	488.271	588.863	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [8 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 7. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1048.1 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19503.0	0	0	588.4	588.4	22.29	22.30	30.0	0.7+0.40	0.8062	0.8487			1.0	σeq = 130.404	1 / 11
P1	8.2o	8.2o	19403.3	0	0		588.4	22.29	22.30	30.0	0.7+0.40	0.8062	0.8487			1.0	σeq = 130.404	2 / 11
P2	16.4o	24.6o	18617.9	0	0		588.4	22.29	22.30	30.0	0.7+0.40	0.8062	0.8487			1.0	σeq = 130.404	3 / 11
P3	16.4o	41.0o	17111.1	0	0		588.4	22.29	22.30	30.0	0.7+0.40	0.8062	0.8487			1.0	σeq = 130.404	4 / 11
P4	45.0o	86.0o	10431.7	5369.8	33.6		622.0	23.55	23.49	30.0	0.7+0.40	0.7726	0.8487			1.0	σeq = 132.295	5 / 11
P5	4.0o	90.0o	9751.5	6050.0	37.9		626.3	23.87	23.64	30.0	0.7+0.40	0.7683	0.8487			1.0	σeq = 131.335	6 / 11
	49.0o	139.0o	2391.9	13409.6	84.0		672.4	25.26	25.27	30.0	0.7+0.40	0.7222	0.8487			1.0	σeq = 131.171	8 / 11
P6	16.4o	155.4o	885.1	14916.4	93.5		681.9	25.59	25.60	30.0	0.7+0.40	0.7127	0.8487			1.0	σeq = 132.989	9 / 11
P7	16.4o	171.8o	99.7	15701.8	98.4		686.8	25.77	25.78	30.0	0.7+0.40	0.7078	0.8487			1.0	σeq = 131.319	10 / 11
P8	8.2o	180.0o	0	15801.5	99.0		687.4	25.79	25.80	30.0	0.7+0.40	0.7072	0.8487	0.7072	0.8487	1.0	σeq = 131.438	11 / 11

A) Operating : 　　tReq =   P·R   2·S·E － 0.2·P     ＋ CA B) Test : 　　tReq =   P·Rc   2·St·E － 0.2·Pt     ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.7072	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.8487	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [8 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 7. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=919.4 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19500.0	0	0	919.4	919.4	12.01	14.44	17.33	30.0	0.8062	0.8487	σeq = 286.845	1 / 11
P1	8.2o	8.2o	19400.3	99.7	1.0		920.4	12.03	14.45	17.34	30.0	0.8062	0.8487	σeq = 273.64	2 / 11
P2	16.4o	24.6o	18615.1	884.9	8.7		928.1	12.15	14.57	17.46	30.0	0.8062	0.8487	σeq = 277.238	3 / 11
P3	16.4o	41.0o	17108.4	2391.6	23.5		942.9	12.38	14.81	17.69	30.0	0.8062	0.8487	σeq = 284.246	4 / 11
P4	45.0o	86.0o	10430.1	9069.9	88.9		1008.3	13.41	15.83	18.72	30.0	0.7726	0.8487	σeq = 290.208	5 / 11
P5	4.0o	90.0o	9750.0	9750.0	95.6		1015.0	13.51	15.94	18.83	30.0	0.7683	0.8487	σeq = 290.826	6 / 11
	49.0o	139.0o	2391.6	17108.4	167.8		1087.2	14.65	17.07	19.96	30.0	0.7222	0.8487	σeq = 283.678	8 / 11
P6	16.4o	155.4o	884.9	18615.1	182.6		1102.0	14.88	17.31	20.19	30.0	0.7127	0.8487	σeq = 289.121	9 / 11
P7	16.4o	171.8o	99.7	19400.3	190.3		1109.7	15.00	17.43	20.31	30.0	0.7078	0.8487	σeq = 291.995	10 / 11
P8	8.2o	180.0o	0	19500.0	191.2		1110.6	15.01	17.44	20.33	30.0	0.7072	0.8487	σeq = 292.361	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.7072

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.9194

9.3753

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.8487

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.1033

11.2505

S-Tank Engineering	AAA Spherical Tank Calculation [8 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 7. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=919.4 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19503.0	0	0	19500.0	0	0	28.50	30.0	0.8062	0.8487	109.6373	1 / 11
P1	8.2o	8.2o	19403.3	0	0	19400.3	99.7	1.0	28.50	30.0	0.8062	0.8487	109.6373	2 / 11
P2	16.4o	24.6o	18617.9	0	0	18615.1	884.9	8.7	28.50	30.0	0.8062	0.8487	109.6373	3 / 11
P3	16.4o	41.0o	17111.1	0	0	17108.4	2391.6	23.5	28.50	30.0	0.8062	0.8487	109.6373	4 / 11
P4	45.0o	86.0o	10431.7	5369.8	33.6	10430.1	9069.9	88.9	28.50	30.0	0.7726	0.8487	109.6373	5 / 11
P5	4.0o	90.0o	9751.5	6050.0	37.9	9750.0	9750.0	95.6	28.50	30.0	0.7683	0.8487	109.6373	6 / 11
	49.0o	139.0o	2391.9	13409.6	84.0	2391.6	17108.4	167.8	28.50	30.0	0.7222	0.8487	109.6373	8 / 11
P6	16.4o	155.4o	885.1	14916.4	93.5	884.9	18615.1	182.6	28.50	30.0	0.7127	0.8487	109.6373	9 / 11
P7	16.4o	171.8o	99.7	15701.8	98.4	99.7	19400.3	190.3	28.50	30.0	0.7078	0.8487	109.6373	10 / 11
P8	8.2o	180.0o	0	15801.5	99.0	0	19500.0	191.2	28.50	30.0	0.7072	0.8487	109.6373	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.7072

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.9194

9.3753

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.8487

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.1033

11.2505

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL1

Maximum. Allowable External Pressure

MAEP =

109.6373

1.1180

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=109.6373 kPa)

● Shell Material MATL = SA537-CL1 - Modulus of Elasticity [SEC. II PART 'D' Table TM-1] Ey = 200133  MPa - Minimum Yield Strength [SEC. II PART 'D' Table 1A] Sy = 345.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 310.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 138.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 138.0  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.0   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-4 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 28.5  mm Outside Radius of tank top head Ro = 9780.0  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003643 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4) Factor B = 37.62290  MPa Design External Pressure, 　Pe = 1.03323 (kg/cm²) Pe = 101.3250  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 109.6373  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [8 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 7. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=919.4 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	22.29	22.3	14.44	17.33	28.90	30.0	0.7+0.40	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	22.29	22.3	14.45	17.34	28.90	30.0	0.7+0.40									2 / 11
P2	16.4o	24.6o	22.29	22.3	14.57	17.46	28.90	30.0	0.7+0.40									3 / 11
P3	16.4o	41.0o	22.29	22.3	14.81	17.69	28.90	30.0	0.7+0.40	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	23.55	23.5	15.83	18.72	28.90	30.0	0.7+0.40	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	23.87	23.6	15.94	18.83	28.90	30.0	0.7+0.40	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	25.26	25.3	17.07	19.96	28.90	30.0	0.7+0.40									8 / 11
P6	16.4o	155.4o	25.59	25.6	17.31	20.19	28.90	30.0	0.7+0.40	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	25.77	25.8	17.43	20.31	28.90	30.0	0.7+0.40	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	25.79	25.8	17.44	20.33	28.90	30.0	0.7+0.40									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 6. 10-TK-7320				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19100 mm, CA = 1.5 mm, SG = 0.526, Pg= 20 kg/cm²(=1961.33 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2492.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	48.10	48.2	36.39	37.54	26.40	49.0	0.7+0.09	#1	24.6	49.0	2733.5	8200.6	3	8,191	24,574	1 / 11
P1	8.2o	8.2o	48.10	48.2	36.40	37.55	26.40	49.0	0.7+0.09									2 / 11
P2	16.4o	24.6o	48.10	48.2	36.51	37.66	26.40	49.0	0.7+0.09									3 / 11
P3	16.4o	41.0o	48.10	48.2	36.72	37.88	26.40	49.0	0.7+0.09	#2	16.4	49.0	2733.5	9060.6	4	7,373	29,493	4 / 11
P4	45.0o	86.0o	48.23	48.4	37.66	38.81	26.40	49.5	0.7+0.45	#3	45.0	49.5	2720.8	7550.0	22	6,933	152,519	5 / 11
P5	4.0o	90.0o	48.14	48.4	37.76	38.91	26.40	TD90USED	0.7+0.37	#4	53.0	50.5	2727.5	8934.0	22	8,513	187,293	6 / 11
	49.0o	139.0o	49.20	49.3	38.79	39.94	26.40	50.5	0.7+0.48									8 / 11
P6	16.4o	155.4o	49.38	49.5	39.00	40.15	26.40	50.5	0.7+0.30	#5	16.4	50.5	2733.5	8860.6	4	7,599	30,396	9 / 11
P7	16.4o	171.8o	49.47	49.6	39.11	40.26	26.40	50.5	0.7+0.21	#6	24.6	50.5	2733.5	8200.6	3	8,442	25,326	10 / 11
P8	8.2o	180.0o	49.49	49.6	39.13	40.28	26.40	50.5	0.7+0.19									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 28.9 mm; Pe :101.32 kPa ≤ Pa = 101.35 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003502; Factor_B = 36.173 MPa

S-Tank Engineering	Spherical Tank Calculation [8 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19500 (cm), Sd=138 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=345.982, Nφ=23.717

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9751.5	mm	975.15	cm
4	L = Design Liquid level	L =	15800	mm	1580.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	24,516,633	N	2500000.8	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 138MPa	S =	138.0	MPa	1407.208	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.639		0.639
10	γ = Liquid Density	γ =	6.266449E-6	N/mm³	639.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.89916	degree	0.41712	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	51.65338	degree	0.90152	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9966413		0.9966413
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0814764		1.0814764
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4051282		0.4051282
20	C5 = 22 / φ	C5 =	0.9205344		0.9205344
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4051282		0.4051282
22	Calculation Result :
23	PM = P×R/2	PM =	2868.891	N-mm	29.255	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	345.982	N-mm	3.528	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	23.717	N-mm	0.242	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3383.28	N/mm	3449.985	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2591.24	N/mm	2642.329	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	25.8	mm	2.58	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	23.87	mm	2.387	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	121.034	MPa	1234.203	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,021,093,910	N-mm	10412.26×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	389,332,257	N-mm	3970.084×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	512,638,077	N-mm	5227.454×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	184,573,009	N-mm	1882.121×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	224.711	N/mm	229.141	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	596,610,686	N-mm	6083.736×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	311,304,913	N-mm	3174.427×103	Kg-cm
39	Za = IH / LA × t	Za =	71,685,280	mm³	71.685×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,321,838,328	mm³	5321.838×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7429E-5		1.7429E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	5.995425E-3		5.995425E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2004.451	mm	200.445	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	56.302	N/mm	57.412	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	50,975,852	N-mm	519.809×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	25,592,321	N-mm	260.969×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	905,393	mm³	9053.928	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	253,803,952	mm³	253.804×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	280.325	mm	28.033	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	555.77	mm	55.577	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	301.37	N/mm	307.312	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	209.362	N/mm	213.49	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,701,268	N	173481.0	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	47056.657	N	4798.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7901.215	mm	790.122	cm

piDeg=[23.89916138216077] piRad=[0.41711905458418425] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Sd=138 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19503.0	0	0	0.5884	2868.89							2868.89	2868.89	130.40	< OK	138	22.29	22.30	23.5	0.01	5.50	0	0	0	0
P1	8.2	19403.3	0	0	0.5884	2868.89							2868.89	2868.89	130.40	< OK	138	22.29	22.30	23.5	0.01	5.50	0	0	0	0
P2	24.6	18617.9	0	0	0.5884	2868.89							2868.89	2868.89	130.40	< OK	138	22.29	22.30	23.5	0.01	5.50	0	0	0	0
P3	41	17111.1	0	0	0.5884	2868.89							2868.89	2868.89	130.40	< OK	138	22.29	22.30	23.5	0.01	5.50	0	0	0	0
P4	86	10431.7	5369.8	0.0336	0.622	2868.89	305.13	23.00					3174.03	2891.89	132.30	< OK	138	23.55	23.49	24.5	-0.06	4.13	3.072	0.232	0.512	0.039
P5	90	9751.5	6050.0	0.0379	0.6263	2868.89	345.98	23.72	224.71	56.30	301.37	209.36	3383.28	2591.24	131.34	< OK	138	23.87	23.64	25.0	-0.23	4.83	3.484	0.239	0.581	0.04	Column Attached Equator Plate
	139	2391.9	13409.6	0.0840	0.6724	2868.89	371.47	447.95					3240.36	3316.85	131.17	< OK	138	25.26	25.27	26.5	0.01	4.95	3.74	4.51	0.623	0.752
P6	155.4	885.1	14916.4	0.0935	0.6819	2868.89	442.02	469.49					3310.91	3338.38	132.99	< OK	138	25.59	25.60	26.5	0.01	3.63	4.451	4.727	0.742	0.788
P7	171.8	99.7	15701.8	0.0984	0.6868	2868.89	478.22	481.27					3347.11	3350.16	131.32	< OK	138	25.77	25.78	27.0	0.01	4.84	4.815	4.846	0.803	0.808
P8	180	0	15801.5	0.0990	0.6874	2868.89	482.79	482.79					3351.68	3351.68	131.44	< OK	138	25.79	25.80	27.0	0.01	4.76	4.861	4.861	0.81	0.81

S-Tank Engineering	Spherical Tank Calculation [8 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19500 (cm), Syt=310.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=776.871, Nφ=155.374

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9750	mm	975.0	cm
4	L = Hydrostatic-test Water Level	L =	19500	mm	1950.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	39,544,929	N	4032460.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 310.5MPa	S =	310.5	MPa	3166.219	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.96345	degree	0.41824	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965228		0.9965228
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0842144		1.0842144
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4061538		0.4061538
20	C5 = 22 / φ	C5 =	0.9180647		0.9180647
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4061538		0.4061538
22	Calculation Result :
23	PM = P×R/2	PM =	2868.45	N-mm	29.25	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	776.871	N-mm	7.922	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	155.374	N-mm	1.584	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3915.95	N/mm	3993.158	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2538.95	N/mm	2589.008	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	12.24	mm	1.224	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	11.24	mm	1.124	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	268.455	MPa	2737.479	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,646,754,443	N-mm	16792.222×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	625,928,521	N-mm	6382.695×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	826,749,648	N-mm	8430.5×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	296,820,777	N-mm	3026.73×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	360.722	N/mm	367.834	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	962,387,645	N-mm	9813.623×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	502,057,519	N-mm	5119.562×103	Kg-cm
39	Za = IH / LA × t	Za =	42,687,141	mm³	42.687×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,360,909,205	mm³	5360.909×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7664E-5		1.7664E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.043657E-3		6.043657E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2009.377	mm	200.938	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	90.097	N/mm	91.873	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	82,200,445	N-mm	838.211×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	41,268,563	N-mm	420.822×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	912,359	mm³	9123.59	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	257,083,028	mm³	257.083×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	281.778	mm	28.178	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	558.626	mm	55.863	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	484.875	N/mm	494.435	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	337.141	N/mm	343.788	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,746,471	N	280062.1	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	76316.3	N	7782.1	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7920.0	mm	792.0	cm

piDeg=[23.96345330703667] piRad=[0.4182411603557135] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Syt=310.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19500.0	0	0	0.5884	2868.45							2868.45	2868.45	286.84	< OK	310.5	9.24	9.24	10.0		7.62	0	0	0	0
P1	8.2	19400.3	99.7	0.0010	0.5894	2868.45	7.15	2.38					2875.60	2870.83	273.64	< OK	310.5	9.25	9.26	10.5	0.01	11.87	0.046	0.015	0.008	0.003
P2	24.6	18615.1	884.9	0.0087	0.5971	2868.45	63.80	20.82					2932.25	2889.27	277.24	< OK	310.5	9.38	9.38	10.5		10.71	0.411	0.134	0.068	0.022
P3	41	17108.4	2391.6	0.0235	0.6119	2868.45	174.17	54.50					3042.62	2922.95	284.25	< OK	310.5	9.61	9.61	10.5		8.46	1.121	0.351	0.187	0.058
P4	86	10430.1	9069.9	0.0889	0.6773	2868.45	713.25	153.96					3581.70	3022.41	290.21	< OK	310.5	10.75	10.64	11.5	-0.11	6.54	4.591	0.991	0.765	0.165
P5	90	9750.0	9750.0	0.0956	0.684	2868.45	776.87	155.37	360.72	90.10	484.87	337.14	3915.95	2538.95	290.83	< OK	310.5	11.24	10.74	12.0	-0.50	6.34	5	1	0.833	0.167	Column Attached Equator Plate
	139	2391.6	17108.4	0.1678	0.7562	2868.45	758.08	877.74					3626.53	3746.19	283.68	< OK	310.5	11.88	11.88	13.0		8.64	4.879	5.649	0.813	0.942
P6	155.4	884.9	18615.1	0.1826	0.771	2868.45	868.45	911.43					3736.90	3779.88	289.12	< OK	310.5	12.10	12.11	13.0	0.01	6.89	5.589	5.866	0.932	0.978
P7	171.8	99.7	19400.3	0.1903	0.7787	2868.45	925.09	929.87					3793.54	3798.32	292.00	< OK	310.5	12.23	12.23	13.0		5.96	5.954	5.985	0.992	0.997
P8	180	0	19500.0	0.1912	0.7796	2868.45	932.24	932.24					3800.69	3800.69	292.36	< OK	310.5	12.24	12.24	13.0		5.84	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 281326.17
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19500
MRA(sWt[tid][20][10])= 1194.591
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12750	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3960	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8790	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19060	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.4208	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1946	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL1	t30 ~ 30	SHT	58	281.326	343.218	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t30, t12×3173×3960	SHT	11	15.521	17.073	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8790L	PCS	11	22.225	22.225	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.4208 deg.)	null	Ø0×0t × 10300L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL1(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	319.072	382.516	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 8. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1044.9 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19903.0	0	0	588.4	588.4	22.72	22.72	30.5	0.7+0.34	0.8038	0.8455			1.0	σeq = 133.079	1 / 11
P1	8.2o	8.2o	19801.3	0	0		588.4	22.72	22.72	30.5	0.7+0.34	0.8038	0.8455			1.0	σeq = 133.079	2 / 11
P2	16.4o	24.6o	18999.8	0	0		588.4	22.72	22.72	30.5	0.7+0.34	0.8038	0.8455			1.0	σeq = 133.079	3 / 11
P3	16.4o	41.0o	17462.0	0	0		588.4	22.72	22.72	30.5	0.7+0.34	0.8038	0.8455			1.0	σeq = 133.079	4 / 11
P4	45.0o	86.0o	10645.7	5255.8	32.9		621.3	23.97	23.91	30.5	0.7+0.34	0.7709	0.8455			1.0	σeq = 131.976	5 / 11
P5	4.0o	90.0o	9951.5	5950.0	37.3		625.7	24.25	24.07	30.5	0.7+0.34	0.7665	0.8455			1.0	σeq = 130.797	6 / 11
	49.0o	139.0o	2441.0	13460.5	84.3		672.7	25.76	25.77	30.5	0.7+0.34	0.7195	0.8455			1.0	σeq = 131.3	8 / 11
P6	16.4o	155.4o	903.2	14998.3	94.0		682.4	26.10	26.12	30.5	0.7+0.34	0.7098	0.8455			1.0	σeq = 133.156	9 / 11
P7	16.4o	171.8o	101.7	15799.8	99.0		687.4	26.29	26.30	30.5	0.7+0.34	0.7048	0.8455			1.0	σeq = 131.553	10 / 11
P8	8.2o	180.0o	0	15901.5	99.6		688.0	26.31	26.32	30.5	0.7+0.34	0.7042	0.8455	0.7042	0.8455	1.0	σeq = 131.675	11 / 11

A) Operating : 　　tReq =   P·R   2·S·E － 0.2·P     ＋ CA B) Test : 　　tReq =   P·Rc   2·St·E － 0.2·Pt     ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.7042	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.8455	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 8. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=915.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19900.0	0	0	915.5	915.5	12.26	14.67	17.62	30.5	0.8038	0.8455	σeq = 278.79	1 / 11
P1	8.2o	8.2o	19798.3	101.7	1.0		916.5	12.27	14.69	17.63	30.5	0.8038	0.8455	σeq = 279.263	2 / 11
P2	16.4o	24.6o	18996.9	903.1	8.9		924.4	12.40	14.81	17.76	30.5	0.8038	0.8455	σeq = 283.01	3 / 11
P3	16.4o	41.0o	17459.4	2440.6	23.9		939.4	12.64	15.05	18.00	30.5	0.8038	0.8455	σeq = 277.116	4 / 11
P4	45.0o	86.0o	10644.1	9255.9	90.8		1006.3	13.71	16.13	19.07	30.5	0.7709	0.8455	σeq = 284.693	5 / 11
P5	4.0o	90.0o	9950.0	9950.0	97.6		1013.1	13.82	16.24	19.18	30.5	0.7665	0.8455	σeq = 284.887	6 / 11
	49.0o	139.0o	2440.6	17459.4	171.2		1086.7	15.00	17.42	20.36	30.5	0.7195	0.8455	σeq = 290.819	8 / 11
P6	16.4o	155.4o	903.1	18996.9	186.3		1101.8	15.24	17.66	20.60	30.5	0.7098	0.8455	σeq = 285.504	9 / 11
P7	16.4o	171.8o	101.7	19798.3	194.2		1109.7	15.37	17.78	20.73	30.5	0.7048	0.8455	σeq = 288.386	10 / 11
P8	8.2o	180.0o	0	19900.0	195.2		1110.7	15.39	17.80	20.74	30.5	0.7042	0.8455	σeq = 288.753	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.7042

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.9155

9.3355

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.8455

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.0992

11.2087

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 8. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=915.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19903.0	0	0	19900.0	0	0	29.00	30.5	0.8038	0.8455	109.0023	1 / 11
P1	8.2o	8.2o	19801.3	0	0	19798.3	101.7	1.0	29.00	30.5	0.8038	0.8455	109.0023	2 / 11
P2	16.4o	24.6o	18999.8	0	0	18996.9	903.1	8.9	29.00	30.5	0.8038	0.8455	109.0023	3 / 11
P3	16.4o	41.0o	17462.0	0	0	17459.4	2440.6	23.9	29.00	30.5	0.8038	0.8455	109.0023	4 / 11
P4	45.0o	86.0o	10645.7	5255.8	32.9	10644.1	9255.9	90.8	29.00	30.5	0.7709	0.8455	109.0023	5 / 11
P5	4.0o	90.0o	9951.5	5950.0	37.3	9950.0	9950.0	97.6	29.00	30.5	0.7665	0.8455	109.0023	6 / 11
	49.0o	139.0o	2441.0	13460.5	84.3	2440.6	17459.4	171.2	29.00	30.5	0.7195	0.8455	109.0023	8 / 11
P6	16.4o	155.4o	903.2	14998.3	94.0	903.1	18996.9	186.3	29.00	30.5	0.7098	0.8455	109.0023	9 / 11
P7	16.4o	171.8o	101.7	15799.8	99.0	101.7	19798.3	194.2	29.00	30.5	0.7048	0.8455	109.0023	10 / 11
P8	8.2o	180.0o	0	15901.5	99.6	0	19900.0	195.2	29.00	30.5	0.7042	0.8455	109.0023	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.7649

7.8000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.7042

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MWAP×LSR

Pset(MAWP) =

0.9155

9.3355

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

0.8455

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.3×MAP×LSR

Pset(MAP) =

1.0992

11.2087

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL1

Maximum. Allowable External Pressure

MAEP =

109.0023

1.1115

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=109.0023 kPa)

● Shell Material MATL = SA537-CL1 - Modulus of Elasticity [SEC. II PART 'D' Table TM-1] Ey = 200133  MPa - Minimum Yield Strength [SEC. II PART 'D' Table 1A] Sy = 345.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 310.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 138.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 138.0  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.0   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-4 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 29.0  mm Outside Radius of tank top head Ro = 9980.5  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003632 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4) Factor B = 37.51371  MPa Design External Pressure, 　Pe = 1.03323 (kg/cm²) Pe = 101.3250  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 109.0023  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 8. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=915.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	22.72	22.7	14.67	17.62	29.46	30.5	0.7+0.34	#1	24.6	30.5	2848.0	8544.1	3	5,535	16,605	1 / 11
P1	8.2o	8.2o	22.72	22.7	14.69	17.63	29.46	30.5	0.7+0.34									2 / 11
P2	16.4o	24.6o	22.72	22.7	14.81	17.76	29.46	30.5	0.7+0.34									3 / 11
P3	16.4o	41.0o	22.72	22.7	15.05	18.00	29.46	30.5	0.7+0.34	#2	16.4	30.5	2848.0	9431.7	4	4,982	19,928	4 / 11
P4	45.0o	86.0o	23.97	23.9	16.13	19.07	29.46	30.5	0.7+0.34	#3	45.0	30.5	2834.8	7860.0	22	4,637	102,013	5 / 11
P5	4.0o	90.0o	24.25	24.1	16.24	19.18	29.46	30.5	0.7+0.34	#4	53.0	30.5	2841.7	9304.0	22	5,581	122,792	6 / 11
	49.0o	139.0o	25.76	25.8	17.42	20.36	29.46	30.5	0.7+0.34									8 / 11
P6	16.4o	155.4o	26.10	26.1	17.66	20.60	29.46	30.5	0.7+0.34	#5	16.4	30.5	2848.0	9231.7	4	4,982	19,928	9 / 11
P7	16.4o	171.8o	26.29	26.3	17.78	20.73	29.46	30.5	0.7+0.34	#6	24.6	30.5	2848.0	8544.1	3	5,535	16,605	10 / 11
P8	8.2o	180.0o	26.31	26.3	17.80	20.74	29.46	30.5	0.7+0.34									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [8 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 7. 10-TK-7400ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19500 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=919.4 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	22.29	22.3	14.44	17.33	28.90	30.0	0.7+0.40	#1	24.6	30.0	2790.8	8372.3	3	5,227	15,682	1 / 11
P1	8.2o	8.2o	22.29	22.3	14.45	17.34	28.90	30.0	0.7+0.40									2 / 11
P2	16.4o	24.6o	22.29	22.3	14.57	17.46	28.90	30.0	0.7+0.40									3 / 11
P3	16.4o	41.0o	22.29	22.3	14.81	17.69	28.90	30.0	0.7+0.40	#2	16.4	30.0	2790.8	9246.1	4	4,705	18,821	4 / 11
P4	45.0o	86.0o	23.55	23.5	15.83	18.72	28.90	30.0	0.7+0.40	#3	45.0	30.0	2777.8	7700.0	22	4,379	96,348	5 / 11
P5	4.0o	90.0o	23.87	23.6	15.94	18.83	28.90	TD90USED	0.7+0.40	#4	53.0	30.0	2784.6	9119.0	22	5,271	115,972	6 / 11
	49.0o	139.0o	25.26	25.3	17.07	19.96	28.90	30.0	0.7+0.40									8 / 11
P6	16.4o	155.4o	25.59	25.6	17.31	20.19	28.90	30.0	0.7+0.40	#5	16.4	30.0	2790.8	9046.1	4	4,705	18,821	9 / 11
P7	16.4o	171.8o	25.77	25.8	17.43	20.31	28.90	30.0	0.7+0.40	#6	24.6	30.0	2790.8	8372.3	3	5,227	15,682	10 / 11
P8	8.2o	180.0o	25.79	25.8	17.44	20.33	28.90	30.0	0.7+0.40									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 29.46 mm; Pe :101.32 kPa ≤ Pa = 101.34 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003502; Factor_B = 36.17 MPa

S-Tank Engineering	Spherical Tank Calculation [9 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19900 (cm), Sd=138 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 41600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=348.938, Nφ=22.107

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19900	mm	1990.0	cm
3	R = Inside Radius in Corroded Condition	R =	9951.5	mm	995.15	cm
4	L = Design Liquid level	L =	15900	mm	1590.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	25,776,726	N	2628494.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 138MPa	S =	138.0	MPa	1407.208	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.639		0.639
10	γ = Liquid Density	γ =	6.266449E-6	N/mm³	639.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1016.0	mm	101.6	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.71409	degree	0.43134	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	53.28037	degree	0.92992	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9951161		0.9951161
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1160787		1.1160787
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4180905		0.4180905
20	C5 = 22 / φ	C5 =	0.8901805		0.8901805
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4180905		0.4180905
22	Calculation Result :
23	PM = P×R/2	PM =	2927.731	N-mm	29.855	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	348.938	N-mm	3.558	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	22.107	N-mm	0.225	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3437.4	N/mm	3505.173	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2649.59	N/mm	2701.83	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	26.32	mm	2.632	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	24.25	mm	2.425	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	120.735	MPa	1231.154	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,095,594,218	N-mm	11171.952×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	401,608,988	N-mm	4095.272×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	550,040,802	N-mm	5608.855×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	191,041,612	N-mm	1948.082×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	217.705	N/mm	221.997	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	642,016,174	N-mm	6546.743×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	334,136,966	N-mm	3407.249×103	Kg-cm
39	Za = IH / LA × t	Za =	81,098,146	mm³	81.098×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	6,231,816,825	mm³	6231.817×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	2.0601E-5		2.0601E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.62588E-3		6.62588E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2113.18	mm	211.318	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	56.973	N/mm	58.096	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	59,338,917	N-mm	605.089×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	29,790,980	N-mm	303.783×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,041,524	mm³	10415.239	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	318,426,657	mm³	318.427×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	305.731	mm	30.573	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	605.772	mm	60.577	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	300.253	N/mm	306.173	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	204.731	N/mm	208.768	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,761,166	N	179589.0	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	57545.871	N	5868.0	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	8321.254	mm	832.125	cm

piDeg=[24.71408833429126] piRad=[0.4313422130621035] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19900 (cm), Sd=138 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 41600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19903.0	0	0	0.5884	2927.73							2927.73	2927.73	133.08	< OK	138	22.72	22.72	23.5		3.57	0	0	0	0
P1	8.2	19801.3	0	0	0.5884	2927.73							2927.73	2927.73	133.08	< OK	138	22.72	22.72	23.5		3.57	0	0	0	0
P2	24.6	18999.8	0	0	0.5884	2927.73							2927.73	2927.73	133.08	< OK	138	22.72	22.72	23.5		3.57	0	0	0	0
P3	41	17462.0	0	0	0.5884	2927.73							2927.73	2927.73	133.08	< OK	138	22.72	22.72	23.5		3.57	0	0	0	0
P4	86	10645.7	5255.8	0.0329	0.6213	2927.73	306.38	21.38					3234.11	2949.11	131.98	< OK	138	23.97	23.91	25.0	-0.06	4.37	2.962	0.207	0.494	0.034
P5	90	9951.5	5950.0	0.0373	0.6257	2927.73	348.94	22.11	217.70	56.97	300.25	204.73	3437.40	2649.59	130.80	< OK	138	24.25	24.07	25.5	-0.18	5.22	3.374	0.214	0.562	0.036	Column Attached Equator Plate
	139	2441.0	13460.5	0.0843	0.6727	2927.73	379.87	459.53					3307.60	3387.26	131.30	< OK	138	25.76	25.77	27.0	0.01	4.86	3.673	4.443	0.612	0.74
P6	155.4	903.2	14998.3	0.0940	0.6824	2927.73	453.35	481.95					3381.08	3409.69	133.16	< OK	138	26.10	26.12	27.0	0.02	3.51	4.383	4.66	0.731	0.777
P7	171.8	101.7	15799.8	0.0990	0.6874	2927.73	491.05	494.23					3418.78	3421.96	131.55	< OK	138	26.29	26.30	27.5	0.01	4.67	4.748	4.778	0.791	0.796
P8	180	0	15901.5	0.0996	0.688	2927.73	495.81	495.81					3423.54	3423.54	131.68	< OK	138	26.31	26.32	27.5	0.01	4.58	4.794	4.794	0.799	0.799

S-Tank Engineering	Spherical Tank Calculation [9 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19900 (cm), Syt=310.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 41700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=809.069, Nφ=161.814

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19900	mm	1990.0	cm
3	R = Inside Radius in Corroded Condition	R =	9950	mm	995.0	cm
4	L = Hydrostatic-test Water Level	L =	19900	mm	1990.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	42,045,168	N	4287414.0	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 310.5MPa	S =	310.5	MPa	3166.219	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1016.0	mm	101.6	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.77749	degree	0.43245	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9949953		0.9949953
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1187616		1.1187616
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4190955		0.4190955
20	C5 = 22 / φ	C5 =	0.8879025		0.8879025
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4190955		0.4190955
22	Calculation Result :
23	PM = P×R/2	PM =	2927.29	N-mm	29.85	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	809.069	N-mm	8.25	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	161.814	N-mm	1.65	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3997.63	N/mm	4076.448	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2600.53	N/mm	2651.803	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	12.56	mm	1.256	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	11.47	mm	1.147	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	263.785	MPa	2689.858	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,786,786,274	N-mm	18220.149×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	652,990,472	N-mm	6658.65×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	897,052,338	N-mm	9147.388×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	310,699,455	N-mm	3168.253×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	353.501	N/mm	360.471	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	1,047,303,269	N-mm	10679.521×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	544,964,235	N-mm	5557.089×103	Kg-cm
39	Za = IH / LA × t	Za =	48,883,918	mm³	48.884×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	6,275,251,496	mm³	6275.251×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	2.0866E-5		2.0866E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.67669E-3		6.67669E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2118.113	mm	211.811	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	92.229	N/mm	94.047	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	96,762,075	N-mm	986.699×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	48,579,199	N-mm	495.37×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,049,151	mm³	10491.511	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	322,342,495	mm³	322.342×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	307.241	mm	30.724	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	608.734	mm	60.873	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	488.572	N/mm	498.205	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	333.436	N/mm	340.01	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,875,207	N	293189.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	94353.682	N	9621.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	8340.0	mm	834.0	cm

piDeg=[24.77749436195018] piRad=[0.4324488570103622] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19900 (cm), Syt=310.5 MPa, MAWP=0.76492 (kg/cm²), HT_UPPCOL = 41700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19900.0	0	0	0.5884	2927.29							2927.29	2927.29	278.79	< OK	310.5	9.43	9.43	10.5		10.21	0	0	0	0
P1	8.2	19798.3	101.7	0.0010	0.5894	2927.29	7.45	2.48					2934.74	2929.77	279.26	< OK	310.5	9.44	9.45	10.5	0.01	10.06	0.046	0.015	0.008	0.003
P2	24.6	18996.9	903.1	0.0089	0.5973	2927.29	66.44	21.68					2993.73	2948.97	283.01	< OK	310.5	9.57	9.57	10.5		8.85	0.411	0.134	0.068	0.022
P3	41	17459.4	2440.6	0.0239	0.6123	2927.29	181.39	56.76					3108.68	2984.05	277.12	< OK	310.5	9.82	9.81	11.0	-0.01	10.75	1.121	0.351	0.187	0.058
P4	86	10644.1	9255.9	0.0908	0.6792	2927.29	742.82	160.34					3670.11	3087.63	284.69	< OK	310.5	11.00	10.88	12.0	-0.12	8.31	4.591	0.991	0.765	0.165
P5	90	9950.0	9950.0	0.0976	0.686	2927.29	809.07	161.81	353.50	92.23	488.57	333.44	3997.63	2600.53	284.89	< OK	310.5	11.47	10.99	12.5	-0.48	8.25	5	1	0.833	0.167	Column Attached Equator Plate
	139	2440.6	17459.4	0.1712	0.7596	2927.29	789.50	914.12					3716.79	3841.41	290.82	< OK	310.5	12.18	12.17	13.0	-0.01	6.34	4.879	5.649	0.813	0.942
P6	155.4	903.1	18996.9	0.1863	0.7747	2927.29	904.44	949.20					3831.73	3876.49	285.50	< OK	310.5	12.41	12.42	13.5	0.01	8.05	5.589	5.866	0.932	0.978
P7	171.8	101.7	19798.3	0.1942	0.7826	2927.29	963.43	968.41					3890.72	3895.70	288.39	< OK	310.5	12.54	12.54	13.5		7.12	5.954	5.985	0.992	0.997
P8	180	0	19900.0	0.1952	0.7836	2927.29	970.88	970.88					3898.17	3898.17	288.75	< OK	310.5	12.55	12.56	13.5	0.01	7.00	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 297869.132
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19900
MRA(sWt[tid][20][10])= 1244.102
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	1016	mm
3. gCol[tid][3] =	Column thk	thk =	11.13	mm
4. gCol[tid][4] =	Tank Height	Htank =	12950	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	4170	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8780	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19410	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.9158	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.741	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL1	t30.5 ~ 30.5	SHT	58	297.869	363.400	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t30.5, t13×3492×4170	SHT	11	19.228	21.150	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1016×11.13t × 8780L	PCS	11	26.637	26.637	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.9158 deg.)	null	Ø0×0t × 10344L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL1(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	343.734	411.188	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 9. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1363.8 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	19503.0	0	0	588.4	588.4	15.77	15.78	28.0	0.7+0.38	1.0910	1.1528			1.0	σeq = 185.09	1 / 11
P1	8.2o	8.2o	19403.3	0	0		588.4	15.77	15.78	28.0	0.7+0.38	1.0910	1.1528			1.0	σeq = 185.09	2 / 11
P2	16.4o	24.6o	18617.9	0	0		588.4	15.77	15.78	28.0	0.7+0.38	1.0910	1.1528			1.0	σeq = 185.09	3 / 11
P3	16.4o	41.0o	17111.1	0	0		588.4	15.77	15.78	28.0	0.7+0.38	1.0910	1.1528			1.0	σeq = 185.09	4 / 11
P4	45.0o	86.0o	10431.7	5219.8	30.8		619.2	16.56	16.53	28.0	0.7+0.38	1.0602	1.1528			1.0	σeq = 189.204	5 / 11
P5	4.0o	90.0o	9751.5	5900.0	34.8		623.2	16.73	16.63	28.0	0.7+0.38	1.0562	1.1528			1.0	σeq = 191.316	6 / 11
	49.0o	139.0o	2391.9	13259.6	78.1		666.5	17.67	17.68	28.0	0.7+0.38	1.0129	1.1528			1.0	σeq = 191.207	8 / 11
P6	16.4o	155.4o	885.1	14766.4	87.0		675.4	17.88	17.90	28.0	0.7+0.38	1.0040	1.1528			1.0	σeq = 188.189	9 / 11
P7	16.4o	171.8o	99.7	15551.8	91.7		680.1	18.00	18.01	28.0	0.7+0.38	0.9993	1.1528			1.0	σeq = 189.474	10 / 11
P8	8.2o	180.0o	0	15651.5	92.2		680.6	18.01	18.02	28.0	0.7+0.38	0.9988	1.1528	0.9988	1.1528	1.0	σeq = 189.638	11 / 11

Div.2　 tReq = R · [ EXP(  0.5 · P 　  S · E 　 ) － 1 ] ＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.5884	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.9988	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.1528	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 9. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1248.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	19500.0	0	0	1248.5	1248.5	10.95	18.59	21.46	28.0	1.0910	1.1528	σeq = 286.845	1 / 11
P1	8.2o	8.2o	19400.3	99.7	1.0		1249.5	10.96	18.60	21.47	28.0	1.0910	1.1528	σeq = 287.322	2 / 11
P2	16.4o	24.6o	18615.1	884.9	8.7		1257.2	11.08	18.72	21.59	28.0	1.0910	1.1528	σeq = 291.1	3 / 11
P3	16.4o	41.0o	17108.4	2391.6	23.5		1272.0	11.30	18.94	21.81	28.0	1.0910	1.1528	σeq = 298.458	4 / 11
P4	45.0o	86.0o	10430.1	9069.9	88.9		1337.4	12.27	19.91	22.78	28.0	1.0602	1.1528	σeq = 303.399	5 / 11
P5	4.0o	90.0o	9750.0	9750.0	95.6		1344.1	12.37	20.01	22.88	28.0	1.0562	1.1528	σeq = 303.426	6 / 11
	49.0o	139.0o	2391.6	17108.4	167.8		1416.3	13.45	21.09	23.96	28.0	1.0129	1.1528	σeq = 295.025	8 / 11
P6	16.4o	155.4o	884.9	18615.1	182.6		1431.1	13.67	21.31	24.18	28.0	1.0040	1.1528	σeq = 300.686	9 / 11
P7	16.4o	171.8o	99.7	19400.3	190.3		1438.8	13.78	21.42	24.29	28.0	0.9993	1.1528	σeq = 303.675	10 / 11
P8	8.2o	180.0o	0	19500.0	191.2		1439.7	13.79	21.44	24.31	28.0	0.9988	1.1528	σeq = 304.055	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

0.7355

7.5000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.9988

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

1.2485

12.7312

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

1.1528

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

1.4410

14.6941

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 9. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1248.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	19503.0	0	0	19500.0	0	0	26.50	28.0	1.0910	1.1528	110.1017	1 / 11
P1	8.2o	8.2o	19403.3	0	0	19400.3	99.7	1.0	26.50	28.0	1.0910	1.1528	110.1017	2 / 11
P2	16.4o	24.6o	18617.9	0	0	18615.1	884.9	8.7	26.50	28.0	1.0910	1.1528	110.1017	3 / 11
P3	16.4o	41.0o	17111.1	0	0	17108.4	2391.6	23.5	26.50	28.0	1.0910	1.1528	110.1017	4 / 11
P4	45.0o	86.0o	10431.7	5219.8	30.8	10430.1	9069.9	88.9	26.50	28.0	1.0602	1.1528	110.1017	5 / 11
P5	4.0o	90.0o	9751.5	5900.0	34.8	9750.0	9750.0	95.6	26.50	28.0	1.0562	1.1528	110.1017	6 / 11
	49.0o	139.0o	2391.9	13259.6	78.1	2391.6	17108.4	167.8	26.50	28.0	1.0129	1.1528	110.1017	8 / 11
P6	16.4o	155.4o	885.1	14766.4	87.0	884.9	18615.1	182.6	26.50	28.0	1.0040	1.1528	110.1017	9 / 11
P7	16.4o	171.8o	99.7	15551.8	91.7	99.7	19400.3	190.3	26.50	28.0	0.9993	1.1528	110.1017	10 / 11
P8	8.2o	180.0o	0	15651.5	92.2	0	19500.0	191.2	26.50	28.0	0.9988	1.1528	110.1017	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value (MPa)

Test Gage Pressure (kg/cm2)

Hydro. Test Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.5884

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

0.7355

7.5000

CASE 2

(Hot & Corroded) At Site : Max. Allowable Working Pressue

MAWP =

0.9988

at Site

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MWAP×LSR

Pset(MAWP) =

1.2485

12.7312

CASE 3

( New & Cold ) At Shop : Max. Allowable Pressue

MAP =

1.1528

at Shop

Hydrostatic-Test Gauge Setting Pressure, Pset = 1.25×MAP×LSR

Pset(MAP) =

1.4410

14.6941

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL1

Maximum. Allowable External Pressure

MAEP =

110.1017

1.1227

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=110.1017 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 9. 10-TK-7440AB				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 19500 mm, CA = 1.5 mm, SG = 0.601, Pg= 6 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1248.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 201 MPa, St = 327.75 MPa, Samb = 201 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	15.77	15.8	18.59	21.46	26.92	28.0	0.7+0.38	#1	24.6	28.0	2790.8	8372.3	3	4,879	14,637	1 / 11
P1	8.2o	8.2o	15.77	15.8	18.60	21.47	26.92	28.0	0.7+0.38									2 / 11
P2	16.4o	24.6o	15.77	15.8	18.72	21.59	26.92	28.0	0.7+0.38									3 / 11
P3	16.4o	41.0o	15.77	15.8	18.94	21.81	26.92	28.0	0.7+0.38	#2	16.4	28.0	2790.8	9246.1	4	4,392	17,566	4 / 11
P4	45.0o	86.0o	16.56	16.5	19.91	22.78	26.92	28.0	0.7+0.38	#3	45.0	28.0	2777.8	7700.0	22	4,087	89,924	5 / 11
P5	4.0o	90.0o	16.73	16.6	20.01	22.88	26.92	28.0	0.7+0.38	#4	53.0	28.0	2784.6	9119.0	22	4,920	108,241	6 / 11
	49.0o	139.0o	17.67	17.7	21.09	23.96	26.92	28.0	0.7+0.38									8 / 11
P6	16.4o	155.4o	17.88	17.9	21.31	24.18	26.92	28.0	0.7+0.38	#5	16.4	28.0	2790.8	9046.1	4	4,392	17,566	9 / 11
P7	16.4o	171.8o	18.00	18.0	21.42	24.29	26.92	28.0	0.7+0.38	#6	24.6	28.0	2790.8	8372.3	3	4,879	14,637	10 / 11
P8	8.2o	180.0o	18.01	18.0	21.44	24.31	26.92	28.0	0.7+0.38									11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 8. 10-TK-7420ABC				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 19900 mm, CA = 1.5 mm, SG = 0.639, Pg= 6 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=915.5 kPa
Material : SA537-CL1, EXTERNAL CHART NO. [CS-4], DTEMP = 65 ℃, Sd = 138 MPa, St = 310.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 345 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	22.72	22.7	14.67	17.62	29.46	30.5	0.7+0.34	#1	24.6	30.5	2848.0	8544.1	3	5,535	16,605	1 / 11
P1	8.2o	8.2o	22.72	22.7	14.69	17.63	29.46	30.5	0.7+0.34									2 / 11
P2	16.4o	24.6o	22.72	22.7	14.81	17.76	29.46	30.5	0.7+0.34									3 / 11
P3	16.4o	41.0o	22.72	22.7	15.05	18.00	29.46	30.5	0.7+0.34	#2	16.4	30.5	2848.0	9431.7	4	4,982	19,928	4 / 11
P4	45.0o	86.0o	23.97	23.9	16.13	19.07	29.46	30.5	0.7+0.34	#3	45.0	30.5	2834.8	7860.0	22	4,637	102,013	5 / 11
P5	4.0o	90.0o	24.25	24.1	16.24	19.18	29.46	TD90USED	0.7+0.34	#4	53.0	30.5	2841.7	9304.0	22	5,581	122,792	6 / 11
	49.0o	139.0o	25.76	25.8	17.42	20.36	29.46	30.5	0.7+0.34									8 / 11
P6	16.4o	155.4o	26.10	26.1	17.66	20.60	29.46	30.5	0.7+0.34	#5	16.4	30.5	2848.0	9231.7	4	4,982	19,928	9 / 11
P7	16.4o	171.8o	26.29	26.3	17.78	20.73	29.46	30.5	0.7+0.34	#6	24.6	30.5	2848.0	8544.1	3	5,535	16,605	10 / 11
P8	8.2o	180.0o	26.31	26.3	17.80	20.74	29.46	30.5	0.7+0.34									11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 26.92 mm; Pe :101.32 kPa ≤ Pa = 101.33 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.974; Fic=38.974 MPa; Fha=19.487 MPa; FS=2

S-Tank Engineering	Spherical Tank Calculation [10 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=19500 (cm), Sd=201 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=318.404, Nφ=20.688

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9751.5	mm	975.15	cm
4	L = Design Liquid level	L =	15650	mm	1565.0	cm
5	CA = Corrosion Allowance	CA =	1.5	mm	0.15	cm
6	Wt = Total Weight at Operating Condition	Wt =	22,305,777	N	2274556.3	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 201MPa	S =	201.0	MPa	2049.63	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.601		0.601
10	γ = Liquid Density	γ =	5.893797E-6	N/mm³	601.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.96345	degree	0.41824	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.76863	degree	0.92099	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965228		0.9965228
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0842144		1.0842144
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4061538		0.4061538
20	C5 = 22 / φ	C5 =	0.9180647		0.9180647
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4061538		0.4061538
22	Calculation Result :
23	PM = P×R/2	PM =	2868.891	N-mm	29.255	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	318.404	N-mm	3.247	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	20.688	N-mm	0.211	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3339.93	N/mm	3405.781	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2616.12	N/mm	2667.7	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	18.02	mm	1.802	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	16.73	mm	1.673	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	174.917	MPa	1783.657	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	929,013,914	N-mm	9473.306×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	353,116,585	N-mm	3600.787×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	466,409,506	N-mm	4756.053×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	167,450,972	N-mm	1707.525×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	203.438	N/mm	207.449	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	542,929,468	N-mm	5536.34×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	283,234,955	N-mm	2888.193×103	Kg-cm
39	Za = IH / LA × t	Za =	50,706,578	mm³	50.707×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,363,383,851	mm³	5363.384×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7664E-5		1.7664E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.043657E-3		6.043657E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2009.686	mm	200.969	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	50.804	N/mm	51.806	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	46,366,118	N-mm	472.803×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	23,278,013	N-mm	237.37×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	912,640	mm³	9126.397	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	257,201,700	mm³	257.202×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	281.822	mm	28.182	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	558.712	mm	55.871	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	273.457	N/mm	278.849	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	190.149	N/mm	193.898	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,549,253	N	157979.8	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	43040.476	N	4388.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7921.218	mm	792.122	cm

piDeg=[23.96345330703667] piRad=[0.4182411603557135] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Sd=201 MPa, Pg=0.5884 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19503.0	0	0	0.5884	2868.89							2868.89	2868.89	185.09	< OK	201	15.77	15.78	17.0	0.01	7.92	0	0	0	0
P1	8.2	19403.3	0	0	0.5884	2868.89							2868.89	2868.89	185.09	< OK	201	15.77	15.78	17.0	0.01	7.92	0	0	0	0
P2	24.6	18617.9	0	0	0.5884	2868.89							2868.89	2868.89	185.09	< OK	201	15.77	15.78	17.0	0.01	7.92	0	0	0	0
P3	41	17111.1	0	0	0.5884	2868.89							2868.89	2868.89	185.09	< OK	201	15.77	15.78	17.0	0.01	7.92	0	0	0	0
P4	86	10431.7	5219.8	0.0308	0.6192	2868.89	279.97	20.02					3148.86	2888.92	189.20	< OK	201	16.56	16.53	17.5	-0.03	5.87	2.997	0.214	0.5	0.036
P5	90	9751.5	5900.0	0.0348	0.6232	2868.89	318.40	20.69	203.44	50.80	273.46	190.15	3339.93	2616.12	191.32	< OK	201	16.73	16.63	17.5	-0.10	4.82	3.409	0.221	0.568	0.037	Column Attached Equator Plate
	139	2391.9	13259.6	0.0781	0.6665	2868.89	345.07	417.01					3213.96	3285.90	191.21	< OK	201	17.67	17.68	18.5	0.01	4.87	3.694	4.464	0.616	0.744
P6	155.4	885.1	14766.4	0.0870	0.6754	2868.89	411.42	437.26					3280.31	3306.15	188.19	< OK	201	17.88	17.90	19.0	0.02	6.37	4.405	4.681	0.734	0.78
P7	171.8	99.7	15551.8	0.0917	0.6801	2868.89	445.47	448.34					3314.36	3317.23	189.47	< OK	201	18.00	18.01	19.0	0.01	5.73	4.769	4.8	0.795	0.8
P8	180	0	15651.5	0.0922	0.6806	2868.89	449.77	449.77					3318.66	3318.66	189.64	< OK	201	18.01	18.02	19.0	0.01	5.65	4.815	4.815	0.803	0.803

S-Tank Engineering	Spherical Tank Calculation [10 / ??? ]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=19500 (cm), Syt=327.75 MPa, MAWP=0.7355 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=776.871, Nφ=155.374

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	19500	mm	1950.0	cm
3	R = Inside Radius in Corroded Condition	R =	9750	mm	975.0	cm
4	L = Hydrostatic-test Water Level	L =	19500	mm	1950.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	39,452,962	N	4023082.5	Kg
7	S = Allowable Stress for the Design Condition SA537-CL1, Sd = 327.75MPa	S =	327.75	MPa	3342.12	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.588	MPa	6.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	914.4	mm	91.44	cm
12	N = Number of Support Column	N =	11.0	columns	11	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	23.96345	degree	0.41824	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9965228		0.9965228
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0842144		1.0842144
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4061538		0.4061538
20	C5 = 22 / φ	C5 =	0.9180647		0.9180647
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4061538		0.4061538
22	Calculation Result :
23	PM = P×R/2	PM =	2868.45	N-mm	29.25	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	776.871	N-mm	7.922	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	155.374	N-mm	1.584	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3915.32	N/mm	3992.515	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2540.08	N/mm	2590.161	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	11.6	mm	1.16	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	10.65	mm	1.065	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	279.152	MPa	2846.558	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,642,924,706	N-mm	16753.17×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	624,472,844	N-mm	6367.851×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	824,826,936	N-mm	8410.894×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	296,130,483	N-mm	3019.691×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	359.883	N/mm	366.979	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	960,149,490	N-mm	9790.8×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	500,889,920	N-mm	5107.656×103	Kg-cm
39	Za = IH / LA × t	Za =	40,019,195	mm³	40.019×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5,360,909,205	mm³	5360.909×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.7664E-5		1.7664E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.043657E-3		6.043657E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2009.377	mm	200.938	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	89.887	N/mm	91.659	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	82,009,278	N-mm	836.262×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	41,172,588	N-mm	419.844×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	912,359	mm³	9123.59	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	257,083,028	mm³	257.083×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	281.778	mm	28.178	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	558.626	mm	55.863	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	483.747	N/mm	493.285	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	336.357	N/mm	342.989	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,740,084	N	279410.8	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	76138.817	N	7764.0	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7920.0	mm	792.0	cm

piDeg=[23.96345330703667] piRad=[0.4182411603557135] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=19500 (cm), Syt=327.75 MPa, MAWP=0.7355 (kg/cm²), HT_UPPCOL = 39600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	19500.0	0	0	0.5884	2868.45							2868.45	2868.45	286.84	< OK	327.75	8.75	8.76	10.0	0.01	12.48	0	0	0	0
P1	8.2	19400.3	99.7	0.0010	0.5894	2868.45	7.15	2.38					2875.60	2870.83	287.32	< OK	327.75	8.77	8.77	10.0		12.34	0.046	0.015	0.008	0.003
P2	24.6	18615.1	884.9	0.0087	0.5971	2868.45	63.80	20.82					2932.25	2889.27	291.10	< OK	327.75	8.88	8.89	10.0	0.01	11.18	0.411	0.134	0.068	0.022
P3	41	17108.4	2391.6	0.0235	0.6119	2868.45	174.17	54.50					3042.62	2922.95	298.46	< OK	327.75	9.11	9.11	10.0		8.94	1.121	0.351	0.187	0.058
P4	86	10430.1	9069.9	0.0889	0.6773	2868.45	713.25	153.96					3581.70	3022.41	303.40	< OK	327.75	10.18	10.08	11.0	-0.10	7.43	4.591	0.991	0.765	0.165
P5	90	9750.0	9750.0	0.0956	0.684	2868.45	776.87	155.37	359.88	89.89	483.75	336.36	3915.32	2540.08	303.43	< OK	327.75	10.65	10.18	11.5	-0.47	7.42	5	1	0.833	0.167	Column Attached Equator Plate
	139	2391.6	17108.4	0.1678	0.7562	2868.45	758.08	877.74					3626.53	3746.19	295.02	< OK	327.75	11.25	11.25	12.5		9.98	4.879	5.649	0.813	0.942
P6	155.4	884.9	18615.1	0.1826	0.771	2868.45	868.45	911.43					3736.90	3779.88	300.69	< OK	327.75	11.47	11.47	12.5		8.26	5.589	5.866	0.932	0.978
P7	171.8	99.7	19400.3	0.1903	0.7787	2868.45	925.09	929.87					3793.54	3798.32	303.68	< OK	327.75	11.58	11.59	12.5	0.01	7.35	5.954	5.985	0.992	0.997
P8	180	0	19500.0	0.1912	0.7796	2868.45	932.24	932.24					3800.69	3800.69	304.06	< OK	327.75	11.60	11.60	12.5		7.23	6	6	1	1

], CalcRpt[i][2]=[SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT()

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 58
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 262571.106
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 19500
MRA(sWt[tid][20][10])= 1194.591
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	11	Columns
2. gCol[tid][2] =	Column OD	OD =	914.4	mm
3. gCol[tid][3] =	Column thk	thk =	10.31	mm
4. gCol[tid][4] =	Tank Height	Htank =	12750	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3960	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8790	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	19060	mm
8. gCol[tid][8] =	Brace Angle	BRang =	31.4208	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1946	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

WEIGHT SUMMARY
A) TANK 제작비/자재비/도장비/외주비 부문

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA537-CL1	t28 ~ 28	SHT	58	262.571	320.337	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t28, t12×3173×3960	SHT	11	15.376	16.914	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø914.4×10.31t × 8790L	PCS	11	22.225	22.225	000,000	000,000	3
4	BRACE ( PIPE, θ= 31.4208 deg.)	null	Ø0×0t × 10300L	PCS	22			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA537-CL1(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA537-CL1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				102	300.173	359.476	000,000	000,000	12

]CODE_CALC() 111 Tank Qty = iMax = [12]
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [44.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [53.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [44.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [50.5]mm
]

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sph.uAry.length = [2] uAry[0].length = [5]
sph.bAry.length = [38] bAry[0].length = [15]
sph.cAry.length = [36] cAry[0].length = [12]
sph.dAry.length = [36] dAry[0].length = [12]
tReq=[

tReq =

P·R 2·S·E － 0.2·P

＋ CA

Div.1 tReq =

PR 2SE － 0.2P

＋ CA

Div.1 tReq =

P·R 2·S·E － 0.2·P

＋ CA

Div.1　 tReq =

P·Rc 2·S·E － 0.2·P

＋ CA

Div.2　 tReq = R · [ EXP(

0.5 · P 　  S · E

) － 1 ] ＋ CA

시작시간 = [2024-12-05 09:08:42.0382]
종료시간 = [2024-12-05 09:08:42.0577]

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