Sphercal Tank / SVG DRAW and Calculation

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시작시간 = [2025-04-03 10:20:50.0576]
req=[org.apache.catalina.connector.RequestFacade@59dcdce0]
res=[org.apache.catalina.connector.ResponseFacade@33292437]
conn=[com.mysql.jdbc.JDBC4Connection@1840a51d]
cdAry[0] = []
cdAry[1] = [TABLE 1.1) String uAry[][]
query[0] = Select sid, SYMBOL, UNIT, DESCR, kid From S_DATA Where kid=9 and sid=0

sid	SYMBOL	UNIT	DESCR	kid
0	PUnit	kg/cm²	0 \| kg/cm² \| 입력 압력단위 (Pressue Input Unit) = kg/cm² \|	9

]
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=9 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	1467.760	2618.100	3053.630	3053.630	8181.230	696.910	2500.490	2006.970	904.780	381.700
1	Storage Capacity [저장용량]	m³	V_sto	1320.970	2454.930	2752.170	2752.170	8143.010	538.330	2241.580	1950.430	876.950	370.320
2	Vapor Space Capacity	m³	V_hil	146.790	163.170	301.460	301.460	38.220	158.580	258.910	56.540	27.830	11.380
3	Storage Capacity Ratio	%	R_Sto	90.000	93.770	90.130	90.130	99.530	77.250	89.650	97.180	96.920	97.020
4	Vapor Space Ratio	%	R_vapor	10.000	6.230	9.870	9.870	0.470	22.750	10.350	2.820	3.080	2.980
10	A. WEIGHT SUMMARY
11	SHELL PLATE	Ton	Ws	184.312	509.880	319.640	319.640	1272.816	121.744	154.050	157.566	46.265	20.020
12	UPPER COLUMN (PLATE)	Ton	Wuc	4.578	10.679	13.819	13.819	32.372	1.900	6.905	6.648	2.643	1.711
13	LOWER COLUMN (PIPE)	Ton	Wc	12.376	18.454	22.934	22.934	56.334	4.503	13.933	20.978	4.079	3.273
14	CROSS BRACE (PIPE)	Ton	Wb	10.761	15.061	15.547	15.547	38.771	2.853	11.396	16.625	2.830	2.169
15	ROOF PLATFORM & STAIRWAY	Ton	Wr	11.138	16.609	20.641	20.641	50.701	4.053	12.540	18.880	3.671	2.946
16	WATER SPRAY AND ATTACHMENT	Ton	Wsp	9.901	14.763	18.347	18.347	45.067	3.602	11.146	16.782	3.263	2.618
17	MANHOLE & NOZZLE	Ton	Wn	8.100	12.200	16.300	16.300	19.500	8.100	12.200	12.200	8.100	8.100
18	INTERNAL LADDER & ATTACHMENT	Ton	Wi	6.391	9.626	12.861	12.861	15.386	6.391	9.626	9.626	6.391	6.391
19	ANCHOR BOLT/NUT	Ton	Wa	2.544	3.180	3.180	3.180	4.452	1.908	3.180	3.180	2.544	1.908
20	COLUMN FIRE PROOFING	Ton	Win	20.100	30.200	40.300	40.300	70.500	20.100	30.200	30.200	20.100	20.100
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	508.300	812.800	914.400	914.400	1066.800	406.400	609.600	609.600	406.400	406.400
27	Lower-Column Thickness	mm	Tcol	15.100	13.000	14.000	14.000	16.000	12.700	12.700	12.700	12.700	12.700
28	Cross-Brace O.D	mm	Dbrace	219.100	273.100	273.100	273.100	323.500	168.300	273.100	219.100	168.300	168.300
29	Cross-Brace Thickness	mm	Tbrace	12.700	12.700	12.700	12.700	15.600	7.100	9.300	12.700	7.100	7.100
30	■ EMPTY WEIGHT (1 Unit)	Ton	We	270.200	640.650	483.570	483.570	1605.900	175.150	265.180	292.690	99.890	69.240	We = W(1)+ .. +W(10)
31	B. LOADING DATA
32	CONTENTS WEIGHT (at Operating)	Ton	Wc	93.790	1593.250	1720.110	1640.290	4885.810	288.540	1448.060	1212.190	438.480	185.160	*Wc = Vsto S.G**
33	HYDROSTATIC TEST WATER WEIGHT	Ton	Wt	1467.760	2618.100	3053.630	3053.630	8181.230	696.910	2500.490	2006.970	904.780	381.700	*Wt = Vnom 1.0**
34	1) VERTICAL LOAD
35	EMPTY WEIGHT	Ton	We	270.200	640.650	483.570	483.570	1605.900	175.150	265.180	292.690	99.890	69.240	We = W(1)+ .. +W(10)
36	OPERATING WEIGHT	Ton	Wo	363.990	2233.900	2203.680	2123.860	6491.710	463.690	1713.240	1504.880	538.370	254.400	Wo = We + Wc
37	HYDROSTATIC TEST WEIGHT	Ton	Wh	1737.960	3258.750	3537.200	3537.200	9787.130	872.060	2765.670	2299.660	1004.670	450.940	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	91.000	558.480	550.920	530.970	1622.930	115.920	428.310	376.220	134.590	63.600	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=9 and sid<100 Order By sid

sid	SYMBOL	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10
1	TNO	SK-01	SK-02	T-3208(3)	T-3213(3)	TKK	알제리	롯데 G1	말레이시아	SN2388	SN2345
2	CODE	DIV. 1	DIV. 1	DIV. 2	DIV. 2	DIV. 2	DIV. 1	DIV. 1	DIV. 1	DIV. 1	DIV. 1
3	CONTENT	LH2	LH2	Crude C4	HP Petrochemical	Mixed C4	LPG	C4	1.3 BUTADIENE	LNG FUEL	LNG FUEL
4	SG	0.071	0.649	0.625	0.596	0.6	0.536	0.646	0.6215	0.5	0.5
5	MATL	SA240-316L	SA516-60	SA537-CL2	SA537-CL2	SA516-65	SA537-CL2	SA516-70	SA516-70	SA553-TYPE1	SA553-TYPE1
6	DTEMP	70	70	70	70	87	100	80	68	40	40
7	Sd	115.00	118.00	230.00	230.00	148.49	158.00	138.00	138.00	197.00	197.00
8	Di	14100	17100	18000	18000	25000	11000	16840	15650	12000	9000
9	CA	0	3.0	3.2	3.2	3.0	1.5	1.5	3.0	1	1
10	HT	12000	11550	12000	12000	15500	9000	11420	15350	7000	7000
11	HHLL	11339	14500	14500	14500	24000	7600	13480	14080	10740	8070
12	HLL	11339	14100	14100	14100	24000	7600	13480	12520	10740	8070
13	LLL	2300	2300	2300	2300	1000	1000	1000	2000	2000	2000
14	LLLL	2000	2000	2000	2000	1000	1000	1000	1000	1000	1000
15	Pi	11.633	18.0	18.0	18.0	17.9	21.9239	6.0	6.0	5.076147	5.076147
16	Pe	1.033227	1.033227	1.033227	1.033227	1.05	1.05	0.517	1.033227	0.45	0.45
17	MDMT	-15	-15	-15	-15	-10	-46	-15	-19	-19	-19
18	E	1.0	1.0	1.0	1.0	1	1	1	1	1	1
19	TQTY	4.0	4.0	4.0	4.0	1	1	10	1	1	1
20	CQTY	8	10	10	10	14	6	10	10	8	6
21	SQTY	7	9	9	9	10	5	8	8	7	5
22	CACB	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	1.5 / 1.5	1.5 / 1.5	1.5 / 1.5	1.5 / 1.5	1.5 / 1.5
23	L	64.0	64.0	64.0	64.0	64	64	64	25.4	25.2	25.2
24	tdReq	35.25	70.42	39.56	39.48	83.10	39.68	22.07	22.13	9.39	7.14
25	twReq	37.39	53.25	27.25	27.25	67.07	21.40	16.74	15.37	4.36	3.14
26	tmReq	37.39	53.25	28.26	28.26	69.48	21.40	16.74	15.37	4.36	3.14
27	teReq	20.37	27.4	18.39	18.42	16.58	16.75	18.5	25.25	12.2	8.98
28	tTops	36.0	68.0	39.0	39.0	78.5	40.5	20.5	26.0	13.0	10.0
29	tMids	38.5	71.0	40.0	40.0	83.5	40.5	22.5	26.0	13.0	10.0
30	tBtms	38.5	71.5	40.5	40.5	84.0	40.5	23.0	26.0	13.0	10.0
31	tUsed	38.5	71.5	40.5	40.5	84.0	40.5	23.0	26.0	13.0	10.0
32	MSG	OK	두께64mm초과Sd 확인필요!	OK	OK	두께64mm초과Sd 확인필요!	OK	OK	OK	OK	OK
33	tdCyo	70.84	138.92	76.07	75.91	163.72	78.39	42.74	41.36	17.8	13.3
34	ttCyt	75.19	110.17	59.81	59.81	142.35	44.46	35.05	33.8	9.72	7.29
35	tCyli	76.0	140.0	77.0	77.0	164.5	79.5	43.5	42.5	19.0	14.5

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

1	1	TANK NO. (Max. 40 Char.)	TNO =		SK-01 0	SK-02 0	T-3208(3) 0	T-3213(3) 0	TKK 0	알제리 0	롯데 G1 0	말레이시아 0	SN2388 0	SN2345 0
2	2	VESSEL DESIGN CODE (ASME SEC. VIII, Div. 1,2)	CODE =		DIV. 1 1	DIV. 1 1	DIV. 2 2	DIV. 2 2	DIV. 2 2	DIV. 1 1	DIV. 1 1	DIV. 1 1	DIV. 1 1	DIV. 1 1
3	3	STORAGE LIQUID NAME	CONTENT =		LH2 0	LH2 0	Crude C4 0	HP Petrochemical 0	Mixed C4 0	LPG 0	C4 0	1.3 BUTADIENE 0	LNG FUEL 0	LNG FUEL 0
4	4	DESIGN SPECIFIC GRAVITY	SG =		0.071 0.071	0.649 0.649	0.625 0.625	0.596 0.596	0.6 0.6	0.536 0.536	0.646 0.646	0.6215 0.6215	0.5 0.5	0.5 0.5
5	5	MATERIAL OF SHELL PLATE	MATL =		SA240-316L 0	SA516-60 0	SA537-CL2 0	SA537-CL2 0	SA516-65 0	SA537-CL2 0	SA516-70 0	SA516-70 0	SA553-TYPE1 0	SA553-TYPE1 0
6	6	DESIGN TEMPERATURE (Max.)	DTEMP =	℃	70 70	70 70	70 70	70 70	87 87	100 100	80 80	68 68	40 40	40 40
7	7	ALLOWABLE STRESS at Deisin(Operating)	Sd =	MPa	115.00 115	118.00 118	230.00 230	230.00 230	148.49 148.49	158.00 158	138.00 138	138.00 138	197.00 197	197.00 197
8	8	TANK INSIDE DIAMETER	Di =	mm	14100 14100	17100 17100	18000 18000	18000 18000	25000 25000	11000 11000	16840 16840	15650 15650	12000 12000	9000 9000
9	9	CORROSION ALLOWANCE (SHELL)	CA =	mm	0 0	3.0 3	3.2 3.2	3.2 3.2	3.0 3	1.5 1.5	1.5 1.5	3.0 3	1 1	1 1
10	10	TANK EQUATOR LEVEL (FROM GROUND)	HT =	mm	12000 12000	11550 11550	12000 12000	12000 12000	15500 15500	9000 9000	11420 11420	15350 15350	7000 7000	7000 7000
11	11	(SHELL 두께계산 높이) HIGH HIGH LIQUID LEVEL	HHLL =	mm	11339 11339	14500 14500	14500 14500	14500 14500	24000 24000	7600 7600	13480 13480	14080 14080	10740 10740	8070 8070
12	12	(Storage 용량계산 액높이) HIGH LIQUID LEVEL	HLL =	mm	11339 11339	14100 14100	14100 14100	14100 14100	24000 24000	7600 7600	13480 13480	12520 12520	10740 10740	8070 8070
13	13	LOW LIQUID LEVEL	LLL =	mm	2300 2300	2300 2300	2300 2300	2300 2300	1000 1000	1000 1000	1000 1000	2000 2000	2000 2000	2000 2000
14	14	LOW LOW LIQUID LEVEL	LLLL =	mm	2000 2000	2000 2000	2000 2000	2000 2000	1000 1000	1000 1000	1000 1000	1000 1000	1000 1000	1000 1000
15	15	DESIGN INTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pi =	kg/cm² kPa	11.633 1140.8075945	18.0 1765.197	18.0 1765.197	18.0 1765.197	17.9 1755.39035	21.9239 2150.0001394	6.0 588.399	6.0 588.399	5.076147 497.7999698	5.076147 497.7999698
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	1.05 102.969825	1.05 102.969825	0.517 50.7003805	1.033227 101.3249556	0.45 44.129925	0.45 44.129925
17	17	MIN.DESIGN METAL TEMPERATURE	MDMT =	℃	-15 -15	-15 -15	-15 -15	-15 -15	-10 -10	-46 -46	-15 -15	-19 -19	-19 -19	-19 -19
18	18	SHELL JOINT EFFICIENCY	E =		1.0 1	1.0 1	1.0 1	1.0 1	1 1	1 1	1 1	1 1	1 1	1 1
19	19	TANK QUANTITY (탱크수량 직접입력)	TQTY =	Unit	4.0 4	4.0 4	4.0 4	4.0 4	1 1	1 1	10 10	1 1	1 1	1 1
20	20	COLUMN QUANTITY (수량자동계산)	CQTY =	EA	8 8	10 10	10 10	10 10	14 14	6 6	10 10	10 10	8 8	6 6
21	21	SHELL SEGMENT QUANTITY (수량자동계산)	SQTY =	EA	7 7	9 9	9 9	9 9	10 10	5 5	8 8	8 8	7 7	5 5
22	22	CORROSION ALLOWANCE (Column/Brace)	CACB =	mm	3.0 / 3.0 0	3.0 / 3.0 0	3.0 / 3.0 0	3.0 / 3.0 0	3.0 / 3.0 0	1.5 / 1.5 0	1.5 / 1.5 0	1.5 / 1.5 0	1.5 / 1.5 0	1.5 / 1.5 0
23	23	Cylinderical Vessel Longitudinal Length ex) Mounded Bullet Vessel(Cylinderical) Length	L =	(m)	64.0 64	64.0 64	64.0 64	64.0 64	64 64	64 64	64 64	25.4 25.4	25.2 25.2	25.2 25.2
24	24	Req'd Thickness under Operating Cond. (Pi+Ps)	tdReq =	mm	35.25 35.25	70.42 70.42	39.56 39.56	39.48 39.48	83.10 83.1	39.68 39.68	22.07 22.07	22.13 22.13	9.39 9.39	7.14 7.14
25	25	Req'd Thickness under Hydro-test (MAWP) (Pt)	twReq =	mm	37.39 37.39	53.25 53.25	27.25 27.25	27.25 27.25	67.07 67.07	21.40 21.4	16.74 16.74	15.37 15.37	4.36 4.36	3.14 3.14
26	26	Req'd Thickness under Hydro-test (MAP) (Pt)	tmReq =	mm	37.39 37.39	53.25 53.25	28.26 28.26	28.26 28.26	69.48 69.48	21.40 21.4	16.74 16.74	15.37 15.37	4.36 4.36	3.14 3.14
27	27	Req'd Thickness under External Pressue (Pe)	teReq =	mm	20.37 20.37	27.4 27.4	18.39 18.39	18.42 18.42	16.58 16.58	16.75 16.75	18.5 18.5	25.25 25.25	12.2 12.2	8.98 8.98
28	28	● Top Shell Used Thickness	tTops =	mm	36.0 36	68.0 68	39.0 39	39.0 39	78.5 78.5	40.5 40.5	20.5 20.5	26.0 26	13.0 13	10.0 10
29	29	● Equator Used Thickness	tMids =	mm	38.5 38.5	71.0 71	40.0 40	40.0 40	83.5 83.5	40.5 40.5	22.5 22.5	26.0 26	13.0 13	10.0 10
30	30	● Bottom Shell Used Thickness	tBtms =	mm	38.5 38.5	71.5 71.5	40.5 40.5	40.5 40.5	84.0 84	40.5 40.5	23.0 23	26.0 26	13.0 13	10.0 10
31	31	● Max. (Spherical) Used Thickness	tUsed =	mm	38.5 38.5	71.5 71.5	40.5 40.5	40.5 40.5	84.0 84	40.5 40.5	23.0 23	26.0 26	13.0 13	10.0 10
32	32	If (tUsed ≤ 64mm) then Accetable Else (tUsed>64mm) Sd ReSelect	MSG =		OK 0	두께64mm초과Sd 확인필요! 0	OK 0	OK 0	두께64mm초과Sd 확인필요! 0	OK 0	OK 0	OK 0	OK 0	OK 0
33	33	(● Cylinder) Req'd Thickness under Oper. (Pi+Ps)	tdCyo =	mm	70.84 70.84	138.92 138.92	76.07 76.07	75.91 75.91	163.72 163.72	78.39 78.39	42.74 42.74	41.36 41.36	17.8 17.8	13.3 13.3
34	34	(● Cylinder) Req'd Thickness under Hydrotest(Pt)	ttCyt =	mm	75.19 75.19	110.17 110.17	59.81 59.81	59.81 59.81	142.35 142.35	44.46 44.46	35.05 35.05	33.8 33.8	9.72 9.72	7.29 7.29
35	35	● Max. (Cylinder) Used Thickness	tCyli =	mm	76.0 76	140.0 140	77.0 77	77.0 77	164.5 164.5	79.5 79.5	43.5 43.5	42.5 42.5	19.0 19	14.5 14.5

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 = 14,100 (m), Material SA240-316L, 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	11	11	30.5	2707	8121	1	5,000		16,242		30.5	2707	8121	3	5000.23	15000.7	1137.37	62.653
#2, 0	22	33	30.5	2707	7031.9	2	10,000	ø7679.4	28,128	6,121	30.5	2707	8121	3	5000.23	15000.7	1137.37	62.653
#3, 3	22	55	30.5	2707	9071.4	4	16,883	ø11550	36,286		30.5	2707	8367.1	4	4220.76	16883.1	1868.92	70.515
#4, 4	70	125	32.0	2768.5	8742.2	16	89,991	ø14100		137,811	32.0	2768.5	8742.2	16	5624.43	89990.9	8087.42	358.244
#5, 7	22	147	32.5	2707	9071.4	4	17,990	ø11550	36,286		32.5	2707	8167.1	4	4497.54	17990.1	1868.92	70.515
#6, 8	22	169	33.0	2707	7031.9	2	10,820	ø7679.4	28,128	6,121	33.0	2707	8121	3	5410.09	16230.3	1137.37	62.653
#7, 8	11	180	33.0	2707	8121	1	5,410		16,242		33.0	2707	8121	3	5410.09	16230.3	1137.37	62.653
Total Quantity and Shell Weight						30	156,095	kg	161.3 (m)	150.1 (m)				30		156095	14100.00	624.58
Total Site Weleding length (m)									311.4 (m)

myEQid[tid] = [ 3 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 17,100 (m), Material SA516-60, 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	9	9	68.0	2686.1	8058.2	1	10,976		16,116		68.0	2686.1	8058.2	3	10976.35	32929.1	931.89	61.688
#2, 0	18	27	68.0	2686.1	7287.5	2	21,953	ø7763.2	29,150	5,506	68.0	2686.1	8058.2	3	10976.35	32929.1	931.89	61.688
#3, 3	18	45	68.0	2686.1	9496.7	4	38,884	ø12091.5	37,987		68.0	2686.1	8750	4	9720.90	38883.6	1572.35	72.843
#4, 4	14.5	59.5	68.5	7714.6	2163.8	6	49,291	ø14733.9	46,288	12,983	68.5	2314.4	8953.5	6	8215.09	49290.6	1706.31	91.665
#5, 5	61	120.5	70.5	2686.1	9195.7	20	258,029	ø17100		182,055	70.5	2686.1	9195.7	20	12901.47	258029.4	8678.9	466.241
#6, 8	14.5	135	71.0	7714.6	2163.8	6	51,089	ø14733.9	46,288	12,983	71.0	2314.4	8953.5	6	8514.92	51089.5	1706.31	91.665
#7, 9	18	153	71.0	2686.1	9496.7	4	40,599	ø12091.5	37,987		71.0	2686.1	8550	4	10149.76	40599.0	1572.35	72.843
#8, 10	18	171	71.5	2686.1	7287.5	2	23,083	ø7763.2	29,150	5,506	71.5	2686.1	8058.2	3	11541.31	34623.9	931.89	61.688
#9, 10	9	180	71.5	2686.1	8058.2	1	11,541		16,116		71.5	2686.1	8058.2	3	11541.31	34623.9	931.89	61.688
Total Quantity and Shell Weight						46	505,445	kg	259.1 (m)	219.0 (m)				46		505445.1	17100.00	918.633
Total Site Weleding length (m)									478.1 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 18,000 (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	9	9	39.0	2827.4	8482.3	1	6,975		16,965		39.0	2827.4	8482.3	3	6975.32	20926.0	980.94	68.352
#2, 0	18	27	39.0	2827.4	7671	2	13,951	ø8171.8	30,684	5,796	39.0	2827.4	8482.3	3	6975.32	20926.0	980.94	68.352
#3, 3	18	45	39.0	2827.4	9996.5	4	24,710	ø12727.9	39,986		39.0	2827.4	9200	4	6177.57	24710.3	1655.1	80.713
#4, 4	14.5	59.5	39.0	8120.7	2277.7	6	31,095	ø15509.3	48,724	13,666	39.0	2436.2	9424.8	6	5182.51	31095.0	1796.11	101.568
#5, 5	61	120.5	40.0	2827.4	9679.7	20	162,216	ø18000		191,637	40.0	2827.4	9679.7	20	8110.81	162216.2	9135.7	516.612
#6, 8	14.5	135	40.0	8120.7	2277.7	6	31,892	ø15509.3	48,724	13,666	40.0	2436.2	9424.8	6	5315.39	31892.4	1796.11	101.568
#7, 9	18	153	40.5	2827.4	9996.5	4	25,661	ø12727.9	39,986		40.5	2827.4	9000	4	6415.17	25660.7	1655.1	80.713
#8, 10	18	171	40.5	2827.4	7671	2	14,487	ø8171.8	30,684	5,796	40.5	2827.4	8482.3	3	7243.60	21730.8	980.94	68.352
#9, 10	9	180	40.5	2827.4	8482.3	1	7,244		16,965		40.5	2827.4	8482.3	3	7243.60	21730.8	980.94	68.352
Total Quantity and Shell Weight						46	318,231	kg	272.7 (m)	230.6 (m)				46		318231.3	18000.00	1017.878
Total Site Weleding length (m)									503.3 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 18,000 (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	9	9	39.0	2827.4	8482.3	1	6,975		16,965		39.0	2827.4	8482.3	3	6975.32	20926.0	980.94	68.352
#2, 0	18	27	39.0	2827.4	7671	2	13,951	ø8171.8	30,684	5,796	39.0	2827.4	8482.3	3	6975.32	20926.0	980.94	68.352
#3, 3	18	45	39.0	2827.4	9996.5	4	24,710	ø12727.9	39,986		39.0	2827.4	9200	4	6177.57	24710.3	1655.1	80.713
#4, 4	14.5	59.5	39.0	8120.7	2277.7	6	31,095	ø15509.3	48,724	13,666	39.0	2436.2	9424.8	6	5182.51	31095.0	1796.11	101.568
#5, 5	61	120.5	40.0	2827.4	9679.7	20	162,216	ø18000		191,637	40.0	2827.4	9679.7	20	8110.81	162216.2	9135.7	516.612
#6, 8	14.5	135	40.0	8120.7	2277.7	6	31,892	ø15509.3	48,724	13,666	40.0	2436.2	9424.8	6	5315.39	31892.4	1796.11	101.568
#7, 9	18	153	40.5	2827.4	9996.5	4	25,661	ø12727.9	39,986		40.5	2827.4	9000	4	6415.17	25660.7	1655.1	80.713
#8, 10	18	171	40.5	2827.4	7671	2	14,487	ø8171.8	30,684	5,796	40.5	2827.4	8482.3	3	7243.60	21730.8	980.94	68.352
#9, 10	9	180	40.5	2827.4	8482.3	1	7,244		16,965		40.5	2827.4	8482.3	3	7243.60	21730.8	980.94	68.352
Total Quantity and Shell Weight						46	318,231	kg	272.7 (m)	230.6 (m)				46		318231.3	18000.00	1017.878
Total Site Weleding length (m)									503.3 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 25,000 (m), Material SA516-65, 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	6.4	6.4	78.0	2792.5	8377.6	1	13,608		16,755		78.0	2792.5	8377.6	3	13608.37	40825.1	695.3	66.675
#2, 0	12.8	19.2	78.0	2792.5	7943.1	2	27,217	ø8221.7	31,773	5,045	78.0	2792.5	8377.6	3	13608.37	40825.1	695.3	66.675
#3, 3	12.8	32	78.5	2792.5	10404.9	4	50,841	ø13248	41,620		78.5	2792.5	9567.7	4	12710.26	50841.0	1204.1	82.504
#4, 4	9.5	41.5	78.5	8673.7	2072.6	6	59,948	ø16565.5	52,042	12,435	78.5	1858.6	8726.6	9	6660.91	59948.2	1238.65	97.283
#5, 5	45.5	87	81.0	2801.1	9926.6	28	434,861	ø24965.7	78,432	277,944	81.0	2801.1	9970	28	15530.75	434861.0	8707.75	683.905
#6, 6	51.5	138.5	83.5	2805	11297.4	28	515,641	ø25000		314,596	83.5	2805	11297.4	28	18415.73	515640.6	10016.15	786.667
#7, 9	9.5	148	83.5	8673.7	2072.6	6	63,767	ø16565.5	52,042	12,435	83.5	1858.6	8726.6	9	7085.18	63766.6	1238.65	97.283
#8, 10	12.8	160.8	84.0	2792.5	10404.9	4	54,403	ø13248	41,620		84.0	2792.5	9367.7	4	13600.78	54403.1	1204.1	82.504
#9, 11	12.8	173.6	84.0	2792.5	7943.1	2	29,310	ø8221.7	31,773	5,045	84.0	2792.5	8377.6	3	14655.16	43965.5	695.3	66.675
#10, 11	6.4	180	84.0	2792.5	8377.6	1	14,655		16,755		84.0	2792.5	8377.6	3	14655.16	43965.5	695.3	66.675
Total Quantity and Shell Weight						82	1,264,251	kg	362.8 (m)	627.5 (m)				88		1264251.1	25000.00	1963.496
Total Site Weleding length (m)									990.3 (m)

myEQid[tid] = [ 5 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 11,000 (m), Material SA537-CL2, HEAD TYPE : WATER MELON

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	15	15	40.0	2879.8	8639.4	1	7,422		17,279		40.0	2879.8	8639.4	3	7421.60	22264.8	1610.91	70.907
#2, 0	30	45	40.0	2879.8	8434.5	2	14,843	ø7778.2	24,436		40.0	2879.8	8639.4	3	7421.60	22264.8	1610.91	70.907
#3, 3	90	135	40.5	2879.8	8830	12	85,457	ø11000		103,673	40.5	2879.8	8830	12	7121.39	85456.7	7778.18	268.795
#4, 6	30	165	40.5	2879.8	8434.5	2	15,029	ø7778.2	24,436		40.5	2879.8	8639.4	3	7514.37	22543.1	1610.91	70.907
#5, 6	15	180	40.5	2879.8	8639.4	1	7,514		17,279		40.5	2879.8	8639.4	3	7514.37	22543.1	1610.91	70.907
Total Quantity and Shell Weight						18	130,265	kg	83.4 (m)	103.7 (m)				18		130264.6	11000.00	410.609
Total Site Weleding length (m)									187.1 (m)

myEQid[tid] = [ 2 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 16,840 (m), Material SA516-70, 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	10	10	20.5	2939.1	8817.4	1	3,962		17,635		20.5	2939.1	8817.4	3	3961.92	11885.8	1128.07	73.859
#2, 0	20	30	20.5	2939.1	7807.8	2	7,924	ø8420	31,231	6,330	20.5	2939.1	8817.4	3	3961.92	11885.8	1128.07	73.859
#3, 3	20	50	20.5	2939.1	10131.8	4	13,721	ø12900.2	40,527		20.5	2939.1	9321.8	4	3430.24	13720.9	1879.66	85.263
#4, 4	16	66	21.0	8055.1	2351.3	6	17,334	ø15384.1	48,331	14,108	21.0	2685	8817.4	6	2889.00	17334.0	1987.55	105.150
#5, 5	64	130	22.5	2939.1	9521.5	18	82,575	ø16840		169,294	22.5	2939.1	9521.5	18	4587.50	82575.0	8836.99	467.516
#6, 8	20	150	23.0	2939.1	10131.8	4	15,394	ø12900.2	40,527		23.0	2939.1	9121.8	4	3848.56	15394.2	1879.66	85.263
#7, 9	20	170	23.0	2939.1	7807.8	2	8,890	ø8420	31,231	6,330	23.0	2939.1	8817.4	3	4445.08	13335.2	1128.07	73.859
#8, 9	10	180	23.0	2939.1	8817.4	1	4,445		17,635		23.0	2939.1	8817.4	3	4445.08	13335.2	1128.07	73.859
Total Quantity and Shell Weight						38	154,245	kg	227.1 (m)	196.1 (m)				38		154245.2	16840.00	890.91
Total Site Weleding length (m)									423.2 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 15,650 (m), Material SA516-70, 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	10	10	26.5	2731.4	8194.3	1	4,423		16,389		26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#2, 0	20	30	26.5	2731.4	7256.1	2	8,846	ø7825	29,024	5,883	26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#3, 3	20	50	26.5	2731.4	9415.8	4	15,319	ø11988.6	37,663		26.5	2731.4	8677.2	4	3829.69	15318.8	1746.84	73.639
#4, 4	16	66	26.5	7485.9	2185.2	6	18,892	ø14297	44,915	13,111	26.5	2495.3	8194.3	6	3148.60	18891.6	1847.1	90.814
#5, 5	64	130	26.5	2731.4	8848.6	18	83,996	ø15650		157,331	26.5	2731.4	8848.6	18	4666.42	83995.5	8212.52	403.776
#6, 8	20	150	26.5	2731.4	9415.8	4	15,319	ø11988.6	37,663		26.5	2731.4	8477.2	4	3829.69	15318.8	1746.84	73.639
#7, 9	20	170	26.5	2731.4	7256.1	2	8,846	ø7825	29,024	5,883	26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#8, 9	10	180	26.5	2731.4	8194.3	1	4,423		16,389		26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
Total Quantity and Shell Weight						38	160,064	kg	211.1 (m)	182.2 (m)				38		160064	15650.00	769.446
Total Site Weleding length (m)									393.3 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 12,000 (m), Material SA553-TYPE1, 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	10	10	13.5	2094.4	6283.2	1	1,325		12,566		13.5	2094.4	6283.2	3	1324.86	3974.6	803.85	37.505
#2, 0	20	30	13.5	2094.4	5563.8	2	2,650	ø6000	22,255	4,511	13.5	2094.4	6283.2	3	1324.86	3974.6	803.85	37.505
#3, 3	20	50	13.5	2094.4	7219.8	4	4,588	ø9192.5	28,879		13.5	2094.4	6700.1	4	1147.02	4588.1	1339.42	43.294
#4, 4	80	130	13.5	2692.8	8527.9	14	30,817	ø12000		117,286	13.5	2692.8	8527.9	14	2201.18	30816.6	7713.46	290.791
#5, 7	20	150	13.5	2094.4	7219.8	4	4,588	ø9192.5	28,879		13.5	2094.4	6500.1	4	1147.02	4588.1	1339.42	43.294
#6, 8	20	170	13.5	2094.4	5563.8	2	2,650	ø6000	22,255	4,511	13.5	2094.4	6283.2	3	1324.86	3974.6	803.85	37.505
#7, 8	10	180	13.5	2094.4	6283.2	1	1,325		12,566		13.5	2094.4	6283.2	3	1324.86	3974.6	803.85	37.505
Total Quantity and Shell Weight						28	47,942	kg	127.4 (m)	126.3 (m)				28		47941.9	12000.00	452.389
Total Site Weleding length (m)									253.7 (m)

myEQid[tid] = [ 3 ]
CalcRpt[tid][0].length() = [10] Bytes

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 9,000 (m), Material SA553-TYPE1, HEAD TYPE : WATER MELON

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	15	15	11.0	2356.2	7068.6	1	1,366		14,137		11.0	2356.2	7068.6	3	1366.26	4098.8	1318.02	47.467
#2, 0	30	45	11.0	2356.2	6901	2	2,733	ø6364	19,993		11.0	2356.2	7068.6	3	1366.26	4098.8	1318.02	47.467
#3, 3	90	135	11.0	2827.4	7294.3	10	15,538	ø9000		70,686	11.0	2827.4	7294.3	10	1553.76	15537.6	6363.96	179.937
#4, 6	30	165	11.0	2356.2	6901	2	2,733	ø6364	19,993		11.0	2356.2	7068.6	3	1366.26	4098.8	1318.02	47.467
#5, 6	15	180	11.0	2356.2	7068.6	1	1,366		14,137		11.0	2356.2	7068.6	3	1366.26	4098.8	1318.02	47.467
Total Quantity and Shell Weight						16	23,735	kg	68.3 (m)	70.7 (m)				16		23735.1	9000.00	274.871
Total Site Weleding length (m)									138.9 (m)

myEQid[tid] = [ 2 ]
CalcRpt[tid][0].length() = [10] Bytes
1. CAPACITY CALCULATION

탱크 공칭 및 저장용량

하중조건 (Loading Data)

TNO

Liquid
Name

DLL

Vnom

Vsto

Vhil

vRatio

탱크
표면적

4.Empty
Steel

5,저장
액체

6.운전
중량

7.수압
수중량

8.수압
테스트중량

ｍ³

(%)

Ton

SK-01

LH2

0.071

14,100

11,339

1467.76

1320.97

146.8

10 (%)

624.58

169.19

93.79

262.98

1467.76

1636.95

SK-02

LH2

0.649

17,100

14,500

2618.1

2454.93

163.17

6.2 (%)

918.63

535.66

1593.25

2128.91

2618.1

3153.77

T-3208(3)

Crude C4

0.625

18,000

14,500

3053.63

2752.17

301.46

9.9 (%)

1017.88

347.67

1720.1

2067.77

3053.63

3401.29

T-3213(3)

HP Petrochemical

0.596

18,000

14,500

3053.63

2752.17

301.46

9.9 (%)

1017.88

347.67

1640.29

1987.96

3053.63

3401.29

TKK

Mixed C4

0.6

25,000

24,000

8181.23

8143.01

38.22

0.5 (%)

1963.5

1366.21

4885.81

6252.01

8181.23

9547.44

알제리

LPG

0.536

11,000

7,600

696.91

538.33

158.58

22.8 (%)

380.13

135.39

288.54

423.93

696.91

832.3

롯데 G1

0.646

16,840

13,480

2500.49

2241.58

258.91

10.4 (%)

890.91

178.67

1448.06

1626.73

2500.49

2679.16

말레이시아

1.3 BUTADIENE

0.6215

15,650

14,080

2006.97

1950.43

56.54

2.8 (%)

769.45

180.23

1212.19

1392.42

2006.97

2187.21

SN2388

LNG FUEL

0.5

12,000

10,740

904.78

876.95

27.83

3.1 (%)

452.39

55.12

438.47

493.6

904.78

959.9

SN2345

LNG FUEL

0.5

9,000

8,070

381.7

370.32

11.38

3 (%)

254.47

26.5

185.16

211.66

381.7

408.2

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( );
DESIGN DATA AND 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	SK-01	DIV. 1	LH2	0.071	14100	0	12000	11339	11.633	1.033227	-15	70	8	OK	SA240-316L	115.00	30 ~ 33	29.34	29.37	31.0	31.8	31.81	20.49	30	156.095	8 EA	10050	3020	7030	13780	36.8745	ø 711.2x7.62t	10	30 ~ 33	matid=14, Sd= 138.0 MPa, G5	58.98	62.18	63.81	63.82
2	SK-02	DIV. 1	LH2	0.649	17100	3.0	11550	14500	18.0	1.033227	-15	70	10	두께64mm초과Sd 확인필요!	SA516-60	118.00	68 ~ 71.5	70.32	70.42	53.22	53.83	56.27	27.49	46	505.445	10 EA	11550	3580	7970	16720	32.9544	ø 863.6x9.65t	12	68 ~ 71.5	matid=1, Sd= 118.0 MPa,	138.92	106.94	108.16	113.08
3	T-3208(3)	DIV. 2	Crude C4	0.625	18000	3.2	12000	14500	18.0	1.033227	-15	70	10	OK	SA537-CL2	230.00	39 ~ 40.5	39.49	39.56	27.24	27.79	30.44	26.69	46	318.231	10 EA	12000	3700	8300	17600	33.2354	ø 863.6x9.65t	12	39 ~ 40.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	76.07	54.56	55.67	60.99
4	T-3213(3)	DIV. 2	HP Petrochemical	0.596	18000	3.2	12000	14500	18.0	1.033227	-15	70	10	OK	SA537-CL2	230.00	39 ~ 40.5	39.41	39.48	27.24	27.84	30.44	26.69	46	318.231	10 EA	12000	3700	8300	17600	33.2354	ø 863.6x9.65t	12	39 ~ 40.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	75.91	54.56	55.77	60.99
5	TKK	DIV. 2	Mixed C4	0.6	25000	3.0	15500	24000	17.9	1.05	-10	87	14	두께64mm초과Sd 확인필요!	SA516-65	148.49	78 ~ 84	82.85	83.11	72.13	72.87	75.56	35.96	88	1,264.251	14 EA	15500	4730	10770	24530	26.8767	ø 1066.8x15.09t	13	78 ~ 84	matid=2, Sd= 148.486 MPa,	163.72	144.68	146.17	151.59
6	알제리	DIV. 1	LPG	0.536	11000	1.5	9000	7600	21.9239	1.05	-46	100	6	OK	SA537-CL2	158.00	40 ~ 40.5	39.63	39.68	21.39	21.84	22.77	17.01	18	130.265	6 EA	8500	2450	6050	10740	41.5924	ø 558.8x6.35t	8	40 ~ 40.5	matid=6, Sd= 158.0 MPa, t ≤ 64t	78.39	42.90	43.80	45.68
7	롯데 G1	DIV. 1	C4	0.646	16840	1.5	11420	13480	6.0	0.517	-15	80	10	OK	SA516-70	138.00	20.5 ~ 23	22.06	22.07	16.74	17.45	18.68	18.55	38	154.245	9 EA	11420	3580	7840	16430	35.6314	ø 863.6x9.65t	11	20.5 ~ 23	matid=3, Sd= 138.0 MPa,	42.74	33.52	34.95	37.42
8	말레이시아	DIV. 1	1.3 BUTADIENE	0.6215	15650	3.0	15350	14080	6.0	1.033227	-19	68	10	OK	SA516-70	138.00	26.5 ~ 26.5	22.12	22.13	15.36	18.71	22.88	25.42	38	160.064	9 EA	10825	3380	7445	15260	35.0319	ø 812.8x8.74t	11	26.5 ~ 26.5	matid=3, Sd= 138.0 MPa,	41.36	30.76	37.47	45.82

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : SK-01자재 중량표	Rev. No.	[AAA4]

(1/10) Tank No. : [SK-01] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 14100 mm, DLL = 11339 mm, CA = 0 mm, SG = 0.071, Pg = 1140.808 kPa, Pe = 101.325 kPa
, SA240-316L matid=14, Sd= 138.0 MPa, St= 184.5 MPa, Thick Limit : G5

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	0.0^o	0.0^o	14100.0	29.14	29.16	29.16	29.17	20.49	30.0	#1	33.0^o	SA240-316L	30.5	2707.0	8121.0	3	5,000	15,001	typ=0
	11.0^o	11.0^o	13970.5	29.14	29.16	29.18	29.19	20.49	30.0										typ=4
	22.0^o	33.0^o	12962.6	29.14	29.16	29.37	29.38	20.49	30.5										typ=4
2	22.0^o	55.0^o	11093.7	29.14	29.17	29.72	29.73	20.49	30.5	#2	22.0^o	SA240-316L	30.5	2707.0	8367.1	4	4,221	16,883	typ=3
3	35.0^o	90.0^o	7050.0	29.17	29.24	30.48	30.49	20.49	32.0	#3	70.0^o	SA240-316L	32.0	2768.5	8713.2	16	5,624	89,991	typ=1
3	35.0^o	125.0^o	3006.3	29.29	29.31	31.24	31.25	20.49	32.0	#3	70.0^o	SA240-316L	32.0	2768.5	8713.2	16	5,624	89,991	typ=4
4	22.0^o	147.0^o	1137.4	29.32	29.35	31.59	31.60	20.49	32.5	#4	22.0^o	SA240-316L	32.5	2707.0	8167.1	4	4,498	17,990	typ=3
5	22.0^o	169.0^o	129.5	29.34	29.36	31.78	31.78	20.49	33.0	#5	33.0^o	SA240-316L	33.0	2707.0	8121.0	3	5,410	16,230	typ=2
5	11.0^o	180.0^o	0.0	29.34	29.37	31.80	31.81	20.49	33.0	#5	33.0^o	SA240-316L	33.0	2707.0	8121.0	3	5,410	16,230	typ=4
Sub-Total																30	Sht	156,095	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO102]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : SK-02자재 중량표	Rev. No.	[AAA4]

(2/10) Tank No. : [SK-02] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 17100 mm, DLL = 14500 mm, CA = 3 mm, SG = 0.649, Pg = 1765.197 kPa, Pe = 101.325 kPa
, SA516-60 matid=1, Sd= 118.0 MPa, St= 198.0 MPa,

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	0.0^o	0.0^o	17100.0	66.97	67.07	50.20	52.65	27.49	68.0	#1	27.0^o	SA516-60	68.0	2686.1	8058.2	3	10,976	32,929	typ=0
	9.0^o	9.0^o	16994.7	66.97	67.07	50.22	52.67	27.49	68.0										typ=4
	18.0^o	27.0^o	16168.1	66.97	67.07	50.40	52.84	27.49	68.0										typ=4
2	18.0^o	45.0^o	14595.8	66.97	67.07	50.73	53.18	27.49	68.0	#2	18.0^o	SA516-60	68.0	2686.1	8750.0	4	9,721	38,884	typ=3
3	14.5^o	59.5^o	12889.4	67.35	67.44	51.09	53.54	27.49	68.5	#3	14.5^o	SA516-60	68.5	2314.4	8953.5	6	8,215	49,291	typ=3
4	30.5^o	90.0^o	8550.0	68.12	68.45	52.01	54.46	27.49	70.5	#4	61.0^o	SA516-60	70.5	2686.1	9202.8	20	12,901	258,029	typ=1
4	30.5^o	120.5^o	4210.6	69.35	69.45	52.93	55.38	27.49	70.5	#4	61.0^o	SA516-60	70.5	2686.1	9202.8	20	12,901	258,029	typ=4
5	14.5^o	135.0^o	2504.2	69.74	69.85	53.29	55.74	27.49	71.0	#5	14.5^o	SA516-60	71.0	2314.4	8953.5	6	8,515	51,089	typ=3
6	18.0^o	153.0^o	931.9	70.10	70.21	53.63	56.08	27.49	71.0	#6	18.0^o	SA516-60	71.0	2686.1	8550.0	4	10,150	40,599	typ=3
7	18.0^o	171.0^o	105.3	70.29	70.40	53.81	56.25	27.49	71.5	#7	27.0^o	SA516-60	71.5	2686.1	8058.2	3	11,541	34,624	typ=2
7	9.0^o	180.0^o	0.0	70.32	70.42	53.83	56.27	27.49	71.5	#7	27.0^o	SA516-60	71.5	2686.1	8058.2	3	11,541	34,624	typ=4
Sub-Total																46	Sht	505,445	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO103]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : T-3208(3)자재 중량표	Rev. No.	[AAA4]

(3/10) Tank No. : [T-3208(3)] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 18000 mm, DLL = 14500 mm, CA = 3.2 mm, SG = 0.625, Pg = 1765.197 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	0.0^o	0.0^o	18000.0	37.75	37.82	25.77	28.42	26.69	39.0	#1	27.0^o	SA537-CL2	39.0	2827.4	8482.3	3	6,975	20,926	typ=0
	9.0^o	9.0^o	17889.2	37.75	37.82	25.78	28.44	26.69	39.0										typ=4
	18.0^o	27.0^o	17019.1	37.75	37.82	25.88	28.53	26.69	39.0										typ=4
2	18.0^o	45.0^o	15364.0	37.75	37.82	26.07	28.72	26.69	39.0	#2	18.0^o	SA537-CL2	39.0	2827.4	9200.0	4	6,178	24,710	typ=3
3	14.5^o	59.5^o	13567.8	37.86	37.93	26.27	28.92	26.69	39.0	#3	14.5^o	SA537-CL2	39.0	2436.2	9424.8	6	5,183	31,095	typ=3
4	30.5^o	90.0^o	9000.0	38.30	38.48	26.78	29.43	26.69	40.0	#4	61.0^o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=1
4	30.5^o	120.5^o	4432.2	38.96	39.03	27.29	29.95	26.69	40.0	#4	61.0^o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=4
5	14.5^o	135.0^o	2636.0	39.17	39.24	27.50	30.15	26.69	40.0	#5	14.5^o	SA537-CL2	40.0	2436.2	9424.8	6	5,315	31,892	typ=3
6	18.0^o	153.0^o	980.9	39.37	39.44	27.68	30.33	26.69	40.5	#6	18.0^o	SA537-CL2	40.5	2827.4	9000.0	4	6,415	25,661	typ=3
7	18.0^o	171.0^o	110.8	39.48	39.55	27.78	30.43	26.69	40.5	#7	27.0^o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=2
7	9.0^o	180.0^o	0.0	39.49	39.56	27.79	30.44	26.69	40.5	#7	27.0^o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=4
Sub-Total																46	Sht	318,231	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO104]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : T-3213(3)자재 중량표	Rev. No.	[AAA4]

(4/10) Tank No. : [T-3213(3)] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 18000 mm, DLL = 14500 mm, CA = 3.2 mm, SG = 0.596, Pg = 1765.197 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	0.0^o	0.0^o	18000.0	37.75	37.82	25.82	28.42	26.69	39.0	#1	27.0^o	SA537-CL2	39.0	2827.4	8482.3	3	6,975	20,926	typ=0
	9.0^o	9.0^o	17889.2	37.75	37.82	25.83	28.44	26.69	39.0										typ=4
	18.0^o	27.0^o	17019.1	37.75	37.82	25.93	28.53	26.69	39.0										typ=4
2	18.0^o	45.0^o	15364.0	37.75	37.82	26.12	28.72	26.69	39.0	#2	18.0^o	SA537-CL2	39.0	2827.4	9200.0	4	6,178	24,710	typ=3
3	14.5^o	59.5^o	13567.8	37.86	37.92	26.32	28.92	26.69	39.0	#3	14.5^o	SA537-CL2	39.0	2436.2	9424.8	6	5,183	31,095	typ=3
4	30.5^o	90.0^o	9000.0	38.27	38.45	26.83	29.43	26.69	40.0	#4	61.0^o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=1
4	30.5^o	120.5^o	4432.2	38.90	38.97	27.34	29.95	26.69	40.0	#4	61.0^o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=4
5	14.5^o	135.0^o	2636.0	39.11	39.18	27.54	30.15	26.69	40.0	#5	14.5^o	SA537-CL2	40.0	2436.2	9424.8	6	5,315	31,892	typ=3
6	18.0^o	153.0^o	980.9	39.30	39.37	27.73	30.33	26.69	40.5	#6	18.0^o	SA537-CL2	40.5	2827.4	9000.0	4	6,415	25,661	typ=3
7	18.0^o	171.0^o	110.8	39.40	39.47	27.83	30.43	26.69	40.5	#7	27.0^o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=2
7	9.0^o	180.0^o	0.0	39.41	39.48	27.84	30.44	26.69	40.5	#7	27.0^o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=4
Sub-Total																46	Sht	318,231	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO105]

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

(5/10) Tank No. : [TKK] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 25000 mm, DLL = 24000 mm, CA = 3 mm, SG = 0.6, Pg = 1755.39 kPa, Pe = 102.97 kPa
, SA516-65 matid=2, Sd= 148.486 MPa, St= 228.0 MPa,

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	0.0^o	0.0^o	25000.0	76.91	77.12	66.11	68.80	35.96	78.0	#1	19.2^o	SA516-65	78.0	2792.5	8377.6	3	13,608	40,825	typ=0
	6.4^o	6.4^o	24922.1	76.91	77.12	66.14	68.83	35.96	78.0										typ=4
	12.8^o	19.2^o	24304.7	76.91	77.12	66.30	68.99	35.96	78.0										typ=4
2	12.8^o	32.0^o	23100.6	77.13	77.35	66.63	69.32	35.96	78.5	#2	12.8^o	SA516-65	78.5	2792.5	9567.7	4	12,710	50,841	typ=3
3	9.5^o	41.5^o	21862.0	77.44	77.66	66.96	69.65	35.96	78.5	#3	9.5^o	SA516-65	78.5	1858.6	8726.6	9	6,661	59,948	typ=3
4	45.5^o	87.0^o	13154.2	79.66	79.83	69.32	72.01	35.96	81.0	#4	45.5^o	SA516-65	81.0	2801.1	9970.0	28	15,531	434,861	typ=3
5	3.0^o	90.0^o	12500.0	79.41	79.99	69.49	72.18	35.96	83.5	#5	51.5^o	SA516-65	83.5	2805.0	11335.6	28	18,416	515,641	typ=1
5	48.5^o	138.5^o	3138.0	82.08	82.33	72.02	74.72	35.96	83.5	#5	51.5^o	SA516-65	83.5	2805.0	11335.6	28	18,416	515,641	typ=4
6	9.5^o	148.0^o	1899.4	82.38	82.64	72.36	75.05	35.96	83.5	#6	9.5^o	SA516-65	83.5	1858.6	8726.6	9	7,085	63,767	typ=3
7	12.8^o	160.8^o	695.3	82.68	82.93	72.68	75.37	35.96	84.0	#7	12.8^o	SA516-65	84.0	2792.5	9367.7	4	13,601	54,403	typ=3
8	12.8^o	173.6^o	77.9	82.83	83.09	72.85	75.54	35.96	84.0	#8	19.2^o	SA516-65	84.0	2792.5	8377.6	3	14,655	43,965	typ=2
8	6.4^o	180.0^o	0.0	82.85	83.11	72.87	75.56	35.96	84.0	#8	19.2^o	SA516-65	84.0	2792.5	8377.6	3	14,655	43,965	typ=4
Sub-Total																88	Sht	1,264,251	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO106]

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

(6/10) Tank No. : [알제리] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 11000 mm, DLL = 7600 mm, CA = 1.5 mm, SG = 0.536, Pg = 2150 kPa, Pe = 102.97 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

deg.

SHT

kg/sht

0.0^o

11000.0

38.93

38.98

21.04

21.98

17.01

40.0

45.0^o

SA537-CL2

40.0

2879.8

8639.4

7,422

22,265

typ=0

15.0^o

10812.6

38.93

38.98

21.05

21.99

17.01

40.0

typ=4

30.0^o

45.0^o

9389.1

38.93

38.98

21.16

22.09

17.01

40.0

typ=4

45.0^o

90.0^o

5500.0

39.18

39.17

21.44

22.37

17.01

40.5

90.0^o

SA537-CL2

40.5

2879.8

8739.4

7,121

85,457

typ=1

45.0^o

135.0^o

1610.9

39.48

39.53

21.72

22.66

17.01

40.5

typ=4

30.0^o

165.0^o

187.4

39.61

39.66

21.82

22.76

17.01

40.5

45.0^o

SA537-CL2

40.5

2879.8

8639.4

7,514

22,543

typ=2

15.0^o

180.0^o

0.0

39.63

39.68

21.84

22.77

17.01

40.5

typ=4

Sub-Total

Sht

130,265

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO107]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 롯데 G1자재 중량표	Rev. No.	[AAA4]

(7/10) Tank No. : [롯데 G1] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 16840 mm, DLL = 13480 mm, CA = 1.5 mm, SG = 0.646, Pg = 588.399 kPa, Pe = 50.7 kPa
, SA516-70 matid=3, Sd= 138.0 MPa, St= 234.0 MPa,

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	0.0^o	0.0^o	16840.0	19.45	19.46	14.48	15.71	18.55	20.5	#1	30.0^o	SA516-70	20.5	2939.1	8817.4	3	3,962	11,886	typ=0
	10.0^o	10.0^o	16712.1	19.45	19.46	14.50	15.74	18.55	20.5										typ=4
	20.0^o	30.0^o	15711.9	19.45	19.46	14.68	15.91	18.55	20.5										typ=4
2	20.0^o	50.0^o	13832.3	19.45	19.46	15.01	16.24	18.55	20.5	#2	20.0^o	SA516-70	20.5	2939.1	9321.8	4	3,430	13,721	typ=3
3	16.0^o	66.0^o	11844.7	19.78	19.78	15.36	16.59	18.55	21.0	#3	16.0^o	SA516-70	21.0	2685.0	8817.4	6	2,889	17,334	typ=3
4	24.0^o	90.0^o	8420.0	20.68	20.44	15.97	17.20	18.55	22.5	#4	64.0^o	SA516-70	22.5	2939.1	9505.2	18	4,588	82,575	typ=1
4	40.0^o	130.0^o	3007.7	21.49	21.49	16.92	18.15	18.55	22.5	#4	64.0^o	SA516-70	22.5	2939.1	9505.2	18	4,588	82,575	typ=4
5	20.0^o	150.0^o	1128.1	21.84	21.85	17.25	18.49	18.55	23.0	#5	20.0^o	SA516-70	23.0	2939.1	9121.8	4	3,849	15,394	typ=3
6	20.0^o	170.0^o	127.9	22.03	22.05	17.43	18.66	18.55	23.0	#6	30.0^o	SA516-70	23.0	2939.1	8817.4	3	4,445	13,335	typ=2
6	10.0^o	180.0^o	0.0	22.06	22.07	17.45	18.68	18.55	23.0	#6	30.0^o	SA516-70	23.0	2939.1	8817.4	3	4,445	13,335	typ=4
Sub-Total																38	Sht	154,245	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO108]

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

(8/10) Tank No. : [말레이시아] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 15650 mm, DLL = 14080 mm, CA = 3 mm, SG = 0.6215, Pg = 588.399 kPa, Pe = 101.325 kPa
, SA516-70 matid=3, Sd= 138.0 MPa, St= 234.0 MPa,

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	0.0^o	0.0^o	15650.0	19.69	19.70	16.14	20.31	25.42	26.5	#1	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=0
	10.0^o	10.0^o	15531.1	19.69	19.70	16.16	20.33	25.42	26.5										typ=4
	20.0^o	30.0^o	14601.6	19.69	19.70	16.31	20.48	25.42	26.5										typ=4
2	20.0^o	50.0^o	12854.8	19.90	19.91	16.60	20.77	25.42	26.5	#2	20.0^o	SA516-70	26.5	2731.4	8677.2	4	3,830	15,319	typ=3
3	16.0^o	66.0^o	11007.7	20.23	20.23	16.90	21.07	25.42	26.5	#3	16.0^o	SA516-70	26.5	2495.3	8194.3	6	3,149	18,892	typ=3
4	24.0^o	90.0^o	7825.0	20.99	20.78	17.42	21.59	25.42	26.5	#4	64.0^o	SA516-70	26.5	2731.4	8840.6	18	4,666	83,996	typ=1
4	40.0^o	130.0^o	2795.2	21.64	21.65	18.25	22.42	25.42	26.5	#4	64.0^o	SA516-70	26.5	2731.4	8840.6	18	4,666	83,996	typ=4
5	20.0^o	150.0^o	1048.4	21.94	21.95	18.53	22.70	25.42	26.5	#5	20.0^o	SA516-70	26.5	2731.4	8477.2	4	3,830	15,319	typ=3
6	20.0^o	170.0^o	118.9	22.10	22.11	18.69	22.86	25.42	26.5	#6	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=2
6	10.0^o	180.0^o	0.0	22.12	22.13	18.71	22.88	25.42	26.5	#6	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=4
Sub-Total																38	Sht	160,064	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO109]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : SN2388자재 중량표	Rev. No.	[AAA4]

(9/10) Tank No. : [SN2388] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 12000 mm, DLL = 10740 mm, CA = 1 mm, SG = 0.5, Pg = 497.8 kPa, Pe = 44.13 kPa
, SA553-TYPE1 matid=0, Sd= -99.999 MPa, St= -99.999 MPa,

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	0.0^o	0.0^o	12000.0	0.00	0.00	0.00	0.00	12.30	13.5	#1	30.0^o	SA553-TYPE1	13.5	2094.4	6283.2	3	1,325	3,975	typ=0
	10.0^o	10.0^o	11908.8	0.00	0.00	0.00	0.00	12.30	13.5										typ=4
	20.0^o	30.0^o	11196.2	0.00	0.00	0.00	0.00	12.30	13.5										typ=4
2	20.0^o	50.0^o	9856.7	0.00	0.00	0.00	0.00	12.30	13.5	#2	20.0^o	SA553-TYPE1	13.5	2094.4	6700.1	4	1,147	4,588	typ=3
3	40.0^o	90.0^o	6000.0	0.00	0.00	0.00	0.00	12.30	13.5	#3	80.0^o	SA553-TYPE1	13.5	2692.8	8477.6	14	2,201	30,817	typ=1
3	40.0^o	130.0^o	2143.3	0.00	0.00	0.00	0.00	12.30	13.5	#3	80.0^o	SA553-TYPE1	13.5	2692.8	8477.6	14	2,201	30,817	typ=4
4	20.0^o	150.0^o	803.8	0.00	0.00	0.00	0.00	12.30	13.5	#4	20.0^o	SA553-TYPE1	13.5	2094.4	6500.1	4	1,147	4,588	typ=3
5	20.0^o	170.0^o	91.2	0.00	0.00	0.00	0.00	12.30	13.5	#5	30.0^o	SA553-TYPE1	13.5	2094.4	6283.2	3	1,325	3,975	typ=2
5	10.0^o	180.0^o	0.0	0.00	0.00	0.00	0.00	12.30	13.5	#5	30.0^o	SA553-TYPE1	13.5	2094.4	6283.2	3	1,325	3,975	typ=4
Sub-Total																28	Sht	47,942	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO110]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : SN2345자재 중량표	Rev. No.	[AAA4]

(10/10) Tank No. : [SN2345] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 9000 mm, DLL = 8070 mm, CA = 1 mm, SG = 0.5, Pg = 497.8 kPa, Pe = 44.13 kPa
, SA553-TYPE1 matid=0, Sd= -99.999 MPa, St= -99.999 MPa,

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	0.0^o	0.0^o	9000.0	0.00	0.00	0.00	0.00	10.00	11.0	#1	45.0^o	SA553-TYPE1	11.0	2356.2	7068.6	3	1,366	4,099	typ=0
	15.0^o	15.0^o	8846.7	0.00	0.00	0.00	0.00	10.00	11.0										typ=4
	30.0^o	45.0^o	7682.0	0.00	0.00	0.00	0.00	10.00	11.0										typ=4
2	45.0^o	90.0^o	4500.0	0.00	0.00	0.00	0.00	10.00	11.0	#2	90.0^o	SA553-TYPE1	11.0	2827.4	7168.6	10	1,554	15,538	typ=1
2	45.0^o	135.0^o	1318.0	0.00	0.00	0.00	0.00	10.00	11.0	#2	90.0^o	SA553-TYPE1	11.0	2827.4	7168.6	10	1,554	15,538	typ=4
3	30.0^o	165.0^o	153.3	0.00	0.00	0.00	0.00	10.00	11.0	#3	45.0^o	SA553-TYPE1	11.0	2356.2	7068.6	3	1,366	4,099	typ=2
3	15.0^o	180.0^o	0.0	0.00	0.00	0.00	0.00	10.00	11.0	#3	45.0^o	SA553-TYPE1	11.0	2356.2	7068.6	3	1,366	4,099	typ=4
Sub-Total																16	Sht	23,735	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. SK-01	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 14100 mm, CA = 0 mm, SG = 0.071, Pg= 11.633 kg/cm2(=1140.808 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1525.6 kPa
Material : SA240-316L, EXTERNAL CHART NO. [HA-2], DTEMP = 70 ℃, Sd = 138 MPa, St = 184.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 515 MPa, Fy = 205 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	0^o	14100.0	0	0	1140.8	1140.8	29.14	29.16	30.0	0.7+0.14	1.1735	1.1735			1.0	σeq = 134.044	1 / 10
P1	11.0^o	11.0^o	13970.5	0	0		1140.8	29.14	29.16	30.0	0.7+0.11	1.1735	1.1735			1.0	σeq = 134.044	2 / 10
P2	22.0^o	33.0^o	12962.6	0	0		1140.8	29.14	29.16	30.5	0.7+0.42	1.1735	1.1735			1.0	σeq = 134.044	3 / 10
P3	22.0^o	55.0^o	11093.7	245.3	0.2		1141.0	29.14	29.17	30.5	0.7+0.07	1.1733	1.1735			1.0	σeq = 134.064	4 / 10
P4	35.0^o	90.0^o	7050.0	4289.0	3.0		1143.8	29.17	29.24	32.0	0.7+0.32	1.1900	1.1930			1.0	σeq = 134.2	5 / 10
P4	35.0^o	125.0^o	3006.3	8332.7	5.8		1146.6	29.29	29.31	32.0	0.7+0.06	1.2263	1.2321			1.0	σeq = 132.517	7 / 10
P5	22.0^o	147.0^o	1137.4	10201.6	7.1		1147.9	29.32	29.35	32.5	0.7+0.21	1.2445	1.2516			1.0	σeq = 132.668	8 / 10
P6	22.0^o	169.0^o	129.5	11209.5	7.8		1148.6	29.34	29.36	33.0	0.7+0.52	1.2438	1.2516			1.0	σeq = 132.749	9 / 10
P7	11.0^o	180.0^o	0	11339.0	7.9		1148.7	29.34	29.37	33.0	0.7+0.50	1.2437	1.2516	1.1733	1.1735	1.0	σeq = 132.759	10 / 10

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 =	1.1408	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.1733	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.1735	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. SK-01	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 14100 mm, CA = 0 mm, SG = 0.071, Pg= 11.633 kg/cm2(=1140.808 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1525.3 kPa
Material : SA240-316L, EXTERNAL CHART NO. [HA-2], DTEMP = 70 ℃, Sd = 138 MPa, St = 184.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 515 MPa, Fy = 205 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	0^o	14100.0	0	0	1525.3	1525.3	28.35	29.16	29.17	30.0	1.1735	1.1735	σeq = 174.84	1 / 10
P1	11.0^o	11.0^o	13970.5	129.5	1.3		1526.6	28.38	29.18	29.19	30.0	1.1735	1.1735	σeq = 175.035	2 / 10
P2	22.0^o	33.0^o	12962.6	1137.4	11.2		1536.5	28.57	29.37	29.38	30.5	1.1735	1.1735	σeq = 176.556	3 / 10
P3	22.0^o	55.0^o	11093.7	3006.3	29.5		1554.8	28.92	29.72	29.73	30.5	1.1733	1.1735	σeq = 175.592	4 / 10
P4	35.0^o	90.0^o	7050.0	7050.0	69.1		1594.4	29.67	30.48	30.49	32.0	1.1900	1.1930	σeq = 176.008	5 / 10
P4	35.0^o	125.0^o	3006.3	11093.7	108.8		1634.1	30.43	31.24	31.25	32.0	1.2263	1.2321	σeq = 176.236	7 / 10
P5	22.0^o	147.0^o	1137.4	12962.6	127.1		1652.4	30.78	31.59	31.60	32.5	1.2445	1.2516	σeq = 178.782	8 / 10
P6	22.0^o	169.0^o	129.5	13970.5	137.0		1662.3	30.97	31.78	31.78	33.0	1.2438	1.2516	σeq = 176.638	9 / 10
P7	11.0^o	180.0^o	0	14100.0	138.3		1663.6	31.00	31.80	31.81	33.0	1.2437	1.2516	σeq = 176.813	10 / 10

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 =

1.1408

at Site

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

Pset(MAWP) =

1.4830

15.1229

CASE 2

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

MAWP =

1.1733

at Site

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

Pset(MAWP) =

1.5253

15.5537

CASE 3

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

MAP =

1.1735

at Shop

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

Pset(MAP) =

1.5256

15.5568

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. SK-01	Rev. No.	[AAA4]

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	0^o	14100.0	0	0	14100.0	0	0	30.00	30.0	1.1735	1.1735	216.5922	1 / 10
P1	11.0^o	11.0^o	13970.5	0	0	13970.5	129.5	1.3	30.00	30.0	1.1735	1.1735	216.5922	2 / 10
P2	22.0^o	33.0^o	12962.6	0	0	12962.6	1137.4	11.2	30.50	30.5	1.1735	1.1735	216.5922	3 / 10
P3	22.0^o	55.0^o	11093.7	245.3	0.2	11093.7	3006.3	29.5	30.50	30.5	1.1733	1.1735	216.5922	4 / 10
P4	35.0^o	90.0^o	7050.0	4289.0	3.0	7050.0	7050.0	69.1	31.50	31.5	1.1900	1.1930	223.8384	5 / 10
P4	35.0^o	125.0^o	3006.3	8332.7	5.8	3006.3	11093.7	108.8	32.00	32.0	1.2263	1.2321	238.6852	7 / 10
P5	22.0^o	147.0^o	1137.4	10201.6	7.1	1137.4	12962.6	127.1	32.50	32.5	1.2445	1.2516	246.2858	8 / 10
P6	22.0^o	169.0^o	129.5	11209.5	7.8	129.5	13970.5	137.0	33.00	33.0	1.2438	1.2516	246.2858	9 / 10
P7	11.0^o	180.0^o	0	11339.0	7.9	0	14100.0	138.3	33.00	33.0	1.2437	1.2516	246.2858	10 / 10

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 =

1.1408

at Site

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

Pset(MAWP) =

1.4830

15.1229

CASE 2

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

MAWP =

1.1733

at Site

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

Pset(MAWP) =

1.5253

15.5537

CASE 3

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

MAP =

1.1735

at Shop

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

Pset(MAP) =

1.5256

15.5568

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA240-316L

Maximum. Allowable External Pressure

MAEP =

216.5922

2.2086

HA-2

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=216.5922 kPa)

● Shell Material	MATL =	SA240-316L
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	205.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	184.5	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) HA-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	30.0	mm
Outside Radius of tank top head	Ro =	7080.0	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0005297
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.HA-2)	Factor B =	51.11577	MPa
Design External Pressure, 　Pe = 1.03323 (kg/cm²)	Pe =	101.3250	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	216.5922	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. SK-01	Rev. No.	[AAA4]

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	0^o	29.14	29.2	29.16	29.17	20.49	30.0	0.7+0.14	#1	33.0	30.5	2707.0	8121.0	3	5,000	15,001	1 / 10
P1	11.0^o	11.0^o	29.14	29.2	29.18	29.19	20.49	30.0	0.7+0.12									2 / 10
P2	22.0^o	33.0^o	29.14	29.2	29.37	29.38	20.49	30.5	0.7+0.43									3 / 10
P3	22.0^o	55.0^o	29.14	29.2	29.72	29.73	20.49	30.5	0.7+0.08	#2	22.0	30.5	2707.0	8367.1	4	4,221	16,883	4 / 10
P4	35.0^o	90.0^o	29.17	29.2	30.48	30.49	20.49	32.0	0.7+0.32	#3	70.0	32.0	2768.5	8713.2	16	5,624	89,991	5 / 10
P4	35.0^o	125.0^o	29.29	29.3	31.24	31.25	20.49	32.0	0.7+0.06	#3	70.0	32.0	2768.5	8713.2	16	5,624	89,991	7 / 10
P5	22.0^o	147.0^o	29.32	29.4	31.59	31.60	20.49	32.5	0.7+0.21	#4	22.0	32.5	2707.0	8167.1	4	4,498	17,990	8 / 10
P6	22.0^o	169.0^o	29.34	29.4	31.78	31.78	20.49	33.0	0.7+0.52	#5	33.0	33.0	2707.0	8121.0	3	5,410	16,230	9 / 10
P7	11.0^o	180.0^o	29.34	29.4	31.80	31.81	20.49	33.0	0.7+0.50	#5	33.0	33.0	2707.0	8121.0	3	5,410	16,230	10 / 10

], CalcRpt[i][1]=[Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 20.49 mm; Pe :101.32 kPa ≤ Pa = 101.34 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003622; Factor_B = 34.968 MPa

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=14100 (cm), Sd=138 MPa, Pg=1.1408 (MPa), HT_UPPCOL = 30300.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=19.755 (N-mm), Nφ=1.299 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

14100

1410.0

　R = Inside Radius in Corroded Condition

R =

7050

705.0

　L = Design Liquid level

L =

11339

1133.9

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

2,386,237

243328.5

　S = Allowable Stress for the Design Condition SA240-316L, Sd = 138MPa

S =

138.0

MPa

1407.208

Kg/cm²

　P = Design internal GAS Pressure

P =

1.141

MPa

11.633

Kg/cm²

　SG = Design Specific Gravity

SG =

0.071

　γ = Liquid Density

γ =

6.962722E-7

N/mm³

71.0

Kg/m³

　d = Outsdie diameter of Column

d =

711.2

71.12

　N = Number of Support Column

N =

8.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.45406

degree

0.44426

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

52.52835

degree

0.91679

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9936876

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1473029

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4297872

　C5 = 22 / φ

C5 =

0.8643023

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4297872

Calculation Result :

　PM = P×R/2

PM =

4021.32

N-mm

41.006

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

19.755

N-mm

0.201

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

1.299

N-mm

0.013

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

4078.57

N/mm

4158.984

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

3970.24

N/mm

4048.518

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

29.37

2.937

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

29.17

2.917

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

132.0

MPa

1346.025

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

136,513,636

N-mm

1392.052×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

49,635,713

N-mm

506.143×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

68,787,406

N-mm

701.436×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

22,741,299

N-mm

231.897×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

50.254

N/mm

51.245

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

78,704,704

N-mm

802.565×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

42,262,031

N-mm

430.953×10³

Kg-cm

　Za = IH / LA × t

Za =

47,767,167

mm³

47.767×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

2,412,506,686

mm³

2412.507×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.3866E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.234945E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1540.419

154.042

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

12.763

N/mm

13.015

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

7,281,323

N-mm

74248.835

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

3,668,962

N-mm

37413.001

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

570,493

mm³

5704.932

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

130,999,746

mm³

131.0×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

229.625

22.963

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

454.717

45.472

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

52.38

N/mm

53.413

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

36.603

N/mm

37.325

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

227,391

23187.4

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

5578.428

568.8

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6060.0

606.0

piDeg=[25.454058240185077] piRad=[0.4442571242856232] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=14100 (cm), Sd=138 MPa, Pg=1.1408 (MPa), HT_UPPCOL = 30300.0 (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 의한 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	τ_xy	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	14100.0	0	0	1.1408	4021.32							4021.32	4021.32	134.04	< OK	138	29.14	29.16	30.0	0.02	2.87	0	0	0	0
P1	11	13970.5	0	0	1.1408	4021.32							4021.32	4021.32	134.04	< OK	138	29.14	29.16	30.0	0.02	2.87	0	0	0	0
P2	33	12962.6	0	0	1.1408	4021.32							4021.32	4021.32	134.04	< OK	138	29.14	29.16	30.0	0.02	2.87	0	0	0	0
P3	55	11093.7	245.3	0.0002	1.141	4021.32	1.19	0.02					4022.51	4021.34	134.06	< OK	138	29.14	29.17	30.0	0.03	2.85	0.206	0.003	0.034	0.001
P4	90	7050.0	4289.0	0.0030	1.1438	4021.32	19.75	1.30	50.25	12.76	52.38	36.60	4078.57	3970.24	134.20	< OK	138	29.17	29.24	30.0	0.07	2.75	3.425	0.225	0.571	0.038	Column Attached Equator Plate
P4	125	3006.3	8332.7	0.0058	1.1466	4021.32	16.43	24.47					4037.75	4045.79	132.52	< OK	138	29.29	29.31	30.5	0.02	3.97	2.848	4.243	0.475	0.707
P5	147	1137.4	10201.6	0.0071	1.1479	4021.32	23.60	26.48					4044.92	4047.80	132.67	< OK	138	29.32	29.35	30.5	0.03	3.86	4.092	4.59	0.682	0.765
P6	169	129.5	11209.5	0.0078	1.1486	4021.32	27.35	27.67					4048.67	4048.99	132.75	< OK	138	29.34	29.36	30.5	0.02	3.81	4.742	4.798	0.79	0.8
P7	180	0	11339.0	0.0079	1.1487	4021.32	27.83	27.83					4049.15	4049.15	132.76	< OK	138	29.34	29.37	30.5	0.03	3.80	4.825	4.825	0.804	0.804

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=14100 (cm), Syt=184.5 MPa, MAWP=1.48304 (MPa), HT_UPPCOL = 30200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=406.179 (N-mm), Nφ=81.236 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

14100

1410.0

　R = Inside Radius in Corroded Condition

R =

7050

705.0

　L = Hydrostatic-test Water Level

L =

14100

1410.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

15,932,453

1624658.1

　S = Allowable Stress for the Design Condition SA240-316L, Sd = 184.5MPa

S =

184.5

MPa

1881.376

Kg/cm²

　P = Design internal GAS Pressure

P =

1.141

MPa

11.633

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

711.2

71.12

　N = Number of Support Column

N =

8.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.36408

degree

0.44269

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9938635

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1435164

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4283688

　C5 = 22 / φ

C5 =

0.8673682

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4283688

Calculation Result :

　PM = P×R/2

PM =

4021.32

N-mm

41.006

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

406.179

N-mm

4.142

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

81.236

N-mm

0.828

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

4679.22

N/mm

4771.476

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

3751.59

N/mm

3825.557

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

24.45

2.445

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

23.37

2.337

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

169.106

MPa

1724.401

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

911,475,571

N-mm

9294.464×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

332,575,174

N-mm

3391.323×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

459,280,420

N-mm

4683.357×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

152,283,480

N-mm

1552.859×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

337.87

N/mm

344.532

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

525,577,100

N-mm

5359.395×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

282,323,372

N-mm

2878.897×10³

Kg-cm

　Za = IH / LA × t

Za =

49,777,871

mm³

49.778×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

2,388,019,925

mm³

2388.02×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.3448E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.158993E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1535.153

153.515

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

86.152

N/mm

87.851

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

48,636,057

N-mm

495.95×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

24,507,062

N-mm

249.902×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

564,538

mm³

5645.381

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

128,726,449

mm³

128.726×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

228.021

22.802

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

451.571

45.157

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

350.97

N/mm

357.89

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

244.936

N/mm

249.765

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,516,399

154629.6

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

36987.563

3771.7

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6040.0

604.0

piDeg=[25.364084196882008] piRad=[0.4426867809886527] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=14100 (cm), Syt=184.5 MPa, MAWP=1.48304 (MPa), HT_UPPCOL = 30200.0 (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 의한 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	τ_xy	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	14100.0	0	0	1.1408	4021.32							4021.32	4021.32	174.84	< OK	184.5	21.80	21.81	23.0	0.01	5.24	0	0	0	0
P1	11	13970.5	129.5	0.0013	1.1421	4021.32	6.72	2.23					4028.04	4023.55	175.04	< OK	184.5	21.82	21.83	23.0	0.01	5.13	0.083	0.027	0.014	0.005
P2	33	12962.6	1137.4	0.0112	1.152	4021.32	59.55	19.08					4080.87	4040.40	176.56	< OK	184.5	22.01	22.02	23.0	0.01	4.31	0.733	0.235	0.122	0.039
P3	55	11093.7	3006.3	0.0295	1.1703	4021.32	160.58	47.27					4181.90	4068.59	175.59	< OK	184.5	22.37	22.37	23.5		4.83	1.977	0.582	0.329	0.097
P4	90	7050.0	7050.0	0.0691	1.2099	4021.32	406.18	81.24	337.87	86.15	350.97	244.94	4679.22	3751.59	176.01	< OK	184.5	23.37	23.13	24.5	-0.24	4.60	5	1	0.833	0.167	Column Attached Equator Plate
P4	125	3006.3	11093.7	0.1088	1.2496	4021.32	326.84	440.15					4348.16	4461.47	176.24	< OK	184.5	23.88	23.89	25.0	0.01	4.48	4.023	5.418	0.671	0.903
P5	147	1137.4	12962.6	0.1271	1.2679	4021.32	427.86	468.33					4449.18	4489.65	178.78	< OK	184.5	24.23	24.24	25.0	0.01	3.10	5.267	5.765	0.878	0.961
P6	169	129.5	13970.5	0.1370	1.2778	4021.32	480.69	485.18					4502.01	4506.50	176.64	< OK	184.5	24.41	24.43	25.5	0.02	4.26	5.917	5.973	0.986	0.995
P7	180	0	14100.0	0.1383	1.2791	4021.32	487.42	487.42					4508.74	4508.74	176.81	< OK	184.5	24.44	24.45	25.5	0.01	4.17	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])= 30
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 156095.045
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 14100
MRA(sWt[tid][20][10])= 624.58
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 =	8	Columns
2. gCol[tid][2] =	Column OD	OD =	711.2	mm
3. gCol[tid][3] =	Column thk	thk =	7.62	mm
4. gCol[tid][4] =	Tank Height	Htank =	10050	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3020	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7030	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	13780	mm
8. gCol[tid][8] =	Brace Angle	BRang =	36.8745	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.23	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	SA240-316L	t30.5 ~ 32.5	SHT	30	156.095	190.436	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t32.5, t10×2534×3020	SHT	8	5.656	6.222	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø711.2×7.62t × 7030L	PCS	8	7.435	7.435	000,000	000,000	3
4	BRACE ( PIPE, θ= 36.8745 deg.)	null	Ø0×0t × 8788L	PCS	16			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:SA240-316L(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)	SA240-316L	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				62	169.186	204.093	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. SK-02	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 17100 mm, CA = 3 mm, SG = 0.649, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2328 kPa
Material : SA516-60, EXTERNAL CHART NO. [CS-2], DTEMP = 70 ℃, Sd = 118 MPa, St = 198 MPa, Samb = 118 MPa, LSR = Samb/Sd = 1.0, Ft = 415 MPa, Fy = 220 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	0^o	17106.0	0	0	1765.2	1765.2	66.97	67.07	68.0	0.7+0.23	1.7908	1.8740			1.0	σeq = 116.137	1 / 12
P1	9.0^o	9.0^o	17000.7	0	0		1765.2	66.97	67.07	68.0	0.7+0.23	1.7908	1.8740			1.0	σeq = 116.137	2 / 12
P2	18.0^o	27.0^o	16173.8	0	0		1765.2	66.97	67.07	68.0	0.7+0.23	1.7908	1.8740			1.0	σeq = 116.137	3 / 12
P3	18.0^o	45.0^o	14600.9	0	0		1765.2	66.97	67.07	68.0	0.7+0.23	1.7908	1.8740			1.0	σeq = 116.137	4 / 12
P4	14.5^o	59.5^o	12894.0	1609.0	10.2		1775.4	67.35	67.44	68.5	0.7+0.36	1.7944	1.8877			1.0	σeq = 115.923	5 / 12
P5	30.5^o	90.0^o	8553.0	5950.0	37.9		1803.1	68.12	68.45	70.5	0.7+0.35	1.7942	1.9152			1.0	σeq = 116.423	6 / 12
P5	30.5^o	120.5^o	4212.0	10291.0	65.5		1830.7	69.35	69.45	70.5	0.7+0.35	1.7941	1.9428			1.0	σeq = 115.996	8 / 12
P6	14.5^o	135.0^o	2505.1	11997.9	76.4		1841.6	69.74	69.85	71.0	0.7+0.45	1.7969	1.9565			1.0	σeq = 115.819	9 / 12
P7	18.0^o	153.0^o	932.2	13570.8	86.4		1851.6	70.10	70.21	71.0	0.7+0.09	1.7869	1.9565			1.0	σeq = 116.445	10 / 12
P8	18.0^o	171.0^o	105.3	14397.7	91.6		1856.8	70.29	70.40	71.5	0.7+0.40	1.7955	1.9703			1.0	σeq = 115.923	11 / 12
P9	9.0^o	180.0^o	0	14503.0	92.3		1857.5	70.32	70.42	71.5	0.7+0.38	1.7948	1.9703	1.7869	1.874	1.0	σeq = 115.965	12 / 12

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 =	1.7652	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.7869	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.8740	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. SK-02	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 17100 mm, CA = 3 mm, SG = 0.649, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2323 kPa
Material : SA516-60, EXTERNAL CHART NO. [CS-2], DTEMP = 70 ℃, Sd = 118 MPa, St = 198 MPa, Samb = 118 MPa, LSR = Samb/Sd = 1.0, Ft = 415 MPa, Fy = 220 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	0^o	17100.0	0	0	2323.0	2323.0	49.59	50.20	52.65	68.0	1.7908	1.8740	σeq = 193.493	1 / 12
P1	9.0^o	9.0^o	16994.7	105.3	1.0		2324.0	49.61	50.22	52.67	68.0	1.7908	1.8740	σeq = 193.606	2 / 12
P2	18.0^o	27.0^o	16168.1	931.9	9.1		2332.1	49.79	50.40	52.84	68.0	1.7908	1.8740	σeq = 192.035	3 / 12
P3	18.0^o	45.0^o	14595.8	2504.2	24.6		2347.6	50.12	50.73	53.18	68.0	1.7908	1.8740	σeq = 193.717	4 / 12
P4	14.5^o	59.5^o	12889.5	4210.5	41.3		2364.3	50.48	51.09	53.54	68.5	1.7944	1.8877	σeq = 193.115	5 / 12
P5	30.5^o	90.0^o	8550.0	8550.0	83.8		2406.8	51.40	52.01	54.46	70.5	1.7942	1.9152	σeq = 192.595	6 / 12
P5	30.5^o	120.5^o	4210.5	12889.5	126.4		2449.4	52.32	52.93	55.38	70.5	1.7941	1.9428	σeq = 192.58	8 / 12
P6	14.5^o	135.0^o	2504.2	14595.8	143.1		2466.1	52.69	53.29	55.74	71.0	1.7969	1.9565	σeq = 194.255	9 / 12
P7	18.0^o	153.0^o	931.9	16168.1	158.6		2481.6	53.02	53.63	56.08	71.0	1.7869	1.9565	σeq = 193.509	10 / 12
P8	18.0^o	171.0^o	105.3	16994.7	166.7		2489.7	53.20	53.81	56.25	71.5	1.7955	1.9703	σeq = 192.063	11 / 12
P9	9.0^o	180.0^o	0	17100.0	167.7		2490.7	53.22	53.83	56.27	71.5	1.7948	1.9703	σeq = 192.166	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2948

23.4000

CASE 2

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

MAWP =

1.7869

at Site

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

Pset(MAWP) =

2.3230

23.6880

CASE 3

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

MAP =

1.8740

at Shop

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

Pset(MAP) =

2.4362

24.8423

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. SK-02	Rev. No.	[AAA4]

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	0^o	17106.0	0	0	17100.0	0	0	65.00	68.0	1.7908	1.8740	624.9217	1 / 12
P1	9.0^o	9.0^o	17000.7	0	0	16994.7	105.3	1.0	65.00	68.0	1.7908	1.8740	624.9217	2 / 12
P2	18.0^o	27.0^o	16173.8	0	0	16168.1	931.9	9.1	65.00	68.0	1.7908	1.8740	624.9217	3 / 12
P3	18.0^o	45.0^o	14600.9	0	0	14595.8	2504.2	24.6	65.00	68.0	1.7908	1.8740	624.9217	4 / 12
P4	14.5^o	59.5^o	12894.0	1609.0	10.2	12889.5	4210.5	41.3	65.50	68.5	1.7944	1.8877	631.5520	5 / 12
P5	30.5^o	90.0^o	8553.0	5950.0	37.9	8550.0	8550.0	83.8	66.50	69.5	1.7942	1.9152	644.8947	6 / 12
P5	30.5^o	120.5^o	4212.0	10291.0	65.5	4210.5	12889.5	126.4	67.50	70.5	1.7941	1.9428	658.3470	8 / 12
P6	14.5^o	135.0^o	2505.1	11997.9	76.4	2504.2	14595.8	143.1	68.00	71.0	1.7969	1.9565	665.1142	9 / 12
P7	18.0^o	153.0^o	932.2	13570.8	86.4	931.9	16168.1	158.6	68.00	71.0	1.7869	1.9565	665.1142	10 / 12
P8	18.0^o	171.0^o	105.3	14397.7	91.6	105.3	16994.7	166.7	68.50	71.5	1.7955	1.9703	671.9088	11 / 12
P9	9.0^o	180.0^o	0	14503.0	92.3	0	17100.0	167.7	68.50	71.5	1.7948	1.9703	671.9088	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2948

23.4000

CASE 2

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

MAWP =

1.7869

at Site

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

Pset(MAWP) =

2.3230

23.6880

CASE 3

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

MAP =

1.8740

at Shop

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

Pset(MAP) =

2.4362

24.8423

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA516-60

Maximum. Allowable External Pressure

MAEP =

624.9217

6.3724

CS-2

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=624.9217 kPa)

● Shell Material	MATL =	SA516-60
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	220.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	198.0	MPa
- Allowable stress at Test temperature (-12℃~30℃) [Table 1A]	Samb =	118.0	MPa
- Allowable stress at Design temperature (60.0 ℃) [Table 1A]	S =	118.0	MPa
- Lowest Stress Ratio, LSR = Samb / Sd	LSR =	1.0
o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	65.0	mm
Outside Radius of tank top head	Ro =	8618.0	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0009428
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-2)	Factor B =	82.85500	MPa
Design External Pressure, 　Pe = 1.03323 (kg/cm²)	Pe =	101.3250	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	624.9217	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. SK-02	Rev. No.	[AAA4]

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	0^o	66.97	67.1	50.20	52.65	27.49	68.0	0.7+0.23	#1	27.0	68.0	2686.1	8058.2	3	10,976	32,929	1 / 12
P1	9.0^o	9.0^o	66.97	67.1	50.22	52.67	27.49	68.0	0.7+0.23									2 / 12
P2	18.0^o	27.0^o	66.97	67.1	50.40	52.84	27.49	68.0	0.7+0.23									3 / 12
P3	18.0^o	45.0^o	66.97	67.1	50.73	53.18	27.49	68.0	0.7+0.23	#2	18.0	68.0	2686.1	8750.0	4	9,721	38,884	4 / 12
P4	14.5^o	59.5^o	67.35	67.4	51.09	53.54	27.49	68.5	0.7+0.36	#3	14.5	68.5	2314.4	8953.5	6	8,215	49,291	5 / 12
P5	30.5^o	90.0^o	68.12	68.4	52.01	54.46	27.49	70.5	0.7+0.35	#4	61.0	70.5	2686.1	9202.8	20	12,901	258,029	6 / 12
P5	30.5^o	120.5^o	69.35	69.4	52.93	55.38	27.49	70.5	0.7+0.35	#4	61.0	70.5	2686.1	9202.8	20	12,901	258,029	8 / 12
P6	14.5^o	135.0^o	69.74	69.8	53.29	55.74	27.49	71.0	0.7+0.45	#5	14.5	71.0	2314.4	8953.5	6	8,515	51,089	9 / 12
P7	18.0^o	153.0^o	70.10	70.2	53.63	56.08	27.49	71.0	0.7+0.09	#6	18.0	71.0	2686.1	8550.0	4	10,150	40,599	10 / 12
P8	18.0^o	171.0^o	70.29	70.4	53.81	56.25	27.49	71.5	0.7+0.40	#7	27.0	71.5	2686.1	8058.2	3	11,541	34,624	11 / 12
P9	9.0^o	180.0^o	70.32	70.4	53.83	56.27	27.49	71.5	0.7+0.38	#7	27.0	71.5	2686.1	8058.2	3	11,541	34,624	12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. SK-01	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 14100 mm, CA = 0 mm, SG = 0.071, Pg= 11.633 kg/cm²(=1140.808 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=1525.3 kPa
Material : SA240-316L, EXTERNAL CHART NO. [HA-2], DTEMP = 70 ℃, Sd = 138 MPa, St = 184.5 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 515 MPa, Fy = 205 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	0^o	29.14	29.2	29.16	29.17	20.49	30.0	0.7+0.14	#1	33.0	30.5	2707.0	8121.0	3	5,000	15,001	1 / 10
P1	11.0^o	11.0^o	29.14	29.2	29.18	29.19	20.49	30.0	0.7+0.12									2 / 10
P2	22.0^o	33.0^o	29.14	29.2	29.37	29.38	20.49	30.5	0.7+0.43									3 / 10
P3	22.0^o	55.0^o	29.14	29.2	29.72	29.73	20.49	30.5	0.7+0.08	#2	22.0	30.5	2707.0	8367.1	4	4,221	16,883	4 / 10
P4	35.0^o	90.0^o	29.17	29.2	30.48	30.49	20.49	TD90USED	0.7+0.32	#3	70.0	32.0	2768.5	8713.2	16	5,624	89,991	5 / 10
P4	35.0^o	125.0^o	29.29	29.3	31.24	31.25	20.49	32.0	0.7+0.06	#3	70.0	32.0	2768.5	8713.2	16	5,624	89,991	7 / 10
P5	22.0^o	147.0^o	29.32	29.4	31.59	31.60	20.49	32.5	0.7+0.21	#4	22.0	32.5	2707.0	8167.1	4	4,498	17,990	8 / 10
P6	22.0^o	169.0^o	29.34	29.4	31.78	31.78	20.49	33.0	0.7+0.52	#5	33.0	33.0	2707.0	8121.0	3	5,410	16,230	9 / 10
P7	11.0^o	180.0^o	29.34	29.4	31.80	31.81	20.49	33.0	0.7+0.50	#5	33.0	33.0	2707.0	8121.0	3	5,410	16,230	10 / 10

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 27.49 mm; Pe :101.32 kPa ≤ Pa = 101.33 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003569; Factor_B = 35.49 MPa

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=17100 (cm), Sd=118 MPa, Pg=1.7652 (MPa), HT_UPPCOL = 35600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=297.768 (N-mm), Nφ=26.124 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

17100

1710.0

　R = Inside Radius in Corroded Condition

R =

8553

855.3

　L = Design Liquid level

L =

14500

1450.0

　CA = Corrosion Allowance

CA =

3.0

0.3

　Wt = Total Weight at Operating Condition

Wt =

20,680,822

2108856.9

　S = Allowable Stress for the Design Condition SA516-60, Sd = 118MPa

S =

118.0

MPa

1203.265

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

0.649

　γ = Liquid Density

γ =

6.364516E-6

N/mm³

649.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.60589

degree

0.42945

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

45.91998

degree

0.80145

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9953215

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1114974

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4163743

　C5 = 22 / φ

C5 =

0.8940948

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4163743

Calculation Result :

　PM = P×R/2

PM =

7548.878

N-mm

76.977

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

297.768

N-mm

3.036

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

26.124

N-mm

0.266

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8027.9

N/mm

8186.18

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7265.33

N/mm

7408.575

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

70.42

7.042

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

68.12

6.812

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

112.174

MPa

1143.856

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

915,180,149

N-mm

9332.24×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

341,743,048

N-mm

3484.809×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

459,859,924

N-mm

4689.266×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

160,823,155

N-mm

1639.94×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

245.842

N/mm

250.689

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

531,051,939

N-mm

5415.223×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

278,953,935

N-mm

2844.539×10³

Kg-cm

　Za = IH / LA × t

Za =

154,449,865

mm³

154.45×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,906,621,798

mm³

3906.622×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.0155E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.539769E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1808.506

180.851

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

64.583

N/mm

65.856

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

49,044,944

N-mm

500.119×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

24,644,115

N-mm

251.3×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

759,413

mm³

7594.135

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

197,821,136

mm³

197.821×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

260.492

26.049

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

516.178

51.618

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

309.667

N/mm

315.772

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

212.319

N/mm

216.505

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,557,509

158821.7

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

45267.989

4616.1

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7122.498

712.25

piDeg=[24.60589060311825] piRad=[0.4294538064099468] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=17100 (cm), Sd=118 MPa, Pg=1.7652 (MPa), HT_UPPCOL = 35600.0 (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 의한 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	τ_xy	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	17106.0	0	0	1.7652	7548.88							7548.88	7548.88	116.14	< OK	118	66.97	67.07	68.0	0.10	1.58	0	0	0	0
P1	9	17000.7	0	0	1.7652	7548.88							7548.88	7548.88	116.14	< OK	118	66.97	67.07	68.0	0.10	1.58	0	0	0	0
P2	27	16173.8	0	0	1.7652	7548.88							7548.88	7548.88	116.14	< OK	118	66.97	67.07	68.0	0.10	1.58	0	0	0	0
P3	45	14600.9	0	0	1.7652	7548.88							7548.88	7548.88	116.14	< OK	118	66.97	67.07	68.0	0.10	1.58	0	0	0	0
P4	59.5	12894.0	1609.0	0.0102	1.7754	7548.88	81.26	6.33					7630.14	7555.21	115.92	< OK	118	67.35	67.44	68.5	0.09	1.76	1.047	0.082	0.175	0.014
P5	90	8553.0	5950.0	0.0379	1.8031	7548.88	297.77	26.12	245.84	64.58	309.67	212.32	8027.90	7265.33	116.42	< OK	118	68.12	68.45	69.0	0.33	1.34	3.837	0.337	0.64	0.056	Column Attached Equator Plate
P5	120.5	4212.0	10291.0	0.0655	1.8307	7548.88	216.54	343.66					7765.41	7892.54	116.00	< OK	118	69.35	69.45	70.5	0.10	1.70	2.79	4.429	0.465	0.738
P6	135	2505.1	11997.9	0.0764	1.8416	7548.88	290.51	362.60					7839.39	7911.48	115.82	< OK	118	69.74	69.85	71.0	0.11	1.85	3.744	4.673	0.624	0.779
P7	153	932.2	13570.8	0.0864	1.8516	7548.88	356.44	382.30					7905.31	7931.18	116.44	< OK	118	70.10	70.21	71.0	0.11	1.32	4.593	4.927	0.766	0.821
P8	171	105.3	14397.7	0.0916	1.8568	7548.88	390.44	393.31					7939.32	7942.19	115.92	< OK	118	70.29	70.40	71.5	0.11	1.76	5.032	5.069	0.839	0.845
P9	180	0	14503.0	0.0923	1.8575	7548.88	394.74	394.74					7943.62	7943.62	115.96	< OK	118	70.32	70.42	71.5	0.10	1.72	5.087	5.087	0.848	0.848

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=17100 (cm), Syt=198 MPa, MAWP=2.29476 (MPa), HT_UPPCOL = 35800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=597.409 (N-mm), Nφ=119.482 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

17100

1710.0

　R = Inside Radius in Corroded Condition

R =

8550

855.0

　L = Hydrostatic-test Water Level

L =

17100

1710.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

29,493,631

3007513.3

　S = Allowable Stress for the Design Condition SA516-60, Sd = 198MPa

S =

198.0

MPa

2019.038

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.75339

degree

0.43203

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9950413

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1177418

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4187135

　C5 = 22 / φ

C5 =

0.8887672

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4187135

Calculation Result :

　PM = P×R/2

PM =

7546.23

N-mm

76.95

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

597.409

N-mm

6.092

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

119.482

N-mm

1.218

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8399.98

N/mm

8565.596

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7226.56

N/mm

7369.04

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

41.77

4.177

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

39.88

3.988

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

183.637

MPa

1872.576

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,304,712,085

N-mm

13304.361×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

483,941,308

N-mm

4934.828×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

655,592,017

N-mm

6685.178×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

227,901,367

N-mm

2323.947×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

346.835

N/mm

353.673

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

757,320,917

N-mm

7722.524×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

397,606,217

N-mm

4054.455×10³

Kg-cm

　Za = IH / LA × t

Za =

117,910,099

mm³

117.91×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,970,450,899

mm³

3970.451×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.0765E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.657343E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1818.371

181.837

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

90.49

N/mm

92.274

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

69,898,823

N-mm

712.77×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

35,122,776

N-mm

358.153×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

772,450

mm³

7724.505

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

203,542,761

mm³

203.543×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

263.503

26.35

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

522.085

52.209

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

439.15

N/mm

447.808

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

301.727

N/mm

307.676

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

2,225,709

226959.2

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

65345.344

6663.4

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7160.0

716.0

piDeg=[24.75338884463815] piRad=[0.43202813636537085] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=17100 (cm), Syt=198 MPa, MAWP=2.29476 (MPa), HT_UPPCOL = 35800.0 (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 의한 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	τ_xy	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	17100.0	0	0	1.7652	7546.23							7546.23	7546.23	193.49	< OK	198	38.11	38.15	39.0	0.04	2.28	0	0	0	0
P1	9	16994.7	105.3	0.0010	1.7662	7546.23	6.62	2.20					7552.85	7548.43	193.61	< OK	198	38.13	38.17	39.0	0.04	2.22	0.055	0.018	0.009	0.003
P2	27	16168.1	931.9	0.0091	1.7743	7546.23	58.98	19.16					7605.21	7565.39	192.04	< OK	198	38.31	38.34	39.5	0.03	3.01	0.494	0.16	0.082	0.027
P3	45	14595.8	2504.2	0.0246	1.7898	7546.23	160.48	49.49					7706.71	7595.72	193.72	< OK	198	38.65	38.68	39.5	0.03	2.16	1.343	0.414	0.224	0.069
P4	59.5	12889.5	4210.5	0.0413	1.8065	7546.23	274.39	78.65					7820.62	7624.88	193.12	< OK	198	39.01	39.04	40.0	0.03	2.47	2.297	0.658	0.383	0.11
P5	90	8550.0	8550.0	0.0838	1.849	7546.23	597.41	119.48	346.83	90.49	439.15	301.73	8399.98	7226.56	192.60	< OK	198	39.88	39.96	41.0	0.08	2.73	5	1	0.833	0.167	Column Attached Equator Plate
P5	120.5	4210.5	12889.5	0.1264	1.8916	7546.23	442.50	638.24					7988.73	8184.47	192.58	< OK	198	40.85	40.88	42.0	0.03	2.74	3.703	5.342	0.617	0.89
P6	135	2504.2	14595.8	0.1431	1.9083	7546.23	556.41	667.40					8102.64	8213.63	194.26	< OK	198	41.21	41.24	42.0	0.03	1.89	4.657	5.586	0.776	0.931
P7	153	931.9	16168.1	0.1586	1.9238	7546.23	657.91	697.73					8204.14	8243.96	193.51	< OK	198	41.54	41.58	42.5	0.04	2.27	5.506	5.84	0.918	0.973
P8	171	105.3	16994.7	0.1667	1.9319	7546.23	710.27	714.69					8256.50	8260.92	192.06	< OK	198	41.71	41.75	43.0	0.04	3.00	5.945	5.982	0.991	0.997
P9	180	0	17100.0	0.1677	1.9329	7546.23	716.89	716.89					8263.12	8263.12	192.17	< OK	198	41.73	41.77	43.0	0.04	2.95	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])= 46
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 505445.1
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 17100
MRA(sWt[tid][20][10])= 918.633
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 =	10	Columns
2. gCol[tid][2] =	Column OD	OD =	863.6	mm
3. gCol[tid][3] =	Column thk	thk =	9.65	mm
4. gCol[tid][4] =	Tank Height	Htank =	11550	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3580	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7970	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	16720	mm
8. gCol[tid][8] =	Brace Angle	BRang =	32.9544	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1015	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	SA516-60	t68 ~ 71	SHT	46	505.445	616.643	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t71, t12×3013×3580	SHT	10	14.022	15.424	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø863.6×9.65t × 7970L	PCS	10	16.196	16.196	000,000	000,000	3
4	BRACE ( PIPE, θ= 32.9544 deg.)	null	Ø0×0t × 9498L	PCS	20			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:SA516-60(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)	SA516-60	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				86	535.663	648.263	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. T-3208(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.625, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2281.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	18006.4	0	0	1765.2	1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	1 / 12
P1	9.0^o	9.0^o	17895.6	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	2 / 12
P2	18.0^o	27.0^o	17025.1	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	3 / 12
P3	18.0^o	45.0^o	15369.4	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	4 / 12
P4	14.5^o	59.5^o	13572.7	930.5	5.7		1770.9	37.86	37.93	39.0	0.7+0.37	1.8198	1.9890			1.0	σeq = 222.682	5 / 12
P5	30.5^o	90.0^o	9003.2	5500.0	33.7		1798.9	38.30	38.48	40.0	0.7+0.32	1.8172	2.0145			1.0	σeq = 222.38	6 / 12
P5	30.5^o	120.5^o	4433.7	10069.5	61.7		1826.9	38.96	39.03	40.0	0.7+0.27	1.8147	2.0399			1.0	σeq = 223.503	8 / 12
P6	14.5^o	135.0^o	2637.0	11866.2	72.7		1837.9	39.17	39.24	40.0	0.7+0.06	1.8037	2.0399			1.0	σeq = 224.834	9 / 12
P7	18.0^o	153.0^o	981.3	13521.9	82.9		1848.1	39.37	39.44	40.5	0.7+0.36	1.8189	2.0654			1.0	σeq = 223.039	10 / 12
P8	18.0^o	171.0^o	110.8	14392.4	88.2		1853.4	39.48	39.55	40.5	0.7+0.25	1.8136	2.0654			1.0	σeq = 223.682	11 / 12
P9	9.0^o	180.0^o	0	14503.2	88.9		1854.1	39.49	39.56	40.5	0.7+0.24	1.8129	2.0654	1.8037	1.989	1.0	σeq = 223.764	12 / 12

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 =	1.7652	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.8037	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.9890	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. T-3208(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.625, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2254.6 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	18000.0	0	0	2254.6	2254.6	25.22	25.77	28.42	39.0	1.8255	1.9890	σeq = 378.257	1 / 12
P1	9.0^o	9.0^o	17889.2	110.8	1.1		2255.7	25.23	25.78	28.44	39.0	1.8255	1.9890	σeq = 378.49	2 / 12
P2	18.0^o	27.0^o	17019.1	980.9	9.6		2264.2	25.33	25.88	28.53	39.0	1.8255	1.9890	σeq = 371.478	3 / 12
P3	18.0^o	45.0^o	15364.0	2636.0	25.9		2280.5	25.52	26.07	28.72	39.0	1.8255	1.9890	σeq = 374.904	4 / 12
P4	14.5^o	59.5^o	13567.8	4432.2	43.5		2298.1	25.72	26.27	28.92	39.0	1.8198	1.9890	σeq = 378.658	5 / 12
P5	30.5^o	90.0^o	9000.0	9000.0	88.3		2342.9	26.23	26.78	29.43	40.0	1.8172	2.0145	σeq = 379.07	6 / 12
P5	30.5^o	120.5^o	4432.2	13567.8	133.1		2387.7	26.74	27.29	29.95	40.0	1.8147	2.0399	σeq = 379.743	8 / 12
P6	14.5^o	135.0^o	2636.0	15364.0	150.7		2405.3	26.95	27.50	30.15	40.0	1.8037	2.0399	σeq = 374.873	9 / 12
P7	18.0^o	153.0^o	980.9	17019.1	166.9		2421.5	27.13	27.68	30.33	40.5	1.8189	2.0654	σeq = 378.023	10 / 12
P8	18.0^o	171.0^o	110.8	17889.2	175.4		2430.0	27.23	27.78	30.43	40.5	1.8136	2.0654	σeq = 379.689	11 / 12
P9	9.0^o	180.0^o	0	18000.0	176.5		2431.1	27.24	27.79	30.44	40.5	1.8129	2.0654	σeq = 379.902	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2065

22.5000

CASE 2

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

MAWP =

1.8037

at Site

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

Pset(MAWP) =

2.2546

22.9905

CASE 3

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

MAP =

1.9890

at Shop

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

Pset(MAP) =

2.4863

25.3532

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		[AAA1]	[AAA2]
	Doc. No. : 2. T-3208(3)	Rev. No.	[AAA4]

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	0^o	18006.4	0	0	18000.0	0	0	35.80	39.0	1.8255	1.9890	234.8265	1 / 12
P1	9.0^o	9.0^o	17895.6	0	0	17889.2	110.8	1.1	35.80	39.0	1.8255	1.9890	234.8265	2 / 12
P2	18.0^o	27.0^o	17025.1	0	0	17019.1	980.9	9.6	35.80	39.0	1.8255	1.9890	234.8265	3 / 12
P3	18.0^o	45.0^o	15369.4	0	0	15364.0	2636.0	25.9	35.80	39.0	1.8255	1.9890	234.8265	4 / 12
P4	14.5^o	59.5^o	13572.7	930.5	5.7	13567.8	4432.2	43.5	35.80	39.0	1.8198	1.9890	234.8265	5 / 12
P5	30.5^o	90.0^o	9003.2	5500.0	33.7	9000.0	9000.0	88.3	36.30	39.5	1.8172	2.0145	241.4050	6 / 12
P5	30.5^o	120.5^o	4433.7	10069.5	61.7	4432.2	13567.8	133.1	36.80	40.0	1.8147	2.0399	248.0736	8 / 12
P6	14.5^o	135.0^o	2637.0	11866.2	72.7	2636.0	15364.0	150.7	36.80	40.0	1.8037	2.0399	248.0736	9 / 12
P7	18.0^o	153.0^o	981.3	13521.9	82.9	980.9	17019.1	166.9	37.30	40.5	1.8189	2.0654	254.8324	10 / 12
P8	18.0^o	171.0^o	110.8	14392.4	88.2	110.8	17889.2	175.4	37.30	40.5	1.8136	2.0654	254.8324	11 / 12
P9	9.0^o	180.0^o	0	14503.2	88.9	0	18000.0	176.5	37.30	40.5	1.8129	2.0654	254.8324	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2065

22.5000

CASE 2

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

MAWP =

1.8037

at Site

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

Pset(MAWP) =

2.2546

22.9905

CASE 3

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

MAP =

1.9890

at Shop

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

Pset(MAP) =

2.4863

25.3532

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

234.8265

2.3946

CS-4

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=234.8265 kPa)

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		[AAA1]	[AAA2]
	Doc. No. : 2. T-3208(3)	Rev. No.	[AAA4]

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	0^o	37.75	37.8	25.77	28.42	26.69	39.0	0.7+0.48	#1	27.0	39.0	2827.4	8482.3	3	6,975	20,926	1 / 12
P1	9.0^o	9.0^o	37.75	37.8	25.78	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0^o	27.0^o	37.75	37.8	25.88	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0^o	45.0^o	37.75	37.8	26.07	28.72	26.69	39.0	0.7+0.48	#2	18.0	39.0	2827.4	9200.0	4	6,178	24,710	4 / 12
P4	14.5^o	59.5^o	37.86	37.9	26.27	28.92	26.69	39.0	0.7+0.37	#3	14.5	39.0	2436.2	9424.8	6	5,183	31,095	5 / 12
P5	30.5^o	90.0^o	38.30	38.5	26.78	29.43	26.69	40.0	0.7+0.32	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
P5	30.5^o	120.5^o	38.96	39.0	27.29	29.95	26.69	40.0	0.7+0.27	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	8 / 12
P6	14.5^o	135.0^o	39.17	39.2	27.50	30.15	26.69	40.0	0.7+0.06	#5	14.5	40.0	2436.2	9424.8	6	5,315	31,892	9 / 12
P7	18.0^o	153.0^o	39.37	39.4	27.68	30.33	26.69	40.5	0.7+0.36	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0^o	171.0^o	39.48	39.6	27.78	30.43	26.69	40.5	0.7+0.25	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0^o	180.0^o	39.49	39.6	27.79	30.44	26.69	40.5	0.7+0.24	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	12 / 12

], CalcRpt[i][1]=[

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		[AAA1]	[AAA2]
	Doc. No. : 1. SK-02	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 17100 mm, CA = 3 mm, SG = 0.649, Pg= 18.0 kg/cm²(=1765.197 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2323 kPa
Material : SA516-60, EXTERNAL CHART NO. [CS-2], DTEMP = 70 ℃, Sd = 118 MPa, St = 198 MPa, Samb = 118 MPa, LSR = Samb/Sd = 1.0, Ft = 415 MPa, Fy = 220 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	0^o	66.97	67.1	50.20	52.65	27.49	68.0	0.7+0.23	#1	27.0	68.0	2686.1	8058.2	3	10,976	32,929	1 / 12
P1	9.0^o	9.0^o	66.97	67.1	50.22	52.67	27.49	68.0	0.7+0.23									2 / 12
P2	18.0^o	27.0^o	66.97	67.1	50.40	52.84	27.49	68.0	0.7+0.23									3 / 12
P3	18.0^o	45.0^o	66.97	67.1	50.73	53.18	27.49	68.0	0.7+0.23	#2	18.0	68.0	2686.1	8750.0	4	9,721	38,884	4 / 12
P4	14.5^o	59.5^o	67.35	67.4	51.09	53.54	27.49	68.5	0.7+0.36	#3	14.5	68.5	2314.4	8953.5	6	8,215	49,291	5 / 12
P5	30.5^o	90.0^o	68.12	68.4	52.01	54.46	27.49	TD90USED	0.7+0.35	#4	61.0	70.5	2686.1	9202.8	20	12,901	258,029	6 / 12
P5	30.5^o	120.5^o	69.35	69.4	52.93	55.38	27.49	70.5	0.7+0.35	#4	61.0	70.5	2686.1	9202.8	20	12,901	258,029	8 / 12
P6	14.5^o	135.0^o	69.74	69.8	53.29	55.74	27.49	71.0	0.7+0.45	#5	14.5	71.0	2314.4	8953.5	6	8,515	51,089	9 / 12
P7	18.0^o	153.0^o	70.10	70.2	53.63	56.08	27.49	71.0	0.7+0.09	#6	18.0	71.0	2686.1	8550.0	4	10,150	40,599	10 / 12
P8	18.0^o	171.0^o	70.29	70.4	53.81	56.25	27.49	71.5	0.7+0.40	#7	27.0	71.5	2686.1	8058.2	3	11,541	34,624	11 / 12
P9	9.0^o	180.0^o	70.32	70.4	53.83	56.27	27.49	71.5	0.7+0.38	#7	27.0	71.5	2686.1	8058.2	3	11,541	34,624	12 / 12

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 26.69 mm; Pe :101.32 kPa ≤ Pa = 101.37 kPa = 2*Fha*(tc/Ro)*1000; Fhe=38.956; Fic=38.956 MPa; Fha=19.478 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=18000 (cm), Sd=230 MPa, Pg=1.7652 (MPa), HT_UPPCOL = 36900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=284.624 (N-mm), Nφ=18.877 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

18000

1800.0

　R = Inside Radius in Corroded Condition

R =

9003.2

900.32

　L = Design Liquid level

L =

14500

1450.0

　CA = Corrosion Allowance

CA =

3.2

0.32

　Wt = Total Weight at Operating Condition

Wt =

20,041,966

2043711.8

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa

S =

230.0

MPa

2345.347

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

0.625

　γ = Liquid Density

γ =

6.129156E-6

N/mm³

625.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.20483

degree

0.42245

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

52.34583

degree

0.91361

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9960751

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0944815

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4100000

　C5 = 22 / φ

C5 =

0.9089093

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4100000

Calculation Result :

　PM = P×R/2

PM =

7946.224

N-mm

81.029

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

284.624

N-mm

2.902

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

18.877

N-mm

0.192

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8404.85

N/mm

8570.562

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7675.28

N/mm

7826.607

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

39.56

3.956

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

38.3

3.83

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

216.418

MPa

2206.849

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

933,592,940

N-mm

9519.999×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

355,069,974

N-mm

3620.706×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

469,111,987

N-mm

4783.611×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

166,765,270

N-mm

1700.532×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

233.408

N/mm

238.01

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

541,311,148

N-mm

5519.838×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

284,749,259

N-mm

2903.634×10³

Kg-cm

　Za = IH / LA × t

Za =

93,925,995

mm³

93.926×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

4,345,188,157

mm³

4345.188×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.8569E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.227031E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1873.604

187.36

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

59.411

N/mm

60.582

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

47,613,755

N-mm

485.525×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

23,924,970

N-mm

243.967×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

801,429

mm³

8014.295

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

212,712,858

mm³

212.713×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

265.417

26.542

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

526.095

52.61

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

289.819

N/mm

295.533

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

201.185

N/mm

205.152

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,525,625

155570.5

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

40348.543

4114.4

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7382.624

738.262

piDeg=[24.204834801458325] piRad=[0.42245406218675574] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=18000 (cm), Sd=230 MPa, Pg=1.7652 (MPa), HT_UPPCOL = 36900.0 (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 의한 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	τ_xy	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	18006.4	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P1	9	17895.6	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P2	27	17025.1	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P3	45	15369.4	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P4	59.5	13572.7	930.5	0.0057	1.7709	7946.22	49.41	1.94					7995.64	7948.16	222.68	< OK	230	37.86	37.93	39.0	0.07	3.18	0.597	0.023	0.099	0.004
P5	90	9003.2	5500.0	0.0337	1.7989	7946.22	284.62	18.88	233.41	59.41	289.82	201.18	8404.85	7675.28	222.38	< OK	230	38.30	38.48	39.5	0.18	3.31	3.437	0.228	0.573	0.038	Column Attached Equator Plate
P5	120.5	4433.7	10069.5	0.0617	1.8269	7946.22	210.00	345.65					8156.23	8291.88	223.50	< OK	230	38.96	39.03	40.0	0.07	2.82	2.536	4.174	0.423	0.696
P6	135	2637.0	11866.2	0.0727	1.8379	7946.22	288.94	365.86					8235.17	8312.08	224.83	< OK	230	39.17	39.24	40.0	0.07	2.25	3.49	4.418	0.582	0.736
P7	153	981.3	13521.9	0.0829	1.8481	7946.22	359.29	386.88					8305.51	8333.10	223.04	< OK	230	39.37	39.44	40.5	0.07	3.03	4.339	4.672	0.723	0.779
P8	171	110.8	14392.4	0.0882	1.8534	7946.22	395.57	398.63					8341.79	8344.86	223.68	< OK	230	39.48	39.55	40.5	0.07	2.75	4.777	4.814	0.796	0.802
P9	180	0	14503.2	0.0889	1.8541	7946.22	400.16	400.16					8346.38	8346.38	223.76	< OK	230	39.49	39.56	40.5	0.07	2.71	4.833	4.833	0.805	0.805

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=18000 (cm), Syt=394.25 MPa, MAWP=2.2065 (MPa), HT_UPPCOL = 37000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=661.949 (N-mm), Nφ=132.39 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

18000

1800.0

　R = Inside Radius in Corroded Condition

R =

9000

900.0

　L = Hydrostatic-test Water Level

L =

18000

1800.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

32,139,894

3277357.1

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa

S =

394.25

MPa

4020.231

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.27465

degree

0.42367

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9959448

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0974476

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4111111

　C5 = 22 / φ

C5 =

0.9062952

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4111111

Calculation Result :

　PM = P×R/2

PM =

7943.4

N-mm

81.0

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

661.949

N-mm

6.75

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

132.39

N-mm

1.35

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8883.26

N/mm

9058.404

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7612.2

N/mm

7762.284

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

22.19

2.219

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

21.15

2.115

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

362.589

MPa

3697.379

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,496,605,307

N-mm

15261.127×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

567,379,312

N-mm

5785.659×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

752,014,566

N-mm

7668.414×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

266,573,697

N-mm

2718.295×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

372.415

N/mm

379.758

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

867,867,174

N-mm

8849.782×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

456,414,316

N-mm

4654.131×10³

Kg-cm

　Za = IH / LA × t

Za =

65,250,509

mm³

65.251×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

4,376,861,061

mm³

4376.861×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.8838E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.280747E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1878.179

187.818

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

94.501

N/mm

96.364

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

76,331,568

N-mm

778.365×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

38,355,103

N-mm

391.113×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

807,732

mm³

8077.324

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

215,536,570

mm³

215.537×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

266.842

26.684

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

528.891

52.889

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

463.59

N/mm

472.73

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

322.105

N/mm

328.456

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

2,448,674

249695.2

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

65095.462

6637.9

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7400.0

740.0

piDeg=[24.27465219458477] piRad=[0.4236726055719715] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=18000 (cm), Syt=394.25 MPa, MAWP=2.2065 (MPa), HT_UPPCOL = 37000.0 (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 의한 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	τ_xy	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	18000.0	0	0	1.7652	7943.4							7943.40	7943.40	378.26	< OK	394.25	20.15	20.17	21.0	0.02	4.06	0	0	0	0
P1	9	17889.2	110.8	0.0011	1.7663	7943.4	7.34	2.44					7950.74	7945.84	378.49	< OK	394.25	20.16	20.18	21.0	0.02	4.00	0.055	0.018	0.009	0.003
P2	27	17019.1	980.9	0.0096	1.7748	7943.4	65.35	21.23					8008.75	7964.63	371.48	< OK	394.25	20.26	20.28	21.5	0.02	5.78	0.494	0.16	0.082	0.027
P3	45	15364.0	2636.0	0.0259	1.7911	7943.4	177.82	54.84					8121.22	7998.24	374.90	< OK	394.25	20.44	20.47	21.5	0.03	4.91	1.343	0.414	0.224	0.069
P4	59.5	13567.8	4432.2	0.0435	1.8087	7943.4	304.03	87.15					8247.43	8030.55	378.66	< OK	394.25	20.65	20.67	21.5	0.02	3.95	2.297	0.658	0.383	0.11
P5	90	9000.0	9000.0	0.0883	1.8535	7943.4	661.95	132.39	372.42	94.50	463.59	322.10	8883.26	7612.20	379.07	< OK	394.25	21.15	21.18	22.0	0.03	3.85	5	1	0.833	0.167	Column Attached Equator Plate
P5	120.5	4432.2	13567.8	0.1331	1.8983	7943.4	490.30	707.19					8433.70	8650.59	379.74	< OK	394.25	21.67	21.69	22.5	0.02	3.68	3.703	5.342	0.617	0.89
P6	135	2636.0	15364.0	0.1507	1.9159	7943.4	616.52	739.50					8559.92	8682.90	374.87	< OK	394.25	21.87	21.89	23.0	0.02	4.91	4.657	5.586	0.776	0.931
P7	153	980.9	17019.1	0.1669	1.9321	7943.4	728.99	773.11					8672.39	8716.51	378.02	< OK	394.25	22.05	22.08	23.0	0.03	4.12	5.506	5.84	0.918	0.973
P8	171	110.8	17889.2	0.1754	1.9406	7943.4	787.00	791.90					8730.40	8735.30	379.69	< OK	394.25	22.15	22.18	23.0	0.03	3.69	5.945	5.982	0.991	0.997
P9	180	0	18000.0	0.1765	1.9417	7943.4	794.34	794.34					8737.74	8737.74	379.90	< OK	394.25	22.16	22.19	23.0	0.03	3.64	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])= 46
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 318231.293
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 18000
MRA(sWt[tid][20][10])= 1017.878
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 =	10	Columns
2. gCol[tid][2] =	Column OD	OD =	863.6	mm
3. gCol[tid][3] =	Column thk	thk =	9.65	mm
4. gCol[tid][4] =	Tank Height	Htank =	12000	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3700	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8300	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	17600	mm
8. gCol[tid][8] =	Brace Angle	BRang =	33.2354	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1015	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	t39 ~ 40.5	SHT	46	318.231	388.242	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t40.5, t12×3013×3700	SHT	10	12.567	13.823	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø863.6×9.65t × 8300L	PCS	10	16.867	16.867	000,000	000,000	3
4	BRACE ( PIPE, θ= 33.2354 deg.)	null	Ø0×0t × 9923L	PCS	20			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				86	347.665	418.932	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. T-3213(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.596, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2281.9 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	18006.4	0	0	1765.2	1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	1 / 12
P1	9.0^o	9.0^o	17895.6	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	2 / 12
P2	18.0^o	27.0^o	17025.1	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	3 / 12
P3	18.0^o	45.0^o	15369.4	0	0		1765.2	37.75	37.82	39.0	0.7+0.48	1.8255	1.9890			1.0	σeq = 221.961	4 / 12
P4	14.5^o	59.5^o	13572.7	930.5	5.4		1770.6	37.86	37.92	39.0	0.7+0.38	1.8201	1.9890			1.0	σeq = 222.648	5 / 12
P5	30.5^o	90.0^o	9003.2	5500.0	32.1		1797.3	38.27	38.45	40.0	0.7+0.35	1.8188	2.0145			1.0	σeq = 222.177	6 / 12
P5	30.5^o	120.5^o	4433.7	10069.5	58.9		1824.1	38.90	38.97	40.0	0.7+0.33	1.8175	2.0399			1.0	σeq = 223.15	8 / 12
P6	14.5^o	135.0^o	2637.0	11866.2	69.4		1834.6	39.11	39.18	40.0	0.7+0.12	1.8070	2.0399			1.0	σeq = 224.421	9 / 12
P7	18.0^o	153.0^o	981.3	13521.9	79.0		1844.2	39.30	39.37	40.5	0.7+0.43	1.8228	2.0654			1.0	σeq = 222.574	10 / 12
P8	18.0^o	171.0^o	110.8	14392.4	84.1		1849.3	39.40	39.47	40.5	0.7+0.33	1.8177	2.0654			1.0	σeq = 223.188	11 / 12
P9	9.0^o	180.0^o	0	14503.2	84.8		1850.0	39.41	39.48	40.5	0.7+0.32	1.8170	2.0654	1.807	1.989	1.0	σeq = 223.266	12 / 12

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 =	1.7652	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.8070	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.9890	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 3. T-3213(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.596, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2258.8 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	18000.0	0	0	2258.8	2258.8	25.22	25.82	28.42	39.0	1.8255	1.9890	σeq = 378.257	1 / 12
P1	9.0^o	9.0^o	17889.2	110.8	1.1		2259.9	25.23	25.83	28.44	39.0	1.8255	1.9890	σeq = 378.49	2 / 12
P2	18.0^o	27.0^o	17019.1	980.9	9.6		2268.4	25.33	25.93	28.53	39.0	1.8255	1.9890	σeq = 371.478	3 / 12
P3	18.0^o	45.0^o	15364.0	2636.0	25.9		2284.7	25.52	26.12	28.72	39.0	1.8255	1.9890	σeq = 374.904	4 / 12
P4	14.5^o	59.5^o	13567.8	4432.2	43.5		2302.3	25.72	26.32	28.92	39.0	1.8201	1.9890	σeq = 378.658	5 / 12
P5	30.5^o	90.0^o	9000.0	9000.0	88.3		2347.1	26.23	26.83	29.43	40.0	1.8188	2.0145	σeq = 379.07	6 / 12
P5	30.5^o	120.5^o	4432.2	13567.8	133.1		2391.9	26.74	27.34	29.95	40.0	1.8175	2.0399	σeq = 379.743	8 / 12
P6	14.5^o	135.0^o	2636.0	15364.0	150.7		2409.5	26.95	27.54	30.15	40.0	1.8070	2.0399	σeq = 374.873	9 / 12
P7	18.0^o	153.0^o	980.9	17019.1	166.9		2425.7	27.13	27.73	30.33	40.5	1.8228	2.0654	σeq = 378.023	10 / 12
P8	18.0^o	171.0^o	110.8	17889.2	175.4		2434.2	27.23	27.83	30.43	40.5	1.8177	2.0654	σeq = 379.689	11 / 12
P9	9.0^o	180.0^o	0	18000.0	176.5		2435.3	27.24	27.84	30.44	40.5	1.8170	2.0654	σeq = 379.902	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2065

22.5000

CASE 2

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

MAWP =

1.8070

at Site

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

Pset(MAWP) =

2.2588

23.0333

CASE 3

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

MAP =

1.9890

at Shop

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

Pset(MAP) =

2.4863

25.3532

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 3. T-3213(3)	Rev. No.	[AAA4]

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	0^o	18006.4	0	0	18000.0	0	0	35.80	39.0	1.8255	1.9890	234.8265	1 / 12
P1	9.0^o	9.0^o	17895.6	0	0	17889.2	110.8	1.1	35.80	39.0	1.8255	1.9890	234.8265	2 / 12
P2	18.0^o	27.0^o	17025.1	0	0	17019.1	980.9	9.6	35.80	39.0	1.8255	1.9890	234.8265	3 / 12
P3	18.0^o	45.0^o	15369.4	0	0	15364.0	2636.0	25.9	35.80	39.0	1.8255	1.9890	234.8265	4 / 12
P4	14.5^o	59.5^o	13572.7	930.5	5.4	13567.8	4432.2	43.5	35.80	39.0	1.8201	1.9890	234.8265	5 / 12
P5	30.5^o	90.0^o	9003.2	5500.0	32.1	9000.0	9000.0	88.3	36.30	39.5	1.8188	2.0145	241.4050	6 / 12
P5	30.5^o	120.5^o	4433.7	10069.5	58.9	4432.2	13567.8	133.1	36.80	40.0	1.8175	2.0399	248.0736	8 / 12
P6	14.5^o	135.0^o	2637.0	11866.2	69.4	2636.0	15364.0	150.7	36.80	40.0	1.8070	2.0399	248.0736	9 / 12
P7	18.0^o	153.0^o	981.3	13521.9	79.0	980.9	17019.1	166.9	37.30	40.5	1.8228	2.0654	254.8324	10 / 12
P8	18.0^o	171.0^o	110.8	14392.4	84.1	110.8	17889.2	175.4	37.30	40.5	1.8177	2.0654	254.8324	11 / 12
P9	9.0^o	180.0^o	0	14503.2	84.8	0	18000.0	176.5	37.30	40.5	1.8170	2.0654	254.8324	12 / 12

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 =

1.7652

at Site

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

Pset(MAWP) =

2.2065

22.5000

CASE 2

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

MAWP =

1.8070

at Site

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

Pset(MAWP) =

2.2588

23.0333

CASE 3

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

MAP =

1.9890

at Shop

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

Pset(MAP) =

2.4863

25.3532

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

234.8265

2.3946

CS-4

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=234.8265 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 3. T-3213(3)	Rev. No.	[AAA4]

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	0^o	37.75	37.8	25.82	28.42	26.69	39.0	0.7+0.48	#1	27.0	39.0	2827.4	8482.3	3	6,975	20,926	1 / 12
P1	9.0^o	9.0^o	37.75	37.8	25.83	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0^o	27.0^o	37.75	37.8	25.93	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0^o	45.0^o	37.75	37.8	26.12	28.72	26.69	39.0	0.7+0.48	#2	18.0	39.0	2827.4	9200.0	4	6,178	24,710	4 / 12
P4	14.5^o	59.5^o	37.86	37.9	26.32	28.92	26.69	39.0	0.7+0.38	#3	14.5	39.0	2436.2	9424.8	6	5,183	31,095	5 / 12
P5	30.5^o	90.0^o	38.27	38.4	26.83	29.43	26.69	40.0	0.7+0.35	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
P5	30.5^o	120.5^o	38.90	39.0	27.34	29.95	26.69	40.0	0.7+0.33	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	8 / 12
P6	14.5^o	135.0^o	39.11	39.2	27.54	30.15	26.69	40.0	0.7+0.12	#5	14.5	40.0	2436.2	9424.8	6	5,315	31,892	9 / 12
P7	18.0^o	153.0^o	39.30	39.4	27.73	30.33	26.69	40.5	0.7+0.43	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0^o	171.0^o	39.40	39.5	27.83	30.43	26.69	40.5	0.7+0.33	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0^o	180.0^o	39.41	39.5	27.84	30.44	26.69	40.5	0.7+0.32	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. T-3208(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.625, Pg= 18.0 kg/cm²(=1765.197 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2254.6 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	37.75	37.8	25.77	28.42	26.69	39.0	0.7+0.48	#1	27.0	39.0	2827.4	8482.3	3	6,975	20,926	1 / 12
P1	9.0^o	9.0^o	37.75	37.8	25.78	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0^o	27.0^o	37.75	37.8	25.88	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0^o	45.0^o	37.75	37.8	26.07	28.72	26.69	39.0	0.7+0.48	#2	18.0	39.0	2827.4	9200.0	4	6,178	24,710	4 / 12
P4	14.5^o	59.5^o	37.86	37.9	26.27	28.92	26.69	39.0	0.7+0.37	#3	14.5	39.0	2436.2	9424.8	6	5,183	31,095	5 / 12
P5	30.5^o	90.0^o	38.30	38.5	26.78	29.43	26.69	TD90USED	0.7+0.32	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
P5	30.5^o	120.5^o	38.96	39.0	27.29	29.95	26.69	40.0	0.7+0.27	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	8 / 12
P6	14.5^o	135.0^o	39.17	39.2	27.50	30.15	26.69	40.0	0.7+0.06	#5	14.5	40.0	2436.2	9424.8	6	5,315	31,892	9 / 12
P7	18.0^o	153.0^o	39.37	39.4	27.68	30.33	26.69	40.5	0.7+0.36	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0^o	171.0^o	39.48	39.6	27.78	30.43	26.69	40.5	0.7+0.25	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0^o	180.0^o	39.49	39.6	27.79	30.44	26.69	40.5	0.7+0.24	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	12 / 12

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

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

18000

1800.0

　R = Inside Radius in Corroded Condition

R =

9003.2

900.32

　L = Design Liquid level

L =

14500

1450.0

　CA = Corrosion Allowance

CA =

3.2

0.32

　Wt = Total Weight at Operating Condition

Wt =

19,259,269

1963898.9

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa

S =

230.0

MPa

2345.347

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

0.596

　γ = Liquid Density

γ =

5.844763E-6

N/mm³

596.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.20483

degree

0.42245

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

52.34583

degree

0.91361

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9960751

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0944815

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4100000

　C5 = 22 / φ

C5 =

0.9089093

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4100000

Calculation Result :

　PM = P×R/2

PM =

7946.224

N-mm

81.029

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

271.417

N-mm

2.768

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

18.001

N-mm

0.184

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8384.84

N/mm

8550.157

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7685.73

N/mm

7837.263

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

39.48

3.948

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

38.27

3.827

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

216.22

MPa

2204.83

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

897,133,424

N-mm

9148.215×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

341,203,460

N-mm

3479.307×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

450,791,801

N-mm

4596.797×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

160,252,601

N-mm

1634.122×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

224.293

N/mm

228.715

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

520,171,375

N-mm

5304.272×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

273,628,974

N-mm

2790.239×10³

Kg-cm

　Za = IH / LA × t

Za =

93,925,995

mm³

93.926×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

4,345,188,157

mm³

4345.188×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.8569E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.227031E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1873.604

187.36

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

57.091

N/mm

58.217

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

45,754,300

N-mm

466.564×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

22,990,631

N-mm

234.439×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

801,429

mm³

8014.295

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

212,712,858

mm³

212.713×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

265.417

26.542

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

526.095

52.61

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

278.501

N/mm

283.992

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

193.329

N/mm

197.141

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,466,045

149495.0

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

38772.815

3953.7

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7382.624

738.262

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의한 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	τ_xy	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	18006.4	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P1	9	17895.6	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P2	27	17025.1	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P3	45	15369.4	0	0	1.7652	7946.22							7946.22	7946.22	221.96	< OK	230	37.75	37.82	39.0	0.07	3.50	0	0	0	0
P4	59.5	13572.7	930.5	0.0054	1.7706	7946.22	47.12	1.85					7993.34	7948.07	222.65	< OK	230	37.86	37.92	39.0	0.06	3.20	0.597	0.023	0.099	0.004
P5	90	9003.2	5500.0	0.0321	1.7973	7946.22	271.42	18.00	224.29	57.09	278.50	193.33	8384.84	7685.73	222.18	< OK	230	38.27	38.45	39.5	0.18	3.40	3.437	0.228	0.573	0.038	Column Attached Equator Plate
P5	120.5	4433.7	10069.5	0.0589	1.8241	7946.22	200.26	329.61					8146.48	8275.84	223.15	< OK	230	38.90	38.97	40.0	0.07	2.98	2.536	4.174	0.423	0.696
P6	135	2637.0	11866.2	0.0694	1.8346	7946.22	275.54	348.88					8221.76	8295.11	224.42	< OK	230	39.11	39.18	40.0	0.07	2.43	3.49	4.418	0.582	0.736
P7	153	981.3	13521.9	0.0790	1.8442	7946.22	342.61	368.93					8288.84	8315.15	222.57	< OK	230	39.30	39.37	40.5	0.07	3.23	4.339	4.672	0.723	0.779
P8	171	110.8	14392.4	0.0841	1.8493	7946.22	377.21	380.14					8323.44	8326.36	223.19	< OK	230	39.40	39.47	40.5	0.07	2.96	4.777	4.814	0.796	0.802
P9	180	0	14503.2	0.0848	1.85	7946.22	381.59	381.59					8327.81	8327.81	223.27	< OK	230	39.41	39.48	40.5	0.07	2.93	4.833	4.833	0.805	0.805

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

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

18000

1800.0

　R = Inside Radius in Corroded Condition

R =

9000

900.0

　L = Hydrostatic-test Water Level

L =

18000

1800.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

32,139,894

3277357.1

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa

S =

394.25

MPa

4020.231

Kg/cm²

　P = Design internal GAS Pressure

P =

1.765

MPa

18.0

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

10.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

24.27465

degree

0.42367

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9959448

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0974476

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4111111

　C5 = 22 / φ

C5 =

0.9062952

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4111111

Calculation Result :

　PM = P×R/2

PM =

7943.4

N-mm

81.0

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

661.949

N-mm

6.75

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

132.39

N-mm

1.35

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

8883.26

N/mm

9058.404

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

7612.2

N/mm

7762.284

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

22.19

2.219

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

21.15

2.115

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

362.589

MPa

3697.379

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,496,605,307

N-mm

15261.127×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

567,379,312

N-mm

5785.659×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

752,014,566

N-mm

7668.414×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

266,573,697

N-mm

2718.295×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

372.415

N/mm

379.758

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

867,867,174

N-mm

8849.782×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

456,414,316

N-mm

4654.131×10³

Kg-cm

　Za = IH / LA × t

Za =

65,250,509

mm³

65.251×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

4,376,861,061

mm³

4376.861×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.8838E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.280747E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1878.179

187.818

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

94.501

N/mm

96.364

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

76,331,568

N-mm

778.365×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

38,355,103

N-mm

391.113×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

807,732

mm³

8077.324

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

215,536,570

mm³

215.537×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

266.842

26.684

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

528.891

52.889

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

463.59

N/mm

472.73

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

322.105

N/mm

328.456

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

2,448,674

249695.2

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

65095.462

6637.9

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7400.0

740.0

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의한 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	τ_xy	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	18000.0	0	0	1.7652	7943.4							7943.40	7943.40	378.26	< OK	394.25	20.15	20.17	21.0	0.02	4.06	0	0	0	0
P1	9	17889.2	110.8	0.0011	1.7663	7943.4	7.34	2.44					7950.74	7945.84	378.49	< OK	394.25	20.16	20.18	21.0	0.02	4.00	0.055	0.018	0.009	0.003
P2	27	17019.1	980.9	0.0096	1.7748	7943.4	65.35	21.23					8008.75	7964.63	371.48	< OK	394.25	20.26	20.28	21.5	0.02	5.78	0.494	0.16	0.082	0.027
P3	45	15364.0	2636.0	0.0259	1.7911	7943.4	177.82	54.84					8121.22	7998.24	374.90	< OK	394.25	20.44	20.47	21.5	0.03	4.91	1.343	0.414	0.224	0.069
P4	59.5	13567.8	4432.2	0.0435	1.8087	7943.4	304.03	87.15					8247.43	8030.55	378.66	< OK	394.25	20.65	20.67	21.5	0.02	3.95	2.297	0.658	0.383	0.11
P5	90	9000.0	9000.0	0.0883	1.8535	7943.4	661.95	132.39	372.42	94.50	463.59	322.10	8883.26	7612.20	379.07	< OK	394.25	21.15	21.18	22.0	0.03	3.85	5	1	0.833	0.167	Column Attached Equator Plate
P5	120.5	4432.2	13567.8	0.1331	1.8983	7943.4	490.30	707.19					8433.70	8650.59	379.74	< OK	394.25	21.67	21.69	22.5	0.02	3.68	3.703	5.342	0.617	0.89
P6	135	2636.0	15364.0	0.1507	1.9159	7943.4	616.52	739.50					8559.92	8682.90	374.87	< OK	394.25	21.87	21.89	23.0	0.02	4.91	4.657	5.586	0.776	0.931
P7	153	980.9	17019.1	0.1669	1.9321	7943.4	728.99	773.11					8672.39	8716.51	378.02	< OK	394.25	22.05	22.08	23.0	0.03	4.12	5.506	5.84	0.918	0.973
P8	171	110.8	17889.2	0.1754	1.9406	7943.4	787.00	791.90					8730.40	8735.30	379.69	< OK	394.25	22.15	22.18	23.0	0.03	3.69	5.945	5.982	0.991	0.997
P9	180	0	18000.0	0.1765	1.9417	7943.4	794.34	794.34					8737.74	8737.74	379.90	< OK	394.25	22.16	22.19	23.0	0.03	3.64	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])= 46
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 318231.293
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 18000
MRA(sWt[tid][20][10])= 1017.878
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 =	10	Columns
2. gCol[tid][2] =	Column OD	OD =	863.6	mm
3. gCol[tid][3] =	Column thk	thk =	9.65	mm
4. gCol[tid][4] =	Tank Height	Htank =	12000	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3700	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8300	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	17600	mm
8. gCol[tid][8] =	Brace Angle	BRang =	33.2354	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.1015	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	t39 ~ 40.5	SHT	46	318.231	388.242	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t40.5, t12×3013×3700	SHT	10	12.567	13.823	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø863.6×9.65t × 8300L	PCS	10	16.867	16.867	000,000	000,000	3
4	BRACE ( PIPE, θ= 33.2354 deg.)	null	Ø0×0t × 9923L	PCS	20			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				86	347.665	418.932	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. TKK	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 25000 mm, CA = 3 mm, SG = 0.6, Pg= 17.9 kg/cm2(=1755.39 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=2406.6 kPa
Material : SA516-65, EXTERNAL CHART NO. [CS-2], DTEMP = 87 ℃, Sd = 148.486 MPa, St = 228 MPa, Samb = 161 MPa, LSR = Samb/Sd = 1.084, Ft = 450 MPa, Fy = 240 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	0^o	25006.0	0	0	1755.4	1755.4	76.91	77.12	78.0	0.7+0.18	1.7761	1.8473			1.084	σeq = 146.318	1 / 13
P1	6.4^o	6.4^o	24928.1	0	0		1755.4	76.91	77.12	78.0	0.7+0.18	1.7761	1.8473			1.084	σeq = 146.318	2 / 13
P2	12.8^o	19.2^o	24310.5	0	0		1755.4	76.91	77.12	78.0	0.7+0.18	1.7761	1.8473			1.084	σeq = 146.318	3 / 13
P3	12.8^o	32.0^o	23106.1	896.9	5.3		1760.7	77.13	77.35	78.5	0.7+0.45	1.7826	1.8592			1.084	σeq = 145.788	4 / 13
P4	9.5^o	41.5^o	21867.2	2135.8	12.6		1768.0	77.44	77.66	78.5	0.7+0.14	1.7753	1.8592			1.084	σeq = 146.395	5 / 13
P5	45.5^o	87.0^o	13157.4	10845.6	63.8		1819.2	79.66	79.83	81.0	0.7+0.47	1.7831	1.9182			1.084	σeq = 145.938	6 / 13
P6	3.0^o	90.0^o	12503.0	11500.0	67.7		1823.1	79.41	79.99	83.5	0.7+0.31	1.7792	1.9182			1.084	σeq = 146.397	7 / 13
P6	48.5^o	138.5^o	3138.8	20864.2	122.8		1878.2	82.08	82.33	83.5	0.7+0.47	1.7831	1.9772			1.084	σeq = 145.861	9 / 13
P7	9.5^o	148.0^o	1899.9	22103.1	130.1		1885.5	82.38	82.64	83.5	0.7+0.16	1.7758	1.9772			1.084	σeq = 146.423	10 / 13
P8	12.8^o	160.8^o	695.5	23307.5	137.1		1892.5	82.68	82.93	84.0	0.7+0.37	1.7806	1.9890			1.084	σeq = 146.065	11 / 13
P9	12.8^o	173.6^o	77.9	23925.1	140.8		1896.2	82.83	83.09	84.0	0.7+0.21	1.7769	1.9890			1.084	σeq = 146.345	12 / 13
P10	6.4^o	180.0^o	0	24003.0	141.2		1896.6	82.85	83.11	84.0	0.7+0.19	1.7765	1.9890	1.7753	1.8473	1.084	σeq = 146.38	13 / 13

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 =	1.7554	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.7753	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.8473	MPa	At Shop ( New & Cold )	N/A

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

Design Code : Div. 2, Di = 25000 mm, CA = 3 mm, SG = 0.6, Pg= 17.9 kg/cm2(=1755.39 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=2405.5 kPa
Material : SA516-65, EXTERNAL CHART NO. [CS-2], DTEMP = 87 ℃, Sd = 148.486 MPa, St = 228 MPa, Samb = 161 MPa, LSR = Samb/Sd = 1.084, Ft = 450 MPa, Fy = 240 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	0^o	25000.0	0	0	2405.5	2405.5	65.37	66.11	68.80	78.0	1.7761	1.8473	σeq = 223.903	1 / 13
P1	6.4^o	6.4^o	24922.1	77.9	0.8		2406.3	65.40	66.14	68.83	78.0	1.7761	1.8473	σeq = 224	2 / 13
P2	12.8^o	19.2^o	24304.7	695.3	6.8		2412.3	65.56	66.30	68.99	78.0	1.7761	1.8473	σeq = 222.504	3 / 13
P3	12.8^o	32.0^o	23100.6	1899.4	18.6		2424.1	65.89	66.63	69.32	78.5	1.7826	1.8592	σeq = 224.003	4 / 13
P4	9.5^o	41.5^o	21861.9	3138.1	30.8		2436.3	66.22	66.96	69.65	78.5	1.7753	1.8592	σeq = 223.299	5 / 13
P5	45.5^o	87.0^o	13154.2	11845.8	116.2		2521.7	68.58	69.32	72.01	81.0	1.7831	1.9182	σeq = 223.349	6 / 13
P6	3.0^o	90.0^o	12500.0	12500.0	122.6		2528.1	68.75	69.49	72.18	83.5	1.7792	1.9182	σeq = 223.361	7 / 13
P6	48.5^o	138.5^o	3138.1	21861.9	214.4		2619.9	71.28	72.02	74.72	83.5	1.7831	1.9772	σeq = 223.862	9 / 13
P7	9.5^o	148.0^o	1899.4	23100.6	226.5		2632.0	71.62	72.36	75.05	83.5	1.7758	1.9772	σeq = 223.199	10 / 13
P8	12.8^o	160.8^o	695.3	24304.7	238.3		2643.8	71.94	72.68	75.37	84.0	1.7806	1.9890	σeq = 222.517	11 / 13
P9	12.8^o	173.6^o	77.9	24922.1	244.4		2649.9	72.11	72.85	75.54	84.0	1.7769	1.9890	σeq = 223.192	12 / 13
P10	6.4^o	180.0^o	0	25000.0	245.2		2650.7	72.13	72.87	75.56	84.0	1.7765	1.9890	σeq = 223.278	13 / 13

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 =

1.7554

at Site

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

Pset(MAWP) =

2.3786

24.2545

CASE 2

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

MAWP =

1.7753

at Site

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

Pset(MAWP) =

2.4055

24.5293

CASE 3

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

MAP =

1.8473

at Shop

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

Pset(MAP) =

2.5031

25.5245

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

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	0^o	25006.0	0	0	25000.0	0	0	75.00	78.0	1.7761	1.8473	529.8381	1 / 13
P1	6.4^o	6.4^o	24928.1	0	0	24922.1	77.9	0.8	75.00	78.0	1.7761	1.8473	529.8381	2 / 13
P2	12.8^o	19.2^o	24310.5	0	0	24304.7	695.3	6.8	75.00	78.0	1.7761	1.8473	529.8381	3 / 13
P3	12.8^o	32.0^o	23106.1	896.9	5.3	23100.6	1899.4	18.6	75.50	78.5	1.7826	1.8592	536.8835	4 / 13
P4	9.5^o	41.5^o	21867.2	2135.8	12.6	21861.9	3138.1	30.8	75.50	78.5	1.7753	1.8592	536.8835	5 / 13
P5	45.5^o	87.0^o	13157.4	10845.6	63.8	13154.2	11845.8	116.2	78.00	81.0	1.7831	1.9182	572.7996	6 / 13
P6	3.0^o	90.0^o	12503.0	11500.0	67.7	12500.0	12500.0	122.6	78.00	81.0	1.7792	1.9182	572.7996	7 / 13
P6	48.5^o	138.5^o	3138.8	20864.2	122.8	3138.1	21861.9	214.4	80.50	83.5	1.7831	1.9772	609.8636	9 / 13
P7	9.5^o	148.0^o	1899.9	22103.1	130.1	1899.4	23100.6	226.5	80.50	83.5	1.7758	1.9772	609.8636	10 / 13
P8	12.8^o	160.8^o	695.5	23307.5	137.1	695.3	24304.7	238.3	81.00	84.0	1.7806	1.9890	617.4140	11 / 13
P9	12.8^o	173.6^o	77.9	23925.1	140.8	77.9	24922.1	244.4	81.00	84.0	1.7769	1.9890	617.4140	12 / 13
P10	6.4^o	180.0^o	0	24003.0	141.2	0	25000.0	245.2	81.00	84.0	1.7765	1.9890	617.4140	13 / 13

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 =

1.7554

at Site

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

Pset(MAWP) =

2.3786

24.2545

CASE 2

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

MAWP =

1.7753

at Site

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

Pset(MAWP) =

2.4055

24.5293

CASE 3

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

MAP =

1.8473

at Shop

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

Pset(MAP) =

2.5031

25.5245

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

102.9698

SA516-65

Maximum. Allowable External Pressure

MAEP =

529.8381

5.4028

CS-2

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=529.8381 kPa)

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

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	0^o	76.91	77.1	66.11	68.80	35.96	78.0	0.7+0.18	#1	19.2	78.0	2792.5	8377.6	3	13,608	40,825	1 / 13
P1	6.4^o	6.4^o	76.91	77.1	66.14	68.83	35.96	78.0	0.7+0.18									2 / 13
P2	12.8^o	19.2^o	76.91	77.1	66.30	68.99	35.96	78.0	0.7+0.18									3 / 13
P3	12.8^o	32.0^o	77.13	77.4	66.63	69.32	35.96	78.5	0.7+0.45	#2	12.8	78.5	2792.5	9567.7	4	12,710	50,841	4 / 13
P4	9.5^o	41.5^o	77.44	77.7	66.96	69.65	35.96	78.5	0.7+0.14	#3	9.5	78.5	1858.6	8726.6	9	6,661	59,948	5 / 13
P5	45.5^o	87.0^o	79.66	79.8	69.32	72.01	35.96	81.0	0.7+0.47	#4	45.5	81.0	2801.1	9970.0	28	15,531	434,861	6 / 13
P6	3.0^o	90.0^o	79.41	80.0	69.49	72.18	35.96	83.5	0.7+0.31	#5	51.5	83.5	2805.0	11335.6	28	18,416	515,641	7 / 13
P6	48.5^o	138.5^o	82.08	82.3	72.02	74.72	35.96	83.5	0.7+0.47	#5	51.5	83.5	2805.0	11335.6	28	18,416	515,641	9 / 13
P7	9.5^o	148.0^o	82.38	82.6	72.36	75.05	35.96	83.5	0.7+0.16	#6	9.5	83.5	1858.6	8726.6	9	7,085	63,767	10 / 13
P8	12.8^o	160.8^o	82.68	82.9	72.68	75.37	35.96	84.0	0.7+0.37	#7	12.8	84.0	2792.5	9367.7	4	13,601	54,403	11 / 13
P9	12.8^o	173.6^o	82.83	83.1	72.85	75.54	35.96	84.0	0.7+0.21	#8	19.2	84.0	2792.5	8377.6	3	14,655	43,965	12 / 13
P10	6.4^o	180.0^o	82.85	83.1	72.87	75.56	35.96	84.0	0.7+0.19	#8	19.2	84.0	2792.5	8377.6	3	14,655	43,965	13 / 13

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 3. T-3213(3)	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.596, Pg= 18.0 kg/cm²(=1765.197 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2258.8 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 70 ℃, 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	0^o	37.75	37.8	25.82	28.42	26.69	39.0	0.7+0.48	#1	27.0	39.0	2827.4	8482.3	3	6,975	20,926	1 / 12
P1	9.0^o	9.0^o	37.75	37.8	25.83	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0^o	27.0^o	37.75	37.8	25.93	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0^o	45.0^o	37.75	37.8	26.12	28.72	26.69	39.0	0.7+0.48	#2	18.0	39.0	2827.4	9200.0	4	6,178	24,710	4 / 12
P4	14.5^o	59.5^o	37.86	37.9	26.32	28.92	26.69	39.0	0.7+0.38	#3	14.5	39.0	2436.2	9424.8	6	5,183	31,095	5 / 12
P5	30.5^o	90.0^o	38.27	38.4	26.83	29.43	26.69	TD90USED	0.7+0.35	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
P5	30.5^o	120.5^o	38.90	39.0	27.34	29.95	26.69	40.0	0.7+0.33	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	8 / 12
P6	14.5^o	135.0^o	39.11	39.2	27.54	30.15	26.69	40.0	0.7+0.12	#5	14.5	40.0	2436.2	9424.8	6	5,315	31,892	9 / 12
P7	18.0^o	153.0^o	39.30	39.4	27.73	30.33	26.69	40.5	0.7+0.43	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0^o	171.0^o	39.40	39.5	27.83	30.43	26.69	40.5	0.7+0.33	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0^o	180.0^o	39.41	39.5	27.84	30.44	26.69	40.5	0.7+0.32	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	12 / 12

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 35.96 mm; Pe :102.97 kPa ≤ Pa = 103.02 kPa = 2*Fha*(tc/Ro)*1000; Fhe=39.181; Fic=39.181 MPa; Fha=19.59 MPa; FS=2

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=25000 (cm), Sd=148.486 MPa, Pg=1.7554 (MPa), HT_UPPCOL = 47100.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=726.738 (N-mm), Nφ=119.289 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

25000

2500.0

　R = Inside Radius in Corroded Condition

R =

12503

1250.3

　L = Design Liquid level

L =

24000

2400.0

　CA = Corrosion Allowance

CA =

3.0

0.3

　Wt = Total Weight at Operating Condition

Wt =

60,610,333

6180533.9

　S = Allowable Stress for the Design Condition SA516-65, Sd = 148.486MPa

S =

148.486

MPa

1514.136

Kg/cm²

　P = Design internal GAS Pressure

P =

1.755

MPa

17.9

Kg/cm²

　SG = Design Specific Gravity

SG =

0.6

　γ = Liquid Density

γ =

5.88399E-6

N/mm³

600.0

Kg/m³

　d = Outsdie diameter of Column

d =

1066.8

106.68

　N = Number of Support Column

N =

14.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

22.13561

degree

0.38634

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

23.10617

degree

0.40328

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9997693

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0058552

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.3768000

　C5 = 22 / φ

C5 =

0.9938738

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.3768000

Calculation Result :

　PM = P×R/2

PM =

10973.883

N-mm

111.902

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

726.738

N-mm

7.411

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

119.289

N-mm

1.216

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

11941.03

N/mm

12176.462

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

10600.23

N/mm

10809.226

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

83.11

8.311

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

79.41

7.941

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

140.071

MPa

1428.327

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,993,942,002

N-mm

20332.55×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

794,009,651

N-mm

8096.645×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

999,487,769

N-mm

10191.939×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

382,039,563

N-mm

3895.719×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

317.386

N/mm

323.644

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

1,194,823,183

N-mm

12183.806×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

614,980,666

N-mm

6271.058×10³

Kg-cm

　Za = IH / LA × t

Za =

316,224,245

mm³

316.224×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

8,979,669,787

mm³

8979.67×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.189E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

4.769617E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

2385.308

238.531

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

76.973

N/mm

78.491

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

91,240,121

N-mm

930.39×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

45,735,224

N-mm

466.369×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

1,185,355

mm³

11853.551

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

365,937,910

mm³

365.938×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

308.716

30.872

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

612.822

61.282

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

492.945

N/mm

502.664

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

342.309

N/mm

349.058

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

3,316,322

338170.8

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

90996.756

9279.1

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

9422.261

942.226

piDeg=[22.13560759591294] piRad=[0.3863392344781473] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=25000 (cm), Sd=148.486 MPa, Pg=1.7554 (MPa), HT_UPPCOL = 47100.0 (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 의한 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	τ_xy	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	25006.0	0	0	1.7554	10973.88							10973.88	10973.88	146.32	< OK	148.486	76.91	77.12	78.0	0.21	1.46	0	0	0	0
P1	6.4	24928.1	0	0	1.7554	10973.88							10973.88	10973.88	146.32	< OK	148.486	76.91	77.12	78.0	0.21	1.46	0	0	0	0
P2	19.2	24310.5	0	0	1.7554	10973.88							10973.88	10973.88	146.32	< OK	148.486	76.91	77.12	78.0	0.21	1.46	0	0	0	0
P3	32	23106.1	896.9	0.0053	1.7607	10973.88	58.63	7.35					11032.51	10981.23	145.79	< OK	148.486	77.13	77.35	78.5	0.22	1.82	0.382	0.048	0.064	0.008
P4	41.5	21867.2	2135.8	0.0126	1.768	10973.88	132.49	24.63					11106.38	10998.52	146.40	< OK	148.486	77.44	77.66	78.5	0.22	1.41	0.864	0.161	0.144	0.027
P5	87	13157.4	10845.6	0.0638	1.8192	10973.88	679.39	118.50					11653.27	11092.38	145.94	< OK	148.486	79.66	79.83	81.0	0.17	1.72	4.432	0.773	0.739	0.129
P6	90	12503.0	11500.0	0.0677	1.8231	10973.88	726.74	119.29	317.39	76.97	492.94	342.31	11941.03	10600.23	146.40	< OK	148.486	79.41	79.99	80.5	0.58	1.41	4.741	0.778	0.79	0.13	Column Attached Equator Plate
P6	138.5	3138.8	20864.2	0.1228	1.8782	10973.88	706.97	827.95					11680.86	11801.84	145.86	< OK	148.486	82.08	82.32	83.5	0.24	1.77	4.612	5.401	0.769	0.9
P7	148	1899.9	22103.1	0.1301	1.8855	10973.88	777.14	848.94					11751.02	11822.82	146.42	< OK	148.486	82.38	82.63	83.5	0.25	1.39	5.069	5.538	0.845	0.923
P8	160.8	695.5	23307.5	0.1371	1.8925	10973.88	844.43	870.25					11818.31	11844.13	146.06	< OK	148.486	82.68	82.93	84.0	0.25	1.63	5.508	5.677	0.918	0.946
P9	173.6	77.9	23925.1	0.1408	1.8962	10973.88	878.62	881.49					11852.50	11855.37	146.34	< OK	148.486	82.83	83.09	84.0	0.26	1.44	5.731	5.75	0.955	0.958
P10	180	0	24003.0	0.1412	1.8966	10973.88	882.92	882.92					11856.80	11856.80	146.38	< OK	148.486	82.85	83.11	84.0	0.26	1.42	5.759	5.759	0.96	0.96

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=25000 (cm), Syt=228 MPa, MAWP=2.19425 (MPa), HT_UPPCOL = 47300.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=1276.908 (N-mm), Nφ=255.382 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

25000

2500.0

　R = Inside Radius in Corroded Condition

R =

12500

1250.0

　L = Hydrostatic-test Water Level

L =

25000

2500.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

90,508,955

9229344.9

　S = Allowable Stress for the Design Condition SA516-65, Sd = 228MPa

S =

228.0

MPa

2324.953

Kg/cm²

　P = Design internal GAS Pressure

P =

1.755

MPa

17.9

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

1066.8

106.68

　N = Number of Support Column

N =

14.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

22.23461

degree

0.38807

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9995999

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.0101264

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.3784000

　C5 = 22 / φ

C5 =

0.9894484

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.3784000

Calculation Result :

　PM = P×R/2

PM =

10971.25

N-mm

111.876

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

1276.908

N-mm

13.021

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

255.382

N-mm

2.604

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

12605.02

N/mm

12853.543

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

10493.62

N/mm

10700.514

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

54.96

5.496

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

51.43

5.143

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

209.401

MPa

2135.296

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

2,976,824,175

N-mm

30355.159×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

1,178,727,152

N-mm

12019.672×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

1,492,169,456

N-mm

15215.894×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

567,341,146

N-mm

5785.27×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

470.299

N/mm

479.572

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

1,784,969,876

N-mm

18201.627×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

918,486,241

N-mm

9365.953×10³

Kg-cm

　Za = IH / LA × t

Za =

258,086,691

mm³

258.087×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

9,090,473,172

mm³

9090.473×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

1.2158E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

4.833577E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

2395.134

239.513

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

113.438

N/mm

115.675

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

136,194,425

N-mm

1388.797×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

68,269,118

N-mm

696.151×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

1,200,605

mm³

12006.051

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

373,853,946

mm³

373.854×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

311.388

31.139

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

618.085

61.809

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

733.009

N/mm

747.461

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

509.725

N/mm

519.775

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

4,959,123

505689.8

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

137,121

13982.4

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

9460.0

946.0

piDeg=[22.234610135922413] piRad=[0.38806715476915005] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=25000 (cm), Syt=228 MPa, MAWP=2.19425 (MPa), HT_UPPCOL = 47300.0 (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 의한 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	τ_xy	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	25000.0	0	0	1.7554	10971.25							10971.25	10971.25	223.90	< OK	228	48.12	48.21	49.0	0.09	1.80	0	0	0	0
P1	6.4	24922.1	77.9	0.0008	1.7562	10971.25	7.16	2.38					10978.41	10973.63	224.00	< OK	228	48.14	48.23	49.0	0.09	1.75	0.028	0.009	0.005	0.002
P2	19.2	24304.7	695.3	0.0068	1.7622	10971.25	64.13	21.10					11035.38	10992.35	222.50	< OK	228	48.31	48.40	49.5	0.09	2.41	0.251	0.083	0.042	0.014
P3	32	23100.6	1899.4	0.0186	1.774	10971.25	176.22	56.61					11147.47	11027.86	224.00	< OK	228	48.63	48.72	49.5	0.09	1.75	0.69	0.222	0.115	0.037
P4	41.5	21861.9	3138.1	0.0308	1.7862	10971.25	293.11	91.57					11264.36	11062.82	223.30	< OK	228	48.97	49.06	50.0	0.09	2.06	1.148	0.359	0.191	0.06
P5	87	13154.2	11845.8	0.1162	1.8716	10971.25	1198.04	254.05					12169.29	11225.30	223.35	< OK	228	51.43	51.41	52.5	-0.02	2.04	4.691	0.995	0.782	0.166
P6	90	12500.0	12500.0	0.1226	1.878	10971.25	1276.91	255.38	470.30	113.44	733.01	509.72	12605.02	10493.62	223.36	< OK	228	51.43	51.59	52.5	0.16	2.03	5	1	0.833	0.167	Column Attached Equator Plate
P6	138.5	3138.1	21861.9	0.2144	1.9698	10971.25	1239.18	1440.72					12210.43	12411.97	223.86	< OK	228	54.00	54.11	55.0	0.11	1.81	4.852	5.641	0.809	0.94
P7	148	1899.4	23100.6	0.2265	1.9819	10971.25	1356.07	1475.68					12327.32	12446.93	223.20	< OK	228	54.33	54.45	55.5	0.12	2.11	5.31	5.778	0.885	0.963
P8	160.8	695.3	24304.7	0.2383	1.9937	10971.25	1468.16	1511.18					12439.41	12482.43	222.52	< OK	228	54.65	54.77	56.0	0.12	2.40	5.749	5.917	0.958	0.986
P9	173.6	77.9	24922.1	0.2444	1.9998	10971.25	1525.12	1529.90					12496.37	12501.15	223.19	< OK	228	54.82	54.94	56.0	0.12	2.11	5.972	5.991	0.995	0.998
P10	180	0	25000.0	0.2452	2.0006	10971.25	1532.29	1532.29					12503.54	12503.54	223.28	< OK	228	54.84	54.96	56.0	0.12	2.07	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])= 88
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 1264251.104
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 25000
MRA(sWt[tid][20][10])= 1963.496
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 =	14	Columns
2. gCol[tid][2] =	Column OD	OD =	1066.8	mm
3. gCol[tid][3] =	Column thk	thk =	15.09	mm
4. gCol[tid][4] =	Tank Height	Htank =	15500	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	4730	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	10770	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	24530	mm
8. gCol[tid][8] =	Brace Angle	BRang =	26.8767	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	11.1275	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	SA516-65	t78 ~ 84	SHT	88	1264.251	1542.386	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t84, t17×3651×4730	SHT	14	42.945	47.240	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1066.8×15.09t × 10770L	PCS	14	59.010	59.010	000,000	000,000	3
4	BRACE ( PIPE, θ= 26.8767 deg.)	null	Ø0×0t × 12074L	PCS	28			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:SA516-65(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)	SA516-65	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				144	1366.206	1648.635	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. 알제리	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 11000 mm, CA = 1.5 mm, SG = 0.536, Pg= 21.9239 kg/cm2(=2150 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=2870.8 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 100 ℃, 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

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.

mmH2O

kPa

MPa

LSR

0^o

11003.0

2150.0

38.93

38.98

40.0

0.7+0.32

2.2083

2.2948

1.0

σeq = 153.613

1 / 8

15.0^o

10815.5

2150.0

38.93

38.98

40.0

0.7+0.32

2.2083

2.2948

1.0

σeq = 153.613

2 / 8

30.0^o

45.0^o

9391.6

2150.0

38.93

38.98

40.0

0.7+0.32

2.2083

2.2948

1.0

σeq = 153.613

3 / 8

45.0^o

90.0^o

5501.5

2100.0

11.0

2161.0

39.18

39.17

40.5

0.7+0.12

2.1973

2.2948

1.0

σeq = 154.618

4 / 8

45.0^o

135.0^o

1611.4

5990.1

31.5

2181.5

39.48

39.53

40.5

0.7+0.27

2.2054

2.3235

1.0

σeq = 153.866

6 / 8

30.0^o

165.0^o

187.5

7414.0

39.0

2189.0

39.61

39.66

40.5

0.7+0.14

2.1979

2.3235

1.0

σeq = 154.393

7 / 8

15.0^o

180.0^o

7601.5

40.0

2190.0

39.63

39.68

40.5

0.7+0.12

2.1969

2.3235

2.1969

2.2948

1.0

σeq = 154.462

8 / 8

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 =	2.1500	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	2.1969	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.2948	MPa	At Shop ( New & Cold )	N/A

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

Design Code : Div. 1, Di = 11000 mm, CA = 1.5 mm, SG = 0.536, Pg= 21.9239 kg/cm2(=2150 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=2856 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 100 ℃, 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

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.

mmH2O

kPa

MPa

0^o

11000.0

2856.0

2856.0

20.59

21.04

21.98

40.0

2.2083

2.2948

σeq = 347.794

1 / 8

15.0^o

10812.6

187.4

1.8

2857.8

20.60

21.05

21.99

40.0

2.2083

2.2948

σeq = 348.092

2 / 8

30.0^o

45.0^o

9389.1

1610.9

15.8

2871.8

20.71

21.16

22.09

40.0

2.2083

2.2948

σeq = 350.358

3 / 8

45.0^o

90.0^o

5500.0

53.9

2909.9

20.99

21.44

22.37

40.5

2.1973

2.2948

σeq = 348.476

4 / 8

45.0^o

135.0^o

1610.9

9389.1

92.1

2948.1

21.27

21.72

22.66

40.5

2.2054

2.3235

σeq = 352.333

6 / 8

30.0^o

165.0^o

187.4

10812.6

106.0

2962.0

21.37

21.82

22.76

40.5

2.1979

2.3235

σeq = 354.52

7 / 8

15.0^o

180.0^o

11000.0

107.9

2963.9

21.39

21.84

22.77

40.5

2.1969

2.3235

σeq = 354.809

8 / 8

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 =

2.1500

at Site

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

Pset(MAWP) =

2.7950

28.5011

CASE 2

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

MAWP =

2.1969

at Site

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

Pset(MAWP) =

2.8560

29.1231

CASE 3

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

MAP =

2.2948

at Shop

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

Pset(MAP) =

2.9832

30.4202

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

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	0^o	11003.0	0	0	11000.0	0	0	38.50	40.0	2.2083	2.2948	630.3543	1 / 8
P1	15.0^o	15.0^o	10815.5	0	0	10812.6	187.4	1.8	38.50	40.0	2.2083	2.2948	630.3543	2 / 8
P2	30.0^o	45.0^o	9391.6	0	0	9389.1	1610.9	15.8	38.50	40.0	2.2083	2.2948	630.3543	3 / 8
P3	45.0^o	90.0^o	5501.5	2100.0	11.0	5500.0	5500.0	53.9	38.50	40.0	2.1973	2.2948	630.3543	4 / 8
P3	45.0^o	135.0^o	1611.4	5990.1	31.5	1610.9	9389.1	92.1	39.00	40.5	2.2054	2.3235	646.7227	6 / 8
P4	30.0^o	165.0^o	187.5	7414.0	39.0	187.4	10812.6	106.0	39.00	40.5	2.1979	2.3235	646.7227	7 / 8
P5	15.0^o	180.0^o	0	7601.5	40.0	0	11000.0	107.9	39.00	40.5	2.1969	2.3235	646.7227	8 / 8

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 =

2.1500

at Site

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

Pset(MAWP) =

2.7950

28.5011

CASE 2

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

MAWP =

2.1969

at Site

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

Pset(MAWP) =

2.8560

29.1231

CASE 3

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

MAP =

2.2948

at Shop

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

Pset(MAP) =

2.9832

30.4202

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

102.9698

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

630.3543

6.4278

CS-4

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=630.3543 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 =	38.5	mm
Outside Radius of tank top head	Ro =	5540.0	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0008687
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-4)	Factor B =	90.70553	MPa
Design External Pressure, 　Pe = 1.05 (kg/cm²)	Pe =	102.9698	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	630.3543	kPa
Check : Pe < MAEP			O.K

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

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.

SHT

kg/sht

0^o

38.93

39.0

21.04

21.98

17.01

40.0

0.7+0.32

45.0

40.0

2879.8

8639.4

7,422

22,265

1 / 8

15.0^o

38.93

39.0

21.05

21.99

17.01

40.0

0.7+0.32

2 / 8

30.0^o

45.0^o

38.93

39.0

21.16

22.09

17.01

40.0

0.7+0.32

3 / 8

45.0^o

90.0^o

39.18

39.2

21.44

22.37

17.01

40.5

0.7+0.12

90.0

40.5

2879.8

8739.4

7,121

85,457

4 / 8

45.0^o

135.0^o

39.48

39.5

21.72

22.66

17.01

40.5

0.7+0.27

6 / 8

30.0^o

165.0^o

39.61

39.7

21.82

22.76

17.01

40.5

0.7+0.14

45.0

40.5

2879.8

8639.4

7,514

22,543

7 / 8

15.0^o

180.0^o

39.63

39.7

21.84

22.77

17.01

40.5

0.7+0.12

8 / 8

], CalcRpt[i][1]=[

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

Design Code : Div. 2, Di = 25000 mm, CA = 3 mm, SG = 0.6, Pg= 17.9 kg/cm²(=1755.39 kPa), Pe= 1.05 kg/cm²(=102.97 kPa), 수압테스트압력 GsetMAWP=2405.5 kPa
Material : SA516-65, EXTERNAL CHART NO. [CS-2], DTEMP = 87 ℃, Sd = 148.486 MPa, St = 228 MPa, Samb = 161 MPa, LSR = Samb/Sd = 1.084, Ft = 450 MPa, Fy = 240 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	0^o	76.91	77.1	66.11	68.80	35.96	78.0	0.7+0.18	#1	19.2	78.0	2792.5	8377.6	3	13,608	40,825	1 / 13
P1	6.4^o	6.4^o	76.91	77.1	66.14	68.83	35.96	78.0	0.7+0.18									2 / 13
P2	12.8^o	19.2^o	76.91	77.1	66.30	68.99	35.96	78.0	0.7+0.18									3 / 13
P3	12.8^o	32.0^o	77.13	77.4	66.63	69.32	35.96	78.5	0.7+0.45	#2	12.8	78.5	2792.5	9567.7	4	12,710	50,841	4 / 13
P4	9.5^o	41.5^o	77.44	77.7	66.96	69.65	35.96	78.5	0.7+0.14	#3	9.5	78.5	1858.6	8726.6	9	6,661	59,948	5 / 13
P5	45.5^o	87.0^o	79.66	79.8	69.32	72.01	35.96	81.0	0.7+0.47	#4	45.5	81.0	2801.1	9970.0	28	15,531	434,861	6 / 13
P6	3.0^o	90.0^o	79.41	80.0	69.49	72.18	35.96	TD90USED	0.7+0.31	#5	51.5	83.5	2805.0	11335.6	28	18,416	515,641	7 / 13
P6	48.5^o	138.5^o	82.08	82.3	72.02	74.72	35.96	83.5	0.7+0.47	#5	51.5	83.5	2805.0	11335.6	28	18,416	515,641	9 / 13
P7	9.5^o	148.0^o	82.38	82.6	72.36	75.05	35.96	83.5	0.7+0.16	#6	9.5	83.5	1858.6	8726.6	9	7,085	63,767	10 / 13
P8	12.8^o	160.8^o	82.68	82.9	72.68	75.37	35.96	84.0	0.7+0.37	#7	12.8	84.0	2792.5	9367.7	4	13,601	54,403	11 / 13
P9	12.8^o	173.6^o	82.83	83.1	72.85	75.54	35.96	84.0	0.7+0.21	#8	19.2	84.0	2792.5	8377.6	3	14,655	43,965	12 / 13
P10	6.4^o	180.0^o	82.85	83.1	72.87	75.56	35.96	84.0	0.7+0.19	#8	19.2	84.0	2792.5	8377.6	3	14,655	43,965	13 / 13

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 17.01 mm; Pe :102.97 kPa ≤ Pa = 103.05 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003514; Factor_B = 36.654 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=11000 (cm), Sd=158 MPa, Pg=2.15 (MPa), HT_UPPCOL = 24300.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=59.253 (N-mm), Nφ=1.475 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

11000

1100.0

　R = Inside Radius in Corroded Condition

R =

5501.5

550.15

　L = Design Liquid level

L =

7600

760.0

　CA = Corrosion Allowance

CA =

1.5

0.15

　Wt = Total Weight at Operating Condition

Wt =

4,014,814

409397.1

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 158MPa

S =

158.0

MPa

1611.152

Kg/cm²

　P = Design internal GAS Pressure

P =

2.15

MPa

21.924

Kg/cm²

　SG = Design Specific Gravity

SG =

0.536

　γ = Liquid Density

γ =

5.256364E-6

N/mm³

536.0

Kg/m³

　d = Outsdie diameter of Column

d =

558.8

55.88

　N = Number of Support Column

N =

6.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.21995

degree

0.45762

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

67.5601

degree

1.17915

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9921654

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1794191

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4418182

　C5 = 22 / φ

C5 =

0.8390559

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4418182

Calculation Result :

　PM = P×R/2

PM =

5914.113

N-mm

60.307

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

59.253

N-mm

0.604

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

1.475

N-mm

0.015

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

6115.65

N/mm

6236.227

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

5769.41

N/mm

5883.161

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

39.68

3.968

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

39.18

3.918

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

152.636

MPa

1556.454

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

321,265,734

N-mm

3275.999×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

109,713,630

N-mm

1118.768×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

162,866,854

N-mm

1660.78×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

47,590,312

N-mm

485.286×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

187.607

N/mm

191.306

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

189,350,383

N-mm

1930.837×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

105,461,929

N-mm

1075.412×10³

Kg-cm

　Za = IH / LA × t

Za =

40,876,328

mm³

40.876×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

1,248,488,933

mm³

1248.489×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.7667E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.903102E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1236.995

123.699

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

45.326

N/mm

46.22

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

17,191,781

N-mm

175.307×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

8,715,437

N-mm

88872.724

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

379,290

mm³

3792.899

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

72,072,708

mm³

72.073×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

190.02

19.002

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

376.059

37.606

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

146.18

N/mm

149.062

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

103.707

N/mm

105.752

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

514,170

52430.8

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

10017.238

1021.5

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

4861.325

486.133

piDeg=[26.219945947374477] piRad=[0.45762438647662845] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=11000 (cm), Sd=158 MPa, Pg=2.15 (MPa), HT_UPPCOL = 24300.0 (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 의한 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	τ_xy	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	11003.0	0	0	2.15	5914.11							5914.11	5914.11	153.61	< OK	158	38.93	38.98	40.0	0.05	2.78	0	0	0	0
P1	15	10815.5	0	0	2.15	5914.11							5914.11	5914.11	153.61	< OK	158	38.93	38.98	40.0	0.05	2.78	0	0	0	0
P2	45	9391.6	0	0	2.15	5914.11							5914.11	5914.11	153.61	< OK	158	38.93	38.98	40.0	0.05	2.78	0	0	0	0
P3	90	5501.5	2100.0	0.0110	2.161	5914.11	59.25	1.47	187.61	45.33	146.18	103.71	6115.65	5769.41	154.62	< OK	158	39.18	39.17	40.0	-0.01	2.14	2.235	0.056	0.372	0.009	Column Attached Equator Plate
P3	135	1611.4	5990.1	0.0315	2.1815	5914.11	74.30	98.93					5988.41	6013.04	153.87	< OK	158	39.48	39.53	40.5	0.05	2.62	2.802	3.731	0.467	0.622
P4	165	187.5	7414.0	0.0390	2.189	5914.11	105.84	108.56					6019.95	6022.67	154.39	< OK	158	39.61	39.66	40.5	0.05	2.28	3.992	4.094	0.665	0.682
P5	180	0	7601.5	0.0400	2.19	5914.11	109.91	109.91					6024.02	6024.02	154.46	< OK	158	39.63	39.68	40.5	0.05	2.24	4.145	4.145	0.691	0.691

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=11000 (cm), Syt=373.5 MPa, MAWP=2.795 (MPa), HT_UPPCOL = 24500.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=247.209 (N-mm), Nφ=49.442 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

11000

1100.0

　R = Inside Radius in Corroded Condition

R =

5500

550.0

　L = Hydrostatic-test Water Level

L =

11000

1100.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

7,492,780

764051.0

　S = Allowable Stress for the Design Condition SA537-CL2, Sd = 373.5MPa

S =

373.5

MPa

3808.64

Kg/cm²

　P = Design internal GAS Pressure

P =

2.15

MPa

21.924

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

558.8

55.88

　N = Number of Support Column

N =

6.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.45242

degree

0.46168

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9916946

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1891263

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4454545

　C5 = 22 / φ

C5 =

0.8316818

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4454545

Calculation Result :

　PM = P×R/2

PM =

5912.5

N-mm

60.291

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

247.209

N-mm

2.521

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

49.442

N-mm

0.504

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

6421.21

N/mm

6547.812

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

5691.45

N/mm

5803.664

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

16.63

1.663

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

16.33

1.633

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

348.476

MPa

3553.466

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

599,409,414

N-mm

6112.275×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

203,231,260

N-mm

2072.382×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

303,872,824

N-mm

3098.64×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

88,358,728

N-mm

901.008×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

343.867

N/mm

350.647

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

352,763,420

N-mm

3597.186×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

196,279,339

N-mm

2001.492×10³

Kg-cm

　Za = IH / LA × t

Za =

23,082,087

mm³

23.082×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

1,279,499,671

mm³

1279.5×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.8912E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

8.113675E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1247.233

124.723

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

82.363

N/mm

83.987

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

32,049,292

N-mm

326.812×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

16,247,507

N-mm

165.678×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

389,121

mm³

3891.21

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

75,223,250

mm³

75.223×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

193.316

19.332

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

382.509

38.251

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

270.489

N/mm

275.822

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

192.509

N/mm

196.305

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

962,323

98129.7

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

19027.244

1940.2

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

4900.0

490.0

piDeg=[26.452424118557175] piRad=[0.46168189600278153] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=11000 (cm), Syt=373.5 MPa, MAWP=2.795 (MPa), HT_UPPCOL = 24500.0 (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 의한 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	τ_xy	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	11000.0	0	0	2.15	5912.5							5912.50	5912.50	347.79	< OK	373.5	15.83	15.84	17.0	0.01	6.88	0	0	0	0
P1	15	10812.6	187.4	0.0018	2.1518	5912.5	7.60	2.51					5920.10	5915.01	348.09	< OK	373.5	15.84	15.85	17.0	0.01	6.80	0.154	0.051	0.026	0.008
P2	45	9389.1	1610.9	0.0158	2.1658	5912.5	66.41	20.48					5978.91	5932.98	350.36	< OK	373.5	15.95	15.96	17.0	0.01	6.20	1.343	0.414	0.224	0.069
P3	90	5500.0	5500.0	0.0539	2.2039	5912.5	247.21	49.44	343.87	82.36	270.49	192.51	6421.21	5691.45	348.48	< OK	373.5	16.33	16.24	17.5	-0.09	6.70	5	1	0.833	0.167	Column Attached Equator Plate
P3	135	1610.9	9389.1	0.0921	2.2421	5912.5	230.24	276.17					6142.74	6188.67	352.33	< OK	373.5	16.51	16.52	17.5	0.01	5.67	4.657	5.586	0.776	0.931
P4	165	187.4	10812.6	0.1060	2.256	5912.5	289.06	294.14					6201.56	6206.64	354.52	< OK	373.5	16.61	16.62	17.5	0.01	5.08	5.846	5.949	0.974	0.992
P5	180	0	11000.0	0.1079	2.2579	5912.5	296.65	296.65					6209.15	6209.15	354.81	< OK	373.5	16.62	16.63	17.5	0.01	5.00	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])= 18
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 130264.56
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 11000
MRA(sWt[tid][20][10])= 410.609
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 =	6	Columns
2. gCol[tid][2] =	Column OD	OD =	558.8	mm
3. gCol[tid][3] =	Column thk	thk =	6.35	mm
4. gCol[tid][4] =	Tank Height	Htank =	8500	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	2450	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	6050	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	10740	mm
8. gCol[tid][8] =	Brace Angle	BRang =	41.5924	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.4821	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	t40 ~ 0	SHT	18	130.265	158.923	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t0, t8×2056×2450	SHT	6	1.981	2.179	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø558.8×6.35t × 6050L	PCS	6	3.140	3.140	000,000	000,000	3
4	BRACE ( PIPE, θ= 41.5924 deg.)	null	Ø0×0t × 8089L	PCS	12			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				42	135.386	164.242	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. 롯데 G1	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 16840 mm, CA = 1.5 mm, SG = 0.646, Pg= 6.0 kg/cm2(=588.399 kPa), Pe= 0.517 kg/cm2(=50.7 kPa), 수압테스트압력 GsetMAWP=809.1 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 80 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 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	0^o	16843.0	0	0	588.4	588.4	19.45	19.46	20.5	0.7+0.34	0.6224	0.6716			1.0	σeq = 130.401	1 / 11
P1	10.0^o	10.0^o	16715.1	0	0		588.4	19.45	19.46	20.5	0.7+0.34	0.6224	0.6716			1.0	σeq = 130.401	2 / 11
P2	20.0^o	30.0^o	15714.7	0	0		588.4	19.45	19.46	20.5	0.7+0.34	0.6224	0.6716			1.0	σeq = 130.401	3 / 11
P3	20.0^o	50.0^o	13834.7	0	0		588.4	19.45	19.46	20.5	0.7+0.34	0.6224	0.6716			1.0	σeq = 130.401	4 / 11
P4	16.0^o	66.0^o	11846.8	1634.7	10.4		598.8	19.78	19.78	21.0	0.7+0.52	0.6284	0.6880			1.0	σeq = 129.339	5 / 11
P5	24.0^o	90.0^o	8421.5	5060.0	32.1		620.5	20.68	20.44	22.5	0.7+0.12	0.6231	0.7044			1.0	σeq = 132.359	6 / 11
P5	40.0^o	130.0^o	3008.3	10473.2	66.3		654.7	21.49	21.49	22.5	0.7+0.31	0.6216	0.7371			1.0	σeq = 131.333	8 / 11
P6	20.0^o	150.0^o	1128.3	12353.2	78.3		666.7	21.84	21.85	23.0	0.7+0.45	0.6260	0.7535			1.0	σeq = 130.57	9 / 11
P7	20.0^o	170.0^o	127.9	13353.6	84.6		673.0	22.03	22.05	23.0	0.7+0.25	0.6197	0.7535			1.0	σeq = 131.806	10 / 11
P8	10.0^o	180.0^o	0	13481.5	85.4		673.8	22.06	22.07	23.0	0.7+0.23	0.6189	0.7535	0.6189	0.6716	1.0	σeq = 131.964	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 =	0.6189	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.6716	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 6. 롯데 G1	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 16840 mm, CA = 1.5 mm, SG = 0.646, Pg= 6.0 kg/cm2(=588.399 kPa), Pe= 0.517 kg/cm2(=50.7 kPa), 수압테스트압력 GsetMAWP=804.6 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 80 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 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	0^o	16840.0	0	0	804.6	804.6	13.77	14.48	15.71	20.5	0.6224	0.6716	σeq = 215.405	1 / 11
P1	10.0^o	10.0^o	16712.1	127.9	1.3		805.9	13.79	14.50	15.74	20.5	0.6224	0.6716	σeq = 215.865	2 / 11
P2	20.0^o	30.0^o	15711.9	1128.1	11.1		815.7	13.96	14.68	15.91	20.5	0.6224	0.6716	σeq = 210.339	3 / 11
P3	20.0^o	50.0^o	13832.3	3007.7	29.5		834.1	14.30	15.01	16.24	20.5	0.6224	0.6716	σeq = 216.991	4 / 11
P4	16.0^o	66.0^o	11844.7	4995.3	49.0		853.6	14.65	15.36	16.59	21.0	0.6284	0.6880	σeq = 215.29	5 / 11
P5	24.0^o	90.0^o	8420.0	8420.0	82.6		887.2	15.25	15.97	17.20	22.5	0.6231	0.7044	σeq = 219.906	6 / 11
P5	40.0^o	130.0^o	3007.7	13832.3	135.6		940.2	16.21	16.92	18.15	22.5	0.6216	0.7371	σeq = 217.887	8 / 11
P6	20.0^o	150.0^o	1128.1	15711.9	154.1		958.7	16.54	17.25	18.49	23.0	0.6260	0.7535	σeq = 215.594	9 / 11
P7	20.0^o	170.0^o	127.9	16712.1	163.9		968.5	16.72	17.43	18.66	23.0	0.6197	0.7535	σeq = 218.424	10 / 11
P8	10.0^o	180.0^o	0	16840.0	165.1		969.7	16.74	17.45	18.68	23.0	0.6189	0.7535	σeq = 218.788	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 =

0.6189

at Site

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

Pset(MAWP) =

0.8046

8.2046

CASE 3

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

MAP =

0.6716

at Shop

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

Pset(MAP) =

0.8731

8.9031

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 6. 롯데 G1	Rev. No.	[AAA4]

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	0^o	16843.0	0	0	16840.0	0	0	19.00	20.5	0.6224	0.6716	62.9711	1 / 11
P1	10.0^o	10.0^o	16715.1	0	0	16712.1	127.9	1.3	19.00	20.5	0.6224	0.6716	62.9711	2 / 11
P2	20.0^o	30.0^o	15714.7	0	0	15711.9	1128.1	11.1	19.00	20.5	0.6224	0.6716	62.9711	3 / 11
P3	20.0^o	50.0^o	13834.7	0	0	13832.3	3007.7	29.5	19.00	20.5	0.6224	0.6716	62.9711	4 / 11
P4	16.0^o	66.0^o	11846.8	1634.7	10.4	11844.7	4995.3	49.0	19.50	21.0	0.6284	0.6880	66.3230	5 / 11
P5	24.0^o	90.0^o	8421.5	5060.0	32.1	8420.0	8420.0	82.6	20.00	21.5	0.6231	0.7044	69.7615	6 / 11
P5	40.0^o	130.0^o	3008.3	10473.2	66.3	3007.7	13832.3	135.6	21.00	22.5	0.6216	0.7371	76.8977	8 / 11
P6	20.0^o	150.0^o	1128.3	12353.2	78.3	1128.1	15711.9	154.1	21.50	23.0	0.6260	0.7535	80.5955	9 / 11
P7	20.0^o	170.0^o	127.9	13353.6	84.6	127.9	16712.1	163.9	21.50	23.0	0.6197	0.7535	80.5955	10 / 11
P8	10.0^o	180.0^o	0	13481.5	85.4	0	16840.0	165.1	21.50	23.0	0.6189	0.7535	80.5955	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 =

0.6189

at Site

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

Pset(MAWP) =

0.8046

8.2046

CASE 3

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

MAP =

0.6716

at Shop

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

Pset(MAP) =

0.8731

8.9031

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

50.7004

SA516-70

Maximum. Allowable External Pressure

MAEP =

62.9711

0.6421

CS-2

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(0.5 atm = 50.6625 kPa) condition.
Harf Vacuum(0.5 atm = 50.6625 kPa) < MAEP(MinMAEP=62.9711 kPa)

● Shell Material	MATL =	SA516-70
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	260.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	234.0	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-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	19.0	mm
Outside Radius of tank top head	Ro =	8440.5	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0002814
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-2)	Factor B =	27.97408	MPa
Design External Pressure, 　Pe = 0.517 (kg/cm²)	Pe =	50.7004	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	62.9711	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 6. 롯데 G1	Rev. No.	[AAA4]

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	0^o	19.45	19.5	14.48	15.71	18.55	20.5	0.7+0.34	#1	30.0	20.5	2939.1	8817.4	3	3,962	11,886	1 / 11
P1	10.0^o	10.0^o	19.45	19.5	14.50	15.74	18.55	20.5	0.7+0.34									2 / 11
P2	20.0^o	30.0^o	19.45	19.5	14.68	15.91	18.55	20.5	0.7+0.34									3 / 11
P3	20.0^o	50.0^o	19.45	19.5	15.01	16.24	18.55	20.5	0.7+0.34	#2	20.0	20.5	2939.1	9321.8	4	3,430	13,721	4 / 11
P4	16.0^o	66.0^o	19.78	19.8	15.36	16.59	18.55	21.0	0.7+0.52	#3	16.0	21.0	2685.0	8817.4	6	2,889	17,334	5 / 11
P5	24.0^o	90.0^o	20.68	20.4	15.97	17.20	18.55	22.5	0.7+0.12	#4	64.0	22.5	2939.1	9505.2	18	4,588	82,575	6 / 11
P5	40.0^o	130.0^o	21.49	21.5	16.92	18.15	18.55	22.5	0.7+0.31	#4	64.0	22.5	2939.1	9505.2	18	4,588	82,575	8 / 11
P6	20.0^o	150.0^o	21.84	21.8	17.25	18.49	18.55	23.0	0.7+0.45	#5	20.0	23.0	2939.1	9121.8	4	3,849	15,394	9 / 11
P7	20.0^o	170.0^o	22.03	22.0	17.43	18.66	18.55	23.0	0.7+0.25	#6	30.0	23.0	2939.1	8817.4	3	4,445	13,335	10 / 11
P8	10.0^o	180.0^o	22.06	22.1	17.45	18.68	18.55	23.0	0.7+0.23	#6	30.0	23.0	2939.1	8817.4	3	4,445	13,335	11 / 11

], CalcRpt[i][1]=[

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

Design Code : Div. 1, Di = 11000 mm, CA = 1.5 mm, SG = 0.536, Pg= 21.9239 kg/cm²(=2150 kPa), Pe= 1.05 kg/cm²(=102.97 kPa), 수압테스트압력 GsetMAWP=2856 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 100 ℃, 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.

SHT

kg/sht

0^o

38.93

39.0

21.04

21.98

17.01

40.0

0.7+0.32

45.0

40.0

2879.8

8639.4

7,422

22,265

1 / 8

15.0^o

38.93

39.0

21.05

21.99

17.01

40.0

0.7+0.32

2 / 8

30.0^o

45.0^o

38.93

39.0

21.16

22.09

17.01

40.0

0.7+0.32

3 / 8

45.0^o

90.0^o

39.18

39.2

21.44

22.37

17.01

TD90USED

0.7+0.12

90.0

40.5

2879.8

8739.4

7,121

85,457

4 / 8

45.0^o

135.0^o

39.48

39.5

21.72

22.66

17.01

40.5

0.7+0.27

6 / 8

30.0^o

165.0^o

39.61

39.7

21.82

22.76

17.01

40.5

0.7+0.14

45.0

40.5

2879.8

8639.4

7,514

22,543

7 / 8

15.0^o

180.0^o

39.63

39.7

21.84

22.77

17.01

40.5

0.7+0.12

8 / 8

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 18.55 mm; Pe :50.7 kPa ≤ Pa = 50.73 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0002526; Factor_B = 25.106 MPa

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=16840 (cm), Sd=138 MPa, Pg=0.5884 (MPa), HT_UPPCOL = 35800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=253.713 (N-mm), Nφ=16.243 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

16840

1684.0

　R = Inside Radius in Corroded Condition

R =

8421.5

842.15

　L = Design Liquid level

L =

13480

1348.0

　CA = Corrosion Allowance

CA =

1.5

0.15

　Wt = Total Weight at Operating Condition

Wt =

15,778,045

1608912.8

　S = Allowable Stress for the Design Condition SA516-70, Sd = 138MPa

S =

138.0

MPa

1407.208

Kg/cm²

　P = Design internal GAS Pressure

P =

0.588

MPa

6.0

Kg/cm²

　SG = Design Specific Gravity

SG =

0.646

　γ = Liquid Density

γ =

6.335096E-6

N/mm³

646.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.16194

degree

0.43916

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

53.0697

degree

0.92624

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9942565

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1349991

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4251781

　C5 = 22 / φ

C5 =

0.8743364

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4251781

Calculation Result :

　PM = P×R/2

PM =

2477.605

N-mm

25.265

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

253.713

N-mm

2.587

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

16.243

N-mm

0.166

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

2897.12

N/mm

2954.24

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

2233.14

N/mm

2277.169

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

22.07

2.207

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

20.68

2.068

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

123.124

MPa

1255.515

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

850,075,515

N-mm

8668.358×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

312,354,708

N-mm

3185.132×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

427,643,866

N-mm

4360.754×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

145,441,382

N-mm

1483.089×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

224.47

N/mm

228.896

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

490,670,753

N-mm

5003.449×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

260,111,835

N-mm

2652.403×10³

Kg-cm

　Za = IH / LA × t

Za =

50,275,965

mm³

50.276×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,977,612,083

mm³

3977.612×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.2531E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.990277E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1819.658

181.966

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

58.667

N/mm

59.824

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

46,152,076

N-mm

470.62×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

23,217,528

N-mm

236.753×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

786,674

mm³

7866.736

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

210,904,997

mm³

210.905×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

268.097

26.81

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

531.022

53.102

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

260.713

N/mm

265.853

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

179.79

N/mm

183.335

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,324,178

135028.5

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

36653.01

3737.6

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7161.276

716.128

piDeg=[25.16194007327985] piRad=[0.43915870046823663] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=16840 (cm), Sd=138 MPa, Pg=0.5884 (MPa), HT_UPPCOL = 35800.0 (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 의한 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	τ_xy	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	16843.0	0	0	0.5884	2477.61							2477.61	2477.61	130.40	< OK	138	19.45	19.46	20.5	0.01	5.51	0	0	0	0
P1	10	16715.1	0	0	0.5884	2477.61							2477.61	2477.61	130.40	< OK	138	19.45	19.46	20.5	0.01	5.51	0	0	0	0
P2	30	15714.7	0	0	0.5884	2477.61							2477.61	2477.61	130.40	< OK	138	19.45	19.46	20.5	0.01	5.51	0	0	0	0
P3	50	13834.7	0	0	0.5884	2477.61							2477.61	2477.61	130.40	< OK	138	19.45	19.46	20.5	0.01	5.51	0	0	0	0
P4	66	11846.8	1634.7	0.0104	0.5988	2477.61	82.43	4.78					2560.04	2482.39	129.34	< OK	138	19.78	19.78	21.0		6.28	1.101	0.064	0.183	0.011
P5	90	8421.5	5060.0	0.0321	0.6205	2477.61	253.71	16.24	224.47	58.67	260.71	179.79	2897.12	2233.14	132.36	< OK	138	20.68	20.44	21.5	-0.24	4.09	3.388	0.217	0.565	0.036	Column Attached Equator Plate
P5	130	3008.3	10473.2	0.0663	0.6547	2477.61	236.35	322.41					2713.95	2800.02	131.33	< OK	138	21.49	21.49	22.5		4.83	3.156	4.306	0.526	0.718
P6	150	1128.3	12353.2	0.0783	0.6667	2477.61	314.12	344.94					2791.73	2822.54	130.57	< OK	138	21.84	21.85	23.0	0.01	5.38	4.195	4.606	0.699	0.768
P7	170	127.9	13353.6	0.0846	0.673	2477.61	354.50	357.92					2832.11	2835.53	131.81	< OK	138	22.03	22.04	23.0	0.01	4.49	4.734	4.78	0.789	0.797
P8	180	0	13481.5	0.0854	0.6738	2477.61	359.63	359.63					2837.23	2837.23	131.96	< OK	138	22.06	22.07	23.0	0.01	4.37	4.803	4.803	0.8	0.8

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=16840 (cm), Syt=234 MPa, MAWP=0.76492 (MPa), HT_UPPCOL = 35800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=579.38 (N-mm), Nφ=115.876 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

16840

1684.0

　R = Inside Radius in Corroded Condition

R =

8420

842.0

　L = Hydrostatic-test Water Level

L =

16840

1684.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

25,721,643

2622877.6

　S = Allowable Stress for the Design Condition SA516-70, Sd = 234MPa

S =

234.0

MPa

2386.136

Kg/cm²

　P = Design internal GAS Pressure

P =

0.588

MPa

6.0

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

863.6

86.36

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.16194

degree

0.43916

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9942565

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1349991

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4251781

　C5 = 22 / φ

C5 =

0.8743364

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4251781

Calculation Result :

　PM = P×R/2

PM =

2477.164

N-mm

25.26

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

579.38

N-mm

5.908

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

115.876

N-mm

1.182

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

3326.87

N/mm

3392.463

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

2167.95

N/mm

2210.694

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

13.56

1.356

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

12.69

1.269

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

204.74

MPa

2087.767

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,385,561,051

N-mm

14128.791×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

509,115,379

N-mm

5191.532×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

697,028,292

N-mm

7107.71×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

237,058,838

N-mm

2417.327×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

365.999

N/mm

373.215

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

799,757,517

N-mm

8155.257×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

423,963,308

N-mm

4323.223×10³

Kg-cm

　Za = IH / LA × t

Za =

38,239,826

mm³

38.24×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,975,487,038

mm³

3975.487×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.2531E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

6.990277E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1819.334

181.933

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

95.675

N/mm

97.561

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

75,237,916

N-mm

767.213×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

37,849,618

N-mm

385.959×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

786,393

mm³

7863.933

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

210,792,320

mm³

210.792×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

268.049

26.805

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

530.927

53.093

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

425.094

N/mm

433.475

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

293.13

N/mm

298.909

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

2,158,573

220113.2

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

59763.019

6094.1

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

7160.0

716.0

piDeg=[25.16194007327985] piRad=[0.43915870046823663] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=16840 (cm), Syt=234 MPa, MAWP=0.76492 (MPa), HT_UPPCOL = 35800.0 (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 의한 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	τ_xy	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	16840.0	0	0	0.5884	2477.16							2477.16	2477.16	215.40	< OK	234	10.59	10.59	11.5		7.95	0	0	0	0
P1	10	16712.1	127.9	0.0013	0.5897	2477.16	7.93	2.63					2485.09	2479.80	215.86	< OK	234	10.61	10.61	11.5		7.75	0.068	0.023	0.011	0.004
P2	30	15711.9	1128.1	0.0111	0.5995	2477.16	70.42	22.73					2547.58	2499.89	210.34	< OK	234	10.79	10.79	12.0		10.11	0.608	0.196	0.101	0.033
P3	50	13832.3	3007.7	0.0295	0.6179	2477.16	190.77	57.59					2667.93	2534.75	216.99	< OK	234	11.13	11.12	12.0	-0.01	7.27	1.646	0.497	0.274	0.083
P4	66	11844.7	4995.3	0.0490	0.6374	2477.16	323.85	88.62					2801.01	2565.79	215.29	< OK	234	11.50	11.47	12.5	-0.03	8.00	2.795	0.765	0.466	0.127
P5	90	8420.0	8420.0	0.0826	0.671	2477.16	579.38	115.88	366.00	95.67	425.09	293.13	3326.87	2167.95	219.91	< OK	234	12.69	12.08	13.5	-0.61	6.02	5	1	0.833	0.167	Column Attached Equator Plate
P5	130	3007.7	13832.3	0.1356	0.724	2477.16	504.49	637.67					2981.65	3114.83	217.89	< OK	234	13.04	13.03	14.0	-0.01	6.89	4.354	5.503	0.726	0.917
P6	150	1128.1	15711.9	0.1541	0.7425	2477.16	624.84	672.53					3102.00	3149.69	215.59	< OK	234	13.36	13.36	14.5		7.87	5.392	5.804	0.899	0.967
P7	170	127.9	16712.1	0.1639	0.7523	2477.16	687.33	692.62					3164.49	3169.79	218.42	< OK	234	13.53	13.54	14.5	0.01	6.66	5.932	5.977	0.989	0.996
P8	180	0	16840.0	0.1651	0.7535	2477.16	695.26	695.26					3172.42	3172.42	218.79	< OK	234	13.56	13.56	14.5		6.50	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])= 38
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 154245.181
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 16840
MRA(sWt[tid][20][10])= 890.91
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 =	9	Columns
2. gCol[tid][2] =	Column OD	OD =	863.6	mm
3. gCol[tid][3] =	Column thk	thk =	9.65	mm
4. gCol[tid][4] =	Tank Height	Htank =	11420	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3580	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7840	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	16430	mm
8. gCol[tid][8] =	Brace Angle	BRang =	35.6314	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.669	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	SA516-70	t20.5 ~ 23	SHT	38	154.245	188.179	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t23, t12×3013×3580	SHT	9	10.090	11.099	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø863.6×9.65t × 7840L	PCS	9	14.339	14.339	000,000	000,000	3
4	BRACE ( PIPE, θ= 35.6314 deg.)	null	Ø0×0t × 9646L	PCS	18			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:SA516-70(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)	SA516-70	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				74	178.674	213.617	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. 말레이시아	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1076.5 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 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	0^o	15656.0	0	0	588.4	588.4	19.69	19.70	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 131.6	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0		588.4	19.69	19.70	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 131.6	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0		588.4	19.69	19.70	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 131.6	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5		595.9	19.90	19.91	26.5	0.7+0.38	0.8206	0.9341			1.0	σeq = 129.586	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7		607.1	20.23	20.23	26.5	0.7+0.38	0.8094	0.9341			1.0	σeq = 132.12	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1		626.5	20.99	20.78	26.5	0.7+0.38	0.7900	0.9341			1.0	σeq = 130.661	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8		657.2	21.64	21.65	26.5	0.7+0.38	0.7593	0.9341			1.0	σeq = 131.948	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4		667.8	21.94	21.95	26.5	0.7+0.38	0.7487	0.9341			1.0	σeq = 130.701	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1		673.5	22.10	22.11	26.5	0.7+0.38	0.7430	0.9341			1.0	σeq = 131.806	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8		674.2	22.12	22.13	26.5	0.7+0.38	0.7423	0.9341	0.7423	0.9341	1.0	σeq = 131.948	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 =	0.7423	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.9341	MPa	At Shop ( New & Cold )	N/A

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

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=588.399 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=965 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment

Each
Angle

Angle
α

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.

mmH2O

kPa

MPa

0^o

15650.0

965.0

965.0

12.79

16.14

20.31

26.5

0.8281

0.9341

σeq = 209.284

1 / 11

10.0^o

15531.1

118.9

1.2

966.2

12.81

16.16

20.33

26.5

0.8281

0.9341

σeq = 209.698

2 / 11

20.0^o

30.0^o

14601.6

1048.4

10.3

975.3

12.96

16.31

20.48

26.5

0.8281

0.9341

σeq = 212.965

3 / 11

20.0^o

50.0^o

12854.8

2795.2

27.4

992.4

13.25

16.60

20.77

26.5

0.8206

0.9341

σeq = 209.689

4 / 11

16.0^o

66.0^o

11007.7

4642.3

45.5

1010.5

13.55

16.90

21.07

26.5

0.8094

0.9341

σeq = 216.214

5 / 11

24.0^o

90.0^o

7825.0

76.7

1041.7

14.08

17.42

21.59

26.5

0.7900

0.9341

σeq = 216.834

6 / 11

40.0^o

130.0^o

2795.2

12854.8

126.1

1091.1

14.90

18.25

22.42

26.5

0.7593

0.9341

σeq = 215.162

8 / 11

20.0^o

150.0^o

1048.4

14601.6

143.2

1108.2

15.19

18.53

22.70

26.5

0.7487

0.9341

σeq = 220.199

9 / 11

20.0^o

170.0^o

118.9

15531.1

152.3

1117.3

15.34

18.69

22.86

26.5

0.7430

0.9341

σeq = 214.668

10 / 11

10.0^o

180.0^o

15650.0

153.5

1118.5

15.36

18.71

22.88

26.5

0.7423

0.9341

σeq = 215.006

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 =

0.7423

at Site

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

Pset(MAWP) =

0.9650

9.8403

CASE 3

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

MAP =

0.9341

at Shop

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

Pset(MAP) =

1.2143

12.3824

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

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	0^o	15656.0	0	0	15650.0	0	0	23.50	26.5	0.8281	0.9341	111.3584	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0	15531.1	118.9	1.2	23.50	26.5	0.8281	0.9341	111.3584	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0	14601.6	1048.4	10.3	23.50	26.5	0.8281	0.9341	111.3584	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5	12854.8	2795.2	27.4	23.50	26.5	0.8206	0.9341	111.3584	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7	11007.7	4642.3	45.5	23.50	26.5	0.8094	0.9341	111.3584	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1	7825.0	7825.0	76.7	23.50	26.5	0.7900	0.9341	111.3584	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8	2795.2	12854.8	126.1	23.50	26.5	0.7593	0.9341	111.3584	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4	1048.4	14601.6	143.2	23.50	26.5	0.7487	0.9341	111.3584	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1	118.9	15531.1	152.3	23.50	26.5	0.7430	0.9341	111.3584	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8	0	15650.0	153.5	23.50	26.5	0.7423	0.9341	111.3584	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 =

0.7423

at Site

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

Pset(MAWP) =

0.9650

9.8403

CASE 3

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

MAP =

0.9341

at Shop

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

Pset(MAP) =

1.2143

12.3824

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA516-70

Maximum. Allowable External Pressure

MAEP =

111.3584

1.1355

CS-2

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=111.3584 kPa)

● Shell Material	MATL =	SA516-70
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	260.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	234.0	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-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	23.5	mm
Outside Radius of tank top head	Ro =	7851.5	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0003741
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-2)	Factor B =	37.20554	MPa
Design External Pressure, 　Pe = 1.03323 (kg/cm²)	Pe =	101.3250	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	111.3584	kPa
Check : Pe < MAEP			O.K

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

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	0^o	19.69	19.7	16.14	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	19.69	19.7	16.16	20.33	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	19.69	19.7	16.31	20.48	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	19.90	19.9	16.60	20.77	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.23	20.2	16.90	21.07	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	20.99	20.8	17.42	21.59	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	6 / 11
P5	40.0^o	130.0^o	21.64	21.6	18.25	22.42	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	8 / 11
P6	20.0^o	150.0^o	21.94	22.0	18.53	22.70	25.42	26.5	0.7+0.38	#5	20.0	26.5	2731.4	8477.2	4	3,830	15,319	9 / 11
P7	20.0^o	170.0^o	22.10	22.1	18.69	22.86	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	10 / 11
P8	10.0^o	180.0^o	22.12	22.1	18.71	22.88	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [7 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 6. 롯데 G1	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 16840 mm, CA = 1.5 mm, SG = 0.646, Pg= 6.0 kg/cm²(=588.399 kPa), Pe= 0.517 kg/cm²(=50.7 kPa), 수압테스트압력 GsetMAWP=804.6 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 80 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 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	0^o	19.45	19.5	14.48	15.71	18.55	20.5	0.7+0.34	#1	30.0	20.5	2939.1	8817.4	3	3,962	11,886	1 / 11
P1	10.0^o	10.0^o	19.45	19.5	14.50	15.74	18.55	20.5	0.7+0.34									2 / 11
P2	20.0^o	30.0^o	19.45	19.5	14.68	15.91	18.55	20.5	0.7+0.34									3 / 11
P3	20.0^o	50.0^o	19.45	19.5	15.01	16.24	18.55	20.5	0.7+0.34	#2	20.0	20.5	2939.1	9321.8	4	3,430	13,721	4 / 11
P4	16.0^o	66.0^o	19.78	19.8	15.36	16.59	18.55	21.0	0.7+0.52	#3	16.0	21.0	2685.0	8817.4	6	2,889	17,334	5 / 11
P5	24.0^o	90.0^o	20.68	20.4	15.97	17.20	18.55	TD90USED	0.7+0.12	#4	64.0	22.5	2939.1	9505.2	18	4,588	82,575	6 / 11
P5	40.0^o	130.0^o	21.49	21.5	16.92	18.15	18.55	22.5	0.7+0.31	#4	64.0	22.5	2939.1	9505.2	18	4,588	82,575	8 / 11
P6	20.0^o	150.0^o	21.84	21.8	17.25	18.49	18.55	23.0	0.7+0.45	#5	20.0	23.0	2939.1	9121.8	4	3,849	15,394	9 / 11
P7	20.0^o	170.0^o	22.03	22.0	17.43	18.66	18.55	23.0	0.7+0.25	#6	30.0	23.0	2939.1	8817.4	3	4,445	13,335	10 / 11
P8	10.0^o	180.0^o	22.06	22.1	17.45	18.68	18.55	23.0	0.7+0.23	#6	30.0	23.0	2939.1	8817.4	3	4,445	13,335	11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 25.42 mm; Pe :101.32 kPa ≤ Pa = 101.38 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003570; Factor_B = 35.499 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=15650 (cm), Sd=138 MPa, Pg=0.5884 (MPa), HT_UPPCOL = 33700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=266.671 (N-mm), Nφ=31.757 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7828

782.8

　L = Design Liquid level

L =

14080

1408.0

　CA = Corrosion Allowance

CA =

3.0

0.3

　Wt = Total Weight at Operating Condition

Wt =

13,249,933

1351117.2

　S = Allowable Stress for the Design Condition SA516-70, Sd = 138MPa

S =

138.0

MPa

1407.208

Kg/cm²

　P = Design internal GAS Pressure

P =

0.588

MPa

6.0

Kg/cm²

　SG = Design Specific Gravity

SG =

0.622

0.6215

　γ = Liquid Density

γ =

6.094833E-6

N/mm³

621.5

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.51015

degree

0.44524

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

36.96007

degree

0.64507

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9935776

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1496619

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4306709

　C5 = 22 / φ

C5 =

0.8624020

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4306709

Calculation Result :

　PM = P×R/2

PM =

2302.998

N-mm

23.484

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

266.671

N-mm

2.719

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

31.757

N-mm

0.324

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

2715.79

N/mm

2769.335

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

2102.43

N/mm

2143.882

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

22.13

2.213

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

20.99

2.099

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

124.128

MPa

1265.753

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

663,558,731

N-mm

6766.416×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

240,258,313

N-mm

2449.953×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

333,813,662

N-mm

3403.952×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

112,080,716

N-mm

1142.905×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

197.564

N/mm

201.459

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

383,081,259

N-mm

3906.342×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

202,814,847

N-mm

2068.136×10³

Kg-cm

　Za = IH / LA × t

Za =

44,597,441

mm³

44.597×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,323,586,510

mm³

3323.587×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.4129E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.28256E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1714.056

171.406

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

51.443

N/mm

52.457

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

36,419,331

N-mm

371.374×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

18,321,318

N-mm

186.825×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

707,956

mm³

7079.563

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

181,292,990

mm³

181.293×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

256.079

25.608

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

507.08

50.708

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

232.323

N/mm

236.904

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

160.315

N/mm

163.476

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,112,960

113490.3

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

32020.074

3265.1

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6742.584

674.258

piDeg=[25.510146359306425] piRad=[0.4452360466355415] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=15650 (cm), Sd=138 MPa, Pg=0.5884 (MPa), HT_UPPCOL = 33700.0 (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 의한 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	τ_xy	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	15656.0	0	0	0.5884	2303.0							2303.00	2303.00	131.60	< OK	138	19.69	19.70	20.5	0.01	4.64	0	0	0	0
P1	10	15537.1	0	0	0.5884	2303.0							2303.00	2303.00	131.60	< OK	138	19.69	19.70	20.5	0.01	4.64	0	0	0	0
P2	30	14607.2	0	0	0.5884	2303.0							2303.00	2303.00	131.60	< OK	138	19.69	19.70	20.5	0.01	4.64	0	0	0	0
P3	50	12859.7	1223.3	0.0075	0.5959	2303.0	52.96	5.40					2355.96	2308.40	129.59	< OK	138	19.90	19.91	21.0	0.01	6.10	0.851	0.087	0.142	0.014
P4	66	11011.9	3071.1	0.0187	0.6071	2303.0	128.01	18.51					2431.01	2321.51	132.12	< OK	138	20.23	20.23	21.0		4.26	2.057	0.297	0.343	0.05
P5	90	7828.0	6255.0	0.0381	0.6265	2303.0	266.67	31.76	197.56	51.44	232.32	160.32	2715.79	2102.43	130.66	< OK	138	20.99	20.78	22.0	-0.21	5.32	4.284	0.51	0.714	0.085	Column Attached Equator Plate
P5	130	2796.3	11286.7	0.0688	0.6572	2303.0	233.48	305.02					2536.47	2608.01	131.95	< OK	138	21.64	21.65	22.5	0.01	4.39	3.751	4.9	0.625	0.817
P6	150	1048.8	13034.2	0.0794	0.6678	2303.0	298.13	323.74					2601.12	2626.74	130.70	< OK	138	21.94	21.95	23.0	0.01	5.29	4.789	5.201	0.798	0.867
P7	170	118.9	13964.1	0.0851	0.6735	2303.0	331.69	334.54					2634.69	2637.54	131.81	< OK	138	22.10	22.11	23.0	0.01	4.49	5.329	5.374	0.888	0.896
P8	180	0	14083.0	0.0858	0.6742	2303.0	335.95	335.95					2638.95	2638.95	131.95	< OK	138	22.12	22.13	23.0	0.01	4.39	5.397	5.397	0.9	0.9

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=15650 (cm), Syt=234 MPa, MAWP=0.76492 (MPa), HT_UPPCOL = 33800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=500.389 (N-mm), Nφ=100.078 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7825

782.5

　L = Hydrostatic-test Water Level

L =

15650

1565.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

20,659,047

2106636.5

　S = Allowable Stress for the Design Condition SA516-70, Sd = 234MPa

S =

234.0

MPa

2386.136

Kg/cm²

　P = Design internal GAS Pressure

P =

0.588

MPa

6.0

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.5913

degree

0.44665

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9934181

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1530734

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4319489

　C5 = 22 / φ

C5 =

0.8596670

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4319489

Calculation Result :

　PM = P×R/2

PM =

2302.115

N-mm

23.475

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

500.389

N-mm

5.103

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

100.078

N-mm

1.021

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

3029.32

N/mm

3089.047

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

2040.97

N/mm

2081.21

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

12.41

1.241

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

11.58

1.158

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

200.772

MPa

2047.305

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

1,034,211,828

N-mm

10546.026×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

373,184,492

N-mm

3805.423×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

520,276,536

N-mm

5305.344×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

174,165,027

N-mm

1775.989×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

306.306

N/mm

312.345

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

597,095,603

N-mm

6088.681×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

316,027,050

N-mm

3222.579×10³

Kg-cm

　Za = IH / LA × t

Za =

32,164,142

mm³

32.164×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

3,350,271,797

mm³

3350.272×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.4514E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.351823E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1718.668

171.867

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

79.489

N/mm

81.056

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

56,763,105

N-mm

578.823×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

28,555,573

N-mm

291.186×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

714,103

mm³

7141.03

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

183,950,286

mm³

183.95×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

257.596

25.76

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

510.051

51.005

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

361.224

N/mm

368.346

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

249.525

N/mm

254.445

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

1,737,047

177129.5

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

50257.224

5124.8

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6760.0

676.0

piDeg=[25.59130479672834] piRad=[0.44665252858432775] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=15650 (cm), Syt=234 MPa, MAWP=0.76492 (MPa), HT_UPPCOL = 33800.0 (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 의한 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	τ_xy	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	15650.0	0	0	0.5884	2302.12							2302.12	2302.12	209.28	< OK	234	9.84	9.84	11.0		10.56	0	0	0	0
P1	10	15531.1	118.9	0.0012	0.5896	2302.12	6.85	2.27					2308.96	2304.39	209.70	< OK	234	9.86	9.86	11.0		10.39	0.068	0.023	0.011	0.004
P2	30	14601.6	1048.4	0.0103	0.5987	2302.12	60.82	19.63					2362.93	2321.75	212.96	< OK	234	10.01	10.01	11.0		8.99	0.608	0.196	0.101	0.033
P3	50	12854.8	2795.2	0.0274	0.6158	2302.12	164.76	49.74					2466.87	2351.85	209.69	< OK	234	10.31	10.30	11.5	-0.01	10.39	1.646	0.497	0.274	0.083
P4	66	11007.7	4642.3	0.0455	0.6339	2302.12	279.70	76.54					2581.81	2378.65	216.21	< OK	234	10.63	10.60	11.5	-0.03	7.60	2.795	0.765	0.466	0.127
P5	90	7825.0	7825.0	0.0767	0.6651	2302.12	500.39	100.08	306.31	79.49	361.22	249.52	3029.32	2040.97	216.83	< OK	234	11.58	11.12	12.5	-0.46	7.34	5	1	0.833	0.167	Column Attached Equator Plate
P5	130	2795.2	12854.8	0.1261	0.7145	2302.12	435.71	550.73					2737.82	2852.85	215.16	< OK	234	11.95	11.95	13.0		8.05	4.354	5.503	0.726	0.917
P6	150	1048.4	14601.6	0.1432	0.7316	2302.12	539.65	580.84					2841.77	2882.95	220.20	< OK	234	12.23	12.24	13.0	0.01	5.90	5.392	5.804	0.899	0.967
P7	170	118.9	15531.1	0.1523	0.7407	2302.12	593.62	598.19					2895.73	2900.31	214.67	< OK	234	12.38	12.39	13.5	0.01	8.26	5.932	5.977	0.989	0.996
P8	180	0	15650.0	0.1535	0.7419	2302.12	600.47	600.47					2902.58	2902.58	215.01	< OK	234	12.40	12.41	13.5	0.01	8.12	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])= 38
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 160064.008
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 15650
MRA(sWt[tid][20][10])= 769.446
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 =	9	Columns
2. gCol[tid][2] =	Column OD	OD =	812.8	mm
3. gCol[tid][3] =	Column thk	thk =	8.74	mm
4. gCol[tid][4] =	Tank Height	Htank =	10825	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3380	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7445	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	15260	mm
8. gCol[tid][8] =	Brace Angle	BRang =	35.0319	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.818	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	SA516-70	t26.5 ~ 26.5	SHT	38	160.064	195.278	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t26.5, t11×2853×3380	SHT	9	8.555	9.411	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø812.8×8.74t × 7445L	PCS	9	11.612	11.612	000,000	000,000	3
4	BRACE ( PIPE, θ= 35.0319 deg.)	null	Ø0×0t × 9092L	PCS	18			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:SA516-70(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)	SA516-70	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				74	180.231	216.301	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. SN2388	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 12000 mm, CA = 1 mm, SG = 0.5, Pg= 5.076147 kg/cm2(=497.8 kPa), Pe= 0.45 kg/cm2(=44.13 kPa), 수압테스트압력 GsetMAWP=0 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-1], DTEMP = 40 ℃, Sd = -99.999 MPa, St = -99.999 MPa, Samb = 0 MPa, LSR = Samb/Sd = 0, Ft = -99.999 MPa, Fy = -99.999 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	0^o	12002.0	0	0	497.8	497.8	0.00	-13.93	13.5	0.7+0.50	-0.4164	-0.4498			0	σeq = 9223372036854776	1 / 10
P1	10.0^o	10.0^o	11910.8	0	0		497.8	0.00	-13.93	13.5	0.7+0.50	-0.4164	-0.4498			0	σeq = 9223372036854776	2 / 10
P2	20.0^o	30.0^o	11198.0	0	0		497.8	0.00	-13.93	13.5	0.7+0.50	-0.4164	-0.4498			0	σeq = 9223372036854776	3 / 10
P3	20.0^o	50.0^o	9858.4	882.6	4.3		502.1	0.00	-14.06	13.5	0.7+0.50	-0.4207	-0.4498			0	σeq = 9223372036854776	4 / 10
P4	40.0^o	90.0^o	6001.0	4740.0	23.2		521.0	0.00	-14.62	13.5	0.7+0.50	-0.4396	-0.4498			0	σeq = 9223372036854776	5 / 10
P4	40.0^o	130.0^o	2143.6	8597.4	42.2		540.0	0.00	-15.19	13.5	0.7+0.50	-0.4586	-0.4498			0	σeq = 9223372036854776	7 / 10
P5	20.0^o	150.0^o	804.0	9937.0	48.7		546.5	0.00	-15.39	13.5	0.7+0.50	-0.4651	-0.4498			0	σeq = 9223372036854776	8 / 10
P6	20.0^o	170.0^o	91.2	10649.8	52.2		550.0	0.00	-15.49	13.5	0.7+0.50	-0.4686	-0.4498			0	σeq = 9223372036854776	9 / 10
P7	10.0^o	180.0^o	0	10741.0	52.7		550.5	0.00	-15.51	13.5	0.7+0.50	-0.4691	-0.4498	-0.4691	-0.4498	0	σeq = 9223372036854776	10 / 10

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 =	0.4978	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	-0.4691	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	-0.4498	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 8. SN2388	Rev. No.	[AAA4]

Segment

Each
Angle

Angle
α

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.

mmH2O

kPa

MPa

0^o

12000.0

0.00

0.00

0.00

13.5

-0.4164

-0.4498

σeq = 1493.4

1 / 10

10.0^o

11908.8

91.2

0.9

-0.03

-0.03

-0.03

13.5

-0.4164

-0.4498

σeq = 1496.087

2 / 10

20.0^o

30.0^o

11196.2

803.8

7.9

-0.24

-0.24

-0.24

13.5

-0.4164

-0.4498

σeq = 1517.195

3 / 10

20.0^o

50.0^o

9856.7

2143.3

21.0

-0.63

-0.63

-0.63

13.5

-0.4207

-0.4498

σeq = 1557.557

4 / 10

40.0^o

90.0^o

6000.0

58.8

-1.76

-1.76

-1.76

13.5

-0.4396

-0.4498

σeq = 1762.925

5 / 10

40.0^o

130.0^o

2143.3

9856.7

96.7

-2.90

-2.90

-2.90

13.5

-0.4586

-0.4498

σeq = 1784.346

7 / 10

20.0^o

150.0^o

803.8

11196.2

109.8

-3.29

-3.29

-3.29

13.5

-0.4651

-0.4498

σeq = 1822.911

8 / 10

20.0^o

170.0^o

91.2

11908.8

116.8

-3.50

-3.50

-3.50

13.5

-0.4686

-0.4498

σeq = 1843.756

9 / 10

10.0^o

180.0^o

12000.0

117.7

-3.53

-3.53

-3.53

13.5

-0.4691

-0.4498

σeq = 1846.44

10 / 10

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 =

0.4978

at Site

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

Pset(MAWP) =

CASE 2

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

MAWP =

-0.4691

at Site

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

Pset(MAWP) =

CASE 3

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

MAP =

-0.4498

at Shop

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

Pset(MAP) =

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 8. SN2388	Rev. No.	[AAA4]

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	0^o	12002.0	0	0	12000.0	0	0	12.50	13.5	-0.4164	-0.4498	54.0102	1 / 10
P1	10.0^o	10.0^o	11910.8	0	0	11908.8	91.2	0.9	12.50	13.5	-0.4164	-0.4498	54.0102	2 / 10
P2	20.0^o	30.0^o	11198.0	0	0	11196.2	803.8	7.9	12.50	13.5	-0.4164	-0.4498	54.0102	3 / 10
P3	20.0^o	50.0^o	9858.4	882.6	4.3	9856.7	2143.3	21.0	12.50	13.5	-0.4207	-0.4498	54.0102	4 / 10
P4	40.0^o	90.0^o	6001.0	4740.0	23.2	6000.0	6000.0	58.8	12.50	13.5	-0.4396	-0.4498	54.0102	5 / 10
P4	40.0^o	130.0^o	2143.6	8597.4	42.2	2143.3	9856.7	96.7	12.50	13.5	-0.4586	-0.4498	54.0102	7 / 10
P5	20.0^o	150.0^o	804.0	9937.0	48.7	803.8	11196.2	109.8	12.50	13.5	-0.4651	-0.4498	54.0102	8 / 10
P6	20.0^o	170.0^o	91.2	10649.8	52.2	91.2	11908.8	116.8	12.50	13.5	-0.4686	-0.4498	54.0102	9 / 10
P7	10.0^o	180.0^o	0	10741.0	52.7	0	12000.0	117.7	12.50	13.5	-0.4691	-0.4498	54.0102	10 / 10

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 =

0.4978

at Site

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

Pset(MAWP) =

CASE 2

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

MAWP =

-0.4691

at Site

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

Pset(MAWP) =

CASE 3

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

MAP =

-0.4498

at Shop

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

Pset(MAP) =

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

44.1299

SA553-TYPE1

Maximum. Allowable External Pressure

MAEP =

54.0102

0.5508

CS-1

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(0.5 atm = 50.6625 kPa) condition.
Harf Vacuum(0.5 atm = 50.6625 kPa) < MAEP(MinMAEP=54.0102 kPa)

● Shell Material	MATL =	SA553-TYPE1
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	-99.999	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	-99.999	MPa
- Allowable stress at Test temperature (-12℃~30℃) [Table 1A]	Samb =	0	MPa
- Allowable stress at Design temperature (60.0 ℃) [Table 1A]	S =	-99.999	MPa
- Lowest Stress Ratio, LSR = Samb / Sd	LSR =	0
o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-1 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	12.5	mm
Outside Radius of tank top head	Ro =	6013.5	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0002598
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-1)	Factor B =	25.98320	MPa
Design External Pressure, 　Pe = 0.45 (kg/cm²)	Pe =	44.1299	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	54.0102	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 8. SN2388	Rev. No.	[AAA4]

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.

SHT

kg/sht

0^o

0.00

-13.9

0.00

12.30

13.5

0.7+0.50

30.0

13.5

2094.4

6283.2

1,325

3,975

1 / 10

10.0^o

0.00

-13.9

-0.03

12.30

13.5

0.7+0.50

2 / 10

20.0^o

30.0^o

0.00

-13.9

-0.24

12.30

13.5

0.7+0.50

3 / 10

20.0^o

50.0^o

0.00

-14.1

-0.63

12.30

13.5

0.7+0.50

20.0

13.5

2094.4

6700.1

1,147

4,588

4 / 10

40.0^o

90.0^o

0.00

-14.6

-1.76

12.30

13.5

0.7+0.50

80.0

13.5

2692.8

8477.6

2,201

30,817

5 / 10

40.0^o

130.0^o

0.00

-15.2

-2.90

12.30

13.5

0.7+0.50

7 / 10

20.0^o

150.0^o

0.00

-15.4

-3.29

12.30

13.5

0.7+0.50

20.0

13.5

2094.4

6500.1

1,147

4,588

8 / 10

20.0^o

170.0^o

0.00

-15.5

-3.50

12.30

13.5

0.7+0.50

30.0

13.5

2094.4

6283.2

1,325

3,975

9 / 10

10.0^o

180.0^o

0.00

-15.5

-3.53

12.30

13.5

0.7+0.50

10 / 10

], CalcRpt[i][1]=[

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

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm²(=588.399 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=965 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 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	0^o	19.69	19.7	16.14	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	19.69	19.7	16.16	20.33	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	19.69	19.7	16.31	20.48	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	19.90	19.9	16.60	20.77	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.23	20.2	16.90	21.07	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	20.99	20.8	17.42	21.59	25.42	TD90USED	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	6 / 11
P5	40.0^o	130.0^o	21.64	21.6	18.25	22.42	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	8 / 11
P6	20.0^o	150.0^o	21.94	22.0	18.53	22.70	25.42	26.5	0.7+0.38	#5	20.0	26.5	2731.4	8477.2	4	3,830	15,319	9 / 11
P7	20.0^o	170.0^o	22.10	22.1	18.69	22.86	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	10 / 11
P8	10.0^o	180.0^o	22.12	22.1	18.71	22.88	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 12.3 mm; Pe :44.13 kPa ≤ Pa = 44.16 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0002349; Factor_B = 23.494 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=12000 (cm), Sd=-99.999 MPa, Pg=0.4978 (MPa), HT_UPPCOL = 26800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=124.971 (N-mm), Nφ=14.503 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

12000

1200.0

　R = Inside Radius in Corroded Condition

R =

6001

600.1

　L = Design Liquid level

L =

10740

1074.0

　CA = Corrosion Allowance

CA =

1.0

0.1

　Wt = Total Weight at Operating Condition

Wt =

3,812,394

388756.0

　S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = -99.999MPa

S =

-99.999

MPa

-1019.706

Kg/cm²

　P = Design internal GAS Pressure

P =

0.498

MPa

5.076

Kg/cm²

　SG = Design Specific Gravity

SG =

0.5

　γ = Liquid Density

γ =

4.903325E-6

N/mm³

500.0

Kg/m³

　d = Outsdie diameter of Column

d =

609.6

60.96

　N = Number of Support Column

N =

7.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.53002

degree

0.46304

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

37.82679

degree

0.6602

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9915365

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1923620

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4466667

　C5 = 22 / φ

C5 =

0.8292492

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4466667

Calculation Result :

　PM = P×R/2

PM =

1493.649

N-mm

15.231

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

124.971

N-mm

1.274

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

14.503

N-mm

0.148

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

1705.36

N/mm

1738.983

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

1400.35

N/mm

1427.96

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

-15.51

-1.551

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

-14.81

-1.481

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

9,223,372,036,854,776

MPa

9.223372036854776E15

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

243,263,010

N-mm

2480.592×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

84,293,326

N-mm

859.553×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

122,869,516

N-mm

1252.92×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

37,978,435

N-mm

387.272×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

114.562

N/mm

116.821

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

140,695,994

N-mm

1434.7×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

76,545,566

N-mm

780.548×10³

Kg-cm

　Za = IH / LA × t

Za =

-1.719362899E7

mm³

-17.194×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

1,676,002,686

mm³

1676.003×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.9337E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

8.184775E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1364.694

136.469

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

27.821

N/mm

28.37

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

12,999,821

N-mm

132.561×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

6,566,069

N-mm

66955.272

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

467,275

mm³

4672.746

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

99,132,860

mm³

99.133×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

212.151

21.215

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

419.751

41.975

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

107.801

N/mm

109.926

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

76.551

N/mm

78.06

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

420,116

42839.9

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

9735.472

992.7

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

5360.893

536.089

piDeg=[26.53002101801117] piRad=[0.46303621738759276] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=12000 (cm), Sd=-99.999 MPa, Pg=0.4978 (MPa), HT_UPPCOL = 26800.0 (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 의한 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	τ_xy	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	12002.0	0	0	0.4978	1493.65							1493.65	1493.65	9223372036854776.00	> NG	-99.999	-13.94	-13.93	1.0	0.01	9223464271497592.00	0	0	0	0
P1	10	11910.8	0	0	0.4978	1493.65							1493.65	1493.65	9223372036854776.00	> NG	-99.999	-13.94	-13.93	1.0	0.01	9223464271497592.00	0	0	0	0
P2	30	11198.0	0	0	0.4978	1493.65							1493.65	1493.65	9223372036854776.00	> NG	-99.999	-13.94	-13.93	1.0	0.01	9223464271497592.00	0	0	0	0
P3	50	9858.4	882.6	0.0043	0.5021	1493.65	23.72	2.25					1517.37	1495.90	9223372036854776.00	> NG	-99.999	-14.07	-14.06	1.0	0.01	9223464271497592.00	0.806	0.077	0.134	0.013
P4	90	6001.0	4740.0	0.0232	0.521	1493.65	124.97	14.50	114.56	27.82	107.80	76.55	1705.36	1400.35	9223372036854776.00	> NG	-99.999	-14.81	-14.63	1.0	0.18	9223464271497592.00	4.246	0.493	0.708	0.082	Column Attached Equator Plate
P4	130	2143.6	8597.4	0.0422	0.54	1493.65	109.58	143.40					1603.23	1637.05	9223372036854776.00	> NG	-99.999	-15.20	-15.19	1.0	0.01	9223464271497592.00	3.723	4.873	0.621	0.812
P5	150	804.0	9937.0	0.0487	0.5465	1493.65	140.14	152.25					1633.79	1645.90	9223372036854776.00	> NG	-99.999	-15.40	-15.39	1.0	0.01	9223464271497592.00	4.762	5.173	0.794	0.862
P6	170	91.2	10649.8	0.0522	0.55	1493.65	156.01	157.36					1649.66	1651.01	9223372036854776.00	> NG	-99.999	-15.50	-15.49	1.0	0.01	9223464271497592.00	5.301	5.347	0.884	0.891
P7	180	0	10741.0	0.0527	0.5505	1493.65	158.03	158.03					1651.68	1651.68	9223372036854776.00	> NG	-99.999	-15.52	-15.51	1.0	0.01	9223464271497592.00	5.37	5.37	0.895	0.895

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=12000 (cm), Syt=-99.999 MPa, MAWP=0.64714 (MPa), HT_UPPCOL = 26900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=294.2 (N-mm), Nφ=58.84 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

12000

1200.0

　R = Inside Radius in Corroded Condition

R =

6000

600.0

　L = Hydrostatic-test Water Level

L =

12000

1200.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

8,124,091

828426.7

　S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = -99.999MPa

S =

-99.999

MPa

-1019.706

Kg/cm²

　P = Design internal GAS Pressure

P =

0.498

MPa

5.076

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

609.6

60.96

　N = Number of Support Column

N =

7.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.6368

degree

0.4649

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9913182

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1968111

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4483333

　C5 = 22 / φ

C5 =

0.8259250

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4483333

Calculation Result :

　PM = P×R/2

PM =

1493.4

N-mm

15.228

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

294.2

N-mm

3.0

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

58.84

N-mm

0.6

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

1971.25

N/mm

2010.116

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

1323.4

N/mm

1349.492

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

-18.45

-1.845

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

-17.63

-1.763

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

1762.925

MPa

17976.832

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

518,299,376

N-mm

5285.183×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

178,925,924

N-mm

1824.537×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

261,787,411

N-mm

2669.489×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

80,678,903

N-mm

822.696×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

242.219

N/mm

246.995

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

299,659,095

N-mm

3055.672×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

162,957,230

N-mm

1661.701×10³

Kg-cm

　Za = IH / LA × t

Za =

-2.659853272E7

mm³

-26.599×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

1,694,586,418

mm³

1694.586×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.993E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

8.283287E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1369.76

136.976

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

58.573

N/mm

59.728

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

27,688,011

N-mm

282.339×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

13,984,915

N-mm

142.606×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

472,706

mm³

4727.059

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

101,068,420

mm³

101.068×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

213.808

21.381

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

422.993

42.299

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

228.838

N/mm

233.35

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

162.728

N/mm

165.936

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

896,390

91406.4

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

20913.782

2132.6

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

5380.0

538.0

piDeg=[26.636802529678082] piRad=[0.4648999063464371] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=12000 (cm), Syt=-99.999 MPa, MAWP=0.64714 (MPa), HT_UPPCOL = 26900.0 (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 의한 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	τ_xy	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	12000.0	0	0	0.4978	1493.4							1493.40	1493.40	1493.40	> NG	-99.999	-14.93	-14.93	1.0		1593.41	0	0	0	0
P1	10	11908.8	91.2	0.0009	0.4987	1493.4	4.03	1.34					1497.43	1494.74	1496.09	> NG	-99.999	-14.96	-14.95	1.0	0.01	1596.10	0.068	0.023	0.011	0.004
P2	30	11196.2	803.8	0.0079	0.5057	1493.4	35.76	11.54					1529.16	1504.94	1517.20	> NG	-99.999	-15.17	-15.16	1.0	0.01	1617.21	0.608	0.196	0.101	0.033
P3	50	9856.7	2143.3	0.0210	0.5188	1493.4	96.87	29.24					1590.27	1522.64	1557.56	> NG	-99.999	-15.58	-15.56	1.0	0.02	1657.57	1.646	0.497	0.274	0.083
P4	90	6000.0	6000.0	0.0588	0.5566	1493.4	294.20	58.84	242.22	58.57	228.84	162.73	1971.25	1323.40	1762.92	> NG	-99.999	-17.63	-16.69	1.0	0.94	1862.94	5	1	0.833	0.167	Column Attached Equator Plate
P4	130	2143.3	9856.7	0.0967	0.5945	1493.4	256.17	323.80					1749.57	1817.20	1784.35	> NG	-99.999	-17.84	-17.82	1.0	0.02	1884.36	4.354	5.503	0.726	0.917
P5	150	803.8	11196.2	0.1098	0.6076	1493.4	317.28	341.50					1810.68	1834.90	1822.91	> NG	-99.999	-18.23	-18.22	1.0	0.01	1922.93	5.392	5.804	0.899	0.967
P6	170	91.2	11908.8	0.1168	0.6146	1493.4	349.01	351.70					1842.41	1845.10	1843.76	> NG	-99.999	-18.44	-18.43	1.0	0.01	1943.77	5.932	5.977	0.989	0.996
P7	180	0	12000.0	0.1177	0.6155	1493.4	353.04	353.04					1846.44	1846.44	1846.44	> NG	-99.999	-18.46	-18.45	1.0	0.01	1946.46	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])= 28
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 47941.92
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 12000
MRA(sWt[tid][20][10])= 452.389
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 =	7	Columns
2. gCol[tid][2] =	Column OD	OD =	609.6	mm
3. gCol[tid][3] =	Column thk	thk =	6.35	mm
4. gCol[tid][4] =	Tank Height	Htank =	9000	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	2690	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	6310	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	11670	mm
8. gCol[tid][8] =	Brace Angle	BRang =	38.7451	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	13.468	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	SA553-TYPE1	t13.5 ~ 13.5	SHT	28	47.942	58.489	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t13.5, t8×2215×2690	SHT	7	3.010	3.311	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø609.6×6.35t × 6310L	PCS	7	4.172	4.172	000,000	000,000	3
4	BRACE ( PIPE, θ= 38.7451 deg.)	null	Ø0×0t × 8090L	PCS	14			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:SA553-TYPE1(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)	SA553-TYPE1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				56	55.124	65.972	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. SN2345	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 9000 mm, CA = 1 mm, SG = 0.5, Pg= 5.076147 kg/cm2(=497.8 kPa), Pe= 0.45 kg/cm2(=44.13 kPa), 수압테스트압력 GsetMAWP=0 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-1], DTEMP = 40 ℃, Sd = -99.999 MPa, St = -99.999 MPa, Samb = 0 MPa, LSR = Samb/Sd = 0, Ft = -99.999 MPa, Fy = -99.999 MPa
1. Design (Operating) Condition

Segment

Each
Angle

Angle
α

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.

mmH2O

kPa

MPa

LSR

0^o

9002.0

497.8

0.00

-10.20

11.0

0.7+0.30

-0.4441

-0.4886

σeq = 9223372036854776

1 / 8

15.0^o

8848.6

497.8

0.00

-10.20

11.0

0.7+0.30

-0.4441

-0.4886

σeq = 9223372036854776

2 / 8

30.0^o

45.0^o

7683.7

387.3

1.9

499.7

0.00

-10.24

11.0

0.7+0.30

-0.4460

-0.4886

σeq = 9223372036854776

3 / 8

45.0^o

90.0^o

4501.0

3570.0

17.5

515.3

0.00

-10.59

11.0

0.7+0.30

-0.4616

-0.4886

σeq = 9223372036854776

4 / 8

45.0^o

135.0^o

1318.3

6752.7

33.1

530.9

0.00

-10.94

11.0

0.7+0.30

-0.4772

-0.4886

σeq = 9223372036854776

6 / 8

30.0^o

165.0^o

153.4

7917.6

38.8

536.6

0.00

-11.07

11.0

0.7+0.30

-0.4829

-0.4886

σeq = 9223372036854776

7 / 8

15.0^o

180.0^o

8071.0

39.6

537.4

0.00

-11.09

11.0

0.7+0.30

-0.4837

-0.4886

-0.4837

-0.4886

σeq = 9223372036854776

8 / 8

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 =	0.4978	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	-0.4837	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	-0.4886	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 9. SN2345	Rev. No.	[AAA4]

Segment

Each
Angle

Angle
α

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.

mmH2O

kPa

MPa

0^o

9000.0

0.00

0.00

0.00

11.0

-0.4441

-0.4886

σeq = 1120.05

1 / 8

15.0^o

8846.7

153.3

1.5

-0.03

-0.03

-0.03

11.0

-0.4441

-0.4886

σeq = 1123.434

2 / 8

30.0^o

45.0^o

7682.0

1318.0

12.9

-0.29

-0.29

-0.29

11.0

-0.4460

-0.4886

σeq = 1149.438

3 / 8

45.0^o

90.0^o

4500.0

44.1

-0.99

-0.99

-0.99

11.0

-0.4616

-0.4886

σeq = 1348.123

4 / 8

45.0^o

135.0^o

1318.0

7682.0

75.3

-1.69

-1.69

-1.69

11.0

-0.4772

-0.4886

σeq = 1289.83

6 / 8

30.0^o

165.0^o

153.3

8846.7

86.8

-1.95

-1.95

-1.95

11.0

-0.4829

-0.4886

σeq = 1315.253

7 / 8

15.0^o

180.0^o

9000.0

88.3

-1.99

-1.99

-1.99

11.0

-0.4837

-0.4886

σeq = 1318.63

8 / 8

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 =

0.4978

at Site

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

Pset(MAWP) =

CASE 2

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

MAWP =

-0.4837

at Site

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

Pset(MAWP) =

CASE 3

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

MAP =

-0.4886

at Shop

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

Pset(MAP) =

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 9. SN2345	Rev. No.	[AAA4]

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	0^o	9002.0	0	0	9000.0	0	0	10.00	11.0	-0.4441	-0.4886	61.4277	1 / 8
P1	15.0^o	15.0^o	8848.6	0	0	8846.7	153.3	1.5	10.00	11.0	-0.4441	-0.4886	61.4277	2 / 8
P2	30.0^o	45.0^o	7683.7	387.3	1.9	7682.0	1318.0	12.9	10.00	11.0	-0.4460	-0.4886	61.4277	3 / 8
P3	45.0^o	90.0^o	4501.0	3570.0	17.5	4500.0	4500.0	44.1	10.00	11.0	-0.4616	-0.4886	61.4277	4 / 8
P3	45.0^o	135.0^o	1318.3	6752.7	33.1	1318.0	7682.0	75.3	10.00	11.0	-0.4772	-0.4886	61.4277	6 / 8
P4	30.0^o	165.0^o	153.4	7917.6	38.8	153.3	8846.7	86.8	10.00	11.0	-0.4829	-0.4886	61.4277	7 / 8
P5	15.0^o	180.0^o	0	8071.0	39.6	0	9000.0	88.3	10.00	11.0	-0.4837	-0.4886	61.4277	8 / 8

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 =

0.4978

at Site

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

Pset(MAWP) =

CASE 2

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

MAWP =

-0.4837

at Site

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

Pset(MAWP) =

CASE 3

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

MAP =

-0.4886

at Shop

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

Pset(MAP) =

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

44.1299

SA553-TYPE1

Maximum. Allowable External Pressure

MAEP =

61.4277

0.6264

CS-1

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(0.5 atm = 50.6625 kPa) condition.
Harf Vacuum(0.5 atm = 50.6625 kPa) < MAEP(MinMAEP=61.4277 kPa)

● Shell Material	MATL =	SA553-TYPE1
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	-99.999	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	-99.999	MPa
- Allowable stress at Test temperature (-12℃~30℃) [Table 1A]	Samb =	0	MPa
- Allowable stress at Design temperature (60.0 ℃) [Table 1A]	S =	-99.999	MPa
- Lowest Stress Ratio, LSR = Samb / Sd	LSR =	0
o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-1 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	10.0	mm
Outside Radius of tank top head	Ro =	4511.0	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0002771
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-1)	Factor B =	27.71004	MPa
Design External Pressure, 　Pe = 0.45 (kg/cm²)	Pe =	44.1299	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	61.4277	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [10 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 9. SN2345	Rev. No.	[AAA4]

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.

SHT

kg/sht

0^o

0.00

-10.2

0.00

10.00

11.0

0.7+0.30

45.0

11.0

2356.2

7068.6

1,366

4,099

1 / 8

15.0^o

0.00

-10.2

-0.03

10.00

11.0

0.7+0.30

2 / 8

30.0^o

45.0^o

0.00

-10.2

-0.29

10.00

11.0

0.7+0.30

3 / 8

45.0^o

90.0^o

0.00

-10.6

-0.99

10.00

11.0

0.7+0.30

90.0

11.0

2827.4

7168.6

1,554

15,538

4 / 8

45.0^o

135.0^o

0.00

-10.9

-1.69

10.00

11.0

0.7+0.30

6 / 8

30.0^o

165.0^o

0.00

-11.1

-1.95

10.00

11.0

0.7+0.30

45.0

11.0

2356.2

7068.6

1,366

4,099

7 / 8

15.0^o

180.0^o

0.00

-11.1

-1.99

10.00

11.0

0.7+0.30

8 / 8

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [9 / 10]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 8. SN2388	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 12000 mm, CA = 1 mm, SG = 0.5, Pg= 5.076147 kg/cm²(=497.8 kPa), Pe= 0.45 kg/cm²(=44.13 kPa), 수압테스트압력 GsetMAWP=0 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-1], DTEMP = 40 ℃, Sd = -99.999 MPa, St = -99.999 MPa, Samb = 0 MPa, LSR = Samb/Sd = 0, Ft = -99.999 MPa, Fy = -99.999 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	0^o	0	-13.9	0	0	12.30	13.5	0.7+0.50	#1	30.0	13.5	2094.4	6283.2	3	1,325	3,975	1 / 10
P1	10.0^o	10.0^o	0	-13.9	-0.03	-0.03	12.30	13.5	0.7+0.50									2 / 10
P2	20.0^o	30.0^o	0	-13.9	-0.24	-0.24	12.30	13.5	0.7+0.50									3 / 10
P3	20.0^o	50.0^o	0	-14.1	-0.63	-0.63	12.30	13.5	0.7+0.50	#2	20.0	13.5	2094.4	6700.1	4	1,147	4,588	4 / 10
P4	40.0^o	90.0^o	0	-14.6	-1.76	-1.76	12.30	TD90USED	0.7+0.50	#3	80.0	13.5	2692.8	8477.6	14	2,201	30,817	5 / 10
P4	40.0^o	130.0^o	0	-15.2	-2.90	-2.90	12.30	13.5	0.7+0.50	#3	80.0	13.5	2692.8	8477.6	14	2,201	30,817	7 / 10
P5	20.0^o	150.0^o	0	-15.4	-3.29	-3.29	12.30	13.5	0.7+0.50	#4	20.0	13.5	2094.4	6500.1	4	1,147	4,588	8 / 10
P6	20.0^o	170.0^o	0	-15.5	-3.50	-3.50	12.30	13.5	0.7+0.50	#5	30.0	13.5	2094.4	6283.2	3	1,325	3,975	9 / 10
P7	10.0^o	180.0^o	0	-15.5	-3.53	-3.53	12.30	13.5	0.7+0.50	#5	30.0	13.5	2094.4	6283.2	3	1,325	3,975	10 / 10

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 10 mm; Pe :44.13 kPa ≤ Pa = 49.78 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0002494; Factor_B = 24.945 MPa

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=9000 (cm), Sd=-99.999 MPa, Pg=0.4978 (MPa), HT_UPPCOL = 20100.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=70.528 (N-mm), Nφ=8.261 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

9000

900.0

　R = Inside Radius in Corroded Condition

R =

4501

450.1

　L = Design Liquid level

L =

8070

807.0

　CA = Corrosion Allowance

CA =

1.0

0.1

　Wt = Total Weight at Operating Condition

Wt =

1,629,691

166182.3

　S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = -99.999MPa

S =

-99.999

MPa

-1019.706

Kg/cm²

　P = Design internal GAS Pressure

P =

0.498

MPa

5.076

Kg/cm²

　SG = Design Specific Gravity

SG =

0.5

　γ = Liquid Density

γ =

4.903325E-6

N/mm³

500.0

Kg/m³

　d = Outsdie diameter of Column

d =

406.4

40.64

　N = Number of Support Column

N =

5.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.53002

degree

0.46304

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

37.51847

degree

0.65482

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9915365

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1923620

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4466667

　C5 = 22 / φ

C5 =

0.8292492

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4466667

Calculation Result :

　PM = P×R/2

PM =

1120.299

N-mm

11.424

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

70.528

N-mm

0.719

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

8.261

N-mm

0.084

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

1299.37

N/mm

1324.989

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

1042.54

N/mm

1063.095

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

-11.09

-1.109

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

-10.97

-1.097

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

9,223,372,036,854,776

MPa

9.223372036854776E15

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

154,930,744

N-mm

1579.854×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

49,720,581

N-mm

507.009×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

79,026,744

N-mm

805.849×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

20,476,764

N-mm

208.805×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

136.54

N/mm

139.232

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

94,334,555

N-mm

961.945×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

53,942,186

N-mm

550.057×10³

Kg-cm

　Za = IH / LA × t

Za =

-6563475.87

mm³

-6.563×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

707,181,464

mm³

707.181×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

2.9337E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

8.184775E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1023.577

102.358

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

27.995

N/mm

28.547

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

7,359,059

N-mm

75041.515

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

3,753,693

N-mm

38277.016

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

262,871

mm³

2628.712

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

41,828,645

mm³

41.829×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

159.122

15.912

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

314.831

31.483

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

86.015

N/mm

87.711

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

63.669

N/mm

64.924

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

259,706

26482.7

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

3699.031

377.2

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

4020.893

402.089

piDeg=[26.53002101801117] piRad=[0.46303621738759276] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=9000 (cm), Sd=-99.999 MPa, Pg=0.4978 (MPa), HT_UPPCOL = 20100.0 (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 의한 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	τ_xy	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	9002.0	0	0	0.4978	1120.3							1120.30	1120.30	9223372036854776.00	> NG	-99.999	-10.20	-10.20	1.0		9223464271497592.00	0	0	0	0
P1	15	8848.6	0	0	0.4978	1120.3							1120.30	1120.30	9223372036854776.00	> NG	-99.999	-10.20	-10.20	1.0		9223464271497592.00	0	0	0	0
P2	45	7683.7	387.3	0.0019	0.4997	1120.3	8.01	0.54					1128.31	1120.84	9223372036854776.00	> NG	-99.999	-10.25	-10.24	1.0	0.01	9223464271497592.00	0.484	0.033	0.081	0.005
P3	90	4501.0	3570.0	0.0175	0.5153	1120.3	70.53	8.26	136.54	27.99	86.01	63.67	1299.37	1042.54	9223372036854776.00	> NG	-99.999	-10.97	-10.59	1.0	0.38	9223464271497592.00	4.26	0.499	0.71	0.083	Column Attached Equator Plate
P3	135	1318.3	6752.7	0.0331	0.5309	1120.3	66.83	82.21					1187.12	1202.50	9223372036854776.00	> NG	-99.999	-10.95	-10.94	1.0	0.01	9223464271497592.00	4.036	4.965	0.673	0.828
P4	165	153.4	7917.6	0.0388	0.5366	1120.3	86.52	88.22					1206.82	1208.52	9223372036854776.00	> NG	-99.999	-11.08	-11.07	1.0	0.01	9223464271497592.00	5.226	5.329	0.871	0.888
P5	180	0	8071.0	0.0396	0.5374	1120.3	89.06	89.06					1209.36	1209.36	9223372036854776.00	> NG	-99.999	-11.09	-11.09	1.0		9223464271497592.00	5.379	5.379	0.897	0.897

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=9000 (cm), Syt=-99.999 MPa, MAWP=0.64714 (MPa), HT_UPPCOL = 20200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
　　　　Membrane Stres(By Roark Formula) Nθ=165.487 (N-mm), Nφ=33.097 (N-mm)

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

9000

900.0

　R = Inside Radius in Corroded Condition

R =

4500

450.0

　L = Hydrostatic-test Water Level

L =

9000

900.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

3,449,387

351739.5

　S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = -99.999MPa

S =

-99.999

MPa

-1019.706

Kg/cm²

　P = Design internal GAS Pressure

P =

0.498

MPa

5.076

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

406.4

40.64

　N = Number of Support Column

N =

5.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

26.67242

degree

0.46552

radians

　β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9912453

　C2 = Factor

C2 =

1.0000000

　C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)

C3 =

1.1982941

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4488889

　C5 = 22 / φ

C5 =

0.8248221

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4488889

Calculation Result :

　PM = P×R/2

PM =

1120.05

N-mm

11.421

Kg-cm

　Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]

Nθ =

165.487

N-mm

1.687

Kg-cm

　Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]

Nφ =

33.097

N-mm

0.337

Kg-cm

　ΣNθ = Max. Latitude Membrane Force
　　ΣNθ = Nθ + PM + VB - HB

ΣNθ =

1513.0

N/mm

1542.831

Kg/cm

　ΣNφ = Max. Meridional Membrane Force
　　ΣNφ = Nφ + PM - IP

ΣNφ =

972.02

N/mm

991.185

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

-13.18

-1.318

t(Point A) = Min. required thickness at point at A
　tReq =
√[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
S
＋ CA

tReq =

-13.48

-1.348

Effective equivalent stress(Von-Mises), σeq < S then OK
　σ_eq =
√[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τ_xy²]
(tu － CA)

σ_eq =

1348.123

MPa

13747.029

Kg/cm²

Calculation Result :

　Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }

Mo =

327,851,858

N-mm

3343.159×10³

Kg-cm

　ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 0.88^{196.4 × C5/N} - 1 ) / C5 ]

ΔMo =

104,823,050

N-mm

1068.898×10³

Kg-cm

　Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }

Mc =

167,229,978

N-mm

1705.271×10³

Kg-cm

　ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88^{196.4 × C5/N}) / N
　　+ 0.02804 × ( 1 - 0.88^{196.4 × C5/N} ) / C5 ]

ΔMc =

43,250,235

N-mm

441.03×10³

Kg-cm

VB : Membrance Force resulting from
longitudinal bending moment
　VB = Mvs / Za × t

VB =

285.771

N/mm

291.405

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

199,372,753

N-mm

2033.036×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

113,939,420

N-mm

1161.859×10³

Kg-cm

　Za = IH / LA × t

Za =

-1.046498447E7

mm³

-10.465×10³

cm³

　IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]

IH =

717,649,510

mm³

717.65×10³

cm³

　VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]

VI =

3.013E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

8.316317E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1028.644

102.864

HB : Membrance Force resulting from
latitude bending moment
　HB = Mks / Zv

HB =

58.308

N/mm

59.458

Kg/cm

　Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mks =

15,565,452

N-mm

158.723×10³

Kg-cm

　Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6

Mkm =

7,939,593

N-mm

80961.314

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

266,951

mm³

2669.507

cm²

　IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]

IV =

42,920,507

mm³

42.921×10³

cm³

　KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]

KA =

160.781

16.078

　KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]

KB =

318.075

31.807

IP : Membrance Force resulting from shear stress
　IP = 9×Wt / ( 2πN·R ) × C5

IP =

181.127

N/mm

184.698

Kg/cm

τ_xy : Shear Force, τ_xy = ( S' - P' ) / D'

　τ_xy =

134.301

N/mm

136.949

Kg/cm

　S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]

S' =

550,491

56134.4

　P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]

P' =

7913.831

807.0

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

4040.0

404.0

piDeg=[26.6724185367116] piRad=[0.4655215229355854] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=9000 (cm), Syt=-99.999 MPa, MAWP=0.64714 (MPa), HT_UPPCOL = 20200.0 (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 의한 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	τ_xy	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	9000.0	0	0	0.4978	1120.05							1120.05	1120.05	1120.05	> NG	-99.999	-11.20	-11.20	1.0		1220.06	0	0	0	0
P1	15	8846.7	153.3	0.0015	0.4993	1120.05	5.08	1.68					1125.13	1121.73	1123.43	> NG	-99.999	-11.23	-11.23	1.0		1223.45	0.154	0.051	0.026	0.008
P2	45	7682.0	1318.0	0.0129	0.5107	1120.05	44.45	13.71					1164.50	1133.76	1149.44	> NG	-99.999	-11.49	-11.49	1.0		1249.45	1.343	0.414	0.224	0.069
P3	90	4500.0	4500.0	0.0441	0.5419	1120.05	165.49	33.10	285.77	58.31	181.13	134.30	1513.00	972.02	1348.12	> NG	-99.999	-13.48	-12.19	1.0	1.29	1448.14	5	1	0.833	0.167	Column Attached Equator Plate
P3	135	1318.0	7682.0	0.0753	0.5731	1120.05	154.13	184.88					1274.18	1304.93	1289.83	> NG	-99.999	-12.90	-12.89	1.0	0.01	1389.84	4.657	5.586	0.776	0.931
P4	165	153.3	8846.7	0.0868	0.5846	1120.05	193.50	196.90					1313.55	1316.95	1315.25	> NG	-99.999	-13.15	-13.14	1.0	0.01	1415.27	5.846	5.949	0.974	0.992
P5	180	0	9000.0	0.0883	0.5861	1120.05	198.58	198.58					1318.63	1318.63	1318.63	> NG	-99.999	-13.19	-13.18	1.0	0.01	1418.64	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])= 16
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 23735.108
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 9000
MRA(sWt[tid][20][10])= 274.871
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 =	5	Columns
2. gCol[tid][2] =	Column OD	OD =	406.4	mm
3. gCol[tid][3] =	Column thk	thk =	6.35	mm
4. gCol[tid][4] =	Tank Height	Htank =	7500	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	2020	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	5480	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	8780	mm
8. gCol[tid][8] =	Brace Angle	BRang =	43.2815	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.6945	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	SA553-TYPE1	t11 ~ 0	SHT	16	23.735	28.957	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t0, t8×1577×2020	SHT	5	1.044	1.148	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø406.4×6.35t × 5480L	PCS	5	1.716	1.716	000,000	000,000	3
4	BRACE ( PIPE, θ= 43.2815 deg.)	null	Ø0×0t × 7528L	PCS	10			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:SA553-TYPE1(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)	SA553-TYPE1	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				36	26.496	31.822	000,000	000,000	12

]CODE_CALC() 111 Tank Qty = iMax = [12]
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [4] mySum = [90.0] tUsed = [32.0]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [70.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [40.0]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [40.0]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [6] mySum = [90.0] tUsed = [83.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [3] mySum = [90.0] tUsed = [40.5]mm
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [22.5]mm
]

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 = [2025-04-03 10:20:50.0576]
종료시간 = [2025-04-03 10:20:50.0792]

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