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

시작시간 = [2024-12-05 09:35:12.0526]
req=[org.apache.catalina.connector.RequestFacade@7826fc2]
res=[org.apache.catalina.connector.ResponseFacade@4772d68]
conn=[com.mysql.jdbc.JDBC4Connection@3da1b0e]
cdAry[0] = []
cdAry[1] = [TABLE 1.1) String uAry[][]
query[0] = Select sid, SYMBOL, UNIT, DESCR, kid From S_DATA Where kid=7 and sid=0

sid	SYMBOL	UNIT	DESCR	kid
0	PUnit	kg/cm²	0 | kg/cm² | 입력 압력단위 (Pressue Input Unit) = kg/cm² |	7

]
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=7 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	3053.630	3053.630	3053.630	3053.630	8181.230	3053.630
1	Storage Capacity [저장용량]	m³	V_sto	2752.170	2752.170	2752.170	2752.170	8143.010	3053.630
2	Vapor Space Capacity	m³	V_hil	301.460	301.460	301.460	301.460	38.220
3	Storage Capacity Ratio	%	R_Sto	90.130	90.130	90.130	90.130	99.530	100.000
4	Vapor Space Ratio	%	R_vapor	9.870	9.870	9.870	9.870	0.470
10	A. WEIGHT SUMMARY
11	SHELL PLATE	Ton	Ws	373.962	319.336	318.935	318.935	625.870	364.479
12	UPPER COLUMN (PLATE)	Ton	Wuc	13.797	13.819	13.819	13.819	32.290	13.783
13	LOWER COLUMN (PIPE)	Ton	Wc	22.952	22.934	22.934	22.934	56.399	33.093
14	CROSS BRACE (PIPE)	Ton	Wb	15.561	15.547	15.547	15.547	38.778	20.497
15	ROOF PLATFORM & STAIRWAY	Ton	Wr	20.657	20.641	20.641	20.641	50.759	29.784
16	WATER SPRAY AND ATTACHMENT	Ton	Wsp	18.362	18.347	18.347	18.347	45.119	26.474
17	MANHOLE & NOZZLE	Ton	Wn	16.300	16.300	16.300	16.300	19.500	16.300
18	INTERNAL LADDER & ATTACHMENT	Ton	Wi	12.861	12.861	12.861	12.861	15.386	12.861
19	ANCHOR BOLT/NUT	Ton	Wa	3.180	3.180	3.180	3.180	4.452	3.180
20	COLUMN FIRE PROOFING	Ton	Win	40.300	40.300	40.300	40.300	70.500	40.300
21	BLANK 1	Ton	W_1
22	BLANK 2	Ton	W_2
23	BLANK 3	Ton	W_3
24	BLANK 4	Ton	W_4
25	BLANK 5	Ton	W_5
26	Lower-Column O.D	mm	Dcol	914.400	914.400	914.400	914.400	1066.800	914.400
27	Lower-Column Thickness	mm	Tcol	14.000	14.000	14.000	14.000	16.000	14.000
28	Cross-Brace O.D	mm	Dbrace	273.100	273.100	273.100	273.100	323.500	273.100
29	Cross-Brace Thickness	mm	Tbrace	12.700	12.700	12.700	12.700	15.600	12.700
30	■ EMPTY WEIGHT (1 Unit)	Ton	We	537.930	483.270	482.860	482.860	959.050	560.750					We = W(1)+ .. +W(10)
31	B. LOADING DATA
32	CONTENTS WEIGHT (at Operating)	Ton	Wc	1480.670	1786.160	1720.110	1640.290	4885.810	216.810					Wc = Vsto * S.G
33	HYDROSTATIC TEST WATER WEIGHT	Ton	Wt	3053.630	3053.630	3053.630	3053.630	8181.230	3053.630					Wt = Vnom * 1.0
34	1) VERTICAL LOAD
35	EMPTY WEIGHT	Ton	We	537.930	483.270	482.860	482.860	959.050	560.750					We = W(1)+ .. +W(10)
36	OPERATING WEIGHT	Ton	Wo	2018.600	2269.430	2202.970	2123.150	5844.860	777.560					Wo = We + Wc
37	HYDROSTATIC TEST WEIGHT	Ton	Wh	3591.560	3536.900	3536.490	3536.490	9140.280	3614.380					Wh = We + Wt
38	2) HORIZONTAL LOAD
39	SEISMIC FACTOR (CS=0.29 Fix)		CS	0.290	0.290	0.290	0.290	0.290	0.290
40	SEISMIC LOAD (Base Shear) Vs = CS x Wo	Ton	Vs	585.390	658.130	638.860	615.710	1695.010	225.490					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=7 and sid<100 Order By sid

sid	SYMBOL	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10
1	TNO	T-3201(4)	T-3205(3)	T-3208(3)	T-3213(3)	TKK	LH 2
2	CODE	DIV. 2	DIV. 2	DIV. 2	DIV. 2	DIV. 2	DIV. 1
3	CONTENT	Propylene	Butadiene	Crude C4	HP Petrochemical	Mixed C4	LH 2
4	SG	0.538	0.649	0.625	0.596	0.6	0.071
5	MATL	SA537-CL2	SA537-CL2	SA537-CL2	SA537-CL2	SA516-65	SA553-TYPE1
6	DTEMP	70	70	70	70	87	87
7	Sd	230.00	230.00	230.00	230.00	148.49	178.20
8	Di	18000	18000	18000	18000	25000	18000
9	CA	3.2	3.2	3.2	3.2	3.0	0
10	HT	12000	12000	12000	12000	15500	15500
11	HHLL	14500	14500	14500	14500	24000	18000
12	HLL	14100	14100	14100	14100	24000	18000
13	LLL	2300	2300	2300	2300	1000	1000
14	LLLL	2000	2000	2000	2000	1000	1000
15	Pi	21.6	18.0	18.0	18.0	7.9	5
16	Pe	1.033227	1.033227	1.033227	1.033227	1.05	1.05
17	MDMT	-15	-15	-15	-15	-10	-10
18	E	1.0	1.0	1.0	1.0	1	1
19	TQTY	4.0	4.0	4.0	4.0	1	1
20	CQTY	10	10	10	10	14	10
21	SQTY	9	9	9	9	10	9
22	CACB	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0
23	L	64.0	64.0	64.0	64.0	64	64
24	tdReq	46.26	39.63	39.56	39.48	41.62	12.70
25	twReq	36.68	30.89	30.89	30.89	37.15	6.96
26	tmReq	33.52	28.26	28.26	28.26	34.38	6.96
27	teReq	16.05	18.36	18.39	18.42	30.98	44.63
28	tTops	45.5	39.0	39.0	39.0	37.0	45.5
29	tMids	47.0	40.5	40.0	40.0	42.0	45.5
30	tBtms	47.0	40.5	40.5	40.5	42.5	45.5
31	tUsed	47.0	40.5	40.5	40.5	42.5	45.5
32	MSG	OK	OK	OK	OK	OK	OK
33	tdCyo	89.53	76.21	76.07	75.91	80.37	25.44
34	ttCyt	76.7	65.09	65.09	65.09	77.42	13.93
35	tCyli	90.5	77.0	77.0	77.0	81.5	26.5

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

1	1	TANK NO. (Max. 40 Char.)	TNO =		T-3201(4) 0	T-3205(3) 0	T-3208(3) 0	T-3213(3) 0	TKK 0	LH 2 0
2	2	VESSEL DESIGN CODE (ASME SEC. VIII, Div. 1,2)	CODE =		DIV. 2 2	DIV. 2 2	DIV. 2 2	DIV. 2 2	DIV. 2 2	DIV. 1 1
3	3	STORAGE LIQUID NAME	CONTENT =		Propylene 0	Butadiene 0	Crude C4 0	HP Petrochemical 0	Mixed C4 0	LH 2 0
4	4	DESIGN SPECIFIC GRAVITY	SG =		0.538 0.538	0.649 0.649	0.625 0.625	0.596 0.596	0.6 0.6	0.071 0.071
5	5	MATERIAL OF SHELL PLATE	MATL =		SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA537-CL2 0	SA516-65 0	SA553-TYPE1 0
6	6	DESIGN TEMPERATURE (Max.)	DTEMP =	℃	70 70	70 70	70 70	70 70	87 87	87 87
7	7	ALLOWABLE STRESS at Deisin(Operating)	Sd =	MPa	230.00 230	230.00 230	230.00 230	230.00 230	148.49 148.49	178.20 178.2
8	8	TANK INSIDE DIAMETER	Di =	mm	18000 18000	18000 18000	18000 18000	18000 18000	25000 25000	18000 18000
9	9	CORROSION ALLOWANCE (SHELL)	CA =	mm	3.2 3.2	3.2 3.2	3.2 3.2	3.2 3.2	3.0 3	0 0
10	10	TANK EQUATOR LEVEL (FROM GROUND)	HT =	mm	12000 12000	12000 12000	12000 12000	12000 12000	15500 15500	15500 15500
11	11	(SHELL 두께계산 높이) HIGH HIGH LIQUID LEVEL	HHLL =	mm	14500 14500	14500 14500	14500 14500	14500 14500	24000 24000	18000 18000
12	12	(Storage 용량계산 액높이) HIGH LIQUID LEVEL	HLL =	mm	14100 14100	14100 14100	14100 14100	14100 14100	24000 24000	18000 18000
13	13	LOW LIQUID LEVEL	LLL =	mm	2300 2300	2300 2300	2300 2300	2300 2300	1000 1000	1000 1000
14	14	LOW LOW LIQUID LEVEL	LLLL =	mm	2000 2000	2000 2000	2000 2000	2000 2000	1000 1000	1000 1000
15	15	DESIGN INTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pi =	kg/cm² kPa	21.6 2118.2364	18.0 1765.197	18.0 1765.197	18.0 1765.197	7.9 774.72535	5 490.3325
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
17	17	MIN.DESIGN METAL TEMPERATURE	MDMT =	℃	-15 -15	-15 -15	-15 -15	-15 -15	-10 -10	-10 -10
18	18	SHELL JOINT EFFICIENCY	E =		1.0 1	1.0 1	1.0 1	1.0 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
20	20	COLUMN QUANTITY (수량자동계산)	CQTY =	EA	10 10	10 10	10 10	10 10	14 14	10 10
21	21	SHELL SEGMENT QUANTITY (수량자동계산)	SQTY =	EA	9 9	9 9	9 9	9 9	10 10	9 9
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	3.0 / 3.0 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
24	24	Req'd Thickness under Operating Cond. (Pi+Ps)	tdReq =	mm	46.26 46.26	39.63 39.63	39.56 39.56	39.48 39.48	41.62 41.62	12.70 12.7
25	25	Req'd Thickness under Hydro-test (MAWP) (Pt)	twReq =	mm	36.68 36.68	30.89 30.89	30.89 30.89	30.89 30.89	37.15 37.15	6.96 6.96
26	26	Req'd Thickness under Hydro-test (MAP) (Pt)	tmReq =	mm	33.52 33.52	28.26 28.26	28.26 28.26	28.26 28.26	34.38 34.38	6.96 6.96
27	27	Req'd Thickness under External Pressue (Pe)	teReq =	mm	16.05 16.05	18.36 18.36	18.39 18.39	18.42 18.42	30.98 30.98	44.63 44.63
28	28	● Top Shell Used Thickness	tTops =	mm	45.5 45.5	39.0 39	39.0 39	39.0 39	37.0 37	45.5 45.5
29	29	● Equator Used Thickness	tMids =	mm	47.0 47	40.5 40.5	40.0 40	40.0 40	42.0 42	45.5 45.5
30	30	● Bottom Shell Used Thickness	tBtms =	mm	47.0 47	40.5 40.5	40.5 40.5	40.5 40.5	42.5 42.5	45.5 45.5
31	31	● Max. (Spherical) Used Thickness	tUsed =	mm	47.0 47	40.5 40.5	40.5 40.5	40.5 40.5	42.5 42.5	45.5 45.5
32	32	If (tUsed ≤ 64mm) then Accetable Else (tUsed>64mm) Sd ReSelect	MSG =		OK 0	OK 0	OK 0	OK 0	OK 0	OK 0
33	33	(● Cylinder) Req'd Thickness under Oper. (Pi+Ps)	tdCyo =	mm	89.53 89.53	76.21 76.21	76.07 76.07	75.91 75.91	80.37 80.37	25.44 25.44
34	34	(● Cylinder) Req'd Thickness under Hydrotest(Pt)	ttCyt =	mm	76.7 76.7	65.09 65.09	65.09 65.09	65.09 65.09	77.42 77.42	13.93 13.93
35	35	● Max. (Cylinder) Used Thickness	tCyli =	mm	90.5 90.5	77.0 77	77.0 77	77.0 77	81.5 81.5	26.5 26.5

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 = 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	46.0	2827.4	8482.3	1	8,227		16,965		46.0	2827.4	8482.3	3	8227.30	24681.9	980.94	68.352
#2, 0	18	27	46.0	2827.4	7671	2	16,455	ø8171.8	30,684	5,796
#3, 3	18	45	46.0	2827.4	9996.5	4	29,145	ø12727.9	39,986		46.0	2827.4	9200	4	7286.37	29145.5	1655.1	80.713
#4, 4	14.5	59.5	46.0	8120.7	2277.7	6	36,676	ø15509.3	48,724	13,666	46.0	2436.2	9424.8	6	6112.70	36676.2	1796.11	101.568
#5, 5	61	120.5	47.0	2827.4	9679.7	20	190,604	ø18000		191,637	47.0	2827.4	9679.7	20	9530.20	190604.0	9135.7	516.612
#6, 8	14.5	135	47.0	8120.7	2277.7	6	37,474	ø15509.3	48,724	13,666	47.0	2436.2	9424.8	6	6245.59	37473.5	1796.11	101.568
#7, 9	18	153	47.0	2827.4	9996.5	4	29,779	ø12727.9	39,986		47.0	2827.4	9000	4	7444.76	29779.1	1655.1	80.713
#8, 10	18	171	47.5	2827.4	7671	2	16,991	ø8171.8	30,684	5,796	47.5	2827.4	8482.3	3	8495.58	25486.8	980.94	68.352
#9, 10	9	180	47.5	2827.4	8482.3	1	8,496		16,965
Total Quantity and Shell Weight						46	373,847	kg	272.7 (m)	230.6 (m)				46		373846.9	18000	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
#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	40.5	8120.7	2277.7	6	32,291	ø15509.3	48,724	13,666	40.5	2436.2	9424.8	6	5381.83	32291.0	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
Total Quantity and Shell Weight						46	318,630	kg	272.7 (m)	230.6 (m)				46		318629.9	18000	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
#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
Total Quantity and Shell Weight						46	318,231	kg	272.7 (m)	230.6 (m)				46		318231.3	18000	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
#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
Total Quantity and Shell Weight						46	318,231	kg	272.7 (m)	230.6 (m)				46		318231.3	18000	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	37.0	2792.5	8377.6	1	6,455		16,755		37.0	2792.5	8377.6	3	6455.25	19365.8	695.3	66.675
#2, 0	12.8	19.2	37.0	2792.5	7943.1	2	12,910	ø8221.7	31,773	5,045
#3, 3	12.8	32	37.0	2792.5	10404.9	4	23,963	ø13248	41,620		37.0	2792.5	9567.7	4	5990.82	23963.3	1204.1	82.504
#4, 4	9.5	41.5	37.0	8673.7	2072.6	6	28,256	ø16565.5	52,042	12,435	37.0	1858.6	8726.6	9	3139.54	28255.9	1238.65	97.283
#5, 5	45.5	87	39.5	2801.1	9926.6	28	212,062	ø24965.7	78,432	277,944	39.5	2801.1	9970	28	7573.64	212061.8	8707.75	683.905
#6, 6	51.5	138.5	42.0	2805	11297.4	28	259,364	ø25000		314,596	42.0	2805	11297.4	28	9263.00	259364.1	10016.15	786.667
#7, 9	9.5	148	42.0	8673.7	2072.6	6	32,074	ø16565.5	52,042	12,435	42.0	1858.6	8726.6	9	3563.80	32074.2	1238.65	97.283
#8, 10	12.8	160.8	42.5	2792.5	10404.9	4	27,525	ø13248	41,620		42.5	2792.5	9367.7	4	6881.35	27525.4	1204.1	82.504
#9, 11	12.8	173.6	42.5	2792.5	7943.1	2	14,830	ø8221.7	31,773	5,045	42.5	2792.5	8377.6	3	7414.82	22244.4	695.3	66.675
#10, 11	6.4	180	42.5	2792.5	8377.6	1	7,415		16,755
Total Quantity and Shell Weight						82	624,855	kg	362.8 (m)	627.5 (m)				88		624854.9	25000	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 = 18,000 (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	9	9	27.0	2827.4	8482.3	1	4,829		16,965		27.0	2827.4	8482.3	3	4829.07	14487.2	980.94	68.352
#2, 0	18	27	27.0	2827.4	7671	2	9,658	ø8171.8	30,684	5,796
#3, 3	18	45	27.0	2827.4	9996.5	4	17,107	ø12727.9	39,986		27.0	2827.4	9200	4	4276.78	17107.1	1655.1	80.713
#4, 4	14.5	59.5	27.0	8120.7	2277.7	6	21,527	ø15509.3	48,724	13,666	27.0	2436.2	9424.8	6	3587.89	21527.3	1796.11	101.568
#5, 5	61	120.5	27.0	2827.4	9679.7	20	109,496	ø18000		191,637	27.0	2827.4	9679.7	20	5474.80	109495.9	9135.7	516.612
#6, 8	14.5	135	27.0	8120.7	2277.7	6	21,527	ø15509.3	48,724	13,666	27.0	2436.2	9424.8	6	3587.89	21527.3	1796.11	101.568
#7, 9	18	153	27.0	2827.4	9996.5	4	17,107	ø12727.9	39,986		27.0	2827.4	9000	4	4276.78	17107.1	1655.1	80.713
#8, 10	18	171	27.0	2827.4	7671	2	9,658	ø8171.8	30,684	5,796	27.0	2827.4	8482.3	3	4829.07	14487.2	980.94	68.352
#9, 10	9	180	27.0	2827.4	8482.3	1	4,829		16,965
Total Quantity and Shell Weight						46	215,739	kg	272.7 (m)	230.6 (m)				46		215739.3	18000	1017.878
Total Site Weleding length (m)									503.3 (m)

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

탱크 공칭 및 저장용량											하중조건 (Loading Data)
No	TNO	Liquid Name	SG	D	DLL	Vnom	Vsto	Vhil	vRatio	탱크 표면적	4.Empty Steel	5,저장 액체	6.운전 중량	7.수압 수중량	8.수압 테스트중량
				mm	mm	ｍ³	ｍ³	ｍ³	(%)	m2	Ton
1	T-3201(4)	Propylene	0.538	18,000	14,500	3053.63	2752.17	301.46	9.9 (%)	1017.88	403.66	1480.67	1884.33	3053.63	3457.29
2	T-3205(3)	Butadiene	0.649	18,000	14,500	3053.63	2752.17	301.46	9.9 (%)	1017.88	348.06	1786.16	2134.22	3053.63	3401.69
3	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
4	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
5	TKK	Mixed C4	0.6	25,000	24,000	8181.23	8143.01	38.22	0.5 (%)	1963.5	721.67	4885.81	5607.48	8181.23	8902.9
6	LH 2	LH 2	0.071	18,000	18,000	3053.63	3053.63	0	0 (%)	1017.88	244.4	216.81	461.21	3053.63	3298.03

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

No.	F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10	F11	F12	F13	F14	F15	F16	F17	F18	F19	F20	F21	F22	F23	F24	F25	F26	F27	F28	F29	F30	F31	F32	F33	F34	Cylindrical Shell
No.	TNO	CODE	CONTENT	SG	Di	CA	HT	HHLL	Pi	Pe	MDMT	DTEMP	CQTY	MSG	MATL	Sd	gtReq Used Thk	6Roark tRoark	1_ASME tASME	td_2 tTest	td_3 tMAWP	td_5 tMAP	td_5 tVacuum	Shell Qty	Net Weight Ton	Column Qty	Tank Height BASE to EQ. Line (mm)	Upp. Colume Height(mm)	Low. Colume Height(mm)	Column PCD mm	BRACE 부착각도 (o)deg.	Column Size	Shell 각도 분할수	Spherical Top ~ Btm 두께(mm)	Shell matl id, Sd MPa	Cyl. td (mm)	Cyl. tt (mm)	Cyl. tt(MAWP) (mm)	Cyl. tt(MAP) (mm)
1	T-3201(4)	DIV. 2	Propylene	0.538	18000	3.2	12000	14500	21.6	1.033227	-15	70	10	OK	SA537-CL2	230.00	46 ~ 47.5	46.16	46.26	32.29	32.91	35.54	26.69	46	373.847	10 EA	12000	3700	8300	17600	33.2354	ø 863.6x9.65t	12	46 ~ 47.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	89.52	64.71	65.94	71.23
2	T-3205(3)	DIV. 2	Butadiene	0.649	18000	3.2	12000	14500	18.0	1.033227	-15	70	10	OK	SA537-CL2	230.00	39 ~ 40.5	39.56	39.63	27.24	27.88	30.44	26.69	46	318.630	10 EA	12000	3700	8300	17600	33.2354	ø 863.6x9.65t	12	39 ~ 40.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	76.21	54.56	55.84	60.99
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	7.9	1.05	-10	87	14	OK	SA516-65	148.49	37 ~ 42.5	41.56	41.62	35.55	36.26	39.38	35.96	88	624.855	14 EA	15500	4770	10730	24500	26.9345	ø 1066.8x15.09t	13	37 ~ 42.5	matid=2, Sd= 148.486 MPa,	80.36	71.19	72.63	78.89
6	LH 2	DIV. 1	LH 2	0.071	18000	0	15500	18000	5	1.05	-10	87	10	OK	SA553-TYPE1	178.20	27 ~ 27	12.70	12.70	7.22	13.82	13.96	25.91	46	215.739	10 EA	12000	3720	8280	17580	33.2689	ø 863.6x9.65t	12	27 ~ 27	matid=17, Sd= 178.2 MPa, W5	25.44	14.45	27.65	27.94

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : T-3201(4)자재 중량표				Rev. No.	[AAA4]

(1/6) Tank No. : [T-3201(4)] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 18000 mm, DLL = 14500 mm, CA = 3.2 mm, SG = 0.538, Pg = 2118.236 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 230.0 MPa, St= 394.25 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	18000.0	44.66	44.75	30.89	33.52	26.69	46.0	#1	27.0o	SA537-CL2	46.0	2827.4	8482.3	3	8,227	24,682	typ=0
	9.0o	9.0o	17889.2	44.66	44.75	30.90	33.53	26.69	46.0										typ=4
	18.0o	27.0o	17019.1	44.66	44.75	31.00	33.63	26.69	46.0										typ=4
2	18.0o	45.0o	15364.0	44.66	44.75	31.18	33.82	26.69	46.0	#2	18.0o	SA537-CL2	46.0	2827.4	9200.0	4	7,286	29,145	typ=3
3	14.5o	59.5o	13567.8	44.75	44.85	31.39	34.02	26.69	46.0	#3	14.5o	SA537-CL2	46.0	2436.2	9424.8	6	6,113	36,676	typ=3
4	30.5o	90.0o	9000.0	45.09	45.32	31.90	34.53	26.69	47.0	#4	61.0o	SA537-CL2	47.0	2827.4	9681.9	20	9,530	190,604	typ=1
	30.5o	120.5o	4432.2	45.70	45.80	32.41	35.05	26.69	47.0										typ=4
5	14.5o	135.0o	2636.0	45.88	45.98	32.61	35.25	26.69	47.0	#5	14.5o	SA537-CL2	47.0	2436.2	9424.8	6	6,246	37,474	typ=3
6	18.0o	153.0o	980.9	46.05	46.16	32.80	35.43	26.69	47.0	#6	18.0o	SA537-CL2	47.0	2827.4	9000.0	4	7,445	29,779	typ=3
7	18.0o	171.0o	110.8	46.14	46.25	32.90	35.53	26.69	47.5	#7	27.0o	SA537-CL2	47.5	2827.4	8482.3	3	8,496	25,487	typ=2
	9.0o	180.0o	0.0	46.16	46.26	32.91	35.54	26.69	47.5										typ=4
Sub-Total																46	Sht	373,847	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO102]

S-Tank Engineering	Spherical Tank Calculation				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : T-3205(3)자재 중량표				Rev. No.	[AAA4]

(2/6) Tank No. : [T-3205(3)] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 18000 mm, DLL = 14500 mm, CA = 3.2 mm, SG = 0.649, 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	0.0o	0.0o	18000.0	37.75	37.82	25.85	28.42	26.69	39.0	#1	27.0o	SA537-CL2	39.0	2827.4	8482.3	3	6,975	20,926	typ=0
	9.0o	9.0o	17889.2	37.75	37.82	25.87	28.44	26.69	39.0										typ=4
	18.0o	27.0o	17019.1	37.75	37.82	25.96	28.53	26.69	39.0										typ=4
2	18.0o	45.0o	15364.0	37.75	37.82	26.15	28.72	26.69	39.0	#2	18.0o	SA537-CL2	39.0	2827.4	9200.0	4	6,178	24,710	typ=3
3	14.5o	59.5o	13567.8	37.87	37.93	26.35	28.92	26.69	39.0	#3	14.5o	SA537-CL2	39.0	2436.2	9424.8	6	5,183	31,095	typ=3
4	30.5o	90.0o	9000.0	38.32	38.50	26.87	29.43	26.69	40.0	#4	61.0o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=1
	30.5o	120.5o	4432.2	39.01	39.07	27.38	29.95	26.69	40.0										typ=4
5	14.5o	135.0o	2636.0	39.23	39.30	27.58	30.15	26.69	40.5	#5	14.5o	SA537-CL2	40.5	2436.2	9424.8	6	5,382	32,291	typ=3
6	18.0o	153.0o	980.9	39.43	39.51	27.77	30.33	26.69	40.5	#6	18.0o	SA537-CL2	40.5	2827.4	9000.0	4	6,415	25,661	typ=3
7	18.0o	171.0o	110.8	39.54	39.62	27.86	30.43	26.69	40.5	#7	27.0o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=2
	9.0o	180.0o	0.0	39.56	39.63	27.88	30.44	26.69	40.5										typ=4
Sub-Total																46	Sht	318,630	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]

(3/6) 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	0.0o	0.0o	18000.0	37.75	37.82	25.77	28.42	26.69	39.0	#1	27.0o	SA537-CL2	39.0	2827.4	8482.3	3	6,975	20,926	typ=0
	9.0o	9.0o	17889.2	37.75	37.82	25.78	28.44	26.69	39.0										typ=4
	18.0o	27.0o	17019.1	37.75	37.82	25.88	28.53	26.69	39.0										typ=4
2	18.0o	45.0o	15364.0	37.75	37.82	26.07	28.72	26.69	39.0	#2	18.0o	SA537-CL2	39.0	2827.4	9200.0	4	6,178	24,710	typ=3
3	14.5o	59.5o	13567.8	37.86	37.93	26.27	28.92	26.69	39.0	#3	14.5o	SA537-CL2	39.0	2436.2	9424.8	6	5,183	31,095	typ=3
4	30.5o	90.0o	9000.0	38.30	38.48	26.78	29.43	26.69	40.0	#4	61.0o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=1
	30.5o	120.5o	4432.2	38.96	39.03	27.29	29.95	26.69	40.0										typ=4
5	14.5o	135.0o	2636.0	39.17	39.24	27.50	30.15	26.69	40.0	#5	14.5o	SA537-CL2	40.0	2436.2	9424.8	6	5,315	31,892	typ=3
6	18.0o	153.0o	980.9	39.37	39.44	27.68	30.33	26.69	40.5	#6	18.0o	SA537-CL2	40.5	2827.4	9000.0	4	6,415	25,661	typ=3
7	18.0o	171.0o	110.8	39.48	39.55	27.78	30.43	26.69	40.5	#7	27.0o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=2
	9.0o	180.0o	0.0	39.49	39.56	27.79	30.44	26.69	40.5										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]

(4/6) 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	0.0o	0.0o	18000.0	37.75	37.82	25.82	28.42	26.69	39.0	#1	27.0o	SA537-CL2	39.0	2827.4	8482.3	3	6,975	20,926	typ=0
	9.0o	9.0o	17889.2	37.75	37.82	25.83	28.44	26.69	39.0										typ=4
	18.0o	27.0o	17019.1	37.75	37.82	25.93	28.53	26.69	39.0										typ=4
2	18.0o	45.0o	15364.0	37.75	37.82	26.12	28.72	26.69	39.0	#2	18.0o	SA537-CL2	39.0	2827.4	9200.0	4	6,178	24,710	typ=3
3	14.5o	59.5o	13567.8	37.86	37.92	26.32	28.92	26.69	39.0	#3	14.5o	SA537-CL2	39.0	2436.2	9424.8	6	5,183	31,095	typ=3
4	30.5o	90.0o	9000.0	38.27	38.45	26.83	29.43	26.69	40.0	#4	61.0o	SA537-CL2	40.0	2827.4	9681.9	20	8,111	162,216	typ=1
	30.5o	120.5o	4432.2	38.90	38.97	27.34	29.95	26.69	40.0										typ=4
5	14.5o	135.0o	2636.0	39.11	39.18	27.54	30.15	26.69	40.0	#5	14.5o	SA537-CL2	40.0	2436.2	9424.8	6	5,315	31,892	typ=3
6	18.0o	153.0o	980.9	39.30	39.37	27.73	30.33	26.69	40.5	#6	18.0o	SA537-CL2	40.5	2827.4	9000.0	4	6,415	25,661	typ=3
7	18.0o	171.0o	110.8	39.40	39.47	27.83	30.43	26.69	40.5	#7	27.0o	SA537-CL2	40.5	2827.4	8482.3	3	7,244	21,731	typ=2
	9.0o	180.0o	0.0	39.41	39.48	27.84	30.44	26.69	40.5										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]

(5/6) 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 = 774.725 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	0.0o	0.0o	25000.0	35.62	35.66	29.52	32.64	35.96	37.0	#1	19.2o	SA516-65	37.0	2792.5	8377.6	3	6,455	19,366	typ=0
	6.4o	6.4o	24922.1	35.62	35.66	29.54	32.67	35.96	37.0										typ=4
	12.8o	19.2o	24304.7	35.62	35.66	29.71	32.83	35.96	37.0										typ=4
2	12.8o	32.0o	23100.6	35.84	35.88	30.03	33.16	35.96	37.0	#2	12.8o	SA516-65	37.0	2792.5	9567.7	4	5,991	23,963	typ=3
3	9.5o	41.5o	21862.0	36.15	36.19	30.37	33.49	35.96	37.0	#3	9.5o	SA516-65	37.0	1858.6	8726.6	9	3,140	28,256	typ=3
4	45.5o	87.0o	13154.2	38.45	38.35	32.72	35.84	35.96	39.5	#4	45.5o	SA516-65	39.5	2801.1	9970.0	28	7,574	212,062	typ=3
5	3.0o	90.0o	12500.0	38.65	38.52	32.89	36.01	35.96	42.0	#5	51.5o	SA516-65	42.0	2805.0	11335.6	28	9,263	259,364	typ=1
	48.5o	138.5o	3138.0	40.79	40.84	35.41	38.54	35.96	42.0										typ=4
6	9.5o	148.0o	1899.4	41.09	41.15	35.75	38.87	35.96	42.0	#6	9.5o	SA516-65	42.0	1858.6	8726.6	9	3,564	32,074	typ=3
7	12.8o	160.8o	695.3	41.39	41.45	36.07	39.20	35.96	42.5	#7	12.8o	SA516-65	42.5	2792.5	9367.7	4	6,881	27,525	typ=3
8	12.8o	173.6o	77.9	41.54	41.60	36.24	39.36	35.96	42.5	#8	19.2o	SA516-65	42.5	2792.5	8377.6	3	7,415	22,244	typ=2
	6.4o	180.0o	0.0	41.56	41.62	36.26	39.38	35.96	42.5										typ=4
Sub-Total																88	Sht	624,855	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO106]

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

(6/6) Tank No. : [LH 2] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 18000 mm, DLL = 18000 mm, CA = 0 mm, SG = 0.071, Pg = 490.333 kPa, Pe = 102.97 kPa
, SA553-TYPE1 matid=17, Sd= 178.2 MPa, St= 526.5 MPa, Thick Limit : W5

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0o	0.0o	18000.0	12.38	12.38	12.31	12.46	25.91	27.0	#1	27.0o	SA553-TYPE1	27.0	2827.4	8482.3	3	4,829	14,487	typ=0
	9.0o	9.0o	17889.2	12.38	12.39	12.32	12.47	25.91	27.0										typ=4
	18.0o	27.0o	17019.1	12.40	12.40	12.39	12.54	25.91	27.0										typ=4
2	18.0o	45.0o	15364.0	12.43	12.43	12.53	12.68	25.91	27.0	#2	18.0o	SA553-TYPE1	27.0	2827.4	9200.0	4	4,277	17,107	typ=3
3	14.5o	59.5o	13567.8	12.46	12.46	12.68	12.83	25.91	27.0	#3	14.5o	SA553-TYPE1	27.0	2436.2	9424.8	6	3,588	21,527	typ=3
4	30.5o	90.0o	9000.0	12.50	12.54	13.07	13.21	25.91	27.0	#4	61.0o	SA553-TYPE1	27.0	2827.4	9681.9	20	5,475	109,496	typ=1
	30.5o	120.5o	4432.2	12.62	12.62	13.45	13.59	25.91	27.0										typ=4
5	14.5o	135.0o	2636.0	12.65	12.66	13.60	13.74	25.91	27.0	#5	14.5o	SA553-TYPE1	27.0	2436.2	9424.8	6	3,588	21,527	typ=3
6	18.0o	153.0o	980.9	12.68	12.68	13.74	13.88	25.91	27.0	#6	18.0o	SA553-TYPE1	27.0	2827.4	9000.0	4	4,277	17,107	typ=3
7	18.0o	171.0o	110.8	12.70	12.70	13.81	13.96	25.91	27.0	#7	27.0o	SA553-TYPE1	27.0	2827.4	8482.3	3	4,829	14,487	typ=2
	9.0o	180.0o	0.0	12.70	12.70	13.82	13.96	25.91	27.0										typ=4
Sub-Total																46	Sht	215,739	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO107]

CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. T-3201(4)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.538, Pg= 21.6 kg/cm2(=2118.236 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2727 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	0o	18006.4	0	0	2118.2	2118.2	44.66	44.75	46.0	0.7+0.55	2.1816	2.3451			1.0	σeq = 222.787	1 / 12
P1	9.0o	9.0o	17895.6	0	0		2118.2	44.66	44.75	46.0	0.7+0.55	2.1816	2.3451			1.0	σeq = 222.787	2 / 12
P2	18.0o	27.0o	17025.1	0	0		2118.2	44.66	44.75	46.0	0.7+0.55	2.1816	2.3451			1.0	σeq = 222.787	3 / 12
P3	18.0o	45.0o	15369.4	0	0		2118.2	44.66	44.75	46.0	0.7+0.55	2.1816	2.3451			1.0	σeq = 222.787	4 / 12
P4	14.5o	59.5o	13572.7	930.5	4.9		2123.1	44.75	44.85	46.0	0.7+0.45	2.1767	2.3451			1.0	σeq = 223.305	5 / 12
P5	30.5o	90.0o	9003.2	5500.0	29.0		2147.2	45.09	45.32	47.0	0.7+0.48	2.1780	2.3705			1.0	σeq = 225.117	6 / 12
	30.5o	120.5o	4433.7	10069.5	53.1		2171.3	45.70	45.80	47.0	0.7+0.50	2.1793	2.3960			1.0	σeq = 223.173	8 / 12
P6	14.5o	135.0o	2637.0	11866.2	62.6		2180.8	45.88	45.98	47.0	0.7+0.32	2.1698	2.3960			1.0	σeq = 224.139	9 / 12
P7	18.0o	153.0o	981.3	13521.9	71.3		2189.5	46.05	46.16	47.0	0.7+0.14	2.1611	2.3960			1.0	σeq = 225.033	10 / 12
P8	18.0o	171.0o	110.8	14392.4	75.9		2194.1	46.14	46.25	47.5	0.7+0.55	2.1820	2.4214			1.0	σeq = 222.96	11 / 12
P9	9.0o	180.0o	0	14503.2	76.5		2194.7	46.16	46.26	47.5	0.7+0.54	2.1814	2.4214	2.1611	2.3451	1.0	σeq = 223.019	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 =	2.1182	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	2.1611	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	2.3451	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. T-3201(4)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.538, Pg= 21.6 kg/cm2(=2118.236 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2701.4 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	0o	18000.0	0	0	2701.4	2701.4	30.27	30.89	33.52	46.0	2.1816	2.3451	σeq = 381.276	1 / 12
P1	9.0o	9.0o	17889.2	110.8	1.1		2702.5	30.29	30.90	33.53	46.0	2.1816	2.3451	σeq = 381.472	2 / 12
P2	18.0o	27.0o	17019.1	980.9	9.6		2711.0	30.38	31.00	33.63	46.0	2.1816	2.3451	σeq = 375.501	3 / 12
P3	18.0o	45.0o	15364.0	2636.0	25.9		2727.3	30.57	31.18	33.82	46.0	2.1816	2.3451	σeq = 378.385	4 / 12
P4	14.5o	59.5o	13567.8	4432.2	43.5		2744.9	30.77	31.39	34.02	46.0	2.1767	2.3451	σeq = 381.541	5 / 12
P5	30.5o	90.0o	9000.0	9000.0	88.3		2789.7	31.28	31.90	34.53	47.0	2.1780	2.3705	σeq = 381.288	6 / 12
	30.5o	120.5o	4432.2	13567.8	133.1		2834.5	31.80	32.41	35.05	47.0	2.1793	2.3960	σeq = 382.354	8 / 12
P6	14.5o	135.0o	2636.0	15364.0	150.7		2852.1	32.00	32.61	35.25	47.0	2.1698	2.3960	σeq = 378.165	9 / 12
P7	18.0o	153.0o	980.9	17019.1	166.9		2868.3	32.18	32.80	35.43	47.0	2.1611	2.3960	σeq = 380.853	10 / 12
P8	18.0o	171.0o	110.8	17889.2	175.4		2876.8	32.28	32.90	35.53	47.5	2.1820	2.4214	σeq = 382.272	11 / 12
P9	9.0o	180.0o	0	18000.0	176.5		2877.9	32.29	32.91	35.54	47.5	2.1814	2.4214	σeq = 382.453	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 =

2.1182

at Site

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

Pset(MAWP) =

2.6478

27.0000

CASE 2

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

MAWP =

2.1611

at Site

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

Pset(MAWP) =

2.7014

27.5466

CASE 3

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

MAP =

2.3451

at Shop

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

Pset(MAP) =

2.9314

29.8920

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. T-3201(4)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.538, Pg= 21.6 kg/cm2(=2118.236 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2701.4 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
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	18006.4	0	0	18000.0	0	0	42.80	46.0	2.1816	2.3451	335.1168	1 / 12
P1	9.0o	9.0o	17895.6	0	0	17889.2	110.8	1.1	42.80	46.0	2.1816	2.3451	335.1168	2 / 12
P2	18.0o	27.0o	17025.1	0	0	17019.1	980.9	9.6	42.80	46.0	2.1816	2.3451	335.1168	3 / 12
P3	18.0o	45.0o	15369.4	0	0	15364.0	2636.0	25.9	42.80	46.0	2.1816	2.3451	335.1168	4 / 12
P4	14.5o	59.5o	13572.7	930.5	4.9	13567.8	4432.2	43.5	42.80	46.0	2.1767	2.3451	335.1168	5 / 12
P5	30.5o	90.0o	9003.2	5500.0	29.0	9000.0	9000.0	88.3	43.30	46.5	2.1780	2.3705	342.9544	6 / 12
	30.5o	120.5o	4433.7	10069.5	53.1	4432.2	13567.8	133.1	43.80	47.0	2.1793	2.3960	350.8818	8 / 12
P6	14.5o	135.0o	2637.0	11866.2	62.6	2636.0	15364.0	150.7	43.80	47.0	2.1698	2.3960	350.8818	9 / 12
P7	18.0o	153.0o	981.3	13521.9	71.3	980.9	17019.1	166.9	43.80	47.0	2.1611	2.3960	350.8818	10 / 12
P8	18.0o	171.0o	110.8	14392.4	75.9	110.8	17889.2	175.4	44.30	47.5	2.1820	2.4214	358.8989	11 / 12
P9	9.0o	180.0o	0	14503.2	76.5	0	18000.0	176.5	44.30	47.5	2.1814	2.4214	358.8989	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 =

2.1182

at Site

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

Pset(MAWP) =

2.6478

27.0000

CASE 2

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

MAWP =

2.1611

at Site

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

Pset(MAWP) =

2.7014

27.5466

CASE 3

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

MAP =

2.3451

at Shop

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

Pset(MAP) =

2.9314

29.8920

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

335.1168

3.4172

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=335.1168 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. T-3201(4)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.538, Pg= 21.6 kg/cm2(=2118.236 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2701.4 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	0o	44.66	44.8	30.89	33.52	26.69	46.0	0.7+0.55	#1	27.0	46.0	2827.4	8482.3	3	8,227	24,682	1 / 12
P1	9.0o	9.0o	44.66	44.8	30.90	33.53	26.69	46.0	0.7+0.55									2 / 12
P2	18.0o	27.0o	44.66	44.8	31.00	33.63	26.69	46.0	0.7+0.55									3 / 12
P3	18.0o	45.0o	44.66	44.8	31.18	33.82	26.69	46.0	0.7+0.55	#2	18.0	46.0	2827.4	9200.0	4	7,286	29,145	4 / 12
P4	14.5o	59.5o	44.75	44.8	31.39	34.02	26.69	46.0	0.7+0.45	#3	14.5	46.0	2436.2	9424.8	6	6,113	36,676	5 / 12
P5	30.5o	90.0o	45.09	45.3	31.90	34.53	26.69	47.0	0.7+0.48	#4	61.0	47.0	2827.4	9681.9	20	9,530	190,604	6 / 12
	30.5o	120.5o	45.70	45.8	32.41	35.05	26.69	47.0	0.7+0.50									8 / 12
P6	14.5o	135.0o	45.88	46.0	32.61	35.25	26.69	47.0	0.7+0.32	#5	14.5	47.0	2436.2	9424.8	6	6,246	37,474	9 / 12
P7	18.0o	153.0o	46.05	46.2	32.80	35.43	26.69	47.0	0.7+0.14	#6	18.0	47.0	2827.4	9000.0	4	7,445	29,779	10 / 12
P8	18.0o	171.0o	46.14	46.2	32.90	35.53	26.69	47.5	0.7+0.55	#7	27.0	47.5	2827.4	8482.3	3	8,496	25,487	11 / 12
P9	9.0o	180.0o	46.16	46.3	32.91	35.54	26.69	47.5	0.7+0.54									12 / 12

], CalcRpt[i][1]=[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 [1 / ??? ]				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=2.1182 (kg/cm²), HT_UPPCOL = 36800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=245.004, Nφ=16.25

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9003.2	mm	900.32	cm
4	L = Design Liquid level	L =	14500	mm	1450.0	cm
5	CA = Corrosion Allowance	CA =	3.2	mm	0.32	cm
6	Wt = Total Weight at Operating Condition	Wt =	18,242,393	N	1860206.4	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	2.118	MPa	21.6	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.538		0.538
10	γ = Liquid Density	γ =	5.275978E-6	N/mm³	538.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.13506	degree	0.42124	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.34583	degree	0.91361	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9962050		0.9962050
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0915155		1.0915155
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4088889		0.4088889
20	C5 = 22 / φ	C5 =	0.9115372		0.9115372
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4088889		0.4088889
22	Calculation Result :
23	PM = P×R/2	PM =	9535.289	N-mm	97.233	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	245.004	N-mm	2.498	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	16.25	N-mm	0.166	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	9939.34	N/mm	10135.306	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9286.98	N/mm	9470.084	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	46.26	mm	4.626	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	45.09	mm	4.509	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	217.494	MPa	2217.822	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	849,765,374	N-mm	8665.195×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	324,224,980	N-mm	3306.175×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	426,990,293	N-mm	4354.089×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	152,224,595	N-mm	1552.259×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	213.605	N/mm	217.816	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	492,643,912	N-mm	5023.57×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	259,214,354	N-mm	2643.251×103	Kg-cm
39	Za = IH / LA × t	Za =	109,550,490	mm³	109.55×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,309,054,655	mm³	4309.055×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8304E-5		1.8304E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.173649E-3		6.173649E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1868.363	mm	186.836	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	54.558	N/mm	55.634	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	43,351,667	N-mm	442.064×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	21,783,355	N-mm	222.128×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	794,594	mm³	7945.942	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	209,695,208	mm³	209.695×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	263.902	mm	26.39	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	523.12	mm	52.312	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	264.559	N/mm	269.775	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	183.46	N/mm	187.077	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,387,266	N	141461.7	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	36517.328	N	3723.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7362.617	mm	736.262	cm

piDeg=[24.13505563050982] piRad=[0.4212361859043923] 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=2.1182 (kg/cm²), HT_UPPCOL = 36800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	18006.4	0	0	2.1182	9535.29							9535.29	9535.29	222.79	< OK	230	44.66	44.75	46.0	0.09	3.14	0	0	0	0
P1	9	17895.6	0	0	2.1182	9535.29							9535.29	9535.29	222.79	< OK	230	44.66	44.75	46.0	0.09	3.14	0	0	0	0
P2	27	17025.1	0	0	2.1182	9535.29							9535.29	9535.29	222.79	< OK	230	44.66	44.75	46.0	0.09	3.14	0	0	0	0
P3	45	15369.4	0	0	2.1182	9535.29							9535.29	9535.29	222.79	< OK	230	44.66	44.75	46.0	0.09	3.14	0	0	0	0
P4	59.5	13572.7	930.5	0.0049	2.1231	9535.29	42.53	1.67					9577.82	9536.96	223.30	< OK	230	44.75	44.85	46.0	0.10	2.91	0.597	0.023	0.099	0.004
P5	90	9003.2	5500.0	0.0290	2.1472	9535.29	245.00	16.25	213.61	54.56	264.56	183.46	9939.34	9286.98	225.12	< OK	230	45.09	45.32	46.0	0.23	2.12	3.437	0.228	0.573	0.038	Column Attached Equator Plate
	120.5	4433.7	10069.5	0.0531	2.1713	9535.29	180.77	297.54					9716.06	9832.83	223.17	< OK	230	45.70	45.80	47.0	0.10	2.97	2.536	4.174	0.423	0.696
P6	135	2637.0	11866.2	0.0626	2.1808	9535.29	248.72	314.93					9784.01	9850.22	224.14	< OK	230	45.88	45.98	47.0	0.10	2.55	3.49	4.418	0.582	0.736
P7	153	981.3	13521.9	0.0713	2.1895	9535.29	309.27	333.03					9844.56	9868.32	225.03	< OK	230	46.05	46.16	47.0	0.11	2.16	4.339	4.672	0.723	0.779
P8	171	110.8	14392.4	0.0759	2.1941	9535.29	340.50	343.14					9875.79	9878.43	222.96	< OK	230	46.14	46.25	47.5	0.11	3.06	4.777	4.814	0.796	0.802
P9	180	0	14503.2	0.0765	2.1947	9535.29	344.46	344.46					9879.75	9879.75	223.02	< OK	230	46.16	46.26	47.5	0.10	3.04	4.833	4.833	0.805	0.805

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=18000 (cm), Syt=394.25 MPa, MAWP=2.64775 (kg/cm²), HT_UPPCOL = 37000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=661.949, Nφ=132.39

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Hydrostatic-test Water Level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	32,570,867	N	3321304.1	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	2.118	MPa	21.6	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.27465	degree	0.42367	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9959448		0.9959448
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0974476		1.0974476
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4111111		0.4111111
20	C5 = 22 / φ	C5 =	0.9062952		0.9062952
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4111111		0.4111111
22	Calculation Result :
23	PM = P×R/2	PM =	9531.9	N-mm	97.198	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	661.949	N-mm	6.75	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	132.39	N-mm	1.35	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	10475.49	N/mm	10682.027	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	9194.48	N/mm	9375.76	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	26.23	mm	2.623	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	25.15	mm	2.515	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	367.166	MPa	3744.051	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,516,673,707	N-mm	15465.768×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	574,987,461	N-mm	5863.24×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	762,098,540	N-mm	7771.242×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	270,148,258	N-mm	2754.746×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	377.409	N/mm	384.85	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	879,504,648	N-mm	8968.451×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	462,534,503	N-mm	4716.539×103	Kg-cm
39	Za = IH / LA × t	Za =	78,067,574	mm³	78.068×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,376,861,061	mm³	4376.861×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8838E-5		1.8838E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.280747E-3		6.280747E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1878.179	mm	187.818	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	95.768	N/mm	97.656	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	77,355,120	N-mm	788.803×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	38,869,418	N-mm	396.358×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	807,732	mm³	8077.324	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	215,536,570	mm³	215.537×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	266.842	mm	26.684	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	528.891	mm	52.889	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	469.807	N/mm	479.07	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	326.424	N/mm	332.86	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,481,509	N	253043.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	65968.346	N	6726.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7400.0	mm	740.0	cm

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=2.64775 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	18000.0	0	0	2.1182	9531.9							9531.90	9531.90	381.28	< OK	394.25	24.18	24.21	25.0	0.03	3.29	0	0	0	0
P1	9	17889.2	110.8	0.0011	2.1193	9531.9	7.34	2.44					9539.24	9534.34	381.47	< OK	394.25	24.19	24.22	25.0	0.03	3.24	0.055	0.018	0.009	0.003
P2	27	17019.1	980.9	0.0096	2.1278	9531.9	65.35	21.23					9597.25	9553.13	375.50	< OK	394.25	24.29	24.32	25.5	0.03	4.76	0.494	0.16	0.082	0.027
P3	45	15364.0	2636.0	0.0259	2.1441	9531.9	177.82	54.84					9709.72	9586.74	378.38	< OK	394.25	24.47	24.51	25.5	0.04	4.02	1.343	0.414	0.224	0.069
P4	59.5	13567.8	4432.2	0.0435	2.1617	9531.9	304.03	87.15					9835.93	9619.05	381.54	< OK	394.25	24.68	24.71	25.5	0.03	3.22	2.297	0.658	0.383	0.11
P5	90	9000.0	9000.0	0.0883	2.2065	9531.9	661.95	132.39	377.41	95.77	469.81	326.42	10475.49	9194.48	381.29	< OK	394.25	25.15	25.22	26.0	0.07	3.29	5	1	0.833	0.167	Column Attached Equator Plate
	120.5	4432.2	13567.8	0.1331	2.2513	9531.9	490.30	707.19					10022.20	10239.09	382.35	< OK	394.25	25.70	25.73	26.5	0.03	3.02	3.703	5.342	0.617	0.89
P6	135	2636.0	15364.0	0.1507	2.2689	9531.9	616.52	739.50					10148.42	10271.40	378.16	< OK	394.25	25.90	25.93	27.0	0.03	4.08	4.657	5.586	0.776	0.931
P7	153	980.9	17019.1	0.1669	2.2851	9531.9	728.99	773.11					10260.89	10305.01	380.85	< OK	394.25	26.08	26.12	27.0	0.04	3.40	5.506	5.84	0.918	0.973
P8	171	110.8	17889.2	0.1754	2.2936	9531.9	787.00	791.90					10318.90	10323.80	382.27	< OK	394.25	26.18	26.22	27.0	0.04	3.04	5.945	5.982	0.991	0.997
P9	180	0	18000.0	0.1765	2.2947	9531.9	794.34	794.34					10326.24	10326.24	382.45	< OK	394.25	26.19	26.23	27.0	0.04	2.99	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])= 373846.904
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	t46 ~ 47	SHT	46	373.847	456.093	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t47, t12×3013×3700	SHT	10	12.947	14.242	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	403.661	487.202	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. T-3205(3)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.649, 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	0o	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	9.0o	9.0o	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	18.0o	27.0o	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	18.0o	45.0o	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	14.5o	59.5o	13572.7	930.5	5.9		1771.1	37.87	37.93	39.0	0.7+0.37	1.8196	1.9890			1.0	σeq = 222.709	5 / 12
P5	30.5o	90.0o	9003.2	5500.0	35.0		1800.2	38.32	38.50	40.0	0.7+0.30	1.8159	2.0145			1.0	σeq = 222.549	6 / 12
	30.5o	120.5o	4433.7	10069.5	64.1		1829.3	39.01	39.07	40.0	0.7+0.23	1.8123	2.0399			1.0	σeq = 223.794	8 / 12
P6	14.5o	135.0o	2637.0	11866.2	75.5		1840.7	39.23	39.30	40.5	0.7+0.50	1.8263	2.0654			1.0	σeq = 222.158	9 / 12
P7	18.0o	153.0o	981.3	13521.9	86.1		1851.3	39.43	39.51	40.5	0.7+0.29	1.8157	2.0654			1.0	σeq = 223.423	10 / 12
P8	18.0o	171.0o	110.8	14392.4	91.6		1856.8	39.54	39.62	40.5	0.7+0.18	1.8102	2.0654			1.0	σeq = 224.09	11 / 12
P9	9.0o	180.0o	0	14503.2	92.3		1857.5	39.56	39.63	40.5	0.7+0.17	1.8095	2.0654	1.8095	1.989	1.0	σeq = 224.176	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 =	1.8095	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 [2 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. T-3205(3)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.649, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2261.9 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
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	18000.0	0	0	2261.9	2261.9	25.22	25.85	28.42	39.0	1.8255	1.9890	σeq = 378.257	1 / 12
P1	9.0o	9.0o	17889.2	110.8	1.1		2263.0	25.23	25.87	28.44	39.0	1.8255	1.9890	σeq = 378.49	2 / 12
P2	18.0o	27.0o	17019.1	980.9	9.6		2271.5	25.33	25.96	28.53	39.0	1.8255	1.9890	σeq = 371.478	3 / 12
P3	18.0o	45.0o	15364.0	2636.0	25.9		2287.8	25.52	26.15	28.72	39.0	1.8255	1.9890	σeq = 374.904	4 / 12
P4	14.5o	59.5o	13567.8	4432.2	43.5		2305.4	25.72	26.35	28.92	39.0	1.8196	1.9890	σeq = 378.658	5 / 12
P5	30.5o	90.0o	9000.0	9000.0	88.3		2350.2	26.23	26.87	29.43	40.0	1.8159	2.0145	σeq = 379.07	6 / 12
	30.5o	120.5o	4432.2	13567.8	133.1		2395.0	26.74	27.38	29.95	40.0	1.8123	2.0399	σeq = 379.743	8 / 12
P6	14.5o	135.0o	2636.0	15364.0	150.7		2412.6	26.95	27.58	30.15	40.5	1.8263	2.0654	σeq = 374.873	9 / 12
P7	18.0o	153.0o	980.9	17019.1	166.9		2428.8	27.13	27.77	30.33	40.5	1.8157	2.0654	σeq = 378.023	10 / 12
P8	18.0o	171.0o	110.8	17889.2	175.4		2437.3	27.23	27.86	30.43	40.5	1.8102	2.0654	σeq = 379.689	11 / 12
P9	9.0o	180.0o	0	18000.0	176.5		2438.4	27.24	27.88	30.44	40.5	1.8095	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 =

1.8095

at Site

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

Pset(MAWP) =

2.2619

23.0650

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 [2 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. T-3205(3)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.649, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2261.9 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
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	18006.4	0	0	18000.0	0	0	35.80	39.0	1.8255	1.9890	234.8265	1 / 12
P1	9.0o	9.0o	17895.6	0	0	17889.2	110.8	1.1	35.80	39.0	1.8255	1.9890	234.8265	2 / 12
P2	18.0o	27.0o	17025.1	0	0	17019.1	980.9	9.6	35.80	39.0	1.8255	1.9890	234.8265	3 / 12
P3	18.0o	45.0o	15369.4	0	0	15364.0	2636.0	25.9	35.80	39.0	1.8255	1.9890	234.8265	4 / 12
P4	14.5o	59.5o	13572.7	930.5	5.9	13567.8	4432.2	43.5	35.80	39.0	1.8196	1.9890	234.8265	5 / 12
P5	30.5o	90.0o	9003.2	5500.0	35.0	9000.0	9000.0	88.3	36.30	39.5	1.8159	2.0145	241.4050	6 / 12
	30.5o	120.5o	4433.7	10069.5	64.1	4432.2	13567.8	133.1	36.80	40.0	1.8123	2.0399	248.0736	8 / 12
P6	14.5o	135.0o	2637.0	11866.2	75.5	2636.0	15364.0	150.7	37.30	40.5	1.8263	2.0654	254.8324	9 / 12
P7	18.0o	153.0o	981.3	13521.9	86.1	980.9	17019.1	166.9	37.30	40.5	1.8157	2.0654	254.8324	10 / 12
P8	18.0o	171.0o	110.8	14392.4	91.6	110.8	17889.2	175.4	37.30	40.5	1.8102	2.0654	254.8324	11 / 12
P9	9.0o	180.0o	0	14503.2	92.3	0	18000.0	176.5	37.30	40.5	1.8095	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 =

1.8095

at Site

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

Pset(MAWP) =

2.2619

23.0650

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.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

234.8265

2.3946

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

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

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. T-3205(3)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.649, Pg= 18.0 kg/cm2(=1765.197 kPa), Pe= 1.033227 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=2261.9 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
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	37.75	37.8	25.85	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	9.0o	9.0o	37.75	37.8	25.87	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.96	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	37.75	37.8	26.15	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	14.5o	59.5o	37.87	37.9	26.35	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	30.5o	90.0o	38.32	38.5	26.87	29.43	26.69	40.0	0.7+0.30	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
	30.5o	120.5o	39.01	39.1	27.38	29.95	26.69	40.0	0.7+0.23									8 / 12
P6	14.5o	135.0o	39.23	39.3	27.58	30.15	26.69	40.5	0.7+0.50	#5	14.5	40.5	2436.2	9424.8	6	5,382	32,291	9 / 12
P7	18.0o	153.0o	39.43	39.5	27.77	30.33	26.69	40.5	0.7+0.29	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0o	171.0o	39.54	39.6	27.86	30.43	26.69	40.5	0.7+0.18	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0o	180.0o	39.56	39.6	27.88	30.44	26.69	40.5	0.7+0.17									12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 0. T-3201(4)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.538, Pg= 21.6 kg/cm²(=2118.236 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2701.4 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	0o	44.66	44.8	30.89	33.52	26.69	46.0	0.7+0.55	#1	27.0	46.0	2827.4	8482.3	3	8,227	24,682	1 / 12
P1	9.0o	9.0o	44.66	44.8	30.90	33.53	26.69	46.0	0.7+0.55									2 / 12
P2	18.0o	27.0o	44.66	44.8	31.00	33.63	26.69	46.0	0.7+0.55									3 / 12
P3	18.0o	45.0o	44.66	44.8	31.18	33.82	26.69	46.0	0.7+0.55	#2	18.0	46.0	2827.4	9200.0	4	7,286	29,145	4 / 12
P4	14.5o	59.5o	44.75	44.8	31.39	34.02	26.69	46.0	0.7+0.45	#3	14.5	46.0	2436.2	9424.8	6	6,113	36,676	5 / 12
P5	30.5o	90.0o	45.09	45.3	31.90	34.53	26.69	TD90USED	0.7+0.48	#4	61.0	47.0	2827.4	9681.9	20	9,530	190,604	6 / 12
	30.5o	120.5o	45.70	45.8	32.41	35.05	26.69	47.0	0.7+0.50									8 / 12
P6	14.5o	135.0o	45.88	46.0	32.61	35.25	26.69	47.0	0.7+0.32	#5	14.5	47.0	2436.2	9424.8	6	6,246	37,474	9 / 12
P7	18.0o	153.0o	46.05	46.2	32.80	35.43	26.69	47.0	0.7+0.14	#6	18.0	47.0	2827.4	9000.0	4	7,445	29,779	10 / 12
P8	18.0o	171.0o	46.14	46.2	32.90	35.53	26.69	47.5	0.7+0.55	#7	27.0	47.5	2827.4	8482.3	3	8,496	25,487	11 / 12
P9	9.0o	180.0o	46.16	46.3	32.91	35.54	26.69	47.5	0.7+0.54									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 [2 / ??? ]				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 (kg/cm²), HT_UPPCOL = 36900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=295.553, Nφ=19.602

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9003.2	mm	900.32	cm
4	L = Design Liquid level	L =	14500	mm	1450.0	cm
5	CA = Corrosion Allowance	CA =	3.2	mm	0.32	cm
6	Wt = Total Weight at Operating Condition	Wt =	20,689,715	N	2109763.8	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.649		0.649
10	γ = Liquid Density	γ =	6.364516E-6	N/mm³	649.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.20483	degree	0.42245	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.34583	degree	0.91361	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9960751		0.9960751
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0944815		1.0944815
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4100000		0.4100000
20	C5 = 22 / φ	C5 =	0.9089093		0.9089093
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4100000		0.4100000
22	Calculation Result :
23	PM = P×R/2	PM =	7946.224	N-mm	81.029	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	295.553	N-mm	3.014	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	19.602	N-mm	0.2	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8421.4	N/mm	8587.438	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7666.64	N/mm	7817.797	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	39.63	mm	3.963	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	38.32	mm	3.832	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	216.583	MPa	2208.532	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	963,766,321	N-mm	9827.681×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	366,545,705	N-mm	3737.726×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	484,273,514	N-mm	4938.216×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	172,155,062	N-mm	1755.493×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	240.952	N/mm	245.703	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	558,806,125	N-mm	5698.237×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	293,952,251	N-mm	2997.479×103	Kg-cm
39	Za = IH / LA × t	Za =	93,925,995	mm³	93.926×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,345,188,157	mm³	4345.188×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8569E-5		1.8569E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.227031E-3		6.227031E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1873.604	mm	187.36	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	61.331	N/mm	62.54	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	49,152,614	N-mm	501.217×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	24,698,216	N-mm	251.852×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	801,429	mm³	8014.295	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	212,712,858	mm³	212.713×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	265.417	mm	26.542	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	526.095	mm	52.61	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	299.186	N/mm	305.085	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	207.688	N/mm	211.783	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,574,933	N	160598.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	41652.593	N	4247.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7382.624	mm	738.262	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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	0.0059	1.7711	7946.22	51.31	2.01					7997.53	7948.24	222.71	< OK	230	37.87	37.93	39.0	0.06	3.17	0.597	0.023	0.099	0.004
P5	90	9003.2	5500.0	0.0350	1.8002	7946.22	295.55	19.60	240.95	61.33	299.19	207.69	8421.40	7666.64	222.55	< OK	230	38.32	38.50	39.5	0.18	3.24	3.437	0.228	0.573	0.038	Column Attached Equator Plate
	120.5	4433.7	10069.5	0.0641	1.8293	7946.22	218.07	358.93					8164.29	8305.15	223.79	< OK	230	39.01	39.07	40.0	0.06	2.70	2.536	4.174	0.423	0.696
P6	135	2637.0	11866.2	0.0755	1.8407	7946.22	300.04	379.91					8246.26	8326.13	222.16	< OK	230	39.23	39.30	40.5	0.07	3.41	3.49	4.418	0.582	0.736
P7	153	981.3	13521.9	0.0861	1.8513	7946.22	373.08	401.74					8319.31	8347.96	223.42	< OK	230	39.43	39.51	40.5	0.08	2.86	4.339	4.672	0.723	0.779
P8	171	110.8	14392.4	0.0916	1.8568	7946.22	410.76	413.94					8356.98	8360.16	224.09	< OK	230	39.54	39.62	40.5	0.08	2.57	4.777	4.814	0.796	0.802
P9	180	0	14503.2	0.0923	1.8575	7946.22	415.52	415.52					8361.75	8361.75	224.18	< OK	230	39.56	39.63	40.5	0.07	2.53	4.833	4.833	0.805	0.805

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=18000 (cm), Syt=394.25 MPa, MAWP=2.2065 (kg/cm²), HT_UPPCOL = 37000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=661.949, Nφ=132.39

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Hydrostatic-test Water Level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	32,139,894	N	3277357.1	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.27465	degree	0.42367	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9959448		0.9959448
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0974476		1.0974476
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4111111		0.4111111
20	C5 = 22 / φ	C5 =	0.9062952		0.9062952
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4111111		0.4111111
22	Calculation Result :
23	PM = P×R/2	PM =	7943.4	N-mm	81.0	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	661.949	N-mm	6.75	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	132.39	N-mm	1.35	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8883.26	N/mm	9058.404	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7612.2	N/mm	7762.284	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	22.19	mm	2.219	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	21.15	mm	2.115	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.589	MPa	3697.379	Kg/cm²
31	Calculation Result :
32	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
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	567,379,312	N-mm	5785.659×103	Kg-cm
34	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
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	266,573,697	N-mm	2718.295×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	372.415	N/mm	379.758	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	867,867,174	N-mm	8849.782×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	456,414,316	N-mm	4654.131×103	Kg-cm
39	Za = IH / LA × t	Za =	65,250,509	mm³	65.251×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,376,861,061	mm³	4376.861×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8838E-5		1.8838E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.280747E-3		6.280747E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1878.179	mm	187.818	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	94.501	N/mm	96.364	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	76,331,568	N-mm	778.365×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	38,355,103	N-mm	391.113×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	807,732	mm³	8077.324	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	215,536,570	mm³	215.537×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	266.842	mm	26.684	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	528.891	mm	52.889	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	463.59	N/mm	472.73	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	322.105	N/mm	328.456	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,448,674	N	249695.2	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	65095.462	N	6637.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7400.0	mm	740.0	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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
	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])= 318629.945
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	318.630	388.728	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	348.063	419.418	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 6]				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	0o	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	9.0o	9.0o	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	18.0o	27.0o	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	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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 / 6]				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	0o	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	9.0o	9.0o	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	18.0o	27.0o	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	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 6]				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
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	18006.4	0	0	18000.0	0	0	35.80	39.0	1.8255	1.9890	234.8265	1 / 12
P1	9.0o	9.0o	17895.6	0	0	17889.2	110.8	1.1	35.80	39.0	1.8255	1.9890	234.8265	2 / 12
P2	18.0o	27.0o	17025.1	0	0	17019.1	980.9	9.6	35.80	39.0	1.8255	1.9890	234.8265	3 / 12
P3	18.0o	45.0o	15369.4	0	0	15364.0	2636.0	25.9	35.80	39.0	1.8255	1.9890	234.8265	4 / 12
P4	14.5o	59.5o	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	30.5o	90.0o	9003.2	5500.0	33.7	9000.0	9000.0	88.3	36.30	39.5	1.8172	2.0145	241.4050	6 / 12
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

234.8265

2.3946

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

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

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 6]				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	0o	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	9.0o	9.0o	37.75	37.8	25.78	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.88	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	38.96	39.0	27.29	29.95	26.69	40.0	0.7+0.27									8 / 12
P6	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	39.49	39.6	27.79	30.44	26.69	40.5	0.7+0.24									12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 1. T-3205(3)				Rev. No.	[AAA4]

Design Code : Div. 2, Di = 18000 mm, CA = 3.2 mm, SG = 0.649, Pg= 18.0 kg/cm²(=1765.197 kPa), Pe= 1.033227 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=2261.9 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
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	37.75	37.8	25.85	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	9.0o	9.0o	37.75	37.8	25.87	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.96	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	37.75	37.8	26.15	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	14.5o	59.5o	37.87	37.9	26.35	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	30.5o	90.0o	38.32	38.5	26.87	29.43	26.69	TD90USED	0.7+0.30	#4	61.0	40.0	2827.4	9681.9	20	8,111	162,216	6 / 12
	30.5o	120.5o	39.01	39.1	27.38	29.95	26.69	40.0	0.7+0.23									8 / 12
P6	14.5o	135.0o	39.23	39.3	27.58	30.15	26.69	40.5	0.7+0.50	#5	14.5	40.5	2436.2	9424.8	6	5,382	32,291	9 / 12
P7	18.0o	153.0o	39.43	39.5	27.77	30.33	26.69	40.5	0.7+0.29	#6	18.0	40.5	2827.4	9000.0	4	6,415	25,661	10 / 12
P8	18.0o	171.0o	39.54	39.6	27.86	30.43	26.69	40.5	0.7+0.18	#7	27.0	40.5	2827.4	8482.3	3	7,244	21,731	11 / 12
P9	9.0o	180.0o	39.56	39.6	27.88	30.44	26.69	40.5	0.7+0.17									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 (kg/cm²), HT_UPPCOL = 36900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=284.624, Nφ=18.877

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9003.2	mm	900.32	cm
4	L = Design Liquid level	L =	14500	mm	1450.0	cm
5	CA = Corrosion Allowance	CA =	3.2	mm	0.32	cm
6	Wt = Total Weight at Operating Condition	Wt =	20,041,966	N	2043711.8	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.625		0.625
10	γ = Liquid Density	γ =	6.129156E-6	N/mm³	625.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.20483	degree	0.42245	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.34583	degree	0.91361	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9960751		0.9960751
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0944815		1.0944815
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4100000		0.4100000
20	C5 = 22 / φ	C5 =	0.9089093		0.9089093
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4100000		0.4100000
22	Calculation Result :
23	PM = P×R/2	PM =	7946.224	N-mm	81.029	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	284.624	N-mm	2.902	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	18.877	N-mm	0.192	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8404.85	N/mm	8570.562	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7675.28	N/mm	7826.607	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	39.56	mm	3.956	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	38.3	mm	3.83	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	216.418	MPa	2206.849	Kg/cm²
31	Calculation Result :
32	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
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	355,069,974	N-mm	3620.706×103	Kg-cm
34	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
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	166,765,270	N-mm	1700.532×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	233.408	N/mm	238.01	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	541,311,148	N-mm	5519.838×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	284,749,259	N-mm	2903.634×103	Kg-cm
39	Za = IH / LA × t	Za =	93,925,995	mm³	93.926×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,345,188,157	mm³	4345.188×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8569E-5		1.8569E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.227031E-3		6.227031E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1873.604	mm	187.36	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	59.411	N/mm	60.582	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	47,613,755	N-mm	485.525×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	23,924,970	N-mm	243.967×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	801,429	mm³	8014.295	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	212,712,858	mm³	212.713×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	265.417	mm	26.542	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	526.095	mm	52.61	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	289.819	N/mm	295.533	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	201.185	N/mm	205.152	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,525,625	N	155570.5	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	40348.543	N	4114.4	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7382.624	mm	738.262	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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
	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 (kg/cm²), HT_UPPCOL = 37000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=661.949, Nφ=132.39

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Hydrostatic-test Water Level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	32,139,894	N	3277357.1	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.27465	degree	0.42367	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9959448		0.9959448
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0974476		1.0974476
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4111111		0.4111111
20	C5 = 22 / φ	C5 =	0.9062952		0.9062952
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4111111		0.4111111
22	Calculation Result :
23	PM = P×R/2	PM =	7943.4	N-mm	81.0	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	661.949	N-mm	6.75	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	132.39	N-mm	1.35	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8883.26	N/mm	9058.404	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7612.2	N/mm	7762.284	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	22.19	mm	2.219	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	21.15	mm	2.115	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.589	MPa	3697.379	Kg/cm²
31	Calculation Result :
32	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
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	567,379,312	N-mm	5785.659×103	Kg-cm
34	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
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	266,573,697	N-mm	2718.295×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	372.415	N/mm	379.758	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	867,867,174	N-mm	8849.782×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	456,414,316	N-mm	4654.131×103	Kg-cm
39	Za = IH / LA × t	Za =	65,250,509	mm³	65.251×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,376,861,061	mm³	4376.861×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8838E-5		1.8838E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.280747E-3		6.280747E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1878.179	mm	187.818	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	94.501	N/mm	96.364	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	76,331,568	N-mm	778.365×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	38,355,103	N-mm	391.113×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	807,732	mm³	8077.324	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	215,536,570	mm³	215.537×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	266.842	mm	26.684	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	528.891	mm	52.889	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	463.59	N/mm	472.73	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	322.105	N/mm	328.456	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,448,674	N	249695.2	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	65095.462	N	6637.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7400.0	mm	740.0	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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
	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 / 6]				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	0o	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	9.0o	9.0o	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	18.0o	27.0o	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	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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 / 6]				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	0o	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	9.0o	9.0o	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	18.0o	27.0o	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	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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 / 6]				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
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	18006.4	0	0	18000.0	0	0	35.80	39.0	1.8255	1.9890	234.8265	1 / 12
P1	9.0o	9.0o	17895.6	0	0	17889.2	110.8	1.1	35.80	39.0	1.8255	1.9890	234.8265	2 / 12
P2	18.0o	27.0o	17025.1	0	0	17019.1	980.9	9.6	35.80	39.0	1.8255	1.9890	234.8265	3 / 12
P3	18.0o	45.0o	15369.4	0	0	15364.0	2636.0	25.9	35.80	39.0	1.8255	1.9890	234.8265	4 / 12
P4	14.5o	59.5o	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	30.5o	90.0o	9003.2	5500.0	32.1	9000.0	9000.0	88.3	36.30	39.5	1.8188	2.0145	241.4050	6 / 12
	30.5o	120.5o	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	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	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.

1

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

234.8265

2.3946

CS-4

Pe < MAEP, OK

Pe < MAEP

OK

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

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 6]				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	0o	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	9.0o	9.0o	37.75	37.8	25.83	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.93	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	38.90	39.0	27.34	29.95	26.69	40.0	0.7+0.33									8 / 12
P6	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	39.41	39.5	27.84	30.44	26.69	40.5	0.7+0.32									12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 6]				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	0o	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	9.0o	9.0o	37.75	37.8	25.78	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.88	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	38.96	39.0	27.29	29.95	26.69	40.0	0.7+0.27									8 / 12
P6	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	39.49	39.6	27.79	30.44	26.69	40.5	0.7+0.24									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 [4 / ??? ]				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 (kg/cm²), HT_UPPCOL = 36900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=271.417, Nφ=18.001

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9003.2	mm	900.32	cm
4	L = Design Liquid level	L =	14500	mm	1450.0	cm
5	CA = Corrosion Allowance	CA =	3.2	mm	0.32	cm
6	Wt = Total Weight at Operating Condition	Wt =	19,259,269	N	1963898.9	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 230MPa	S =	230.0	MPa	2345.347	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.596		0.596
10	γ = Liquid Density	γ =	5.844763E-6	N/mm³	596.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.20483	degree	0.42245	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	52.34583	degree	0.91361	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9960751		0.9960751
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0944815		1.0944815
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4100000		0.4100000
20	C5 = 22 / φ	C5 =	0.9089093		0.9089093
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4100000		0.4100000
22	Calculation Result :
23	PM = P×R/2	PM =	7946.224	N-mm	81.029	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	271.417	N-mm	2.768	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	18.001	N-mm	0.184	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8384.84	N/mm	8550.157	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7685.73	N/mm	7837.263	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	39.48	mm	3.948	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	38.27	mm	3.827	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	216.22	MPa	2204.83	Kg/cm²
31	Calculation Result :
32	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
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	341,203,460	N-mm	3479.307×103	Kg-cm
34	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
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	160,252,601	N-mm	1634.122×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	224.293	N/mm	228.715	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	520,171,375	N-mm	5304.272×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	273,628,974	N-mm	2790.239×103	Kg-cm
39	Za = IH / LA × t	Za =	93,925,995	mm³	93.926×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,345,188,157	mm³	4345.188×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8569E-5		1.8569E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.227031E-3		6.227031E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1873.604	mm	187.36	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	57.091	N/mm	58.217	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	45,754,300	N-mm	466.564×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	22,990,631	N-mm	234.439×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	801,429	mm³	8014.295	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	212,712,858	mm³	212.713×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	265.417	mm	26.542	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	526.095	mm	52.61	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	278.501	N/mm	283.992	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	193.329	N/mm	197.141	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	1,466,045	N	149495.0	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	38772.815	N	3953.7	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7382.624	mm	738.262	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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
	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]

SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition
　　D=18000 (cm), Syt=394.25 MPa, MAWP=2.2065 (kg/cm²), HT_UPPCOL = 37000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=661.949, Nφ=132.39

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Hydrostatic-test Water Level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	32,139,894	N	3277357.1	Kg
7	S = Allowable Stress for the Design Condition SA537-CL2, Sd = 394.25MPa	S =	394.25	MPa	4020.231	Kg/cm²
8	P = Design internal GAS Pressure	P =	1.765	MPa	18.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.27465	degree	0.42367	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9959448		0.9959448
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0974476		1.0974476
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4111111		0.4111111
20	C5 = 22 / φ	C5 =	0.9062952		0.9062952
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4111111		0.4111111
22	Calculation Result :
23	PM = P×R/2	PM =	7943.4	N-mm	81.0	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	661.949	N-mm	6.75	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	132.39	N-mm	1.35	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	8883.26	N/mm	9058.404	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	7612.2	N/mm	7762.284	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	22.19	mm	2.219	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	21.15	mm	2.115	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	362.589	MPa	3697.379	Kg/cm²
31	Calculation Result :
32	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
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	567,379,312	N-mm	5785.659×103	Kg-cm
34	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
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	266,573,697	N-mm	2718.295×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	372.415	N/mm	379.758	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	867,867,174	N-mm	8849.782×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	456,414,316	N-mm	4654.131×103	Kg-cm
39	Za = IH / LA × t	Za =	65,250,509	mm³	65.251×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,376,861,061	mm³	4376.861×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.8838E-5		1.8838E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.280747E-3		6.280747E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1878.179	mm	187.818	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	94.501	N/mm	96.364	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	76,331,568	N-mm	778.365×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	38,355,103	N-mm	391.113×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	807,732	mm³	8077.324	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	215,536,570	mm³	215.537×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	266.842	mm	26.684	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	528.891	mm	52.889	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	463.59	N/mm	472.73	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	322.105	N/mm	328.456	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,448,674	N	249695.2	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	65095.462	N	6637.9	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7400.0	mm	740.0	cm

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 (kg/cm²), 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 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	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
	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 / 6]				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= 7.9 kg/cm2(=774.725 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1092.8 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	0o	25006.0	0	0	774.7	774.7	35.62	35.66	37.0	0.7+0.34	0.8065	0.8777			1.084	σeq = 144.568	1 / 13
P1	6.4o	6.4o	24928.1	0	0		774.7	35.62	35.66	37.0	0.7+0.34	0.8065	0.8777			1.084	σeq = 144.568	2 / 13
P2	12.8o	19.2o	24310.5	0	0		774.7	35.62	35.66	37.0	0.7+0.34	0.8065	0.8777			1.084	σeq = 144.568	3 / 13
P3	12.8o	32.0o	23106.1	896.9	5.3		780.0	35.84	35.88	37.0	0.7+0.34	0.8012	0.8777			1.084	σeq = 143.418	4 / 13
P4	9.5o	41.5o	21867.2	2135.8	12.6		787.3	36.15	36.19	37.0	0.7+0.11	0.7939	0.8777			1.084	σeq = 144.779	5 / 13
P5	45.5o	87.0o	13157.4	10845.6	63.8		838.5	38.45	38.35	39.5	0.7+0.35	0.8019	0.9370			1.084	σeq = 144.231	6 / 13
P6	3.0o	90.0o	12503.0	11500.0	67.7		842.4	38.65	38.52	42.0	0.7+0.15	0.7980	0.9370			1.084	σeq = 145.032	7 / 13
	48.5o	138.5o	3138.8	20864.2	122.8		897.5	40.79	40.84	42.0	0.7+0.46	0.8021	0.9962			1.084	σeq = 143.884	9 / 13
P7	9.5o	148.0o	1899.9	22103.1	130.1		904.8	41.09	41.15	42.0	0.7+0.15	0.7948	0.9962			1.084	σeq = 145.036	10 / 13
P8	12.8o	160.8o	695.5	23307.5	137.1		911.8	41.39	41.45	42.5	0.7+0.35	0.7996	1.0080			1.084	σeq = 144.314	11 / 13
P9	12.8o	173.6o	77.9	23925.1	140.8		915.5	41.54	41.60	42.5	0.7+0.20	0.7959	1.0080			1.084	σeq = 144.888	12 / 13
P10	6.4o	180.0o	0	24003.0	141.2		915.9	41.56	41.62	42.5	0.7+0.18	0.7955	1.0080	0.7939	0.8777	1.084	σeq = 144.961	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 =	0.7747	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.7939	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.8777	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 6]				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= 7.9 kg/cm2(=774.725 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1075.7 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	0o	25000.0	0	0	1075.7	1075.7	28.81	29.52	32.64	37.0	0.8065	0.8777	σeq = 215.195	1 / 13
P1	6.4o	6.4o	24922.1	77.9	0.8		1076.5	28.83	29.54	32.67	37.0	0.8065	0.8777	σeq = 215.407	2 / 13
P2	12.8o	19.2o	24304.7	695.3	6.8		1082.5	28.99	29.71	32.83	37.0	0.8065	0.8777	σeq = 217.095	3 / 13
P3	12.8o	32.0o	23100.6	1899.4	18.6		1094.3	29.32	30.03	33.16	37.0	0.8012	0.8777	σeq = 215.625	4 / 13
P4	9.5o	41.5o	21861.9	3138.1	30.8		1106.5	29.65	30.37	33.49	37.0	0.7939	0.8777	σeq = 219.01	5 / 13
P5	45.5o	87.0o	13154.2	11845.8	116.2		1191.9	32.00	32.72	35.84	39.5	0.8019	0.9370	σeq = 220.691	6 / 13
P6	3.0o	90.0o	12500.0	12500.0	122.6		1198.3	32.18	32.89	36.01	42.0	0.7980	0.9370	σeq = 217.789	7 / 13
	48.5o	138.5o	3138.1	21861.9	214.4		1290.1	34.70	35.41	38.54	42.0	0.8021	0.9962	σeq = 220.868	9 / 13
P7	9.5o	148.0o	1899.4	23100.6	226.5		1302.2	35.03	35.75	38.87	42.0	0.7948	0.9962	σeq = 219.6	10 / 13
P8	12.8o	160.8o	695.3	24304.7	238.3		1314.0	35.36	36.07	39.20	42.5	0.7996	1.0080	σeq = 218.333	11 / 13
P9	12.8o	173.6o	77.9	24922.1	244.4		1320.1	35.52	36.24	39.36	42.5	0.7959	1.0080	σeq = 219.634	12 / 13
P10	6.4o	180.0o	0	25000.0	245.2		1320.9	35.55	36.26	39.38	42.5	0.7955	1.0080	σeq = 219.799	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 =

0.7747

at Site

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

Pset(MAWP) =

1.0498

10.7045

CASE 2

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

MAWP =

0.7939

at Site

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

Pset(MAWP) =

1.0757

10.9691

CASE 3

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

MAP =

0.8777

at Shop

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

Pset(MAP) =

1.1893

12.1275

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 6]				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= 7.9 kg/cm2(=774.725 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1075.7 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
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	25006.0	0	0	25000.0	0	0	34.00	37.0	0.8065	0.8777	109.6010	1 / 13
P1	6.4o	6.4o	24928.1	0	0	24922.1	77.9	0.8	34.00	37.0	0.8065	0.8777	109.6010	2 / 13
P2	12.8o	19.2o	24310.5	0	0	24304.7	695.3	6.8	34.00	37.0	0.8065	0.8777	109.6010	3 / 13
P3	12.8o	32.0o	23106.1	896.9	5.3	23100.6	1899.4	18.6	34.00	37.0	0.8012	0.8777	109.6010	4 / 13
P4	9.5o	41.5o	21867.2	2135.8	12.6	21861.9	3138.1	30.8	34.00	37.0	0.7939	0.8777	109.6010	5 / 13
P5	45.5o	87.0o	13157.4	10845.6	63.8	13154.2	11845.8	116.2	36.50	39.5	0.8019	0.9370	126.2610	6 / 13
P6	3.0o	90.0o	12503.0	11500.0	67.7	12500.0	12500.0	122.6	36.50	39.5	0.7980	0.9370	126.2610	7 / 13
	48.5o	138.5o	3138.8	20864.2	122.8	3138.1	21861.9	214.4	39.00	42.0	0.8021	0.9962	144.0919	9 / 13
P7	9.5o	148.0o	1899.9	22103.1	130.1	1899.4	23100.6	226.5	39.00	42.0	0.7948	0.9962	144.0919	10 / 13
P8	12.8o	160.8o	695.5	23307.5	137.1	695.3	24304.7	238.3	39.50	42.5	0.7996	1.0080	147.7984	11 / 13
P9	12.8o	173.6o	77.9	23925.1	140.8	77.9	24922.1	244.4	39.50	42.5	0.7959	1.0080	147.7984	12 / 13
P10	6.4o	180.0o	0	24003.0	141.2	0	25000.0	245.2	39.50	42.5	0.7955	1.0080	147.7984	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 =

0.7747

at Site

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

Pset(MAWP) =

1.0498

10.7045

CASE 2

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

MAWP =

0.7939

at Site

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

Pset(MAWP) =

1.0757

10.9691

CASE 3

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

MAP =

0.8777

at Shop

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

Pset(MAP) =

1.1893

12.1275

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

102.9698

SA516-65

Maximum. Allowable External Pressure

MAEP =

109.601

1.1176

CS-2

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=109.601 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 6]				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= 7.9 kg/cm2(=774.725 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1075.7 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	0o	35.62	35.7	29.52	32.64	35.96	37.0	0.7+0.34	#1	19.2	37.0	2792.5	8377.6	3	6,455	19,366	1 / 13
P1	6.4o	6.4o	35.62	35.7	29.54	32.67	35.96	37.0	0.7+0.34									2 / 13
P2	12.8o	19.2o	35.62	35.7	29.71	32.83	35.96	37.0	0.7+0.34									3 / 13
P3	12.8o	32.0o	35.84	35.9	30.03	33.16	35.96	37.0	0.7+0.34	#2	12.8	37.0	2792.5	9567.7	4	5,991	23,963	4 / 13
P4	9.5o	41.5o	36.15	36.2	30.37	33.49	35.96	37.0	0.7+0.11	#3	9.5	37.0	1858.6	8726.6	9	3,140	28,256	5 / 13
P5	45.5o	87.0o	38.45	38.4	32.72	35.84	35.96	39.5	0.7+0.35	#4	45.5	39.5	2801.1	9970.0	28	7,574	212,062	6 / 13
P6	3.0o	90.0o	38.65	38.5	32.89	36.01	35.96	42.0	0.7+0.15	#5	51.5	42.0	2805.0	11335.6	28	9,263	259,364	7 / 13
	48.5o	138.5o	40.79	40.8	35.41	38.54	35.96	42.0	0.7+0.46									9 / 13
P7	9.5o	148.0o	41.09	41.2	35.75	38.87	35.96	42.0	0.7+0.15	#6	9.5	42.0	1858.6	8726.6	9	3,564	32,074	10 / 13
P8	12.8o	160.8o	41.39	41.4	36.07	39.20	35.96	42.5	0.7+0.35	#7	12.8	42.5	2792.5	9367.7	4	6,881	27,525	11 / 13
P9	12.8o	173.6o	41.54	41.6	36.24	39.36	35.96	42.5	0.7+0.20	#8	19.2	42.5	2792.5	8377.6	3	7,415	22,244	12 / 13
P10	6.4o	180.0o	41.56	41.6	36.26	39.38	35.96	42.5	0.7+0.18									13 / 13

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [4 / 6]				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	0o	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	9.0o	9.0o	37.75	37.8	25.83	28.44	26.69	39.0	0.7+0.48									2 / 12
P2	18.0o	27.0o	37.75	37.8	25.93	28.53	26.69	39.0	0.7+0.48									3 / 12
P3	18.0o	45.0o	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	14.5o	59.5o	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	30.5o	90.0o	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
	30.5o	120.5o	38.90	39.0	27.34	29.95	26.69	40.0	0.7+0.33									8 / 12
P6	14.5o	135.0o	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	18.0o	153.0o	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	18.0o	171.0o	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	9.0o	180.0o	39.41	39.5	27.84	30.44	26.69	40.5	0.7+0.32									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=0.7747 (kg/cm²), HT_UPPCOL = 47600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=726.738, Nφ=119.289

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	25000	mm	2500.0	cm
3	R = Inside Radius in Corroded Condition	R =	12503	mm	1250.3	cm
4	L = Design Liquid level	L =	24000	mm	2400.0	cm
5	CA = Corrosion Allowance	CA =	3.0	mm	0.3	cm
6	Wt = Total Weight at Operating Condition	Wt =	54,337,431	N	5540875.9	Kg
7	S = Allowable Stress for the Design Condition SA516-65, Sd = 148.486MPa	S =	148.486	MPa	1514.136	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.775	MPa	7.9	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.6		0.6
10	γ = Liquid Density	γ =	5.88399E-6	N/mm³	600.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1066.8	mm	106.68	cm
12	N = Number of Support Column	N =	14.0	columns	14	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	22.38325	degree	0.39066	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	23.10617	degree	0.40328	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9993443		0.9993443
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0165331		1.0165331
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.3808000		0.3808000
20	C5 = 22 / φ	C5 =	0.9828780		0.9828780
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.3808000		0.3808000
22	Calculation Result :
23	PM = P×R/2	PM =	4843.037	N-mm	49.385	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	726.738	N-mm	7.411	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	119.289	N-mm	1.216	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	5782.02	N/mm	5896.02	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	4525.29	N/mm	4614.512	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	41.62	mm	4.162	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	38.65	mm	3.865	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	134.017	MPa	1366.593	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,787,577,801	N-mm	18228.221×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	701,864,163	N-mm	7157.023×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	896,045,194	N-mm	9137.118×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	337,989,632	N-mm	3446.535×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	278.942	N/mm	284.442	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	1,072,937,560	N-mm	10940.918×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	551,880,023	N-mm	5627.61×103	Kg-cm
39	Za = IH / LA × t	Za =	163,474,326	mm³	163.474×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	9,275,020,388	mm³	9275.02×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.2569E-5		1.2569E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	4.930664E-3		4.930664E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2411.317	mm	241.132	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	66.696	N/mm	68.011	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	81,716,185	N-mm	833.273×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	40,961,235	N-mm	417.688×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,225,202	mm³	12252.017	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	386,684,518	mm³	386.685×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	315.609	mm	31.561	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	626.399	mm	62.64	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	437.038	N/mm	445.655	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	304.603	N/mm	310.609	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,983,908	N	304273.9	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	83391.101	N	8503.5	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	9522.285	mm	952.228	cm

piDeg=[22.38324530106262] piRad=[0.39066132778509216] 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=0.7747 (kg/cm²), HT_UPPCOL = 47600.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	25006.0	0	0	0.7747	4843.04							4843.04	4843.04	144.57	< OK	148.486	35.62	35.66	36.5	0.04	2.64	0	0	0	0
P1	6.4	24928.1	0	0	0.7747	4843.04							4843.04	4843.04	144.57	< OK	148.486	35.62	35.66	36.5	0.04	2.64	0	0	0	0
P2	19.2	24310.5	0	0	0.7747	4843.04							4843.04	4843.04	144.57	< OK	148.486	35.62	35.66	36.5	0.04	2.64	0	0	0	0
P3	32	23106.1	896.9	0.0053	0.78	4843.04	58.63	7.35					4901.67	4850.38	143.42	< OK	148.486	35.84	35.88	37.0	0.04	3.41	0.382	0.048	0.064	0.008
P4	41.5	21867.2	2135.8	0.0126	0.7873	4843.04	132.49	24.63					4975.53	4867.67	144.78	< OK	148.486	36.15	36.19	37.0	0.04	2.50	0.864	0.161	0.144	0.027
P5	87	13157.4	10845.6	0.0638	0.8385	4843.04	679.39	118.50					5522.43	4961.54	144.23	< OK	148.486	38.45	38.35	39.5	-0.10	2.87	4.432	0.773	0.739	0.129
P6	90	12503.0	11500.0	0.0677	0.8424	4843.04	726.74	119.29	278.94	66.70	437.04	304.60	5782.02	4525.29	145.03	< OK	148.486	38.65	38.52	39.5	-0.13	2.33	4.741	0.778	0.79	0.13	Column Attached Equator Plate
	138.5	3138.8	20864.2	0.1228	0.8975	4843.04	706.97	827.95					5550.01	5670.99	143.88	< OK	148.486	40.79	40.84	42.0	0.05	3.10	4.612	5.401	0.769	0.9
P7	148	1899.9	22103.1	0.1301	0.9048	4843.04	777.14	848.94					5620.17	5691.97	145.04	< OK	148.486	41.09	41.15	42.0	0.06	2.32	5.069	5.538	0.845	0.923
P8	160.8	695.5	23307.5	0.1371	0.9118	4843.04	844.43	870.25					5687.46	5713.29	144.31	< OK	148.486	41.39	41.45	42.5	0.06	2.81	5.508	5.677	0.918	0.946
P9	173.6	77.9	23925.1	0.1408	0.9155	4843.04	878.62	881.49					5721.66	5724.53	144.89	< OK	148.486	41.54	41.60	42.5	0.06	2.42	5.731	5.75	0.955	0.958
P10	180	0	24003.0	0.1412	0.9159	4843.04	882.92	882.92					5725.96	5725.96	144.96	< OK	148.486	41.56	41.62	42.5	0.06	2.37	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=0.968375 (kg/cm²), HT_UPPCOL = 47700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=1276.908, Nφ=255.382

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	25000	mm	2500.0	cm
3	R = Inside Radius in Corroded Condition	R =	12500	mm	1250.0	cm
4	L = Hydrostatic-test Water Level	L =	25000	mm	2500.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	85,445,291	N	8712994.9	Kg
7	S = Allowable Stress for the Design Condition SA516-65, Sd = 228MPa	S =	228.0	MPa	2324.953	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.775	MPa	7.9	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	1066.8	mm	106.68	cm
12	N = Number of Support Column	N =	14.0	columns	14	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	22.43283	degree	0.39153	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9992587		0.9992587
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.0186687		1.0186687
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.3816000		0.3816000
20	C5 = 22 / φ	C5 =	0.9807057		0.9807057
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.3816000		0.3816000
22	Calculation Result :
23	PM = P×R/2	PM =	4841.875	N-mm	49.373	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	1276.908	N-mm	13.021	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	255.382	N-mm	2.604	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	6451.57	N/mm	6578.771	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	4411.37	N/mm	4498.346	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	27.99	mm	2.799	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	25.31	mm	2.531	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	199.014	MPa	2029.378	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	2,810,281,134	N-mm	28656.892×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	1,100,312,241	N-mm	11220.062×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	1,408,687,724	N-mm	14364.617×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	529,954,378	N-mm	5404.031×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	437.012	N/mm	445.628	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	1,687,344,186	N-mm	17206.122×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	867,795,503	N-mm	8849.051×103	Kg-cm
39	Za = IH / LA × t	Za =	133,207,581	mm³	133.208×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	9,328,165,518	mm³	9328.166×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.2709E-5		1.2709E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	4.963334E-3		4.963334E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	2415.941	mm	241.594	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	104.221	N/mm	106.276	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	128,472,565	N-mm	1310.056×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	64,398,442	N-mm	656.681×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	1,232,692	mm³	12326.92	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	390,666,980	mm³	390.667×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	316.922	mm	31.692	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	628.984	mm	62.898	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	685.885	N/mm	699.408	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	478.35	N/mm	487.781	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	4,695,200	N	478777.2	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	131,738	N	13433.5	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	9540.0	mm	954.0	cm

piDeg=[22.432825607027144] piRad=[0.39152666736831926] 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=0.968375 (kg/cm²), HT_UPPCOL = 47700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	25000.0	0	0	0.7747	4841.88							4841.88	4841.88	215.20	< OK	228	21.24	21.25	22.5	0.01	5.62	0	0	0	0
P1	6.4	24922.1	77.9	0.0008	0.7755	4841.88	7.16	2.38					4849.04	4844.26	215.41	< OK	228	21.26	21.28	22.5	0.02	5.52	0.028	0.009	0.005	0.002
P2	19.2	24304.7	695.3	0.0068	0.7815	4841.88	64.13	21.10					4906.00	4862.98	217.10	< OK	228	21.42	21.44	22.5	0.02	4.78	0.251	0.083	0.042	0.014
P3	32	23100.6	1899.4	0.0186	0.7933	4841.88	176.22	56.61					5018.10	4898.49	215.62	< OK	228	21.75	21.77	23.0	0.02	5.43	0.69	0.222	0.115	0.037
P4	41.5	21861.9	3138.1	0.0308	0.8055	4841.88	293.11	91.57					5134.98	4933.44	219.01	< OK	228	22.09	22.10	23.0	0.01	3.94	1.148	0.359	0.191	0.06
P5	87	13154.2	11845.8	0.1162	0.8909	4841.88	1198.04	254.05					6039.92	5095.93	220.69	< OK	228	24.68	24.44	25.5	-0.24	3.21	4.691	0.995	0.782	0.166
P6	90	12500.0	12500.0	0.1226	0.8973	4841.88	1276.91	255.38	437.01	104.22	685.89	478.35	6451.57	4411.37	217.79	< OK	228	25.31	24.62	26.5	-0.69	4.48	5	1	0.833	0.167	Column Attached Equator Plate
	138.5	3138.1	21861.9	0.2144	0.9891	4841.88	1239.18	1440.72					6081.06	6282.60	220.87	< OK	228	27.12	27.14	28.0	0.02	3.13	4.852	5.641	0.809	0.94
P7	148	1899.4	23100.6	0.2265	1.0012	4841.88	1356.07	1475.68					6197.94	6317.55	219.60	< OK	228	27.45	27.48	28.5	0.03	3.68	5.31	5.778	0.885	0.963
P8	160.8	695.3	24304.7	0.2383	1.013	4841.88	1468.16	1511.18					6310.04	6353.06	218.33	< OK	228	27.77	27.80	29.0	0.03	4.24	5.749	5.917	0.958	0.986
P9	173.6	77.9	24922.1	0.2444	1.0191	4841.88	1525.12	1529.90					6367.00	6371.78	219.63	< OK	228	27.94	27.97	29.0	0.03	3.67	5.972	5.991	0.995	0.998
P10	180	0	25000.0	0.2452	1.0199	4841.88	1532.29	1532.29					6374.16	6374.16	219.80	< OK	228	27.96	27.99	29.0	0.03	3.60	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])= 624854.893
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 =	4770	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	10730	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	24500	mm
8. gCol[tid][8] =	Brace Angle	BRang =	26.9345	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	11.4783	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	t37 ~ 42.5	SHT	88	624.855	762.323	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t42.5, t17×3651×4770	SHT	14	38.029	41.832	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1066.8×15.09t × 10730L	PCS	14	58.790	58.790	000,000	000,000	3
4	BRACE ( PIPE, θ= 26.9345 deg.)	null	Ø0×0t × 12036L	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	721.674	862.945	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. LH 2				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 18000 mm, CA = 0 mm, SG = 0.071, Pg= 5 kg/cm2(=490.333 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1457.2 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-3], DTEMP = 87 ℃, Sd = 178.2 MPa, St = 526.5 MPa, Samb = 187 MPa, LSR = Samb/Sd = 1.049, Ft = 690 MPa, Fy = 585 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0o	18000.0	0	0	490.3	490.3	12.38	12.38	27.0	0.7+0.39	1.0686	1.0686			1.049	σeq = 0	1 / 12
P1	9.0o	9.0o	17889.2	110.8	0.1		490.4	12.38	12.39	27.0	0.7+0.39	1.0685	1.0686			1.049	σeq = 0	2 / 12
P2	18.0o	27.0o	17019.1	980.9	0.7		491.0	12.40	12.40	27.0	0.7+0.39	1.0679	1.0686			1.049	σeq = 0	3 / 12
P3	18.0o	45.0o	15364.0	2636.0	1.8		492.1	12.43	12.43	27.0	0.7+0.39	1.0668	1.0686			1.049	σeq = 0	4 / 12
P4	14.5o	59.5o	13567.8	4432.2	3.1		493.4	12.46	12.46	27.0	0.7+0.39	1.0655	1.0686			1.049	σeq = 0	5 / 12
P5	30.5o	90.0o	9000.0	9000.0	6.3		496.6	12.50	12.54	27.0	0.7+0.39	1.0623	1.0686			1.049	σeq = 0	6 / 12
	30.5o	120.5o	4432.2	13567.8	9.4		499.7	12.62	12.62	27.0	0.7+0.39	1.0592	1.0686			1.049	σeq = 0	8 / 12
P6	14.5o	135.0o	2636.0	15364.0	10.7		501.0	12.65	12.66	27.0	0.7+0.39	1.0579	1.0686			1.049	σeq = 0	9 / 12
P7	18.0o	153.0o	980.9	17019.1	11.8		502.1	12.68	12.68	27.0	0.7+0.39	1.0568	1.0686			1.049	σeq = 0	10 / 12
P8	18.0o	171.0o	110.8	17889.2	12.5		502.8	12.70	12.70	27.0	0.7+0.39	1.0561	1.0686			1.049	σeq = 0	11 / 12
P9	9.0o	180.0o	0	18000.0	12.5		502.8	12.70	12.70	27.0	0.7+0.39	1.0561	1.0686	1.0561	1.0686	1.049	σeq = 0	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 =	0.4903	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.0561	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.0686	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. LH 2				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 18000 mm, CA = 0 mm, SG = 0.071, Pg= 5 kg/cm2(=490.333 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1440.2 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-3], DTEMP = 87 ℃, Sd = 178.2 MPa, St = 526.5 MPa, Samb = 187 MPa, LSR = Samb/Sd = 1.049, Ft = 690 MPa, Fy = 585 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0o	18000.0	0	0	1440.2	1440.2	5.72	12.31	12.46	27.0	1.0686	1.0686	σeq = 441.27	1 / 12
P1	9.0o	9.0o	17889.2	110.8	1.1		1441.3	5.72	12.32	12.47	27.0	1.0685	1.0686	σeq = 442.249	2 / 12
P2	18.0o	27.0o	17019.1	980.9	9.6		1449.8	5.80	12.39	12.54	27.0	1.0679	1.0686	σeq = 409.084	3 / 12
P3	18.0o	45.0o	15364.0	2636.0	25.9		1466.1	5.94	12.53	12.68	27.0	1.0668	1.0686	σeq = 422.749	4 / 12
P4	14.5o	59.5o	13567.8	4432.2	43.5		1483.7	6.09	12.68	12.83	27.0	1.0655	1.0686	σeq = 438.05	5 / 12
P5	30.5o	90.0o	9000.0	9000.0	88.3		1528.5	6.47	13.07	13.21	27.0	1.0623	1.0686	σeq = 428.057	6 / 12
	30.5o	120.5o	4432.2	13567.8	133.1		1573.3	6.85	13.45	13.59	27.0	1.0592	1.0686	σeq = 432.519	8 / 12
P6	14.5o	135.0o	2636.0	15364.0	150.7		1590.9	7.00	13.60	13.74	27.0	1.0579	1.0686	σeq = 444.05	9 / 12
P7	18.0o	153.0o	980.9	17019.1	166.9		1607.1	7.14	13.74	13.88	27.0	1.0568	1.0686	σeq = 455.023	10 / 12
P8	18.0o	171.0o	110.8	17889.2	175.4		1615.6	7.21	13.81	13.96	27.0	1.0561	1.0686	σeq = 460.893	11 / 12
P9	9.0o	180.0o	0	18000.0	176.5		1616.7	7.22	13.82	13.96	27.0	1.0561	1.0686	σeq = 461.645	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 =

0.4903

at Site

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

Pset(MAWP) =

0.6687

6.8185

CASE 2

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

MAWP =

1.0561

at Site

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

Pset(MAWP) =

1.4402

14.6860

CASE 3

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

MAP =

1.0686

at Shop

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

Pset(MAP) =

1.4572

14.8593

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. LH 2				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 18000 mm, CA = 0 mm, SG = 0.071, Pg= 5 kg/cm2(=490.333 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1440.2 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-3], DTEMP = 87 ℃, Sd = 178.2 MPa, St = 526.5 MPa, Samb = 187 MPa, LSR = Samb/Sd = 1.049, Ft = 690 MPa, Fy = 585 MPa
3. MAWP/MAP Calculation

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0o	18000.0	0	0	18000.0	0	0	27.00	27.0	1.0686	1.0686	111.8280	1 / 12
P1	9.0o	9.0o	17889.2	110.8	0.1	17889.2	110.8	1.1	27.00	27.0	1.0685	1.0686	111.8280	2 / 12
P2	18.0o	27.0o	17019.1	980.9	0.7	17019.1	980.9	9.6	27.00	27.0	1.0679	1.0686	111.8280	3 / 12
P3	18.0o	45.0o	15364.0	2636.0	1.8	15364.0	2636.0	25.9	27.00	27.0	1.0668	1.0686	111.8280	4 / 12
P4	14.5o	59.5o	13567.8	4432.2	3.1	13567.8	4432.2	43.5	27.00	27.0	1.0655	1.0686	111.8280	5 / 12
P5	30.5o	90.0o	9000.0	9000.0	6.3	9000.0	9000.0	88.3	27.00	27.0	1.0623	1.0686	111.8280	6 / 12
	30.5o	120.5o	4432.2	13567.8	9.4	4432.2	13567.8	133.1	27.00	27.0	1.0592	1.0686	111.8280	8 / 12
P6	14.5o	135.0o	2636.0	15364.0	10.7	2636.0	15364.0	150.7	27.00	27.0	1.0579	1.0686	111.8280	9 / 12
P7	18.0o	153.0o	980.9	17019.1	11.8	980.9	17019.1	166.9	27.00	27.0	1.0568	1.0686	111.8280	10 / 12
P8	18.0o	171.0o	110.8	17889.2	12.5	110.8	17889.2	175.4	27.00	27.0	1.0561	1.0686	111.8280	11 / 12
P9	9.0o	180.0o	0	18000.0	12.5	0	18000.0	176.5	27.00	27.0	1.0561	1.0686	111.8280	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 =

0.4903

at Site

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

Pset(MAWP) =

0.6687

6.8185

CASE 2

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

MAWP =

1.0561

at Site

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

Pset(MAWP) =

1.4402

14.6860

CASE 3

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

MAP =

1.0686

at Shop

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

Pset(MAP) =

1.4572

14.8593

No.

MAEP and performance in vacuum

symbol

Value kPa

Value kg/cm2

Material Chart No.

1

Design External Pressure

Pe =

102.9698

SA553-TYPE1

Maximum. Allowable External Pressure

MAEP =

111.828

1.1403

CS-3

Pe < MAEP, OK

Pe < MAEP

OK

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition. Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=111.828 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 = 585.0  MPa - Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy Syt = 526.5  MPa - Allowable stress at Test temperature (-12℃~30℃) [Table 1A] Samb = 187.0  MPa - Allowable stress at Design temperature (60.0 ℃) [Table 1A] S = 178.2  MPa - Lowest Stress Ratio, LSR = Samb / Sd LSR = 1.049   o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-3 [see Bellow Curve] Initial thickness for Design External Pressure (after corroded) tc = 27.0  mm Outside Radius of tank top head Ro = 9027.0  mm Factor A = 0.125 / [Ro / tc] Factor A = 0.0003739 Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-3) Factor B = 37.38784  MPa Design External Pressure, 　Pe = 1.05 (kg/cm²) Pe = 102.9698  kPa Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000 MAEP = 111.8280  kPa Check : Pe < MAEP O.K

S-Tank Engineering	AAA Spherical Tank Calculation [6 / 6]				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : 5. LH 2				Rev. No.	[AAA4]

Design Code : Div. 1, Di = 18000 mm, CA = 0 mm, SG = 0.071, Pg= 5 kg/cm2(=490.333 kPa), Pe= 1.05 kg/cm2(=102.97 kPa), 수압테스트압력 GsetMAWP=1440.2 kPa
Material : SA553-TYPE1, EXTERNAL CHART NO. [CS-3], DTEMP = 87 ℃, Sd = 178.2 MPa, St = 526.5 MPa, Samb = 187 MPa, LSR = Samb/Sd = 1.049, Ft = 690 MPa, Fy = 585 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0o	12.38	12.4	12.31	12.46	25.91	27.0	0.7+0.39	#1	27.0	27.0	2827.4	8482.3	3	4,829	14,487	1 / 12
P1	9.0o	9.0o	12.38	12.4	12.32	12.47	25.91	27.0	0.7+0.39									2 / 12
P2	18.0o	27.0o	12.40	12.4	12.39	12.54	25.91	27.0	0.7+0.39									3 / 12
P3	18.0o	45.0o	12.43	12.4	12.53	12.68	25.91	27.0	0.7+0.39	#2	18.0	27.0	2827.4	9200.0	4	4,277	17,107	4 / 12
P4	14.5o	59.5o	12.46	12.5	12.68	12.83	25.91	27.0	0.7+0.39	#3	14.5	27.0	2436.2	9424.8	6	3,588	21,527	5 / 12
P5	30.5o	90.0o	12.50	12.5	13.07	13.21	25.91	27.0	0.7+0.39	#4	61.0	27.0	2827.4	9681.9	20	5,475	109,496	6 / 12
	30.5o	120.5o	12.62	12.6	13.45	13.59	25.91	27.0	0.7+0.39									8 / 12
P6	14.5o	135.0o	12.65	12.7	13.60	13.74	25.91	27.0	0.7+0.39	#5	14.5	27.0	2436.2	9424.8	6	3,588	21,527	9 / 12
P7	18.0o	153.0o	12.68	12.7	13.74	13.88	25.91	27.0	0.7+0.39	#6	18.0	27.0	2827.4	9000.0	4	4,277	17,107	10 / 12
P8	18.0o	171.0o	12.70	12.7	13.81	13.96	25.91	27.0	0.7+0.39	#7	27.0	27.0	2827.4	8482.3	3	4,829	14,487	11 / 12
P9	9.0o	180.0o	12.70	12.7	13.82	13.96	25.91	27.0	0.7+0.39									12 / 12

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [5 / 6]				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= 7.9 kg/cm²(=774.725 kPa), Pe= 1.05 kg/cm²(=102.97 kPa), 수압테스트압력 GsetMAWP=1075.7 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	0o	35.62	35.7	29.52	32.64	35.96	37.0	0.7+0.34	#1	19.2	37.0	2792.5	8377.6	3	6,455	19,366	1 / 13
P1	6.4o	6.4o	35.62	35.7	29.54	32.67	35.96	37.0	0.7+0.34									2 / 13
P2	12.8o	19.2o	35.62	35.7	29.71	32.83	35.96	37.0	0.7+0.34									3 / 13
P3	12.8o	32.0o	35.84	35.9	30.03	33.16	35.96	37.0	0.7+0.34	#2	12.8	37.0	2792.5	9567.7	4	5,991	23,963	4 / 13
P4	9.5o	41.5o	36.15	36.2	30.37	33.49	35.96	37.0	0.7+0.11	#3	9.5	37.0	1858.6	8726.6	9	3,140	28,256	5 / 13
P5	45.5o	87.0o	38.45	38.4	32.72	35.84	35.96	39.5	0.7+0.35	#4	45.5	39.5	2801.1	9970.0	28	7,574	212,062	6 / 13
P6	3.0o	90.0o	38.65	38.5	32.89	36.01	35.96	TD90USED	0.7+0.15	#5	51.5	42.0	2805.0	11335.6	28	9,263	259,364	7 / 13
	48.5o	138.5o	40.79	40.8	35.41	38.54	35.96	42.0	0.7+0.46									9 / 13
P7	9.5o	148.0o	41.09	41.2	35.75	38.87	35.96	42.0	0.7+0.15	#6	9.5	42.0	1858.6	8726.6	9	3,564	32,074	10 / 13
P8	12.8o	160.8o	41.39	41.4	36.07	39.20	35.96	42.5	0.7+0.35	#7	12.8	42.5	2792.5	9367.7	4	6,881	27,525	11 / 13
P9	12.8o	173.6o	41.54	41.6	36.24	39.36	35.96	42.5	0.7+0.20	#8	19.2	42.5	2792.5	8377.6	3	7,415	22,244	12 / 13
P10	6.4o	180.0o	41.56	41.6	36.26	39.38	35.96	42.5	0.7+0.18									13 / 13

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 25.91 mm; Pe :102.97 kPa ≤ Pa = 103.01 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003588; Factor_B = 35.883 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=18000 (cm), Sd=178.2 MPa, Pg=0.4903 (kg/cm²), HT_UPPCOL = 37200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=46.998, Nφ=9.4

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Design Liquid level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	3,183,990	N	324676.6	Kg
7	S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = 178.2MPa	S =	178.2	MPa	1817.134	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.49	MPa	5.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	0.071		0.071
10	γ = Liquid Density	γ =	6.962722E-7	N/mm³	71.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.4144	degree	0.42611	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9956828		0.9956828
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1033798		1.1033798
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4133333		0.4133333
20	C5 = 22 / φ	C5 =	0.9011075		0.9011075
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4133333		0.4133333
22	Calculation Result :
23	PM = P×R/2	PM =	2206.35	N-mm	22.499	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	46.998	N-mm	0.479	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	9.4	N-mm	0.096	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	2280.65	N/mm	2325.616	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	2170.09	N/mm	2212.876	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	12.7	mm	1.27	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	12.5	mm	1.25	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	165.045	MPa	1682.991	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	148,263,576	N-mm	1511.868×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	55,849,974	N-mm	569.511×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	74,499,515	N-mm	759.684×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	26,258,359	N-mm	267.761×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	36.499	N/mm	37.219	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	85,999,766	N-mm	876.954×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	45,204,946	N-mm	460.962×103	Kg-cm
39	Za = IH / LA × t	Za =	31,808,922	mm³	31.809×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,450,101,419	mm³	4450.101×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.9385E-5		1.9385E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.389186E-3		6.389186E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1888.664	mm	188.866	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	9.198	N/mm	9.379	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	7,557,276	N-mm	77062.766	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	3,797,382	N-mm	38722.516	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	821,605	mm³	8216.048	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	221,746,899	mm³	221.747×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	269.895	mm	26.99	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	534.887	mm	53.489	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	45.663	N/mm	46.563	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	31.792	N/mm	32.419	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	243,055	N	24784.8	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	6522.121	N	665.1	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7440.0	mm	744.0	cm

piDeg=[24.414402314929568] piRad=[0.4261117053020465] 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=178.2 MPa, Pg=0.4903 (kg/cm²), HT_UPPCOL = 37200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	18000.0	0	0	0.4903	2206.35							2206.35	2206.35	163.43	< OK	178.2	12.38	12.38	13.5		8.29	0	0	0	0
P1	9	17889.2	110.8	0.0001	0.4904	2206.35	0.52	0.17					2206.87	2206.52	163.46	< OK	178.2	12.38	12.39	13.5	0.01	8.27	0.055	0.018	0.009	0.003
P2	27	17019.1	980.9	0.0007	0.491	2206.35	4.64	1.51					2210.99	2207.86	163.66	< OK	178.2	12.40	12.40	13.5		8.16	0.494	0.16	0.082	0.027
P3	45	15364.0	2636.0	0.0018	0.4921	2206.35	12.63	3.89					2218.98	2210.24	164.05	< OK	178.2	12.43	12.43	13.5		7.94	1.343	0.414	0.224	0.069
P4	59.5	13567.8	4432.2	0.0031	0.4934	2206.35	21.59	6.19					2227.94	2212.54	164.46	< OK	178.2	12.46	12.46	13.5		7.71	2.297	0.658	0.383	0.11
P5	90	9000.0	9000.0	0.0063	0.4966	2206.35	47.00	9.40	36.50	9.20	45.66	31.79	2280.65	2170.09	165.04	< OK	178.2	12.50	12.54	13.5	0.04	7.38	5	1	0.833	0.167	Column Attached Equator Plate
	120.5	4432.2	13567.8	0.0094	0.4997	2206.35	34.81	50.21					2241.16	2256.56	166.58	< OK	178.2	12.62	12.62	13.5		6.52	3.703	5.342	0.617	0.89
P6	135	2636.0	15364.0	0.0107	0.501	2206.35	43.77	52.50					2250.12	2258.85	167.00	< OK	178.2	12.65	12.66	13.5	0.01	6.29	4.657	5.586	0.776	0.931
P7	153	980.9	17019.1	0.0118	0.5021	2206.35	51.76	54.89					2258.11	2261.24	167.38	< OK	178.2	12.68	12.68	13.5		6.07	5.506	5.84	0.918	0.973
P8	171	110.8	17889.2	0.0125	0.5028	2206.35	55.88	56.22					2262.23	2262.57	167.58	< OK	178.2	12.70	12.70	13.5		5.96	5.945	5.982	0.991	0.997
P9	180	0	18000.0	0.0125	0.5028	2206.35	56.40	56.40					2262.75	2262.75	167.61	< OK	178.2	12.70	12.70	13.5		5.94	6	6	1	1

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=18000 (cm), Syt=526.5 MPa, MAWP=0.63739 (kg/cm²), HT_UPPCOL = 37200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=661.949, Nφ=132.39

No	Description	Symbol	Value	SI Unit	Value	Metric Unit
1	Design Data :
2	D = Tank In-Diameter	D =	18000	mm	1800.0	cm
3	R = Inside Radius in Corroded Condition	R =	9000	mm	900.0	cm
4	L = Hydrostatic-test Water Level	L =	18000	mm	1800.0	cm
5	CA = Corrosion Allowance	CA =	0.0	mm	0	cm
6	Wt = Total Weight at Operating Condition	Wt =	30,572,732	N	3117551.1	Kg
7	S = Allowable Stress for the Design Condition SA553-TYPE1, Sd = 526.5MPa	S =	526.5	MPa	5368.806	Kg/cm²
8	P = Design internal GAS Pressure	P =	0.49	MPa	5.0	Kg/cm²
9	SG = Design Specific Gravity	SG =	1.0		1
10	γ = Liquid Density	γ =	9.80665E-6	N/mm³	1000.0	Kg/m³
11	d = Outsdie diameter of Column	d =	863.6	mm	86.36	cm
12	N = Number of Support Column	N =	10.0	columns	10	columns
13	Δ = Angle of equator line to column top point	Δ =	0.0	degree	0	radians
14	φ = Angle of upper column from top to base	φ =	24.4144	degree	0.42611	radians
15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	0.0	degree	0	radians
16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	0.9956828		0.9956828
17	C2 = Factor	C2 =	1.0000000		1.0000000
18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1.1033798		1.1033798
19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	0.4133333		0.4133333
20	C5 = 22 / φ	C5 =	0.9011075		0.9011075
21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0.4133333		0.4133333
22	Calculation Result :
23	PM = P×R/2	PM =	2206.35	N-mm	22.499	Kg-cm
24	Nθ = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	Nθ =	661.949	N-mm	6.75	Kg-cm
25	Nφ = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	Nφ =	132.39	N-mm	1.35	Kg-cm
26	ΣNθ = Max. Latitude Membrane Force 　　ΣNθ = Nθ + PM + VB - HB	ΣNθ =	3130.44	N/mm	3192.16	Kg/cm
27	ΣNφ = Max. Meridional Membrane Force 　　ΣNφ = Nφ + PM - IP	ΣNφ =	1900.28	N/mm	1937.746	Kg/cm
28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	5.7	mm	0.57	cm
29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣNθ²＋ ΣNφ² － ( ΣNθ x ΣNφ ) ＋ 3·τxy²] S ＋ CA	tReq =	5.28	mm	0.528	cm
30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣNθ²＋ ΣNφ²－ ( ΣNθ x ΣNφ ) ＋ 3·τxy²] (tu － CA)	σeq =	428.057	MPa	4364.967	Kg/cm²
31	Calculation Result :
32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	1,423,629,888	N-mm	14516.985×103	Kg-cm
33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	536,272,589	N-mm	5468.459×103	Kg-cm
34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	715,345,861	N-mm	7294.498×103	Kg-cm
35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	252,133,297	N-mm	2571.044×103	Kg-cm
36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	350.465	N/mm	357.375	Kg/cm
37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	825,771,507	N-mm	8420.526×103	Kg-cm
38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	434,058,811	N-mm	4426.168×103	Kg-cm
39	Za = IH / LA × t	Za =	18,849,732	mm³	18.85×103	cm³
40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	4,450,101,419	mm³	4450.101×103	cm³
41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.9385E-5		1.9385E-5
42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	6.389186E-3		6.389186E-3
43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	1888.664	mm	188.866	cm
44	HB : Membrance Force resulting from latitude bending moment 　HB = Mks / Zv	HB =	88.321	N/mm	90.062	Kg/cm
45	Mks = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mks =	72,565,116	N-mm	739.958×103	Kg-cm
46	Mkm = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	Mkm =	36,462,535	N-mm	371.814×103	Kg-cm
47	Zv = IV / Max(KA, KB)	Zv =	821,605	mm³	8216.048	cm²
48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	221,746,899	mm³	221.747×103	cm³
49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	269.895	mm	26.99	cm
50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	534.887	mm	53.489	cm
51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	438.461	N/mm	447.106	Kg/cm
52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	305.268	N/mm	311.287	Kg/cm
53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	2,333,823	N	237983.7	Kg
54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	62625.535	N	6386.0	Kg
55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	7440.0	mm	744.0	cm

piDeg=[24.414402314929568] piRad=[0.4261117053020465] 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=526.5 MPa, MAWP=0.63739 (kg/cm²), HT_UPPCOL = 37200.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 의 두께 와 최대변형에너지 Theory(Von-Mises Stress) 에 의한 두께 계산의 평가					Nθ, Nφ 계산상수 Coeif.
Segment Angle		Hmm	Hd Liquid Depth	Static Head Ps	Total Pressure Pt=Pg+Ps	PM = P*R/2	Nθ	Nφ	VB	HB	IP	τxy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	18000.0	0	0	0.4903	2206.35							2206.35	2206.35	441.27	< OK	526.5	4.19	4.19	5.0		16.19	0	0	0	0
P1	9	17889.2	110.8	0.0011	0.4914	2206.35	7.34	2.44					2213.69	2208.79	442.25	< OK	526.5	4.20	4.20	5.0		16.00	0.055	0.018	0.009	0.003
P2	27	17019.1	980.9	0.0096	0.4999	2206.35	65.35	21.23					2271.70	2227.58	409.08	< OK	526.5	4.27	4.27	5.5		22.30	0.494	0.16	0.082	0.027
P3	45	15364.0	2636.0	0.0259	0.5162	2206.35	177.82	54.84					2384.17	2261.19	422.75	< OK	526.5	4.42	4.41	5.5	-0.01	19.71	1.343	0.414	0.224	0.069
P4	59.5	13567.8	4432.2	0.0435	0.5338	2206.35	304.03	87.15					2510.38	2293.50	438.05	< OK	526.5	4.58	4.56	5.5	-0.02	16.80	2.297	0.658	0.383	0.11
P5	90	9000.0	9000.0	0.0883	0.5786	2206.35	661.95	132.39	350.47	88.32	438.46	305.27	3130.44	1900.28	428.06	< OK	526.5	5.28	4.95	6.5	-0.33	18.70	5	1	0.833	0.167	Column Attached Equator Plate
	120.5	4432.2	13567.8	0.1331	0.6234	2206.35	490.30	707.19					2696.65	2913.54	432.52	< OK	526.5	5.34	5.33	6.5	-0.01	17.85	3.703	5.342	0.617	0.89
P6	135	2636.0	15364.0	0.1507	0.641	2206.35	616.52	739.50					2822.87	2945.85	444.05	< OK	526.5	5.48	5.48	6.5		15.66	4.657	5.586	0.776	0.931
P7	153	980.9	17019.1	0.1669	0.6572	2206.35	728.99	773.11					2935.34	2979.46	455.02	< OK	526.5	5.62	5.62	6.5		13.58	5.506	5.84	0.918	0.973
P8	171	110.8	17889.2	0.1754	0.6657	2206.35	787.00	791.90					2993.35	2998.25	460.89	< OK	526.5	5.69	5.69	6.5		12.46	5.945	5.982	0.991	0.997
P9	180	0	18000.0	0.1765	0.6668	2206.35	794.34	794.34					3000.69	3000.69	461.64	< OK	526.5	5.70	5.70	6.5		12.32	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])= 215739.254
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 =	3720	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	8280	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	17580	mm
8. gCol[tid][8] =	Brace Angle	BRang =	33.2689	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.4015	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	t27 ~ 27	SHT	46	215.739	263.202	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t27, t12×3013×3720	SHT	10	11.831	13.014	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø863.6×9.65t × 8280L	PCS	10	16.826	16.826	000,000	000,000	3
4	BRACE ( PIPE, θ= 33.2689 deg.)	null	Ø0×0t × 9903L	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: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				86	244.397	293.042	000,000	000,000	12

]CODE_CALC() 111 Tank Qty = iMax = [8]
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [47.0]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 = [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 = [42.0]mm
]

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

tReq =

P·R 2·S·E － 0.2·P

＋ CA

Div.1 tReq =

PR 2SE － 0.2P

＋ CA

Div.1 tReq =

P·R 2·S·E － 0.2·P

＋ CA

Div.1　 tReq =

P·Rc 2·S·E － 0.2·P

＋ CA

Div.2　 tReq = R · [ EXP(

0.5 · P 　  S · E

) － 1 ] ＋ CA

시작시간 = [2024-12-05 09:35:12.0526]
종료시간 = [2024-12-05 09:35:12.0613]

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