Sphercal Tank / SVG DRAW and Calculation

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시작시간 = [2024-12-05 09:21:34.0776]
req=[org.apache.catalina.connector.RequestFacade@29943fe7]
res=[org.apache.catalina.connector.ResponseFacade@43ef6c04]
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=6 and sid=0

sid	SYMBOL	UNIT	DESCR	kid
0	PUnit	bar	1 \| bar \| 입력 압력단위 (Pressue Input Unit) = bar \|	6

]
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=6 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	2006.970	2006.970	8379.160
1	Storage Capacity [저장용량]	m³	V_sto	1950.430	1950.430	7541.290
2	Vapor Space Capacity	m³	V_hil	56.540	56.540	837.870
3	Storage Capacity Ratio	%	R_Sto	97.180	97.180	90.000
4	Vapor Space Ratio	%	R_vapor	2.820	2.820	10.000
10	A. WEIGHT SUMMARY
11	SHELL PLATE	Ton	Ws	166.145	157.566	541.785
12	UPPER COLUMN (PLATE)	Ton	Wuc	6.653	6.648	32.426
13	LOWER COLUMN (PIPE)	Ton	Wc	13.096	13.099	56.831
14	CROSS BRACE (PIPE)	Ton	Wb	11.397	11.397	21.319
15	ROOF PLATFORM & STAIRWAY	Ton	Wr	11.786	11.789	51.148
16	WATER SPRAY AND ATTACHMENT	Ton	Wsp	10.477	10.479	45.465
17	MANHOLE & NOZZLE	Ton	Wn	12.200	12.200	19.500
18	INTERNAL LADDER & ATTACHMENT	Ton	Wi	9.626	9.626	15.386
19	ANCHOR BOLT/NUT	Ton	Wa	3.180	3.180	4.452
20	COLUMN FIRE PROOFING	Ton	Win	30.200	30.200	70.500
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	609.600	609.600	1066.800
27	Lower-Column Thickness	mm	Tcol	12.700	12.700	16.000
28	Cross-Brace O.D	mm	Dbrace	219.100	219.100	219.100
29	Cross-Brace Thickness	mm	Tbrace	12.700	12.700	12.700
30	■ EMPTY WEIGHT (1 Unit)	Ton	We	274.760	266.180	858.810								We = W(1)+ .. +W(10)
31	B. LOADING DATA
32	CONTENTS WEIGHT (at Operating)	Ton	Wc	1212.190	1212.190	4449.360								*Wc = Vsto S.G**
33	HYDROSTATIC TEST WATER WEIGHT	Ton	Wt	2006.970	2006.970	8379.160								*Wt = Vnom 1.0**
34	1) VERTICAL LOAD
35	EMPTY WEIGHT	Ton	We	274.760	266.180	858.810								We = W(1)+ .. +W(10)
36	OPERATING WEIGHT	Ton	Wo	1486.950	1478.370	5308.170								Wo = We + Wc
37	HYDROSTATIC TEST WEIGHT	Ton	Wh	2281.730	2273.150	9237.970								Wh = We + Wt
38	2) HORIZONTAL LOAD
39	SEISMIC FACTOR (CS=0.25 Fix)		CS	0.250	0.250	0.250
40	SEISMIC LOAD (Base Shear) Vs = CS x Wo	Ton	Vs	371.740	369.590	1327.040								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=6 and sid<100 Order By sid

sid	SYMBOL	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10
1	TNO	V-1110A/B	V-1110A/B	V-1110A/B
2	CODE	DIV. 1	DIV. 1	DIV. 2
3	CONTENT	1,3 Butane	1,3 Butane	Propylene
4	SG	0.6215	0.6215	0.59
5	MATL	SA516-70	SA516-70	SA537-CL2
6	DTEMP	68	68	68
7	Sd	138.00	138.00	230.00
8	Di	15650	15650	25200
9	CA	3.0	3.0	1.5
10	HT	10825	10825	15600
11	HHLL	14080	14080	20266
12	HLL	12520	12520	20266
13	LLL	2000	2000	2000
14	LLLL	1000	1000	1000
15	Pi	6.0	6.0	8.335653
16	Pe	1.01325	1.01325	1.01325
17	MDMT	-19	-19	-19
18	E	0.8	1.0	1.0
19	TQTY	1.0	1.0	1.0
20	CQTY	10	10	14
21	SQTY	8	8	10
22	CACB	3.0 / 3.0	3.0 / 3.0	3.0 / 3.0
23	L	64.0	64.0	64.0
24	tdReq	27.33	22.46	27.57
25	twReq	15.62	15.62	20.62
26	tmReq	15.62	15.62	21.29
27	teReq	25.25	25.25	33.71
28	tTops	26.0	26.0	34.5
29	tMids	27.5	26.0	34.5
30	tBtms	28.5	26.0	34.5
31	tUsed	28.5	26.0	34.5
32	MSG	OK	OK	OK
33	tdCyo	51.81	42.02	53.7
34	ttCyt	34.3	34.3	44.11
35	tCyli	53.0	43.0	54.5

]
cdAry[4] = [[cAry, dAry] TANK STRENGTH CALCULATION SHEET, uid= [1], units= [bar]

1	1	TANK NO. (Max. 40 Char.)	TNO =		V-1110A/B 0	V-1110A/B 0	V-1110A/B 0
2	2	VESSEL DESIGN CODE (ASME SEC. VIII, Div. 1,2)	CODE =		DIV. 1 1	DIV. 1 1	DIV. 2 2
3	3	STORAGE LIQUID NAME	CONTENT =		1,3 Butane 0	1,3 Butane 0	Propylene 0
4	4	DESIGN SPECIFIC GRAVITY	SG =		0.6215 0.6215	0.6215 0.6215	0.59 0.59
5	5	MATERIAL OF SHELL PLATE	MATL =		SA516-70 0	SA516-70 0	SA537-CL2 0
6	6	DESIGN TEMPERATURE (Max.)	DTEMP =	℃	68 68	68 68	68 68
7	7	ALLOWABLE STRESS at Deisin(Operating)	Sd =	MPa	138.00 138	138.00 138	230.00 230
8	8	TANK INSIDE DIAMETER	Di =	mm	15650 15650	15650 15650	25200 25200
9	9	CORROSION ALLOWANCE (SHELL)	CA =	mm	3.0 3	3.0 3	1.5 1.5
10	10	TANK EQUATOR LEVEL (FROM GROUND)	HT =	mm	10825 10825	10825 10825	15600 15600
11	11	(SHELL 두께계산 높이) HIGH HIGH LIQUID LEVEL	HHLL =	mm	14080 14080	14080 14080	20266 20266
12	12	(Storage 용량계산 액높이) HIGH LIQUID LEVEL	HLL =	mm	12520 12520	12520 12520	20266 20266
13	13	LOW LIQUID LEVEL	LLL =	mm	2000 2000	2000 2000	2000 2000
14	14	LOW LOW LIQUID LEVEL	LLLL =	mm	1000 1000	1000 1000	1000 1000
15	15	DESIGN INTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pi =	bar kPa	6.0 600	6.0 600	8.335653 833.5653
16	16	DESIGN EXTERNAL PRESSURE (DATA SHEET 상의 압력) 프로그램이 계산시 사용하는 압력은? [SI UNIT]	Pe =	bar kPa	1.01325 101.325	1.01325 101.325	1.01325 101.325
17	17	MIN.DESIGN METAL TEMPERATURE	MDMT =	℃	-19 -19	-19 -19	-19 -19
18	18	SHELL JOINT EFFICIENCY	E =		0.8 0.8	1.0 1	1.0 1
19	19	TANK QUANTITY (탱크수량 직접입력)	TQTY =	Unit	1.0 1	1.0 1	1.0 1
20	20	COLUMN QUANTITY (수량자동계산)	CQTY =	EA	10 10	10 10	14 14
21	21	SHELL SEGMENT QUANTITY (수량자동계산)	SQTY =	EA	8 8	8 8	10 10
22	22	CORROSION ALLOWANCE (Column/Brace)	CACB =	mm	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
24	24	Req'd Thickness under Operating Cond. (Pi+Ps)	tdReq =	mm	27.33 27.33	22.46 22.46	27.57 27.57
25	25	Req'd Thickness under Hydro-test (MAWP) (Pt)	twReq =	mm	15.62 15.62	15.62 15.62	20.62 20.62
26	26	Req'd Thickness under Hydro-test (MAP) (Pt)	tmReq =	mm	15.62 15.62	15.62 15.62	21.29 21.29
27	27	Req'd Thickness under External Pressue (Pe)	teReq =	mm	25.25 25.25	25.25 25.25	33.71 33.71
28	28	● Top Shell Used Thickness	tTops =	mm	26.0 26	26.0 26	34.5 34.5
29	29	● Equator Used Thickness	tMids =	mm	27.5 27.5	26.0 26	34.5 34.5
30	30	● Bottom Shell Used Thickness	tBtms =	mm	28.5 28.5	26.0 26	34.5 34.5
31	31	● Max. (Spherical) Used Thickness	tUsed =	mm	28.5 28.5	26.0 26	34.5 34.5
32	32	If (tUsed ≤ 64mm) then Accetable Else (tUsed>64mm) Sd ReSelect	MSG =		OK 0	OK 0	OK 0
33	33	(● Cylinder) Req'd Thickness under Oper. (Pi+Ps)	tdCyo =	mm	51.81 51.81	42.02 42.02	53.7 53.7
34	34	(● Cylinder) Req'd Thickness under Hydrotest(Pt)	ttCyt =	mm	34.3 34.3	34.3 34.3	44.11 44.11
35	35	● Max. (Cylinder) Used Thickness	tCyli =	mm	53.0 53	43.0 43	54.5 54.5

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 = 15,650 (m), Material SA516-70, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	10	10	26.5	2731.4	8194.3	1	4,423		16,389		26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#2, 0	20	30	26.5	2731.4	7256.1	2	8,846	ø7825	29,024	5,883	26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#3, 3	20	50	26.5	2731.4	9415.8	4	15,319	ø11988.6	37,663		26.5	2731.4	8677.2	4	3829.69	15318.8	1746.84	73.639
#4, 4	16	66	26.5	7485.9	2185.2	6	18,892	ø14297	44,915	13,111	26.5	2495.3	8194.3	6	3148.60	18891.6	1847.1	90.814
#5, 5	64	130	27.5	2731.4	8848.6	18	87,165	ø15650		157,331	27.5	2731.4	8848.6	18	4842.51	87165.1	8212.52	403.776
#6, 8	20	150	28.0	2731.4	9415.8	4	16,186	ø11988.6	37,663		28.0	2731.4	8477.2	4	4046.46	16185.9	1746.84	73.639
#7, 9	20	170	28.5	2731.4	7256.1	2	9,514	ø7825	29,024	5,883	28.5	2731.4	8194.3	3	4757.06	14271.2	1048.35	63.789
#8, 9	10	180	28.5	2731.4	8194.3	1	4,757		16,389		28.5	2731.4	8194.3	3	4757.06	14271.2	1048.35	63.789
Total Quantity and Shell Weight						38	165,102	kg	211.1 (m)	182.2 (m)				38		165102.2	15650	769.446
Total Site Weleding length (m)									393.3 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 15,650 (m), Material SA516-70, HEAD TYPE : FOOT BALL

Weight Summary and SITE Welding Length											Strength Calculation Result, sWt[][][]
No.	Each Angle θ, deg	Sum Angle φ, deg	Shell Thk mm	Shell Width mm	Shell Length mm	Qty SHT	Net Weight kg	수평용접부 단면경 øD, mm	수평용접 hWeld L=øD,mm	수직용접 vWeld L, mm	Shell Thk mm	Width mm	Length mm	Qty Sht	Unit WT kg/sht	Net Weight kg	각단 높이 mm	표면적 A=πD*m (m²)
#1, 0	10	10	26.5	2731.4	8194.3	1	4,423		16,389		26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#2, 0	20	30	26.5	2731.4	7256.1	2	8,846	ø7825	29,024	5,883	26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#3, 3	20	50	26.5	2731.4	9415.8	4	15,319	ø11988.6	37,663		26.5	2731.4	8677.2	4	3829.69	15318.8	1746.84	73.639
#4, 4	16	66	26.5	7485.9	2185.2	6	18,892	ø14297	44,915	13,111	26.5	2495.3	8194.3	6	3148.60	18891.6	1847.1	90.814
#5, 5	64	130	26.5	2731.4	8848.6	18	83,996	ø15650		157,331	26.5	2731.4	8848.6	18	4666.42	83995.5	8212.52	403.776
#6, 8	20	150	26.5	2731.4	9415.8	4	15,319	ø11988.6	37,663		26.5	2731.4	8477.2	4	3829.69	15318.8	1746.84	73.639
#7, 9	20	170	26.5	2731.4	7256.1	2	8,846	ø7825	29,024	5,883	26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
#8, 9	10	180	26.5	2731.4	8194.3	1	4,423		16,389		26.5	2731.4	8194.3	3	4423.24	13269.7	1048.35	63.789
Total Quantity and Shell Weight						38	160,064	kg	211.1 (m)	182.2 (m)				38		160064	15650	769.446
Total Site Weleding length (m)									393.3 (m)

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

1. Shell Plate 현장 용접길이 계산, Tank Dia. D = 25,200 (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	6.4	6.4	35.5	2814.9	8444.6	1	6,293		16,889		35.5	2814.9	8444.6	3	6293.04	18879.1	700.86	67.746
#2, 0	12.8	19.2	35.5	2814.9	8006.7	2	12,586	ø8287.4	32,027	5,085	35.5	2814.9	8444.6	3	6293.04	18879.1	700.86	67.746
#3, 3	12.8	32	35.5	2814.9	10488.2	4	23,361	ø13354	41,953		35.5	2814.9	9642.7	4	5840.26	23361.0	1213.73	83.829
#4, 4	9.5	41.5	35.5	8743.1	2089.2	6	27,546	ø16698	52,458	12,535	35.5	1873.5	8796.5	9	3060.69	27546.2	1248.57	98.847
#5, 5	45.5	87	35.5	2823.6	10006	28	193,649	ø25165.5	79,060	280,167	35.5	2823.6	10050	28	6916.03	193648.8	8777.41	694.891
#6, 6	51.5	138.5	35.5	2827.4	11387.8	28	222,746	ø25200		317,112	35.5	2827.4	11387.8	28	7955.21	222745.8	10096.27	799.303
#7, 9	9.5	148	35.5	8743.1	2089.2	6	27,546	ø16698	52,458	12,535	35.5	1873.5	8796.5	9	3060.69	27546.2	1248.57	98.847
#8, 10	12.8	160.8	35.5	2814.9	10488.2	4	23,361	ø13354	41,953		35.5	2814.9	9442.7	4	5840.26	23361.0	1213.73	83.829
#9, 11	12.8	173.6	35.5	2814.9	8006.7	2	12,586	ø8287.4	32,027	5,085	35.5	2814.9	8444.6	3	6293.04	18879.1	700.86	67.746
#10, 11	6.4	180	35.5	2814.9	8444.6	1	6,293		16,889		35.5	2814.9	8444.6	3	6293.04	18879.1	700.86	67.746
Total Quantity and Shell Weight						82	555,967	kg	365.7 (m)	632.5 (m)				88		555967.2	25200	1995.038
Total Site Weleding length (m)									998.2 (m)

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

탱크 공칭 및 저장용량

하중조건 (Loading Data)

TNO

Liquid
Name

DLL

Vnom

Vsto

Vhil

vRatio

탱크
표면적

4.Empty
Steel

5,저장
액체

6.운전
중량

7.수압
수중량

8.수압
테스트중량

ｍ³

(%)

Ton

V-1110A/B

1,3 Butane

0.6215

15,650

14,080

2006.97

1950.43

56.54

2.8 (%)

769.45

185.34

1212.19

1397.53

2006.97

2192.31

V-1110A/B

1,3 Butane

0.6215

15,650

14,080

2006.97

1950.43

56.54

2.8 (%)

769.45

180.23

1212.19

1392.42

2006.97

2187.21

V-1110A/B

Propylene

0.59

25,200

20,266

8379.16

7541.29

837.86

10 (%)

1995.04

652.5

4449.36

5101.86

8379.16

9031.66

공간용적비(%) = 공간용적 / 공칭용량 * 100
Ratio of vapour Space, vRatio = Vhil / Vnom * 100(%)
uAry[1][3] = [ 1 | bar | 입력 압력단위 (Pressue Input Unit) = bar | ]
uAry[1][3].substring(0,1).trim() = [1]
uid = [1]
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	V-1110A/B	DIV. 1	1,3 Butane	0.6215	15650	3.0	10825	14080	6.0	1.01325	-19	68	10	OK	SA516-70	138.00	26.5 ~ 28.5	22.45	27.33	19.52	20.11	23.52	25.42	38	165.102	9 EA	10825	3380	7445	15260	35.0319	ø 812.8x8.74t	11	26.5 ~ 28.5	matid=3, Sd= 138.0 MPa,	51.81	39.11	40.29	47.13
2	V-1110A/B	DIV. 1	1,3 Butane	0.6215	15650	3.0	10825	14080	6.0	1.01325	-19	68	10	OK	SA516-70	138.00	26.5 ~ 26.5	22.45	22.46	15.61	18.71	22.88	25.42	38	160.064	9 EA	10825	3380	7445	15260	35.0319	ø 812.8x8.74t	11	26.5 ~ 26.5	matid=3, Sd= 138.0 MPa,	42.02	31.27	37.47	45.82
3	V-1110A/B	DIV. 2	Propylene	0.59	25200	1.5	15600	20266	8.335653	1.01325	-19	68	14	OK	SA537-CL2	230.00	35.5 ~ 35.5	27.55	27.58	20.62	26.39	29.84	34.36	88	555.967	14 EA	15600	4800	10800	24690	26.9628	ø 1066.8x15.09t	13	35.5 ~ 35.5	matid=6, Sd= 230.0 MPa, t ≤ 64t	53.71	41.27	52.84	59.74

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : V-1110A/B자재 중량표	Rev. No.	[AAA4]

(1/3) Tank No. : [V-1110A/B] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 15650 mm, DLL = 14080 mm, CA = 3 mm, SG = 0.6215, Pg = 600 kPa, Pe = 101.325 kPa
, SA516-70 matid=3, Sd= 138.0 MPa, St= 234.0 MPa,

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0^o	0.0^o	15650.0	20.02	24.28	16.90	20.31	25.42	26.5	#1	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=0
	10.0^o	10.0^o	15531.1	20.02	24.28	16.92	20.34	25.42	26.5										typ=4
	20.0^o	30.0^o	14601.6	20.02	24.28	17.11	20.53	25.42	26.5										typ=4
2	20.0^o	50.0^o	12854.8	20.23	24.55	17.47	20.88	25.42	26.5	#2	20.0^o	SA516-70	26.5	2731.4	8677.2	4	3,830	15,319	typ=3
3	16.0^o	66.0^o	11007.7	20.56	24.95	17.85	21.26	25.42	26.5	#3	16.0^o	SA516-70	26.5	2495.3	8194.3	6	3,149	18,892	typ=3
4	24.0^o	90.0^o	7825.0	21.32	25.64	18.50	21.91	25.42	27.5	#4	64.0^o	SA516-70	27.5	2731.4	8840.6	18	4,843	87,165	typ=1
4	40.0^o	130.0^o	2795.2	21.97	26.73	19.54	22.95	25.42	27.5	#4	64.0^o	SA516-70	27.5	2731.4	8840.6	18	4,843	87,165	typ=4
5	20.0^o	150.0^o	1048.4	22.27	27.10	19.89	23.31	25.42	28.0	#5	20.0^o	SA516-70	28.0	2731.4	8477.2	4	4,046	16,186	typ=3
6	20.0^o	170.0^o	118.9	22.43	27.30	20.08	23.50	25.42	28.5	#6	30.0^o	SA516-70	28.5	2731.4	8194.3	3	4,757	14,271	typ=2
6	10.0^o	180.0^o	0.0	22.45	27.33	20.11	23.52	25.42	28.5	#6	30.0^o	SA516-70	28.5	2731.4	8194.3	3	4,757	14,271	typ=4
Sub-Total																38	Sht	165,102	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO102]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : V-1110A/B자재 중량표	Rev. No.	[AAA4]

(2/3) Tank No. : [V-1110A/B] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 1, Di = 15650 mm, DLL = 14080 mm, CA = 3 mm, SG = 0.6215, Pg = 600 kPa, Pe = 101.325 kPa
, SA516-70 matid=3, Sd= 138.0 MPa, St= 234.0 MPa,

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0^o	0.0^o	15650.0	20.02	20.02	16.14	20.31	25.42	26.5	#1	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=0
	10.0^o	10.0^o	15531.1	20.02	20.02	16.16	20.33	25.42	26.5										typ=4
	20.0^o	30.0^o	14601.6	20.02	20.02	16.31	20.48	25.42	26.5										typ=4
2	20.0^o	50.0^o	12854.8	20.23	20.24	16.60	20.77	25.42	26.5	#2	20.0^o	SA516-70	26.5	2731.4	8677.2	4	3,830	15,319	typ=3
3	16.0^o	66.0^o	11007.7	20.56	20.56	16.90	21.07	25.42	26.5	#3	16.0^o	SA516-70	26.5	2495.3	8194.3	6	3,149	18,892	typ=3
4	24.0^o	90.0^o	7825.0	21.31	21.11	17.42	21.59	25.42	26.5	#4	64.0^o	SA516-70	26.5	2731.4	8840.6	18	4,666	83,996	typ=1
4	40.0^o	130.0^o	2795.2	21.97	21.98	18.25	22.42	25.42	26.5	#4	64.0^o	SA516-70	26.5	2731.4	8840.6	18	4,666	83,996	typ=4
5	20.0^o	150.0^o	1048.4	22.27	22.28	18.53	22.70	25.42	26.5	#5	20.0^o	SA516-70	26.5	2731.4	8477.2	4	3,830	15,319	typ=3
6	20.0^o	170.0^o	118.9	22.43	22.44	18.69	22.86	25.42	26.5	#6	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=2
6	10.0^o	180.0^o	0.0	22.45	22.46	18.71	22.88	25.42	26.5	#6	30.0^o	SA516-70	26.5	2731.4	8194.3	3	4,423	13,270	typ=4
Sub-Total																38	Sht	160,064	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO103]

S-Tank Engineering	Spherical Tank Calculation	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : V-1110A/B자재 중량표	Rev. No.	[AAA4]

(3/3) Tank No. : [V-1110A/B] 자재 중량표 CALC_SPH_BODY_WEIGHT()

Design Code : Div. 2, Di = 25200 mm, DLL = 20266 mm, CA = 1.5 mm, SG = 0.59, Pg = 833.565 kPa, Pe = 101.325 kPa
, SA537-CL2 matid=6, Sd= 230.0 MPa, St= 394.25 MPa, Thick Limit : t ≤ 64t

Calculation Result of Required Thickness, (mm)										Used Thickness, (mm)
No.	Each Angle	Sum. Angle	Hmm	1)tShear Theory σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed thick.	PNo	SEG. Angle	Matl	tUsed thick.	Width	Height	Qty	Unit WT	Net WT	Remark
P	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.		mm	mm	mm	SHT	kg/sht	kg
1	0.0^o	0.0^o	25200.0	24.34	24.36	22.44	25.88	34.36	35.5	#1	19.2^o	SA537-CL2	35.5	2814.9	8444.6	3	6,293	18,879	typ=0
	6.4^o	6.4^o	25121.5	24.34	24.36	22.45	25.89	34.36	35.5										typ=4
	12.8^o	19.2^o	24499.1	24.34	24.36	22.55	25.99	34.36	35.5										typ=4
2	12.8^o	32.0^o	23285.4	24.34	24.36	22.74	26.18	34.36	35.5	#2	12.8^o	SA537-CL2	35.5	2814.9	9642.7	4	5,840	23,361	typ=3
3	9.5^o	41.5^o	22036.8	24.34	24.36	22.93	26.37	34.36	35.5	#3	9.5^o	SA537-CL2	35.5	1873.5	8796.5	9	3,061	27,546	typ=3
4	45.5^o	87.0^o	13259.4	25.50	25.47	24.31	27.75	34.36	35.5	#4	45.5^o	SA537-CL2	35.5	2823.6	10050.0	28	6,916	193,649	typ=3
5	3.0^o	90.0^o	12600.0	25.54	25.58	24.42	27.86	34.36	35.5	#5	51.5^o	SA537-CL2	35.5	2827.4	11425.4	28	7,955	222,746	typ=1
5	48.5^o	138.5^o	3163.2	27.05	27.07	25.90	29.34	34.36	35.5	#5	51.5^o	SA537-CL2	35.5	2827.4	11425.4	28	7,955	222,746	typ=4
6	9.5^o	148.0^o	1914.6	27.25	27.27	26.09	29.54	34.36	35.5	#6	9.5^o	SA537-CL2	35.5	1873.5	8796.5	9	3,061	27,546	typ=3
7	12.8^o	160.8^o	700.9	27.44	27.46	26.28	29.73	34.36	35.5	#7	12.8^o	SA537-CL2	35.5	2814.9	9442.7	4	5,840	23,361	typ=3
8	12.8^o	173.6^o	78.5	27.54	27.56	26.38	29.82	34.36	35.5	#8	19.2^o	SA537-CL2	35.5	2814.9	8444.6	3	6,293	18,879	typ=2
8	6.4^o	180.0^o	0.0	27.55	27.58	26.39	29.84	34.36	35.5	#8	19.2^o	SA537-CL2	35.5	2814.9	8444.6	3	6,293	18,879	typ=4
Sub-Total																88	Sht	555,967	kg

[여기에 현장 용접 길이를 넣는다.INSERTTANKNO104]

CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=600 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=861.3 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0^o	15656.0	0	0	600.0	600.0	20.02	24.28	26.5	0.7+0.38	0.6625	0.7473			1.0	σeq = 104.373	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0		600.0	20.02	24.28	26.5	0.7+0.38	0.6625	0.7473			1.0	σeq = 104.373	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0		600.0	20.02	24.28	26.5	0.7+0.38	0.6625	0.7473			1.0	σeq = 104.373	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5		607.5	20.23	24.55	26.5	0.7+0.38	0.6550	0.7473			1.0	σeq = 105.686	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7		618.7	20.56	24.95	26.5	0.7+0.38	0.6438	0.7473			1.0	σeq = 105.37	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1		638.1	21.32	25.64	27.5	0.7+0.16	0.6244	0.7473			1.0	σeq = 129.645	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8		668.8	21.97	26.73	27.5	0.7+0.07	0.6218	0.7754			1.0	σeq = 106.873	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4		679.4	22.27	27.10	28.0	0.7+0.20	0.6253	0.7895			1.0	σeq = 106.377	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1		685.1	22.43	27.30	28.5	0.7+0.50	0.6337	0.8036			1.0	σeq = 105.157	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8		685.8	22.45	27.33	28.5	0.7+0.47	0.6330	0.8036	0.6218	0.7473	1.0	σeq = 105.269	11 / 11

A) Operating :

　　tReq =

P·R

2·S·E － 0.2·P

＋ CA

B) Test :

　　tReq =

P·Rc

2·St·E － 0.2·Pt

＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.6000	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.6218	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.7473	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=600 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=808.3 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment	Each Angle	Angle α	H	Hs	Ps	Pset (Test Gage Pressure)	P =Ps+Pset	1)ttReq Pg (Basis)	2)ttReq MAWP	3)ttReq MAP 공장수압 시에만사용	tUsed	Pmax MAWP	Pmax MAP
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa
	0	0^o	15650.0	0	0	808.3	808.3	16.31	16.90	20.31	26.5	0.6625	0.7473	σeq = 173.889	1 / 11
P1	10.0^o	10.0^o	15531.1	118.9	1.2		809.5	16.33	16.92	20.34	26.5	0.6625	0.7473	σeq = 174.227	2 / 11
P2	20.0^o	30.0^o	14601.6	1048.4	10.3		818.6	16.52	17.11	20.53	26.5	0.6625	0.7473	σeq = 170.571	3 / 11
P3	20.0^o	50.0^o	12854.8	2795.2	27.4		835.7	16.88	17.47	20.88	26.5	0.6550	0.7473	σeq = 175.484	4 / 11
P4	16.0^o	66.0^o	11007.7	4642.3	45.5		853.8	17.26	17.85	21.26	26.5	0.6438	0.7473	σeq = 174.603	5 / 11
P5	24.0^o	90.0^o	7825.0	7825.0	76.7		885.0	17.91	18.50	21.91	27.5	0.6244	0.7473	σeq = 211.908	6 / 11
P5	40.0^o	130.0^o	2795.2	12854.8	126.1		934.4	18.94	19.54	22.95	27.5	0.6218	0.7754	σeq = 177.654	8 / 11
P6	20.0^o	150.0^o	1048.4	14601.6	143.2		951.5	19.30	19.89	23.31	28.0	0.6253	0.7895	σeq = 176.24	9 / 11
P7	20.0^o	170.0^o	118.9	15531.1	152.3		960.6	19.49	20.08	23.50	28.5	0.6337	0.8036	σeq = 178.388	10 / 11
P8	10.0^o	180.0^o	0	15650.0	153.5		961.8	19.52	20.11	23.52	28.5	0.6330	0.8036	σeq = 173.41	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value
(MPa)

Test Gage
Pressure
(kg/cm2)

Hydro. Test
Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.6000

at Site

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

Pset(MAWP) =

0.7800

7.9538

CASE 2

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

MAWP =

0.6218

at Site

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

Pset(MAWP) =

0.8083

8.2424

CASE 3

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

MAP =

0.7473

at Shop

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

Pset(MAP) =

0.9715

9.9065

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0^o	15656.0	0	0	15650.0	0	0	23.50	26.5	0.6625	0.7473	111.3584	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0	15531.1	118.9	1.2	23.50	26.5	0.6625	0.7473	111.3584	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0	14601.6	1048.4	10.3	23.50	26.5	0.6625	0.7473	111.3584	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5	12854.8	2795.2	27.4	23.50	26.5	0.6550	0.7473	111.3584	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7	11007.7	4642.3	45.5	23.50	26.5	0.6438	0.7473	111.3584	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1	7825.0	7825.0	76.7	23.50	26.5	0.6244	0.7473	111.3584	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8	2795.2	12854.8	126.1	24.50	27.5	0.6218	0.7754	121.0107	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4	1048.4	14601.6	143.2	25.00	28.0	0.6253	0.7895	125.9863	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1	118.9	15531.1	152.3	25.50	28.5	0.6337	0.8036	131.0615	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8	0	15650.0	153.5	25.50	28.5	0.6330	0.8036	131.0615	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value
(MPa)

Test Gage
Pressure
(kg/cm2)

Hydro. Test
Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.6000

at Site

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

Pset(MAWP) =

0.7800

7.9538

CASE 2

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

MAWP =

0.6218

at Site

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

Pset(MAWP) =

0.8083

8.2424

CASE 3

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

MAP =

0.7473

at Shop

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

Pset(MAP) =

0.9715

9.9065

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA516-70

Maximum. Allowable External Pressure

MAEP =

111.3584

1.1355

CS-2

Pe < MAEP, OK

Pe < MAEP

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

● Shell Material	MATL =	SA516-70
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	260.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	234.0	MPa
- Allowable stress at Test temperature (-12℃~30℃) [Table 1A]	Samb =	138.0	MPa
- Allowable stress at Design temperature (60.0 ℃) [Table 1A]	S =	138.0	MPa
- Lowest Stress Ratio, LSR = Samb / Sd	LSR =	1.0
o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	23.5	mm
Outside Radius of tank top head	Ro =	7851.5	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0003741
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-2)	Factor B =	37.20554	MPa
Design External Pressure, 　Pe = 1.03323 (kg/cm²)	Pe =	101.3250	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	111.3584	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0^o	20.02	24.3	16.90	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	20.02	24.3	16.92	20.34	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	20.02	24.3	17.11	20.53	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	20.23	24.6	17.47	20.88	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.56	25.0	17.85	21.26	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	21.32	25.6	18.50	21.91	25.42	27.5	0.7+0.16	#4	64.0	27.5	2731.4	8840.6	18	4,843	87,165	6 / 11
P5	40.0^o	130.0^o	21.97	26.7	19.54	22.95	25.42	27.5	0.7+0.07	#4	64.0	27.5	2731.4	8840.6	18	4,843	87,165	8 / 11
P6	20.0^o	150.0^o	22.27	27.1	19.89	23.31	25.42	28.0	0.7+0.20	#5	20.0	28.0	2731.4	8477.2	4	4,046	16,186	9 / 11
P7	20.0^o	170.0^o	22.43	27.3	20.08	23.50	25.42	28.5	0.7+0.50	#6	30.0	28.5	2731.4	8194.3	3	4,757	14,271	10 / 11
P8	10.0^o	180.0^o	22.45	27.3	20.11	23.52	25.42	28.5	0.7+0.47	#6	30.0	28.5	2731.4	8194.3	3	4,757	14,271	11 / 11

], CalcRpt[i][1]=[Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 25.42 mm; Pe :101.33 kPa ≤ Pa = 101.38 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003570; Factor_B = 35.499 MPa

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

SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition
　　D=15650 (cm), Sd=138 MPa, Pg=0.6 (kg/cm²), HT_UPPCOL = 33700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=266.671, Nφ=31.757

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7828

782.8

　L = Design Liquid level

L =

14080

1408.0

　CA = Corrosion Allowance

CA =

3.0

0.3

　Wt = Total Weight at Operating Condition

Wt =

13,575,710

1384337.2

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

S =

138.0

MPa

1407.208

Kg/cm²

　P = Design internal GAS Pressure

P =

0.6

MPa

6.118

Kg/cm²

　SG = Design Specific Gravity

SG =

0.622

0.6215

　γ = Liquid Density

γ =

6.094833E-6

N/mm³

621.5

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.51015

degree

0.44524

radians

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

β =

36.96007

degree

0.64507

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9935776

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.1496619

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4306709

　C5 = 22 / φ

C5 =

0.8624020

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4306709

Calculation Result :

　PM = P×R/2

PM =

2348.4

N-mm

23.947

Kg-cm

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

Nθ =

266.671

N-mm

2.719

Kg-cm

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

Nφ =

31.757

N-mm

0.324

Kg-cm

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

ΣNθ =

2764.79

N/mm

2819.301

Kg/cm

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

ΣNφ =

2142.12

N/mm

2184.354

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

27.33

2.733

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

tReq =

21.32

2.132

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

σ_eq =

99.14

MPa

1010.947

Kg/cm²

Calculation Result :

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

Mo =

679,873,690

N-mm

6932.782×10³

Kg-cm

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

ΔMo =

246,165,559

N-mm

2510.19×10³

Kg-cm

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

Mc =

342,021,159

N-mm

3487.645×10³

Kg-cm

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

ΔMc =

114,836,452

N-mm

1171.006×10³

Kg-cm

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

VB =

202.422

N/mm

206.413

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

392,500,102

N-mm

4002.387×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

207,801,468

N-mm

2118.985×10³

Kg-cm

　Za = IH / LA × t

Za =

55,262,047

mm³

55.262×10³

cm³

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

IH =

3,323,586,510

mm³

3323.587×10³

cm³

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

VI =

2.4129E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.28256E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1714.056

171.406

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

HB =

52.708

N/mm

53.747

Kg/cm

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

Mks =

37,314,775

N-mm

380.505×10³

Kg-cm

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

Mkm =

18,771,785

N-mm

191.419×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

707,956

mm³

7079.563

cm²

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

IV =

181,292,990

mm³

181.293×10³

cm³

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

KA =

256.079

25.608

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

KB =

507.08

50.708

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

IP =

238.035

N/mm

242.728

Kg/cm

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

　τ_xy =

164.257

N/mm

167.496

Kg/cm

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

S' =

1,140,324

116280.7

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

P' =

32807.354

3345.4

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6742.584

674.258

piDeg=[25.510146359306425] piRad=[0.4452360466355415] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=15650 (cm), Sd=138 MPa, Pg=0.6 (kg/cm²), HT_UPPCOL = 33700.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	15656.0	0	0	0.6	2348.4							2348.40	2348.40	104.37	< OK	138	20.02	24.28	25.5	4.26	24.37	0	0	0	0
P1	10	15537.1	0	0	0.6	2348.4							2348.40	2348.40	104.37	< OK	138	20.02	24.28	25.5	4.26	24.37	0	0	0	0
P2	30	14607.2	0	0	0.6	2348.4							2348.40	2348.40	104.37	< OK	138	20.02	24.28	25.5	4.26	24.37	0	0	0	0
P3	50	12859.7	1223.3	0.0075	0.6075	2348.4	52.96	5.40					2401.36	2353.80	105.69	< OK	138	20.23	24.55	25.5	4.32	23.42	0.851	0.087	0.142	0.014
P4	66	11011.9	3071.1	0.0187	0.6187	2348.4	128.01	18.51					2476.41	2366.91	105.37	< OK	138	20.56	24.95	26.0	4.39	23.64	2.057	0.297	0.343	0.05
P5	90	7828.0	6255.0	0.0381	0.6381	2348.4	266.67	31.76	202.42	52.71	238.04	164.26	2764.79	2142.12	129.64	< OK	138	21.32	25.64	22.5	4.32	6.05	4.284	0.51	0.714	0.085	Column Attached Equator Plate
P5	130	2796.3	11286.7	0.0688	0.6688	2348.4	233.48	305.02					2581.88	2653.42	106.87	< OK	138	21.97	26.72	27.5	4.75	22.56	3.751	4.9	0.625	0.817
P6	150	1048.8	13034.2	0.0794	0.6794	2348.4	298.13	323.74					2646.53	2672.14	106.38	< OK	138	22.27	27.10	28.0	4.83	22.92	4.789	5.201	0.798	0.867
P7	170	118.9	13964.1	0.0851	0.6851	2348.4	331.69	334.54					2680.09	2682.94	105.16	< OK	138	22.43	27.30	28.5	4.87	23.80	5.329	5.374	0.888	0.896
P8	180	0	14083.0	0.0858	0.6858	2348.4	335.95	335.95					2684.35	2684.35	105.27	< OK	138	22.45	27.33	28.5	4.88	23.72	5.397	5.397	0.9	0.9

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=15650 (cm), Syt=234 MPa, MAWP=0.78 (kg/cm²), HT_UPPCOL = 33800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=500.389, Nφ=100.078

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7825

782.5

　L = Hydrostatic-test Water Level

L =

15650

1565.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

20,895,976

2130796.5

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

S =

234.0

MPa

2386.136

Kg/cm²

　P = Design internal GAS Pressure

P =

0.6

MPa

6.118

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.5913

degree

0.44665

radians

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

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9934181

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.1530734

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4319489

　C5 = 22 / φ

C5 =

0.8596670

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4319489

Calculation Result :

　PM = P×R/2

PM =

2347.5

N-mm

23.938

Kg-cm

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

Nθ =

500.389

N-mm

5.103

Kg-cm

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

Nφ =

100.078

N-mm

1.021

Kg-cm

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

ΣNθ =

3077.31

N/mm

3137.983

Kg/cm

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

ΣNφ =

2082.21

N/mm

2123.263

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

15.75

1.575

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

tReq =

11.77

1.177

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

σ_eq =

162.047

MPa

1652.42

Kg/cm²

Calculation Result :

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

Mo =

1,046,072,706

N-mm

10666.973×10³

Kg-cm

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

ΔMo =

377,464,366

N-mm

3849.065×10³

Kg-cm

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

Mc =

526,243,337

N-mm

5366.189×10³

Kg-cm

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

ΔMc =

176,162,442

N-mm

1796.357×10³

Kg-cm

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

VB =

309.819

N/mm

315.927

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

603,943,405

N-mm

6158.509×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

319,651,412

N-mm

3259.537×10³

Kg-cm

　Za = IH / LA × t

Za =

39,961,510

mm³

39.962×10³

cm³

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

IH =

3,350,271,797

mm³

3350.272×10³

cm³

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

VI =

2.4514E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.351823E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1718.668

171.867

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

HB =

80.4

N/mm

81.985

Kg/cm

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

Mks =

57,414,094

N-mm

585.461×10³

Kg-cm

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

Mkm =

28,883,063

N-mm

294.525×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

714,103

mm³

7141.03

cm²

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

IV =

183,950,286

mm³

183.95×10³

cm³

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

KA =

257.596

25.76

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

KB =

510.051

51.005

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

IP =

365.366

N/mm

372.57

Kg/cm

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

　τ_xy =

252.387

N/mm

257.363

Kg/cm

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

S' =

1,756,969

179160.9

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

P' =

50833.599

5183.6

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6760.0

676.0

piDeg=[25.59130479672834] piRad=[0.44665252858432775] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=15650 (cm), Syt=234 MPa, MAWP=0.78 (kg/cm²), HT_UPPCOL = 33800.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

각도 Data						최대 변형에너지 Theory 이론에 의한 검증 by, Effective equivalent Stress(Von-Mises)												ASME DESIN RULE 에 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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	15650.0	0	0	0.6	2347.5							2347.50	2347.50	173.89	< OK	234	10.03	12.54	13.5	2.51	25.69	0	0	0	0
P1	10	15531.1	118.9	0.0012	0.6012	2347.5	6.85	2.27					2354.35	2349.77	174.23	< OK	234	10.05	12.57	13.5	2.52	25.54	0.068	0.023	0.011	0.004
P2	30	14601.6	1048.4	0.0103	0.6103	2347.5	60.82	19.63					2408.32	2367.13	170.57	< OK	234	10.21	12.76	14.0	2.55	27.11	0.608	0.196	0.101	0.033
P3	50	12854.8	2795.2	0.0274	0.6274	2347.5	164.76	49.74					2512.26	2397.24	175.48	< OK	234	10.50	13.12	14.0	2.62	25.01	1.646	0.497	0.274	0.083
P4	66	11007.7	4642.3	0.0455	0.6455	2347.5	279.70	76.54					2627.20	2424.04	174.60	< OK	234	10.82	13.50	14.5	2.68	25.38	2.795	0.765	0.466	0.127
P5	90	7825.0	7825.0	0.0767	0.6767	2347.5	500.39	100.08	309.82	80.40	365.37	252.39	3077.31	2082.21	211.91	< OK	234	11.77	14.15	13.0	2.38	9.44	5	1	0.833	0.167	Column Attached Equator Plate
P5	130	2795.2	12854.8	0.1261	0.7261	2347.5	435.71	550.73					2783.21	2898.23	177.65	< OK	234	12.15	15.18	16.0	3.03	24.08	4.354	5.503	0.726	0.917
P6	150	1048.4	14601.6	0.1432	0.7432	2347.5	539.65	580.84					2887.15	2928.34	176.24	< OK	234	12.43	15.54	16.5	3.11	24.68	5.392	5.804	0.899	0.967
P7	170	118.9	15531.1	0.1523	0.7523	2347.5	593.62	598.19					2941.12	2945.69	178.39	< OK	234	12.58	15.73	16.5	3.15	23.77	5.932	5.977	0.989	0.996
P8	180	0	15650.0	0.1535	0.7535	2347.5	600.47	600.47					2947.97	2947.97	173.41	< OK	234	12.60	15.75	17.0	3.15	25.89	6	6	1	1

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

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 38
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 165102.233
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 15650
MRA(sWt[tid][20][10])= 769.446
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	9	Columns
2. gCol[tid][2] =	Column OD	OD =	812.8	mm
3. gCol[tid][3] =	Column thk	thk =	8.74	mm
4. gCol[tid][4] =	Tank Height	Htank =	10825	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3380	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7445	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	15260	mm
8. gCol[tid][8] =	Brace Angle	BRang =	35.0319	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.818	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

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

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA516-70	t26.5 ~ 28	SHT	38	165.102	201.425	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t28, t11×2853×3380	SHT	9	8.625	9.488	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø812.8×8.74t × 7445L	PCS	9	11.612	11.612	000,000	000,000	3
4	BRACE ( PIPE, θ= 35.0319 deg.)	null	Ø0×0t × 9092L	PCS	18			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA516-70(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA516-70	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				74	185.339	222.524	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=600 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1076.5 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0^o	15656.0	0	0	600.0	600.0	20.02	20.02	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 130.467	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0		600.0	20.02	20.02	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 130.467	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0		600.0	20.02	20.02	26.5	0.7+0.38	0.8281	0.9341			1.0	σeq = 130.467	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5		607.5	20.23	20.24	26.5	0.7+0.38	0.8206	0.9341			1.0	σeq = 132.108	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7		618.7	20.56	20.56	26.5	0.7+0.38	0.8094	0.9341			1.0	σeq = 131.001	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1		638.1	21.31	21.11	26.5	0.7+0.38	0.7900	0.9341			1.0	σeq = 129.578	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8		668.8	21.97	21.98	26.5	0.7+0.38	0.7593	0.9341			1.0	σeq = 130.919	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4		679.4	22.27	22.28	26.5	0.7+0.38	0.7487	0.9341			1.0	σeq = 129.728	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1		685.1	22.43	22.44	26.5	0.7+0.38	0.7430	0.9341			1.0	σeq = 130.806	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8		685.8	22.45	22.46	26.5	0.7+0.38	0.7423	0.9341	0.7423	0.9341	1.0	σeq = 130.944	11 / 11

A) Operating :

　　tReq =

P·R

2·S·E － 0.2·P

＋ CA

B) Test :

　　tReq =

P·Rc

2·St·E － 0.2·Pt

＋ CA

Test Case	escription	Formula	symbol	Min Value	Unit	Hydrostatic Test Condition	Selected
1	Max. Allowable Working Pressue	MAWP = (D.P) = Pg	MAWP =	0.6000	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	0.7423	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	0.9341	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm2(=600 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=965 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
2. Hydrostatic-Test Condition (at Site) MAWP : Hot-Corroded

Segment

Each
Angle

Angle
α

Pset
(Test
Gage
Pressure)

P
=Ps+Pset

1)ttReq
Pg
(Basis)

2)ttReq
MAWP

3)ttReq
MAP
공장수압
시에만사용

tUsed

Pmax
MAWP

Pmax
MAP

No.

deg.

mmH2O

kPa

MPa

0^o

15650.0

965.0

965.0

13.05

16.14

20.31

26.5

0.8281

0.9341

σeq = 213.409

1 / 11

10.0^o

15531.1

118.9

1.2

966.2

13.07

16.16

20.33

26.5

0.8281

0.9341

σeq = 213.824

2 / 11

20.0^o

30.0^o

14601.6

1048.4

10.3

975.3

13.22

16.31

20.48

26.5

0.8281

0.9341

σeq = 217.09

3 / 11

20.0^o

50.0^o

12854.8

2795.2

27.4

992.4

13.50

16.60

20.77

26.5

0.8206

0.9341

σeq = 213.632

4 / 11

16.0^o

66.0^o

11007.7

4642.3

45.5

1010.5

13.81

16.90

21.07

26.5

0.8094

0.9341

σeq = 210.978

5 / 11

24.0^o

90.0^o

7825.0

76.7

1041.7

14.33

17.42

21.59

26.5

0.7900

0.9341

σeq = 211.763

6 / 11

40.0^o

130.0^o

2795.2

12854.8

126.1

1091.1

15.15

18.25

22.42

26.5

0.7593

0.9341

σeq = 218.651

8 / 11

20.0^o

150.0^o

1048.4

14601.6

143.2

1108.2

15.44

18.53

22.70

26.5

0.7487

0.9341

σeq = 215.405

9 / 11

20.0^o

170.0^o

118.9

15531.1

152.3

1117.3

15.59

18.69

22.86

26.5

0.7430

0.9341

σeq = 218.03

10 / 11

10.0^o

180.0^o

15650.0

153.5

1118.5

15.61

18.71

22.88

26.5

0.7423

0.9341

σeq = 218.368

11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value
(MPa)

Test Gage
Pressure
(kg/cm2)

Hydro. Test
Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.6000

at Site

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

Pset(MAWP) =

0.7800

7.9538

CASE 2

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

MAWP =

0.7423

at Site

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

Pset(MAWP) =

0.9650

9.8403

CASE 3

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

MAP =

0.9341

at Shop

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

Pset(MAP) =

1.2143

12.3824

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0^o	15656.0	0	0	15650.0	0	0	23.50	26.5	0.8281	0.9341	111.3584	1 / 11
P1	10.0^o	10.0^o	15537.1	0	0	15531.1	118.9	1.2	23.50	26.5	0.8281	0.9341	111.3584	2 / 11
P2	20.0^o	30.0^o	14607.2	0	0	14601.6	1048.4	10.3	23.50	26.5	0.8281	0.9341	111.3584	3 / 11
P3	20.0^o	50.0^o	12859.7	1223.3	7.5	12854.8	2795.2	27.4	23.50	26.5	0.8206	0.9341	111.3584	4 / 11
P4	16.0^o	66.0^o	11011.9	3071.1	18.7	11007.7	4642.3	45.5	23.50	26.5	0.8094	0.9341	111.3584	5 / 11
P5	24.0^o	90.0^o	7828.0	6255.0	38.1	7825.0	7825.0	76.7	23.50	26.5	0.7900	0.9341	111.3584	6 / 11
P5	40.0^o	130.0^o	2796.3	11286.7	68.8	2795.2	12854.8	126.1	23.50	26.5	0.7593	0.9341	111.3584	8 / 11
P6	20.0^o	150.0^o	1048.8	13034.2	79.4	1048.4	14601.6	143.2	23.50	26.5	0.7487	0.9341	111.3584	9 / 11
P7	20.0^o	170.0^o	118.9	13964.1	85.1	118.9	15531.1	152.3	23.50	26.5	0.7430	0.9341	111.3584	10 / 11
P8	10.0^o	180.0^o	0	14083.0	85.8	0	15650.0	153.5	23.50	26.5	0.7423	0.9341	111.3584	11 / 11

No.

MAWP and Hydrostatic-test gauge setting pressure

symbol

Value
(MPa)

Test Gage
Pressure
(kg/cm2)

Hydro. Test
Location

CASE 1

Design Internal Pressue (Pg = MAWP, BASIS)

MAWP = Pg =

0.6000

at Site

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

Pset(MAWP) =

0.7800

7.9538

CASE 2

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

MAWP =

0.7423

at Site

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

Pset(MAWP) =

0.9650

9.8403

CASE 3

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

MAP =

0.9341

at Shop

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

Pset(MAP) =

1.2143

12.3824

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA516-70

Maximum. Allowable External Pressure

MAEP =

111.3584

1.1355

CS-2

Pe < MAEP, OK

Pe < MAEP

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

● Shell Material	MATL =	SA516-70
- Modulus of Elasticity [SEC. II PART 'D' Table TM-1]	Ey =	200133	MPa
- Minimum Yield Strength [SEC. II PART 'D' Table 1A]	Sy =	260.0	MPa
- Allowable stress at Hydrostatic-test Conditions, Syt = 0.9 × Sy	Syt =	234.0	MPa
- Allowable stress at Test temperature (-12℃~30℃) [Table 1A]	Samb =	138.0	MPa
- Allowable stress at Design temperature (60.0 ℃) [Table 1A]	S =	138.0	MPa
- Lowest Stress Ratio, LSR = Samb / Sd	LSR =	1.0
o Chart For Shell Thk. Under External Pressure (FACTOR A, B CURVE) CS-2 [see Bellow Curve]
Initial thickness for Design External Pressure (after corroded)	tc =	23.5	mm
Outside Radius of tank top head	Ro =	7851.5	mm
Factor A = 0.125 / [Ro / tc]	Factor A =	0.0003741
Factor B : (ASME Sec. II, Part D SUBPART 3 - FIG.CS-2)	Factor B =	37.20554	MPa
Design External Pressure, 　Pe = 1.03323 (kg/cm²)	Pe =	101.3250	kPa
Max. Allowable External Pressure, MAEP = FACTOR B × tc/Ro ×1000	MAEP =	111.3584	kPa
Check : Pe < MAEP			O.K

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0^o	20.02	20.0	16.14	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	20.02	20.0	16.16	20.33	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	20.02	20.0	16.31	20.48	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	20.23	20.2	16.60	20.77	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.56	20.6	16.90	21.07	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	21.31	21.1	17.42	21.59	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	6 / 11
P5	40.0^o	130.0^o	21.97	22.0	18.25	22.42	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	8 / 11
P6	20.0^o	150.0^o	22.27	22.3	18.53	22.70	25.42	26.5	0.7+0.38	#5	20.0	26.5	2731.4	8477.2	4	3,830	15,319	9 / 11
P7	20.0^o	170.0^o	22.43	22.4	18.69	22.86	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	10 / 11
P8	10.0^o	180.0^o	22.45	22.5	18.71	22.88	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	11 / 11

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [1 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 0. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm²(=600 kPa), Pe= 1.01325 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=808.3 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0^o	20.02	24.3	16.90	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	20.02	24.3	16.92	20.34	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	20.02	24.3	17.11	20.53	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	20.23	24.6	17.47	20.88	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.56	25.0	17.85	21.26	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	21.32	25.6	18.50	21.91	25.42	TD90USED	0.7+0.16	#4	64.0	27.5	2731.4	8840.6	18	4,843	87,165	6 / 11
P5	40.0^o	130.0^o	21.97	26.7	19.54	22.95	25.42	27.5	0.7+0.07	#4	64.0	27.5	2731.4	8840.6	18	4,843	87,165	8 / 11
P6	20.0^o	150.0^o	22.27	27.1	19.89	23.31	25.42	28.0	0.7+0.20	#5	20.0	28.0	2731.4	8477.2	4	4,046	16,186	9 / 11
P7	20.0^o	170.0^o	22.43	27.3	20.08	23.50	25.42	28.5	0.7+0.50	#6	30.0	28.5	2731.4	8194.3	3	4,757	14,271	10 / 11
P8	10.0^o	180.0^o	22.45	27.3	20.11	23.52	25.42	28.5	0.7+0.47	#6	30.0	28.5	2731.4	8194.3	3	4,757	14,271	11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 1, teReq = 25.42 mm; Pe :101.33 kPa ≤ Pa = 101.38 kPa = Factor_B / (Ro/tc)*1000 ; Factor_A=0.0625*tc/Rc = 0.0003570; Factor_B = 35.499 MPa

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

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7828

782.8

　L = Design Liquid level

L =

14080

1408.0

　CA = Corrosion Allowance

CA =

3.0

0.3

　Wt = Total Weight at Operating Condition

Wt =

13,279,549

1354137.2

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

S =

138.0

MPa

1407.208

Kg/cm²

　P = Design internal GAS Pressure

P =

0.6

MPa

6.118

Kg/cm²

　SG = Design Specific Gravity

SG =

0.622

0.6215

　γ = Liquid Density

γ =

6.094833E-6

N/mm³

621.5

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.51015

degree

0.44524

radians

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

β =

36.96007

degree

0.64507

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9935776

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.1496619

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4306709

　C5 = 22 / φ

C5 =

0.8624020

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4306709

Calculation Result :

　PM = P×R/2

PM =

2348.4

N-mm

23.947

Kg-cm

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

Nθ =

266.671

N-mm

2.719

Kg-cm

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

Nφ =

31.757

N-mm

0.324

Kg-cm

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

ΣNθ =

2761.52

N/mm

2815.967

Kg/cm

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

ΣNφ =

2147.31

N/mm

2189.647

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

22.46

2.246

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

tReq =

21.31

2.131

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

σ_eq =

123.257

MPa

1256.872

Kg/cm²

Calculation Result :

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

Mo =

665,041,909

N-mm

6781.54×10³

Kg-cm

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

ΔMo =

240,795,336

N-mm

2455.429×10³

Kg-cm

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

Mc =

334,559,798

N-mm

3411.561×10³

Kg-cm

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

ΔMc =

112,331,238

N-mm

1145.46×10³

Kg-cm

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

VB =

198.006

N/mm

201.91

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

383,937,518

N-mm

3915.073×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

203,268,176

N-mm

2072.759×10³

Kg-cm

　Za = IH / LA × t

Za =

45,566,951

mm³

45.567×10³

cm³

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

IH =

3,323,586,510

mm³

3323.587×10³

cm³

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

VI =

2.4129E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.28256E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1714.056

171.406

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

HB =

51.558

N/mm

52.575

Kg/cm

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

Mks =

36,500,735

N-mm

372.204×10³

Kg-cm

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

Mkm =

18,362,269

N-mm

187.243×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

707,956

mm³

7079.563

cm²

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

IV =

181,292,990

mm³

181.293×10³

cm³

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

KA =

256.079

25.608

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

KB =

507.08

50.708

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

IP =

232.843

N/mm

237.434

Kg/cm

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

　τ_xy =

160.674

N/mm

163.842

Kg/cm

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

S' =

1,115,447

113744.0

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

P' =

32091.645

3272.4

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6742.584

674.258

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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	15656.0	0	0	0.6	2348.4							2348.40	2348.40	130.47	< OK	138	20.02	20.02	21.0		5.46	0	0	0	0
P1	10	15537.1	0	0	0.6	2348.4							2348.40	2348.40	130.47	< OK	138	20.02	20.02	21.0		5.46	0	0	0	0
P2	30	14607.2	0	0	0.6	2348.4							2348.40	2348.40	130.47	< OK	138	20.02	20.02	21.0		5.46	0	0	0	0
P3	50	12859.7	1223.3	0.0075	0.6075	2348.4	52.96	5.40					2401.36	2353.80	132.11	< OK	138	20.23	20.24	21.0	0.01	4.27	0.851	0.087	0.142	0.014
P4	66	11011.9	3071.1	0.0187	0.6187	2348.4	128.01	18.51					2476.41	2366.91	131.00	< OK	138	20.56	20.56	21.5		5.07	2.057	0.297	0.343	0.05
P5	90	7828.0	6255.0	0.0381	0.6381	2348.4	266.67	31.76	198.01	51.56	232.84	160.67	2761.52	2147.31	129.58	< OK	138	21.31	21.11	22.5	-0.20	6.10	4.284	0.51	0.714	0.085	Column Attached Equator Plate
P5	130	2796.3	11286.7	0.0688	0.6688	2348.4	233.48	305.02					2581.88	2653.42	130.92	< OK	138	21.97	21.98	23.0	0.01	5.13	3.751	4.9	0.625	0.817
P6	150	1048.8	13034.2	0.0794	0.6794	2348.4	298.13	323.74					2646.53	2672.14	129.73	< OK	138	22.27	22.28	23.5	0.01	5.99	4.789	5.201	0.798	0.867
P7	170	118.9	13964.1	0.0851	0.6851	2348.4	331.69	334.54					2680.09	2682.94	130.81	< OK	138	22.43	22.44	23.5	0.01	5.21	5.329	5.374	0.888	0.896
P8	180	0	14083.0	0.0858	0.6858	2348.4	335.95	335.95					2684.35	2684.35	130.94	< OK	138	22.45	22.46	23.5	0.01	5.11	5.397	5.397	0.9	0.9

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

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

15650

1565.0

　R = Inside Radius in Corroded Condition

R =

7825

782.5

　L = Hydrostatic-test Water Level

L =

15650

1565.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

20,659,047

2106636.5

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

S =

234.0

MPa

2386.136

Kg/cm²

　P = Design internal GAS Pressure

P =

0.6

MPa

6.118

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

812.8

81.28

　N = Number of Support Column

N =

9.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

25.5913

degree

0.44665

radians

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

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9934181

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.1530734

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.4319489

　C5 = 22 / φ

C5 =

0.8596670

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.4319489

Calculation Result :

　PM = P×R/2

PM =

2347.5

N-mm

23.938

Kg-cm

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

Nθ =

500.389

N-mm

5.103

Kg-cm

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

Nφ =

100.078

N-mm

1.021

Kg-cm

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

ΣNθ =

3074.71

N/mm

3135.332

Kg/cm

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

ΣNφ =

2086.35

N/mm

2127.485

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

12.6

1.26

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

tReq =

11.76

1.176

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

σ_eq =

203.92

MPa

2079.405

Kg/cm²

Calculation Result :

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

Mo =

1,034,211,828

N-mm

10546.026×10³

Kg-cm

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

ΔMo =

373,184,492

N-mm

3805.423×10³

Kg-cm

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

Mc =

520,276,536

N-mm

5305.344×10³

Kg-cm

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

ΔMc =

174,165,027

N-mm

1775.989×10³

Kg-cm

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

VB =

306.306

N/mm

312.345

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

597,095,603

N-mm

6088.681×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

316,027,050

N-mm

3222.579×10³

Kg-cm

　Za = IH / LA × t

Za =

32,164,142

mm³

32.164×10³

cm³

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

IH =

3,350,271,797

mm³

3350.272×10³

cm³

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

VI =

2.4514E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

7.351823E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

1718.668

171.867

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

HB =

79.489

N/mm

81.056

Kg/cm

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

Mks =

56,763,105

N-mm

578.823×10³

Kg-cm

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

Mkm =

28,555,573

N-mm

291.186×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

714,103

mm³

7141.03

cm²

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

IV =

183,950,286

mm³

183.95×10³

cm³

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

KA =

257.596

25.76

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

KB =

510.051

51.005

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

IP =

361.224

N/mm

368.346

Kg/cm

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

　τ_xy =

249.525

N/mm

254.445

Kg/cm

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

S' =

1,737,047

177129.5

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

P' =

50257.224

5124.8

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

6760.0

676.0

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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	15650.0	0	0	0.6	2347.5							2347.50	2347.50	213.41	< OK	234	10.03	10.03	11.0		8.80	0	0	0	0
P1	10	15531.1	118.9	0.0012	0.6012	2347.5	6.85	2.27					2354.35	2349.77	213.82	< OK	234	10.05	10.05	11.0		8.62	0.068	0.023	0.011	0.004
P2	30	14601.6	1048.4	0.0103	0.6103	2347.5	60.82	19.63					2408.32	2367.13	217.09	< OK	234	10.21	10.21	11.0		7.23	0.608	0.196	0.101	0.033
P3	50	12854.8	2795.2	0.0274	0.6274	2347.5	164.76	49.74					2512.26	2397.24	213.63	< OK	234	10.50	10.49	11.5	-0.01	8.70	1.646	0.497	0.274	0.083
P4	66	11007.7	4642.3	0.0455	0.6455	2347.5	279.70	76.54					2627.20	2424.04	210.98	< OK	234	10.82	10.80	12.0	-0.02	9.84	2.795	0.765	0.466	0.127
P5	90	7825.0	7825.0	0.0767	0.6767	2347.5	500.39	100.08	306.31	79.49	361.22	249.52	3074.71	2086.35	211.76	< OK	234	11.76	11.32	13.0	-0.44	9.50	5	1	0.833	0.167	Column Attached Equator Plate
P5	130	2795.2	12854.8	0.1261	0.7261	2347.5	435.71	550.73					2783.21	2898.23	218.65	< OK	234	12.15	12.14	13.0	-0.01	6.56	4.354	5.503	0.726	0.917
P6	150	1048.4	14601.6	0.1432	0.7432	2347.5	539.65	580.84					2887.15	2928.34	215.40	< OK	234	12.43	12.43	13.5		7.95	5.392	5.804	0.899	0.967
P7	170	118.9	15531.1	0.1523	0.7523	2347.5	593.62	598.19					2941.12	2945.69	218.03	< OK	234	12.58	12.58	13.5		6.82	5.932	5.977	0.989	0.996
P8	180	0	15650.0	0.1535	0.7535	2347.5	600.47	600.47					2947.97	2947.97	218.37	< OK	234	12.60	12.60	13.5		6.68	6	6	1	1

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

● WEIGHT SUMMARY SPH_IHI_SHEAR.jsp CALC_SPH_COL_BRA_ACCY_WEIGHT() BRACE AXIAL-FORCE DESIGN DATA
MRA(sWt[tid][20][1])= 0
MRA(sWt[tid][20][2])= 0
MRA(sWt[tid][20][3])= 38
MRA(sWt[tid][20][4])= 0
MRA(sWt[tid][20][5])= 160064.008
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 15650
MRA(sWt[tid][20][10])= 769.446
UPPER COLUMN : cbMatl[tid][0] = null
LOWER COLUMN : cbMatl[tid][1] = null
BRACE cbMatl[tid][2] = null

1. gCol[tid][1] =	Column Q'ty	Nc =	9	Columns
2. gCol[tid][2] =	Column OD	OD =	812.8	mm
3. gCol[tid][3] =	Column thk	thk =	8.74	mm
4. gCol[tid][4] =	Tank Height	Htank =	10825	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	3380	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	7445	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	15260	mm
8. gCol[tid][8] =	Brace Angle	BRang =	35.0319	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	12.818	deg
10. gCol[tid][10] =	Column CA	CA =	0	mm
11. gCol[tid][11] =	Brace OD	BR_OD =	0	mm
12. gCol[tid][12] =	Brace Thk	BR_Thk =	0	mm
13. gCol[tid][13] =	Brace CA	BR_CA =	0	mm

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

F0	F1	F2	F3	F4	F5	F6	F7	F8	F9	F10
No.	Description	Main Material	Thk. and Size	Unit	QTY	Net Wt kg	Gross Wt kg	자재비	제작비	No
1	SHELL PLATE	SA516-70	t26.5 ~ 26.5	SHT	38	160.064	195.278	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t26.5, t11×2853×3380	SHT	9	8.555	9.411	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø812.8×8.74t × 7445L	PCS	9	11.612	11.612	000,000	000,000	3
4	BRACE ( PIPE, θ= 35.0319 deg.)	null	Ø0×0t × 9092L	PCS	18			000,000	000,000	4
5	COLUMN ACC'Y (PLATE)	A36 OR SS400	-	LOT				000,000	000,000	5
6	BASE PLATE & ANCHOR BOLT (NO SITE PWHT = NO SLIDEING PLATE)	By SPEC.	SEE. Bellow TABLE 4)	LOT				000,000	000,000	6
7	NOZZLE & MANHOLE(DIP. PIPE)	Forging	Assumed Qty : 19	19				000,000	000,000	7
8	ROOF PLATFORM & STRINGER	CLIP:SA516-70(OR CS)	PLATE & SHAPE	LOT				000,000	000,000	8
9	WATER SPRAY (Only Proposal)	By SPEC.	PIPE & ACC'Y	15				000,000	000,000	9
10	INTERNAL LADDER (Only Proposal)	SA516-70	PLATE & SHAPE	LOT				000,000	000,000	10
11	INSULATION (Only Proposal)	By SPEC.	-	LOT				000,000	000,000	11
12	GRAND TOTAL				74	180.231	216.301	000,000	000,000	12

]CalcRpt[i][0]=[null

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 25200 mm, CA = 1.5 mm, SG = 0.59, Pg= 8.335653 kg/cm2(=833.565 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1549.4 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 68 ℃, Sd = 230 MPa, St = 394.25 MPa, Samb = 230 MPa, LSR = Samb/Sd = 1.0, Ft = 550 MPa, Fy = 415 MPa
1. Design (Operating) Condition

Segment	Each Angle	Angle α	H	Hs	Ps	Pg	P =Ps+Pg	tShear	tdReq	tUsed	Forming Margin 0.7+α	Pmax MAWP	Pmax MAP	Min.MAWP 찾기	MinMAP 찾기	LSR=Sa/S
No.	deg.	deg.	mm	mmH2O	kPa	kPa	kPa	mm	mm	mm	mm	MPa	MPa	MPa	MPa	LSR
	0	0^o	25203.0	0	0	833.6	833.6	24.34	24.36	35.5	0.7+0.44	1.2395	1.2942			1.0	σeq = 218.846	1 / 13
P1	6.4^o	6.4^o	25124.5	0	0		833.6	24.34	24.36	35.5	0.7+0.44	1.2395	1.2942			1.0	σeq = 218.846	2 / 13
P2	12.8^o	19.2^o	24502.1	0	0		833.6	24.34	24.36	35.5	0.7+0.44	1.2395	1.2942			1.0	σeq = 218.846	3 / 13
P3	12.8^o	32.0^o	23288.2	0	0		833.6	24.34	24.36	35.5	0.7+0.44	1.2395	1.2942			1.0	σeq = 218.846	4 / 13
P4	9.5^o	41.5^o	22039.5	0	0		833.6	24.34	24.36	35.5	0.7+0.44	1.2395	1.2942			1.0	σeq = 218.846	5 / 13
P5	45.5^o	87.0^o	13261.0	7006.5	40.5		874.1	25.50	25.47	35.5	0.7+0.44	1.1990	1.2942			1.0	σeq = 220.843	6 / 13
P6	3.0^o	90.0^o	12601.5	7666.0	44.4		878.0	25.54	25.58	35.5	0.7+0.44	1.1951	1.2942			1.0	σeq = 221.2	7 / 13
P6	48.5^o	138.5^o	3163.5	17104.0	99.0		932.6	27.05	27.07	35.5	0.7+0.44	1.1405	1.2942			1.0	σeq = 221.765	9 / 13
P7	9.5^o	148.0^o	1914.8	18352.7	106.2		939.8	27.25	27.27	35.5	0.7+0.44	1.1333	1.2942			1.0	σeq = 219.322	10 / 13
P8	12.8^o	160.8^o	700.9	19566.6	113.2		946.8	27.44	27.46	35.5	0.7+0.44	1.1263	1.2942			1.0	σeq = 220.95	11 / 13
P9	12.8^o	173.6^o	78.5	20189.0	116.8		950.4	27.54	27.56	35.5	0.7+0.44	1.1227	1.2942			1.0	σeq = 221.789	12 / 13
P10	6.4^o	180.0^o	0	20267.5	117.3		950.9	27.55	27.58	35.5	0.7+0.44	1.1222	1.2942	1.1222	1.2942	1.0	σeq = 221.895	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 =	0.8336	MPa	At Site (Hot & Corroded)	Selected
2	Max. Allowable Working Pressue	MAWP = CalcMAWP(Each Shell)	MAWP =	1.1222	MPa	At Site (Hot & Corroded)	N/A
3	Max. Allowable Pressue	MAP = CalcMAP(Each Shell)	MAP =	1.2942	MPa	At Shop ( New & Cold )	N/A

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 2, Di = 25200 mm, CA = 1.5 mm, SG = 0.59, Pg= 8.335653 kg/cm2(=833.565 kPa), Pe= 1.01325 kg/cm2(=101.325 kPa), 수압테스트압력 GsetMAWP=1402.8 kPa
Material : SA537-CL2, EXTERNAL CHART NO. [CS-4], DTEMP = 68 ℃, 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

Pset
(Test
Gage
Pressure)

P
=Ps+Pset

1)ttReq
Pg
(Basis)

2)ttReq
MAWP

3)ttReq
MAP
공장수압
시에만사용

tUsed

Pmax
MAWP

Pmax
MAP

No.

deg.

mmH2O

kPa

MPa

0^o

25200.0

1402.8

1402.8

16.66

22.44

25.88

35.5

1.2395

1.2942

σeq = 362.185

1 / 13

6.4^o

25121.5

78.5

0.8

1403.6

16.67

22.45

25.89

35.5

1.2395

1.2942

σeq = 362.519

2 / 13

12.8^o

19.2^o

24499.1

700.9

6.9

1409.7

16.77

22.55

25.99

35.5

1.2395

1.2942

σeq = 365.18

3 / 13

12.8^o

32.0^o

23285.4

1914.6

18.8

1421.6

16.96

22.74

26.18

35.5

1.2395

1.2942

σeq = 370.414

4 / 13

9.5^o

41.5^o

22036.8

3163.2

31.0

1433.8

17.16

22.93

26.37

35.5

1.2395

1.2942

σeq = 363.333

5 / 13

45.5^o

87.0^o

13259.4

11940.6

117.1

1519.9

18.54

24.31

27.75

35.5

1.1990

1.2942

σeq = 377.92

6 / 13

3.0^o

90.0^o

12600.0

123.6

1526.4

18.64

24.42

27.86

35.5

1.1951

1.2942

σeq = 374.196

7 / 13

48.5^o

138.5^o

3163.2

22036.8

216.1

1618.9

20.12

25.90

29.34

35.5

1.1405

1.2942

σeq = 367.53

9 / 13

9.5^o

148.0^o

1914.6

23285.4

228.4

1631.2

20.32

26.09

29.54

35.5

1.1333

1.2942

σeq = 371.729

10 / 13

12.8^o

160.8^o

700.9

24499.1

240.3

1643.1

20.51

26.28

29.73

35.5

1.1263

1.2942

σeq = 375.855

11 / 13

12.8^o

173.6^o

78.5

25121.5

246.4

1649.2

20.61

26.38

29.82

35.5

1.1227

1.2942

σeq = 367.769

12 / 13

P10

6.4^o

180.0^o

25200.0

247.1

1649.9

20.62

26.39

29.84

35.5

1.1222

1.2942

σeq = 368.031

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 =

0.8336

at Site

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

Pset(MAWP) =

1.0420

10.6250

CASE 2

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

MAWP =

1.1222

at Site

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

Pset(MAWP) =

1.4028

14.3046

CASE 3

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

MAP =

1.2942

at Shop

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

Pset(MAP) =

1.6178

16.4970

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	H Liquid Level	Hd	Ps	Ht Test Water Level	Ht	Pst	tc = tUsed - CA	tUsed	Pmax MAWP	Pmax MAP	MEP
No.	deg.	deg.	mm	mmH2O	kPa	mm	H2O	kPa	mm	mm	MPa	MPa	kPa
	0	0^o	25203.0	0	0	25200.0	0	0	34.00	35.5	1.2395	1.2942	108.4495	1 / 13
P1	6.4^o	6.4^o	25124.5	0	0	25121.5	78.5	0.8	34.00	35.5	1.2395	1.2942	108.4495	2 / 13
P2	12.8^o	19.2^o	24502.1	0	0	24499.1	700.9	6.9	34.00	35.5	1.2395	1.2942	108.4495	3 / 13
P3	12.8^o	32.0^o	23288.2	0	0	23285.4	1914.6	18.8	34.00	35.5	1.2395	1.2942	108.4495	4 / 13
P4	9.5^o	41.5^o	22039.5	0	0	22036.8	3163.2	31.0	34.00	35.5	1.2395	1.2942	108.4495	5 / 13
P5	45.5^o	87.0^o	13261.0	7006.5	40.5	13259.4	11940.6	117.1	34.00	35.5	1.1990	1.2942	108.4495	6 / 13
P6	3.0^o	90.0^o	12601.5	7666.0	44.4	12600.0	12600.0	123.6	34.00	35.5	1.1951	1.2942	108.4495	7 / 13
P6	48.5^o	138.5^o	3163.5	17104.0	99.0	3163.2	22036.8	216.1	34.00	35.5	1.1405	1.2942	108.4495	9 / 13
P7	9.5^o	148.0^o	1914.8	18352.7	106.2	1914.6	23285.4	228.4	34.00	35.5	1.1333	1.2942	108.4495	10 / 13
P8	12.8^o	160.8^o	700.9	19566.6	113.2	700.9	24499.1	240.3	34.00	35.5	1.1263	1.2942	108.4495	11 / 13
P9	12.8^o	173.6^o	78.5	20189.0	116.8	78.5	25121.5	246.4	34.00	35.5	1.1227	1.2942	108.4495	12 / 13
P10	6.4^o	180.0^o	0	20267.5	117.3	0	25200.0	247.1	34.00	35.5	1.1222	1.2942	108.4495	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 =

0.8336

at Site

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

Pset(MAWP) =

1.0420

10.6250

CASE 2

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

MAWP =

1.1222

at Site

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

Pset(MAWP) =

1.4028

14.3046

CASE 3

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

MAP =

1.2942

at Shop

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

Pset(MAP) =

1.6178

16.4970

No.

MAEP and performance in vacuum

symbol

Value
kPa

Value
kg/cm2

Material
Chart No.

Design External Pressure

Pe =

101.3250

SA537-CL2

Maximum. Allowable External Pressure

MAEP =

108.4495

1.1059

CS-4

Pe < MAEP, OK

Pe < MAEP

This tank is safe in full vacuum(1 atm = 101.325 kPa) condition.
Full Vacuum(1 atm = 101.325 kPa) < MAEP(MinMAEP=108.4495 kPa)

S-Tank Engineering	AAA Spherical Tank Calculation [3 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 2. V-1110A/B	Rev. No.	[AAA4]

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0^o	24.34	24.4	22.44	25.88	34.36	35.5	0.7+0.44	#1	19.2	35.5	2814.9	8444.6	3	6,293	18,879	1 / 13
P1	6.4^o	6.4^o	24.34	24.4	22.45	25.89	34.36	35.5	0.7+0.44									2 / 13
P2	12.8^o	19.2^o	24.34	24.4	22.55	25.99	34.36	35.5	0.7+0.44									3 / 13
P3	12.8^o	32.0^o	24.34	24.4	22.74	26.18	34.36	35.5	0.7+0.44	#2	12.8	35.5	2814.9	9642.7	4	5,840	23,361	4 / 13
P4	9.5^o	41.5^o	24.34	24.4	22.93	26.37	34.36	35.5	0.7+0.44	#3	9.5	35.5	1873.5	8796.5	9	3,061	27,546	5 / 13
P5	45.5^o	87.0^o	25.50	25.5	24.31	27.75	34.36	35.5	0.7+0.44	#4	45.5	35.5	2823.6	10050.0	28	6,916	193,649	6 / 13
P6	3.0^o	90.0^o	25.54	25.6	24.42	27.86	34.36	35.5	0.7+0.44	#5	51.5	35.5	2827.4	11425.4	28	7,955	222,746	7 / 13
P6	48.5^o	138.5^o	27.05	27.1	25.90	29.34	34.36	35.5	0.7+0.44	#5	51.5	35.5	2827.4	11425.4	28	7,955	222,746	9 / 13
P7	9.5^o	148.0^o	27.25	27.3	26.09	29.54	34.36	35.5	0.7+0.44	#6	9.5	35.5	1873.5	8796.5	9	3,061	27,546	10 / 13
P8	12.8^o	160.8^o	27.44	27.5	26.28	29.73	34.36	35.5	0.7+0.44	#7	12.8	35.5	2814.9	9442.7	4	5,840	23,361	11 / 13
P9	12.8^o	173.6^o	27.54	27.6	26.38	29.82	34.36	35.5	0.7+0.44	#8	19.2	35.5	2814.9	8444.6	3	6,293	18,879	12 / 13
P10	6.4^o	180.0^o	27.55	27.6	26.39	29.84	34.36	35.5	0.7+0.44	#8	19.2	35.5	2814.9	8444.6	3	6,293	18,879	13 / 13

], CalcRpt[i][1]=[

S-Tank Engineering	AAA Spherical Tank Calculation [2 / 3]	Page	[$CP] / [$TP]
		[AAA1]	[AAA2]
	Doc. No. : 1. V-1110A/B	Rev. No.	[AAA4]

Design Code : Div. 1, Di = 15650 mm, CA = 3 mm, SG = 0.6215, Pg= 6.0 kg/cm²(=600 kPa), Pe= 1.01325 kg/cm²(=101.325 kPa), 수압테스트압력 GsetMAWP=965 kPa
Material : SA516-70, EXTERNAL CHART NO. [CS-2], DTEMP = 68 ℃, Sd = 138 MPa, St = 234 MPa, Samb = 138 MPa, LSR = Samb/Sd = 1.0, Ft = 485 MPa, Fy = 260 MPa
4. Summary of Shell Thickness

Segment	Each Angle	Angle α	1.tdReq σeq	2.tdReq ASME CODE	3.ttReq MAWP Site	4.ttReq MAP Shop	5.teReq External Pressure	tUsed 결정 두께	Forming Margin +0.7 mm	PNo	SEG. Angle	tUsed thick.	Width	Height	Qty	Unit WT	Net WT
No.	deg.	deg.	mm	mm	mm	mm	mm	mm	mm	#	deg.	mm	mm	mm	SHT	kg/sht	kg
	0	0^o	20.02	20.0	16.14	20.31	25.42	26.5	0.7+0.38	#1	30.0	26.5	2731.4	8194.3	3	4,423	13,270	1 / 11
P1	10.0^o	10.0^o	20.02	20.0	16.16	20.33	25.42	26.5	0.7+0.38									2 / 11
P2	20.0^o	30.0^o	20.02	20.0	16.31	20.48	25.42	26.5	0.7+0.38									3 / 11
P3	20.0^o	50.0^o	20.23	20.2	16.60	20.77	25.42	26.5	0.7+0.38	#2	20.0	26.5	2731.4	8677.2	4	3,830	15,319	4 / 11
P4	16.0^o	66.0^o	20.56	20.6	16.90	21.07	25.42	26.5	0.7+0.38	#3	16.0	26.5	2495.3	8194.3	6	3,149	18,892	5 / 11
P5	24.0^o	90.0^o	21.31	21.1	17.42	21.59	25.42	TD90USED	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	6 / 11
P5	40.0^o	130.0^o	21.97	22.0	18.25	22.42	25.42	26.5	0.7+0.38	#4	64.0	26.5	2731.4	8840.6	18	4,666	83,996	8 / 11
P6	20.0^o	150.0^o	22.27	22.3	18.53	22.70	25.42	26.5	0.7+0.38	#5	20.0	26.5	2731.4	8477.2	4	3,830	15,319	9 / 11
P7	20.0^o	170.0^o	22.43	22.4	18.69	22.86	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	10 / 11
P8	10.0^o	180.0^o	22.45	22.5	18.71	22.88	25.42	26.5	0.7+0.38	#6	30.0	26.5	2731.4	8194.3	3	4,423	13,270	11 / 11

Spherical tank, / External Pressure calc Result !!
DivNo = 2, teReq = 34.36 mm; Pe :101.33 kPa ≤ Pa = 101.32 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=25200 (cm), Sd=230 MPa, Pg=0.8336 (kg/cm²), HT_UPPCOL = 47900.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=524.463, Nφ=34.475

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

25200

2520.0

　R = Inside Radius in Corroded Condition

R =

12601.5

1260.15

　L = Design Liquid level

L =

20266

2026.6

　CA = Corrosion Allowance

CA =

1.5

0.15

　Wt = Total Weight at Operating Condition

Wt =

48,010,433

4895701.7

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

S =

230.0

MPa

2345.347

Kg/cm²

　P = Design internal GAS Pressure

P =

0.834

MPa

8.5

Kg/cm²

　SG = Design Specific Gravity

SG =

0.59

　γ = Liquid Density

γ =

5.785924E-6

N/mm³

590.0

Kg/m³

　d = Outsdie diameter of Column

d =

1066.8

106.68

　N = Number of Support Column

N =

14.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

22.34352

degree

0.38997

radians

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

β =

52.53041

degree

0.91683

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9994128

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.0148212

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.3801587

　C5 = 22 / φ

C5 =

0.9846257

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.3801587

Calculation Result :

　PM = P×R/2

PM =

5252.305

N-mm

53.559

Kg-cm

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

Nθ =

524.463

N-mm

5.348

Kg-cm

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

Nφ =

34.475

N-mm

0.352

Kg-cm

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

ΣNθ =

5963.75

N/mm

6081.333

Kg/cm

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

ΣNφ =

4902.97

N/mm

4999.638

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

27.58

2.758

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

tReq =

25.54

2.554

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

σ_eq =

204.815

MPa

2088.532

Kg/cm²

Calculation Result :

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

Mo =

1,591,876,926

N-mm

16232.627×10³

Kg-cm

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

ΔMo =

626,437,627

N-mm

6387.886×10³

Kg-cm

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

Mc =

797,947,741

N-mm

8136.802×10³

Kg-cm

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

ΔMc =

301,626,804

N-mm

3075.737×10³

Kg-cm

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

VB =

245.312

N/mm

250.149

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

955,219,973

N-mm

9740.533×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

491,381,902

N-mm

5010.701×10³

Kg-cm

　Za = IH / LA × t

Za =

110,976,170

mm³

110.976×10³

cm³

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

IH =

9,447,028,349

mm³

9447.028×10³

cm³

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

VI =

1.2458E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

4.904588E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

2426.109

242.611

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

HB =

58.329

N/mm

59.479

Kg/cm

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

Mks =

72,212,762

N-mm

736.365×10³

Kg-cm

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

Mkm =

36,197,528

N-mm

369.112×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

1,238,029

mm³

12380.29

cm²

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

IV =

392,425,006

mm³

392.425×10³

cm³

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

KA =

316.976

31.698

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

KB =

629.129

62.913

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

IP =

383.813

N/mm

391.38

Kg/cm

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

　τ_xy =

268.058

N/mm

273.343

Kg/cm

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

S' =

2,641,155

269322.9

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

P' =

72849.193

7428.6

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

9581.14

958.114

piDeg=[22.34351511368315] piRad=[0.3899679052028861] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.1 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=25200 (cm), Sd=230 MPa, Pg=0.8336 (kg/cm²), HT_UPPCOL = 47900.0 (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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	25203.0	0	0	0.8336	5252.31							5252.31	5252.31	218.85	< OK	230	24.34	24.36	25.5	0.02	4.85	0	0	0	0
P1	6.4	25124.5	0	0	0.8336	5252.31							5252.31	5252.31	218.85	< OK	230	24.34	24.36	25.5	0.02	4.85	0	0	0	0
P2	19.2	24502.1	0	0	0.8336	5252.31							5252.31	5252.31	218.85	< OK	230	24.34	24.36	25.5	0.02	4.85	0	0	0	0
P3	32	23288.2	0	0	0.8336	5252.31							5252.31	5252.31	218.85	< OK	230	24.34	24.36	25.5	0.02	4.85	0	0	0	0
P4	41.5	22039.5	0	0	0.8336	5252.31							5252.31	5252.31	218.85	< OK	230	24.34	24.36	25.5	0.02	4.85	0	0	0	0
P5	87	13261.0	7006.5	0.0405	0.8741	5252.31	477.01	33.85					5729.31	5286.15	220.84	< OK	230	25.50	25.47	26.5	-0.03	3.98	3.115	0.221	0.519	0.037
P6	90	12601.5	7666.0	0.0444	0.878	5252.31	524.46	34.48	245.31	58.33	383.81	268.06	5963.75	4902.97	221.20	< OK	230	25.54	25.57	26.5	0.03	3.83	3.425	0.225	0.571	0.038	Column Attached Equator Plate
P6	138.5	3163.5	17104.0	0.0990	0.9326	5252.31	563.11	683.96					5815.42	5936.26	221.76	< OK	230	27.05	27.07	28.0	0.02	3.58	3.677	4.466	0.613	0.744
P7	148	1914.8	18352.7	0.1062	0.9398	5252.31	633.20	704.92					5885.50	5957.22	219.32	< OK	230	27.25	27.27	28.5	0.02	4.64	4.135	4.603	0.689	0.767
P8	160.8	700.9	19566.6	0.1132	0.9468	5252.31	700.41	726.21					5952.72	5978.52	220.95	< OK	230	27.44	27.46	28.5	0.02	3.93	4.574	4.742	0.762	0.79
P9	173.6	78.5	20189.0	0.1168	0.9504	5252.31	734.57	737.44					5986.87	5989.74	221.79	< OK	230	27.54	27.56	28.5	0.02	3.57	4.797	4.816	0.799	0.803
P10	180	0	20267.5	0.1173	0.9509	5252.31	738.87	738.87					5991.17	5991.17	221.90	< OK	230	27.55	27.58	28.5	0.03	3.52	4.825	4.825	0.804	0.804

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=25200 (cm), Syt=394.25 MPa, MAWP=1.042 (kg/cm²), HT_UPPCOL = 48000.0 (mm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)
ABCD, Nθ=1297.42, Nφ=259.484

Description

Symbol

Value

SI
Unit

Value

Metric
Unit

Design Data :

　D = Tank In-Diameter

D =

25200

2520.0

　R = Inside Radius in Corroded Condition

R =

12600

1260.0

　L = Hydrostatic-test Water Level

L =

25200

2520.0

　CA = Corrosion Allowance

CA =

0.0

　Wt = Total Weight at Operating Condition

Wt =

85,473,461

8715867.4

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

S =

394.25

MPa

4020.231

Kg/cm²

　P = Design internal GAS Pressure

P =

0.834

MPa

8.5

Kg/cm²

　SG = Design Specific Gravity

SG =

1.0

　γ = Liquid Density

γ =

9.80665E-6

N/mm³

1000.0

Kg/m³

　d = Outsdie diameter of Column

d =

1066.8

106.68

　N = Number of Support Column

N =

14.0

columns

　Δ = Angle of equator line to column top point

Δ =

0.0

degree

radians

　φ = Angle of upper column from top to base

φ =

22.39269

degree

0.39083

radians

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

β =

0.0

degree

radians

　C1 = cos(Δ + φ/2) / cos(11)

C1 =

0.9993280

　C2 = Factor

C2 =

1.0000000

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

C3 =

1.0169399

　C4 = sin(Δ+φ ) + sin(Δ)

C4 =

0.3809524

　C5 = 22 / φ

C5 =

0.9824636

　C6 = sin(Δ+φ) + sin(Δ)

C6 =

0.3809524

Calculation Result :

　PM = P×R/2

PM =

5251.68

N-mm

53.552

Kg-cm

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

Nθ =

1297.42

N-mm

13.23

Kg-cm

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

Nφ =

259.484

N-mm

2.646

Kg-cm

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

ΣNθ =

6881.0

N/mm

7016.667

Kg/cm

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

ΣNφ =

4829.28

N/mm

4924.495

Kg/cm

　 Equator plate thk by Internal Pressure (by ASME Rules)

tASME =

17.28

1.728

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

tReq =

15.66

1.566

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

σ_eq =

333.742

MPa

3403.221

Kg/cm²

Calculation Result :

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

Mo =

2,833,697,279

N-mm

28895.671×10³

Kg-cm

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

ΔMo =

1,112,010,119

N-mm

11339.347×10³

Kg-cm

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

Mc =

1,420,425,352

N-mm

14484.308×10³

Kg-cm

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

ΔMc =

535,516,480

N-mm

5460.748×10³

Kg-cm

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

VB =

435.074

N/mm

443.652

Kg/cm

　Mvs = Mo × C1 - ΔMo × C3

Mvs =

1,700,945,657

N-mm

17344.819×10³

Kg-cm

　Mvm = Mc × C1 - ΔMc × C3

Mvm =

874,882,792

N-mm

8921.322×10³

Kg-cm

　Za = IH / LA × t

Za =

84,055,443

mm³

84.055×10³

cm³

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

IH =

9,504,219,121

mm³

9504.219×10³

cm³

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

VI =

1.2596E-5

　HI = φ / 2 - ( sinφ/2 × cosφ/2 )

HI =

4.936875E-3

　LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )

LA =

2431.023

243.102

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

HB =

103.171

N/mm

105.205

Kg/cm

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

Mks =

128,535,700

N-mm

1310.699×10³

Kg-cm

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

Mkm =

64,430,089

N-mm

657.004×10³

Kg-cm

　Zv = IV / Max(KA, KB)

Zv =

1,245,846

mm³

12458.464

cm²

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

IV =

396,582,530

mm³

396.583×10³

cm³

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

KA =

318.324

31.832

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

KB =

631.784

63.178

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

IP =

681.886

N/mm

695.33

Kg/cm

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

　τ_xy =

476.558

N/mm

485.954

Kg/cm

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

S' =

4,705,228

479799.7

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

P' =

130,274

13284.2

　D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)

D' =

9600.0

960.0

piDeg=[22.39268780540163] piRad=[0.39082613057544163] SPH_IHI_EQPL_SHEAR.jsp SPH_IHI_EQPL_SHEAR()
1.2 At Hydrostatic-Test Condition Equator Plate(A Point at 90 deg) Stress :
D=25200 (cm), Syt=394.25 MPa, MAWP=1.042 (kg/cm²), HT_UPPCOL = 48000.0 (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	τ_xy	ΣNθ	ΣNφ	σeq	평가	Sd	A)Shear tReq	B)ASME tReq	C)tu= Max(A,B)	A - B 두께차이	Design Margin (%)	Nθ coef.	Nφ coef.	Nθ coef. / 6	Nφ coef. / 6
No	deg.	mm	mm	MPa	MPa	N/mm						N/mm	N/mm	N/mm	MPa	< OK!	MPa	mm	mm	mm	mm	%
	0	25200.0	0	0	0.8336	5251.68							5251.68	5251.68	362.18	< OK	394.25	13.32	13.33	14.5	0.01	8.13	0	0	0	0
P1	6.4	25121.5	78.5	0.0008	0.8344	5251.68	7.28	2.42					5258.96	5254.10	362.52	< OK	394.25	13.33	13.34	14.5	0.01	8.05	0.028	0.009	0.005	0.002
P2	19.2	24499.1	700.9	0.0069	0.8405	5251.68	65.16	21.44					5316.84	5273.12	365.18	< OK	394.25	13.43	13.44	14.5	0.01	7.37	0.251	0.083	0.042	0.014
P3	32	23285.4	1914.6	0.0188	0.8524	5251.68	179.05	57.52					5430.73	5309.20	370.41	< OK	394.25	13.62	13.63	14.5	0.01	6.05	0.69	0.222	0.115	0.037
P4	41.5	22036.8	3163.2	0.0310	0.8646	5251.68	297.81	93.04					5549.49	5344.72	363.33	< OK	394.25	13.82	13.82	15.0		7.84	1.148	0.359	0.191	0.06
P5	87	13259.4	11940.6	0.1171	0.9507	5251.68	1217.29	258.13					6468.97	5509.81	377.92	< OK	394.25	15.34	15.20	16.0	-0.14	4.14	4.691	0.995	0.782	0.166
P6	90	12600.0	12600.0	0.1236	0.9572	5251.68	1297.42	259.48	435.07	103.17	681.89	476.56	6881.00	4829.28	374.20	< OK	394.25	15.66	15.30	16.5	-0.36	5.09	5	1	0.833	0.167	Column Attached Equator Plate
P6	138.5	3163.2	22036.8	0.2161	1.0497	5251.68	1259.09	1463.87					6510.77	6715.55	367.53	< OK	394.25	16.78	16.79	18.0	0.01	6.78	4.852	5.641	0.809	0.94
P7	148	1914.6	23285.4	0.2284	1.062	5251.68	1377.85	1499.38					6629.53	6751.06	371.73	< OK	394.25	16.97	16.98	18.0	0.01	5.71	5.31	5.778	0.885	0.963
P8	160.8	700.9	24499.1	0.2403	1.0739	5251.68	1491.75	1535.46					6743.43	6787.14	375.86	< OK	394.25	17.16	17.17	18.0	0.01	4.67	5.749	5.917	0.958	0.986
P9	173.6	78.5	25121.5	0.2464	1.08	5251.68	1549.62	1554.48					6801.30	6806.16	367.77	< OK	394.25	17.26	17.27	18.5	0.01	6.72	5.972	5.991	0.995	0.998
P10	180	0	25200.0	0.2471	1.0807	5251.68	1556.90	1556.90					6808.58	6808.58	368.03	< OK	394.25	17.27	17.28	18.5	0.01	6.65	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])= 555967.238
MRA(sWt[tid][20][6])= 0
MRA(sWt[tid][20][7])= 0
MRA(sWt[tid][20][8])= 0
MRA(sWt[tid][20][9])= 25200
MRA(sWt[tid][20][10])= 1995.038
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 =	15600	mm
5. gCol[tid][5] =	Upper Column Height	UCHT =	4800	mm
6. gCol[tid][6] =	Lower Column Height	LCHT =	10800	mm
7. gCol[tid][7] =	Column P.C.D	PCD =	24690	mm
8. gCol[tid][8] =	Brace Angle	BRang =	26.9628	deg.
9. gCol[tid][9] =	Brace Angle of Tank center to Brace Center	BRang_CTR =	11.5467	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	t35.5 ~ 35.5	SHT	88	555.967	678.280	000,000	000,000	1
2	UPPER COLUMN(PLATE) (재고확인)	null	t35.5, t17×3651×4800	SHT	14	37.359	41.095	000,000	000,000	2
3	LOWER COLUMN (PIPE)	null	Ø1066.8×15.09t × 10800L	PCS	14	59.174	59.174	000,000	000,000	3
4	BRACE ( PIPE, θ= 26.9628 deg.)	null	Ø0×0t × 12117L	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: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				144	652.500	778.549	000,000	000,000	12

]CODE_CALC() 111 Tank Qty = iMax = [5]
CODE_CALC() 여기에 들어 왔는지 확인 필요 m = [2] j = [5] mySum = [90.0] tUsed = [27.5]mm
]

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

tReq =

P·R

2·S·E － 0.2·P

＋ CA

Div.1 tReq =
PR
2SE － 0.2P
＋ CA

Div.1 tReq =
P·R
2·S·E － 0.2·P
＋ CA

Div.1　 tReq =

P·Rc

2·S·E － 0.2·P

＋ CA

Div.2　 tReq = R · [ EXP(

0.5 · P 　

S · E 　

) － 1 ] ＋ CA

시작시간 = [2024-12-05 09:21:34.0776]
종료시간 = [2024-12-05 09:21:34.0830]

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