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

시작시간 = [2024-12-05 09:33:33.0071]
req=[org.apache.catalina.connector.RequestFacade@13144df0]
res=[org.apache.catalina.connector.ResponseFacade@1a08d159]
conn=[com.mysql.jdbc.JDBC4Connection@3da1b0e]

보물중의보물_ANNALS-2018-1-19.pdf
DESIGN OF THE SPHERICAL LIQUID STORAGE TANKS FOR EARTHQUAKE RESISTANCE
[다운로드]   [사이트 다운로드]   [구형 압력용기의 설계 다운로드]

논문 데이타 (D:21216mm)

SKEE LCO2 (D:29500mm)

[Table 3] Table 3 Variation of the first three sloshing frequencies with respect to the liquid height in a spherical vessel   [출처]
[첨부 Seismic Analysis 논문 PDF]

[Table 4] Variation of the first three sloshing masses with respect to the liquid height in a spherical vessel.   [출처]
The values of ML refer to liquid only, excluding the mass of the container.
[EN 1998-1 EUROCODE Seismic Design / Online calculation]
표 4 구형 용기의 액체 높이에 따른 처음 3개의 슬로싱 질량의 변화. ML 값은 용기의 질량을 제외하고 액체만을 나타냅니다.

Design Data :
1) Tank Dia.(D) = 21216 (mm), DLL(HL) = 0.8042xD = 17061.9 (mm), Htank = 14320 (mm), SG= 0.553, Vnom = π×D³/ 6 = 5000.22(m³)
2) Empty Steel Weight (MSH) = 472.0 (Ton)
3) Tahk Height (GL to Equator) Htank = 14320 (mm)
4) Seismic Coefficients(CS), Peak Ground Acceleration at Ground(PGA) Sa = 0.24 [g], = 4.1667 [Hz], Ag = 2.3536 [m/sec²]
Column SIZE = ø1160x60t-9.2m
Brace SIZE = FB 250x35-8.2m
Column + Brace Stiffeness (스프링 상수) Kbs = 159075.7292 (kg/mm)
Column + Brace Stiffeness (스프링 상수) Kbs = 1,560,000,000 (N/m)
ξi (충격모드 감쇠율 : Damping ratio of Impulssive Mode ) = 2%
ηi (충격모드 감쇠계수 : Damping parameter for design spectrum) 2% damping (Impulssive : 충격) ηi = √[7 / (2+ξi)] = 1.32288 논문 Eqn(42)
ξc (유동모드 감쇠율 : Damping ratio of Convective Mode ) = 1%
ηc (유동모드 감쇠계수 : Damping parameter for design spectrum) 1% damping (Convective : 유동) ηc = √[7 / (2+ξc)] = 1.52753 논문 Eqn(42)

Liquid LVL		[Table 3] Variation of Sloshing frequencies 액요동에 의한 수위별 유동주파수(λ1~4 차모드) 의 변화						[Table 4] Variation of Sloshing masses with respect to the liquid height 액요동에 의한 수위별 유효질량 의 변화
No.	Liquid Level h = e x D (mm)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14
		Liquid Level Parm(%)	Liquid Height Parameter	λ1 = ω1²R/g	λ2 = ω2²R/g	λ3 = ω3²R/g	λ4 = ω4²R/g	Liquid Level Parm(%)	Liquid Height Parameter	Convective MODE 1	Convective MODE 2	Convective MODE 3	Convective MODE 4	Convective Σ(1..4차) Total	Impulsive	Convective + Impulsive
		e	(%)	λ1	λ2	λ3	λ4	e	(%)	Mc1/ML	Mc2/ML	Mc3/ML	Mc4/ML	Mck/ML	Mi/ML	(100%)ML
1	0	0	-1	1	7	17	31	0	-1	1.0	0.0	0.0	0.0	1.0	0.0	1
2	530.4	2.5	-0.95	1.0174	6.7819	15.4456	28.8785	2.5	-0.95	0.98315	0.0001020	0.0000005	0.0	0.98326	0.01674	1
3	1060.8	5	-0.9	1.0347	6.5638	13.8911	26.757	5	-0.9	0.96594	0.0003870	0.0000064	0.0000003	0.96634	0.03366	1
4	2121.6	10	-0.8	1.0723	6.2008	11.8764	17.032	10	-0.8	0.93038	0.001374	0.0000667	0.0000104	0.93184	0.06816	1
5	4243.2	20	-0.6	1.1583	5.6742	9.8543	13.866	20	-0.6	0.85437	0.004341	0.0005155	0.0001406	0.85947	0.14053	1
6	6364.8	30	-0.4	1.2625	5.3683	8.9418	12.421	30	-0.4	0.77117	0.00785	0.0013969	0.0004640	0.78136	0.21864	1
7	8486.4	40	-0.2	1.3924	5.2406	8.5509	11.8	40	-0.2	0.6799	0.011396	0.0025337	0.0009401	0.69619	0.30381	1
8	10608	50	0	1.5602	5.2756	8.5045	11.684	50	0	0.57969	0.014576	0.0037169	0.0014976	0.60594	0.39406	1
9	12729.6	60	0.2	1.7882	5.493	8.7793	12.021	60	0.2	0.46981	0.016874	0.0047195	0.002019	0.49844	0.50156	1
10	14851.2	70	0.4	2.1232	5.9729	9.4763	12.938	70	0.4	0.35009	0.017526	0.0052523	0.0023532	0.3844	0.6156	1
11	16972.8	80	0.6	2.6864	6.9574	10.9566	14.918	80	0.6	0.22222	0.015419	0.0048997	0.0022806	0.26162	0.73838	1
DLL=	17061.9	80.42	0.6084	2.73987	7.0623	11.11633	15.13283	80.42	0.6084	0.21682	0.01516	0.00482	0.00225	0.25593	0.74407	1
12	19094.4	90	0.8	3.9595	9.4551	14.7598	20.033	90	0.8	0.09363	0.009185	0.0031036	0.0014989	0.12608	0.87392	1
13	20155.2	95	0.9	5.7615	13.1776	20.452	27.702	95	0.9	0.03655	0.004387	0.0015438	0.0007635	0.05586	0.94414	1
14	20685.6	97.5	0.95	8.3121	18.5527	28.6891	38.816	97.5	0.95	0.01364	0.001851	0.0006696	0.0003361	0.0181	0.9819	1
15	21216	100	1	0	0	0	0	100	1	0.0	0.0	0.0	0.0	0.0	1.0	1

[Table 5.2] Impulsive, convective, and total force in the nondeformable horizontal cylinder of Design Example I for different positions of the liquid surface
[SI Units / 중량단위 [Ton] / 가속도 [g] 출력
Design Data :
1) Tank Dia.(D) = 21216 (mm), DLL(HL) = 0.8042xD = 17061.9 (mm), Htank = 14320 (mm), SG= 0.553, Vnom = π×D³/ 6 = 5000.22(m³)
2) Empty Steel Weight (MSH) = 472.0 (Ton)
3) Tahk Height (GL to Equator) Htank = 14320 (mm)
4) Seismic Coefficients(CS), Peak Ground Acceleration at Ground(PGA) Sa = 0.24 [g], = 4.1667 [Hz], Ag = 2.3536 [m/sec²]
Column SIZE = ø1160x60t-9.2m
Brace SIZE = FB 250x35-8.2m
Column + Brace Stiffeness (스프링 상수) Kbs = 159075.7292 (kg/mm)
Column + Brace Stiffeness (스프링 상수) Kbs = 1,560,000,000 (N/m)
ξi (충격모드 감쇠율 : Damping ratio of Impulssive Mode ) = 2%
ηi (충격모드 감쇠계수 : Damping parameter for design spectrum) 2% damping (Impulssive : 충격) ηi = √[7 / (2+ξi)] = 1.32288 논문 Eqn(42)
ξc (유동모드 감쇠율 : Damping ratio of Convective Mode ) = 1%
ηc (유동모드 감쇠계수 : Damping parameter for design spectrum) 1% damping (Convective : 유동) ηc = √[7 / (2+ξc)] = 1.52753 논문 Eqn(42)

No.	Liquid Level DLL(h) = e x D(mm)	-2	-1	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	(참고) 21	(참고) 22	(참고) 23	(참고) 24	(참고) 25
		Liquid Level Parm(%)	Liquid Height Parameter	저장율 Vsto/Vnom	액높이 DLL	저장용적 Vsto	MI = ML·MI ML	MC = ML·ΣMck ML	ML=MI+MC 저장액중량	MI=Mi+MSH (충격)	MT=ML+MSH 총운전중량	ωi = √ Kbs MI＋MSH	ωc=√ λc1 · g R	Ti	Tc	Ai(Sai)	Ac(Sac)	Vi=MI·Sai	Vc=MC·Sai	FD = V = √(Vi²+Vc²)	무게중심까지 높이(Mi기준) Xi	무게중심까지 높이(Mc기준) Xc	액 무게중심 Tank 중심까지높이 Xs = Htank	Over Turning Moment Mo	(Without Sloshing) V=Sai x Wo	(Without Sloshing) Mo2=Sai x V x Htank	Base Shear V 감소율 (%)	Over Turning Moment, Mo 감소율 (%)	액무게중심 (단면적기준) hi
		h/D(%)	e=hxD	%	mm	m³	Ton	Ton	Ton	Ton	Ton	[Hz]	[Hz]	sec	sec	[g]	[g]	Ton	Ton	Ton	m	m	m	Ton-m	Ton	Ton-m	(16)/(21)(%)	(20)/(22)(%)	mm
DLL=	17061.9	80.42	0.6084	90.0	17061.9	4500.197	1851.699	636.91	2488.609	2323.699	2960.609	4.1238	0.2533	0.2425	3.94794	0.7937	0.1393	1844.382	88.717	1846.514	6.537	11.855	14.32	15,009	2349.915	33,651	0.786	0.446	9302.4	0.0	0.0	0.0	0.0
1	0	0.0	-1.0	0.0	0.0	0.0	0.0	0.0	0.0	472.0	472.0	9.1498	0.153	0.10929	6.53484	0.6435	0.0841	303.709	0.0	303.709	0.0	0.0	14.32	4,349	303.712	4,349	1.0	1.0	0.0	0.0	0.0	0.0	0.0
2	530.4	2.5	-0.95	0.184	530.4	9.219	0.085	5.013	5.098	472.085	477.098	9.149	0.1544	0.1093	6.47871	0.6435	0.0849	303.778	0.425	303.778	0.199	0.265	14.32	4,349	307.006	4,396	0.989	0.989	317.8	0.0	0.0	0.0	0.0
3	1060.8	5.0	-0.9	0.725	1060.8	36.252	0.675	19.372	20.047	472.675	492.047	9.1433	0.1557	0.10937	6.42433	0.6437	0.0856	304.278	1.658	304.282	0.398	0.532	14.32	4,351	316.744	4,536	0.961	0.959	634.6	0.0	0.0	0.0	0.0
4	2121.6	10.0	-0.8	2.8	2121.6	140.006	5.277	72.146	77.423	477.277	549.423	9.0991	0.1585	0.1099	6.3107	0.6457	0.0871	308.176	6.287	308.24	0.796	1.073	14.32	4,367	354.759	5,080	0.869	0.86	1265.2	0.0	0.0	0.0	0.0
5	4243.2	20.0	-0.6	10.4	4243.2	520.023	40.413	247.16	287.573	512.413	759.573	8.7816	0.1647	0.11387	6.07194	0.6604	0.0906	338.376	22.383	339.116	1.591	2.212	14.32	4,506	501.588	7,183	0.676	0.627	2513.0	0.0	0.0	0.0	0.0
6	6364.8	30.0	-0.4	21.6	6364.8	1080.048	130.586	466.681	597.267	602.586	1069.267	8.0979	0.1719	0.12349	5.81593	0.6959	0.0945	419.318	44.124	421.633	2.387	3.469	14.32	4,923	744.066	10,655	0.567	0.462	3739.4	0.0	0.0	0.0	0.0
7	8486.4	40.0	-0.2	35.2	8486.4	1760.078	295.705	677.618	973.323	767.705	1445.323	7.1744	0.1806	0.13938	5.53799	0.7545	0.0993	579.256	67.287	583.151	3.182	4.87	14.32	5,819	1090.535	15,617	0.535	0.373	4939.4	0.0	0.0	0.0	0.0
8	10608	50.0	0.0	50.0	10608.0	2500.11	544.812	837.749	1382.561	1016.812	1854.561	6.2339	0.1911	0.16041	5.23176	0.7937	0.1051	807.071	88.058	811.86	3.978	6.418	14.32	7,108	1472.011	21,079	0.552	0.337	6105.8	0.0	0.0	0.0	0.0
9	12729.6	60.0	0.2	64.8	12729.6	3240.143	898.695	893.104	1791.799	1370.695	2263.799	5.3692	0.2046	0.18625	4.88682	0.7937	0.1125	1087.957	100.497	1092.589	4.774	8.1	14.32	8,808	1796.842	25,731	0.608	0.342	7228.1	0.0	0.0	0.0	0.0
10	14851.2	70.0	0.4	78.4	14851.2	3920.173	1334.532	833.324	2167.856	1806.532	2639.856	4.6769	0.223	0.21382	4.48479	0.7937	0.1226	1433.892	102.183	1437.528	5.569	9.893	14.32	11,309	2095.323	30,005	0.686	0.377	8290.1	0.0	0.0	0.0	0.0
11	16972.8	80.0	0.6	89.6	16972.8	4480.197	1829.373	648.176	2477.549	2301.373	2949.549	4.1437	0.2508	0.24133	3.98705	0.7937	0.1379	1826.661	89.401	1828.847	6.492	11.775	14.32	14,829	2341.135	33,525	0.781	0.442	9264.1	0.0	0.0	0.0	0.0
12	19094.4	90.0	0.8	97.2	19094.4	4860.214	2348.833	338.865	2687.698	2820.833	3159.698	3.7428	0.3045	0.26718	3.28411	0.7937	0.1674	2238.97	56.742	2239.689	7.553	13.724	14.32	19,462	2507.941	35,914	0.893	0.542	10095.1	0.0	0.0	0.0	0.0
13	20155.2	95.0	0.9	99.275	20155.2	4963.969	2591.735	153.34	2745.075	3063.735	3217.075	3.5913	0.3673	0.27845	2.7225	0.7937	0.202	2431.768	30.973	2431.965	8.083	14.718	14.32	21,997	2553.481	36,566	0.952	0.602	10418.0	0.0	0.0	0.0	0.0
14	20685.6	97.5	0.95	99.816	20685.6	4991.001	2710.068	49.956	2760.024	3182.068	3232.024	3.5239	0.4412	0.28377	2.26663	0.7937	0.2426	2525.692	12.12	2525.721	8.348	15.219	14.32	23,323	2565.34	36,736	0.985	0.635	10539.0	0.0	0.0	0.0	0.0
15	21216	100.0	1.0	100.0	21216.0	5000.22	2765.122	0.0	2765.122	3237.122	3237.122	3.4938	0.0	0.28622	0.0	0.7937	0.24	2569.39	0.0	2569.39	8.614	15.722	14.32	24,270	2569.389	36,794	1.0	0.66	10608.0	0.0	0.0	0.0	0.0

[Table 5.3] Impulsive, convective, and total force in the nondeformable horizontal cylinder of Design Example I for different positions of the liquid surface
Design Data :
1) Tank Dia.(D) = 21216 (mm), DLL(HL) = 0.8042xD = 17061.9 (mm), Htank = 14320 (mm), SG= 0.553, Vnom = π×D³/ 6 = 5000.22(m³)
2) Empty Steel Weight (MSH) = 472.0 (Ton)
3) Tahk Height (GL to Equator) Htank = 14320 (mm)
4) Seismic Coefficients(CS), Peak Ground Acceleration at Ground(PGA) Sa = 0.24 [g], = 4.1667 [Hz], Ag = 2.3536 [m/sec²]

No.	Liquid Level DLL(h) = e x D(mm)	-2	-1	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	(참고) 21	(참고) 22	(참고) 23	(참고) 24	(참고) 25
		Liquid Level Parm(%)	Liquid Height Parameter	저장율 Vsto/Vnom	액높이 DLL	저장용적 Vsto	MI = ML·MI ML	MC = ML·ΣMck ML	ML=MI+MC 저장액중량	MI=Mi+MSH (충격)	MT=ML+MSH 총운전중량	ωi = √ Kbs MI＋MSH	ωc=√ λc1 · g R	Ti	Tc	Ai(Sai)	Ac(Sac)	Vi=MI·Sai	Vc=MC·Sai	FD = V = √(Vi²+Vc²)	무게중심까지 높이(Mi기준) Xi	무게중심까지 높이(Mc기준) Xc	액 무게중심 Tank 중심까지높이 Xs = Htank	Over Turning Moment Mo	(Without Sloshing) V=Sai x Wo	(Without Sloshing) Mo2=Sai x V x Htank	Base Shear V 감소율 (%)	Over Turning Moment, Mo 감소율 (%)	액무게중심 (단면적기준) hi
		h/D(%)	e=hxD	%	mm	m³	Ton	Ton	Ton	Ton	Ton	rad/sec	rad/sec	sec	sec	m/sec²	m/sec²	MN	MN	MN	m	m	m	MN-m	MN	MN-m	(16)/(21)(%)	(20)/(22)(%)	mm
1	0	0.0	-1.0	0.0	0.0	0.0	0.0	0.0	0.0	472.0	472.0	57.48987	0.96149	0.10929	6.53484	6.3101	0.8252	2.97837	0.0	2.97837	0.0	0.0	14.32	42,650	2.9784	42,650	1.0	1.0	0.0	0.0	0.0	0.0	0.0
2	530.4	2.5	-0.95	0.184	530.4	9.219	0.085	5.013	5.098	472.085	477.098	57.48469	0.96982	0.1093	6.47871	6.3104	0.8324	2.97905	0.00417	2.97905	0.199	0.265	14.32	42,652	3.0107	43,113	0.989	0.989	317.8	0.0	0.0	0.0	0.0
3	1060.8	5.0	-0.9	0.725	1060.8	36.252	0.675	19.372	20.047	472.675	492.047	57.4488	0.97803	0.10937	6.42433	6.3129	0.8394	2.98395	0.01626	2.98399	0.398	0.532	14.32	42,671	3.1062	44,481	0.961	0.959	634.6	0.0	0.0	0.0	0.0
4	2121.6	10.0	-0.8	2.8	2121.6	140.006	5.277	72.146	77.423	477.277	549.423	57.17117	0.99564	0.1099	6.3107	6.3321	0.8545	3.02217	0.06165	3.0228	0.796	1.073	14.32	42,826	3.479	49,819	0.869	0.86	1265.2	0.0	0.0	0.0	0.0
5	4243.2	20.0	-0.6	10.4	4243.2	520.023	40.413	247.16	287.573	512.413	759.573	55.17626	1.03479	0.11387	6.07194	6.4759	0.8881	3.31834	0.2195	3.32559	1.591	2.212	14.32	44,190	4.9189	70,439	0.676	0.627	2513.0	0.0	0.0	0.0	0.0
6	6364.8	30.0	-0.4	21.6	6364.8	1080.048	130.586	466.681	597.267	602.586	1069.267	50.88067	1.08034	0.12349	5.81593	6.8241	0.9272	4.11211	0.43271	4.13481	2.387	3.469	14.32	48,275	7.2968	104,490	0.567	0.462	3739.4	0.0	0.0	0.0	0.0
7	8486.4	40.0	-0.2	35.2	8486.4	1760.078	295.705	677.618	973.323	767.705	1445.323	45.07805	1.13456	0.13938	5.53799	7.3994	0.9738	5.68056	0.65986	5.71876	3.182	4.87	14.32	57,066	10.6945	153,146	0.535	0.373	4939.4	0.0	0.0	0.0	0.0
8	10608	50.0	0.0	50.0	10608.0	2500.11	544.812	837.749	1382.561	1016.812	1854.561	39.16895	1.20097	0.16041	5.23176	7.7838	1.0308	7.91466	0.86355	7.96163	3.978	6.418	14.32	69,701	14.4355	206,717	0.552	0.337	6105.8	0.0	0.0	0.0	0.0
9	12729.6	60.0	0.2	64.8	12729.6	3240.143	898.695	893.104	1791.799	1370.695	2263.799	33.73587	1.28574	0.18625	4.88682	7.7838	1.1035	10.66922	0.98554	10.71464	4.774	8.1	14.32	86,376	17.621	252,332	0.608	0.342	7228.1	0.0	0.0	0.0	0.0
10	14851.2	70.0	0.4	78.4	14851.2	3920.173	1334.532	833.324	2167.856	1806.532	2639.856	29.38593	1.401	0.21382	4.48479	7.7838	1.2025	14.06168	1.00207	14.09734	5.569	9.893	14.32	110,904	20.5481	294,249	0.686	0.377	8290.1	0.0	0.0	0.0	0.0
11	16972.8	80.0	0.6	89.6	16972.8	4480.197	1829.373	648.176	2477.549	2301.373	2949.549	26.03567	1.5759	0.24133	3.98705	7.7838	1.3526	17.91343	0.87672	17.93487	6.492	11.775	14.32	145,421	22.9587	328,769	0.781	0.442	9264.1	0.0	0.0	0.0	0.0
DLL=	17061.9	80.42	0.6084	90.0	17061.9	4500.197	1851.699	636.91	2488.609	2323.699	2960.609	25.9103	1.59151	0.2425	3.94794	7.7838	1.366	18.08721	0.87002	18.10812	6.537	11.855	14.32	147,192	23.0448	330,001	0.786	0.446	9302.4	0.0	0.0	0.0	0.0
12	19094.4	90.0	0.8	97.2	19094.4	4860.214	2348.833	338.865	2687.698	2820.833	3159.698	23.51655	1.91321	0.26718	3.28411	7.7838	1.6421	21.9568	0.55645	21.96385	7.553	13.724	14.32	190,854	24.5945	352,193	0.893	0.542	10095.1	0.0	0.0	0.0	0.0
13	20155.2	95.0	0.9	99.275	20155.2	4963.969	2591.735	153.34	2745.075	3063.735	3217.075	22.56507	2.30787	0.27845	2.7225	7.7838	1.9808	23.8475	0.30374	23.84943	8.083	14.718	14.32	215,720	25.0411	358,588	0.952	0.602	10418.0	0.0	0.0	0.0	0.0
14	20685.6	97.5	0.95	99.816	20685.6	4991.001	2710.068	49.956	2760.024	3182.068	3232.024	22.14153	2.77204	0.28377	2.26663	7.7838	2.3792	24.76858	0.11886	24.76887	8.348	15.219	14.32	228,716	25.1574	360,254	0.985	0.635	10539.0	0.0	0.0	0.0	0.0
15	21216	100.0	1.0	100.0	21216.0	5000.22	2765.122	0.0	2765.122	3237.122	3237.122	21.95244	0.0	0.28622	0.0	7.7838	2.3536	25.19711	0.0	25.19711	8.614	15.722	14.32	238,011	25.1971	360,823	1.0	0.66	10608.0	0.0	0.0	0.0	0.0

1. Tabk Dia.(D) =21216 (mm), DLL=17061.9 (mm), Vnom=5000.22 (m³), Vsto=4500.197 (m³), Storage Ratio(Vsto/Vnom) = 90 (%), Vapour Space Ratio = 10 (%) 　　1-1) Operating Weight(총 운전중량) Mtotal = (1)MSH(Steel Weight) + (2)MLiquid(Contents Weight) = (1)MLiquid : 2488.609 (Ton) + (2)MSH(steel) : 472 (Ton) = 2960.609 (Ton), 　　1-2) (충격모드 중량) Mi(Impulsive)=2323.699 (Ton), (유동모드 중량) Mc(Convective)=636.91 (Ton) 2. 주의 : 첫 번째 모드(1차) 슬로싱 질량은 일반적으로 (2 ~ 4차 모드) 가 훨씬 작으므로 (2 ~ 4차 모드) 슬로싱 질량은 지진설계력 계산에서 무시될 수 있습니다 　　 [Table 3] Sloshing frequencies : λc1 = ωc²x (R/g) = 2.7399 , λc2=7.0623 , λc3=11.1163 , λc4=15.1328 　　 [Table 4 - Column 9] 유동모드 각속도 : ωc1 = √(λ₁x g/R) = 1.5915 (rad/s), ωc2=2.5552 (rad/s), ωc3=3.2057 (rad/s), ωc4=3.7403 (rad/s) 　　 [Table 4 - Column 9] 유동모드 주파수 : fc1 = ωc1 / (2π) = 0.2533 (Hz), fc2=0.4067 (Hz), fc3=0.5102 (Hz), fc4=0.5953 (Hz) 　　 [Table 4 - Column 9] 유동모드 고유주기(같음) : Tc1 = √(λ₁x g/R) = 3.9479 (sec), Tc2 = 2.459 (sec),Tc3 = 1.96 (sec),Tc4 = 1.6799 (sec), 　　 [Table 4 - Column 9] 유동모드 고유주기(같음) : Tc1 = 1 / fc1 = 3.948 (sec), Tc2=2.459 (sec), Tc3=1.96 (sec), Tc4=1.6799 (sec) 　　 [Table 4 - Column 9] 충격모드 고유주기 : Ti = (2π) / √(Kbs/Mi) = 0.2425 (sec) 　　Design Accelation : Sai = 0.7937 (g), Sac=0.1393 (g), 　　Center of Impulsive Mass from Shell Bottom, hi = 6.537 (m),

D=21216 (mm), R=10608 (mm), Vnom=5000.22 (m³), Vsto=4500.197 (m³), Storage Ratio(Vsto/Vnom) = 90 (%), Vapour Space Ratio = 10 (%),
Mtotal=2960.609 (Ton), MLiquid=2488.609 (Ton), Mi(Impulsive)=2323.699 (Ton), Mc(Convective)=636.91 (Ton)


ωc1=2.7399 (rad/s), ωc2=7.0623 (rad/s), ωc3=11.1163 (rad/s), ωc4=15.1328 (rad/s)
Ti=0.2425 (sec), Tc1=3.948 (sec), Tc2=2.459 (sec), Tc3=1.96 (sec), Tc4=1.6799 (sec)
Sai=0.7937 (g), Sac=0.1393 (g),
=COGi = hi = 6.5 (mm),

---

아래 그림출처 원본보기




아래 그림출처 원본보기

아래 그림출처 원본보기


[Table 1] (짝수 Column Only) TANK DIAMETER 별 COLUMN 및 SEGMENT 분할각도 표준화
　　000_김낙종_Shell Segment-짝수 COLUMN (version 1).xlsm [시트명 짝수_Column]

번호	홀수/짝수 Column포함				Only 짝수 Column					Shell 분할각도 표준											Shell 용접부 길이
	Tank Dia	Col.	W	L	Tank Dia	Col.	W	L	Column Size	Top Part			U.Ring	Equator Part			L.Ring	Bottom Part			One Column	Vnom	Shell WT	중량비	용접부길이
	I.D (mm)	Q'ty	(mm)	(mm)	I.D (mm)	Q'ty	(mm)	(mm)	OD x thk	θ1	θ2	θ3	θ4	θ5	θ6	θ7	θ8	θ9	θ10	θ11	Ton/Col	m³	Ton	%	(m)
번호	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24
0	5000	4		4712	6000	4	2356	4712		15	30				90				30	15	28.30	113.1	21.83	19.2993	127
1	6000	4		4712	6000	4	2356	4712		15	30				90				30	15	28.30	113.1	21.83	19.2993	127
2	6200	4		4869	6200	4	2435	4869		15	30				90				30	15	31.20	124.79	23.32	18.6868	131
3	6400	4		5027	6400	4	2513	5027		15	30				90				30	15	34.30	137.26	24.86	18.1121	136
4	6600	4		5184	6600	4	2592	5184		15	30				90				30	15	37.60	150.53	26.45	17.5716	140
5	6800	4		5341	6800	4	2670	5341		15	30				90				30	15	41.20	164.64	28.09	17.0625	144
6	7000	4		5498	7000	4	2749	5498		15	30				90				30	15	44.90	179.59	29.78	16.582	148
7	7200	4		5655	7200	4	2827	5655		15	30				90				30	15	48.90	195.43	31.52	16.1278	153
8	7400	4		5812	7400	4	2906	5812		15	30				90				30	15	53.00	212.17	33.31	15.6979	157
9	7600	5	2388	5969	7600	4	2985	5969		15	30				90				30	15	57.50	229.85	35.14	15.2902	161
10	7800	5	2450	6126	7800	4	3063	6126		15	30				90				30	15	62.10	248.47	37.03	14.9032	165
11	8000	5	2513	6283	8000	6	2094	6283		15	30				90				30	15	44.70	268.08	38.97	14.5353	195
12	8200	5	2576	6440	8200	6	2147	6440		15	30				90				30	15	48.10	288.7	40.95	14.1852	200
13	8400	5	2639	6597	8400	6	2199	6597		15	30				90				30	15	51.70	310.34	42.99	13.8515	204
14	8600	5	2702	6754	8600	6	2251	6754		15	30				90				30	15	55.50	333.04	45.07	13.5331	209
15	8800	5	2765	6912	8800	6	2304	6912		15	30				90				30	15	59.50	356.82	47.2	13.2291	214
16	9000	5	2827	7069	9000	6	2356	7069		15	30				90				30	15	63.60	381.7	49.39	12.9384	219
17	9200	5	2890	7226	9200	6	2409	7226		15	30				90				30	15	68.00	407.72	51.62	12.6602	224
18	9400	5	2953	7383	9400	6	2461	7383		15	30				90				30	15	72.50	434.89	53.9	12.3937	229
19	9600	6		7540	9600	6	2513	7540		15	30				90				30	15	77.20	463.25	56.23	12.1382	234
20	9800	6		7697	9800	6	2566	7697		15	30				90				30	15	82.10	492.81	58.61	11.893	239
21	10000	6		7854	10000	6	2618	7854		15	30				90				30	15	87.30	523.6	61.04	11.6575	243
22	10200	6		8011	10200	6	2670	8011		15	30				90				30	15	92.60	555.65	63.52	11.4312	248
23	10400	6		8168	10400	6	2723	8168		15	30				90				30	15	98.20	588.98	66.05	11.2135	253
24	10600	6		8325	10600	6	2775	8325		15	30				90				30	15	103.90	623.61	68.62	11.0039	258
25	10800	6		8482	10800	6	2827	8482		15	30				90				30	15	109.90	659.58	71.25	10.8021	263
26	11000	6		8639	11000	6	2880	8639		15	30				90				30	15	116.20	696.91	73.92	10.6075	268
27	11200	6		8796	11200	6	2932	8796		15	30				90				30	15	122.60	735.62	76.65	10.4197	273
28	11400	6		8954	11400	6	2985	8954		15	30				90				30	15	129.30	775.73	79.42	10.2385	277
29	11600	7	2603	8098	11600	8	2278	8098		10	20	20			80			20	20	10	102.20	817.28	82.25	10.0635	266
30	11800	7	2648	8238	11800	8	2317	8238		10	20	20			80			20	20	10	107.50	860.29	85.12	9.8944	271
31	12000	7	2693	8378	12000	8	2356	8378		10	20	20			80			20	20	10	113.10	904.78	88.04	9.7309	276
32	12200	7	2738	8517	12200	8	2395	8517		10	20	20			80			20	20	10	118.80	950.78	91.01	9.5727	280
33	12400	7	2783	7575	12400	8	2435	7575		11	22	22			70			22	22	11	124.80	998.31	94.04	9.4195	280
34	12600	7	2827	7697	12600	8	2474	7697		11	22	22			70			22	22	11	130.90	1047.39	97.11	9.2712	285
35	12800	7	2872	7819	12800	8	2513	7819		11	22	22			70			22	22	11	137.30	1098.07	100.23	9.1275	289
36	13000	7	2917	7941	13000	8	2553	7941		11	22	22			70			22	22	11	143.80	1150.35	103.39	8.9882	294
37	13200	8		8063	13200	8	2592	8063		11	22	22			70			22	22	11	150.50	1204.26	106.61	8.853	298
38	13400	8		8186	13400	8	2631	8186		11	22	22			70			22	22	11	157.50	1259.83	109.88	8.7219	303
39	13600	8		8308	13600	8	2670	8308		11	22	22			70			22	22	11	164.60	1317.09	113.2	8.5945	307
40	13800	8		8430	13800	8	2710	8430		11	22	22			70			22	22	11	172.00	1376.06	116.56	8.4709	312
41	14000	8		8552	14000	8	2749	8552		11	22	22			70			22	22	11	179.60	1436.76	119.98	8.3507	316
42	14200	8		8674	14200	8	2788	8674		11	22	22			70			22	22	11	187.40	1499.21	123.44	8.234	321
43	14400	8		8796	14400	8	2827	8796		11	22	22			70			22	22	11	195.40	1563.46	126.96	8.1204	325
44	14600	8		8919	14600	8	2867	8919		11	22	22			70			22	22	11	203.70	1629.51	130.52	8.0099	330
45	14800	8		9041	14800	8	2906	9041		11	22	22			70			22	22	11	212.20	1697.4	134.14	7.9024	334
46	15000	8		9163	15000	8	2945	9163		11	22	22			70			22	22	11	220.90	1767.15	137.8	7.7978	339
47	15200	8		9285	15200	8	2985	9285		11	22	22			70			22	22	11	229.80	1838.78	141.51	7.6958	344
48	15400	9	2688	9407	15400	8	3024	9407		11	22	22			70			22	22	11	239.00	1912.32	145.27	7.5965	348
49	15600	9	2723	8713	15600	10	2450	8713		10	20	20	16		64			20	20	10	198.80	1987.8	149.08	7.4998	422
50	15800	9	2758	8824	15800	10	2482	8824		10	20	20	16		64			20	20	10	206.50	2065.24	152.94	7.4054	427
51	16000	9	2793	8936	16000	10	2513	8936		10	20	20	16		64			20	20	10	214.50	2144.66	156.85	7.3135	432
52	16200	9	2827	9048	16200	10	2545	9048		10	20	20	16		64			20	20	10	222.60	2226.09	160.81	7.2237	438
53	16400	9	2862	9159	16400	10	2576	9159		10	20	20	16		64			20	20	10	231.00	2309.56	164.81	7.1362	443
54	16600	9	2897	9271	16600	10	2608	9271		10	20	20	16		64			20	20	10	239.50	2395.1	168.87	7.0507	449
55	16800	9	2932	9383	16800	10	2639	9383		10	20	20	16		64			20	20	10	248.30	2482.71	172.98	6.9673	454
56	17000	9	2967	9495	17000	10	2670	9495		10	20	20	16		64			20	20	10	257.20	2572.44	177.13	6.8858	459
57	17200	10		9156	17200	10	2702	9156		9	18	18	14.5		61		14.5	18	18	9	266.40	2664.31	181.34	6.8062	497
58	17400	10		9262	17400	10	2733	9262		9	18	18	14.5		61		14.5	18	18	9	275.80	2758.33	185.59	6.7284	494
59	17600	10		9369	17600	10	2765	9369		9	18	18	14.5		61		14.5	18	18	9	285.50	2854.54	189.9	6.6524	509
60	17800	10		9475	17800	10	2796	9475		9	18	18	14.5		61		14.5	18	18	9	295.30	2952.97	194.25	6.5781	514
61	18000	10		9582	18000	10	2827	9582		9	18	18	14.5		61		14.5	18	18	9	305.40	3053.63	198.65	6.5054	520
62	18200	10		9688	18200	10	2859	9688		9	18	18	14.5		61		14.5	18	18	9	315.70	3156.55	203.1	6.4343	526
63	18400	10		9795	18400	10	2890	9795		9	18	18	14.5		61		14.5	18	18	9	326.20	3261.76	207.6	6.3647	531
64	18600	10		9901	18600	10	2922	9901		9	18	18	14.5		61		14.5	18	18	9	336.90	3369.28	212.15	6.2967	537
65	18800	10		10008	18800	10	2953	10008		9	18	18	14.5		61		14.5	18	18	9	347.90	3479.14	216.75	6.23	543
66	19000	10		10114	19000	10	2985	10114		9	18	18	14.5		61		14.5	18	18	9	359.10	3591.36	221.4	6.1648	549
67	19200	11	2742	8880	19200	10	3016	8880		8.2	16.4	16.4		45		53		16.4	16.4	8.2	370.60	3705.97	226.1	6.1009	578
68	19400	11	2770	8973	19400	12	2539	8973		8.2	16.4	16.4		45		53		16.4	16.4	8.2	318.60	3823	230.85	6.0383	650
69	19600	11	2799	9065	19600	12	2566	9065		8.2	16.4	16.4		45		53		16.4	16.4	8.2	328.50	3942.46	235.64	5.977	657
70	19800	11	2827	9158	19800	12	2592	9158		8.2	16.4	16.4		45		53		16.4	16.4	8.2	338.70	4064.38	240.49	5.917	663
71	20000	11	2856	9250	20000	12	2618	9250		8.2	16.4	16.4		45		53		16.4	16.4	8.2	349.10	4188.79	245.38	5.8581	670
72	20200	11	2885	9343	20200	12	2644	9343		8.2	16.4	16.4		45		53		16.4	16.4	8.2	359.60	4315.71	250.33	5.8004	677
73	20400	11	2913	9435	20400	12	2670	9435		8.2	16.4	16.4		45		53		16.4	16.4	8.2	370.40	4445.18	255.32	5.7438	684
74	20600	11	2942	9528	20600	12	2697	9528		8.2	16.4	16.4		45		53		16.4	16.4	8.2	381.40	4577.2	260.37	5.6883	690
75	20800	11	2970	9620	20800	12	2723	9620		8.2	16.4	16.4		45		53		16.4	16.4	8.2	392.70	4711.82	265.46	5.6339	697
76	21000	11	2970	9713	21000	12	2749	9713		8.2	16.4	16.4		45		53		16.4	16.4	8.2	404.10	4849.05	270.6	5.5805	704
77	21200	12		10453	21200	12	2775	10453		7.5	15	15		48.5		56.5		15	15	7.5	415.70	4988.92	275.79	5.5281	725
78	21400	12		10551	21400	12	2801	10551		7.5	15	15		48.5		56.5		15	15	7.5	427.60	5131.45	281.03	5.4767	732
79	21600	12		10650	21600	12	2827	10650		7.5	15	15		48.5		56.5		15	15	7.5	439.70	5276.67	286.32	5.4262	738
80	21800	12		10749	21800	12	2854	10749		7.5	15	15		48.5		56.5		15	15	7.5	452.10	5424.6	291.66	5.3766	745
81	22000	12		10847	22000	12	2880	10847		7.5	15	15		48.5		56.5		15	15	7.5	464.60	5575.28	297.05	5.328	752
82	22200	12		10946	22200	12	2906	10946		7.5	15	15		48.5		56.5		15	15	7.5	477.40	5728.72	302.49	5.2802	759
83	22400	12		11044	22400	12	2932	11044		7.5	15	15		48.5		56.5		15	15	7.5	490.40	5884.95	307.97	5.2333	766
84	22600	12		11143	22600	12	2958	11143		7.5	15	15		48.5		56.5		15	15	7.5	503.70	6043.99	313.51	5.1871	773
85	22800	13	2755	11540	22800	12	2985	11540		7	14	14		52		58		14	14	7	517.20	6205.88	319.1	5.1418	790
86	23000	13	2779	11641	23000	12	3011	11641		7	14	14		52		58		14	14	7	530.90	6370.63	324.73	5.0973	797
87	23200	13	2803	11135	23200	14	2603	11135		7	14	14		52		47.5	10.5	14	14	7	467.00	6538.27	330.42	5.0536	854
88	23400	13	2827	11231	23400	14	2625	11231		7	14	14		52		47.5	10.5	14	14	7	479.20	6708.82	336.15	5.0106	862
89	23600	13	2852	11327	23600	14	2648	11327		7	14	14		52		47.5	10.5	14	14	7	491.60	6882.32	341.93	4.9683	869
90	23800	13	2876	11423	23800	14	2670	11423		7	14	14		52		47.5	10.5	14	14	7	504.20	7058.78	347.77	4.9267	876
91	24000	13	2900	11519	24000	14	2693	11519		7	14	14		52		47.5	10.5	14	14	7	517.00	7238.23	353.65	4.8858	884
92	24200	13	2924	11615	24200	14	2715	11615		7	14	14		52		47.5	10.5	14	14	7	530.00	7420.7	359.58	4.8456	891
93	24400	13	2948	11711	24400	14	2738	11711		7	14	14		52		47.5	10.5	14	14	7	543.30	7606.21	365.56	4.8061	898
94	24600	13	2948	11807	24600	14	2760	11807		7	14	14		52		47.5	10.5	14	14	7	556.80	7794.78	371.59	4.7671	906
95	24800	14		11146	24800	14	2783	11146		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	570.50	7986.45	377.67	4.7289	998
96	25000	14		11236	25000	14	2805	11236		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	584.40	8181.23	383.8	4.6912	1006
97	25200	14		11325	25200	14	2827	11325		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	598.50	8379.16	389.97	4.6541	1014
98	25400	14		11415	25400	14	2850	11415		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	612.90	8580.25	396.2	4.6176	1022
99	25600	14		11505	25600	14	2872	11505		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	627.50	8784.53	402.48	4.5817	1030
100	25800	14		11595	25800	14	2895	11595		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	642.30	8992.03	408.8	4.5463	1038
101	26000	14		11685	26000	14	2917	11685		6.4	12.8	12.8	9.5	45.5		51.5	9.5	12.8	12.8	6.4	657.30	9202.77	415.18	4.5114	1055
102	26200	14		10517	26200	14	2940	10517		6.4	12.8	12.8		35	46	35		12.8	12.8	6.4	672.60	9416.78	421.6	4.4771	1098
103	26400	14		10598	26400	14	2962	10598		6.4	12.8	12.8		35	46	35		12.8	12.8	6.4	688.10	9634.08	428.08	4.4433	1107
104	26600	14		10678	26600	14	2985	10678		6.4	12.8	12.8		35	46	35		12.8	12.8	6.4	703.90	9854.7	434.6	4.4101	1115
105	26800	15	2806	10758	26800	14	3007	10758		6.25	12.5	12.5		34.75	48	34.75		12.5	12.5	6.25	719.90	10078.66	441.17	4.3773	1137
106	27000	15	2827	10838	27000	14	3029	10838		6	12	12		37	46	37		12	12	6	736.10	10305.99	447.79	4.345	1146
107	27200	15	2848	10444	27200	16	2670	10444		6	12	12		38	44	38		12	12	6	658.50	10536.72	454.46	4.3131	1269
108	27400	15	2869	10521	27400	16	2690	10521		6	12	12		38	44	38		12	12	6	673.20	10770.86	461.18	4.2818	1279
109	27600	15	2890	10598	27600	16	2710	10598		6	12	12		38	44	38		12	12	6	688.00	11008.44	467.95	4.2509	1288
110	27800	15	2911	10674	27800	16	2729	10674		6	12	12		38	44	38		12	12	6	703.10	11249.49	474.77	4.2204	1297
111	28000	15	2932	10751	28000	16	2749	10751		6	12	12		38	44	38		12	12	6	718.40	11494.04	481.64	4.1904	1307
112	28200	15	2953	10336	28200	16	2769	10336		6	12	12		39	42	39		12	12	6	733.90	11742.1	488.56	4.1607	1317
113	28400	15	2974	10409	28400	16	2788	10409		6	12	12		39	42	39		12	12	6	749.60	11993.71	495.53	4.1315	1326
114	28600	15	2974	10482	28600	16	2808	10482		6	12	12		39	42	39		12	12	6	765.60	12248.89	502.54	4.1027	1336
115	28800	16		10807	28800	16	2827	10807		5.5	11	11		41	43	41		11	11	5.5	781.70	12507.66	509.61	4.0744	1368
116	29000	16		10882	29000	16	2847	10882		5.5	11	11		41	43	41		11	11	5.5	798.10	12770.05	516.72	4.0464	1377
117	29200	16		10957	29200	16	2867	10957		5.5	11	11		41	43	41		11	11	5.5	814.80	13036.08	523.89	4.0187	1387
118	29400	16		11032	29400	16	2886	11032		5.5	11	11		41	43	41		11	11	5.5	831.60	13305.79	531.1	3.9915	1396
119	29600	16		11107	29600	16	2906	11107		6	12	12		42	42	36		12	12	6	848.70	13579.19	538.36	3.9646	1406
120	29800	16		11182	29800	16	2926	11182		5.5	11	11		41	43	41		11	11	5.5	866.00	13856.3	545.67	3.9381	1415
121	30000	16		11257	30000	16	2945	11257		5.5	11	11		41	43	41		11	11	5.5	883.60	14137.17	553.04	3.9119	1425
122	32000	18		11257	32000	18	2945	11257		5.5	11	52			43	26		26	11	5.5	883.60	14137.17	553.04	3.9119	1425
123	34000	18		11257	34000	18	2945	11257		5.5	11	26		26	43	26		26	11	5.5	883.60	14137.17	553.04	3.9119	1425

[Table 2] TANK DIAMETER COLUMN / BRACE TYPICAL SIZE ( PV 4th Edi page 608 / Bellow Table 9.19 )


[Table 3] 탱크 용량별 수압테스트 조건에서 Column 강도계산 (송길수)
엑셀 원본 : (감쇠율계산포함) 박희광_Spherical-Tank_Sloshing_Effect_최종_고유진동수계산_중국논문_추가12.xlsx (시트명:[용량별_컬럼표준화] PV Veseel 4th Spherical tank) [엑셀 다운로드 5.8MB] [PDF]

번호	Tank Dia. (m)	PV 4th Edi page 608 ( Bellow Table 9.19 ) SG = 0.456, Design Liquid Level : DLL = 0.8042 x D ( 90% x Full Liquid )								Tank Size and Dimension Data 주의 : 설계압력, SG 등 고려 하지않은 단지 수압테스트 조건에서 Column 계산을 위한 수두압 만 고려한 계산임에 유의																수압시험 기준 Column 강도계산(AISC 360 / 수압테스트 기준) 및 Brace SIZE 강도계산은 후에... / 송길수 표준화 Column Material : API 5L-B, Fy = 360 MPa, Ec = 199,948 MPa,
		Tank	Tank	Tank	Column	Column	Column	shell Plate	DLL	Tank	Tank	Tank	지면에서	Upper	Upp Col	Lower	Column	Shell	1)Shell 중량	2)Etc Steel	3) Wc	SP2	운전중량	수압시험중량	SPARE	Column	Column	단면적	단면계수	단면이차모멘트	회전반경	Load per 1Col	SR	Fe	Fcr	fc=Wt/(A x CQTY)	Fa= Fcr/Ωc(1.67)	fc/Fa	λc ≤ 65	C1	C2	C3	C4	C5	C6	C7	C8	C9
		공칭용적	capasity	Dia.	Dia	thick	Column	적도판 폭	90(%)	Dia	Dia	Vnom	탱크바닥까지	Col Len	각도	Col Len	PCD	AVG thick	Ws	Wetc	Wcontents	SP2	Wo=1+2+3	Wt=1+2+Vnom	SPARE	Dia	thick	Ac	Zc=Ic/y	Ic	rc=√Ic/Ac	Q=Wt/Cqty	SR=KL/rc	Fe=π²E/SR²	오일러	fc(압축응력)	Fa(허용좌굴응력)	fc/Fa	λc ≤ 65	C1	C2	C3	C4	C5	C6	C7	C8	C9
		m³	bbl(US)	ft-inch	inch	inch	QTY	mm	mm	mm	m	m³	Ht (m)	Lupper(m)	deg.	KL(m)	mm	mm	Ton	Ton	Ton	SP2	Ton	Ton	SPARE	mm	mm	mm²	cm³	cm⁴	mm	Ton	≤ 200 OK	MPa	MPa	MPa	MPa	< 1.0 OK	λc ≤ 65	C1	C2	C3	C4	C5	C6	C7	C8	C9
No.	D, (m)	0	1	2	3	4	5	6	7	8	9	10	11	12	13	14	15	16	17	18	19	20	21	22	23	24	25	26	27	28	29	30	31	32	33	34	35	36	37	38	39	40	41	42	43	44	45	46
1	6.782	163	1000	22.3	16.0	0.25	4.0	2663.3	5454.1	6782	6.782	163.332	6.391	1.696	30.01	4.695	6580	30	34.03	3.403	83.66		121.1	200.8	ø16" x t6.35	406.4	6.35	7,981	785.89	15,969	141.46	50.191	33.19	1791.44	330.96	61.67	198.18	0.311
2	7.772	246	1500	25.6	16.0	0.25	4.0	3052.1	6250.2	7772	7.772	245.809	6.886	1.824	27.994	5.062	7570	35	52.138	5.214	125.903		183.3	303.2	ø16" x t6.35	406.4	6.35	7,981	785.89	15,969	141.46	75.79	35.784	1541.13	326.47	93.13	195.49	0.476
3	8.534	325	2000	28.0	16.0	0.25	5.0	2681.0	6863.0	8534	8.534	325.429	7.267	1.917	26.696	5.35	8330	40	71.843	7.184	166.684		245.7	404.5	ø16" x t6.35	406.4	6.35	7,981	785.89	15,969	141.46	80.891	37.82	1379.67	322.75	99.4	193.26	0.514
4	9.220	410	2500	30.3	16.0	0.25	5.0	2896.6	7414.7	9220	9.22	410.385	7.61	1.997	25.67	5.613	9020	45	94.34	9.434	210.2		314.0	514.2	ø16" x t6.35	406.4	6.35	7,981	785.89	15,969	141.46	102.832	39.679	1253.42	319.22	126.35	191.15	0.661
5	9.754	486	3000	32.0	18.0	0.25	6.0	2553.6	7844.2	9754	9.754	485.9	7.877	2.137	25.988	5.74	9530	50	117.315	11.732	248.883		377.9	614.9	ø18" x t6.35	457.2	6.35	8,994	999.86	22,857	159.42	102.491	36.006	1522.18	326.07	111.75	195.25	0.572
6	10.796	659	4000	35.5	20.0	0.25	6.0	2826.4	8682.1	10796	10.796	658.851	8.398	2.335	25.631	6.063	10540	55	158.091	15.809	337.464		511.4	832.8	ø20" x t6.35	508.0	6.35	10,007	1239.57	31,485	177.37	138.792	34.183	1688.87	329.27	136.01	197.17	0.69
7	11.582	813	5000	38.0	22.0	0.25	6.0	3032.2	9314.2	11582	11.582	813.485	8.791	2.503	25.609	6.288	11300	60	198.49	19.849	416.667		635.0	1031.8	ø22" x t6.35	558.8	6.35	11,021	1505.02	42,050	195.33	171.971	32.192	1904.24	332.61	153.02	199.17	0.768
8	12.396	997	6500	40.8	24.0	0.25	7.0	2781.7	9968.9	12396	12.396	997.34	9.198	2.675	25.569	6.523	12090	64	242.528	24.253	510.846		777.6	1264.1	ø24" x t6.35	609.6	6.35	12,034	1796.22	54,749	213.29	180.589	30.583	2109.87	335.19	147.16	200.71	0.733
9	13.258	1220	7500	43.6	24.0	0.29	7.0	2975.1	10662.1	13258	13.258	1220.205	9.629	2.772	24.719	6.857	12950	64	277.431	27.743	624.997		930.2	1525.4	ø24" x t7.37	609.6	7.37	13,944	2074.27	63,224	212.94	217.911	32.202	1903.05	332.6	153.25	199.16	0.769
10	14.630	1640	10500	48.0	28.0	0.3	8.0	2872.6	11765.4	14630	14.63	1639.576	10.315	3.087	24.962	7.228	14270	64	337.822	33.782	839.793		1211.4	2011.2	ø28" x t7.62	711.2	7.62	16,843	2931.19	104,233	248.77	251.398	29.055	2337.63	337.53	146.37	202.11	0.724
11	15.544	1966	12500	51.0	30.0	0.29	9.0	2712.9	12500.5	15544	15.544	1966.468	10.772	3.27	24.881	7.502	15160	64	381.351	38.135	1007.237		1426.7	2386.0	ø30" x t7.37	762.0	7.37	17,472	3264.72	124,386	266.81	265.106	28.117	2496.2	338.91	148.8	202.94	0.733
12	16.688	2433	15500	54.9	32.0	0.344	9.0	2912.6	13420.5	16688	16.688	2433.389	11.344	3.478	24.634	7.866	16280	64	439.55	43.955	1246.396		1729.9	2916.9	ø32" x t8.74	812.8	8.74	22,077	4390.71	178,438	284.29	324.099	27.669	2577.69	339.56	143.97	203.33	0.708
13	18.440	3283	20500	60.6	34.0	0.38	10.0	2896.6	14829.4	18440	18.44	3283.079	12.22	3.751	24.006	8.469	18010	64	536.687	53.669	1681.599		2272.0	3873.4	ø34" x t9.65	863.6	9.65	25,889	5465.85	236,015	301.94	387.344	28.049	2508.31	339.01	146.72	203.0	0.723
14	19.812	4072	25500	65.0	36.0	0.406	11.0	2829.2	15932.8	19812	19.812	4071.773	12.906	3.983	23.708	8.923	19350	64	619.521	61.952	2085.58		2767.1	4753.2	ø36" x t10.31	914.4	10.31	29,283	6544.91	299,233	319.66	432.113	27.914	2532.64	339.21	144.71	203.12	0.712
15	21.032	4871	30500	69.0	40.0	0.438	11.0	3003.4	16913.9	21032	21.032	4871.249	13.516	4.284	24.04	9.232	20520	64	698.169	69.817	2495.068		3263.1	5639.2	ø40" x t11.13	1016.0	11.13	35,136	8731.21	443,545	355.3	512.658	25.984	2922.84	341.91	143.09	204.74	0.699
16	23.164	6508	41000	76.0	42.0	0.503	12.0	3032.2	18628.5	23164	23.164	6507.876	14.582	4.594	23.369	9.988	22630	64	846.889	84.689	3333.37		4264.9	7439.5	ø42" x t12.78	1066.8	12.78	42,318	11019.15	587,762	372.68	619.954	26.8	2747.56	340.79	143.67	204.07	0.704
17	24.714	7904	50000	81.1	42.0	0.594	13.0	2986.2	19875.0	24714	24.714	7903.651	15.357	4.752	22.616	10.605	24180	64	964.019	96.402	4048.29		5108.7	8964.1	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	689.544	28.518	2426.49	338.32	135.63	202.59	0.669
18	24.994	8175	51500	82.0	42.0	0.594	14.0	2804.3	20100.2	24994	24.994	8175.342	15.497	4.78	22.488	10.717	24460	64	985.987	98.599	4187.46		5272.0	9259.9	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	661.423	28.819	2376.07	337.88	130.1	202.32	0.643
19	25.604	8789	55500	84.0	42.0	0.594	14.0	2872.8	20590.7	25604	25.604	8788.648	15.802	4.84	22.214	10.962	25070	64	1034.702	103.47	4501.573		5639.7	9926.8	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	709.059	29.478	2271.02	336.89	139.47	201.73	0.691
20	26.212	9430	59500	86.0	42.0	0.594	14.0	2941.0	21079.7	26212	26.212	9429.727	16.106	4.899	21.95	11.207	25680	64	1084.426	108.443	4829.957		6022.8	10622.6	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	758.757	30.137	2172.79	335.88	149.24	201.13	0.742
21	26.822	10104	63500	88.0	42.0	0.594	14.0	3009.4	21570.2	26822	26.822	10103.506	16.411	4.958	21.697	11.453	26290	64	1135.486	113.549	5175.041		6424.1	11352.5	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	810.896	30.798	2080.52	334.85	159.5	200.51	0.795
22	27.432	10809	68000	90.0	42.0	0.594	16.0	2693.1	22060.8	27432	27.432	10808.64	16.716	5.016	21.451	11.7	26900	64	1187.721	118.772	5536.232		6842.7	12115.1	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	757.196	31.463	1993.5	333.79	148.93	199.87	0.745
23	28.042	11546	72500	92.0	42.0	0.594	16.0	2753.0	22551.4	28042	28.042	11545.841	17.021	5.073	21.212	11.948	27510	64	1241.131	124.113	5913.848		7279.1	12911.1	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	806.943	32.13	1911.59	332.71	158.72	199.23	0.797
24	28.652	12316	77500	94.0	42.0	0.594	16.0	2812.9	23041.9	28652	28.652	12315.823	17.326	5.13	20.983	12.196	28120	64	1295.715	129.571	6308.205		7733.5	13741.1	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	858.819	32.796	1834.74	331.62	168.92	198.57	0.851
25	29.260	13117	82500	96.0	42.0	0.594	16.0	2872.6	23530.9	29260	29.26	13116.609	17.63	5.186	20.761	12.444	28730	64	1351.289	135.129	6718.396		8204.8	14603.0	ø42" x t15.09	1066.8	15.09	49,858	12926.28	689,488	371.87	912.689	33.463	1762.33	330.5	179.52	197.9	0.907
26	29.870	13954	88000	98.0	42.0	0.594	16.0	2932.5	24021.5	29870	29.87	13954.179	17.935	5.242	20.548	12.693	29340	64	1408.218	140.822	7147.426		8696.5	15503.2	ø42" x t25.4	1270.0	25.4	99,315	30296.34	1,923,817	440.12	968.951	28.84	2372.61	337.85	95.68	202.31	0.473
27	30.480	14827	93500	100.0	48.0	0.75	16.0	2992.4	24512.0	30480	30.48	14826.666	18.24	5.596	21.543	12.644	29870	64	1466.322	146.632	7594.282		9207.2	16439.6	ø48" x t19.05	1219.2	19.05	71,826	21219.05	1,293,513	424.37	1027.476	29.795	2222.95	336.41	140.28	201.44	0.696
28	31.700	16679	105000	104.0	48.0	0.75	18.0	2766.4	25493.1	31700	31.7	16679.246	18.85	5.71	21.116	13.14	31090	64	1586.054	158.605	8543.166		10287.8	18423.9	ø48" x t19.05	1219.2	19.05	71,826	21219.05	1,293,513	424.37	1023.55	30.964	2058.27	334.59	139.75	200.35	0.698
29	32.918	18677	117500	108.0	48.0	0.75	18.0	2872.6	26472.7	32918	32.918	18676.648	19.459	5.823	20.719	13.636	32310	64	1710.277	171.028	9566.302		11447.6	20558.0	ø48" x t19.05	1219.2	19.05	71,826	21219.05	1,293,513	424.37	1142.109	32.132	1911.35	332.71	155.94	199.23	0.783
30	34.138	20831	131000	112.0	48.0	0.75	18.0	2979.1	27453.8	34138	34.138	20831.131	20.069	5.933	20.34	14.136	33530	64	1839.398	183.94	10669.823		12693.2	22854.5	ø48" x t19.05	1219.2	19.05	71,826	21219.05	1,293,513	424.37	1269.693	33.311	1778.45	330.76	173.36	198.06	0.875
31	35.356	23141	145500	116.0	48.0	0.75	20.0	2776.9	28433.3	35356	35.356	23141.313	20.678	6.042	19.985	14.636	34750	64	1972.994	197.299	11853.098		14023.4	25311.6	ø48" x t19.05	1219.2	19.05	71,826	21219.05	1,293,513	424.37	1265.58	34.489	1659.04	328.74	172.79	196.85	0.878
32	36.576	25620	161000	120.0	50.0	0.75	20.0	2872.7	29414.4	36576	36.576	25620.479	21.288	6.254	19.997	15.034	35940	64	2111.504	211.15	13122.919		15445.6	27943.1	ø50" x t19.05	1270.0	19.05	74,866	23067.56	1,464,790	442.33	1397.157	33.988	1708.31	329.61	183.01	197.37	0.927
33	37.796	28271	178000	124.0	50.0	1.0	20.0	2968.5	30395.5	37796	37.796	28270.673	21.898	6.36	19.666	15.538	37160	64	2254.713	225.471	14480.338		16960.5	30750.9	ø50" x t25.4	1270.0	25.4	99,315	30296.34	1,923,817	440.12	1537.543	35.304	1583.32	327.32	151.82	196.0	0.775
34	39.014	31093	195500	128.0	50.0	1.0	20.0	3064.2	31375.1	39014	39.014	31092.816	22.507	6.465	19.355	16.042	38380	64	2402.373	240.237	15925.934		18568.5	33735.4	ø50" x t25.4	1270.0	25.4	99,315	30296.34	1,923,817	440.12	1686.771	36.449	1485.41	325.27	166.56	194.77	0.855
35	40.234	34102	214500	132.0	50.0	1.0	22.0	2872.7	32356.2	40234	40.234	34101.875	23.117	6.568	19.056	16.549	39600	64	2554.971	255.497	17467.166		20277.6	36912.3	ø50" x t25.4	1270.0	25.4	99,315	30296.34	1,923,817	440.12	1677.834	37.601	1395.78	323.16	165.67	193.51	0.856
36	41.452	37294	234500	136.0	50.0	1.25	22.0	2959.7	33335.7	41452	41.452	37293.667	23.726	6.67	18.773	17.056	40820	64	2712.005	271.2	19102.002		22085.2	40276.9	ø50" x t31.75	1270.0	31.75	123,510	37302.71	2,368,722	437.93	1830.767	38.947	1300.97	320.63	145.36	191.99	0.757

[Table 3.1] COLUMN 단면성능 계산 Formula



[Table 4] COLUMN / BRACE 강도계산
    ( Column 14 EA, CS = 0.176 으로 가정하고 계산된 것임. ) 아래 내용 수정필요
    Seismic Factor : 샤힌 PKG#3 기준으로 Column 14 EA 고정, CS = 0.176 적용 된 것임, V = Cs(0.176) x Wo

번호	0	1	2	3	4	5	6	7	8	9	10	11	12
	Tank Dia.	PCD	운전하중	바닥전단력	전도 모멘트	FD	FL	Q	Vn1	Vn2	Vn = Max(Vn1, Vn2)	Brace OD	Brace thk
	D	PCD	Wo	V = Cs x Wo	Mo	FD	FL	Q=FD+FL	at Column	Between Column	Vn = Max(Vn1, Vn2)	bd	bt
	mm	mm	Ton	Ton	Ton-m	Ton	Ton	Ton	Ton	Ton	Ton	mm	mm
1	6782	6580	121.1	21.31	136.0	8.65	0.01	8.66	2.76	2.89	2.89	115.3	6.12
2	7772	7570	183.3	32.26	222.0	13.09	0.01	13.1	4.17	4.38	4.38	116.3	6.22
3	8534	8330	245.7	43.24	314.0	17.55	0.01	17.56	5.6	5.87	5.87	117.3	6.32
4	9220	9020	314.0	55.26	421.0	22.43	0.01	22.44	7.15	7.5	7.5	118.3	6.42
5	9754	9530	377.9	66.51	524.0	26.99	0.02	27.01	8.61	9.03	9.03	119.3	6.52
6	10796	10540	511.4	90.01	756.0	36.53	0.02	36.55	11.65	12.22	12.22	120.3	6.62
7	11582	11300	635.0	111.76	982.0	45.36	0.02	45.38	14.46	15.18	15.18	121.3	6.72
8	12396	12090	777.6	136.86	1259.0	55.54	0.03	55.57	17.71	18.59	18.59	122.3	6.82
9	13258	12950	930.2	163.72	1576.0	66.44	0.03	66.47	21.19	22.23	22.23	123.3	6.92
10	14630	14270	1211.4	213.21	2199.0	86.53	0.04	86.57	27.59	28.95	28.95	124.3	7.02
11	15544	15160	1426.7	251.1	2705.0	101.91	0.05	101.96	32.49	34.1	34.1	125.3	7.12
12	16688	16280	1729.9	304.46	3454.0	123.56	0.06	123.62	39.4	41.35	41.35	126.3	7.22
13	18440	18010	2272.0	399.87	4886.0	162.29	0.08	162.37	51.74	54.3	54.3	127.3	7.32
14	19812	19350	2767.1	487.01	6285.0	197.65	0.09	197.74	63.02	66.14	66.14	128.3	7.42
15	21032	20520	3263.1	574.31	7762.0	233.08	0.11	233.19	74.32	77.99	77.99	129.3	7.52
16	23164	22630	4264.9	750.62	10946.0	304.64	0.14	304.78	97.13	101.93	101.93	130.3	7.62
17	24714	24180	5108.7	899.13	13808.0	364.91	0.16	365.07	116.35	122.1	122.1	131.3	7.72
18	24994	24460	5272.0	927.87	14379.0	376.57	0.17	376.74	120.07	126.0	126.0	132.3	7.82
19	25604	25070	5639.7	992.59	15685.0	402.84	0.18	403.02	128.44	134.79	134.79	133.3	7.92
20	26212	25680	6022.8	1060.01	17073.0	430.2	0.19	430.39	137.17	143.95	143.95	134.3	8.02
21	26822	26290	6424.1	1130.64	18555.0	458.86	0.2	459.06	146.3	153.54	153.54	135.3	8.12
22	27432	26900	6842.7	1204.32	20131.0	488.76	0.21	488.97	155.84	163.55	163.55	136.3	8.22
23	28042	27510	7279.1	1281.12	21806.0	519.94	0.23	520.17	165.78	173.98	173.98	137.3	8.32
24	28652	28120	7733.5	1361.1	23582.0	552.39	0.24	552.63	176.13	184.84	184.84	138.3	8.42
25	29260	28730	8204.8	1444.04	25458.0	586.06	0.25	586.31	186.86	196.1	196.1	139.3	8.52
26	29870	29340	8696.5	1530.58	27451.0	621.18	0.27	621.45	198.06	207.85	207.85	140.3	8.62
27	30480	29870	9207.2	1620.47	29557.0	657.66	0.28	657.94	209.69	220.06	220.06	141.3	8.72
28	31700	31090	10287.8	1810.65	34131.0	734.84	0.31	735.15	234.3	245.89	245.89	142.3	8.82
29	32918	32310	11447.6	2014.78	39206.0	817.69	0.35	818.04	260.71	273.61	273.61	143.3	8.92
30	34138	33530	12693.2	2234.0	44834.0	906.66	0.38	907.04	289.08	303.38	303.38	144.3	9.02
31	35356	34750	14023.4	2468.12	51036.0	1001.67	0.42	1002.09	319.37	335.17	335.17	145.3	9.12
32	36576	35940	15445.6	2718.43	57870.0	1103.26	0.46	1103.72	351.76	369.16	369.16	146.3	9.22
33	37796	37160	16960.5	2985.05	65367.0	1211.46	0.5	1211.96	386.27	405.37	405.37	147.3	9.32
34	39014	38380	18568.5	3268.06	73554.0	1326.32	0.55	1326.87	422.89	443.8	443.8	148.3	9.42
35	40234	39600	20277.6	3568.86	82501.0	1448.4	0.6	1449.0	461.81	484.65	484.65	149.3	9.52
36	41452	40820	22085.2	3887.0	92223.0	1577.51	0.65	1578.16	502.98	527.85	527.85	150.3	9.62

Code =
D = 21640
DLL = 17160
HTL = 21640
CA = 1
Dc = 21642
R = 10821
Pg = 0.588399
Pg_kPa= 588.399
SG = 0.636
GAMMA = 6.2E-6
Sd = 130.428445
St = 315

GR2p6 = 0 N/mm
PM = 0 N/mm
apDeg = 0 deg.
apRad = 0 rad.
cosAp = 0
cos2Ap= 0
cos3Ap= 0
Equator Shell 과 Column 접촉 부위 막응력 분석 및 계산

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

아래 그림위치 : ./images/Spherical_Tank_Theroy_12page.png

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

String CALC_EQPL_IP_VB_HB_TAU()
1.1 Equator Plate Stress : D=2100 (cm), Ri=1050.3 (cm), (Column 높이의 자동계산 : HT_UPPCOL = 393.4 (cm) deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

kgo	Description	Symbol	Value	SI Unit	Value	Metric Unit
A 1	Design Data :
B 2	D = Tank In-Diameter	D =	2100	cm		cm
B 3	R = Inside Radius in Corroded Condition	R =	1050.3	cm		cm
B 4	L = Liquid Level	L =	2164	cm		cm
B 5	CA = Corrosion Allowance	CA =	0.3	cm		cm
B 6	Wt = Total Weight at Operating Condition	Wt =	3080000	kg		Kg
B 7	S = Allowable Stress for the Design Condition	S =	1308.15	Kg/cm²		Kg/cm²
B 8	P = Design internal GAS Pressure	P =	16	Kg/cm²		Kg/cm²
B 9	SG = Design Specific Gravity	SG =	0.45
B 10	γ = Liquid Density	γ =	4.5E-4	kg/cm³		Kg/m³
B 11	d = Outsdie diameter of Column	d =	81.28	cm		cm
B 12	N = Number of Support Column	kg =	13	columns		columns
B 13	Δ = Angle of equator line to column top point	Δ =	0	degree		radians
B 14	φ = Angle of upper column from top to base	φ =	22.0	degree		radians
B 15	β = Angle of Liquid Level, β=Acos[(L+CA-R)/R]	β =	1	degree		radians
B 16	C1 = cos(Δ + φ/2) / cos(11)	C1 =	1
B 17	C2 = Factor	C2 =	1
B 18	C3 = { sin(Δ+φ ) - sin(Δ) } / sin(22)	C3 =	1
B 19	C4 = sin(Δ+φ ) + sin(Δ)	C4 =	1
B 20	C5 = 22 / φ	C5 =	0.37461
B 21	C6 = sin(Δ+φ) + sin(Δ)	C6 =	0
A 22	Calculation Result :
B 23	PM = P×R/2	PM =	8402.4	kg-cm		Kg-cm
B 24	LM1 = γR²/6 × [6×cosβ-6×cosθ-3×cosβ×cos²θ+4×cos³θ-cos³β)/(1-cos²θ)]	LM1 =	387.632	kg-cm		Kg-cm
B 25	LM2 = γR²/6 × [( cos³β - 3×cos²θ×cosβ + 2×cos³θ) / ( 1-cos²θ)]	LM2 =	387.632	kg-cm		Kg-cm
B 26	ΣT1 = Max. Latitude Membrane Force 　　ΣT1 = LM1 + PM + VB - HB	ΣT1 =	8790.03	kg/cm		Kg/cm
B 27	ΣT2 = Max. Meridional Membrane Force 　　ΣT2 = LM2 + PM - IP	ΣT2 =	8790.03	kg/cm		Kg/cm
B 28	Equator plate thk by Internal Pressure (by ASME Rules)	tASME =	7.87	cm		cm
A 29	t(Point A) = Min. required thickness at point at A 　tReq = √[ΣT1²＋ ΣT2² － ( ΣT1 x ΣT2 ) ＋ 3·τxy²] S ＋ CA	tReq =	7.02	cm		cm
A 30	Effective equivalent stress(Von-Mises), σeq < S then OK 　σeq = √[ΣT1²＋ ΣT2²－ ( ΣT1 x ΣT2 ) ＋ 3·τxy²] (tu － CA)	σeq =	1308.15	Kg/cm²		Kg/cm²
A 31	Calculation Result :
B 32	Mo = Wt R cos(11) / N x { N / (2π)- 1 / (2 x Tan(π/N) ) }	Mo =	9,876,875	kg-cm		Kg-cm
B 33	ΔMo = 3 Wt R / 4π × [ 0.2616 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 0.88196.4 × C5/N - 1 ) / C5 ]	ΔMo =	4,032,284	kg-cm		Kg-cm
B 34	Mc = Wt R cos(11) / N x { 1 / 2 × sin(π/N)) - N / (2π) ) }	Mc =	4,952,902	kg-cm		Kg-cm
B 35	ΔMc = 3 Wt R / 4π × [-0.5232 × ( 1+0.88196.4 × C5/N) / N 　　+ 0.02804 × ( 1 - 0.88196.4 × C5/N ) / C5 ]	ΔMc =	1,927,263	kg-cm		Kg-cm
A 36	VB : Membrance Force resulting from longitudinal bending moment 　VB = Mvs / Za × t	VB =	222.641	kg/cm		Kg/cm
B 37	Mvs = Mo × C1 - ΔMo × C3	Mvs =	5,844,591	kg-cm		Kg-cm
B 38	Mvm = Mc × C1 - ΔMc × C3	Mvm =	3,025,639	kg-cm		Kg-cm
B 39	Za = IH / LA × t	Za =	206597.1	cm³		cm³
B 40	IH = R³ × [ VI x sin( φ/2)² + HI x cos(φ/2)² ]	IH =	5228661.02	cm³		cm³
B 41	VI = φ / 2 + ( sinφ/2 × cosφ/2 ) - [ 4 x sin(Δ/2)² / φ ]	VI =	1.15310E-5
B 42	HI = φ / 2 - ( sinφ/2 × cosφ/2 )	HI =	4.68292E-3
B 43	LA = { R×sinφ/2×sinφ/2 } / ( φ/2 ) )	LA =	199.178	cm		cm
A 44	HB : Membrance Force resulting from latitude bending moment 　HB = MKS / Zv	HB =	99.136	kg/cm		Kg/cm
B 45	MKS = Mo x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	MKS =	410136.06	kg-cm		Kg-cm
B 46	MKM = Mc x ( 18 / 4π ) × ( d / R ) × C1 × C5 × C6	MKM =	205668.67	kg-cm		Kg-cm
B 47	Zv = IV / Max(KA, KB)	Zv =	4137.125	cm³		cm²
B 48	IV = R³ × [ VI × cos( φ/2)² + HI × sin( φ/2)² ]	IV =	210413.81	cm³		cm³
B 49	KA = R × [ 1 - cosφ/2 × sinφ/2 / (φ/2) ]	KA =	25.619	cm		cm
B 50	KB = R × [ cosφ/2 × sinφ/2 / (φ/2) - cosφ ]	KB =	50.86	cm		cm
A 51	IP : Membrance Force resulting from shear stress 　IP = 9×Wt / ( 2πN·R ) × C5	IP =	323.115	kg/cm		Kg/cm
A 52	τxy : Shear Force, τxy = ( S' - P' ) / D'	τxy =	264.874	kg/cm		Kg/cm
B 53	S' = Wt/N×[ 1 - ( 18/(4π)·d/R·C5·{cos(Δ) + cos(φ)} ) ]	S' =	212572.672	kg		Kg
B 54	P' = d/R×Wt×[ 3/(4π)×{cos(Δ) - cos(Δ+φ) } ]	P' =	4143.431	kg		Kg
B 55	D' = 2×R×[sin(Δ+φ) - sinΔ](용접접촉부 길이)	D' =	786.899	cm		cm

EQ_TBL : A-B 두께차이 가 음수(-) 값으로 계산되면 EQ PLATE 의 두께를 키워야함
String CALC_EQPL_IP_VB_HB_TAU()
1.2 At Design(Operating) Condition Equator Plate(A Point at 90 deg) Stress :
D=2100 (cm), Ri=1050.3 (cm), Pg=16 (kg/cm²), HT_UPPCOL = 3934.49 (cm), deg_22 = 22.0 (deg), cos11 = 0.9816272 (rad)

Column	Hcm (cm)	Hd (cm)	Ps	Total Pressure Pt=Pg+Ps	PM = Pg×R/2	LM1 kgθ	LM2 kgφ	VB	HB	IP	τxy	ΣT1	ΣT2	A)tReq tTheroy	B)td ASME	A-B 두께차이	σeq SIG_EQ	FACT1	FACT2	FACT1 kgθ/6	Fact2 kgφ/6
degree	cm	cm	kg/cm	kg/cm²	kg/cm²	kg/cm								cm	cm	cm	SIG_EQ kg/cm²	FACT1	FACT2	FACT1 kgθ/6	Fact2 kgφ/6
0	2100.60	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
10	2084.64	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
20	2037.26	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
30	1959.89	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
40	1854.88	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
50	1725.42	0	0	16	8402.4	0	0	0.000	0.000	0.000	0.000	8402.4	8402.4	67.23	67.43	0.20	1308.15	0	0	0	0
60	1575.45	64.85	0.0292	16.0292	8402.4	29.99	0.66	0.000	0.000	0.000	0.000	8432.39	8403.06	67.35	67.55	0.20	1308.15	0.363	0.008	0.06	0.001
70	1409.52	230.78	0.1038	16.1038	8402.4	103.44	5.64	0.000	0.000	0.000	0.000	8505.84	8408.04	67.65	67.85	0.20	1308.15	1.25	0.068	0.208	0.011
80	1232.68	407.62	0.1834	16.1834	8402.4	180.97	11.68	0.000	0.000	0.000	0.000	8583.37	8414.08	67.98	68.17	0.19	1308.15	2.187	0.141	0.365	0.024
90	1050.30	590.00	0.2655	16.2655	8402.4	264.19	14.67	222.641	99.136	323.115	264.874	8790.09	8093.95	67.79	68.50	0.71	1308.15	3.193	0.177	0.532	0.03
100	867.92	772.38	0.3476	16.3476	8402.4	355.16	9.89	222.641	99.136	323.115	264.874	8881.07	8089.18	68.17	68.83	0.66	1308.15	4.293	0.12	0.715	0.02
110	691.08	949.22	0.4272	16.4272	8402.4	458.00	319.32	222.641	99.136	323.115	264.874	8983.9	8398.61	69.64	69.15	-0.49	1308.15	5.536	3.86	0.923	0.643
120	525.15	1115.15	0.5018	16.5018	8402.4	194.58	332.48	0.000	0.000	0.000	0.000	8596.98	8734.88	69.25	69.46	0.21	1308.15	2.352	4.019	0.392	0.67
130	375.18	1265.12	0.5693	16.5693	8402.4	251.43	346.51	0.000	0.000	0.000	0.000	8653.83	8748.91	69.52	69.73	0.21	1308.15	3.039	4.188	0.506	0.698
140	245.72	1394.58	0.6276	16.6276	8402.4	299.25	359.88	0.000	0.000	0.000	0.000	8701.65	8762.28	69.75	69.96	0.21	1308.15	3.617	4.35	0.603	0.725
150	140.71	1499.59	0.6748	16.6748	8402.4	337.35	371.40	0.000	0.000	0.000	0.000	8739.75	8773.8	69.94	70.15	0.21	1308.15	4.078	4.489	0.68	0.748
160	63.34	1576.96	0.7096	16.7096	8402.4	365.10	380.22	0.000	0.000	0.000	0.000	8767.5	8782.62	70.08	70.29	0.21	1308.15	4.413	4.596	0.735	0.766
170	15.96	1624.34	0.7310	16.731	8402.4	381.97	385.75	0.000	0.000	0.000	0.000	8784.37	8788.15	70.17	70.38	0.21	1308.15	4.617	4.663	0.769	0.777
180	0	1640.30	0.7381	16.7381	8402.4	387.63	387.63	0.000	0.000	0.000	0.000	8790.03	8790.03	70.19	70.41	0.22	1308.15	4.685	4.685	0.781	0.781

ΣT1 = LM1 + P×R/2 + Vb - Hb = 387.63 + 8402.4 + 0 - 0 = 8790.03 kg/cm
ΣT2 = LM2 + P×R/2 - IP = 387.63 + 8402.4 - 0 = 8790.03 kg/cm
(at 112 deg.) Equator Plate Required Thk, tReqd = √[ T1²+ T2²- ( T1 × T2 ) + 3τxy² ] / Sd + CA = 70.19 (cm)
(at 112 deg.) Equator Plate Required Thk, tReqd = 10 × (√[ 8790.03²+ 8790.03²- (8790.03×8790.03) + 3×0.0² ] / 1308.15 + 3 = 70.19 (cm)



HT_UPPCOL = 4072.0 mm, rad_22(rad) = 0.38584, deg_22(deg)= 22.10716
C1= 1.0052, C2= 1, C3= 0.8564, C4= 0.3223, C5= 1.1758
Mo = WR × cos11/N × ( N / (2×phi) - 1 / 2 × Tan( phi/N) ) = 130,336 Ton-mm
Mc = WR × cos11/N × ( 1 / ( 2×Sin( phi/N )) - N/(2×phi) ) = 65,392 Ton-mm
ΔMo = 64,683 Ton-mm
ΔMc = 30,083 Ton-mm
1. Design Condition, D = 21640 mm, DLL = 17160 mm, CA = 1.0 mm, Sd = 130.428 MPa, DLL/D(%)=[79.2976] (%)

1. IHI MEMBRANE FORMULA									2. ROARK FORMULA				3. Thickness
Angle φ	Bottom ~ Height,H	Liquid Height Hd	Fact1 (Nθ)	Fact2 (Nφ)	Fact1 Nθ/6	Fact2 Nφ/6	P=Pg+Ps	ETEQ	Rorak (Nθ)	Rorak (Nφ)	Rorak Nθ/6	Rorak Nφ/6	Req'd Thick. td_ASME	Used Thick td_JIS
deg.	mm	mm	4	5	6	7	MPa	???	10	11	12	13	mm	mm
0	21642	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
10	21477.6	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
20	20989.4	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
30	20192.3	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
40	19110.4	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
50	17776.6	0	0	0	0	0	0.5884	3183.53	0	0	0	0	25.41	25.44
60	16231.5	929.5	0.4998	0.0156	0.0833	0.0026	0.5942	3215.32	0.4998	0.0156	0.0833	0.0026	25.65	25.68
70	14522	2639	1.3777	0.0855	0.2296	0.0143	0.6049	3275.45	1.3777	0.0855	0.2296	0.0143	26.11	26.12
80	12700	4461	2.3100	0.1635	0.3850	0.0273	0.6162	3341.79	2.3100	0.1635	0.3850	0.0273	26.62	26.59
90	10821	6340	3.3143	0.2011	0.5524	0.0335	0.6280	3413.37	3.3143	0.2011	0.5524	0.0335	27.17	27.08
100	8942	8219	4.4153	0.1419	0.7359	0.0237	0.6397	3490.20	4.4153	0.1419	0.7359	0.0237	27.76	27.57
110	7120	10041	5.6632	3.9320	0.9439	0.6553	0.6510	3772.12	5.6632	3.9317	0.9439	0.6553	29.92	28.04
120	5410.5	11750.5	2.4244	4.0910	0.4041	0.6818	0.6617	3584.51	2.4241	4.0907	0.4040	0.6818	28.48	28.48
130	3865.4	13295.6	3.1114	4.2607	0.5186	0.7101	0.6714	3634.37	3.1111	4.2604	0.5185	0.7101	28.86	28.89
140	2531.6	14629.4	3.6894	4.4223	0.6149	0.7370	0.6797	3678.19	3.6891	4.4220	0.6149	0.7370	29.2	29.23
150	1449.7	15711.3	4.1500	4.5615	0.6917	0.7603	0.6864	3714.15	4.1497	4.5613	0.6916	0.7602	29.48	29.51
160	652.6	16508.4	4.4854	4.6682	0.7476	0.7780	0.6914	3740.86	4.4851	4.6679	0.7475	0.7780	29.68	29.72
170	164.4	16996.6	4.6893	4.7350	0.7815	0.7892	0.6944	3757.29	4.6890	4.7347	0.7815	0.7891	29.81	29.85
180	0	17161	4.7577	4.7577	0.7929	0.7929	0.6955	3762.84	4.7574	4.7574	0.7929	0.7929	29.85	29.89

2. Hydrostatic-Condition, D = 21640 mm, DLL = 17160 mm, CA = 1.0 mm, Sd = 130.428 MPa, DLL/D(%)=[79.2976] (%)

1. IHI MEMBRANE FORMULA									2. ROARK FORMULA				3. Thickness
Angle φ	Bottom ~ Height,H	Liquid Height Hd	Fact1 (Nθ)	Fact2 (Nφ)	Fact1 Nθ/6	Fact2 Nφ/6	P=Pg+Ps	ETEQ	Rorak (Nθ)	Rorak (Nφ)	Rorak Nθ/6	Rorak Nφ/6	Req'd Thick. td_ASME	Used Thick td_JIS
deg.	mm	mm	4	5	6	7	MPa	???	10	11	12	13	mm	mm
0	21640	0	0	0	0	0	0.7355	3979.05	0	0	0	0	12.63	12.64
10	21475.6	164.4	0.0684	0.0227	0.0114	0.0038	0.7365	3984.60	0.0684	0.0227	0.0114	0.0038	12.65	12.66
20	20987.5	652.5	0.2723	0.0895	0.0454	0.0149	0.7396	4001.12	0.2723	0.0895	0.0454	0.0149	12.7	12.71
30	20190.4	1449.6	0.6077	0.1962	0.1013	0.0327	0.7445	4028.21	0.6077	0.1962	0.1013	0.0327	12.79	12.79
40	19108.6	2531.4	1.0683	0.3354	0.1780	0.0559	0.7513	4065.23	1.0683	0.3354	0.1780	0.0559	12.91	12.91
50	17775	3865	1.6463	0.4970	0.2744	0.0828	0.7596	4111.29	1.6463	0.4970	0.2744	0.0828	13.05	13.05
60	16230	5410	2.3333	0.6667	0.3889	0.1111	0.7693	4165.36	2.3333	0.6667	0.3889	0.1111	13.22	13.22
70	14520.7	7119.3	3.1222	0.8257	0.5204	0.1376	0.7799	4226.29	3.1222	0.8257	0.5204	0.1376	13.42	13.4
80	12698.9	8941.1	4.0095	0.9486	0.6682	0.1581	0.7913	4292.99	4.0095	0.9486	0.6682	0.1581	13.63	13.6
90	10820	10820	5.0000	1.0000	0.8333	0.1667	0.8030	4364.69	5.0000	1.0000	0.8333	0.1667	13.86	13.8
100	8941.1	12698.9	6.1149	0.9270	1.0191	0.1545	0.8147	4441.49	6.1149	0.9270	1.0191	0.1545	14.1	14
110	7119.3	14520.7	7.4077	5.1743	1.2346	0.8624	0.8261	4750.75	7.4077	5.1743	1.2346	0.8624	15.08	14.2
120	5410	16230	3.6667	5.3333	0.6111	0.8889	0.8368	4530.28	3.6667	5.3333	0.6111	0.8889	14.38	14.38
130	3865	17775	4.3537	5.5030	0.7256	0.9172	0.8464	4580.62	4.3537	5.5030	0.7256	0.9172	14.54	14.55
140	2531.4	19108.6	4.9317	5.6646	0.8220	0.9441	0.8547	4624.68	4.9317	5.6646	0.8220	0.9441	14.68	14.69
150	1449.6	20190.4	5.3923	5.8038	0.8987	0.9673	0.8615	4660.75	5.3923	5.8038	0.8987	0.9673	14.8	14.81
160	652.5	20987.5	5.7277	5.9105	0.9546	0.9851	0.8664	4687.50	5.7277	5.9105	0.9546	0.9851	14.88	14.89
170	164.4	21475.6	5.9316	5.9773	0.9886	0.9962	0.8695	4703.94	5.9316	5.9773	0.9886	0.9962	14.93	14.94
180	0	21640	6.0000	6.0000	1.0000	1.0000	0.8705	4709.48	6.0000	6.0000	1.0000	1.0000	14.95	14.96

1. Spherical tank Design data

No.	Descriotion	Symbol	Value	Unit	Value	Unit
0	Design Code	:	ASME 2015 ED, DIVISION 2
1	Fluid name	:	PROPANE
2	Inside diameter of sphere	D =	21640	mm	851.969	inch
3	Design Liquid Level	DLL =	17160	mm	675.591	inch
4	Hydrostatic-test Level (Full Liquid, HTL=D)	HTL =	21640	mm	851.969	inch
5	Corrosion allowance of shell plate	CA =	1.0	mm	0.039	inch
6	Tank Diameter (Corroded condition), Dc = D +2CA	Dc =	21642	mm	852.047	inch
7	Tank Radius (Corroded condition), R = Dc /2	R =	10821	mm	426.024	inch
8	Design Intenal Pressure, Pg = 588.4 kPa	Pg =	0.5884	MPa	85.34	psi
9	Design External Pressure, Pe = 5 kPa	Pe =	0.005	MPa	0.725	psi
10	Hydrostatic-test Test Pressure, Pt = 735.5 kPa	Pt =	0.7355	MPa	106.675	psi
11	Specific Gravity of Liquid	SG =	0.636
12	Liquid Density, γ=636 kg/m³, γ=6239.16 N/m³	γ =	6.2392E-6	N/mm³
13	Joint efficiency of shell plate	E =	1.0
14	Shell Material	:	A537-CL2
15	Tensile Strength	Ft =	515.0	MPa	74,694	psi
16	Yield Strength	Fy =	350.0	MPa	50,763	psi
17	Allowable Stress at operating condition	Sd =	130.428	MPa	18,917	psi
18	Allowable Stress at Hydrostatic-test condition	St =	315.0	MPa	45,687	psi
19	SPARE	SP1 =
20	SPARE	SP1 =
21	SPARE	SP1 =
22	SPARE	SP1 =

1) ASME SEC VIII. Div. 1,2 - Design Condition
D = 21640 mm, DLL = 17160 mm, CA = 1.0 mm, SG=0.636, Sd=130.428445 MPa, DLL/D(%)=[79.2976] (%)

Seg. No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	Static Head Ps=γ×Hd	Design Pressure Pg	Total Pressure P=Ps+Pg	Allow. Strsss Sd	Req'd Thick. td	Used Thick tu	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	ET1	ET2	FACT1 (Nθ)	FACT2 (Nφ)	FACT1 Nθ/6	FACT2 Nφ/6
#	deg.	mm	mm	kPa	kPa	kPa	MPa	mm	mm	kg/cm					F1	F2	F1/6	F2/6
A1	0	21642.0	0	0	588.4	588.40	130.43	25.42	26.5	3246.3	0	0	3246.30	3246.30	0	0	0	0
A2	7.0	21561.3	0	0		588.40		25.42	26.5	3246.3	0	0	3246.30	3246.30	0	0	0	0
A3	21.0	20923.3	0	0		588.40		25.42	26.5	3246.3	0	0	3246.30	3246.30	0	0	0	0
A4	64.0	15564.6	1596.4	9.96		598.36		25.83	27.0	3246.3	105.01	4.89	3351.31	3251.19	0.84575	0.03941	0.14096	0.00657
A5	90.0	10821.0	6340.0	39.56		627.96		27.06	28.5	3246.3	411.51	466.56	3657.80	3712.86	3.31426	3.75769	0.55238	0.62628
A6	116.0	6077.4	11083.6	69.15		657.55		28.29	29.5	3246.3	263.31	499.74	3509.61	3746.04	2.12072	4.0249	0.35345	0.67082
A7	159.0	718.7	16442.3	102.59		690.98		29.68	31.0	3246.3	553.47	578.50	3799.77	3824.80	4.45766	4.6592	0.74294	0.77653
A8	173.0	80.7	17080.3	106.57		694.97		29.84	31.0	3246.3	586.56	589.34	3832.86	3835.64	4.72414	4.74653	0.78736	0.79109
A9	180.0	0	17161.0	107.07		695.47		29.87	31.0	3246.3	590.72	590.72	3837.02	3837.02	4.75769	4.75769	0.79295	0.79295

2) ASME SEC VIII. Div. 1,2 - Hydrostatic-test Condition
D = 21640 mm, DLL = 17160 mm, CA = 0.0 mm, SG=1.0, Sd=130.428445 MPa, DLL/D(%)=[79.2976] (%)

Seg. No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	Static Head Ps=γ×Hd	Design Pressure Pg	Total Pressure P=Ps+Pg	Allow. Strsss Sd	Req'd Thick. td	Used Thick tu	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	ET1	ET2	FACT1 (Nθ)	FACT2 (Nφ)	FACT1 Nθ/6	FACT2 Nφ/6
#	deg.	mm	mm	kPa	kPa	kPa	MPa	mm	mm	kg/cm					F1	F2	F1/6	F2/6
A1	0	21640.0	0	0	735.5	735.50	130.43	30.52	31.5	4057.5	0	0	4057.50	4057.50	0	0	0	0
A2	7.0	21559.3	80.7	0.79		736.29		30.56	32.0	4057.5	6.55	2.18	4064.05	4059.68	0.03356	0.01117	0.00559	0.00186
A3	21.0	20921.3	718.7	7.05		742.55		30.82	32.0	4057.5	58.56	19.22	4116.06	4076.72	0.30003	0.09849	0.05	0.01641
A4	64.0	15563.2	6076.8	59.61		795.11		33.00	34.0	4057.5	514.70	143.03	4572.20	4200.53	2.63698	0.7328	0.4395	0.12213
A5	90.0	10820.0	10820.0	106.14		841.64		34.93	36.0	4057.5	975.94	975.94	5033.44	5033.44	5	5	0.83333	0.83333
A6	116.0	6076.8	15563.2	152.67		888.17		36.87	38.0	4057.5	656.42	1028.09	4713.92	5085.59	3.36302	5.2672	0.5605	0.87787
A7	159.0	718.7	20921.3	205.24		940.74		39.05	40.5	4057.5	1112.56	1151.90	5170.06	5209.40	5.69997	5.90151	0.95	0.98359
A8	173.0	80.7	21559.3	211.50		947.00		39.31	40.5	4057.5	1164.57	1168.94	5222.07	5226.44	5.96644	5.98883	0.99441	0.99814
A9	180.0	0	21640.0	212.29		947.79		39.34	40.5	4057.5	1171.12	1171.12	5228.62	5228.62	6	6	1	1

3) SHEAR STRESS THEORY - Design Condition
D = 21640 mm, DLL = 17160 mm, CA = 1.0 mm, SG=0.636, Sd=130.428445 MPa, DLL/D(%)=[79.2976] (%)

1) IHI 기술자료													2) Roarks-formulas (Table 13.1.3. Spherical)
Seg. No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	T1= LM1+PM	T2= LM2+PM	Allow. Strsss Sd	Reqd Thk. td	Used Thk. tu	Angle φ	Cos(φ)	Roark (Nθ)	Roark (Nφ)	Roark LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	σ1 =σθ	σ2 =σφ	σeq	σeq / Sd < 1.0 OK	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	ET1	ET2	FACT1 (Nθ)	FACT2 (Nφ)	FACT1 Nθ/6	FACT2 Nφ/6
#	deg.	mm	mm	N/mm	N/mm	N/mm	N/mm	N/mm	N/mm	MPa	mm	mm	Deg.		N/mm	N/mm	N/mm	MPa	MPa	MPa		kg/cm					F1	F2	F1/6	F2/6
B1	0	21642.0	0	3183.53	0	0	0	3183.53	3183.53	130.43	25.41	26.5	0	1.00000	0	0	0	124.8	124.8	124.8	0.957 < 1.0	3246.3	0	0	3246.30	3246.30	0	0	0	0
B2	7.0	21561.3	0		0	0	0	3183.53	3183.53		25.41	26.5	7	0.99255	0	0	0	124.8	124.8	124.8	0.957 < 1.0	3246.3	0	0	3246.30	3246.30	0	0	0	0
B3	21.0	20923.3	0		0	0	0	3183.53	3183.53		25.41	26.5	21	0.93358	0	0	0	124.8	124.8	124.8	0.957 < 1.0	3246.3	0	0	3246.30	3246.30	0	0	0	0
B4	64.0	15564.6	1596.4		102.98	4.80	100.67	3286.51	3188.33		25.83	27.0	64	0.43837	102.98	4.80	100.67	126.4	122.6	124.6	0.955 < 1.0	3246.3	105.01	4.89	3351.31	3251.19	0.84575	0.03941	0.14096	0.00657
B5	90.0	10821.0	6340.0		403.55	457.54	433.08	3587.08	3641.07		28.71	30.0	90	0	403.55	457.54	433.08	130.4	132.4	131.4	1.008 > 1.0 NG	3246.3	411.51	466.56	3657.80	3712.86	3.31426	3.75769	0.55238	0.62628
B6	116.0	6077.4	11083.6		258.22	490.08	424.62	3441.75	3673.61		28.32	29.5	116	-0.43837	258.19	490.04	424.59	120.8	128.9	125.0	0.959 < 1.0	3246.3	263.31	499.74	3509.61	3746.04	2.12072	4.02490	0.35345	0.67082
B7	159.0	718.7	16442.3		542.77	567.31	555.45	3726.30	3750.84		29.66	31.0	159	-0.93358	542.74	567.28	555.41	124.2	125.0	124.6	0.955 < 1.0	3246.3	553.47	578.50	3799.77	3824.80	4.45766	4.65920	0.74294	0.77653
B8	173.0	80.7	17080.3		575.22	577.94	576.59	3758.75	3761.48		29.83	31.0	173	-0.99255	575.18	577.91	576.55	125.3	125.4	125.3	0.961 < 1.0	3246.3	586.56	589.34	3832.86	3835.64	4.72414	4.74653	0.78736	0.79109
B9	180.0	0	17161.0		579.30	579.30	579.30	3762.84	3762.84		29.85	31.0	180	-1.00000	579.27	579.27	579.27	125.4	125.4	125.4	0.962 < 1.0	3246.3	590.72	590.72	3837.02	3837.02	4.75769	4.75769	0.79295	0.79295

4) SHEAR STRESS THEORY - Hydrostatic-test Condition
D = 21640 mm, DLL = 17160 mm, CA = 0.0 mm, SG=1.0, Sd=130.428445 MPa, DLL/D(%)=[79.2976] (%)

1) IHI 기술자료													2) Roarks-formulas (Table 13.1.3. Spherical)
Seg. No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	T1= LM1+PM	T2= LM2+PM	Allow. Strsss Sd	Reqd Thk. td	Used Thk. tu	Angle φ	Cos(φ)	Roark (Nθ)	Roark (Nφ)	Roark LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	σ1 =σθ	σ2 =σφ	σeq	σeq / Sd < 1.0 OK	PM= Pg×R/2	LM1 (Nθ)	LM2 (Nφ)	ET1	ET2	FACT1 (Nθ)	FACT2 (Nφ)	FACT1 Nθ/6	FACT2 Nφ/6
#	deg.	mm	mm	N/mm	N/mm	N/mm	N/mm	N/mm	N/mm	MPa	mm	mm	Deg.		N/mm	N/mm	N/mm	MPa	MPa	MPa		kg/cm					F1	F2	F1/6	F2/6
B1	0	21640.0	0	3979.05	0	0	0	3979.05	3979.05	130.43	30.51	31.5	0	1.00000	0	0	0	126.3	126.3	126.3	0.968 < 1.0	4057.5	0	0	4057.50	4057.50	0	0	0	0
B2	7.0	21559.3	80.7		6.42	2.14	5.67	3985.47	3981.19		30.54	31.5	7	0.99255	6.42	2.14	5.67	124.5	124.4	124.5	0.954 < 1.0	4057.5	6.55	2.18	4064.05	4059.68	0.03356	0.01117	0.00559	0.00186
B3	21.0	20921.3	718.7		57.43	18.85	50.70	4036.48	3997.90		30.80	32.0	21	0.93358	57.43	18.85	50.70	126.1	124.9	125.5	0.963 < 1.0	4057.5	58.56	19.22	4116.06	4076.72	0.30003	0.09849	0.05000	0.01641
B4	64.0	15563.2	6076.8		504.75	140.27	451.28	4483.80	4119.32		33.07	34.5	64	0.43837	504.75	140.27	451.28	131.9	121.2	126.9	0.973 < 1.0	4057.5	514.70	143.03	4572.20	4200.53	2.63698	0.73280	0.43950	0.12213
B5	90.0	10820.0	10820.0		957.07	957.07	957.07	4936.12	4936.12		37.85	39.0	90	0	957.07	957.07	957.07	137.1	137.1	137.1	1.051 > 1.0 NG	4057.5	975.94	975.94	5033.44	5033.44	5.00000	5.00000	0.83333	0.83333
B6	116.0	6076.8	15563.2		643.73	1008.21	884.23	4622.78	4987.26		36.92	38.0	116	-0.43837	643.73	1008.21	884.23	121.7	131.2	126.7	0.972 < 1.0	4057.5	656.42	1028.09	4713.92	5085.59	3.36302	5.26720	0.56050	0.87787
B7	159.0	718.7	20921.3		1091.05	1129.63	1110.84	5070.10	5108.68		39.02	40.0	159	-0.93358	1091.05	1129.63	1110.84	125.2	126.1	125.7	0.963 < 1.0	4057.5	1112.56	1151.90	5170.06	5209.40	5.69997	5.90151	0.95000	0.98359
B8	173.0	80.7	21559.3		1142.06	1146.34	1144.21	5121.11	5125.39		39.28	40.5	173	-0.99255	1142.06	1146.34	1144.21	126.4	126.6	126.5	0.970 < 1.0	4057.5	1164.57	1168.94	5222.07	5226.44	5.96644	5.98883	0.99441	0.99814
B9	180.0	0	21640.0		1148.48	1148.48	1148.48	5127.53	5127.53		39.31	40.5	180	-1.00000	1148.48	1148.48	1148.48	126.6	126.6	126.6	0.971 < 1.0	4057.5	1171.12	1171.12	5228.62	5228.62	6.00000	6.00000	1.00000	1.00000

B-1) 운전시, 각도별로 Shear Stress 분석 - Design Condition

1) IHI 기술자료													2) Roarks-formulas (Table 13.1.3. Spherical)									3)Membrane Stres coefficient due to Liquid Pressure 내부압력에 의한 막응력 계수						4) Spherical Tank Theroy_원본.pdf 논문자료에 의한 검증
No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	PM= Pg×R/2	LM1 =(Nφ)	LM2 (Nφ)	LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	T1= PM+Nθ	T2= PM+Nφ	Allow. Strsss Sd	Reqd Thk. td	Used Thk. tu	Angle φ	Cos(φ)	Roark (Nθ)	Roark (Nφ)	Roark LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	σ1 σθ	σ2 σφ	σeq2	σeq / Sd < 1.0 OK	수평 Fθ	수직 Fφ	수평 Fθ/6	수직 Fφ/6	VA (Nφ) 인장	VB (Nφ) 압축	VS = (VB-VA)× Cos(φ-90)	HS = (VB-VA)× Sin(φ-90)	VF = γR²×VS 수직막력	HF = γR²×HS 수평막력	수직력= πD×VF/Nc 1개컬럼	수평력= πD×HF/Nc 1개컬럼	액하중 검증계산 =πD×VF
#	deg.	mm	mm	N/mm	N/mm	N/mm	N/mm	N/mm	N/mm	MPa	mm	mm	Deg.		N/mm	N/mm	N/mm	MPa	MPa	MPa				Fθ/6	Fφ/6	0	1	2	3	N/mm	N/mm	Ton	Ton	Ton
1	0	21642.0	0	3183.53	0	0	0	3183.53	3183.53	130.43	25.41	26.5	0	1.00000	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
2	10	21477.6	0		0	0	0	3183.53	3183.53		25.41	26.5	10	0.98481	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
3	20	20989.4	0		0	0	0	3183.53	3183.53		25.41	26.5	20	0.93969	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
4	30	20192.3	0		0	0	0	3183.53	3183.53		25.41	26.5	30	0.86603	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
5	40	19110.4	0		0	0	0	3183.53	3183.53		25.41	26.5	40	0.76604	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
6	50	17776.6	0		0	0	0	3183.53	3183.53		25.41	26.5	50	0.64279	0	0	0	86.0	86.0	86.0	0.660 < 1.0 OK	0	0	0	0	0	0	0	0	0	0	0.000	0.000
7	60	16231.5	929.5		60.85	1.90	59.93	3244.39	3185.43		25.65	27.0	60	0.50000	60.85	1.90	59.93	87.7	86.1	86.9	0.666 < 1.0 OK	0.49978	0.01560	0.08330	0.00260	0.0026	0.7929	0.6845	-0.3952	500.05	-288.70	288.807	-166.743
8	70	14522.0	2639.0		167.75	10.42	162.80	3351.29	3193.95		26.11	27.5	70	0.34202	167.75	10.42	162.80	90.6	86.3	88.5	0.679 < 1.0 OK	1.37773	0.08554	0.22962	0.01426	0.0143	0.6855	0.6308	-0.2296	460.85	-167.73	266.166	-96.876
9	80	12700.0	4461.0		281.27	19.91	271.86	3464.80	3203.44		26.62	28.0	80	0.17365	281.27	19.91	271.86	93.6	86.6	90.3	0.692 < 1.0 OK	2.30997	0.16353	0.38500	0.02725	0.0273	0.6384	0.6019	-0.1061	439.73	-77.54	253.972	-44.782	3047.7
10	90	10821.0	6340.0		403.55	24.49	391.88	3587.08	3208.02		27.17	28.5	90	0	-29.54	457.51	472.97	96.9	86.7	92.3	0.707 < 1.0 OK	3.31426	0.20112	0.55238	0.03352	0.0335	0.6263	0.5928	0	433.05	0	250.114	0.000	3001.4
11	100	8942.0	8219.0		537.62	17.28	529.19	3721.15	3200.81		27.76	29.0	100	-0.17365	91.07	463.76	425.60	100.6	86.5	94.3	0.723 < 1.0 OK	4.41534	0.14193	0.73589	0.02366	0.0237	0.6348	0.6019	0.1061	439.73	77.54	253.972	44.782	3047.7
12	110	7120.0	10041.0		689.56	478.77	612.02	3873.09	3662.30		29.92	31.0	110	-0.34202	199.11	478.74	416.55	104.7	99.0	101.9	0.782 < 1.0 OK	5.66321	3.93202	0.94387	0.65534	-0.0159	0.6553	0.6308	0.2296	460.85	167.73	266.166	96.876	3194
13	120	5410.5	11750.5		295.19	498.13	433.85	3478.73	3681.66		28.48	29.5	120	-0.50000	295.16	498.10	433.82	94.0	99.5	96.9	0.743 < 1.0 OK	2.42436	4.09103	0.40406	0.68184	-0.1085	0.6818	0.6845	0.3952	500.05	288.70	288.807	166.743	3465.7
14	130	3865.4	13295.6		378.85	518.79	464.89	3562.38	3702.32		28.86	30.0	130	-0.64279	378.81	518.76	464.86	96.3	100.1	98.2	0.753 < 1.0 OK	3.11140	4.26071	0.51857	0.71012	-0.3000	0.7101	0.7738	0.6493	565.31	474.35	326.501	273.966	3918
15	140	2531.6	14629.4		449.23	538.46	499.85	3632.76	3721.99		29.20	30.5	140	-0.76604	449.19	538.43	499.82	98.2	100.6	99.4	0.762 < 1.0 OK	3.68940	4.42226	0.61490	0.73704
16	150	1449.7	15711.3		505.31	555.42	532.14	3688.84	3738.95		29.48	30.5	150	-0.86603	505.28	555.39	532.10	99.7	101.1	100.4	0.770 < 1.0 OK	4.15000	4.56154	0.69167	0.76026
17	160	652.6	16508.4		546.15	568.40	557.61	3729.68	3751.94		29.68	31.0	160	-0.93969	546.11	568.37	557.57	100.8	101.4	101.1	0.775 < 1.0 OK	4.48537	4.66817	0.74756	0.77803
18	170	164.4	16996.6		570.97	576.54	573.77	3754.50	3760.07		29.81	31.0	170	-0.98481	570.94	576.50	573.74	101.5	101.6	101.5	0.779 < 1.0 OK	4.68927	4.73496	0.78155	0.78916
19	180	0	17161.0		579.30	579.30	579.30	3762.84	3762.84		29.85	31.0	180	-1.00000	579.27	579.27	579.27	101.7	101.7	101.7	0.780 < 1.0 OK	4.75769	4.75769	0.79295	0.79295

B-2) 수압시, 각도별로 Shear Stress 분석 - Hydrostatic-test Condition

1) IHI 기술자료													2) Roarks-formulas (Table 13.1.3. Spherical)									3)Membrane Stres coefficient due to Liquid Pressure 내부압력에 의한 막응력 계수						4) Spherical Tank Theroy_원본.pdf 논문자료에 의한 검증
No.	Angle φ	Bottom ~ Height,H	Liquid Height Hd	PM= Pg×R/2	LM1 =(Nφ)	LM2 (Nφ)	LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	T1= PM+Nθ	T2= PM+Nφ	Allow. Strsss Sd	Reqd Thk. td	Used Thk. tu	Angle φ	Cos(φ)	Roark (Nθ)	Roark (Nφ)	Roark LMeq= √Nθ²+Nφ² -(Nθ×Nφ)	σ1 σθ	σ2 σφ	σeq2	σeq / Sd < 1.0 OK	수평 Fθ	수직 Fφ	수평 Fθ/6	수직 Fφ/6	VA (Nφ) 인장	VB (Nφ) 압축	VS = (VB-VA)× Cos(φ-90)	HS = (VB-VA)× Sin(φ-90)	VF = γR²×VS 수직막력	HF = γR²×HS 수평막력	수직력= πD×VF/Nc 1개컬럼	수평력= πD×HF/Nc 1개컬럼	액하중 검증계산 =πD×VF
#	deg.	mm	mm	N/mm	N/mm	N/mm	N/mm	N/mm	N/mm	MPa	mm	mm	Deg.		N/mm	N/mm	N/mm	MPa	MPa	MPa				Fθ/6	Fφ/6	0	1	2	3	N/mm	N/mm	Ton	Ton	Ton
1	0	21640.0	0	3979.05	0	0	0	3979.05	3979.05	130.43	30.51	31.5	0	1.00000	0	0	0	104.7	104.7	104.7	0.803 < 1.0 OK	0	0	0	0	0	0	0	0	∞	∞	∞	∞
2	10	21475.6	164.4		13.10	4.35	11.55	3992.15	3983.40		30.57	32.0	10	0.98481	13.10	4.35	11.55	105.1	104.8	104.9	0.805 < 1.0 OK	0.06842	0.02273	0.01140	0.00379	0.0038	22.1127	3.8392	-21.7731	4409.22	-25005.94	2546.355	-14441.096
3	20	20987.5	652.5		52.13	17.14	46.02	4031.17	3996.18		30.77	32.0	20	0.93969	52.13	17.14	46.02	106.1	105.2	105.6	0.810 < 1.0 OK	0.27232	0.08952	0.04539	0.01492	0.0149	5.7140	1.9492	-5.3554	2238.62	-6150.56	1292.818	-3551.989
4	30	20190.4	1449.6		116.32	37.55	102.82	4095.37	4016.59		31.10	32.5	30	0.86603	116.32	37.55	102.82	107.8	105.7	106.8	0.818 < 1.0 OK	0.60770	0.19615	0.10128	0.03269	0.0327	2.6994	1.3333	-2.3094	1531.31	-2652.30	884.340	-1531.721
5	40	19108.6	2531.4		204.49	64.21	181.13	4183.53	4043.26		31.55	33.0	40	0.76604	204.49	64.21	181.13	110.1	106.4	108.3	0.830 < 1.0 OK	1.06830	0.33544	0.17805	0.05591	0.0559	1.6694	1.0371	-1.2360	1191.15	-1419.55	687.894	-819.800
6	50	17775.0	3865.0		315.12	95.13	279.95	4294.17	4074.18		32.11	33.5	50	0.64279	315.12	95.13	279.95	113.0	107.2	110.2	0.845 < 1.0 OK	1.64629	0.49698	0.27438	0.08283	0.0828	1.2189	0.8703	-0.7302	999.49	-838.67	577.212	-484.338
7	60	16230.0	5410.0		446.63	127.61	398.46	4425.68	4106.66		32.78	34.0	60	0.50000	446.63	127.61	398.46	116.5	108.1	112.5	0.863 < 1.0 OK	2.33333	0.66667	0.38889	0.11111	0.1111	1.0000	0.7698	-0.4444	884.10	-510.44	510.574	-294.780
8	70	14520.7	7119.3		597.63	158.04	536.37	4576.68	4137.09		33.53	34.5	70	0.34202	597.63	158.04	536.37	120.4	108.9	115.1	0.882 < 1.0 OK	3.12221	0.82567	0.52037	0.13761	0.1376	0.8926	0.7095	-0.2582	814.79	-296.56	470.547	-171.265
9	80	12698.9	8941.1		767.47	181.58	694.71	4746.52	4160.63		34.37	35.5	80	0.17365	767.47	181.58	694.71	124.9	109.5	118.0	0.904 < 1.0 OK	4.00950	0.94862	0.66825	0.15810	0.1581	0.8455	0.6770	-0.1194	777.46	-137.09	448.991	-79.169	5387.9
10	90	10820.0	10820.0		957.07	191.41	877.17	4936.12	4170.46		35.28	36.5	90	0	191.41	957.07	877.17	129.9	109.7	121.1	0.928 < 1.0 OK	5.00000	1.00000	0.83333	0.16667	0.1667	0.8333	0.6667	0	765.65	0	442.170	0.000	5306
11	100	8941.1	12698.9		1170.47	177.44	1092.61	5149.52	4156.49		36.28	37.5	100	-0.17365	381.01	966.90	843.61	135.5	109.4	124.5	0.955 < 1.0 OK	6.11487	0.92702	1.01914	0.15450	0.1545	0.8419	0.6770	0.1194	777.46	137.09	448.991	79.169	5387.9
12	110	7119.3	14520.7		1417.93	990.44	1259.81	5396.98	4969.48		39.84	41.0	110	-0.34202	550.85	990.44	859.54	142.0	130.8	136.7	1.048 < 1.0 OK	7.40769	5.17433	1.23461	0.86239	0.1074	0.8624	0.7095	0.2582	814.79	296.56	470.547	171.265	5646.6
13	120	5410.0	16230.0		701.85	1020.87	904.58	4680.90	4999.92		37.17	38.5	120	-0.50000	701.85	1020.87	904.58	123.2	131.6	127.6	0.978 < 1.0 OK	3.66667	5.33333	0.61111	0.88889	0	0.8889	0.7698	0.4444	884.10	510.44	510.574	294.780	6126.9
14	130	3865.0	17775.0		833.36	1053.35	962.40	4812.41	5032.40		37.77	39.0	130	-0.64279	833.36	1053.35	962.40	126.6	132.4	129.6	0.994 < 1.0 OK	4.35371	5.50302	0.72562	0.91717	-0.2189	0.9172	0.8703	0.7302	999.49	838.67	577.212	484.338	6926.5
15	140	2531.4	19108.6		943.99	1084.27	1021.38	4923.04	5063.32		38.29	39.5	140	-0.76604	943.99	1084.27	1021.38	129.6	133.2	131.4	1.008 < 1.0 OK	4.93170	5.66456	0.82195	0.94409
16	150	1449.6	20190.4		1032.16	1110.93	1073.72	5011.21	5089.98		38.73	40.0	150	-0.86603	1032.16	1110.93	1073.72	131.9	133.9	132.9	1.019 < 1.0 OK	5.39230	5.80385	0.89872	0.96731
17	160	652.5	20987.5		1096.35	1131.34	1114.26	5075.40	5110.39		39.05	40.0	160	-0.93969	1096.35	1131.34	1114.26	133.6	134.5	134.0	1.028 < 1.0 OK	5.72768	5.91048	0.95461	0.98508
18	170	164.4	21475.6		1135.38	1144.13	1139.78	5114.43	5123.18		39.25	40.5	170	-0.98481	1135.38	1144.13	1139.78	134.6	134.8	134.7	1.033 < 1.0 OK	5.93158	5.97727	0.98860	0.99621
19	180	0	21640.0		1148.48	1148.48	1148.48	5127.53	5127.53		39.31	40.5	180	-1.00000	1148.48	1148.48	1148.48	134.9	134.9	134.9	1.035 < 1.0 OK	6.00000	6.00000	1.00000	1.00000

S-Tank Engineering	TANK STRENGTH CALCULATION				Page	[$CP] / [$TP]
					[AAA1]	[AAA2]
	Doc. No. : AAA3				Rev. No.	[AAA4]

1) Column OD 1067.0 x 15.9 (mm) [API 5L-X52] id_Col = [7] Ac=[52504.0] mm², Wo = [5700.7] Ton, Wt = [11648.9] Ton, KL = [13922.0] mm,
Ft = 460.0 MPa , Fy = 360.0 MPa, Fcr = 323.42 MPa , Fa = 193.66 MPa , fc = 155.41 MPa , fc_Fa = 0.802
Ft = 4690.69 kg/cm² , Fy = 3670.98 kg/cm², Fcr = 3297.97 kg/cm² , Fa = 1974.78 kg/cm² , fc = 1584.74 kg/cm² , fc_Fa = 0.802

2) BRACE OD 406.4 x 11.1 (mm) [API 5L-X52] id_Bra = [7] KL = [7552.0] mm, Abr=[13785.0] mm², f = [175.6] Ton,
Ftbr = 460.0 MPa , Fybr = 360.0 MPa, Fbr = 288.1 MPa , Fabr = 172.51 MPa , fb = 124.92 MPa , fc_Fa = 0.7241
Ftbr = 4690.69 kg/cm² , Fybr = 3670.98 kg/cm², Fbr = 2937.8 kg/cm² , Fabr = 1759.11 kg/cm² , fb = 4690.69 kg/cm² , fb_Fabr = 0.7241


String GET_ASME_STRESS( String SA537-CL1, int 1, double 124.9, double optThk, double rvd[] );
ASA[divNo][1][3] = [0.0, ] MPa
INIT_ASME_ALLOWABLE_STRESS()
String GET_ASME_STRESS( String SA537-CL2, int 1, double 124.9, double optThk, double rvd[] );
ASA[divNo][1][3] = [118.0, ] MPa
String GET_ASME_STRESS( String SA553-TY, int 1, double 65.31451952, double optThk, double rvd[] );
ASA[divNo][1][3] = [118.0, ] MPa

S-Tank Engineering	TANK STRENGTH CALCULATION SHEET				Page	22 / 41
					PJT NO.	STE-1234567
	Doc. No. : TK-215303 A-H (8 UNITS)				Rev. No.	A

아래 내용은 Spherical Tank 강도계산 프로그램에서의 계산 샘플임 (참고용)
7. SEISMIC LOAD CALCULATION
  A. 탱크의 내진설계 ( 가스시설 내진설계기준 KGS GC203 + KDS 41 17 00)

1. 지진계수 Seismic Data ( KGS GC203 2018년 + KDS 41 17 00)
	Description	Symbol	붕괴방지	기능수행	Units	Remark
	중요도 등급 : GC203 표2.2.1.2.2		특	특		2
	내진 등급 : GC203 표2.2.3.1 내진등급 분류		내진 특	내진 특		3
	- 재현주기 : GC203 표2.4 가스시설 내진성능목표	RYEAR =	2400	200	년	4
	- 위험도계수 ( I ) : GC203 표2.5.3.2 위험도 계수	I =	2.00	0.73		5
	탱크 설치 지역 : GC203 표2.5.3.1 지진구역	지역 =	충남보령	충남보령		6
	지역 계수 ( Z ) : GC203 표2.5.3.1 지진구역계수(Z)	Z =	0.11	0.11	g	7
	유효수평지반가속도 S = Z × I	S =	0.2200	0.0803	g	8
	지반의 분류 : 표.2.5.5 지반의 분류 ( Ground Type )	SOIL =	S4	S4		9
	단주기 증폭계수 : 지반증폭 계수 (GC203 표 2.5.6.1.2)	Fa =	1.3600	1.6000		10
	장주기 증폭계수 : 지반증폭 계수 (GC203 표 2.5.6.1.2)	Fv =	1.9600	2.2000	g	11
	유효 지반가속도 (EGA = Fa · S)	EGA = Fa · S	0.2992	0.1092	g	12
2. 표준설계응답스펙트럼 지반가속도 계산, Sa(T)
	단주기 설계 스펙트럼 가속도, Sa(Max) = 2.5·Fa·S	Sa(Max) =	0.748	0.321	g	15
	1 sec. 설계 스펙트럼 가속도, Sa(1 sec) = Fv·S	Sa(1 sec) =	0.431	0.177	g	16
	전이주기의 계산 :	To = 0.2·Ts =	0.115	0.110	sec	17
	KGS GC203(2018) 그림 2.5.6.1.2	Ts=Fv/(2.5·Fa) =	0.576	0.550	sec	18
	설계응답스펙트럼 전이주기, GC203 표 2.5.6.1.1(1)	TL =	3.000	3.000	sec	19
	반응수정계수 ( 강구조 가새지지구조 )	R =	3.0	1.0		20
	표준설계응답스펙트럼 가속도 Sa(T) = Fv·S / T	Sa(T) =	0.527	0.216	g	21
3. 구조물의 고유진동수의 계산, Fundamental Period Calculation, (T)
	Brace 길이방향 늘어난길이(Expansion length)	△L =	7.36	7.36	cm	22
	Tank 횡방향 변위량	δ =	16.63	16.63	cm	23
	고유주기 계산, T = 2π × SQRT(δ/g)	T =	0.818	0.818	sec	24
	Column Quantity N = 16 Columns Operating Weight Wo = 18864800 kg Elastic Modulus E = 2038902 kg/cm² Brace Length L = 1373.4 cm Brace Section Area Ab = 243.66 cm² Brace Angle θ = 26.269 deg Sin(θ) = 0.4426 Gravitational Acceleration g = 980.665 cm/sec²
4. 탱크의 내진설계 가속도의 계산 ( Design spectrum acceleration )
	0　≤ T ≤ To , [ X ] Sd(T) = Fa·S (1+1.5·T/To) / R	Sd(T) =	N/A	N/A	g	28
	To ≤ T ≤ Ts , [ X ] Sd(T) = 2.5 · Fa · S / R	Sd(T) =	N/A	N/A	g	29
	Ts ≤ T ≤ TL , [ O ] Sd(T) = (Fv · S / T) / R	Sd(T) =	0.176	0.216	g	30
	TL <　T , [ X ] Sd(T) = Fv · S × (TL / T2) / R	Sd(T) =	N/A	N/A	g	31
	감쇠비, KGS GC 203 표 2.5.6.1.1(3)	감쇠비(ξ)=	7	4	%	30
	감쇠보정계수(수평), CD = [6.42/(1.42+ξ)]0.48	CD =	0.878	1.085		31
	지진응답계수, (100%) CS = CD x Sd(T)	CS =	0.155	0.234	g	32
	허용응력설계법의 하중조합 에 따른 지진계수 　　CS_ASD=0.7×CS	CS_ASD =	0.109	0.164	g	33
5. 탱크 밑면 전단력, 전도모멘트 의 계산 Base Shear and Overturning Moment
	Tank Inside Diameter	D =	31.800	31.800	m	34
	Height from ground level to Tank Equator Line	h1 =	18.900	18.900	m	35
	Tank Operating Weight	Wo =	18864.8	18864.8	Ton	36
	Design Base Shear Force (하중조합시) V = CS_ASD × Wo	V =	2037.4	3093.8	Ton	37
	Overturning Moment Mo = h1 × V	Mo =	38506.9	58472.8	Ton-m	38

S-Tank Engineering	TANK STRENGTH CALCULATION SHEET				Page	22 / 41
					PJT NO.	STE-1234567
	Doc. No. : TK-215303 A-H (8 UNITS)				Rev. No.	A

  C. SEISMIC LOAD CALCULATION ( ASCE 7-10 )

Description		Symbol	Value	Units	Remark	No.
Risk Category		RC=	IV		IBC SEC. 1613.3.5	1
Importance Factor		I =	1.5		Where ???	2
Site Class		SC =	D		IBC TABLE 1613.3.3(1)~(2)	3
Seismic Design Category		SDC=	D		IBC TABLE 1613.3.5(1)~(2)	4
Height from base to Tank Top		h =	26.5	m		5
Operating Weight		Wo =	18864.8	ton		6
Spectral response accel. param.(0.2 sec)		SS =	0.55	g	IBC TABLE 1613.3.5(1)~(2)	8
Spectral response accel. param.(1.0 sec)		S1 =	0.22	g	IBC TABLE 1613.3.5(1)~(2)	9
Site Coefficients (Fa)		Fa =	1.36		IBC TABLE 1613.3.5(1)~(2)	10
Site Coefficients (Fv)		Fv =	1.96		IBC TABLE 1613.3.5(1)~(2)	11
Maximum Spectral Response Accelerations for Short and 1-Second Periods:						12
Max. Spectral accel. param(0.2 sec)		SMS =	0.7480	g		13
Max. Spectral accel. param(1.0 sec)		SM1 =	0.4312	g		14
Design Spectral Response Accelerations for Short and 1-Second Periods :						15
Design Spectral accel. param(0.2 sec)		SDS =	0.4987	g		16
Design Spectral accel. param(1.0 sec)		SD1 =	0.2875	g		17
Approx. Fundamental Period :						18
Fundamental Period, T = Ct × h0.8		T =	0.9962	sec	Where ???	20
Seismic Design Coefficients and Factors :						22
Response Modification Coefficients		R =	3.0			23
CS = SDS / (R/I)		CS =	0.2494			24
CS_max = SDS = (2/3)·Fa·SS		CS_max=	0.2181			25
CS_min = Max(0.044×SDS×I, 0.03)		CS_min=	0.0329			26
CS_used = CS_min ≤ CS ≤ CS_max		CS_used=	0.2180			27
CS_ASD = 0.7 × CS		CS_ASD=	0.1530		For LOAD COMBINATION(ASD)	28
[New and Cold Condition] Base Shear and Over Turning Moment : [For DESIGN]						30
Operating Weight		Wo =	18864.8	ton		31
Base Shear, V_ASD = CS_ASD × Wo		V_ASD=	2886.3	ton		32
Overturning Moment, Mo = h1 × V_ASD		Mo =	54551.3	ton-m		33
Height from ground level to Tank Equator Line		h1 =	18.900	m		35

[중요] 아래는 견적시에만 사용하고, 실제 설계시에는 아래 테이블을 지울것.
Description		Symbol	Value	Units	Remark	No.
Seismic Base Shear: [주의: 견적시에는 CS 감소 Factor 0.7을 사용하지않음. V=1.0×CS×Wo 사용함]						36
단지, 견적용임 CS_SD = 1.0 × CS		CS_SD =	0.265		Option (Direct Input Value by Purchase Spec. OR etc. )	37
Operating Weight		Wo =	18864.8	ton	Tank Operating Weight	38
Base Shear, V_SD = CS_ASD × Wo		V_SD =	4999.2	ton	For ASCE 7-10 12.8-1	39
Overturning Moment Mo = h1 × V_SD		Mo =	94484.4	ton-m	Overturning Moment (PVDM 4th Edi. 217 page)	40
Reference :						43
Lateral displacement y = (T / 2π)2 x g		y =	246.5	mm	Where 1g = 9.80665 m/sec²	44

시작시간 = [2024-12-05 09:33:33.0071]
종료시간 = [2024-12-05 09:33:33.0108]

---

HTML END!!!