In this study, two failure modes, yield buckling of the compression ring section and strength failure in the roof-to-shell of the tank, have been proposed for a vertical vaulted tank. The failure criteria of the two failure modes in the roof-to-shell of vault tanks are established via finite element analysis of three tanks of 640 m3, 3200 m3, and 6800 m3 in volume. The finite element models are built with axisymmetric elements and spatial multi-elements. Based on the strength failure criterion, the failure pressure formula in the vaulted tank roof-to-shell is derived. The maximum relative error between the theoretical calculation and numerical simulation is 9.7%. Finally, we verify the strength failure criterion through a tank failure test; the maximum relative error between the test and theoretical calculation is 9.6%. The failure pressure of both failure modes has been compared and analyzed. The failure pressure of the yield buckling in the compression ring section is about 1.65 times that of the strength failure in the roof-to-shell of the tank.

References

References
1.
Yoshida
,
S. C.
,
1993
, “
A Consideration on Frangible Roof Joint Design Due to Recent Oil Tank Explosion
,”
J. High Pressure Inst. Jpn.
,
47
(
6
), pp.
378
385
.
2.
Yoshida
,
S. C.
,
2014
, “
Review of Earthquake Damages of Aboveground Storage Tanks in Japan and Taiwan
,”
ASME
Paper No. PVP2014-28116.
3.
Sun
,
Z. G.
,
1991
, “
Weak Connection Structure of Oil Storage Tank Top to Shell
,”
Oil Gas Storage Transp.
,
10
(
1
), pp.
1
5
.
4.
Taveau
,
J.
,
2011
, “
Explosion of Fixed Roof Atmospheric Storage Tanks, Part 1: Background and Review of Case Histories
,”
Process Saf. Prog.
,
40
(
4
), pp.
381
392
.
5.
Lu
,
Z.
,
Swenson
,
D. V.
, and
Fenton
,
D. L.
,
1996
, “
Frangible Roof Joint Behavior of Cylindrical Oil Storage Tanks Designed to API 650 Rules
,”
ASME J. Pressure Vessel Technol.
,
118
(
3
), pp.
326
331
.
6.
Liu
,
J. B.
, and
Xu
,
Y. B.
,
2011
, “
Weak-Roof Structure Analysis and Evaluation of Vertical Dome Tank Based on GB-50341
,”
Chem. Eng. Mach.
,
38
(
4
), pp.
423
427
.
7.
Zhou
,
Y. H.
, and
Hong
,
Y.
,
2015
, “
Numerical Study of Water Tank Under Blast Loading
,”
Thin-Walled Struct.
,
90
, pp.
42
48
.
8.
Mandal
,
K. K.
, and
Maity
,
D.
,
2015
, “
Nonlinear Finite Element Analysis of Elastic Water Storage Tanks
,”
Eng. Struct.
,
99
, pp.
666
676
.
9.
Thunderhead Engineering Consultants
,
2005
, “
Study to Establish Relations for the Relative Strength of API650 Cone Roof Roof-to-Shell and Shell-to-Bottom Joints
,”
Thunderhead Engineering Consultants Incorporated
,
New York
.
10.
Xu
,
Y. C.
, and
Li
,
H.
,
2002
, “
Analysis of Ultimate Internal Pressure of Steel Chemical Tanks
,”
J. Ning Bo Univ.
,
15
(
3
), pp.
50
54
.
11.
Xu
,
Y. C.
, and
Li
,
H.
,
2002
, “
Analysis of Stress Distribution of a Tank Composed of Cone-Shells
,”
J. Guang Xi Sci.
,
9
(
2
), pp.
104
107
.
12.
Wang
,
J. H.
, and
Koizumi
,
A.
,
2010
, “
Buckling of Cylindrical Shells With Longitudinal Joints Under External Pressure
,”
Thin-Walled Struct.
,
48
(
12
), pp.
897
904
.
13.
Sathyanarayanan
,
S.
, and
Adluri
,
S. M. R.
,
2015
, “
Fatigue Stress Evaluation at Shell-to-Bottom Joint With Double Plastic Hinge in Elevated Temperature Steel Tanks on Concrete Ring Walls
,”
ASME J. Pressure Vessel Technol.
,
137
(
4
), p.
041408
.
14.
Choong
,
K. K.
, and
Ramm
,
E.
,
1998
, “
Simulation of Buckling Process of Shells by Using the Finite Element Method
,”
Thin-Walled Struct.
,
31
(
1–3
), pp.
39
72
.
15.
Kisioglu
,
Y.
,
2011
, “
Burst Pressure Determination of Vehicle Toroidal Oval Cross-Section LPG Fuel Tanks
,”
ASME J. Pressure Vessel Technol.
,
133
(
3
), p.
031202
.
16.
Fukuchi
,
N.
,
Okada
,
K.
, and
Sugita
,
N.
,
2006
, “
An Elastic-Plastic Analysis of Large Deflection of Thin Shell Structure Using a Delta-Sequence Function
,”
Thin-Walled Struct.
,
44
(
1
), pp.
91
101
.
17.
Karcher
,
G. G.
,
Ward
,
P. E. M.
, and
Spoelstra
,
G. P.
,
2013
, “
Buckling of Cylindrical, Thin Wall, Trailer Truck Tanks and ASME Section XII
,”
ASME J. Pressure Vessel Technol.
,
135
(
4
), p.
041001
.
18.
Burgos
,
C. A.
,
Batista-Abreu
,
J. C.
,
Calabro
,
H. D.
,
Jaca
,
R. C.
, and
Godoy
,
L. A.
,
2015
, “
Buckling Estimates for Oil Storage Tanks: Effect of Simplified Modeling of the Roof and Wind Girder
,”
Thin-Walled Struct.
,
91
, pp.
29
37
.
19.
Kobayashi
,
T.
,
Mihara
,
Y.
, and
Fujii
,
F.
,
2012
, “
Path-Tracing Analysis for Post-Buckling Process of Elastic Cylindrical Shells Under Axial Compression
,”
Thin-Walled Struct.
,
61
, pp.
180
187
.
20.
Sinopec Group
,
2003
, “Steel Pressure Vessel-Analysis Design,” China Petroleum & Chemical Corporation, Beijing, China, Standard No. JB4732-2003.
21.
Ayari
,
H.
,
Truong
,
D.
,
Sehn
,
J.
, and
Truong
,
K. T.
,
2014
, “
A Nonlinear Finite Element Study on Settlement and Releveling Procedure of a Large Deformed Steel Tank
,”
ASME J. Pressure Vessel Technol.
,
136
(
3
), p.
034502
.
22.
API
,
2003
, “
Welded Steel Tanks for Oil Storage
,” American Petroleum Institute, Washington, DC, Standard No. API-650-2003.
23.
Søren
,
R. K.
,
Jesper
,
W.
, and
Stærdahl
,
L. A.
,
2007
,
Plate and Shell Theory
,
Aalborg University
,
Aalborg, Denmark
, Chap. 2.
24.
Zamani
,
J.
,
Soltani
,
B.
, and
Aghei
,
M.
,
2014
, “
Analytical Investigation of Elastic Thin-Walled Cylinder and Truncated Cone Shell Intersection Under Internal Pressure
,”
ASME J. Pressure Vessel Technol.
,
136
(
5
), p.
051201
.
25.
Zheng
,
J. Y.
,
2010
,
Process Equipment Design
,
Chemical Industry Press
,
Beijing, China
, Chap. 2.
26.
Azzuni
,
E.
, and
Guzey
,
S.
,
2015
, “
Comparison of the Shell Design Methods for Cylindrical Liquid Storage Tanks
,”
Eng. Struct.
,
101
, pp.
621
630
.
27.
Xu
,
X. S.
,
Sun
,
J. B.
, and
Lim
,
C. W.
,
2013
, “
An Analytical Symplecticity Method for Axial Compression Plastic Buckling of Cylindrical Shells
,”
ASME J. Pressure Vessel Technol.
,
135
(
5
), p.
051204
.
28.
Liu
,
J. B.
, and
Ding
,
Y. Q.
,
2012
, “
A Study on Failure Mechanism Around the Top Wall Junction of Dome Tank and Experiment Verification
,”
Pressure Vessel Technol.
,
29
(
7
), pp.
1
8
.
29.
Wu
,
X. M.
, and
Meng
,
X. C.
,
1992
, “
Research and Analysis of Dynamic Yield Stress Experiments of Materials
,”
J. Tai Yuan Inst. Mach.
,
13
(
1
), pp.
1
5
.
30.
Hou
,
R. L.
, and
Peng
,
J. X.
,
2010
, “
Dynamic Yield Strength Measurement for 2A12 Aluminum Alloy at High Pressure
,”
J. Wu Han Univ. Technol.
,
32
(
13
), pp.
38
40
.
You do not currently have access to this content.