The results of wind tunnel tests indicate that there is an internal inward pressure induced by wind excitation when open-top tanks are examined, but not when close-top tanks are examined. This internal pressure is considered in many design documents outside of the U.S., however, ASCE-7 and API 650 do not explicitly address this factor. This study examined the effect of this internal pressure by conducting finite element analyses. Open-top tanks with height to diameter ratios of 0.11, 0.2, 0.5, 1.0, 2.0, and 4.0 were modeled using a finite element program. A linear bifurcation analysis and a post-buckling analysis were then conducted to verify the tank's stability when subjected to wind loading in accordance with the wind profiles specified in the selected design documents. To ensure the quality of the analyses, a study on mesh convergence and the load increment of Riks analysis was conducted. It was determined that the presence of the additional internal pressure term has a drastic impact on the buckling capacity of all the tanks examined. As a consequence, it can be concluded that the additional internal pressure generated by the wind on an open-top tank should not be neglected.

References

References
1.
Godoy
,
L. A.
,
2016
, “
Buckling of Vertical Oil Storage Steel Tanks: Review of Static Buckling Studies
,”
Thin-Walled Struct.
,
103
, pp.
1
21
.
2.
Zingoni
,
A.
,
2015
, “
Liquid-Containment Shells of Revolution: A Review of Recent Studies on Strength, Stability and Dynamics
,”
Thin-Walled Struct.
,
87
, pp.
102
114
.
3.
Zick
,
L.
, and
McGrath
,
R.
,
1968
, “
Design of Large Diameter Cylindrical Shells
,”
API Division of Refining
, American Petroleum Institute, New York, Vol.
48
, pp.
1114
1140
.
4.
API
,
2013
, “
Welded Tanks for Oil Storage
,” American Petroleum Institute, Washington, DC, API Standard No. 650.
5.
Azzuni
,
E.
, and
Guzey
,
S.
,
2015
, “
Comparison of the Shell Design Methods for Cylindrical Liquid Storage Tanks
,”
Eng. Struct.
,
101
, pp.
621
630
.
6.
Azzuni
,
E.
, and
Guzey
,
S.
,
2018
, “
Failure Modes of API 12F Tanks With a Rectangular Cleanout and Stepped Shell Design
,”
ASME J. Pressure Vessel Technol.
,
140
(
6
), p.
061203
.
7.
Rondon
,
A.
, and
Guzey
,
S.
,
2017
, “
Determination of Failure Pressure Modes of the API Specification 12F Shop-Welded, Flat-Bottom Tanks
,”
ASME J. Pressure Vessel Technol.
,
139
(
4
), p.
041409
.
8.
Sosa
,
E. M.
, and
Godoy
,
L. A.
,
2005
, “
Nonlinear Dynamics of Above-Ground Thin-Walled Tanks Under Fluctuating Pressures
,”
J. Sound Vib.
,
283
(
1–2
), pp.
201
215
.
9.
von Mises
,
R.
,
1931
,
The Critical External Pressure of Cylindrical Tubes
,
U.S. Experimental Model Basin, Navy Yard
,
Washington, DC
.
10.
Chen
,
L.
,
Rotter
,
J. M.
, and
Doerich
,
C.
,
2011
, “
Buckling of Cylindrical Shells With Stepwise Variable Wall Thickness Under Uniform External Pressure
,”
Eng. Struct.
,
33
(
12
), pp.
3570
3578
.
11.
Chen
,
L.
,
Rotter
,
J. M.
, and
Doerich-Stavridis
,
C.
,
2012
, “
Practical Calculations for Uniform External Pressure Buckling in Cylindrical Shells With Stepped Walls
,”
Thin-Walled Struct.
,
61
, pp.
162
168
.
12.
Aghajari
,
S.
,
Abedi
,
K.
, and
Showkati
,
H.
,
2006
, “
Buckling and Post-Buckling Behavior of Thin-Walled Cylindrical Steel Shells With Varying Thickness Subjected to Uniform External Pressure
,”
Thin-Walled Struct.
,
44
(
8
), pp.
904
909
.
13.
Rastgar
,
M.
, and
Showkati
,
H.
,
2017
, “
Buckling of Cylindrical Steel Tanks With Oblique Body Imperfection Under Uniform External Pressure
,”
ASME J. Pressure Vessel Technol.
,
139
(
6
), p.
061203
.
14.
Ding
,
Y.
,
Liu
,
J.
,
Chen
,
Z.
,
Qiu
,
F.
, and
Lu
,
Q.
,
2017
, “
Calculating Failure Pressure Under Different Failure Modes in the Roof-to-Shell of a Vaulted Tank
,”
ASME J. Pressure Vessel Technol.
,
139
(
4
), p.
041201
.
15.
Shokrzadeh
,
A. R.
, and
Sohrabi
,
M. R.
,
2016
, “
Buckling of Ground Based Steel Tanks Subjected to Wind and Vacuum Pressures Considering Uniform Internal and External Corrosion
,”
Thin-Walled Struct.
,
108
, pp.
333
350
.
16.
Spritzer
,
J.
, and
Guzey
,
S.
,
2017
, “
Nonlinear Numerical Evaluation of Large Open-Top Aboveground Steel Welded Liquid Storage Tanks Excited by Seismic Loads
,”
Thin-Walled Struct.
,
119
, pp.
662
676
.
17.
Haroun
,
M.
, and
Housner
,
G.
,
1981
, “
Earthquake Response of Deformable Liquid Storage Tanks
,”
ASME J. Appl. Mech.
,
48
(
2
), pp.
411
418
.
18.
Haroun
,
M. A.
, and
Housner
,
G. W.
,
1981
, “
Seismic Design of Liquid Storage Tanks
,”
J. Tech. Counc. ASCE
,
107
(
1
), pp.
191
207
.https://cedb.asce.org/CEDBsearch/record.jsp?dockey=0010181
19.
Malhotra
,
P. K.
,
1997
, “
Seismic Response of Soil-Supported Unanchored Liquid-Storage Tanks
,”
J. Struct. Eng.
,
123
(
4
), pp.
440
450
.
20.
Jacobsen
,
L. S.
,
1949
, “
Impulsive Hydrodynamics of Fluid Inside a Cylindrical Tank and of Fluid Surrounding a Cylindrical Pier
,”
Bull. Seismol. Soc. Am.
,
39
(
3
), pp.
189
204
.https://pubs.geoscienceworld.org/ssa/bssa/article/39/3/189/101194/impulsive-hydrodynamics-of-fluid-inside-a
21.
Kalogerakou
,
M. E.
,
Maniatakis
,
C. A.
,
Spyrakos
,
C. C.
, and
Psarropoulos
,
P. N.
,
2017
, “
Seismic Response of Liquid-Containing Tanks With Emphasis on the Hydrodynamic Response and Near-Fault Phenomena
,”
Eng. Struct.
,
153
, pp.
383
403
.
22.
Mandal
,
K. K.
, and
Maity
,
D.
,
2015
, “
Nonlinear Finite Element Analysis of Elastic Water Storage Tanks
,”
Eng. Struct.
,
99
, pp.
666
676
.
23.
Vathi
,
M.
,
Karamanos
,
S. A.
,
Kapogiannis
,
I. A.
, and
Spiliopoulos
,
K. V.
,
2017
, “
Performance Criteria for Liquid Storage Tanks and Piping Systems Subjected to Seismic Loading
,”
ASME J. Pressure Vessel Technol.
,
139
(
5
), p.
051801
.
24.
Bakalis
,
K.
,
Fragiadakis
,
M.
, and
Vamvatsikos
,
D.
,
2017
, “
Surrogate Modeling for the Seismic Performance Assessment of Liquid Storage Tanks
,”
J. Struct. Eng.
,
143
(
4
), p.
04016199
.
25.
Saha
,
S. K.
,
Sepahvand
,
K.
,
Matsagar
,
V. A.
,
Jain
,
A. K.
, and
Marburg
,
S.
,
2016
, “
Fragility Analysis of Base-Isolated Liquid Storage Tanks Under Random Sinusoidal Base Excitation Using Generalized Polynomial Chaos Expansion-Based Simulation
,”
J. Struct. Eng.
,
142
(
10
), p.
04016059
.
26.
Kanyilmaz
,
A.
, and
Castiglioni
,
C. A.
,
2017
, “
Reducing the Seismic Vulnerability of Existing Elevated Silos by Means of Base Isolation Devices
,”
Eng. Struct.
,
143
, pp.
477
497
.
27.
Sobhan
,
M.
,
Rofooei
,
F.
, and
Attari
,
N. K.
,
2017
, “
Buckling Behavior of the Anchored Steel Tanks Under Horizontal and Vertical Ground Motions Using Static Pushover and Incremental Dynamic Analyses
,”
Thin-Walled Struct.
,
112
, pp.
173
183
.
28.
Gong
,
J.-G.
,
Zhou
,
Z.-Q.
, and
Xuan
,
F.-Z.
,
2017
, “
Buckling Strength of Cylindrical Steel Tanks Under Measured Differential Settlement: Harmonic Components Needed for Consideration and Its Effect
,”
Thin-Walled Struct.
,
119
, pp.
345
355
.
29.
Pantousa
,
D.
,
2018
, “
Numerical Study on Thermal Buckling of Empty Thin-Walled Steel Tanks Under Multiple Pool-Fire Scenarios
,”
Thin-Walled Struct.
,
131
, pp.
577
594
.
30.
Sabransky
,
I.
, and
Melbourne
,
W.
,
1987
, “
Design Pressure Distribution on Circular Silos With Conical Roofs
,”
J. Wind Eng. Ind. Aerodyn.
,
26
(
1
), pp.
65
84
.
31.
Macdonald
,
P.
,
Kwok
,
K.
, and
Holmes
,
J.
,
1988
, “
Wind Loads on Circular Storage Bins, Silos and Tanks: I. Point Pressure Measurements on Isolated Structures
,”
J. Wind Eng. Ind. Aerodyn.
,
31
(
2–3
), pp.
165
187
.
32.
Hua
,
X.
, and
Letchford
,
C.
,
2014
, “
A Comparison of Wind Loads on Circular Bins, Silos and Tanks
,” Structures Congress, American Society Of Civil Engineers, Boston, MA, Apr. 3–5, pp.
1616
1629
.
33.
Joint Standards Australia/Standard New Zealand Standard
,
2011
, “
Structural Design Actions—Part 2: Wind Actions
,” NSW, Sydney, Australia, Standard No.
AS/NZS 1170.2:2011
.https://archive.org/details/as-nzs.1170.2.2011
34.
American Society of Civil Engineers
,
2016
, “
Minimum Design Loads for Building and Other Structures
,” Reston, VA, Standard No. ASCE-7-16.
35.
Portela
,
G.
, and
Godoy
,
L. A.
,
2005
, “
Wind Pressures and Buckling of Cylindrical Steel Tanks With a Conical Roof
,”
J. Constr. Steel Res.
,
61
(
6
), pp.
786
807
.
36.
Portela
,
G.
, and
Godoy
,
L. A.
,
2005
, “
Wind Pressures and Buckling of Cylindrical Steel Tanks With a Dome Roof
,”
J. Constr. Steel Res.
,
61
(
6
), pp.
808
824
.
37.
Yasunaga
,
J.
, and
Uematsu
,
Y.
,
2018
, “
Dynamic Buckling of Cylindrical Storage Tanks Under Fluctuating Wind Forces
,”
J. Wind Eng.
,
43
(
2
), pp.
38
47
(in Japanese).
38.
Iamandi
,
C.
,
Georgescu
,
A.
, and
Erbasu
,
C.
,
2003
, “
Experimental Modelling of Four Steel Tanks Battery
,”
11th International Conference on Wind Engineering
, Wind Science and Engineering Research Center at Texas Tech University, Lubbock, TX, pp.
1243
1250
.
39.
AWWA,
1935
,
Standard Specifications for Elevated Steel Water Tanks, Standpipes and Reservoirs
,
American Water Work Association
,
Denver, CO
, pp.
1606
1625
.
40.
Azzuni
,
E.
, and
Guzey
,
S.
,
2017
, “
Stability of Open Top Cylindrical Steel Storage Tanks: Design of Top Wind Girder
,”
ASME J. Pressure Vessel Technol.
,
139
(
3
), p.
031207
.
41.
Sun
,
T.
,
Azzuni
,
E.
, and
Guzey
,
S.
,
2017
, “
Stability of Open-Topped Storage Tanks With Top Stiffener and One Intermediate Stiffener Subject to Wind Loading
,”
ASME J. Pressure Vessel Technol.
,
140
(
1
), p.
011204
.
42.
Azzuni
,
E.
, and
Guzey
,
S.
,
2018
, “
A Perturbation Approach on Buckling and Postbuckling of Circular Rings Under Nonuniform Loads
,”
Int. J. Mech. Sci.
,
137
, pp.
86
95
.
43.
McGrath
,
R. V.
,
1963
, “
Stability of API Standard 650 Tank Shells
,”
28th Midyear Meeting of the American Petroleum Institute's Division of Refining
, Brooklyn, NY, May 16.
44.
Bu
,
F.
, and
Qian
,
C.
,
2015
, “
A Rational Design Approach of Intermediate Wind Girders on Large Storage Tanks
,”
Thin-Walled Struct.
,
92
, pp.
76
81
.
45.
Bu
,
F.
, and
Qian
,
C.
,
2016
, “
On the Rational Design of the Top Wind Girder of Large Storage Tanks
,”
Thin-Walled Struct.
,
99
, pp.
91
96
.
46.
Adams
,
J. H.
,
1975
, “
A Study of Wind Girder Requirements for Large API 650 Floating Roof Tanks
,”
Refining 40th Midyear Meeting
, Chicago, IL, May 15, pp.
16
75
.
47.
Uematsu
,
Y.
,
Yamaguchi
,
T.
, and
Yasunaga
,
J.
,
2018
, “
Effects of Wind Girders on the Buckling of Open-Topped Storage Tanks Under Quasi-Static Wind Loading
,”
Thin-Walled Struct.
,
124
, pp.
1
12
.
48.
Yasunaga
,
J.
, and
Uematsu
,
Y.
,
2013
, “
Buckling and Dynamic Behavior of Open-Topped Oil-Storage Tanks Under Wind Loading
,”
J. Wind Eng.
,
38
(
2
), pp.
179
180
(in Japanese).
49.
Flores
,
F. G.
, and
Godoy
,
L. A.
,
1999
, “
Forced Vibrations of Silos Leading to Buckling
,”
J. Sound Vib.
,
224
(
3
), pp.
431
454
.
50.
Greiner
,
R.
, and
Derler
,
P.
,
1995
, “
Effect of Imperfections on Wind-Loaded Cylindrical Shells
,”
Thin-Walled Struct.
,
23
(
1–4
), pp.
271
281
.
51.
Godoy
,
L. A.
, and
Flores
,
F. G.
,
2002
, “
Imperfection Sensitivity to Elastic Buckling of Wind Loaded Open Cylindrical Tanks
,”
Struct. Eng. Mech.
,
13
(
5
), pp.
533
542
.
52.
Zhao
,
Y.
, and
Lin
,
Y.
,
2014
, “
Buckling of Cylindrical Open-Topped Steel Tanks Under Wind Load
,”
Thin-Walled Struct.
,
79
, pp.
83
94
.
53.
Cao
,
Q. S.
,
Zhao
,
Y.
, and
Zhang
,
R.
,
2018
, “
Wind Induced Buckling of Large Circular Steel Silos With Various Slenderness
,”
Thin-Walled Struct.
,
130
, pp.
101
113
.
54.
Shokrzadeh
,
A. R.
, and
Sohrabi
,
M. R.
,
2016
, “
Strengthening Effects of Spiral Stairway on the Buckling Behavior of Metal Tanks Under Wind and Vacuum Pressures
,”
Thin-Walled Struct.
,
106
, pp.
437
447
.
55.
European Committee for Standardization,
2007
, “
Eurocode 3: Design of Steel Structures, Part 4.1: Silos
,” Brussels, Belgium, Standard No. EN 1993-4-1.
56.
Uematsu
,
Y.
,
Koo
,
C.
, and
Yasunaga
,
J.
,
2014
, “
Design Wind Force Coefficients for Open-Topped Oil Storage Tanks Focusing on the Wind-Induced Buckling
,”
J. Wind Eng. Ind. Aerodyn.
,
130
, pp.
16
29
.
57.
ABAQUS,
2018
,
ABAQUS Analysis User's Manual Version 2018
,
Dassault Systèmes SIMULIA
,
Providence, RI
.
58.
ASME Boiler and Pressure Vessel Code
,
2015
,
Section II: Materials
,
American Society of Mechanical Engineers
,
New York, NY
.
59.
ASME Boiler and Pressure Vessel Code
,
2015
,
Section VIII: Alternative Rules for Construction of Pressure Vessels, Division 2
,
American Society of Mechanical Engineers
,
New York, NY
.
60.
Maraveas
,
C.
,
Balokas
,
G. A.
, and
Tsavdaridis
,
K. D.
,
2015
, “
Numerical Evaluation on Shell Buckling of Empty Thin-Walled Steel Tanks Under Wind Load According to Current American and European Design Codes
,”
Thin-Walled Struct.
,
95
, pp.
152
160
.
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