TECHNICAL PAPERS
Jun 1, 1997

Stability of Imperfect Steel Conical Tanks under Hydrostatic Loading

Publication: Journal of Structural Engineering
Volume 123, Issue 6

Abstract

The work presented in this paper was motivated by the collapse of an elevated conical shaped water tower structure in Fredericton, Canada, in December of 1990. It is analytically based and involves nonlinear stability analysis of liquid-filled conical steel vessels possessing geometric imperfections and residual stresses. A finite-element formulation based on a newly developed consistent shell element that includes both geometric and material nonlinearities is used. Elastic stability analyses of conical shells with different geometric imperfection patterns are undertaken, and the results indicate that the presence of axisymmetric imperfections leads to the lowest limit load for the structure. The sensitivity of the hydrostatically loaded conical vessels to geometric imperfections and residual stresses is investigated by considering inelastic analyses of three cases: (1) perfect vessels; (2) same as case 1, but with axisymmetric geometric imperfections of the order of the thickness of the shell; and (3) same as case 2, but with the addition of residual stresses due to welding. Results of these analyses indicate that liquid-filled conical shells are quite sensitive to geometric imperfections and that yielding precedes elastic buckling for tanks having practical dimensions.

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References

1.
American Water Works Association. (1984). “AWWA standards for welded street tanks for water storage.”Ansi/AWWA-D100-84, Denver, Colo.
2.
Bornscheuer, F. W., and Hafner, L. (1983). “The influence of an imperfect circumferential weld on the buckling strength of axially loaded circular cylindrical shells.”Preliminary Rep. 3rd Int. Colloquium on Stability of Metal Struct., Structural Stability Research Council, Bethlehem, Pa., 407–414.
3.
Bornscheuer, F. W., Ramm, E., and Stegmuller, H. (1983). “Stability and ultimate load analysis of liquid-filled conical shells.”Preliminary Rep., 3rd Int. Colloquium on Stability of Metal Struct., Structural Stability Research Council, Bethlehem, Pa., 391–398.
4.
Bushnell, D. (1985). Computerized buckling analysis of shells. Martinus Nijhoff Publishers, Dordrecht, The Netherlands.
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Dawe, J. L., Seah, C. K., and Abdel-Zaher, A. K. (1993). “Collapse of a water tower.”Proc., of the CSCE Conf., Canadian Society of Civil Engineering, Montreal, Canada, 315–323.
6.
El Damatty, A. A. (1995). “Non-linear extension of consistent shell element and analyses of liquid-filled conical tanks,” PhD thesis, McMaster Univ., Hamilton, Canada.
7.
El Damatty, A. A., Mirza, F. A., and Korol, R. M.(1997). “Large displacement extension of consistent shell element for static and dynamic analysis.”Comp. & Struct., 62(6), 943–960.
8.
European Convention for Constructional Steel Work. (1988). Buckling of steel shells, 4th Ed., Brussels, Belgium.
9.
Korol, R. M. (1991). “An assessment of Fredericton's regent steel tower reservoir failure.”Tech. Rep., McMaster Univ., Hamilton, Canada.
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Vandepitte, D. (1992). “Report about the failure of a water tower, Fredericton, New Brunswick.”Tech. Rep., Ghent Univ., Ghent, Belgium.
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Vandepitte, D., Rathe, J., Verhegghe, B., Paridaens, R., and Verschaeve, C. (1982). “Experimental investigation of hydrostatically loaded conical shells and practical evaluation of the buckling load.”Buckling of shells, E. Ramm, ed., Springer-Verlag KG, Berlin, Germany, 375–399.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 123Issue 6June 1997
Pages: 703 - 712

History

Published online: Jun 1, 1997
Published in print: Jun 1997

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Authors

Affiliations

A. A. El Damatty
Asst. Prof., Dept. of Civ. Engrg., The Univ. of Western Ontario, London, Ontario, Canada N6A 5B9.
R. M. Korol
Prof. of Civ. Engrg., McMaster Univ., Hamilton, Ontario, Canada L8S 4L7.
F. A. Mirza
Deceased July 11, 1995; formerly, Prof. of Civ. Engrg., McMaster Univ., Hamilton, Ontario, Canada L8S 4L7.

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