Generation and Use of Simplified Uplift Shape Functions in Unanchored Cylindrical Tanks

Author:

Lau D. T.1,Zeng X.1

Affiliation:

1. Department of Civil and Environmental Engineering, Carleton University, Ottawa, Ontario, Canada K1S 5B6

Abstract

This paper presents a simplified mathematical model for modeling the flexible bottom plate in an unanchored cylindrical liquid storage tank partially uplifted under the static tilt condition. In this model, the cylindrical tank is divided into substructures according to the deformation-resistant mechanisms involved. The modeling of each substructure is based on the Ritz formulation. Numerical results are presented and compared with reported experimental measurements. The results show that the simplified mathematical model is efficient. Practical and accurate results can be obtained using the model leading to a better understanding of the uplift mechanism. The relationship of the uplift behavior with the static tilt angle is also presented and discussed.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Safety, Risk, Reliability and Quality

Reference38 articles.

1. American Petroleum Institute, 1979, “Welded Steel Tanks for Oil Storage,” API Standard 650, 6th Edition, Revision 3, Washington, DC.

2. American Water Works Association, 1984, “AWWA Standard for Welded Steel Tanks for Water Storage,” AWWA D100-84, Denver, CO.

3. Auli W. , FischerF. D., and RammerstorferF. G., 1985, “Uplifting of Earthquake Loaded Liquid-Filled Tanks,” Proceedings, Pressure Vessels and Piping Conference, New Orleans, LA, ASME PVP-Vol. 98-7, pp. 71–85.

4. Barton D. C. , and ParkerJ. V., 1987, “Finite Element Analysis of the Seismic Response of Anchored and Unanchored Liquid Storage Tanks,” Earthquake Engineering and Structural Dynamics, Vol. 15, pp. 299–322.

5. Clough, R. W., and Niwa, A., 1979, “Static Tilt Tests of a Tall Cylindrical Liquid Storage Tank,” Report No. UCB/EERC-79/06, Earthquake Engineering Research Center, University of California, Berkeley, CA.

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