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Deformation of the bottom part of an unanchored liquid storage tank during the lateral component of earthquake motion

Further development of “elephant foot” buckling is displayed in the next slide.

There can also be buckling of the top portion of the tank caused by sloshing of the liquid in the tank during an earthquake, as shown two slides hence.

This and the next 2 slides are from:

Patricia Pappa (1), Daniel Vasilikis (1), Polynikis Vazouras (2) and Spyros A. Karamanos (1)
(1) Dept. of Mechanical Engineering, University of Thessaly, Volos, Greece
(2) Dept. of Civil Engineering, University of Thessaly, Volos, Greece
“On the seismic behavior and design of liquid storage tanks”, COMPDYN2011, III ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis, M. Fragiadakis and V. Plevris (Editors), Corfu, Greece, 25-28 May, 2011

ABSTRACT: The paper examines some special issues on the structural behaviour of upright cylindrical liquid storage tanks, which are widely used in industrial facilities and for water storage. Two main design standards are considered: EN 1998-4, a relatively new standard, and Appendix E of API 650, which has been through substantial amendments and revisions in its new version (11th edition, 2007). There are significant differences between the two specifications, which are due to the fact that there exist several controversial issues on this subject, open to further research. These issues are (a) the number of modes necessary to estimate accurately the convective seismic force due to the hydrodynamic behaviour of the liquid containment; (b) the appropriate combination of the impulsive and the convective component of seismic force; (c) the uplifting behaviour of unanchored tanks, with emphasis on the base plate behaviour and the increase of meridional compression; (d) the choice of an appropriate reduction (behaviour) factor for calculating both the impulsive and the convective force; (e) the calculation of hydrodynamic hoop stresses due to liquid hydrodynamic motion; (f) the design of tanks against buckling at the top due to liquid sloshing; (g) the importance of nonlinear wave sloshing effects. The present paper is aimed at addressing the above issues based mainly on numerical simulations. To simulate the tank shell and its structural behaviour, general-purpose finite element software ABAQUS is employed, whereas to examine hydrodynamic effects, an in-house numerical technique is developed. Existing data from previous investigations are also considered. The results are aimed at better understanding of liquid storage tank seismic behaviour, bridging the gap between the two major design standards (EN 1998-4 and API 650- Appendix E), towards safer seismic design of industrial facilities.

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