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Analysis of Earth Pressure for Retaining Wall and Ultimate Bearing Capacity for Shallow Foundation by Variational Method

Published online by Cambridge University Press:  05 May 2011

Lai-Yun Wu  and
Yi-Feng Tsai
Lai-Yun Wu*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Yi-Feng Tsai*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Associate Professor
*Graduate Student
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Abstract

Applying the principle of virtual work, the slice element method, and the variational method proposed in this paper, one can derive the governing equation and transversality conditions for the rupture surface of a sliding mass of retaining wall and shallow foundation under several external conditions. The governing equation, transversality, and boundary conditions can be solved by the finite difference method (FDM) proposed in this paper, so that the rupture surface and its associated earth pressure acting on the retaining wall or the ultimate bearing capacity acting on the foundation can be determined effectively. By comparison of our results with those of some well known earth pressure and bearing capacity estimating methods, it can be concluded that determining the earth pressure on a retaining wall or the ultimate bearing capacity of a shallow foundation by using the variational method and FDM proposed in this paper, a logical and reasonable result can be obtained without the necessity of guessing the rupture surface.

Keywords

Earth pressureUltimate bearing capacityPrinciple of virtual workVariational methodRupture surfaceFinite difference method.
Type
Articles
Information
Journal of Mechanics , Volume 20 , Issue 1 , March 2004 , pp. 43 - 56
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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