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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*
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.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

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References

1.Das, B. M., Principles of Foundation Engineering, PWS-KENT Publishing Company, Boston (1990).Google Scholar
2.Mononobe, N., “Earthquake-Proof Construction of Masonry Dams,” Proceedings, World Engineering Conference, Vol.9, pp. 274–280 (1929).Google Scholar
3.Okabe, S., “General Theory of Earth Pressure,” Journal of the Japanese Society of Civil Engineers, Vol.12, No. 1 (1926).Google Scholar
4.Myslivec, A. and Kysela, Z., The Bearing Capacity of Building Foundations, Elsevier Scientific Publishing Company, New York (1978).Google Scholar
5.Terzaghi, K., Theoretical Soil Mechanics, John Wiley and Sons, Inc., U.S.A. (1943).Google Scholar
6.Meyherhof, G. G., “Ultimate Bearing Capacity of Foundation,” Geotechnique, Vol.2, No. 4, pp. 301332(1951).CrossRefGoogle Scholar
7.Shields, D. H. and Tolunay, A. Z., “Passive Pressure by Methods of Slices,” Journal of the Soil Mechanics and Foundations Division, ASCE, Vol.99, No. SM12, pp. 10431053 (1973).CrossRefGoogle Scholar
8.Ly, B. L., “Determination of Active Pressure by a Variational Method,” Third International Conference on Numerical Methods in Geomechanics, pp. 11751178 (1979).Google Scholar
9.Garber, M. and Baker, R., “Bearing Capacity by Variational Method,” Journal of the Geotechnical Engineering Division, ASCE, Vol.103, No. GT11, pp. 12091225 (1977).CrossRefGoogle Scholar
10.Castillo, E. and Luceño, A., “A Critical Analysis of Some Variational Methods in Slope Stability Analysis,” International Journal for Numerical and Analytical Methods in Geomechanics, Vol.6, pp. 195209 (1982).CrossRefGoogle Scholar
11.Bell, A. L., “The Lateral Pressure and Resistance of Clay and the Supporting Power of Clay Foundation,” Proceedings, Institution of Civil Engineers, London, Vol.199, No. 1, pp. 233–272 (1915).Google Scholar
12.Morgenstern, N. R. and Price, V. E., “The Analysis of Stability of General Slip Surfaces,” Geotechnique, Vol.15, No. 1, pp. 7993 (1965).CrossRefGoogle Scholar
13.Elsgolc, L. E., Calculus of Variations, Addison-Wesley Publishing Company Inc. pp. 6469 (1962).Google Scholar
14.Vesic, A. S., “Analysis of Ultimate Loads of Shallow Foundations,” Journal of Soil Mechanics and Foundations Division, ASCE, Vol.99, No. SM1, pp. 4573 (1973).CrossRefGoogle Scholar