Pseudostatic seismic stability of slopes: Design Charts
Publication: Journal of Geotechnical Engineering
Volume 120, Issue 9
Abstract
A variational limiting equilibrium approach that is an extension of Baker and Garber's analysis is presented. In this extension a pseudostatic seismic force is included to assess the stability of simple slopes. The normal stress distribution over the potential slip surface is determined mathematically so as to render the minimum factor of safety while satisfying explicitly all limiting equilibrium equations. The equation describing this distribution contains terms related to seismicity and it makes the problem statically determinate without a priori statical assumptions. A closed‐form solution is then obtained for a log spiral failure mechanism. Consequently, a parametric study of the effects of pseudostatic seismic force is conducted with ease. Furthermore, design charts for assessing the seismic stability of simple slopes are presented. For nonseismic cases these charts coincide with Taylor's chart. For the seismic cases, identical results could also be obtained by using a conventional log spiral analysis (though with much greater effort). The design charts, therefore, should be acceptable by a large group of readers.
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References
1.
Baker, R. (1981). “Tensile strength, tension cracks and stability of slopes.” Soils Found., Japan, 21(2), 1–17.
2.
Baker, R., and Garber, M. (1978). “Theoretical analysis of the stability of slopes.” Geotechnique, London, England, 28(4), 395–411.
3.
Baker, R., Luceno, A., and Castillo, E. (1983). “On the relation between the variational limit equilibrium procedure and the upper bound of plasticity.” Faculty Publication No. 299, Faculty of Civ. Engrg., Technion—Israel Inst. of Tech., Haifa, Israel.
4.
De Jong De Josselin, G. (1980). “Application of the calculus of variations to the vertical cut‐off in cohesive frictionless soil.” Geotechnique, London, England, 30(1), 1–16.
5.
De Jong De Josselin, G. (1981). “A variational fallacy.” Geotechnique, London, England, 31(2), 289–290.
6.
Huang, Yang H. (1993). Stability analysis of earth slopes. Van Nostrand Reinhold Company, Inc., New York, N.Y.
7.
Leshchinsky, D. (1990). “Slope stability analysis: Generalized approach.” J. Geotech. Engrg., ASCE, 116(5), 851–867.
8.
Leshchinsky, D., Baker, R., and Silver, M. L. (1985). “Three dimensional analysis of slope stability.” Int. J. Numer. Anal. Methods Geomech., 9(2), 199–223.
9.
Leshchinsky, D., and Huang, C. C. (1992). “Generalized slope stability analysis: Interpretation, modification, and comparison.” J. Geotech. Engrg., ASCE, 118(10), 1559–1576.
10.
Taylor, D. W. (1937). “Stability of earth slopes.” J. Boston Society of Civ. Engrs., 24(3), 197–246.
Information & Authors
Information
Published In
Journal of Geotechnical Engineering
Volume 120 • Issue 9 • September 1994
Pages: 1514 - 1532
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Aug 26, 1994
Published online: Sep 1, 1994
Published in print: Sep 1994
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