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Mathematical Problems in Engineering
Volume 2014, Article ID 712145, 6 pages
http://dx.doi.org/10.1155/2014/712145
Research Article

Slope Stability Analysis Using Slice-Wise Factor of Safety

1Department of Civil Engineering, Zhejiang University, Hangzhou 310058, China
2Earthquake Administration of Zhejiang Province, Hangzhou 310013, China

Received 25 October 2013; Accepted 13 June 2014; Published 26 June 2014

Academic Editor: Thomas Hanne

Copyright © 2014 Yu Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The concept of slice-wise factor of safety is introduced to investigate the state of both the whole slope and each slice. The assumption that the interslice force ratio is the same between any two slices is made and the eccentric moment of slice weight is also taken into account. Then four variables equations are formulated based on the equilibrium of forces and moment and the assumption of interslice forces, and then the slice-wise factor of safety along the slip surface can be obtained. The active and passive sections of the slope can be determined based on the distribution of factor of safety. The factor of safety of the whole slope is also defined as the ratio of the sum of antisliding force to the sum of sliding force on the slip surface. Two examples with different slip surface shapes are analysed to demonstrate the usage of the proposed method. The slice-wise factor of safety enables us to determine the sliding mechanism and pattern of a slope. The reliability is verified by comparing the overall factor of safety with that calculated by conventional methods.