Abstract

The stability analysis of uniform clay and sand slope is carried out using traditional limit equilibrium method and strength reduction method. In order to evaluate the influence of strength parameters including friction angle and cohesive strength, the errors among Fellenius’s method, Bishop’s method and strength reduction method are calculated in detail. The results are: 1) the safety factor obtained from Fellenius’s method is smaller than that obtained from Bishop’s method; 2) the error between Bishop’s method and strength reduction method usually firstly increases and then decrease as the friction angle/cohesive strength becomes larger.

Highlights

  • The stability analysis of the slope is always the highlight of geotechnical engineering including hydraulic engineering, transportation engineering, tunnel engineering etc

  • In 1916, the Swedish method is proposed by Fellenius and Taylor[1], which is the earliest method for the slope stability analysis

  • With increasing friction angle the error between Fellenius’s method and strength reduction method increase gradually and the maximum error is as large as 9.37% when φ=35

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Summary

Introduction

The stability analysis of the slope is always the highlight of geotechnical engineering including hydraulic engineering, transportation engineering, tunnel engineering etc. During the development of the slope research, lots of calculation methods of the safety coefficients have been proposed. In 1916, the Swedish method is proposed by Fellenius and Taylor[1], which is the earliest method for the slope stability analysis. In this method, the sliding surface is supposed to be arc and the positive slide force is on the tangent direction of the weight in the calculation. There are lots of influence factors of the slope stability, such as the range of computation model, the strength parameters including cohesive strength and inner friction angle. The safety factor of the slope is determined by Fellenius’s method, Bishop’s method and strength reduction method repectively. The maximum error is 8.65% when φ=35 and the minimum error is 0.72% when φ=15

Influence of φ for clay slope
Influence of c for clay slope
Influence of φ for sand slope
Influence of c for sand slope
Conclusions
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