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Stability analysis of homogeneous slopes with benches

  • Zhao, Lianheng (School of Civil Engineering, Central South University) ;
  • Xia, Peng (School of Civil Engineering, Central South University) ;
  • Xie, Rongfu (Xiamen Municipal Engineering Design Institute Co., Ltd.) ;
  • Li, Liang (School of Civil Engineering, Central South University) ;
  • Zhang, Yingbin (Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, Southwest Jiaotong University) ;
  • Cheng, Xiao (School of Civil Engineering, Central South University)
  • Received : 2015.11.26
  • Accepted : 2017.04.26
  • Published : 2017.09.25

Abstract

In this paper, with a graphical approach, a series of stability charts for homogeneous slopes with benches are presented based on the upper bound limit analysis theory and strength reduction technique. The objective function of the slope safety factor $F_s$ is optimized by the nonlinear sequential quadratic programming, and a substantial number of examples are illustrated to use the stability charts for homogeneous slopes with benches driven by only the action of the soil weight. These charts can be applied to quick and accurate estimations of the stability status of homogeneous slopes with benches. Moreover, the failure modes and the formula for safety factor Fs of homogeneous slopes with benches are provided to illustrate the stability analysis of slopes with benches, which is validated by samples.

Keywords

Acknowledgement

Supported by : Natural Science Foundation of China, Central South University, Guizhou Provincial Department of Transportation Foundation

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