Stability analysis of homogeneous slopes with benches

Lianheng Zhao , Peng Xia , Rongfu Xie , Liang Li , Yingbin Zhang , Xiao Cheng

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 Fs 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.

Key Words

slope stability analysis; safety factor; shear strength reduction technique; limit analysis

Address

(1) Lianheng Zhao, Peng Xia, Liang Li, Xiao Cheng — School of Civil Engineering, Central South University, Changsha, Hunan 410075, China
(2) Lianheng Zhao — Key Laboratory of Heavy-Haul Railway Engineering Structure, Ministry of Education, Central South University, Changsha, Hunan 410075, China
(3) Rongfu Xie — Xiamen Municipal Engineering Design Institute Co., Ltd., Xiamen, Fujian 361004, China
(4) Yingbin Zhang — Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu 610031, China
(5) Yingbin Zhang — Department of Geotechnical Engineering, School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China.

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