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Study on the limit equilibrium slice method considering characteristics of inter-slice normal forces distribution: the improved Spencer method

  • Shunchuan Wu
  • Longqiang Han
  • Ziqiao Cheng
  • Xiaoqiang Zhang
  • Haiyong ChengEmail author
Original Article
  • 25 Downloads

Abstract

The limit equilibrium slice method is a universal method to determine the safety factor of a slope. However, the forms of the inter-slice normal forces distribution are not considered in the traditional limit equilibrium slice method, and the influence of different positions of thrust lines on the safety factor is not considered. Thus, an improved Spencer method is developed here, wherein the characteristics of the inter-slice normal forces distribution are considered. The safety factor of a deep concave sliding surface is calculated, and a difference of approximately 20% is found between the safety factors that are obtained using the improved method and those obtained using the traditional method. The influence rule of different forms of the inter-slice normal forces distribution on the safety factor has been studied, and the influences of various factors on the inter-slice forces contribution, the stress state of the slice and the stress state of the slip surface have been analysed. Finally, two case studies are combined to illustrate the impact of the improved method on engineering safety and economic benefits.

Keywords

Limit equilibrium slice method Inter-slice normal forces Thrust line Safety factor Improved Spencer method 

Notes

Acknowledgements

The work is supported by the National Key Research and Development Funding projects of China (Nos. 2017YFC08053003), the National Natural Science Foundation of China (51934003), the Program for Innovative Research Team (in Science and Technology) in University of Yunnan Province, and the Research Start-up Fund for Introduced Talent of Kunming University of Science and Technology (KKSY201821024).

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Faculty of Land Resources EngineeringKunming University of Science and TechnologyKunmingPeople’s Republic of China
  2. 2.Key Laboratory of Ministry for Efficient Mining and Safety of Metal MinesUniversity of Science and Technology BeijingBeijingPeople’s Republic of China
  3. 3.Power China Road Bridge Group Co., Ltd.BeijingPeople’s Republic of China

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