A method for calculating the anchor force of 3-D anchored slopes and its application

Linghui Wang and Kunlin Lu ()
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Linghui Wang: Hefei University of Technology
Kunlin Lu: Hefei University of Technology

Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, 2024, vol. 120, issue 8, No 17, 7433 pages

Abstract: Abstract This paper proposes a method for determining the anchor force of a 3-D anchored slope based on the limit equilibrium analysis and the modification of the normal stress over the slip surface method. For a slip surface, the required anchor force can be calculated with the given factor of safety. Four limit equilibrium equations containing anchor forces are therefore established for 3-D slope. The nonlinear relationship between the factor of safety and the anchor force is turned into a linear relationship between the horizontal seismic coefficient and the anchor force by the force and moment equilibrium conditions. With a given factor of safety, the initial normal stress of the 3-D anchored slope is supposed and modified by a modifying function. An iterative procedure is proposed to determine the anchor force with a prescribed value of $$K_{c}$$ K c and to ensure that the normal stresses are positive on the whole slip surface. The method applies to any slip surface, and its practical engineering application confirms its efficacy.

Keywords: 3-D anchored slope; Anchor force; Limit equilibrium; Modifying the normal stress (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s11069-024-06524-1

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