A New Calculation Method of Force and Displacement of Retaining Wall and Slope

On the basis of the force and safety factor analysis of traditional retaining walls, a new analytical method of force and displacement of the slope is suggested, the numerical theoretical solution of the stress distribution of the sliding body can be obtained under the conditions, which the stresses...

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Main Authors: Yingfa Lu, Wenqing Sun, Hao Yang, Junjie Jiang, Lier Lu
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/9/5806
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author Yingfa Lu
Wenqing Sun
Hao Yang
Junjie Jiang
Lier Lu
author_facet Yingfa Lu
Wenqing Sun
Hao Yang
Junjie Jiang
Lier Lu
author_sort Yingfa Lu
collection DOAJ
description On the basis of the force and safety factor analysis of traditional retaining walls, a new analytical method of force and displacement of the slope is suggested, the numerical theoretical solution of the stress distribution of the sliding body can be obtained under the conditions, which the stresses distribution are satisfied with the differential equilibrium equations, the boundary conditions, the compatibility equation and the macroscopic equilibrium equations. The interface stresses between the sliding body and the retaining wall is continuous, and the theoretical solution of retaining wall stress distributions can be obtained, while the stress differential equilibrium equation, the compatibility equation, macroscopic force, and moment balance equations are satisfied. The strain and displacement solutions can be obtained by using Duncan Chang and Hooke constitutive equations for the slope and the retaining wall, respectively. The transfer station of landfill in the Guandukou Town of Badong County is taken as an example, the results of the sliding body and retaining wall analysis show: The stress and strain solutions of a slope and a retaining wall can be obtained by the proposed method. The anti-slip force of the retaining wall calculated by the method in this paper contains the positive pressure and shear force along the contact surface and varies with the deformation of the slope, in addition, the numerical theoretical solution of the retaining wall shows that the retaining wall shape and material can be optimized according to the calculation results. It is feasible for the proposed analysis method of slope with retaining wall design to be run many years.
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spelling doaj.art-03177f3c752747e48c3a3ce829d6cf172023-11-17T22:39:05ZengMDPI AGApplied Sciences2076-34172023-05-01139580610.3390/app13095806A New Calculation Method of Force and Displacement of Retaining Wall and SlopeYingfa Lu0Wenqing Sun1Hao Yang2Junjie Jiang3Lier Lu4School of Civil Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Civil Architecture and Environment, Hubei University of Technology, Wuhan 430068, ChinaSchool of Engineering, China University of Geosciences (Wuhan), Wuhan 430074, ChinaOn the basis of the force and safety factor analysis of traditional retaining walls, a new analytical method of force and displacement of the slope is suggested, the numerical theoretical solution of the stress distribution of the sliding body can be obtained under the conditions, which the stresses distribution are satisfied with the differential equilibrium equations, the boundary conditions, the compatibility equation and the macroscopic equilibrium equations. The interface stresses between the sliding body and the retaining wall is continuous, and the theoretical solution of retaining wall stress distributions can be obtained, while the stress differential equilibrium equation, the compatibility equation, macroscopic force, and moment balance equations are satisfied. The strain and displacement solutions can be obtained by using Duncan Chang and Hooke constitutive equations for the slope and the retaining wall, respectively. The transfer station of landfill in the Guandukou Town of Badong County is taken as an example, the results of the sliding body and retaining wall analysis show: The stress and strain solutions of a slope and a retaining wall can be obtained by the proposed method. The anti-slip force of the retaining wall calculated by the method in this paper contains the positive pressure and shear force along the contact surface and varies with the deformation of the slope, in addition, the numerical theoretical solution of the retaining wall shows that the retaining wall shape and material can be optimized according to the calculation results. It is feasible for the proposed analysis method of slope with retaining wall design to be run many years.https://www.mdpi.com/2076-3417/13/9/5806numerical theoretical solutionequilibrium equationstress and strain distributionsloperetaining wall
spellingShingle Yingfa Lu
Wenqing Sun
Hao Yang
Junjie Jiang
Lier Lu
A New Calculation Method of Force and Displacement of Retaining Wall and Slope
Applied Sciences
numerical theoretical solution
equilibrium equation
stress and strain distribution
slope
retaining wall
title A New Calculation Method of Force and Displacement of Retaining Wall and Slope
title_full A New Calculation Method of Force and Displacement of Retaining Wall and Slope
title_fullStr A New Calculation Method of Force and Displacement of Retaining Wall and Slope
title_full_unstemmed A New Calculation Method of Force and Displacement of Retaining Wall and Slope
title_short A New Calculation Method of Force and Displacement of Retaining Wall and Slope
title_sort new calculation method of force and displacement of retaining wall and slope
topic numerical theoretical solution
equilibrium equation
stress and strain distribution
slope
retaining wall
url https://www.mdpi.com/2076-3417/13/9/5806
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