Settlement and Bearing Capacity of Rectangular Footing in Reliance on the Pre-Overburden Pressure of Soil Foundation

Zaven G Ter-Martirosyan,Armen Z Ter-Martirosyan,Huu H Dam

doi:10.3390/app112412124

Zaven G Ter-Martirosyan, Armen Z Ter-Martirosyan + Show 1 more

Open Access

https://doi.org/10.3390/app112412124

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Journal: Applied Sciences	Publication Date: Dec 20, 2021
Citations: 3	License type: CC BY 4.0

Affiliation: Moscow State University of Civil Engineering

Abstract

This article presents a solution for the quantitative evaluation of the stress–strain state (SSS) and the bearing capacity of rectangular foundations, factoring in the unit weight of the soil mass and different values of pre-overburden pressure (POP). In order to assess the SSS of the soil subgrade below a rigid rectangular footing under a uniformly distributed load, the authors applied the Boussinesq basic solution for an elastic half-space subjected to a vertical point load on its surface. As a result, the formulas for vertical stress, mean stress, shear strain, and volumetric strain for any point in Cartesian coordinates (x, y, z) and foundation settlement were determined. Additionally, the application of Hencky’s system of physical equations, with non-linear dependencies between mean stress and volumetric strain as well as deviator stress and shear strain, along with the experimental curves, depicts the relationships between bulk modulus and volume stress, and shear modulus and shear stress. The authors point out the non-linear behavior of the subgrade soil and propose a method for estimating the bearing capacity of a rigid rectangular foundation.

Highlights

The solutions for the problem of settlement of rigid rectangular footings have been proposed by a variety of authors [1,2,3,4,5,6] with various approaches
To calculate shear strain and volumetric strain, the elastic–perfectly plastic model of Timoshenko [7] and the non-linear model proposed by Grigoryan are applied to indicate the non-linear behavior of the soil subgrade below a rectangular footing subjected to a uniformly distributed load, thereby achieving a dependency of deformation on load with a double curvature
The varying values of shear modulus and bulk modulus depending on the deviator stress are elucidated clearly at any point in Cartesian coordinates

Summary

Introduction

The solutions for the problem of settlement of rigid rectangular footings have been proposed by a variety of authors [1,2,3,4,5,6] with various approaches. By considering the vertical displacement as a result of components due to shear strain and volumetric strain of a loaded soil element, the authors denote the non-linear dependence between applied load and strain components and the approach to the bearing capacity of rigid rectangular footings.

Results

Conclusion