Settlement and bearing capacity of foundations adjacent to vertical excavation

Abstract

Introduction. This article provides a solution to the problem of the settlement and bearing capacity of foundations with finite width based on rigid soil body adjacent to vertical excavation when applying a uniformly distributed load on its surface. It is assumed, that the vertical wall is fixed with sprung structures, although vertical displacement of soil is acceptable. Materials and methods. The solution of the problem was obtained by the method of trigonometric Ribere – Fileon series. Formulas for determining vertical and horizontal deformations on any coordinate x and on any horizontal (z > 0) are also given. To determine the relationship between stresses and deformations, systems of Genky’s physical equations are used, which take into account the influence of σm on the shear modulus G(σm) and on the volume deformation modulus K(σm) and transform to the system of Hook’s equations at G = const and K = const. Results. The problem of the stress-strain state of a weighty layer of soil of limited capacity on a rigid soil body adjacent to vertical excavation when applying a uniformly distributed load on its surface was analytically solved. The deformations of the soil base εz were determined as the sum of shear and volumetric deformations (εz = εzγ + εzν). Based on the deformations obtained, the unevenness of the foundation settlement adjacent to vertical excavation was estimated. Conclusions. From the analysis of the results of the task, it follows that the solution of the problem of the settlement and bearing capacity of foundations with finite width based on rigid soil body adjacent to vertical excavation when applying a uniformly distributed load on its surface allows to evaluate the deformation of the foundation soils taking into account nonlinear properties. Also it provides to assess the unevenness of the sediment foundations of buildings. The further development of new methods for quantifying the stress-strain statement of soils based on known theoretical solutions is one of the main tasks of modern design of foundations and foundations of buildings and structures.