Settlement of a foundation slab, non-uniform in depth

Abstract

The paper describes the formulation and solution of problems for the quantitative evaluation of settlements and bearing capacity of rectangular and circular foundation slabs constructed on the base with deformation (K, G or E, ν) properties of continuously varying heterogeneity in the depth due to the conditions of its formation. It is shown that the inhomogeneity of the deformation properties of the foundation soils over depths has a significant effect on the formation of additional stress and strain states under the influence of a uniformly distributed external load over the area of a rectangle and circle, where, with growth of loading area (A) relative settlement (S/√A) depends nonlinearly on √A and decreases with growth of √A up to two or more times. As a computational model for the soil base, the paper considers the nonlinear geomechanical Klein model, according to which the stress-strain modulus of soils increases with depth according to the law of a power function of the form: E(z) = E1zn, where n≤1. The solution of the SSC problems for an inhomogeneous ground half-space under the influence of a local load was obtained by an analytical method using the Mathcad software complex on the basis of the Boussinesq-Frohlich concentrated force problem. The results of the solution are presented in tables and distribution diagrams σ(z)and S(z), as well as S = f2(√A, n).