Mathematical Analysis for the Evaluation of Settlement and Load-Bearing Capacity of a Soil Base Adjacent to an Excavation Pit

The present paper states and provides an analytical solution for the problem of evaluating settlement load-bearing capacity weighty soil layers limited thickness resting upon incompressible bases excavation pit wall exposure foundation to a distributed load in vicinity wall. authors develop method determining stressed state component reduced engineering based on Ribere–Faylon trigonometric series accounting nonlinear deformation properties soils, building dependencies S.S. Grigoryan S.P. Timoshenko. In order determine relationship between stress strain, Hencky’s physical equation systems were used. They factor impact average stresses ?m shear modulus elasticity G (?m) volumetric K (?m). obtained solutions make it possible assess with respect way that accurately corresponds actual performance subsoils exposed loading. theoretical results are followed by numerical experiments prove their validity.