Mathematical Computations of Long-Term Settlement and Bearing Capacity of Soil Bases and Foundations near Vertical Excavation Pits

The present paper describes 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 developed method determining stressed state component reduced engineering based on Ribere–Faylon trigonometric series, accounting nonlinear deformation properties soils. To determine over time near pit, we used A.Z. Ter-Martirosyan’s model describe shear deformations Kelvin–Voigt volume deformations, assuming that ε·z(t) = ε·v(t) + ε·γ(t), according Hencky’s system physical equations. obtained solutions make it possible assess long-term with respect rheological way accurately corresponds actual performance subsoils exposed loading. theoretical results were followed by numerical experiments prove their validity.