The stress-strain state of the soil body in the quarter plane subjected to the strip load

Introduction. The construction of high-rise buildings, having elaborated substructures located inside deep excavations, entails a quantitative evaluation of the stress-strain state (SSS) of soils beyond the excavation wall with regard for the interaction with the surrounding built-up area and conditions of the contact with the enclosure structure. The paper analyzes the effect of distributed load p = const over a horizontal area having width b = 2a at the distance of с < a from the edge of a rectangular profile wall, which causes a non-uniform stress-strain state in the soil body having the shape of a quarter plane. It is assumed that the vertical wall is fixed with sprung structures, although vertical displacement of soil is acceptable. Materials and methods. The analytical solution to the problem of the effect of the distributed load on the horizontal soil body having the shape of a quarter plane is based on a well-known solution to the plane elastic problem designated for the half-space subjected to load p = const distributed over a strip. MathCAD software (SW) was employed to obtain the analytical solution; PLAXIS 2D software was used to obtain the numerical solution. Results. Analytical and numerical methods were applied to solve the problem of exposure of a horizontal soil body, having the shape of a quarter plane, to a distributed load. A comparative assessment and analysis of the stress strain state values were performed. Conclusions. Analytical and numerical solutions demonstrate good convergence pursuant to the analysis of the results. Therefore, further development of new methods for the quantitative evaluation of the stress strain state of the soil body based on the existing theoretical solutions is one of the main challenges to be tackled in advanced design of beddings and foundations.