Study of the Effect of Concentrated Load on an Elastic Half-plane

We consider obtaining results for calculating the values of normal stresses and displacements when an elastic half-space is exposed to concentrated loads. This problem can first be seen in Flamant's work. However, in classical solutions the magnitude of the normal voltage and displacement at point 0 is equal to infinity. This points to a number of shortcomings in Flamant's solution. In the works of Xiaobao Li, taking into account the shortcomings, he formulated a new equation for the action of concentrated loads on an elastic half-space. The solution to the equation differs significantly from the solution to the classical Flamand problem, forming a system of non-classical equations. The disadvantages of Xiaobao Li's solution include obtaining results using complex integral equations. The purpose of the research work is to determine normal stresses and displacements in the zone of concentrated loads on an elastic half-space using Mohr's equation based on the classical Flamant solution in structural mechanics. The relevance of this article lies in obtaining results by constructing a new, simpler system of equations that differs from classical and non-classical equations.