The analysis of the simplified theory of soil pressure on steep retaining walls detected the absence of clear mathematical dependence between the curvature of the surface contacting with bulk material and the nature of the lateral pressure profile. The problem of the dependence between the equation describing the load-bearing surface of the retaining wall and the equation specifying the lateral pressure function of the bulk material on this surface is considered. The formulation of the problem is based on hypotheses and assumptions that correspond to the Coulomb theory according to which the pressure of the bulk material on the side surface is directly dependent on the lateral pressure coefficient, which in its turn, is in a trigonometric dependence on the angle of inclination to the vertical that takes this surface pressure. Exact dependence is obtained in the form of a fourth-degree equation between the function describing the lateral pressure profile on the bulk material and the tangent of the angle between the vertical plane and the tangent to the generatrix of the back face of the retaining wall. Account of the seismic effect in the design of retaining structures is analyzed. Strategy for searching the dependence between the configuration of the retaining wall contacting with the ground and the nature, magnitude of the effect of the seismic load on the structure taking this pressure was proposed by analogy with the static formulation of the task.

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