Пространственная контактная задача опирания балки на четвертьпространство

Abstract

The article discusses the solution of the contact problem for the hinge assembly of the singlespan beam. The main goal is to determine the stress state of the beam bearing area on the walls. This solves the problem of constructing surfaces and isolines of reactive pressures in the area of direct contact of the beam and walls, determining the design span of the beam, the influence of the size of the contact zone on the maximum bending moment in the middle of the span of the beam, determining the contact area at various flexibilities, and building vertical isolines wall movements. The calculation is carried out by the B.N. Zhemochkin method, the implementation of which for this problem corresponds to the mixed method of structural mechanics. As an example, the calculation is performed on a concentrated load applied in the middle of the span of the beam.