Mathematical model for evaluating the stress-strain state of transport structures made of prefabricated corrugated metal constructions depending on the modulus of elasticity of the foundation soil

The object of this study is transport structures made of prefabricated corrugated metal constructions. A method is presented for replacing the corrugated shell profile of a transport structure with a smooth orthotropic shell by recalculating the equivalent physical and mechanical parameters of the shell. Comprehensive studies of the stress-strain state of prefabricated corrugated metal structures of transport facilities were carried out using finite element modeling in the Plaxis software package. Dependencies were obtained between the vertical and horizontal deformations of the metal shell and the modulus of elasticity of the foundation soil. It was established that an increase in the modulus of elasticity of the foundation soil leads to a decrease in the vertical deformations of the metal structures. However, axial forces and horizontal deformations in the metal structures increase. At the same time, the increase in horizontal deformations is insignificant, and when the modulus of elasticity of the foundation soil exceeds 90 MPa, these deformations stabilize.