Stress-strain state of reinforced thin-walled structural elements

Abstract

The most common structures designed for the installation of technological equipment in workshops are beam platforms mounted from rolled steel and sheet elements. The values of strains and stresses of ribbed plates obtained in accordance with the linear theory, significantly differ from the values obtained in terms of physical and geometrical nonlinearities. A joint consideration of the double nonlinearity significantly clarifies the mathematical model of the reinforced flexible plates and shells, which provides a complete idea of the stress-strain state of the structure. The paper presents a calculation algorithm for the flexible plates reinforced by a stiffening plates and hollow shells based on the Lagrange function method. The stress-strain state of a plate symmetrically reinforced by a stiffening plate is investigated under the uniform loading conditions.