Calculation of a beam with external reinforcement. Contact layer model

Abstract

Abstract The article is devoted to the stress-strain state study of the beam, with external reinforcement in the tensile zone. The classical Euler-Bernoulli hypotheses are used for the beam. The interaction of the beam with the reinforcement layer is carried out using the contact layer. In order to simplify the previously obtained solution, the flexural stiffness of the reinforcement layer is not taken into account. As a result, the solution of the resolving equations system for this model has been obtained. It is shown that the obtained solution allows satisfying all boundary conditions, including the equality to zero of the shear stresses at the corner points. The influence of various mechanical and geometric parameters on the stress-strain state of the beam, the reinforcement layer and the contact layer is analyzed. The influence of the introduced simplifications on the solution results is analyzed.