Deflections of uniformly stressed reinforced plates with account for their weakened resistance to the transverse shear

Abstract

The hypotheses of the Reissner theory are used to formulate the problem of uniformly stressed reinforcement (USR) of transversely bent elastic plates by fibers with a constant cross section. The analysis of the corresponding system of governing equations and boundary conditions is performed. The model problem of USR of rectangular elongated plates subjected to cylindrical bending with various types of loading of one of the longitudinal edges and rigid clamping of the other one. It is shown that there could exist two solutions of the USR problem, one of which is regular and the other one singular. The edge effects occurring in the presence of the torque applied to the edge, which significantly affects both the stress–strain state of the binder material and the reinforcement structure, are revealed.