Simple Bending Analysis of Building Floor Structures by a Bem Formulation Based on Reissner's Theo

Abstract

In this work, the plate bending formulation of the boundary element method - BEM, based on the Reissner’s hypothesis, is extended to the analysis of plates reinforced by beams. Equilibrium and compatibility conditions are automatically imposed by the integral equations, which treat this composed structure as a single body. In order to decrease the number of degrees of freedom, some approximations are considered for the displacements and tractions along the beam width. Therefore the problem values remain defined only on the beams axis and on the plate boundary without beams. The accuracy of the proposed model is showed by comparing the numerical results with a well-known finite element code.