Author(s)

A.J.M. de Figueiredo, A.M. Adao da Fonseca, A.F.M. Azevedo

Abstract

A mathematical model for the analysis and optimization of reinforced concrete slabs is presented. The formulation is based on the yield line theory and requires the discretization of the slab into a mesh of triangular finite elements. The yield lines are located on the sides of the finite elements and their identification is automatically achieved. The reinforced concrete exhibits an elastic perfectly plastic behavior and the static, kinematic and constitutive relations may be organized into mathematical programs. Constraints expressing the serviceability limit states or any other requirement may be added to the mathematical programs. In the analysis problem, the collapse load parameter and the variables

Keywords