Modelling of a reinforced concrete beam using an semi-analytical approach

Abstract

This paper presents a semi-analytical model of a reinforced concrete beam based on the Timoshenko beam theory and the Pb-Ritz method. The programming performed on the Matlab platform allows us to determine the displacement, strain, and stress fields in the beam. The result is then compared with the empirical tests to validate the modelling. Numerical studies are performed to clarify the stress distribution on a cross section and on all beam domains, as well as the contribution of concrete and steel to the stiffness of the beam.

Keywords: Reinforced concrete beam; semi-analytical approach; timoshenko beam theory; Pb-Ritz method.