Análise numérica de seções reforçadas de concreto armado considerando o estado inicial de tensões

Abstract

This work deals with the formulation and computational implementation, in MATLAB, for numerical analysis of reinforced concrete cross-sections, subject to bending, considering the stress state prior to reinforcement. The analysis is made by generating axial load – bending moment interaction diagrams by two methods: a) scan of the ruin domains established by the Brazilian standard NBR6118/2003 b) determination of peaks in Axial Force-Moment-Curvature Relationships. In both methods, the midpoint rule for numerical integration is applied in the resistant stress calculation, and the Newton Raphson root-finding procedure is used to determine the strain in the reference axis of the cross-section, in order to obtain the Axial Force- Moment-Curvature Relationships. Preliminarily, it was concluded that the first of the two methodologies is not feasible. Subsequently, the effectiveness of the second method was confirmed. Finally, it was possible to expand the scope of this work in order to allow the analysis of cross-sections of any shape throughout the course of staged construction, considering the initial stress state of each stage. The computational implementation for this study was based on the program for numerical analysis of sections SECLAB, developed by Professor Remo Magalhães de Souza.