SHEAR-TORSION-BENDING INTERACTION IN RC BEAMS ACCORDING TO NBR 6118 AND AASHTO LRFD 2014
reinforced concrete; beams; bending; torsion; shear; interaction; optimization; NBR 6118; AASHTO LRFD.
Reinforced concrete beams are subjected to bending, torsion and shear simultaneously. The interaction of combined loading is complex and demands a unified model for analysis and design. Therefore, it’s common to use approximate procedures from technical standards or literature, that may lead to conservative or inconsistent results. This dissertation has created an automatic procedure to obtain a beam’s strength, according to the models taken from NBR 6118/2014 (variable angle truss model with parallel chords) and AASHTO LRFD Bridge Design Specifications 2014 (Modified Compression Field Theory). This algorithm has used an analogy that converts the resistance problem into a constrained optimization problem, generating an interaction surface that also displays the active constraints for each degree of interaction. Interaction surfaces were produced for three beams with experimental results available in the literature, plotting the tests data against the surface obtained by the standards. This document concluded that the proposed procedure was efficient and effective in predicting the beams’ resistance. The comparison between the interaction surfaces here generated and empirical data and other surfaces from the existing literature showed the procedure is consistent and its application simple and practical. The optimization approach guaranteed economical and safe results. The standards analysis demonstrated reasonably safe results in comparison with experimental data.