STUDY OF THE INFLUENCE OF SHEAR STRESS AND DEFORMATIONS IN STEEL PLANE FRAMES THROUGH ADVANCED ANALYSIS
Advanced analysis, von Mises' model, Timoshenko's hypothesis, Distributed plasticity approach, Second-order effects, Steel Plane Frames.
Steel is a material used in projects and, currently, several studies are carried out to propose software programs based on Advanced Analysis concepts in order to provide results that are more consistent with the real structures’ behavior and enable the design taking advantage of the maximum load capacity of the structural system. Many works are based on classical Euler-Bernoulli theory; however, in the case of short structural members and I-shaped steel profiles, a more rigorous analysis taking into account the shear effects through the kinematic hypothesis of Timoshenko and the interaction of normal and shear stresses on cross-section yielding become necessary. The aim of this work is to present a study of the behavior of plane steel frames considering the influence of shear strains using the concepts of Advanced Analysis. The proposed numerical methodology takes into account the spread of plasticity within the cross section and along the member length, the residual stresses and the second-order effects P-∆ and P-δ. The inclusion of the effects caused by shear stresses in the plastification of members is carried out by implementing the von Mises yield criterion in the PPLANLEP software. From numerical models, it is possible to visualize the proper functioning of the software program to perform second-order elastoplastic analyses. Furthermore, it was observed that in structural models that were little subjected to shear efforts, the load capacities of the structural systems did not change when considering the von Mises yield criterion. Nevertheless, for beams, especially the shorter ones, the consideration of the interaction between normal and shear stresses in the cross-section yielding resulted in lower load capacities when compared to results considering only normal stresses.