Residual stress distribution in built-in beams

Abstract

Metallic hyperstatic structures, like beams, submitted to excessive loads, do not fail completely before fully yielding in more than one cross section. Indeed, for built-in beams, three cross sections must be fully yielded before the final failure can occur. So, modeling the evolution of the cross-section residual stress distribution is an important subject that should be addressed to guarantee the stress analysis modeling correctness. This paper analyses the residual stress distribution evolution, in critical cross sections, of built-in beams during a transversal concentrated load growth, until the final failure through hinges formation. A finite element model is also presented. The results show good matches with the numerical model, used as a reference.

The Influence of Sequential Loading in Residual Stress Generation

“…The pure bending loadings, that were used, can be executed through the imposition of a radius of curvature smaller than the yielding radius of curvature (ρY), which is the curvature radius that the structure begins to yield. The equations shown in this section were obtained for an elastic perfectly plastic material, as in Estevam and Medina (2021), de Castro et al (2020), de Castro et al (2019) and Castro and Meggiolaro (2016). The bending moment that the structure, with rectangular cross-section, begins to yield (MY) and the bending moment that the structure ends to yield (MP) are show in Equation 1.…”