Desenvolvimento de código computacional baseado no método dos elementos finitos para avaliação do comportamento estrutura de vigas Gerber

Abstract

The objective of this work is to develop a computational code in Matlab that employs the Finite Element Method for the elastic linear analysis of Gerber beams, considering the Euler-Bernoulli beam theory and two-node bar elements with two degrees of freedom at each node: transverse displacement and nodal rotation. A third-degree polynomial function is used to approximate displacements along the elements. To validate the developed code, various examples of Gerber beams with different types of loads and supports are presented at the end of the work. The results of each example are compared with those provided by Ftool, a software for linear-elastic analysis of structural elements. The results indicate that the developed code provides accurate and reliable solutions for Gerber beams.