Análise matricial de estruturas pelo método da rigidez – Pórtico espacial

Abstract

The purpose of this work is to generate a computational code, which uses the rigidity method as an artifice, for the analysis of spatial frame structures. The method engine employed makes use of matrix calculations, which are remarkably effective for programming. For a perfect understanding of structural analysis, elementary concepts are presented, such as the characterization of the structure used, the idealization from the real model to the computational model, the conditions governing the behavior of the studied members and the interactions between actions and displacements. Based on the stiffness method, calculations for obtaining displacements, support reactions and member end actions are denoted. The member stiffness matrices, the space rotation matrix, the global stiffness matrix and finally the interactions of the loadings on the elements are also presented. Based on these considerations, an algorithm was created, which, through examples, calculated the displacements and support reactions of three-dimensional structures in addition to two-dimensional structures. The results were compared with other software and other similar works, making it possible to analyze the accuracy of the results and the speed of processing the program.