IMPLEMENTAÇÃO COMPUTACIONAL EM LINGUAGEM PYTHON DE ELEMENTO DE PÓRTICO PLANO PARA CÁLCULO DE ESTRUTURAS COM NÓS ROTULADOS

Abstract

The development of computational tools for numerical analysis of structures has been growing in recent years, making it possible to perform highly complex analyses regarding both materials and different combinations of external actions acting on structural elements. However, in the case of plane frames, the procedure for matrix analysis of structures with the presence of hinges is not clearly explained in the literature. Therefore, this work proposed the development of a computational code in Python language capable of calculating displacements and stress of plane frames that have hinged nodes, clearly outlining the necessary procedures. To carry out this work, a literature review was done on the matrix analysis of plane frame structures and the procedures for inserting articulated elements in them. Subsequently, a computational code of a base program was implemented to calculate displacements and stress of plane frames without the presence of hinges. An algorithm was also developed capable of determining the positions of the stiffness coefficients in the global stiffness matrix in plane frames containing hinges (hinged nodes), inserting this subroutine into the base program. After performing tests with various structures, it was concluded that this computational code is capable of determining the values of displacements and stress of structural elements existing in plane frames that have hinged nodes.