Desenvolvimento de uma ferramenta computacional para análise de estabilidade de pórticos tridimensionais

Abstract

With advancements in materials technology and construction processes, engineers are now able to design large-scale structures that occupy less space, are lighter, and consume fewer materials. However, these structures become slender and more susceptible to structural stability problems. For this reason, the computer programs commonly used in civil engineering need to be updated to provide numerical data aligned with the reality of the projects. This work aims to develop a computer program that allows for the linear stability analysis of structures modeled with frame elements, with applications in building design. The program was implemented in Fortran, using the Finite Element Method in its formulation based on the Energy Method. The tool is capable of calculating displacements, critical loads, and instability modes in three-dimensional frames. For validation, some examples were performed, and the results were compared with those obtained by the MASTAN2 structural analysis software. Structures whose complexity makes resolution difficult with manual calculations were analyzed, with the aim of evaluating the performance and practical applicability of the developed program.