Graphical-Interactive Software to Support the Teaching of the Finite Element Method

Resumo

The Finite Element Method (FEM) is an approximate numerical method widely used in structural analysis. It consists of dividing a complex structure domain into several subdomains with simpler geometry, in order to solve the entire problem through the solution of its subparts. The association of the method with computational tools is already present in several Engineering programs, which provide final results in the form of internal force diagrams, nodal displacements and rotations, and stresses. In Civil Engineering courses, the method is primarily applied to the modeling of linear structural elements, also known as matrix structural analysis. However, the correct use of these tools requires previous knowledge of the fundamental theory behind the method, which is not the main focus of current available computer software. Therefore, the present study aimed to develop a computational tool designed to provide the intermediate steps and the logic of the method in a step-by-step approach, including an interactive graphical interface for structure modeling and visualization of final results. The tool was validated with several examples from the literature demonstrating its potential for educational use.