Elaboração de algoritmo para análise de vigas utilizando a linguagem de programação Python

Abstract

Structural analysis is a fundamental field of civil engineering, ensuring the safety of constructed structures and their economic feasibility. Beams, which are key elements of structures, require efficient and precise analysis to determine the internal force distributions and displacements. The resolution of problems in civil engineering is greatly facilitated by the use of computational technology, which has made significant progress in recent decades. The development of solutions to complex structural problems is supported by applying the direct stiffness method in an algorithm. Given the need to improve the resolution of exercises, this work aims to study and produce a code in the Python programming language that allows for the generation of shear force and bending moment diagrams, as well as the determination of principal stresses, along beams subjected to different loading conditions and constraints. The methodology involves structuring the code to match the stiffness equations and validating the results through analysis and comparison with solutions obtained from the Ftool software. Python is a programming language that simplifies code development, with an extensive library of functions and ease of learning due to its large community. The developed code has proven to be an effective approach for using the direct stiffness method to solve various types of structural engineering exercises efficiently.