Otimização de treliças metálicas planas em perfil tubular circular

Abstract

The present work aims to develop and validate an optimal mathematical model that determines the cross section of flat metal truss bars in circular tubular profile, with the lowest possible mass. In order to establish numerical comparisons, two analyzes were performed. The first considers the criteria established by ABNT NBR 8800: 2008 - Design of steel structures and mixed structures of steel and concrete of buildings, for non-linear analyzes of a continuous and discrete character, while the second considers the criteria established by ABNT NBR 16239: 2013 - Design of steel structures and mixed structures of steel and concrete in buildings with tubular profiles, for nonlinear analysis of a continuous character. For the solution computation of the minimization problem, the MATLAB software and its auxiliary library fmincon were used. Restrictions of normal resistant strength, limitation of slenderness and maximum permissible displacements were considered. The results obtained demonstrate a reduction in the mass of the optimized structures when there is convergence of the algorithm, proving, therefore, its efficiency in determining the points of local minimum of the optimization problem.