Desenvolvimento de ferramenta computacional para a análise estrutural de pórticos planos

Abstract

The structural design consists of a process of idealization of the structure so that it can withstand the loads imposed with safety and economy. Within the structural design there is the structural analysis, where it is made an idealization of the behavior of the structure through the analysis of internal and external stresses and deformations. Among the various methodologies for calculating effort and displacement, the Force Method and the Displacement Method are highlighted. Although they are general methods, they become cumbersome in the analysis of complex structures. With the emergence of computers, which have much higher computational capacity than human, such complex structures can be calculated much faster. Among the methods of calculation the Direct Stiffness Method is highlighted, which is the one used in commercial structural calculation software. Most free structural calculation software does not allow for detailed analysis of the structure, limiting itself to the calculation of efforts and displacements. In this context, the present work aims to implement the Direct Stiffness Method in a routine that performs the calculation and analysis of lattice frames, created in MATLAB software. For the validation of the program created, a comparison of the results generated with those obtained by other methods and by the structural calculation software Ftool is made. The results obtained are satisfactory, observing excellent agreement with those obtained by other methods.