Análise de pórtico plano pelo método da rigidez direta, com otimização de vigas em concreto armado

Abstract

With the advancement of technology, civil works structures have become increasingly complex and, consequently, subject to loads that result in large efforts. This type of behavior has become one of the many challenges of engineering, where safety must be ensured through structural elements that can withstand such efforts, and economic aspects must be taken into consideration in the context of structural projects. Using mathematical and computational models, structural analyses can be performed to predict how a given structure will behave when in full occupancy and use. However, economic factors can also be decisive in the construction environment, and it is of great importance that a structural model obtained through architecture be economically feasible. In this sense, the present end-of-course work aimed to develop a computational program to perform a structural analysis of reinforced concrete plane frames, where it was also implemented an algorithm that provides the optimization of reinforced concrete beams, a beam that is subject to the efforts of the structure as a whole and not separately, where it was established an objective function called Cost Function, in order to obtain a value corresponding to the cost for the execution of the beam under study. The computational programs were developed in Python programming language. Using the Direct Stiffness Method, an algorithm was implemented to perform the structural analysis in which only first order effects were considered. Based on the data obtained from the structural analysis, the optimization of the cost function was performed, also using the Python programming language, for a beam present in the structure, in which the optimum minimum value for its execution was obtained.