Análise da confiabilidade estrutural de vigas em concreto armado pelo Método de Monte Carlo

Abstract

An important step in a structural project is the dimensioning and detailing of its elements, in which the safest and most economical solution is sought. Although the normative guide indicate which checks must be take into consideration, such as strength, stability and durability, addressed by NBR 6118:2014 - Project of Concrete Structures - Procedure, the different variables that govern the problem, for example the loading and the material properties, are exposed to modifications, whether due to use or constructive mistakes, which can lead to unexpected behavior and, consequently, serious problems to ensure effective protection for the user. Considering these aspects, this work aims to explore the Structural Reliability Theory applied to reinforced concrete beams, as this is one of the main materials used in buildings in Brazil, using the Monte Carlo Method to calculate the probability of a limit state violation element when subjected to bending. Initially, the validity of the method was verified from two examples available in the literature and then with the proposition of the failure function, the MATLAB software was used to study two beams, continuous and simply supported, of a house of one floor, initially dimensioned using TQS software. The obtained results indicate that both beams, when weighting coefficients are not used, have adequate reliability indices. Thus, it is proved that the analysis of the reliability of a structure supports a more effective safety of the building and gives greater prudence to the responsible engineer in the dimensioning phase.