STRUCTURAL RELIABILITY OF TWO-DIMENSIONAL NONLINEAR STEEL FRAMES
Danilo Luiz Santana Mapa1; Marcilio Sousa da Rocha Freitas1; Ricardo Azoubel da Mota Silveira1; Andréa Regina Dias da Silva1
1 Universidade Federal de Ouro Preto
doi:10.20906/CPS/CILAMCE2017-0811
Resumo
There are various sources of uncertainty in structural analysis and they should be taken into account in order to make proper assessment of structural safety. The reliability methods make it possible to quantify, in a probabilistic way, the safety of a structure, since it allows the evaluation of the limit states violation probability, which are relevant to the structural design. In the present work, a computational tool was developed in MATLAB aims to perform the reliability analysis of two-dimensional steel frames, by advanced finite element structural analysis, considering the effects of geometric nonlinearity and semi-rigid connections. In order to perform advanced structural analysis of steel frames, the program Computational System for Advanced Structural Analysis (CS-ASA) developed by Silva (2009) was adopted. The tool developed employs the FORM method and the Monte Carlo simulation method, making it possible to evaluate the safety level (probability of failure) of structures with nonlinear behavior. The failure criteria of structures are expressed in terms of the ultimate and serviceability limit state performance functions. Using the computational tool developed, the structural reliability analysis of several numerical examples of two-dimensional steel frames found in the literature was carried out. By analyzing the obtained results and comparing with the ones found by other authors, it was possible to validate the computational implementation, attesting its accuracy and efficiency in the structural reliability analysis of steel frames. The results of the numerical examples show that it is essential to properly consider the presence of partially restrained connections and the effects of geometric nonlinearity in the analysis and design of frames.
Palavras-chave: Structural reliability; 2D steel frames; advanced structural analysis; partially restrained connections; MATLAB