Abstract
This study has applied the Bayesian updating scheme and the stochastic finite element method (SFEM) to the Load and Resistance Factor Design (LRFD) method of a round bar having random geometry. The LRFD method is able to take into account separately the stochastic variability in material strength, in geometrical randomness of structural components and in loads applied to the components. Therefore, this method makes it possible to keep up the reliability of the components during the period of use. The LRFD method, however, has a problem that it requires vast amount of data for performing the design. Addressing this problem, in this study, the Bayesian updating scheme, which requires only small amount of data, has been applied to the LRFD method. The SFEM and the Markov chain Monte Carlo (MCMC) method have been adopted in this study to analyze the stochastic variability in component geometry as well as in loads and to perform the Bayesian updating, respectively in the LRFD.
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