Abstract
Sufficient information about uncertain parameters is unavailable and very costly in the conventional reliability analysis of the retrofitted RC bridge. The non-probabilistic convex set only requires small samples to obtain the variation bounds of uncertain parameters. An interval set denotes the variation range of an uncertain parameter, and two convex sets reflect the relationships of uncertainty parameters. The non-probabilistic reliability analysis model is developed based on limit-state function and convex model. The non-probabilistic reliability index is solved by the gradient projection method. The engineering example shows that the non-probabilistic reliability is reasonable and economical, and perfects the method and theory of reliability analysis for the retrofitted BC bridge.
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