Abstract
Load and resistance factor design (LRFD) is widely used in building codes for reliability design. In the calculation of load and resistance factors, the third-moment method (3M) has been proposed to overcome the shortcomings (e.g., inevitable iterative computation, requirement of probability density functions (PDFs) of random variables) of other methods. With the existing 3M method, the iterative is simplified to one computation, and the PDFs of random variables are not required. In this paper, the computation of load and resistance factors is further simplified to no iterations. Furthermore, the accuracy of the proposed method is proved to be higher than the existing 3M methods. Additionally, with the proposed method, the limitations regarding applicable range in the existing 3M methods are avoided. With several examples, the comparison of the existing 3M method, the ASCE method, the Mori method, and the proposed method is given. The results show that the proposed method is accurate, simple, safe, and saves material.
Highlights
Load and resistance factor design (LRFD), as a rational probabilistic approach based on reliability to manage uncertainties in the building process, is widely employed in structural engineering [1,2,3,4,5,6,7]
Reliability calculated based on first order reliability method (FORM) is inefficient
Compared with the existing 3M method [19], in which iterative-based computation is still inevitable, this paper provides a simplified method for the computation of target mean resistance without iteration, by improving the accuracy of computing the mean target resistance
Summary
Load and resistance factor design (LRFD), as a rational probabilistic approach based on reliability to manage uncertainties in the building process, is widely employed in structural engineering [1,2,3,4,5,6,7]. In the past three decades, several methods for determining load and resistance factors have been developed, of which the first order reliability method (FORM) [8] was frequently used to account for stochastic fracture problems [9,10,11]. FORM is suggested to observe reliability accurately and generally. The design point must be firstly determined, and derivative-based iterations have to be used. Reliability calculated based on FORM is inefficient
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