Abstract
The reliability-based load and resistance factors design (LRFD) has been widely used in the structural design codes. In almost all of the current reliability methods for the determination of the load and resistance factors, the basic random variables are assumed to have known probability distributions. However, in reality, the probability distributions of some of the basic random variables are often unknown due to the lack of statistical data. In this paper, the high-order moment methods for LRFD including random variables with unknown probability distributions are proposed. From the investigation of the present paper, it can be concluded that: 1) The load and resistance factors can be determined even when the probability distributions of the basic random variables are unknown; 2) The present method is convenient and more effective in estimating the load and resistance factors in practical engineering since it needs neither the iterative computation of derivatives nor any design points; 3) In the applicable range of the high-order moment method, although the load and resistance factors obtained by the proposed method may be different from those obtained by first order reliability method (FORM), the target mean resistances obtained by both methods are essentially the same.
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Galambos T V, Ellingwood B, MacGregor G, Cornell C A. Probability based load criteria: Assessment of current design practice. Journal of the Structural Division, 1982, 108(5): 959–977
Ellingwood B, MacGregor G, Galambos T V, Cornell C A. Probability based load criteria: Load factor and load combinations. Journal of the Structural Division, 1982, 108(5): 978–997
Ang A H S, Tang W H. Probability Concepts in Engineering Planning and Design, Vol II: Decision, Risk, and Reliability. New York: Wiley & Sons, 1984
Hasofer A M, Lind N C. Exact and invariant second moment code format. Journal of the Engineering Mechanics Division, 1974, 100(1): 111–121
Rackwitz R. Practical probabilistic approach to design. First order reliability concepts for design codes. Bull. d’Information, No.1 112, Comite European du Beton, Munich, Germany, 1976
Shinozuka M. Basic analysis of structural safety. Journal of the Structural Division, 1983, 109(3): 721–740
Ugata T. Reliability analysis considering skewness of distribution-Simple evaluation of load and resistance factors. Journal of Structural and Construction Engineering, 2000, 529: 43–50 (in Japanese)
Mori Y. Practical method for load and resistance factors for use in limit state design. Journal of Structural and Construction Engineering, AIJ, 2002, 559: 39–46 (in Japanese)
Mori Y, Maruyama Y. Simplified method for load and resistance factors and accuracy of sensitivity factors. Journal of Structural and Construction Engineering, AIJ, 2005, 589: 67–72 (in Japanese)
Zhao Y G, Ono T. Third-moment standardization for structural reliability analysis. Journal of Structural Engineering, 2000, 126(6): 724–731
Zhao Y G, Ono T, Idota H, Hirano T. A three-parameter distribution used for structural reliability evaluation. Journal of Structural and Construction Engineering, AIJ, 2001, 546: 31–38
Zhao Y G, Lu Z H, Ono T. A simple third-moment method for structural reliability. Journal of Asian Architecture and Building Engineering, 2006, 5(1): 129–136
Fleishman A L. A method for simulating non-normal distributions. Psychometrika, 1978, 43(4): 521–532
Zhao Y G, Lu Z H. Fourth-moment standardization for structural reliability assessment. Journal of Structural Engineering, 2007, 133(7): 916–924
Zhao Y G, Lu Z H. Applicable range of the fourth-moment method for structural reliability. Journal of Asian Architecture and Building Engineering, 2007, 6(1): 151–158
Der Kiureghian A, Dakessian T. Multiple design points in first- and second-order reliability. Structural Safety, 1998, 20(1): 37–49
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Lu, ZH., Zhao, YG. & Yu, ZW. High-order moment methods for LRFD including random variables with unknown probability distributions. Front. Struct. Civ. Eng. 7, 288–295 (2013). https://doi.org/10.1007/s11709-013-0210-1
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DOI: https://doi.org/10.1007/s11709-013-0210-1