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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front Arch Civil Eng Chin    2011, Vol. 5 Issue (3) : 315-322    https://doi.org/10.1007/s11709-011-0117-7
RESEARCH ARTICLE
Estimation of load and resistance factors using the third-moment method based on the 3P-lognormal distribution
Yan-Gang ZHAO1, Zhao-Hui LU2()
1. Department of Architecture, Kanagawa University, Yokohama 221-8686, Japan; 2. School of Civil Engineering, Central South University, Changsha 410075, China
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Abstract

Load and resistance factors are generally obtained using the first order reliability method (FORM) in which the design point should be determined and derivative-based iterations used. In this article, the third-moment reliability index, based on the three-parameter lognormal (3P-lognormal) distribution, is investigated. A simple method based on the third-moment method for estimating load and resistance factors is then proposed, and a simple formula for the target mean resistance is also presented to avoid iterative computations. Unlike the currently used method, the proposed method can be used to determine load and resistance factors, even when the probability density functions (PDFs) of the basic random variables are not available. Moreover, the proposed method does not require the iterative computation of derivatives or any design points. Thus, the method provides a more convenient and effective way to estimate load and resistance factors in practical engineering applications. Numerical examples are presented to demonstrate the advantages of the proposed third moment method for determining load and resistance factors.

Keywords load and resistance factors      third-moment method      three-parameter lognormal (3P-lognormal) distribution      target mean resistance      simple formula     
Corresponding Author(s): LU Zhao-Hui,Email:luzhaohui@csu.edu.cn   
Issue Date: 05 September 2011
 Cite this article:   
Yan-Gang ZHAO,Zhao-Hui LU. Estimation of load and resistance factors using the third-moment method based on the 3P-lognormal distribution[J]. Front Arch Civil Eng Chin, 2011, 5(3): 315-322.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-011-0117-7
https://academic.hep.com.cn/fsce/EN/Y2011/V5/I3/315
Fig.1  PDFs of the standard 3P-lognormal distribution with varying . (a)<0; (b)>0
Fig.2  Relationship between and
Fig.3  The target second moment reliability index
Fig.4  Figure for example 1. (a) Load and resistance factors; (b) target mean resistances
Fig.5  Figure for example 2. (a) Load and resistance factors; (b) target mean resistances
Fig.6  Figure for example 3. (a) Load and resistance factors; (b) target mean resistances
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[1] Zhao-Hui LU, Yan-Gang ZHAO, Zhi-Wu YU. High-order moment methods for LRFD including random variables with unknown probability distributions[J]. Front Struc Civil Eng, 2013, 7(3): 288-295.
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