TECHNICAL PAPERS
Apr 1, 1988

Failure‐Conditioned Reliability Index

Publication: Journal of Structural Engineering
Volume 114, Issue 4

Abstract

A formulation of a failure‐conditioned reliability index of correlated multivariate normal distribution is developed to estimate simultaneous failure probability and, finally, system reliability. The expression is based on the evaluation of failure‐conditioned mean and standard deviation. It is simple in expression and effective for all ranges of correlation coefficients. Although the equation is just an approximate one, it appears that the errors are within the allowable limit, as shown in the examples.

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References

1.
Ang, A. H.‐S., and Tang, W. H., eds. (1984). Probability concepts in engineering planning and design. 1st Ed., 2, John Wiley and Sons, Inc., New York, N.Y., 504–517.
2.
Chou, K. C., and Corotis, R. B. (1984). “Conditional Gaussian probability density.” J. Engrg. Mech., ASCE, 110(1), 115–119.
3.
Ditlevsen, O. (1979). “Narrow reliability bounds for structural systems.” J. Struct. Mech., 7(4), 453–472.
4.
Ma, H.‐F., and Ang, A. H.‐S. (1981). “Reliability analysis of redundant ductile structural systems.” Struct. Res. Series No. 494, Univ. of Illinois at Urbana, Ill.
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Thoft‐Christensen, P., and Murotsu, Y., eds. (1986). Application of structural systems reliability theory. 1st Ed., Springer‐Verlag, Berlin, Heidelberg, Germany, 59–65.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 4April 1988
Pages: 942 - 952

History

Published online: Apr 1, 1988
Published in print: Apr 1988

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Authors

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Sadaichi Terada
Prof., Dept. of Arch. Engrg., Tokyo Metropolitan Univ., Tokyo 158, Japan
Toshie Takahashi
Asst., Dept. of Arch. Engrg., Tokyo Metropolitan Univ., Tokyo 158, Japan

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