TECHNICAL NOTES
May 1, 1986

Environmental Load Direction and Reliability Bounds

Publication: Journal of Structural Engineering
Volume 112, Issue 5

Abstract

A procedure is presented for estimating reliability bounds for the probability of failure of members sensitive to load directionality effects. The property of multivariate extreme value distributions that zero values of all pairwise correlations imply statistical idependence among the variates is first used to obtain rough estimates of failure probabilities. More refined estimates are then obtained by using expressions for lower and upper bounds for the probabilities, which entail the use of univariate and bivariate probability distributions. In the latter, information is used on the pairwise correlation of load data corresponding to the various directions. In well-behaved wind climates the assumption that data corresponding to any two octants are shown to be mutually uncorrelated results in the overestimation of failure probabilities by a fctor of about two or less.

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References

1.
Changery, M., Dumitriu‐Valcea E., and Simiu, E., Directional Extreme Wind Speed Data for the Design of Buildings and Other Structures, Building Science Series 160, National Bureau of Standards, Gaithersburg, Md., Mar., 1984.
2.
Directional Wave Spectra, Applications '81, Proceedings of Symposium Sponsored by ASCE's Coastal Engineering Research Council and Waterway, Port, Coastal, and Ocean Division, R. L. Wiegel, Chairman, Steering Committee, Berkeley, Calif., Sept. 14–16, 1981.
3.
Ditlevsen, O., “Narrow Reliability Bounds for Structural Systems,” Journal of Structural Mechanics, Vol. 7, 1979, pp. 453–472.
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Galambos, J., “Bonferroni Inequalities,” The Annals of Probability, Vol. 5, 1977, pp. 577–581.
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Galambos, J., The Asymptotic Theory of Extreme Order Statistics, John Wiley & Sons, New York, N.Y., 1978.
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Holthuijsen, L., The Directional Wave Energy Distribution of Wind Generated Waves as Inferred from Stereophotographic Observations of the Sea Surface, Technical Univ. Delft, Delft, The Netherlands, 1981.
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Marshall, A., and Olkin, I., “Domains of Attraction for Multivariate Extreme Value Distributions,” The Annals of Probability, Vol. 11, 1983, pp. 168–177.
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Ramachandran, K., “System Bounds: A Critical Study,” Civil Engineering Systems, Vol. 1, Mar., 1984, pp. 123–128.
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Sarpkaya, T., and Isaacson, M., Mechanics of Wave Forces on Structures, Von Nostrand Reinhold, New York, N.Y., 1981.
10.
Simiu, E., and Filliben, J. J., “Wind Direction Effects for Cladding and Structural Loads,” Engineering Structures, July, 1981, pp. 181–186.
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Simiu, E., et al., “Multivariate Distributions of Directional Wind Speeds,” Journal of Structural Engineering, ASCE, Vol. 111, No. 4, Apr., 1985, pp. 939–943.
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Walker, A., “On the Classical Bonferroni Inequalities and the Corresponding Galambos Inequalities,” Journal of Applied Probability, Vol. 18, 1981, pp. 759–763.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 5May 1986
Pages: 1199 - 1203

History

Published online: May 1, 1986
Published in print: May 1986

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Authors

Affiliations

Emil Simiu, M. ASCE
Research Struct. Engr., Center for Bldg. Tech., National Bureau of Standards, Gaithersburg, MD 20899
Stefan D. Leigh
Mathematician, Center for Applied Math., National Bureau of Standards, Gaithersburg, MD 20899
William A. Nolan
Cooperative Student, Center for Bldg. Tech., National Bureau of Standards, Gaithersburg MD 20899, and Dept. of Civ. Engrg., Johns Hopkins Univ., Baltimore, MD 21218

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