Reliability of Ductile Systems With Random Strengths
Publication: Journal of Structural Engineering
Volume 111, Issue 6
Abstract
A technique is proposed for determining the reliability of redundant ductile framed structures. A nonlinear structural analysis program and incremental load procedure are used to find the limit state function in load space for fixed structural properties. The failure probability of this deterministic structure is then computed by integrating the joint distribution function of loads over the failure region in load space. The procedure is extended to include randomness in the strength of the structure by introducing a random resistance variable unique to each load path. The statistics of this variable can be found by relating magnitudes of the load vector to successive component failure. The load space formulation of system reliability appears applicable to realistic structures of reasonable complexity.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Ang, A. H.‐S., and Ma, H.‐F., “On the Reliability Analysis of Framed Structures,” Proceedings of the Specialty Conference on Probabilistic Mechanics and Structural Reliability, Tucson, Ariz., Jan., 1979.
2.
Corotis, R. B., and Soltani, M., “Structural System Reliability: Limit States and Modal Consequences,” 4th International Conference on Structural Safety and Reliability, Kobe, japan, May 27‐29, 1985.
3.
Ditlevsen, O., “Narrow Reliability Bounds for Structural Systems,” Report No. 145, The Danish Center for Applied Mathematics and Mechanics, The Technical University of Denmark, Oct., 1978.
4.
Ellingwood, B. R., Galambos, T. V., MacGregor, J. G., Cornell, C. A., “Development of a Probability Based Load Criterion for American National Standard A58,” National Bureau of Standards Special Publication 577, June, 1980.
5.
Frangopol, D. M., “A Reliability‐Based Optimization Technique for Automatic Plastic Design,” Computer Methods in Applied Mechanics and Engineering, Vol. 44, No. 1, 1984, pp. 105–117.
6.
Frangopol, D. M., “Sensitivity Studies in Optimum Reliability‐Based Design of Plastic Structures,” Proceedings of the 25th AIAA, ASME, AHS, Structures, Structural Dynamics and Materials Conference, Vol. 1, Palm Springs, Calif., May, 1984, pp. 21–33.
7.
Galambos, T. V., “Proposed Criteria for Load and Resistance Factor Design of Steel Building Structures,” American Iron and Steel Institute, Bulletin No. 27, Jan., 1978.
8.
Garson, C. R., “Failure Mode Correlation in Weakest‐link Systems,” Journal of the Structural Division, ASCE, Vol. 106, No. ST8, Aug., 1980, pp. 1797–1810.
9.
Grigoriu, M., “Methods for Approximate Reliability Analysis,” Structural Safety, Vol. 1, 1982/1983, pp. 155–165.
10.
Grimmelt, M. J., and Schueller, G. I., Benchmark Study on Methods to Determine Collapse Failure Probabilities of Redundant Structures, Laboratorium fur Konstrukiven Ingenieurbau, Technische Universitat Munchen.
11.
Kam, T.‐Y., Corotis, R. B., and Rossow, E. C., “Reliability of Nonlinear Framed Structures,” Journal of Structural Engineering, ASCE, Vol. 109, No. 7, July, 1983, pp. 1585–1601.
12.
Kam, T. Y., Rossow, E. C., and Corotis, R. B., “Inelastic Tangential Stiffness for 2‐D Frames,” Journal of Structural Engineering, ASCE, Vol. 109, No. 11, Nov., 1983, pp. 2685–2697.
13.
Limit State Design Steel Manual, Canadian Institute of Steel Construction, 1st Ed., 1978.
14.
“Proposed Load and Resistance Factor Design Specification for Structural Steel Buildings,” Trial Document, American Institute of Steel Construction, Inc., Sept. 1, 1983, Chicago, Ill.
15.
Moses, F., “System Reliability Developments in Structural Engineering,” Structural Safety, Vol. 1, Elsevier Scientific Publishing Co., Amsterdam, The Netherlands, 1982, pp. 3–13.
16.
Moses, F., “Reliability of Structural Systems,” Journal of the Structural Division, ASCE, Vol. 100, No. ST9, Sept., 1974, pp. 1813–1820.
17.
Moses, F., and Kinser, D. E., “Analysis of Structural Reliability,” Journal of the Structural Division, ASCE, Vol. 93, ST5, Oct., 1967, pp. 147–164.
18.
Moses, F., and Rashedi, M. R., “The Application of System Reliability to Structural Safety,” Application of Statistics and Probability in Soil and Structural Engineering, 4th International Conference, Florence, Italy, June, 1983, pp. 573–584.
19.
Plastic Design in Steel, A Guide and Commentary, Joint Committee of the Welding Reserach Council and ASCE, 2nd Ed., published by ASCE, New York, N.Y., 1971.
20.
Stevenson, J., and Moses, F., “Reliability Analysis of Frame Structures,” Journal of the Structural Division, ASCE, Vol. 96, No. ST11, Nov., 1970, pp. 2409–2427.
Information & Authors
Information
Published In
Copyright
Copyright © 1985 ASCE.
History
Published online: Jun 1, 1985
Published in print: Jun 1985
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.