TECHNICAL PAPERS
Sep 1, 1986

Reliability of Nonlinear Brittle Structures

Publication: Journal of Structural Engineering
Volume 112, Issue 9

Abstract

A method based on the combination of the imposed deformation approach and the stable configuration approach of structural system reliability analysis is developed for evaluating the reliability of structures with elements that behave in a nonlinear fashion, as well as fracture, or fail in a brittle manner, at some deformation. The basis of the stable configuration approach is examining ways in which a structure may carry an applied load and the basis of the imposed deformation approach is examining the structure under specified deformations. The method is found to generally give conservative estimates of the probability of failure. The proposed method is applied to a practical problem that arises when considering progressive collapse in precast large panel concrete structures. In particular, the probability a precast concrete slab system will not remain suspended if a supporting wall fails is determined to be 0.36.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bennett, R. M., “Reliability Analysis of Frame Structures with Brittle Components,” Structural Safety, Vol. 2, No. 4, June, 1985, pp. 281–290.
2.
Bennett, R. M., and Ang, A. H.‐S., “General Structural System Reliability Analysis,” Recent Advances in Engineering Mechanics and Their Impact on Civil Engineering Practice, ASCE, 1983, pp. 839–842.
3.
Bennett, R. M., and Ang, A. H.‐S., Investigation of Methods for Structural System Reliability, Structural Research Series No. 510, Univ. of Illinois at Urbana‐Champaign, Ill., Sept., 1983.
4.
Corotis, R. B., and Jaria, V., “Stochastic Considerations for Office Floor Loads,” Probabilistic Mechanics and Structural Reliability, ASCE, 1979, pp. 65–69.
5.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A., Development of a Probability Based Load Criterion for American National Standard A58, National Bureau of Standards Special Publication 577, June, 1980.
6.
Hanson, N. W., and Burnett, E. F. P., “Wall Cantilever and Slab Suspension Tests,” Supplemental Report A, Design and Construction of Large Panel Concrete Structures, Portland Cement Association, Skokie, Ill., Nov., 1978.
7.
Hohenbichler, M., and Rackwitz, R., “Reliability of Parallel Systems Under Imposed Uniform Strain,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. EM3, June, 1983, pp. 896–907.
8.
Lin, T. S., and Corotis, R. B., “Reliability of Ductile Systems with Random Strengths,” Journal of Structural Engineering, ASCE, Vol. 111, No. ST6, June, 1985, pp. 1306–1325.
9.
Mirza, S. A., Kikuchi, D. K., and MacGregor, J. G., “Flexural Strength Reduction Factor for Bonded Prestressed Concrete Beams,” ACI Journal, Vol. 77, No. 4, July–Aug., 1980, pp. 237–246.
10.
Muskivitch, J. C., “Investigation of Progressive Collapse in Precast Concrete Large Panel Buildings,” thesis presented to Drexel University, in Philadelphia, Pa., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Rackwitz, R., and Peintinger, B., “Reliability of General Structural Systems Under Combined Loading,” Studies on the Reliability of Redundant Structural Systems, Technical Univ. of Munich, July, 1981, pp. 83–132.
12.
Regan, P. E., “Catenary Action in Damaged Concrete Structures,” Industrialization in Concrete Building Construction, Publication SP‐48, American Concrete Institute, 1975.
13.
Schultz, D. M., “Design Methodology,” Design and Construction of Large‐Panel Concrete Structures, Report 6, Portland Cement Association, Skokie, Ill., Mar., 1979.
14.
Schultz, D. M., Burnett, E. F. P., and Fintel, M., “A Design Approach to Structural Integrity,” Design and Construction of Large‐Panel Concrete Structures, Report 4, Portland Cement Association, Skokie, Ill., Oct., 1977.
15.
Turkstra, C. J., “Theory of Structural Design Decision, Univ. of Waterloo, Waterloo, Ontario, Canada, 1970.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 112Issue 9September 1986
Pages: 2027 - 2040

History

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

Permissions

Request permissions for this article.

Authors

Affiliations

Richard M. Bennett, A. M. ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Tennessee, Knoxville, TN 37996‐2010

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.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share