Reliability Analysis of Reinforced Concrete Frames
Publication: Journal of Structural Engineering
Volume 113, Issue 6
Abstract
In the case of reinforced concrete frames, full moment redistribution may not take place, and any critical regions may fail because of insufficient rotation capacity before a collapse mechanism is formed. Considering the limited rotation capacity of concrete sections, a method is developed to verify and analyze the identified dominant mechanisms that are impossible to form. A reliability model for the rotation failure prior to mechanism collapse is proposed, and the safety margin equation, in relation to and consistent with the mechanism, is generated on the basis of the partial utilization of moment redistribution at the failure stage. Rotation failure modes are combined with other possible mechanism modes, and the structural reliability is reassessed. The proposed method is illustrated with two examples. It is found that a check of plastic hinge rotations and remodeling of the failure modes improve the accuracy of predicting the system reliability of a reinforced concrete frame. However, the improvement is only marginal in the case of simple frames.
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References
1.
Ang, A. H. S., and Ma, H. F., “On the Reliability of Structural Systems,” Proceedings, Third International Conference on Structural Safety and Reliability, M. Moan and M. Shinozukha, Eds., Elsevier Publishing Co., Amsterdam, Netherlands, 1981, pp. 295–312.
2.
Baker, A. L. L. “Limit State Design of Reinforced Concrete,” Cement and Concrete Association, London, U.K., 1970.
3.
Baker, A. L. L., and Amarakone, A. M. N., “Inelastic Hyperstatic Frame Analysis,” Proceedings, International Symposium on Flexural Mechanics of Reinforced Concrete, ASCE, Miami, Fla., Nov., 1964, pp. 85–142.
4.
Chou, K. C., McIntosh, C., and Corotis, R. B., “Observations on Structural System Reliability and the Role of Modal Correlations,” Structural Safety, No. 1, 1983, pp. 189–198.
5.
Cornell, C. A., “Bounds on Reliability of Structural Systems,” Journal of the Structural Division, ASCE, Vol. 93, No. 1, Feb., 1967, pp. 171–200.
6.
Ditlevsen, O., “Narrow Reliability Bounds for Structural Systems,” Journal of Structural Mechanics, Vol. 1, No. 4, 1979, pp. 453–472.
7.
Ellingwood, B., Galambos, T. V., MacGregor, J. G., and Cornell, C. A., “Development of Probability Based Load Criterion for American National Standards A58,” Report No. SP 577, National Bureau of Standards, U.S. Dept. of Commerce, Washington, D.C., Jun., 1980, p. 111.
8.
“Indian Standard Code of Practice for Plain and Reinforced Concrete,” IS:456‐1978, Indian Standard Institution Publication, New Delhi, India, 1978.
9.
Ma, H. F., and Ang, A. H. S., “Reliability Analysis of Redundant Ductile Structural Systems,” Report No. UILU.ENG.81,2013, University of Illinois, Urbana, Ill., Aug., 1981.
10.
Melchers, R. E., “Reliability of Parallel Structural Systems,” Journal of Structural Engineering, ASCE, Vol. 109, No. 11, Nov., 1983, pp. 2651–2665.
11.
Moses, F., “Reliability of Structural Systems,” Journal of the Structural Division, ASCE, Vol. 100, No. 9, Sep., 1974, pp. 1813–1820.
12.
Moses, F., “System Reliability Developments in Structural Engineering,” Structural Safety, No. 1, 1982, pp. 3–13.
13.
Murotsu, Y., “Reliability Analysis of Frame Structure through Automatic Generation of Failure Modes,” Reliability Theory and its Application in Structural and Soil Mechanics, P. T. Christensen, Ed., NATO, ASI Series, 1983, pp. 525–540.
14.
Prabhu, U. P., and Ranganathan, R., “Stochastic Analysis of Live Loads in Office Buildings,” Proceedings of the National Conference on Quality and Reliability, Bombay, India, Dec., 1984, pp. 275–291.
15.
Ranganathan, R., and Deshpande, A. G., “Generation of Dominant Modes and Reliability Analysis of Frames,” Structural Safety, Elsevier Publishing Co., Amsterdam, Netherlands (in press).
16.
Ranganathan, R., and Joshi, P. C., “Statistical Analysis of Strength of Concrete and Steel and Dimensional Variations,” Report No. DS and T: 4(l)/83
17.
Shetty, N., and Rangariathan, R., “Development of Reliability Based Design Standards,” Proceedings of the National Conference on Quality and Reliability, Bombay, India, Dec., 1984, pp. 259–274.
18.
Stevenson, J., and Moses, F., “Reliability Analysis of Frame Structures,” Journal of the Structural Division, ASCE, Vol. 96, No. 11, Nov., 1970, pp. 2409–2427.
19.
Tang, L. K., and Melchers, R. E., “Reliability of Large Structural Systems,” Transactions, Institution of Civil Engineers, Australia, Vol. CE27, No. 1, Feb., 1985, pp. 136–142.
20.
Tichy, M., and Vorlicek, M., “Safety of Reinforced Concrete Framed Structures,” Proceedings, International Symposium on Flexural Mechanics of Reinforced Concrete, ASCE, Miami, Fla., Nov., 1964, pp. 53–84.
21.
Turkstra, C. J., and Madsen, H. O., “Load Combinations in Codified Structural Design,” Journal of the Structural Division, ASCE, Vol. 106, No. 12, Dec., 1980, pp. 2527–2543.
22.
Webster, F., “Probabilistic Analysis of a Simple Portal Structure,” Journal of the American Concrete Institute, Vol. 70, No. 9, Sep., 1973, pp. 649–651.
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Copyright © 1987 ASCE.
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Published online: Jun 1, 1987
Published in print: Jun 1987
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