Reliability Analysis of Creep and Shrinkage Effects
Publication: Journal of Structural Engineering
Volume 118, Issue 9
Abstract
This paper deals with the analysis of uncertain creep and shrinkage effects, and in particular the computation of the probability of serviceability failure for a reinforced concrete structure subjected to stochastic loadings. A sustained load of uncertain magnitude, a stationary Gaussian loading process, and a Poisson loading process are considered. To model the creep and shrinkage phenomena. Bažant‐Panula model is employed. The resulting time‐variant reliability problem is an upcrossing problem in stochastic process theory that is, in general, difficult or computationally demanding to solve. The problem can be simplified to allow prediction at end of a given time period, using the so‐called time‐independent reliability theory (e.g., the first‐order second‐moment method). However, this can be achieved only once the statistics of the load effects have been obtained by Monte Carlo simulation, but is considerably less demanding than a complex Monte Carlo solution. A numerical example is given to illustrate the method, and the results are compared with simulation results.
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References
1.
Bažant, Z. P., and Liu, K. L., (1985). “Random creep and shrinkage in structures: Sampling.” J. Struct. Engrg., ASCE, 111(5), 1113–1133.
2.
Bažant, Z. P., and Panula, L. (1978). “Practical prediction of time‐dependent deformations of concrete.” Mater, and Struct., Res. and Testing, 11(65), 307–329.
3.
Ditlevsen, O., Bjerager, P., Olsen, R., and Hasofer, A. M. (1988). “Directional simulation in Gaussian processes.” Prob. Engrg. Mech., 3(4), 207–217.
4.
Gilbert, R. I. (1988). Time effects in concrete structures. Elsevier, Amsterdam, the Netherlands.
5.
Kameda, H., and Koike, T. (1975). “Reliability theory of deteriorating structures.” J. Struct. Div., ASCE, 101(1), 295–310.
6.
Madsen, H. O., and Bažant, Z. P. (1983). “Uncertainty analysis of creep and shrinkage effects in concrete structures.” J. Am. Concr. Inst., 80(2), 116–127.
7.
Madsen, H. O., and Zadeh, M. (1987). “Reliability of plates under combined loading.” Proc. Marine Struct. Reliability Symp., Society of Naval Architects and Marine Engineers, 185–191.
8.
Melchers, R. E. (1987). Structural reliability: Analysis and prediction. John Wiley and Sons, Chichester, England.
9.
Melchers, R. E. (1989). “Load space formulation for structural reliability calculation.” Research Report No. 044.11.1989, Dept. of Civ. Engrg., and Surveying, Univ. of Newcastle, New South Wales, Australia.
10.
Reid, S. G., and Turkstra, C. (1980). “Serviceability limit states—Probabilistic description.” Report No. ST80‐1, McGill Univ., Montreal, Quebec, Canada.
11.
Samra, R. M. (1989). “Predicting deflection of reinforced concrete beams analytically.” J. Struct. Engrg., ASCE, 115(5), 1158–1168.
12.
Warner, R. F. (1973). “Simplified method of creep and shrinkage effects in reinforced concrete flexural members.” Civ. Engrg. Trans., Institution of Engineers Australia, CE15(1), 69–73.
13.
Wen, Y. K., and Chen, Y. C. (1989). “System reliability under time varying loads: I.” J. Engrg. Mech., ASCE, 115(4), 808–823.
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Copyright © 1992 ASCE.
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Published online: Sep 1, 1992
Published in print: Sep 1992
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