TECHNICAL PAPERS
Sep 1, 1992

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.
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Gilbert, R. I. (1988). Time effects in concrete structures. Elsevier, Amsterdam, the Netherlands.
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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.
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Melchers, R. E. (1987). Structural reliability: Analysis and prediction. John Wiley and Sons, Chichester, England.
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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.
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Samra, R. M. (1989). “Predicting deflection of reinforced concrete beams analytically.” J. Struct. Engrg., ASCE, 115(5), 1158–1168.
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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.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 118Issue 9September 1992
Pages: 2323 - 2337

History

Published online: Sep 1, 1992
Published in print: Sep 1992

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Authors

Affiliations

C. Q. Li
Res. Student, Dept. of Civ. Engrg. and Surveying, Univ. of Newcastle, University Drive, Callaghan, Newcastle, New South Wales 2308, Australia
R. E. Melchers
Prof. of Civ. Engrg., Dept. of Civ. Engrg. and Surveying, Univ. of Newcastle, Newcastle, New South Wales, Australia

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