TECHNICAL PAPERS
Sep 1, 1989

Markov Chain Model for Cracking Behavior of Reinforced Concrete Beams

Publication: Journal of Structural Engineering
Volume 115, Issue 9

Abstract

In this paper, nonhomogeneous Markov chains are proposed for modeling the cracking behavior of reinforced concrete beams subjected to monotonically increasing loads. The model facilitates prediction of the maximum crackwidth at a given load given the crackwidth at a lower load level, and thus leads to a better understanding of the cracking phenomenon. To illustrate the methodology developed, the results of three reinforced concrete beams tested in the laboratory are analyzed and presented.

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References

1.
Ang, A. H., and Tang, W. H. (1975). Probability concepts in engineering planning and design. Vol. I. John Wiley and Sons, New York, N.Y.
2.
Ang, A. H., and Tang, W. H. (1984). Probability concepts in engineering planning and design. Vol. II, John Wiley and Sons, New York, N.Y.
3.
“Building code requirements for reinforced concrete.” (1983). ACE Standard 318‐83, Amer. Concrete Inst., Detroit, Mich.
4.
The code of practice for the structural use of concrete. CP110. (1972). Part 1, British Standards Institution. London, England.
5.
Desayi, P., and Balaji Rao, K. (1987). “Probabilistic analysis of the cracking of re beams.” Mat. Struct., 20, 408–417.
6.
Desayi, P., and Ganesan, N. (1985). “An investigation on spacing of cracks and maximum crackwidth in reinforced concrete flexural members.” Mat. Struct., 18(104), 123–133.
7.
Ellingwood, B. (1978). “Reliability basis of load and resistance factors for reinforced concrete design.” NBS Building Science Series 110, Washington, D.C.
8.
Ellingwood, B., and Galambos, T. V. (1981). “General specifications for structural design loads.” Proc., Symp. on Probabilistic Methods in Struct. Engrg., 27–42.
9.
Freudenthal, A. M. (1961). “Safety, reliability and structural design.” Proc., ASCE, J. Struct. Div., 87(3), 1–16.
10.
Israel, B. M., Ellingwood, B., and Corotis, R. B. (1987). “Reliability‐based code formulations for reinforced concrete buildings.” J. Struct. Engrg., ASCE, 113, 2235–2252.
11.
MacGregor, J. G. (1981). “Load and resistance factors for concrete design.” Proc., Symp. on Probabilistic Methods in Struct. Engrg., 14–26.
12.
Marius Iosifescu. (1980). Finite Markov processes and their applications. John Wiley and Sons, Inc., New York, N.Y.
13.
Meyers, B. L., and Benjamin, J. R. (1972). “Variability of deflections of simply supported reinforced concrete beams.” ACI J., 69(1), 29–35.
14.
Mirza, S. A., and MacGregor, J. G. (1979). “Statistical study of shear strength of reinforced concrete slender members.” Proc., American Concrete Inst., 76(11), 1159–1178.
15.
Mirza, S. A., and MacGregor, J. G. (1982). “Probabilistic study of strength of reini forced concrete members.” Can. J. Civ. Engrg., 9, 431–448.
16.
Ramsay, R. M., Mirza, S. A., and MacGregor, J. G. (1979). “Monte Carlo study of short time deflection of reinforced concrete beams.” Proc., American Concrete Inst., 76(8), 897–918.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 9September 1989
Pages: 2129 - 2144

History

Published online: Sep 1, 1989
Published in print: Sep 1989

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Authors

Affiliations

Prakash Desayi
Prof., Dept. Civ. Engrg., Indian Inst. Sci., Bangalore 560 012, India
K. Balaji Rao
Res. Scholar, Dept. Civ. Engrg., Indian Inst. Sci., Bangalore 560 012, India

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