TECHNICAL PAPERS
May 1, 1989

Predicting Deflections of Reinforced Concrete Beams Analytically

Publication: Journal of Structural Engineering
Volume 115, Issue 5

Abstract

A rational method of analysis is proposed for the calculation of creep deflections of reinforced concrete beams under sustained service loads. The method introduces the use of a fictitious modulus relating, for a given section under bending, the initial stress in concrete with the final strain after a period of sustained load. The requirements of strain compatibility and equilibrium of a section are used, in conjunction, to determine the position of neutral axis and strain and stress distributions after creep. The long‐term flexural rigidity of the member, (EI), is determined from a knowledge of a new neutral axis and a new modular ratio and is used to calculate the final deflections. The approach for calculating long‐term deflections is similar to the current American Concrete Institute (ACI) procedure for calculating short‐term deflections. The accuracy of the analysis is verified by comparison with several experimental measurements of beam deflections. The result is good correlation between the theoretical values and measured values.

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References

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Bakoss, S. L., et al. (1982). “Long‐term deflections of reinforced concrete beams.” Magazine of Concrete Research. 34(121), London, England, 203–212.
2.
Branson, D. E. (1963). “Instantaneous and time‐dependent deflections of simple and continuous reinforced concrete beams.” HPR Publication 7, Part 1, Alabama Highway Dept., Bureau of Public Roads, Ala.
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“Building code requirements for reinforced concrete.” (1983). ACI 318M‐83, Amer. Concrete Inst., Detroit, Mich.
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Commentary on building code requirements for reinforced concrete. (1983). ACI 318M‐83, Amer. Concrete Inst., Detroit, Mich.
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Corley, W. G., and Sozen, M. A. (1966). “Time‐dependent deflections of reinforced concrete beams.” J. Amer. Conc. Inst., 63(3), 373–386.
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Parrott, L. J. (1979). “Simplified methods of predicting the deformation of structural concrete.” Development Report No. 3, Cement and Concrete Association, Wexham Springs, England.
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“Prediction of creep, shrinkage and temperature effects in concrete structures.” (1971). SP27‐3, Designing for effects of creep, shrinkage and temperature in concrete structures, Amer. Concrete Inst., Detroit, Mich., 51–93.
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Pretorius, P. C. (1985). “Deflections of reinforced concrete members: A simple approach.” J. Amer. Conc. Inst., 82(6), 805–812.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 115Issue 5May 1989
Pages: 1158 - 1168

History

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

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Authors

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Raed M. Samra
Asst. Prof. Civ. Engrg., Faculty of Engrg. and Tech., Univ. of Jordan, Amman, Jordan

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