TECHNICAL NOTES
Jul 1, 1994

Long‐Term Deflection of RC Beams

Publication: Journal of Structural Engineering
Volume 120, Issue 7

Abstract

Long‐term deflection of statically determinate reinforced concrete beams under service loads is analytically studied. The BP‐2 creep and shrinkage model is adopted and extended to accommodate concrete tensile behavior by assuming a tensile stress‐strain relation. The creep rate is related to the stress in the same manner for both tension and compression. Beam deflection is determined using curvatures computed by assuming that the total strain varies linearly across depth (Bernoulli‐Navier hypothesis). Available test results for 37 beams are compared with deflection predictions by this numerical scheme and by applications of the same model after simplification using effective modulus methods. Further comparisons are made with the 1983 ACI Building Code method and a recent method proposed by Bažant and Oh. The direct implementation of the extended BP‐2 model is observed to be the most accurate. The results demonstrate that a realistic model of creep strains can lead to good estimates of deflection. Furthermore, the results indicate that the contribution of shrinkage to overall deformation can be significant.

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References

1.
ACI Committee 318. (1983). “Building code requirements for reinforced concrete.” Report No. ACI 318‐83, American Concrete Institution, Detroit, Mich.
2.
Bakoos, S. L., Gilbert, R. I., Faulkes, K. A., and Pulmano, V. A. (1982). “Long‐term deflections of reinforced concrete beams.” Mag. Concr. Res., 34(121), 203–212.
3.
Bažant, Z. P. (1972). “Prediction of concrete creep effects using age‐adjusted effective modulus method.” ACI J., 69, 212–217.
4.
Bažant, Z. P., ed. (1988). Mathematical modeling of creep and shrinkage of concrete. John Wiley, New York, N.Y.
5.
Bažant, Z. P., and Oh, B. H. (1984). “Deformation of progressively cracking reinforced concrete beams.” ACI J., 81, 268–278.
6.
Bažant, Z. P., and Panula, L. (1980). “Creep and shrinkage characterization for analyzing prestressed concrete structures.” Prestressed Concrete Inst., 25(3), 86–122.
7.
Corley, W. G., and Sozen, M. A. (1966). “Time‐dependent deflections of reinforced concrete beams.” ACI J., 63(3), 373–386.
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Hollington, M. R. (1970). “A series of long‐term tests to investigate the deflection of a representative precast concrete floor component.” Tech. Rep. No. TRA 442, Cement and Concrete Association, London, England.
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Neville, A. M. (1981). Properties of concrete, Pitman Publishing Co., London, England.
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Trost, H. (1967). “Auswirkungen des Superpositionsprinzips auf Kriech‐und Relaxation‐sprobleme bei Beton und Spannbeton.” Beton‐und Stahlbetonbau, 62(10),230–238.
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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 120Issue 7July 1994
Pages: 2220 - 2226

History

Received: Jun 1, 1993
Published online: Jul 1, 1994
Published in print: Jul 1994

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Authors

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W. A. M. Alwjs
Sr. Lect., Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 0511
A. Olorunniwo
Grad. Student, Dept. of Civ. Engrg., Univ. of Texas, Austin, TX 78712‐1076
K. K. Ang, Member, ASCE
Sr. Lect., Dept. of Civ. Engrg., Nat. Univ. of Singapore, 10 Kent Ridge Crescent, Singapore 0511

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