Technical Papers
Mar 4, 2014

Instantaneous Stiffness of Cracked Reinforced Concrete Including Steel-Concrete Interface Damage and Long-Term Effects

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Publication: Journal of Structural Engineering
Volume 140, Issue 6

Abstract

In reinforced concrete construction, deflection control is an important performance criterion for its serviceability and sustainability. In this paper, an experimental program aimed at modeling the effects of both short-term and sustained loading on the instantaneous stiffness of reinforced concrete flexural members is described. In the first part of the paper, experimental results are discussed showing that both steel-concrete interface damage (i.e., cover-controlled cracking) attributable to excessive live loading and time-dependent effects such as creep and shrinkage have a major influence on the instantaneous stiffness of beams. In the second part of the paper, a finite-element model that accounts for the influence of cover-controlled cracking on the instantaneous stiffness is proposed. Only the short-term response to load is modeled in this paper. The effect of cover-controlled cracking is taken into account by implementing a damage variable to reduce the bond at the steel-concrete interface as loading is increased or during a period of sustained loading and shrinkage. In addition, a criterion for the initiation of cover-control cracks based on a peak value of the steel stress at the crack location is also defined.

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Acknowledgments

This research was supported by the Australian Research Council’s Discovery Project funding scheme (Project No. DP110103028). The experimental work was carried in the Structures Laboratory of the School of Civil and Environmental Engineering at the University of New South Wales. The assistance of the laboratory staff is also acknowledged.

References

Bischoff, P. H. (2007). “Deflection calculation of FRP reinforced concrete beams based on modifications to the existing Branson equation.” J. Compos. Constr., 4–14.
Castel, A., and François, R. (2011). “Modeling of steel and concrete strains between primary cracks for the prediction of cover controlled cracking in RC-beams.” Eng. Struct., 33(12), 3668–3675.
Castel, A., Vidal, T., and François, R. (2006). “Effective tension active cross-section of reinforced concrete beams after cracking.” Mater. Struct., 39(1), 115–126.
Castel, A., Vidal, T., and François, R. (2012). “Finite-element modeling to calculate the overall stiffness of cracked reinforced concrete beams.” J. Struct. Eng., 889–898.
CEB-FIP. (1999). Updated knowledge of the CEB-FIP model code 1990, structural concrete, Vol. 1.
François, R., Castel, A., and Vidal, T. (2006). “A finite element for corroded reinforced concrete.” RILEM Mater. Struct., 39(5), 571–584.
Gilbert, R. I. (2008). “Control of flexural cracking in reinforced concrete.” ACI Struct. J., 105(3), 301–307.
Wu, H. Q., and Gilbert, R. I. (2009). “Modeling short-term tension stiffening in reinforced concrete prisms using a continuum-based finite element model.” Eng. Struct., 31(10), 2380–2391.
Zhang, R., Castel, A., and François, R. (2009a). “Serviceability limit state criteria based on steel-concrete bond loss for corroded reinforced concrete in chloride environment.” Mater. Struct., 42(10), 1407–1421.
Zhang, R., Castel, A., and François, R. (2009b). “The corrosion pattern of reinforcement and its influence on serviceability of reinforced concrete members in chloride environment.” Cement Concr. Res., 39, 1077–1086.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 140Issue 6June 2014

History

Received: Jan 16, 2013
Accepted: Sep 18, 2013
Published online: Mar 4, 2014
Published in print: Jun 1, 2014
Discussion open until: Aug 4, 2014

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Authors

Affiliations

Arnaud Castel [email protected]
Associate Professor, Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, Univ. of New South Wales, Sydney 2052, Australia (corresponding author). E-mail: [email protected]
Raymond Ian Gilbert
Emeritus Professor, Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, Univ. of New South Wales, Sydney 2052, Australia.
Gianluca Ranzi
Centre for Advance Structural Engineering, Univ. of Sydney, Sydney 2008, Australia.

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