Prediction of Flexural Deformation of a Corroded RC Beam with a Polynomial Tension-Stiffening Model
Publication: Journal of Structural Engineering
Volume 139, Issue 6
Abstract
A new model is proposed by an assumption of quartic polynomial function to simulate the relative slip of steel bar and surrounding concrete in RC tensile member. In the new model, the postcracking behavior with a tension-stiffening effect is considered. Through the extension of the new model, the relative slip of the perfectly bonded interface of RC bending member can also be determined, based on which an interpolating function can be introduced to study the relative slips under different bending moments for corroded RC bending members. Finally, two experimental results of corroded RC beams under four-point bending are used to verify the new models.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors gratefully acknowledge the support provided by the National Key Basic Research and Development Program (973 Program) No. 2002CB412709.
References
Abdalla, H. A. (2002). “Evaluation of deflection in concrete members reinforced with fiber reinforced polymer (FRP) bars.” Compos. Struct., 56(1), 63–71.
Aiello, M. A., and Ombres, L. (2000). “Load-deflection analysis of FRP reinforced concrete flexural members.” J. Compos. Constr., 4(4), 164–171.
Amleh, L. (2000). “Bond deterioration of reinforcing steel in concrete due to corrosion.” Ph.D thesis, Dept. of Civil Engineering and Applied Mechanics. McGill Univ., Montreal.
American Concrete Institute (ACI). (1983). “Building code requirements for reinforced concrete.” ACI 318-83, Detroit.
Bažant, Z. P., and Oh, B. H. (1983). “Spacing of cracks in reinforced concrete.” J. Struct. Eng., 109(9), 2067–2085.
Bažant, Z. P., and Oh, B. H. (1984). “Deformation of progressively cracking reinforced concrete beams.” ACI J., 81(3), 268–278.
Beeby, A. W., and Scott, R. H. (2005). “Cracking and deformation of axially reinforced members subjected to pure tension.” Mag. Concr. Res., 57(10), 611–621.
Bhargava, K., Ghosh, A. K., Mori, Y., and Ramanujam, S. (2006). “Model for cover cracking due to rebar corrosion in RC structures.” Eng. Struct., 28(8), 1093–1109.
Borosnyoi, A., and Balazs, G. L. (2005). “Models for flexural cracking in concrete: The state of the art.” Struct. Concr., 6(2), 53–62.
Branson, D. E., and Trost, H. (1982). “Unified procedures for predicting the deflection and centroidal axis location of partially cracked nonprestressed and prestressed concrete members.” ACI J. Proc., 79(2), 119–130.
China Building Industry Press. (2002). “Code for design of concrete structures.” GB 50010, Beijing (in Chinese).
Collins, M. P., and Mitchell, D. (1987). Prestressed concrete basics, Canadian Prestressed Concrete Institute, Ottawa.
Comité Europeen du Béton (CEB). (1970). International recommendations for the design and construction of concrete structures, Comité Europeen du Béton, Féderation Internationale de la Precontrainte, Paris.
Comité Euro-Internationale du Béton (CEB). (1993). CEB-FIP model code 1990-design code, Telford, London.
El Maaddawy, T., Soudki, K., and Topper, T. (2005). “Analytical model to predict nonlinear flexural behavior of corroded reinforced concrete beams.” ACI Struct. J., 102(4), 550–559.
El-Tawil, S., Ogunc, C., Okeil, A., and Shahawy, M. (2001). “Static and fatigue analysis of RC beams strengthened with CFRP laminates.” J. Compos. Constr., 5(4), 258–267.
Faza, S. S., and GangaRao, H. V. S. (1992). “Pre- and post-cracking deflection behavior of concrete beams reinforced with fiber-reinforced plastic steel bars.” Proc., 1st Int. Conf. on Advanced Composite Materials in Bridges and Structures, Canadian Society for Civil Engineering, Neale & Labossiere, Montreal, 151–160.
Jiang, D. H., Shah, S. P., and Andonian, A. T. (1984). “Study of the transfer of tensile forces by bond.” ACI J. Proc., 81(3), 251–259.
Kim, D. J., Kim, W., and White, R. N. (1998). “Prediction of reinforcement tension produced by arch action in RC beams.” J. Struct. Eng., 124(6), 611–622.
Kim, W., and White, R. N. (1991). “Initiation of shear cracking in reinforced concrete beams with no web reinforcement.” ACI Struct. J., 88(3), 301–314.
Kwak, H. G., and Song, J. Y. (2002). “Cracking analysis of RC members using polynomial strain distribution function.” Eng. Struct., 24(4), 455–468.
Lundgren, K. (2002). “Modelling the effect of corrosion on bond in reinforced concrete.” Mag. Concr. Res., 54(3), 165–173.
Okada, K., Kobayashi, K., and Miyagawa, T. (1988). “Influence of longitudinal cracking due to reinforcement corrosion on characteristics of reinforced concrete members.” ACI Struct. J., 85(2), 134–140.
Park, R., and Paulay, T. (1975). Reinforced concrete structures, Wiley, New York.
Somayaji, S., and Shah, S. P. (1981). “Bond stress versus slip relationship and cracking response of tension members.” ACI J. Proc., 78(3), 217–225.
Tastani, S., and Pantazopoulou, S. J. (2005). “Recovery of seismic resistance in corrosion-damaged reinforced concrete through FRP jacketing.” J. Mat. Prod. Tech., 23(3/4), 389–415.
Torres-Acosta, A. A., Fabela-Gallegos, M. J., Muñoz-Noval, A., Vázquez-Vega, D., Hernandez-Jimenez, J. R., and Martínez-Madrid, M. (2004). “Influence of corrosion on the structural stiffness of reinforced concrete beams.” Corro. Eng. Sect., 60(9), 862–872.
Uomoto, T., and Misra, S. (1988). “Behavior of concrete beams and columns in marine environment when corrosion of reinforcing bars takes place.” SP-109, ACI, Detroit, 127–146.
Wang, X. H., and Liu, X. L. (2004). “Modeling bond strength of corroded reinforcement without stirrups.” Cement Concr. Res., 34(8), 1331–1339.
Wang, X. H., and Liu, X. L. (2008). “Modeling the flexural carrying capacity of corroded RC beams.” J. Shanghai Jiao Tong Univ. (Sci.), 13(2), 129–135.
Wang, X. H., and Liu, X. L. (2010). “Simplified methodology for the evaluation of the residual strength of corroded reinforced concrete beams.” J. Perform. Constr. Facil., 24(2), 108–119.
Xu, Y. L., Shen, W. D., and Wang, H. (1994). “An experimental study of bond-anchorage properties of bars in concrete.” J. Building Struct., 15(3), 26–37 (in Chinese).
Yang, S. S., and Chen, J. K. (1988). “Bond-slip and crack width calculations of tension members.” ACI Struct. J., 85(4), 414–422.
Yu, W. W., and Winter, G. (1960). “Instantaneous and long-time deflections of reinforced concrete beams under working loads.” ACI J. Proc., 57(1), 29–50.
Zhang, W. P., Shang, D. F., and Gu, X. L. (2006). “Stress-strain relationship of corroded steel bars.” J. Tongji Univ. (Sci.), 34(5), 586–592.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 139 • Issue 6 • June 2013
Pages: 940 - 948
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Apr 1, 2012
Accepted: Aug 2, 2012
Published online: Aug 13, 2012
Published in print: Jun 1, 2013
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.