Short-Term Partial-Interaction Behavior of RC Beams with Prestressed FRP and Steel
Publication: Journal of Composites for Construction
Volume 18, Issue 1
Abstract
The deformation of a prestressed concrete (PC) member is controlled by the variation in flexural rigidity (EI) both along the length of the member and with applied loads. Typically, the moment-curvature approach is used to quantify EI with the analysis being mechanically correct prior to cracking as the only empirically derived components are the material stress-strain relationships. Postcracking, however, the approach has to be semi-empirical as it cannot directly simulate the effects of tension stiffening. This paper presents a displacement-based approach for determining the behavior of PC members, with and without supplementary tension reinforcement. Applying the mechanics of partial-interaction (PI) theory, the approach directly simulates the formation and widening of cracks as the reinforcement pulls from the crack face, thus directly allowing for tension stiffening. The PI approach can quantify the equivalent flexural rigidities () associated with tension-stiffening which can be used in standard analysis techniques to predict member behavior. The proposed PI is finally used to predict the behavior of members with both steel and fiber-reinforced polymer (FRP) reinforcement and a good correlation with test results from serviceability to ultimate loading is obtained.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors would like to acknowledge the support of the Australian Research Council ARC Discovery Project DP0985828, “A unified reinforced concrete model for flexure and shear.”
References
Bazant, Z. P., and Panula, L. (1980). “Creep and shrinkage characterization for analyzing prestressed concrete structures.” PCI J., 25(3), 86–122.
Bishara, A., and Almeida, F. (1970). “Concrete beams with prestressed reinforcement.” J. Struct. Eng., 96(7), 1145–1460.
Bischoff, P. H. (2005). “Re-evaluation of deflection predictions for concrete beams reinforced with steel and FRP bars.” J. Struct. Eng., 752–767.
Branson, D. E. (1977). Deformation of concrete structures, McGraw-Hill, New York.
Branson, D. E., and Trost, H. (1982). “Application of the I-effect method in calculating deflections of partially prestressed members.” PCI J., 27(5). 62–77.
Chen, Y., Visintin, P., Oehlers, D., and Alengaram, U. (2013). “Size Dependent Stress-Strain Model for Unconfined Concrete.” J. Struct. Eng.,.
Choi, C. K., and Cheung, S. H. (1996). “Tension stiffening model for planar reinforced concrete members.” Comput. Struct., 59(1), 179–190.
Eligehausen, R., Popov, E. P., and Bertero, V. V. (1983). “Local bond stress-slip relationship of deformed bars under generalized excitations.”, Earthquake Engineering Research Centre, Univ. of California, Berkeley, Berkeley, CA.
Euro-International Committee for Concrete (CEB). (1993). “CEB-FIP Model Code 90.”, Thomas Telford, London.
Foster, S. J., Kilpatrick, A. E., and Warner, R. F. (2010). Reinforced concrete basics, 2nd Ed., Pearson Australia, Frenchs Forest, NSW, Australia.
Gilbert, R. I., and Mickleborough, N. C. (1990). Design of prestressed concrete, Unwin Hyman, London.
Gilbert, R. I., and Ranzi, G. (2011). Time-dependent behaviour of concrete structures. Spon Press, Oxon, UK.
Glodowski, R. J., and Lorenzetti, J. J. (1972). “A method for predicting prestress losses in a prestressed concrete structure.” PCI J., 17–31.
Gupta, A. K., and Maestrini, S. R. (1990). “Tension stiffening model for reinforced concrete bars.” J. Struct. Eng., 769–790.
Haskett, M., Oehlers, D. J., and Mohamed Ali, M. S. (2008). “Local and global bond characteristics of steel reinforcing bars.” Eng. Struct., 30(2), 376–383.
Haskett, M., Oehlers, D. J., Mohamed Ali, M. S., and Wu, C. (2009a). “Rigid body moment-rotation mechanism for reinforced concrete beam hinges.” Eng. Struct., 31(5), 1032–1041.
Haskett, M., Oehlers, D. J., Mohamed Ali, M. S., and Wu, C. (2009b).” Yield penetration hinge rotation in reinforced concrete beams.” J. Struct. Eng., 130–138.
Hognestad, E., Hanson, N. W., and McHenry, D. (1955). “Concrete stress distribution in ultimate strength design.” J. ACI, 27(4), 455–479.
International Federation for Structural Concrete (fib). (2010). “Model Code 2010—First complete draft.”, Lausanne, Switzerland.
Jiang, D. H., Shah, S. P., and Andonian, A. T. (1984). “Study of the transfer of tensile forces by bond.” J. ACI, 81(3), 251–259.
Kawakami, M., and Ghalim, A. (1996). “Time-dependent stresses in prestressed concrete sections of general shape.” PCI J., 96–105.
Lee, G. Y., and Kim, W. (2008). “Cracking and tension stiffening behaviour of high strength concrete tension members subjected to axial load.” Adv. Struct. Eng., 11(5), 127–137.
Marti, P., Alvarez, M., Kaufmann, W., and Sigrist, V. (1998). “Tension chord model for structural concrete.” Struct. Eng. Int., 8(4), 287–298.
Mawal, M.B. (1979). “Concrete beams with prestressed elements.” J. Struct. Div., 105(1–4), 617–633.
Mohamed Ali, M. S., Oehlers, D. J., Haskett, M., and Griffith, M. C. (2012). “Discrete rotation in RC beams.” J. Eng. Mech., 1317–1325.
Mirza, S. M., and Houde, J. (1979). “Study of bond stress-slip relationships in reinforced concrete.” J. ACI, 76(1), 19–46.
Muhamed, R., Mohamed Ali, M. S., Oehlers, D. J., and Griffith, M. C. (2012). “The tension stiffening mechanism in reinforced concrete prisms.” Adv. Struct. Eng., 15(12), 2053–2069.
Muhamad, R., Mohamed Ali, M. S., Oehlers, D. J., and Sheikh, A. H. (2011). “Load-slip relationship of tension reinforcement in reinforced concrete members.” Eng. Struct., 33(4), 1098–1106.
Nawy, E. G. (2010). Prestressed concrete: A fundamental approach, 5th Ed., Prentice Hall, Upper Saddle River, NJ.
Oehlers, D. J., Liu, I. S. T., and Seracino, R. (2005). “The gradual formation of hinges throughout reinforced concrete beams.” Mech. Based Design Struct. Mach., 33(3–4), 375–400.
Oehlers, D. J., Mohamed Ali, M. S., Haskett, M., Lucas, W., Muhamed, R., and Visintin, P. (2011). “FRP reinforced concrete beams: Unified approach based on IC theory.” J. Compos. Constr., 293–303.
Oehlers, D. J., Muhamad, R., and Mohamed Ali, M. S. (2013). “Serviceability flexural ductility of FRP and steel RC beams: A discrete rotation approach.” Constr. Build. Mater.,.
Oehlers, D. J., Visintin, P., Zhang, T., Chen, Y., and Knight, D. (2012). “Flexural rigidity of reinforced concrete members using a deformation based analysis.” Concrete Austral., 38(4), 50–56.
Panagiotakos, T. B., and Fardis, M. N. (2001). “ Deformation of reinforced concrete members at yielding and ultimate.” ACI Struct. J., 98(2), 135–148.
Rizkalla, S. H., and Hwang, L. S. (1984). “Crack prediction for members in uniaxial tension.” J. ACI, 81(6), 572–579.
Seracino, R., Jones, N. M., Ali, M. S. M., Page, M. W., and Oehlers, D. J. (2007b). “Bond strength of near-surface mounted FRP-to-concrete joints.” J. Compos. Constr., 401–409.
Seracino, R., Raizal Saifulnaz, M. R., and Oehlers, D. J. (2007a). “Generic debonding resistance of EB and NSM plate-to-concrete joints.” J. Compos. Constr., 62–70.
Standards Australia. (2009). “Concrete Structures.” AS3600-2009, Sydney, Australia.
Tasdemir, M. A., Tasdemir, C., Akyüz, S., Jefferson, A. D., Lydon, F. D., and Barr, B. I. G. (1998). “Evaluation of strains at peak stresses in concrete: A three phase composite model approach.” J. Cement Concrete Compos., 20(4), 301–318.
Thompson, K. J., and Park, R. (1980). “Ductility of prestressed and partially prestressed concrete beam sections.” PCI J., 46–70.
Visintin, P., Oehlers, D. J., and Haskett, M. (2013a). “Partial-interaction time dependent behaviour of reinforced concrete beams.” Eng. Struct., 49, 408–420.
Visintin, P., Oehlers, D. J., Haskett, M., and Wu., C. (2013b). “A mechanics based hinge analysis for reinforced concrete columns.” J. Struct. Eng., in press.
Visintin, P., Oehlers, D. J., Wu., C., and Haskett, M. (2012). “A mechanics solution for hinges in RC beams with multiple cracks.” Eng. Struct., 36, 61–69.
Warner, R. F., Rangan, B. V., Hall, A. S., and Faulkes, K. A. (1998). Concrete structures, Addison Wesley Longman Australia Pty, Sydney, Australia.
Wu, H. Q., and Gilbert, R. I. (2008). “An experimental study of tension stiffening in reinforced concrete members under short-term and long-term loads.”, Univ. of New South Wales, Sydney, Australia.
Wu, Z., Yoshikawa, H., and Tanabe, T. (1991). “Tension stiffness model for cracked reinforced concrete.” J. Struct. Eng., 715–732.
Zou, P. X. W. (2003). “Flexural Behaviour and Deformability of Fibre Reinforced Polymer Prestressed Concrete Beams.” J. Compos. Constr., 275–284.
Information & Authors
Information
Published In
Copyright
© 2013 American Society of Civil Engineers.
History
Received: Mar 25, 2013
Accepted: Jun 24, 2013
Published online: Jun 26, 2013
Published in print: Feb 1, 2014
Discussion open until: Mar 16, 2014
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.