Yield Penetration Hinge Rotation in Reinforced Concrete Beams
Publication: Journal of Structural Engineering
Volume 135, Issue 2
Abstract
Structural engineers have long recognized the importance of member ductility, that is member rotation, in the design of reinforced concrete structures in order to redistribute moment and absorb energy due to dynamic, seismic, and blast loads. Understanding the rotation mechanism has been a difficult task due to the complex and variable behavior of reinforced concrete members and this is reflected in the slow but steady research progress. In this paper, the three components of the rotational mechanism of reinforced concrete beams are described. The rotation due to yield penetration of the reinforcing bars is then mathematically quantified using partial-interaction theory, which depends on the bond characteristics. The results are compared with published empirical approaches and shown to be in good agreement. Finally, a variable hinge length that is specific to the rotation limit due to fracture of the reinforcing bar, that is yield penetration, is mathematically developed.
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Acknowledgments
This research project was funded by an Australian Research Council Discovery Grant No. UNSPECIFIEDDP0663740 on the development of innovative fiber reinforced polymer plating.
References
Baker, A. L. L. (1956). Ultimate load theory applied to the design of reinforced and prestressed concrete frames, Concrete Publications Ltd., London.
Barnard, P. R. (1964). “The collapse of reinforced concrete beams.” Flexural mechanics of reinforced concrete, Proc., Int. Symp. 501–511.
Barnard, P. R., and Johnson, R. P. (1965). “Plastic behaviour of continuous composite beams.” Proc.-Inst. Civ. Eng., 32 (Oct.), 161–210.
Chen, J. F., and Teng, J. G. (2006). “Special issue on bond behaviour of FRP in structures.” Adv. Struct. Eng., 9(6), 719–719.
Chen, J. F., Yuan, H., and Teng, J. G. (2007). “Debonding failure along a softening FRP-to-concrete interface between two adjacent cracks in concrete members.” Eng. Struct., 29(2), 259–270.
Corley, G. W. (1966). “Rotation capacity of reinforced concrete beams.” ASCE J. Struct. Div., 92(10), 121–146.
Debernardi, P. G., and Taliano, M. (2002). “On evaluation of rotation capacity for reinforced concrete beams.” ACI Struct. J., 99(3), 360–368.
Eligehausen, R., Popov, E. P., and Bertero, V. V. (1983). “Local bond stress-slip relationship of deformed bars under generalized excitations.” Rep. No. UCB/EERC-83/23, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Fantilli, A. P., Ferretti, D., Iori, I., and Vallini, P. (1998). “Flexural deformability of reinforced concrete beams.” J. Struct. Eng., 124(9), 1041–1049.
Fantilli, A. P., Ferretti, D., Iori, I., and Vallini, P. (2002). “Mechanical model for failure of compressed concrete in reinforced concrete beams.” J. Struct. Eng., 128(5), 637–645.
Gilbert, R. I., and Sakka, Z. I. (2007). “Effect of reinforcement type on the ductility of suspended reinforced concrete slabs.” J. Struct. Eng., 133(6), 834–843.
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.
Liu, I. S. T., Oehlers, D. J., and Seracino, R. (2006). “Tests on the ductility of reinforced concrete beams retrofitted with FRP and steel near-surface mounted plates.” J. Compos. Constr., 10(2), 106–114.
Mattock, A. H. (1967). “Discussion of rotational capacity of reinforced concrete beams by W. D. G. Corley.” ASCE J. Struct. Div., 93(2), 519–522.
Mohamed Ali, M. S., Oehlers, D. J., and Griffith, M. C. (2008a). “Simulation of plastic hinges in FRP plated RC beams.” J. Compos. Constr., 12(6), 617–625.
Mohamed Ali, M. S., Oehlers, D. J., Griffith, M. C., and Seracino, R. (2008b). “Interfacial stress transfer of near surface mounted FRP-to-concrete joints.” Eng. Struct., 30(7), 1861–1868.
Mohamed Ali, M. S., Oehlers, D. J., and Seracino, R. (2006). “Vertical shear interaction model between external FRP transverse plates and internal steel stirrups.” Eng. Struct., 28(3), 381–389.
Oehlers, D. J. (2006). “Ductility of FRP plated flexural members.” Cem. Concr. Compos., 28, 898–905.
Oehlers, D. J., Liu, I. S. T., and Seracino, R. (2005). “The gradual formation of hinges throughout reinforced concrete beams.” Mech. Based Des. Struct. Mach., 33, 375–400.
Oehlers, D. J., Mohammed Ali, M. S., and Griffith, M. C. (2008). “Concrete component of the rotational ductility of reinforced concrete flexural members.” Adv. Struct. Eng., 11(3), 293–303.
Panagiotakos, T. B., and Fardis, M. N. (2001). “Deformations of reinforced concrete members at yielding and ultimate.” ACI Struct. J., 98(2), 135–148.
Pochanart, S., and Harmon, T. (1989). “Bond-slip model for generalized excitations including fatigue.” ACI Mater. J., 86(5), 465–474.
Priestley, M. J. N., and Park, R. (1987). “Strength and ductility of concrete bridge columns under seismic loading.” ACI Struct. J., 84(1), 61–76.
Saatcioglu, M., Alsiwat, J. M., and Ozcebe, G. (1992). “Hysteretic behavior of anchorage slip in R/C members.” J. Struct. Eng., 118(9), 2439–2458.
Sawyer, H. A. (1964). “Design of concrete frames for two failure states.” Proc., Int. Symp. on the Flexural Mechanics of Reinforced Concrete, ASCE-ACI, 405–431.
Seracino, R., Saifulnaz, R., and Oehlers, D. J. (2007). “Generic intermediate crack debonding resistance of EB and NSM plate plate-to-concrete joints.” J. Compos. Constr., 11(1), 62–72.
Vintzileou, E., and Stathatos, A. (2007). “Assessment of the seismic behaviour of RC columns.” Eng. Struct., 29(7), 1296–1311.
Viwathantepa, S., Popov, E. P., and Bertero, V. V. (1979). “Effects of generalized loadings on bond of reinforcing bars embedded in confined concrete blocks.” Rep. No. UCB/EERC-79/22, Earthquake Engineering Research Center, Berkley, Calif.
Wood, R. H. (1968). “Some controversial and curious developments in the plastic theory of structures.” Engineering plasticity, J. Heyman and F. A. Leckie, eds., Cambridge University Press, Cambridge, U.K., 665–691.
Wu, C. Q., et al. (2007). “Blast testing of RC slabs with NSM CFRP plates.” Adv. Struct. Eng., 10(4), 397–414.
Wu, Y. F. (2006). “New avenue of achieving ductility for reinforced concrete members.” J. Struct. Eng., 132(9), 1502–1506.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 2 • February 2009
Pages: 130 - 138
Copyright
© 2009 ASCE.
History
Received: Nov 27, 2007
Accepted: Jul 29, 2008
Published online: Feb 1, 2009
Published in print: Feb 2009
Notes
Note. Associate Editor: Dat Duthinh
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