Simple Rational Model for Reinforced Concrete Subjected to Seismic Shear
Publication: Journal of Structural Engineering
Volume 135, Issue 7
Abstract
A model is presented that can predict the load-deformation response of reinforced concrete subjected to reverse-cyclic (seismic) shear. Average strains due to crack displacements are separated from concrete strains according to simple assumptions resulting in a rational model that can account for the two sets of cracks that are open when applied shear reverses direction. Closing cracks are assumed to close as a function of the compression stress applied normal to cracks, while opening cracks open as necessary to maintain compatibility of concrete and reinforcement strains. With the separation of strains due to crack displacements, simple material stress-strain relationships for concrete and reinforcement are sufficient to capture the complexities of reverse-cyclic response. The model accurately predicts underlying mechanisms such as accumulation of plastic strain in reinforcement, which defines the degree of pinching in the hysteretic response of reinforced concrete subjected to reverse-cyclic shear. Concrete shear failures are captured by a limit on ultimate shear strain that depends on the shear strain at first yielding of reinforcement and the ratio of shear stress to concrete strength.
Get full access to this article
View all available purchase options and get full access to this article.
References
ASCE-ACI Committee 445 on Shear and Torsion. (1998). “Recent approaches to shear design of structural concrete.” J. Struct. Eng., 124(12), 1375–1417.
Baumann, T. (1972). “Zur frage der netzbewehrung von flächentragweken [On the problem of net reinforcement of surface structures].” Bauingenieur, 47(10), 367–377.
Collins, M. P. (1978). “Towards a rational theory for RC members in shear.” J. Struct. Div., 104(4), 649–666.
Collins, M. P., Mitchell, D., Adebar, P., and Vecchio, F. J. (1996). “A general shear design method.” ACI Struct. J., 93(1), 36–45.
Gérin, M. (2003). “Reverse-cyclic shear in reinforced concrete elements.” Ph.D. thesis, Dept. of Civil Engineering, The Univ. of British Columbia, Vancouver, Canada.
Gérin, M., and Adebar, P. (1999). “Important issues in the seismic shear response of reinforced concrete.” Proc., 8th Canadian Conf. on Earthquake Engineering, Canadian Association of Earthquake Engineering, Ottawa, 457–462.
Gérin, M., and Adebar, P. (2000). “A rational model for reinforced concrete membrane elements subjected to seismic shear.” Proc., 12th World Conf. on Earthquake Engineering (CD-ROM), New Zealand Society for Earthquake Engineering, Wellington, New Zealand.
Gérin, M., and Adebar, P. (2004). “Accounting for shear in seismic analysis of concrete structures.” Proc., 13th World Conf. on Earthquake Engineering (CD-ROM), Canadian Association of Earthquake Engineering, Ottawa.
Gérin, M., and Adebar, P. (2007). “Seismic shear model for non-linear dynamic analysis of concrete shear wall buildings.” Proc., 9th Canadian Conf. on Earthquake Engineering (CD-ROM), Canadian Association of Earthquake Engineering, Ottawa.
Mansour, M. Y., Hsu, T. T. C., and Lee, J. Y. (2000). “Pinching effect in hysteretic loops of R/C shear elements.” Proc., ACI Fall Convention, ACI, Farmington Hills, Mich.
Matsuzaki, Y., Fukuyama, H., Iizuka, T., and Noguchi, H. (1989). “Behavior of a crack under reversed cyclic loading.” Proc., Structural Design, Analysis, and Testing, ASCE, New York, 11–20.
Meyboom, J. (1987). An experimental investigation of partially prestressed, orthogonally reinforced concrete elements subjected to membrane shear, Dept. of Civil Engineering, University of Toronto, Toronto.
Ohmori, N., Tsubota, H., Inoue, N., Watanabe, S., and Kurihara, K. (1987). “Reinforced concrete membrane elements subjected to reversed cyclic in-plane shear stress.” Proc., Structural Mechanics in Reactor Technology: Transactions of the 9th Int. Conf. on Structural Mechanics in Reactor Technology, IASMiRT, Raleigh, N.C., 513–524.
Palermo, D., and Vecchio, F. J. (2003). “Compression field modeling of reinforced concrete subjected to reversed loading: Formulation.” ACI Struct. J., 100(5), 616–625.
Rose, B., Shing, P. B., Spacone, E., and Willam, K. (2002). “Modeling of the shear behavior of RC members.” Proc., 7th U.S. National Conf. on Earthquake Engineering (7NCEE) (CD-ROM), EERI, Oakland, Calif.
Stevens, N. J., Uzumeri, S. M., and Collins, M. P. (1987). Analytical modelling of reinforced concrete subjected to monotonic and reversed loadings, Department of Civil Engineering, University of Toronto, Toronto.
Vecchio, F. J. (2000). “Disturbed stress field model for reinforced concrete: Formulation.” J. Struct. Eng., 126(9), 1070–1077.
Vecchio, F. J., and Collins, M. P. (1982). “The response of reinforced concrete to in-plane shear and normal stresses.” Rep. No. 82-03, Dept. of Civil Engineering, Univ. of Toronto, Toronto.
Vecchio, F. J., and Collins, M. P. (1986). “The modified compression-field theory for reinforced concrete elements subjected to shear.” ACI J., 83(2), 219–231.
Villani, D. R. (1995). “Reinforced concrete subjected to cyclic loads: A pilot study.” BASc thesis, Univ. of Toronto, Toronto.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 135 • Issue 7 • July 2009
Pages: 753 - 761
Copyright
© 2009 ASCE.
History
Received: Nov 3, 2006
Accepted: Mar 13, 2009
Published online: Jun 15, 2009
Published in print: Jul 2009
Notes
Note. Associate Editor: Rob Y. H. Chai
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.