Model for Reinforced Concrete Members under Torsion, Bending, and Shear. I: Theory
This article is a reply.
VIEW THE ORIGINAL ARTICLEThis article has a reply.
VIEW THE REPLYPublication: Journal of Engineering Mechanics
Volume 135, Issue 9
Abstract
A model has been developed that can predict the load-deformation response of a reinforced concrete (RC) member subjected to torsion combined with bending and shear to spalling or ultimate capacity. The model can also be used to create interaction surfaces to predict the failure of a member subjected to different ratios of applied torsion, bending, and shear. The model idealizes the sides of an reinforced concrete member as shear “wall panels.” The applied loads are distributed to the wall panels as uniform normal stresses and uniform shear stresses. The shear stress due to an applied torsional moment and shear force are summed over the thickness of the shear flow zone. Stress-strain relationships are adopted for tension stiffening and softened concrete in compression. The crack alignment rotates to remain normal to the principal tensile stress and the contribution of concrete in shear is neglected. The model has been validated by comparing the predicted and experimental behavior of members loaded under torsion combined with different ratios of bending and shear. The torque-twist behavior, reinforcement stress, and concrete surface strain predicted by the model were in agreement with experimental results.
Get full access to this article
View all available purchase options and get full access to this article.
References
Belarbi, A., and Hsu, T. T. C. (1991). “Constitutive laws of reinforced concrete in biaxial tension-compression.” Research Rep. No. UHCEE 91-2, Dept. of Civil and Environmental Engineering, Univ. of Houston, Houston, Tex.
Belarbi, A., and Hsu, T. T. C. (1994). “Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete.” ACI Struct. J., 91(4), 465–474.
Bredt, R. (1896). “Kritische bemerkungen zur drehungselastizitat.” Z. Ver. Dtsch. Ing., 40(28), 785–790.
Collins, M. P. (1972). “Torque-twist characteristics of reinforced concrete beams.” Inelasticity and non-linearity in structural concrete, SM Study No. 8, University of Waterloo Press, Waterloo, Canada.
Elfgren, L., Karlsson, I., and Losberg, A. (1974). “Torsion-bending-shear interaction for concrete beams.” J. Struct. Div., 100(8), 1657–1676.
Greene, G. G. (2006). “Behavior of reinforced concrete girders under cyclic torsion and torsion combined with shear: Experimental investigation and analytical models.” Ph.D. dissertation, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Missouri–Rolla, Mo.
Greene, G. G., and Belarbi, A. (2006). “Tension stiffened softened truss model for RC under pure torsion.” CD Proc., 2nd FIB Congress (CD-ROM), Paper No. 0952.
Greene, G. G., and Belarbi, A. (2009). “Model for RC members under torsion, bending, and shear. II: Model application and validation.”J. Eng. Mech., 135(9), 970–977.
Hsu, T. T. C. (1993). Unified theory of reinforced concrete, CRC, Boca Raton, Fla.
Hsu, T. T. C., and Mo, Y. L. (1985). “Softening of concrete in torsional members—Theory and tests.” ACI J., 82(3), 290–303.
Mitchell, D., and Collins, M. P. (1974). “Diagonal compression field theory—A rational model for structural concrete in pure torsion.” ACI J., 71(8), pp. 396–408.
Onsongo, W. M. (1978). “The diagonal compression field theory for reinforced concrete beams subjected to combined torsion, flexure and axial loads.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Toronto, Canada.
Pang, X. B., and Hsu, T. T. C. (1992). “Constitutive laws of reinforced concrete in shear.” Research Rep. No. UHCEE 92-1, Dept. of Civil and Environmental Engineering, Univ. of Houston, Houston, Tex.
Rahal, K. N., and Collins, M. P. (1995). “Analysis of sections subjected to combined shear and torsion—A theoretical model.” Z. Ver. Dtsch. Ing., 92(4), 459–469.
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.
Information & Authors
Information
Published In
Copyright
© 2009 ASCE.
History
Received: Jun 22, 2007
Accepted: Mar 26, 2009
Published online: Aug 14, 2009
Published in print: Sep 2009
Notes
Note. Associate Editor: George Z. Voyiadjis
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.