TECHNICAL PAPERS
May 1, 1987

Response of Reinforced Concrete Slab Elements to Torsion

Publication: Journal of Structural Engineering
Volume 113, Issue 5

Abstract

Methods of predicting the load‐deformation response of orthogonally reinforced concrete slab elements subjected to pure torsional moments in the reinforcement directions are presented. Uncracked, cracked, and ultimate behavior are discussed, treating the reinforcement as linearly elastic‐perfectly plastic and using linear, nonlinear (parabolic), and perfectly plastic stress‐strain relationships for the concrete. The softening effect of the transverse tensile strains on the response of concrete in compression is taken into account by adopting an empirical expression derived from tests on reinforced concrete panels subjected to membrane forces. It is shown that this softening effect has a significant influence on both stiffness and strength and that a yield‐line approach may considerably overestimate the ultimate torsional resistance.

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References

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ACI 318‐83: Building code requirements for reinforced concrete. (1983). American Concrete Institute, Detroit, Mich.
2.
CAN3‐A23.3‐M84: Design of concrete structures for buildings. (1984). Canadian Standards Association, Rexdale, Ontario, Canada.
3.
Johansen, K. W. (1943). Brudlinieteorier. Gjellerup, Copenhagen, Denmark. (English edition: Yield‐line theory. (1962). Cement and Concrete Association, London, U.K.)
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Khalifa, J. (1986). “Limit analysis and design of reinforced concrete shell elements,” thesis presented to the University of Toronto, at Toronto, Ontario, Canada, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Kirchhoff, G. (1850). “Ueber das Gleichgewicht und die Bewegung einer elastischen Scheibe (On the equilibrium and the motion of an elastic plate).” Journal fuer die reine und angewandte Mathematik, Herausg. A. L. Crelle, 40, 51–88.
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Kong, K. (1985). “A computer program to predict the response of orthogonally reinforced concrete slabs subjected to torsion,” thesis presented to the University of Toronto, at Toronto, Ontario, Canada, in partial fulfillment of the requirements for the degree of Master of Engineering.
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Lenschow, R. J., and Sozen, M. A. (1967). “A yield criterion for reinforced concrete slabs.” J. Amer. Concrete Inst., 64(5), 266–273.
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Marti, P. (1980). “Zur Plastischen Berechnung von Stahlbeton (On plastic analysis of reinforced concrete).” Report No. 104, Institute of Structural Engineering, ETH, Zürich, Switzerland.
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Marti, P., Leesti, P., and Khalifa, W. U. (1987). “Torsion Tests on Reinforced Concrete Slab Elements,” J. Struct. Engrg., ASCE, 113(5), 994–1010.
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Massonnet, C. E., and Save, M. A. (1963). Calcul plastique des constructions, Vol. II: Structures spatiales. Centre Belgo‐Luxembourgeois d'Information de l'Acier, Brussels, Belgium. (English edition: Plastic analysis and design of plates, shells and disks. (1964). North‐Holland Publishing Co., Amsterdam, Netherlands.)
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Nielsen, M. P. (1964). “Limit analysis of reinforced concrete slabs,” Acta Polytechnica Scandinavica, Ci 26, Copenhagen, Denmark.
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Nielsen, M. P. (1971). “On the strength of reinforced concrete discs,” Acta Polytechnica Scandinavica, Ci 70, Copenhagen, Denmark.
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Vecchio, F. J., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear,” J. Amer. Concrete Inst., 83(2), 219–231.
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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 5May 1987
Pages: 976 - 993

History

Published online: May 1, 1987
Published in print: May 1987

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Authors

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Peter Marti, M. ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada M5S 1A4
Keith Kong
Engr., R. Halsall & Assoc. Ltd., Consulting Engrs., Toronto, Ontario, Canada

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