Reinforced Concrete Beams Subjected to Bending and Torsion
Publication: Journal of Structural Engineering
Volume 113, Issue 2
Abstract
A diagonal compression field theory was extended to study the postcracking behavior of reinforced concrete sections subjected to combined axial force, biaxial bending, and torsion. The theory assumes that when concrete cracks are formed by the torsion, the reinforced concrete member becomes a hollow section with varied wall thickness, which is then discretized into a wall element system. With the consideration of equilibrium and compatibility conditions, the theory converts the problem to that of solving a system of nonlinear equations. An examination of the model's response in limiting loading cases indicated that the proposed method provides a single model unifying the pure torsion and pure bending theories. The proposed theory was calibrated with experimental data for combined bending and torsion of both rectangular and slab sections. The comparison indicated that the post‐cracking behavior is in general well predicted by the model. The proposed theory can be employed to determine the moment/curvature and torsion/twist responses of general reinforced concrete sections subjected to combined loadings.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cardenas, A., and Sozen, M. A., “Strength and Behavior of Isotropically and Nonisotropically Reinforced Concrete Slabs Subjected to Combinations of Flexural and Torsional Moments,” Civil Engineering Studies, Structural Research Series, No. 336, University of Illinois, Urbana, Ill., May, 1968.
2.
Collins, M. P., “The Torque‐Twist Characteristics of Reinforced Concrete Beams,” S M Study, No. 8, Inelasticity and Non‐Linearity in Structural Concrete, University of Waterloo Press, Waterloo, Ont., Canada, 1972, pp. 211–231.
3.
Collins, M. P., and Mitchell, D., “Shear and Torsion Design of Prestressed and Non‐Prestressed Concrete Beams,” PCI Journal, Vol. 25, No. 5, Sept.–Oct., 1980, pp. 33–100.
4.
Hsu, T. T., Torsion of Reinforced Concrete, Van Nostrand Reinhold, New York, N.Y., 1984.
5.
Hsu, T. T., “Torsion of Structural Concrete—Behavior of Reinforced Concrete Rectangular Members,” Torsion of Structural Concrete, Publication SP‐18, American Concrete Institute, Detroit, Mich., 1968, pp. 261–306.
6.
Jeeves, T. A., “Secant Modification of Newton's Method,” Communications of the ACM, Vol. 1, No. 8, 1958, pp. 9–10.
7.
Lampert, P., “Ultimate Strength of Reinforced Concrete Beams in Torsion and Bending (Bruchwiderstand von Stahlbetonbalken unter Torsion and Beigung), Dissertation No. 4445, Institut fur Baustatik, ETH Zurich, Switzerland, 1970.
8.
Lampert, P., and Collins, M. P., “Torsion, Bending, and Confusion—An Attempt to Establish the Facts,” ACI journal, Proceedings, Vol. 69, No. 8, Aug., 1972, pp. 385–433.
9.
Lampert, P., and Thürlimann, B., “Ultimate Strength and Design of Reinforced Concrete Beams in Torsion and Bending,” Vol. 31‐I, IABSE Publications, Swiss Federal Institute of Technology, Zurich, Switzerland, 1971.
10.
Leung, M. B., “Inelastic Analysis of Reinforced Concrete Beams Subjected to Combined Axial Force, Bending and Torsion,” thesis presented to the University of Illinois, Urbana, Ill., in 1982, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Mitchell, D., and Collins, M. P., “Diagonal Compression Field Theory—A Rational Model for Structural Concrete in Pure Torsion,” ACI Journal, Proceedings, Vol. 71, No. 8, Aug., 1974, pp. 396–408.
12.
Onsongo, W. M., “The Diagonal Compression Field Theory for Reinforced Concrete Beams Subjected to Combined Torsion, Flexural and Axial Load,” thesis presented to the University of Toronto, Toronto, Ontario, Canada, in 1978, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
13.
Wolfe, P., “The Secant Method for Simultaneous Non‐Linear Equations.” Communications of the ACM, Vol. 2, 1959.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 113 • Issue 2 • February 1987
Pages: 307 - 321
Copyright
Copyright © 1987 ASCE.
History
Published online: Feb 1, 1987
Published in print: Feb 1987
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.