Nonlinear Finite Element Analysis of Concrete Deep Beams
Publication: Journal of Structural Engineering
Volume 120, Issue 4
Abstract
The salient features and concepts of a model developed recently are reviewed. The parameters of the model are the peak compressive stress of concrete, initial elastic modulus, and tangential Poisson's ratio. The peak stress is assumed equal to the compressive strength of standard cylindrical concrete specimens, the Poisson's ratio is calculated by a proposed empirical equation. Predictions of the model compare favorably with experimental data on small specimens reported by various investigators. The model was implemented with the finite element method and several deep beams were analyzed and compared with experimental data. The strain softening characteristics of the model allowed satisfactory predictions of the response up to failure. The areas where cracks developed and the propagation of the crack zones up to the final collapse of the beam were predicted and compared with experimental data. Finally the model was used to predict the behavior of square panels subjected to in‐plane axial and shear forces as well as pure shear. The predictions are satisfactory.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Brock, G., (1964). Discussion of “The riddle of shear failure and its solutions,” by G. N. J. Kani, Journal of ACI, 61(12), 1587–1590.
2.
De Paiva, H. A. R., and Siess, C. P. (1965). “Strength and behavior of deep beams in shear.” J. Struct. Div., ASCE, 91(5), 19–41.
3.
Fafitis, A., and Shah, S. P. (1984). “Rheological model for cyclic loading of concrete.” J. Struct. Engrg., ASCE, 110(9), 2085–2102.
4.
Fafitis, A., and Shah, S. P. (1986). “Constitutive model for biaxial cyclic loading of concrete.” J. Engrg., Mech., ASCE, 112(8), 760–775.
5.
Fafitis, A., and Won, Y. H. (1989). “A stochastic nonlinear constitutive law for concrete.” J. Engrg. Mater. Technol. Trans. ASME, 3, 443–449.
6.
Fafitis, A., and Won, Y. H. (1992a). “A multiaxial stochastic constitutive law for concrete‐theoretical development.” J. Appl. Mech. Trans. ASME, 59, 283–288.
7.
Fafitis, A., and Won, Y. H. (1992b). “A multiaxial stochastic constitutive law for concrete with dilatancy—comparison with experimental data.” J. Appl. Mech. Trans. ASME, 59, June, 289–294.
8.
Gilbert, R. I., and Warner, R. F. (1978). “Tension stiffening in reinforced concrete slabs.” J. Struct. Engrg., ASCE, 104(12), 1885–1900.
9.
Kong, F. K., Robins, P. J., and Cole, D. F. (1970). “Web reinforcement effects on deep beams.” J. ACI, 67(12), 1010–1017.
10.
Kupfer, H., Hisdorf, H. K., and Rush, H. (1969). “Behavior of concrete under biaxial stress.” J. ACI, 656–666.
11.
Laupa, A., Siess, C. P., and Newmark, N. M. (1959). “Strength in shear of reinforced concrete beams.” Bulletin No. 428, Engrg. Experiment Station, Univ. of Illinois, Urbana, Ill.
12.
Lin, C. S., and Scordelis, A. (1975). “Nonlinear analysis of RC shells of general form.” J. Struct. Engrg., ASCE, 101(3), 523–538.
13.
Maekawa, K., and Okamura, H. (1983). “The deformational behavior and constitutive model.” J. Faculty of Engrg., University of Tokyo, 37(2).
14.
Ngo, D., and Scordelis, A. C. (1967). “Finite element analysis of reinforced concrete beams.” J. ACI, 64(3), 152–163.
15.
Nilson, A. H. (1968). “Nonlinear analysis of reinforced concrete by the finite element method.” J. ACI, 65(9), 757–766.
16.
Ramakrishnan, V., and Anathanarayana, Y. (1968). “Ultimate strength of deep beams in shear.” J. ACI, 65(2), 87–98.
17.
Smith, K. N., and Vantsiotis, A. S. (1982). “Shear strength of deep beams.” J. ACI, 79(3), 201–213.
18.
Subedi, N. K. (1988). “Reinforced concrete deep beams: a method of analysis.” Proc. Instn. Civ. Engrs., Part 2, pp. 1–30.
19.
Tasuji, M. E., Slate, F. O., and Nilson, A. H. (1978). “Stress‐strain response and fracture of concrete in biaxial loading.” J. ACI, 75(7), 306–312.
20.
Van Mier, J. G. M. (1985). “Strain‐softening of the concrete under multiaxial loading conditions,” PhD thesis, Eindhoven University of Technology, Eindhoven, the Netherlands.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 120 • Issue 4 • April 1994
Pages: 1202 - 1220
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Feb 27, 1992
Published online: Apr 1, 1994
Published in print: Apr 1994
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.