Tension‐Stiffness Model for Reinforced Concrete Bars
Publication: Journal of Structural Engineering
Volume 116, Issue 3
Abstract
An analytical formulation for modeling the tension‐stiffness phenomenon in cracked reinforced concrete bars is presented. It is assumed that the bond stress‐slip relationship is bilinear, and remains linear throughout the bar in the initial stages of the cracking. At the later stages, the bond stress becomes constant. Unlike in the reinforced concrete models currently in use, it is shown that the tension‐stiffness phenomenon is a function of the parameters of the problem, viz., the area parameter, the bond parameter, and the strength parameter. A simplified model is also presented in which the bond parameter is eliminated. Results from the present model are compared with those from some test results. Various implications related to the assumptions and the conclusions are reviewed. The experimental results show a marked reduction in the tensile capacity of concrete at higher deformations that cannot be explained by the proposed relationships. A possible solution is to use a variable concrete tensile strength that diminishes exponentially as a function of the average tensile strain and a damage parameter. Future investigations may show that this parameter is related to the property of the materials, geometry of the structural member, the loading level, and so on. The present formulation represents a significant improvement over the models currently in use.
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References
1.
Bažant, Z. P., and Oh, B. H. (1984). “Deformation of progressively cracking reinforced concrete beams.” J. Amer. Concr. Inst., 81(3), 268–278.
2.
Edwards, A. D., and Picard, A. (1972). “Theory of cracking in concrete members.” J. Struct. Div., ASCE, 98(12), 2687–2700.
3.
Floegl, H., and Mang, H. A. (1982). “Tension stiffening concept based on bond slip.” J. Struct. Div., ASCE, 108(12), 2681–2701.
4.
Gilbert, R. I., and Warner, R. F. (1978). “Tension‐stiffening in reinforced concrete slabs.” J. Struct. Div., ASCE, 104(12), 1885–1900.
5.
Goto, Y. (1971). “Cracks formed in concrete around deformed tension bars.” J. Amer. Concr. Inst., 68(4), 244–251.
6.
Gupta, A. K., and Maestrini, S. R. (1989a). “Post‐cracking behavior of membrane reinforced concrete elements including tension‐stiffening.” J. Struc. Engrg., 115(4), 957–976.
7.
Gupta, A. K., and Maestrini, S. R. (1989b). “Unified approach to modeling post‐cracking membrane behavior of reinforced concrete,” J. Struct. Engrg., 115(4), 977–993.
8.
Hageman, L. J., Murakami, H., and Hegemier, G. A. (1986). “On simulating steel‐concrete interaction in reinforced concrete. Part II: Validation studies.” Mech. of Matls., 5(2), 187–197.
9.
Hegemier, G. A., Murakami, H., and Hageman, L. J. (1985). “On tension‐stiffening in reinforced concrete.” Mech. of Matls., 4(2), 161–179.
10.
Houde, J., and Mirza, M. S. (1972). “A study of bond stress‐slip relationships in reinforced concrete.” Struct. Concr. Series, No. 72‐8, Structs. Lab., McGill Univ., Montreal, Canada.
11.
Hwang, L. S., and Rizkalla, S. H. (1983). “Behavior of reinforced concrete in tension at post‐cracking range.” Engrg. Rept., Dept. of Civ. Engrg., Univ. of Manitoba, Winnipeg, Canada.
12.
Jiang, D. H., Shah, S. P., and Andonian, A. T. (1984). “Study of the transfer of tensile forces by bond.” J. Amer. Concr. Inst., 81(3), 251–259.
13.
Lin, C. S., and Scordelis, A. C. (1975). “Nonlinear anslysis of RC shells of general forms.” J. Struct. Div., ASCE, 111(3), 523–538.
14.
Lutz, L. A., and Gergely, P. (1967). “Mechanics of bond and slip of deformed bars in concrete.” J. Amer. Coner. Inst., 64(11), 711–721.
15.
Maestrini, S. R., and Gupta, A. K. (1987). “Membrane behavior of reinforced concrete shell elements including tension‐stiffening.” Reinforced Concr. Shell Res. Rept., Dept. of Civ. Engrg., North Carolina State Univ., Raleigh, N.C.
16.
Mirza, S. M., and Houde, J. (1979). “Study of bond stress‐slip relationships in reinforced concrete.” J. Amer. Concr. Inst., 76(1), 19–46.
17.
Murakami, H., and Hegemier, G. A. (1986). “On simulating steel‐concrete interaction in reinforced concrete, part I: Theoretical development.” Mech. of Matls., 5(2), 71–185.
18.
Nilson, A. H. (1971). “Bond stress‐slip relations in reinforced concrete.” Report No. 345, Dept. of Struct. Engrg., Cornell Univ., Ithaca, N.Y.
19.
Rizkalla, S. H., and Hwang, L. S. (1984). “Crack prediction for members in uniaxial tension.” J. Amer. Concr. Inst., 81(6), 572–579.
20.
Scanlon, A., and Murray, D. W. (1974). “Time dependent reinforced concrete slab deflections.” J. Struct. Div., ASCE, 100(9), 1911–1924.
21.
Somayaji, S. (1979). “Composite response, bond stress‐slip relationships and cracking in ferrocement and reinforced concrete.” Thesis presented to the University of Illinois, at Chicago, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
22.
Somayaji, S., and Shah, S. P. (1981). “Bond stress versus slip relationships and cracking response of tension members.” J. Amer. Concr. Inst., 78(3), 217–225.
23.
Tassios, T. P., Yannopoulos, P. J. (1981). “Analytical studies on reinforced concrete members under cyclic loading based on bond stress‐slip relationships.” J. Amer. Conc. Inst., 78(3), 206–216.
24.
Tepfers, R. (1979). “Cracking of concrete cover along anchored deformed reinforcing bars.” Concr. Res., 31(106), 3–12.
25.
Tepfers, R. (1980). “Bond stress along lapped reinforcing bars.” Concr. Res., 32(112), 135–142.
26.
Yankelevsky, D. Z. (1985). “Bond action between concrete and a deformed bar—A new model.” J. Amer. Concr. Inst., 82(2), 154–161.
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Copyright © 1990 ASCE.
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Published online: Mar 1, 1990
Published in print: Mar 1990
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