Stress-Strain Relations for Cracked Tensile Concrete from RC Beam Tests
Publication: Journal of Structural Engineering
Volume 127, Issue 1
Abstract
A method for determining the stress-strain relations for concrete form short-term flexural tests of reinforced concrete members is proposed. The method is based on the smeared crack approach. Average stress-strain relations for concrete in tension (including the descending branch) and in compression are computed from experimental moment-average strain and/or moment-curvature curves. Computation of stress-strain relations is performed incrementally for the extreme surface fibers, and is based on a novel idea of using the previously computed portions of the stress-strain relations at each load increment to compute the current increments of the stress-strain relations. The proposed method has been applied to some experimental data reported in the literature. Average stress-strain curves for concrete in tension, where cracking, bond, and shrinkage effects were taken into account in an integrated manner, have been computed for beams with various depths, reinforcement ratios, and rebar diameters. These and other parameters affecting the shape of the stress-strain curves (or tension stiffening effect) have been discussed.
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References
1.
American Concrete Institute (ACI). ( 1990). “Prediction of creep, shrinkage, and temperature effects in concrete structures.” ACI manual of concrete practice, Part I, ACI Committee 209, Detroit.
2.
Bazant, Z. P. ( 1972). “Prediction of concrete creep effects using age-adjusted effective modulus method.” J. Am. Concrete Inst., 69(4), 212–217.
3.
Bazant, Z. P., and Oh, B. ( 1984). “Deformation of progressively cracking reinforced cracking reinforced concrete beams.” ACI J., 81(3), 268–278.
4.
Careira, D. J., and Chu, K.-H. ( 1986). “Stress-strain relationship of reinforced concrete in tension.” ACI J., 83(1), 21–28.
5.
Clark, L. A., and Cranston, W. B. ( 1979). “The influence of bar spacing on tension stiffening in reinforced concrete slabs.” Proc., Int. Conf. on Concrete Slabs, 118–128.
6.
Clark, L. A., and Speirs, D. M. ( 1978). “Tension stiffening in reinforced concrete beams and slabs under short-term load.” Tech. Rep. No. 42.521, Cement and Concrete Association, London.
7.
Cope, R. J. ( 1986). “Nonlinear analysis of reinforced concrete slabs.” Computer modelling of RC structures, Pineridge, Swansea, U.K., 3–43.
8.
Damjanic, F., and Owen, D. R. J. ( 1984). “Practical considerations for modelling of post-cracking concrete behaviour for finite-element analysis of reinforced concrete structures.” Proc., Int. Conf. on Comp.-Aided Anal. and Des. of Concrete Struct., Pineridge, Swansea, U.K., 693–706.
9.
Eurocode 2. (1992). “Design of concrete structures, part 1: General rules and rules for buildings.” Brussels.
10.
Figarovskij, V. V. ( 1962). “Experimental investigation of stiffness and cracking of reinforced concrete flexural members subjected to short-term and long-term loading.” PhD thesis, University of Moscow (in Russian).
11.
Gilbert, R. I. ( 1988). Time effects in concrete structures, Elsevier Science, Amsterdam.
12.
Gilbert, R. I., and Warner, R. F. (1978). “Tension stiffening in reinforced concrete slabs.”J. Struct. Div., ASCE, 104(12), 1885–1900.
13.
Ghaboussi, J., Garrett, J. H., Jr. and Wu, X. (1991). “Knowledge-based modeling of material behavior with neural networks.”J. Engrg. Mech., ASCE, 117(1), 132–153.
14.
Ghaboussi, J., Pecknold, D. A., Zhang, M., and HajAli, R. M. ( 1996). “Neural network constitutive models determined from structural tests.” Proc., 11th ASCE Engrg. Mech. Conf., ASCE, New York, 701–704.
15.
Ghaboussi, J., and Sidarta, D. E. ( 1998). “New nested adaptive neural networks (NANN) for constitutive modeling.” Int. J. of Comp. and Geotechnics, 22(1), 29–52.
16.
Hilleborg, A. ( 1982). “The influence of tensile toughness of concrete on the behaviour of reinforced concrete structures.” Proc., 9th FIP Congr., Federation Internationale de la Precontrainte, 157–164.
17.
Jokubatis, V. ( 1967). “Regular and accidental crack influence on deflections of reinforced concrete beams subjected to short-term loading.” PhD thesis, Kaunas Politechnical Institute, Lithuania (in Lithuanian).
18.
Kaklauskas, G. ( 1999). “Universal constitutive model for flexural reinforced concrete members.” Rep. No. A-329, Lithuanian State Science and Studies Foundation, Vilnius, Lithuania.
19.
Kaklauskas, G., Ghaboussi, J., and Hawkins, N. M. ( 1997). “Determination of stress-strain curves for concrete from RC beam tests.” Proc., 5th Int. Conf. Modern Build. Mat. and Techniques, 128–145.
20.
Kaklauskas, G., Ghaboussi, J., and Wu, X. ( 1998). “Neural network modelling of tension stiffening effect for R/C flexural members.” Proc., Euro-C 1998 Conf. on Comp. Modelling of Concrete Struct., Balkema, Rotterdam, The Netherlands, 823–832.
21.
MATLAB: Version 4. (1995). The MathWorks Inc., Prentice-Hall, Englewood Cliffs. N.J.
22.
Mörsch, E. ( 1909). Concrete-steel construction, McGraw-Hill New York
23.
Prakhya, G. K. V., and Morley, C. T. ( 1990). “Tension stiffening and moment-curvature relations for reinforced concrete elements.” ACI Struct. J., 87(5), 597–605.
24.
Prentis, J. M. ( 1951). “Distribution of concrete stress in reinforced and prestressed concrete beams when tested to destruction by a pure bending moment.” Mag. of Concrete Res., 2(5), 73–77.
25.
Schnobrich, W. C. ( 1985). “The role of finite-element analysis of reinforced concrete structures.” Proc. of Seminar Sponsored by Japan Soc. for Promotion of Sci. and U.S. Nat. Sci. Found., ASCE, New York, 1–24.
26.
Williams, A. ( 1986). “Tests on large reinforced concrete elements subjected to direct tension.” Tech. Rep. No. 42.562, Cement and Concrete Association, London.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 127 • Issue 1 • January 2001
Pages: 64 - 73
History
Received: Jun 14, 1999
Published online: Jan 1, 2001
Published in print: Jan 2001
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