Structural Engineering and Mechanics

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Post-peak behavior and flexural ductility of doubly reinforced normal- and high-strength concrete beams

  • Pam, H.J. (Department of Civil Engineering, The University of Hong Kong) ;
  • Kwan, A.K.H. (Department of Civil Engineering, The University of Hong Kong) ;
  • Ho, J.C.M. (Department of Civil Engineering, The University of Hong Kong)
  • Published : 2001.11.25
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Abstract

The complete moment-curvature curves of doubly reinforced concrete beams made of normal- or high-strength concrete have been evaluated using a newly developed analytical method that takes into account the stress-path dependence of the constitutive properties of the materials. From the moment-curvature curves and the strain distribution results obtained, the post-peak behavior and flexural ductility of doubly reinforced normal- and high-strength concrete beam sections are studied. It is found that the major factors affecting the flexural ductility of reinforced concrete beam sections are the tension steel ratio, compression steel ratio and concrete grade. Generally, the flexural ductility decreases as the amount of tension reinforcement increases, but increases as the amount of compression reinforcement increases. However, the effect of the concrete grade on flexural ductility is fairly complicated, as will be explained in the paper. Quantitative analysis of such effects has been carried out and a formula for direct evaluation of the flexural ductility of doubly reinforced concrete sections developed. The formula should be useful for the ductility design of doubly reinforced normal- and high-strength concrete beams.

Keywords

References

  1. ACI Committee 363 (1992), "State-of-the-art report on high strength concrete", ACI 363-R92, American Concrete Institute, Detroit, U.S.A., 55pp.
  2. Attard, M.M., and Setunge, S. (1996), "The stress strain relationship of confined and unconfined concrete", ACI Mater. J., 93(5), 432-442.
  3. Attard, M.M., and Stewart, M.G. (1998), "A two parameter stress block for high-strength concrete", ACI Struct. J., 95(3), 305-317.
  4. Carreira, D.J., and Chu, K.H. (1986), "The moment-curvature relationship of reinforced concrete members", ACI J., 83(2), 191-198.
  5. Ho, J.C.M., Pam, H.J., and Kwan, A.K.H. (2001), "Theoretical analysis of complete moment-curvature behavior of reinforced high-strength concrete beams", Eng. Struct. (to be published).
  6. Pam, H.J., Kwan, A.K.H., and Islam, M.S. (2001), "Flexural strength and ductility of reinforced normal- and high-strength concrete beams", Proc., Institution of Civil Engineers, Structures and Buildings (to be published).
  7. Park, R., and Paulay, T. (1975), Reinforced Concrete Structures, John Wiley & Sons, New York, U.S.A., 769pp.
  8. Samra, R.M., Deeb, N.A.A., and Madi, U.R. (1996), "Transverse steel content in spiral concrete columns subjected to eccentric loading", ACI Struct. J., 93(4), 412-419.
  9. Sheikh, S.A., and Yeh, C.C. (1997), "Analytical moment-curvature relations for tied concrete columns", J. Struct. Eng., ASCE, 118(2), 529-544.

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