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Cracking in reinforced concrete flexural members - A reliability model

  • Rao, K. Balaji (Structural Engineering Research Centre, CSIR Campus) ;
  • Rao, T.V.S.R. Appa (Structural Engineering Research Centre, CSIR Campus)
  • Published : 1999.03.25

Abstract

Cracking of reinforced concrete flexural members is a highly random phenomenon. In this paper reliability models are presented to determine the probabilities of failure of flexural members against the limit states of first crack and maximum crackwidth. The models proposed take into account the mechanism of cracking. Based on the reliability models discussed, Eqs. (8) and (9) useful in the reliability-based design of flexural members are presented.

Keywords

References

  1. Ang, A.H.-S. and W.H. Tang, (1975), Probability Concepts in Engineering Planning and Design, 1, John Wiley and Sons.
  2. Ang, A.H.-S. and W.H. Tang, (1984), Probability Concepts in Engineering Planning and Design, 2, John Wiley and Sons.
  3. Rao, K.B. and T.V.S.R.A. Rao, (1995), "Reliability of reinforced concrete beams against first crack in flexure", Journal of Structural Engineering, SERC, Madras, 22(3), 145-152.
  4. Bazant, Z.P and B.H. Oh, (1983), "Spacing of cracks in reinforced concrete", Journal of Structural Engineering, ASCE, 109(9), 2066-2085. https://doi.org/10.1061/(ASCE)0733-9445(1983)109:9(2066)
  5. Beeby, A.W., (1971), "The prediction and control of flexural cracking in reinforced members", Paper No.SP30-3, ACI Special Publication on 'Cracldng, Deflection and Ultimate Load of Concrete Slab Systems', SP30, American Concrete Institute. 5-75.
  6. Desayi, P and K. Balaji Rao, (1987), "Probabilistic analysis of cracking of RC beams", Materials and Structures, Research and Testing (RILEM, Paris), 20(120), 408-417. https://doi.org/10.1007/BF02472491
  7. Desayi, P and K. Balaji Rao, (1989), "Probabilistic analysis of cracking moment of reinforced concrete beams", ACI Structural Journal, 86(3), 235-241.
  8. Desayi, P and K. Balaji Rao, (1995), "Comments on the estimation of crackwidths", Proc. of National Workshop on Codes of practice for RC structures, held at Hyderabad, India, 217-222.
  9. Desayi, P and N. Ganesan, (1985), "An investigation on spacing of cracks and maximum crackwidth in reinforced concrete flexural members", Materials and Structures, Research and Testing (RILEM, Paris), 18(104), 123-133. https://doi.org/10.1007/BF02473379
  10. Ditlevsen, O and Madsen, H.O., (1996), Structural Reliability Methods, John Wiley and Sons.
  11. Gergely, P. and L.P. Lutz, (1968), "Maximum crackwidth in reinforced concrete flexural members", ACI Special Publication on 'Causes, Mechanism and Control of Cracldng in Concrete', SP-20, ACI, 87-117.
  12. Mague, C. and M. Kachanov, (1994), "Effective elastic properties of an anisotropic material with arbitrarily oriented interacting cracks" , Journal of the Mechanics and Physics of Solids, 42(4), 561-584. https://doi.org/10.1016/0022-5096(94)90052-3
  13. Nawy, E.G. (1968), "Crack control in reinforced concrete structures", ACI Journal, American Concrete Institute, Proc. 65(10), 825-836.
  14. Nilson, A.H and G. Winter, (1986), Design of Concerte Structures, Tenth Editiion, McGraw-Hill Book Company.
  15. Oh, B.H. and Y.J. Kang, (1987), "New formulas for maximum crackwidth and crack spacing in reinforced concrete flexural members", ACI Structural Journal, American Concrete Institute, 84(2), 103-112.
  16. Park, R. and T. Paulay, (1975), Reinforced Concrete Structures, John Wiley and Sons, A Wiley-nterScience Publication.
  17. Reinforced concrete engineering, (1974), 1, Materials, Structural Elements, Safety, Edited by Bresler, B., John Wiley and Sons.
  18. Thoft-Christensen, P. and M.J. Baker, (1982), Structural Reliability Theory and Its Applications, Springer-Verlag, Berlin.
  19. Wolfel, E. (1995), "European Codes and Standards", in Concrete Structures Euro-Design Hand Book, Ernst and Sohn Verlag, Berlin, 515-755.

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