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Analytical model for flexural and shear strength of normal and high-strength concrete beams

  • Received : 2020.07.04
  • Accepted : 2021.03.17
  • Published : 2021.04.25

Abstract

In the present paper, an analytical model is proposed to determine the flexural and shear strength of normal and high-strength reinforced concrete beams with longitudinal bars, in the presence of transverse stirrups. The model is based on evaluation of the resistance contribution due to beam and arch actions including interaction with stirrups. For the resistance contribution of the main bars in tension the residual bond adherence of steel bars, including the effect of stirrups and the crack spacing of R.C. beams, is considered. The compressive strength of the compressed arch is also verified by taking into account the biaxial state of stresses. The model was verified on the basis of experimental data available in the literature and it is able to include the following variables in the resistance provision: - geometrical percentage of steel bars; - depth-to-shear span ratio; - resistance of materials; - crack spacing; - tensile stress in main bars; - residual bond resistance including the presence of stirrups;- size effects. Finally, some of the more recent analytical expressions able to predict shear and flexural resistance of concrete beams are mentioned and a comparison is made with experimental data.

Keywords

References

  1. ACI Committee 318 (2008), Building Code Requirements for Structural Concrete and Commentary, American Concrete Institute, Framington Hills, MI 48333, USA.
  2. Ahmad, S.H. and Lue, D.M. (1987), "Flexural-shear interaction of reinforced high strength concrete beams", Struct. J., 84(4), 330-341.
  3. Ahmad, S.H. and Shah, S.P. (1985), "Behaviour of hoop confined concrete under high strain rates", ACI Mater. J., 82(5), 634-647.
  4. Arsaln, G. (2008), "Shear strength of reinforced concrete beams with stirrups", Mater. Struct., 41, 113-122. https://doi.org/10.1617/s11527-007-9223-3.
  5. Bae, S. and Bayrak, O. (2003), "Stress block parameters for high-strength concrete members", ACI Struct. J., 100(5), 626-636.
  6. Bazant, Z.P. and Kim, J.K. (1984), "Size effect in shear failure of longitudinally reinforced beams", ACI Struct. J., 81(5), 456-468.
  7. Bentz, E.C. and Collins, M.P. (2006), "Simplified form of the modified compression field theory (MCFT) for the analysis of beams", Proceedings of the Second Int. Conf. Fib, Naples, Italy, June.
  8. Bernardo, L.F.A. and Lopes, S.M.R. (2004), "Neutral axis depth versus-flexural ductility in high strength concrete beams", ASCE J. Struct. Eng., 130(3), 425-459. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:3(452).
  9. Campione, G. (2008), "Compressive behaviour of short fibrous reinforced concrete members with swore cross-section", Struct. Eng. Mech., 37(6), 649-669. http://dx.doi.org/10.12989/sem.2011.37.6.649.
  10. Campione, G., Monaco, A. and Minafo, G. (2014), "Shear strength of high-strength concrete beams: modelling and design recommendations", Eng. Struct., 69, 116-122. https://doi.org/10.1016/j.engstruct.2014.02.029.
  11. Canadian Standards Association (2004), CAN CSA A23.3-04 Design of Concrete Structures, CSA, Rexdale, Ontario.
  12. Chunmin, D. and Leping, N. (2011), "A general shear strength method for reinforced concrete beams", Proceedings of the International Conference on Electric Technology and Civil Engineering - ICETCE, April.
  13. Elzanaty, A.H., Nilson, A.H. and Slate, F.O. (1986), "Shear capacity of reinforced concrete beams using high strength concrete", ACI Struct. J., 83(2), 290-296.
  14. Eurocode 2 (2005), Design of Concrete Structures-Part 1: General Rules and Rules for Buildings, European Committee for Standardization (CEN).
  15. Hong, S.G. and Ha, T. (2012), "Effective capacity of diagonal strut for shear strength of reinforced concrete beams without shear reinforcement", ACI Struct. J., 109(2), 139-148.
  16. Jang, I.Y., Park, H.G., Kim, S.S. and Kim, Y.G. (2008), "On the ductility of high-strength concrete beams", Int. J. Concrete Struct. Mater., 2(2), 115-122. https://doi.org/10.4334/IJCSM.2008.2.2.115.
  17. Kunthia, M. and Stajadinovic, B. (2001), "Shear strength of reinforced concrete beams without transverse reinforcement", ACI Struct. J., 98(5), 648-656.
  18. Kunthia, M., Stojadinovic, B. and Goel, S.C. (1999), "Shear resistance of normal and high-resistance fiber reinforced concrete beams without stirrups", ACI Struct. J., 965(2), 282-289.
  19. Mphonde, A.G. and Frantz, G.C. (1986), "Shear tests of high and low strength concrete beams without stirrups", ACI Struct. J., 81(4), 350-357.
  20. Pam, H.J., Kwan, A.K. and Islam, M.S. (2001), "Flexural strength and ductility of reinforced normal and high strength concrete beams", Struct. Build., 146(4), 381-389. https://doi.org/10.1680/stbu.2001.146.4.381.
  21. Razvi, R. and Saatcioglu, M. (1999), "Confinement model for high-strength concrete", ASCE Struct. J., 15(3), 281-289. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:3(281).
  22. Rodrigues, J., Ortega, J. and Casal, J. (1995), "Load carrying capacity of concrete structures with corroded reinforcements", Ed. M. Forde, 4th Int. Conf. on Structures Faults and Repairs, Engineering Tech., Edinburg, UK.
  23. Russo, G., Mitri, D. and Pauletta, M. (2013), "Shear strength design formula for RC beams with stirrups", Eng. Struct., 51, 226-235. https://doi.org/10.1016/j.engstruct.2013.01.024.
  24. SIA 262 (2003), Concrete Structures, Code, Swiss Society of Engineers and Architects, Zurich.
  25. Yoon, Y.S., Cook, W.D. and Mitchell, D. (1996), "Minimum shear reinforcement in normal, medium, and high strength concrete beams", ACI Struct. J., 93(5), 576-584.
  26. Zararis, P.D. (2003), "Shear strength and minimum shear reinforcement of reinforced concrete slender beams", ACI Struct. J., 100(2), 203-214.
  27. Zsutty, T.C. (1968), "Beam shear strength prediction by analysis of existing data", ACI Struct. J., 65(11), 943-951.