Computers and Concrete

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Ultimate torsional behaviour of axially restrained RC beams

  • Bernardo, Luis F.A. (Department of Civil Engineering and Architecture, Centre of Materials and Building Technologies (C-made), University of Beira Interior) ;
  • Taborda, Catia S.B. (Department of Civil Engineering and Architecture, Centre of Materials and Building Technologies (C-made), University of Beira Interior) ;
  • Andrade, Jorge M.A. (Department of Civil Engineering and Architecture, Centre of Materials and Building Technologies (C-made), University of Beira Interior)
  • Received : 2012.12.12
  • Accepted : 2015.07.07
  • Published : 2015.07.25
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Abstract

This article presents a computing procedure developed to predict the torsional strength of axially restrained reinforced concrete beams. This computing procedure is based on a modification of the Variable Angle Truss Model to account for the influence of the longitudinal compressive stress state due to the axial restraint conditions provided by the connections of the beams to other structural elements. Theoretical predictions from the proposed model are compared with some experimental results available in the literature and also with some numerical results from a three-dimensional nonlinear finite element analysis. It is shown that the proposed computing procedure gives reliable predictions for the ultimate behaviour, namely the torsional strength, of axially restrained reinforced concrete beams under torsion.

Keywords

References

  1. Andrade, A.M., Bernardo, L.F.A. and Lopes, S.M.R. (2011), "TORQUE_MTEAV: ComputingTool to Evaluate the Ultimate Behaviour of Reinforced and Prestressed Concrete Beams in Torsion", Proceedings of the International Conference on Recent Advances in Nonlinear Models - Structural Concrete Aplications (CoRAN 2011), Coimbra, Portugal, November.
  2. Bernardo, L.F.A. (2003), Torsion in Reinforced High-Strength Concrete Hollow Beams., Ph.D. Thesis, University of Coimbra, Portugal. (in Portuguese)
  3. Bernardo, L.F.A. and Lopes, S.M.R. (2009), "Torsion in HSC hollow beams: strength and ductility analysis", ACI. Struct. J., 106(1), 39-48.
  4. Bernardo, L.F.A., Andrade, J.M.A. and Lopes, S.M.R. (2012a), "Softened truss model for reinforced NSC and HSC beams under torsion: a comparative study", Eng. Struct., 42, 278-296. https://doi.org/10.1016/j.engstruct.2012.04.036
  5. Bernardo, L.F.A., Andrade, J.M.A. and Lopes, S.M.R. (2012b), "Modified variable angle truss-model for torsion in reinforced concrete beams", Mater. Struct., 45(12), 1877-1902. https://doi.org/10.1617/s11527-012-9876-4
  6. Bernardo, L.F.A., Andrade, J.M.A., Nunes, N.C.G. (2014), "Generalized softened variable angle truss-model for reinforced concrete beams under torsion", Mater. Struct., 48(7), 2169-2193. https://doi.org/10.1617/s11527-014-0301-z
  7. Belarbi, A. and Hsu, T.C. (1991), "Constitutive laws of softened concrete in biaxial tension-compression", Research Report UHCEE 91-2, University of Houston, Houston, Texas.
  8. Belarbi, A. and Hsu T.C. (1994), "Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete", Struct. J. Am. Concrete. Ins., 91(4), 465-474.
  9. Belarbi, A., Prakash S. and You,Y.M. (2009), "Effect of spiral reinforcement on flexural-shear-torsional seismic behavior of reinforced concrete circular bridge columns", Struct. Eng. Mech., 33(2), 137-158. https://doi.org/10.12989/sem.2009.33.2.137
  10. CEB 1990, CEB-FIP MODEL CODE 1990, Comite Euro-International du Beton.
  11. CEB 1995, "Ultimate Limit State Design Models, A State-of-Art Report", Bulletin d'Information $N.^{\circ}$ 223, June.
  12. Cevik, A., Arslan, M.H. and Saracoglu, R. (2012), "Neuro-fuzzy modeling of torsional strength of RC beams", Comput. Concr., 9(6), 469-486. https://doi.org/10.12989/cac.2012.9.6.469
  13. Comite Euro-International du Beton (CEB) (1990), CEB-FIP MODEL CODE 1990.
  14. Fib. 2010. Model Code 2010, First complete draft. Bulletin no 55.
  15. Hsu, T.T.C. (1968), "Torsion of structural concrete - behaviour of reinforced concrete rectangular members", ACI Special Publication, 18, 261-306.
  16. Hsu, T.T.C. (1984), Torsion of Reinforced Concrete, Van Nostrand Reinhold Company.
  17. Hsu, T.T.C. and Mo, Y.L. (1985a), "Softening of concrete in torsional members-theory and tests", ACI. J. Proc., 82(3), 290-303.
  18. Hsu, T.T.C. and Mo, Y.L. (1985b), "Softening of concrete in torsional members - prestressed concrete", ACI. J. Proc., 82(5), 603-615.
  19. Hsu, T.T.C. and Zhu, R.R.H. (2002), "Softened Membrane for Reinforced Concrete Elements in Shear", ACI. Struct. J., 99(4), 460-469.
  20. Hsu, T.T.C. and Zhang, L.X. (1997), "Nonlinear analysis of membrane elements by fixed-angle softened-truss model", ACI. Struct. J., 94(5), 483-492.
  21. Jefferson, A.D. (2003), "Craft - a plastic damage - contact model for concrete. I. Model theory and thermodynamic considerations", Int. J. Solids. Struct., 40(22), 5973-5999. https://doi.org/10.1016/S0020-7683(03)00390-1
  22. Jeng, C.H. and Hsu, T.T.C. (2009), "A softened membrane model for torsion in reinforced concrete members", Eng. Struct., 31(9), 1944-1954. https://doi.org/10.1016/j.engstruct.2009.02.038
  23. Jeng, C.H., Chiu, H.J. and Chen, C.S. (2010), "Modelling the Initial Stresses in Prestressed Concrete Members under Torsion", ASCE Conference Proceedings 369, 162, 1773-1781.
  24. Lou, T., Lopes, A. and Lopes, S. (2011), "Numerical Behaviour axially restricted RC beams", Proceedins of the International Conference on Recent Advances in Nonlinear Models - Structural Concrete Applications.
  25. LUSAS (2010), Lusas Finite Element System, version 14.3. FEA - Finite Element Analysis Ltd. Kingston-upon-Thames. England.
  26. NP EN 1992-1-1 (2010), Eurocode 2: Design of Concrete Structures - Part 1: General Rules and Rules for Buildings.
  27. Ramberg, W. and Osgood, W.R. (1943), Description of stress-strain curves by three parameters, Technical Note No. 902, National Advisory Committee For Aeronautics, Washington DC.
  28. Rausch, E. (1929), Design of Reinforced Concrete in torsion, Ph.D. Thesis, Berlin. (in German).
  29. Taborda, C.S.B. (2012), The Effect of Axial Restraint on the Behaviour of RC Beams under Torsion, Master Thesis, University of Beira Interior, Portugal. (in Portuguese).
  30. Valipour, H.R. and Foster, S.J. (2010), "Nonlinear analysis of 3D reinforced concrete frames: effect of section torsion on the global response", Struct. Eng. Mech., 36(4), 421-445. https://doi.org/10.12989/sem.2010.36.4.421
  31. Waldren, P. (1988), "The significance of warping torsion in the design of straight concrete box girder bridges", Can. J. Civil. Eng., 15(5), 879-889 https://doi.org/10.1139/l88-113
  32. Wang J. (2006), Constitutive Relationships of Prestressed Concrete Membrane Elements, Ph.D. Thesis, University of Houston, TX, USA.
  33. Zhang, L.X. and Hsu, T.T.C. (1998), "Behaviour and Analysis of 100 MPa Concrete Membrane Elements", J. Struct. Eng. - ASCE., 124(1), 24-34. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:1(24)

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