DOI QR코드

DOI QR Code

Parametric analysis and torsion design charts for 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) ;
  • Gama, Jorge M.R. (Departments of Mathematics, University of Beira Interior, Center of Mathematics)
  • Received : 2013.02.25
  • Accepted : 2014.05.09
  • Published : 2015.07.10

Abstract

This article presents a theoretical parametric analysis on the ultimate torsional behaviour of axially restrained reinforced concrete (RC) beams. This analysis is performed by using a computing procedure based on a modification of the Variable Angle Truss Model. This computing procedure was previously developed 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 members. The presented parametric study aims to check the influence of some important variable studies, namely: torsional reinforcement ratio, compressive concrete strength and axial restraint level. From the results of this parametric study, nonlinear regression analyses are performed and some design charts are proposed. Such charts allow to correct the resistance torque of RC beams (rectangular sections with small height to width ratios) to account for the favorable influence of the axial restraint.

Keywords

References

  1. Andrade, A.M., Bernardo, L.F.A. and Lopes, S.M.R. (2011), "TORQUE_MTEAV: Computing tool 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. (2008), "Behaviour of concrete beams under torsion - NSC plain and hollow beams", Mater. Struct., 41(6), 1143-1167. https://doi.org/10.1617/s11527-007-9315-0
  4. 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.
  5. Bernardo, L.F.A. and Lopes, S.M.R. (2011), "Theoretical behaviour of HSC sections under torsion", Eng. Struct., 33(12), 3702-3714. https://doi.org/10.1016/j.engstruct.2011.08.007
  6. Bernardo, L.F.A., Andrade, J.M.A. and Lopes, S.M.R. (2012), "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
  7. Bernardo, L.F.A., Taborda, C.S.B. and Andrade, J.M.A. (2014), "Ultimate torsional behaviour of axially restrained RC beams", Comput. Concrete. (in review)
  8. Belarbi, A. and Hsu, T.C. (1991) "Constitutive laws of softened concrete in biaxial tension-compression", Research Report UHCEE 91-2, Univ. of Houston, Houston, Texas.
  9. Belarbi, A. and Hsu T.C. (1994) "Constitutive laws of concrete in tension and reinforcing bars stiffened by concrete", Struct. J. Am. Concrete Inst., 91(4), 465-474.
  10. Belarbi, A., Prakashm 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
  11. Cevik, A., Arslan, M.H. and Saracoglu, R. (2012), "Neuro-fuzzy modeling of resistance torque of RC beams", Comput. Concrete, 9(6), 469-486. https://doi.org/10.12989/cac.2012.9.6.469
  12. Comite Euro-International du Beton (CEB) (1990), CEB-FIP MODEL CODE 1990.
  13. Hsu, T.T.C. (1968), "Torsion of structural concrete - behaviour of reinforced concrete rectangular members", Torsion of Structural Concrete, ACI SP-18:261-306.
  14. Hsu, T.T.C. (1984), Torsion of Reinforced Concrete, Van Nostrand Reinhold Company.
  15. Hsu, T.T.C. and Mo, Y.L. (1985), "Softening of concrete in torsional members - theory and tests", ACI J. Proc., 82(3), 290-303.
  16. IBM SPSS Statistics 19 Core System, User's Guide.
  17. Jeng, C.H. and Hsu, T.T.C. (2009), "A softened membrane model for torsion in reinforced concrete members", Eng. Struct., 31(9), 1944-54. https://doi.org/10.1016/j.engstruct.2009.02.038
  18. Leu, L.J. and Lee, Y.S. (2000), "Torsion design charts for reinforced concrete rectangular members", J. Struct. Eng., 210-218.
  19. NP EN 1992-1-1 (2010), Eurocode 2: Design of Concrete Structures - Part 1: General Rules and Rules for Buildings.
  20. 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)
  21. 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
  22. Venable, W.N., Smith, D.M. and Team, R.C. (2012), An Introduction to R., Version 2.15.1.
  23. 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)

Cited by

  1. Generalized Softened Variable Angle Truss Model for PC Beams under Torsion vol.12, pp.1, 2018, https://doi.org/10.1186/s40069-018-0285-0
  2. Prestressed concrete beams under torsion-extension of the VATM and evaluation of constitutive relationships vol.61, pp.5, 2017, https://doi.org/10.12989/sem.2017.61.5.577
  3. Effective torsional strength of axially restricted RC beams vol.67, pp.5, 2015, https://doi.org/10.12989/sem.2018.67.5.465
  4. Test on pure torsion behavior of channel steel reinforced concrete beams vol.44, pp.None, 2015, https://doi.org/10.1016/j.jobe.2021.102967