Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear model to predict the torsional response of U-shaped thin-walled RC members

  • Chen, Shenggang (Department of Civil Engineering, Beihang University) ;
  • Ye, Yinghua (Department of Civil Engineering, Beihang University) ;
  • Guo, Quanquan (Department of Civil Engineering, Beihang University) ;
  • Cheng, Shaohong (Department of Civil and Environmental Engineering, University of Windsor) ;
  • Diao, Bo (Department of Civil Engineering, Beihang University)
  • Received : 2016.08.01
  • Accepted : 2016.10.07
  • Published : 2016.12.25
⟨ Previous Next ⟩

Abstract

Based on Vlasov's torsional theory of open thin-walled members and the nonlinear constitutive relations of materials, a nonlinear analysis model to predict response of open thin-walled RC members subjected to pure torsion is proposed in the current study. The variation of the circulatory torsional stiffness and warping torsional stiffness over the entire loading process and the impact of warping shear deformation on the torsion-induced rotation of the member are considered in the formulation. The torque equilibrium differential equation is then solved by Runge-Kutta method. The proposed nonlinear model is then applied to predict the behavior of five U-shaped thin-walled RC members under pure torsion. Four of them were tested in an earlier experimental study by the authors and the testing data of the fifth one were reported in an existing literature. Results show that the analytical predictions based on the proposed model agree well with the experimental data of all five specimens. This clearly shows the validity of the proposed nonlinear model analyzing behavior of U-shaped thin-walled RC members under pure torsion.

Keywords

Acknowledgement

Supported by : Natural Science Fund (NSF), South China University of Technology

References

  1. Aminbaghai, M., Murin, J., Hrabovsky, J. and Mang, H.A. (2016), "Torsional warping eigenmodes including the effect of the secondary torsion moment on the deformations", Eng. Struct., 106, 299-316. https://doi.org/10.1016/j.engstruct.2015.10.022
  2. Bernardo, L., Andrade, J. and Lopes, S. (2012), "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
  3. Bernardo, L.F.A., Andrade, J.M.A. and Nunes, N.C.G. (2015), "Generalized softened variable angle truss-model for reinforced concrete beams under torsion", Materials and Structures, 48(7), 2169-2193. https://doi.org/10.1617/s11527-014-0301-z
  4. Chen, S., Diao, B., Guo, Q., Cheng, S. and Ye, Y. (2016), "Experiments and calculation of U-shaped thin-walled RC members under pure torsion", Eng. Struct., 106, 1-14. https://doi.org/10.1016/j.engstruct.2015.10.019
  5. Collins, M.P. (1973), "Torque-twist characteristics of reinforced concrete beams", Inelast. Nonlin. Struct. Concrete, 211-231.
  6. Erkmen, R.E. and Mohareb, M. (2006), "Torsion analysis of thin-walled beams including shear deformation effects", Thin Wall. Struct., 44(10), 1096-1108. https://doi.org/10.1016/j.tws.2006.10.012
  7. Hsu, T.T. (1973), "Post-cracking torsional rigidity of reinforced concrete sections", ACI J. Proc., 70(5), 352-360.
  8. Hsu, T.T. and Mo, Y.L. (2010), Unified Theory of Concrete Structures, John Wiley & Sons.
  9. Hwang, C.S. and Hsu, T.T. (1983), "Mixed torsion analysis of reinforced concrete channel beams-a fourier series approach", ACI J. Proc., 80(5), 377-386.
  10. Jeng, C.H. and Hsu, T.T. (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
  11. Kollbrunner, C.F. and Basler, K. (2013), Torsion in Structures: an Engineering Approach, Springer Science & Business Media.
  12. Krpan, P. and Collins, M.P. (1981a), "Predicting torsional response of thin-walled open RC members", J. Struct. Div., 107(6), 1107-1127.
  13. Krpan, P. and Collins, M.P. (1981b), "Testing thin-walled open RC structure in torsion", J. Struct. Div., 107(6), 1129-1140.
  14. Luccioni, B., Reimundin, J. and Danesi, R. (1991), "Prestressed concrete I-beams under combined mixed torsion,flexure and shear", ICE Proc., 91(3), 577-592. https://doi.org/10.1680/iicep.1991.15631
  15. Luccioni, B.M., Reimund, J.C. and Danesi, R. (1996), "Thin-walled prestressed concrete members under combined loading", J. Struct. Eng., 122(3), 291-297. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:3(291)
  16. McGuire, W., Gallagher, R.H. and Ziemian, R.D. (2000), Matrix Structural Analysis.
  17. Murin, J. and Kutis, V. (2008), "An effective finite element for torsion of constant cross-sections including warping with secondary torsion moment deformation effect", Eng. Struct., 30(10), 2716-2723. https://doi.org/10.1016/j.engstruct.2008.03.004
  18. Pavazza, R. (2005), "Torsion of thin-walled beams of open cross-section with influence of shear", Int. J. Mech. Sci., 47(7), 1099-1122. https://doi.org/10.1016/j.ijmecsci.2005.02.007
  19. Timoshenko, S.P. (1945), "Theory of bending, torsion and buckling of thin-walled members of open cross section", J. Franklin Inst., 239(4), 249-268. https://doi.org/10.1016/0016-0032(45)90161-X
  20. Vlasov, V.Z. (1984), Thin-walled elastic beams, National Technical Information Service.
  21. Waldron, P. (1986), "Sectorial properties of straight thin-walled beams", Comput. Struct., 24(1), 147-156. https://doi.org/10.1016/0045-7949(86)90344-5
  22. Zbirohowski-Koscia, K. (1968), "Stress analysis of cracked reinforced and prestressed concrete thin-walled beams and shells", Mag. Concrete Res., 20(65), 213-220. https://doi.org/10.1680/macr.1968.20.65.213

Cited by

  1. Parametric Study on Mixed Torsional Behavior of U-Shaped Thin-Walled RC Girders vol.2018, pp.1687-8094, 2018, https://doi.org/10.1155/2018/3497390
  2. Experimental and Analytical Studies of U-Shaped Thin-Walled RC Beams Under Combined Actions of Torsion, Flexure and Shear vol.12, pp.1, 2018, https://doi.org/10.1186/s40069-018-0245-8
  3. Effective torsional strength of axially restricted RC beams vol.67, pp.5, 2016, https://doi.org/10.12989/sem.2018.67.5.465
  4. Experimental and Numerical Evaluation of Clinch Connections of Thin-Walled Building Structures vol.12, pp.14, 2020, https://doi.org/10.3390/su12145691
  5. Torsional behavior of reinforced concrete plates under pure torsion vol.28, pp.3, 2021, https://doi.org/10.12989/cac.2021.28.3.311
  6. Computational analysis of shear deformation effects on open thin-walled beams vol.36, pp.None, 2016, https://doi.org/10.1016/j.istruc.2021.12.047