DOI QR코드

DOI QR Code

Distortional buckling calculation method of steel-concrete composite box beam in negative moment area

  • Zhou, Wangbao (School of Civil Engineering and Architecture, Wuhan University of Technology) ;
  • Li, Shujin (School of Civil Engineering and Architecture, Wuhan University of Technology) ;
  • Jiang, Lizhong (School of Civil Engineering, Central South University) ;
  • Huang, Zhi (School of Civil Engineering, Central South University)
  • Received : 2014.11.10
  • Accepted : 2015.04.28
  • Published : 2015.11.25

Abstract

'Distortional buckling' is one of the predominant buckling types that may occur in a steel-concrete composite box beam (SCCBB) under a negative moment. The key factors, which affect the buckling modes, are the torsional and lateral restraints of the bottom plate of a SCCBB. Therefore, this article investigates the equivalent lateral and torsional restraint rigidity of the bottom plate of a SCCBB under a negative moment; the results of which show a linear coupling relationship between the applied forces and the lateral and/or torsional restraint stiffness, which are not depended on the cross-sectional properties of a SCCBB completely. The mathematical formulas for calculating the lateral and torsional restraint rigidity of the bottom plate can be used to estimate: (1) the critical distortional buckling stress of SCCBBs under a negative moment; and (2) the critical distortional moment of SCCBBs. This article develops an improved calculation method for SCCBBs on an elastic foundation, which takes into account the coupling effect between the applied forces and the lateral and/or torsional restraint rigidity of the bottom plate. This article analyzes the accuracy of the following calculation methods by using 24 examples of SCCBBs: (1) the conventional energy method; (2) the improved calculation method, as it has been derived in this article; and (3) the ANSYS finite element method. The results verify that the improved calculation method, as it has been proved in this article, is more accurate and reliable than that of the current energy method, which has been noted in the references.

Keywords

Acknowledgement

Supported by : National Natural Science Function of China, Central Universities of China

References

  1. Atanackovic, T.M. and Guran, A. (2012), Theory of Elasticity for Scientists and Engineers, Springer-Verlag New York Inc., New York, NY, USA.
  2. Bradford, M.A. (1988), "Buckling of elastically restrained beams with web distortions", Thin-Wall. Struct., 6(4), 287-304. https://doi.org/10.1016/0263-8231(88)90005-5
  3. Bradford, M.A. and Gao, Z. (1992), "Distortional buckling solutions for continuous composite beams", J. Struct. Eng., 118(1), 73-89. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:1(73)
  4. Bradford, M.A. and Kemp, A.R. (2000), "Buckling in continuous composite beams", Prog. Struct. Eng. Mater., 2(2), 169-178. https://doi.org/10.1002/1528-2716(200004/06)2:2<169::AID-PSE20>3.0.CO;2-E
  5. British Standards Institution (1982), Code of Practice for Design of Steel Bridge, BS5400: Part 3, London, UK.
  6. Champenoy, D., Corfdir, A. and Corfdir, P. (2014), "Calculating the critical buckling force in compressed bottom flanges of steel-concrete composite bridges", Eur. J. Environ. Civ. Eng., 18(3), 271-292. https://doi.org/10.1080/19648189.2013.872581
  7. Chen, S. (1992), "Instability of composite beams in hogging bending", University of Warwick, Coventry, UK.
  8. Chen, S. (2005), ""Experimental study of prestressed steel-concrete composite beams with external tendons for negative moments", J. Construct. Steel Res., 61(12), 1613-1630. https://doi.org/10.1016/j.jcsr.2005.05.005
  9. Chen, S. and Jia, Y. (2010), "Numerical investigation of inelastic buckling of steel-concrete composite beams prestressed with external tendons", Thin-Wall. Struct., 48(3), 233-242. https://doi.org/10.1016/j.tws.2009.10.009
  10. Chen, W. and Ye, J. (2010), "Elastic lateral and restrained distortional buckling of doubly symmetric I-beams", Int. J. Struct. Stab. Dy., 10(05), 983-1016. https://doi.org/10.1142/S0219455410003865
  11. Gara, F., Ranzi, G. and Leoni, G. (2011), "Simplified method of analysis accounting for shear-lag effects in composite bridge decks", J. Construct. Steel Res., 67(10), 1684-1697. https://doi.org/10.1016/j.jcsr.2011.04.013
  12. Goltermann, P. and Svensson, S. (1988), "Lateral distortional buckling: Predicting elastic critical stress", J. Struct. Eng., 114(7), 1606-1625. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:7(1606)
  13. Ipe, T.V., Bai, H.S., Vani, K.M. and Iqbal, M.M.Z. (2013), "Flexural behavior of cold-formed steel concrete composite beams", Steel Compos. Struct., Int. J., 14(2), 105-120. https://doi.org/10.12989/scs.2013.14.2.105
  14. Jaberzadeh, E., Azhari, M. and Boroomand, B. (2013), "Thermal buckling of functionally graded skew and trapezoidal plates with different boundary conditions using the element-free Galerkin method", Eur. Mech.- A/Solids., 42, 18-26. https://doi.org/10.1016/j.euromechsol.2013.03.006
  15. Jia, Y. and Chen, S. (2009), "Buckling coefficient of steel-concrete composite beams in negative bending", Eng. Mech., 26(11), 121-126.
  16. Jiang, L., Qi, J., Scanlon, A. and Sun, L. (2013), "Distortional and local buckling of steel-concrete composite box-beam", Steel Compos. Struct., Int. J., 14(3), 243-265. https://doi.org/10.12989/scs.2013.14.3.243
  17. Johnson, P.R. and Fan, C.K.R. (1991), "Distortional lateral buckling of continuous composite beams", Proceedings of the ICE-Structures and Buildings, 91(1), 131-161.
  18. Lawson, M.R. and Rackham, W.J. (1989), Design of Haunched Composit e Beams in Buildings, Steel Construction Institution, Ascot.
  19. Li, J., Huo, Q., Li, X., Kong, X. and Wu, W. (2014), "Dynamic stiffness analysis of steel-concrete composite beams", Steel Compos. Struct., Int. J., 16(6), 577-593. https://doi.org/10.12989/scs.2014.16.6.577
  20. Liu, C., Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014), "Buckling and post-buckling of size-dependent piezoelectric Timoshenko nanobeams subject to thermo-electro-mechanical loadings", Int. J. Struct. Stab. Dy., 14(03), 1350067. https://doi.org/10.1142/S0219455413500673
  21. Ruocco, E. and Minutolo, V. (2014), "Buckling analysis of mindlin plates under the green-lagrange strain hypothesis", Int. J. Struct. Stab. Dy., 15(06), 1450079. https://doi.org/10.1142/S0219455414500795
  22. Svensson, S.E. (1985), "Lateral buckling of beams analysed as elastically supported columns subject to a varying axial force", J. Construct. Steel Res., 5(3), 179-193. https://doi.org/10.1016/0143-974X(85)90002-1
  23. Swedish Institute of Steel Construction (1982), Swedish Code for Light-Aauge Metal Structures, Stockholm, Sweden.
  24. Timoshenko, S. (2009), Theory of Elastic Stability, Dover Publications Inc, New York, NY, USA.
  25. Tinh, Q.B. and Minh, N.N. (2013), "Meshfree Galerkin Kriging model for bending and buckling analysis of simply supported laminated composite plates", Int. J. Comp. Meth.-Sing., 10(03), 1350011. https://doi.org/10.1142/S0219876213500114
  26. Tong, G. and Xia, J. (2007), "Buckling of I-sectional steel beams loaded by negative moments", Prog. Steel Build. Struct., 9(1), 46-51.
  27. Wang, D. and Peng, H. (2013), "A Hermite reproducing kernel Galerkin meshfree approach for buckling analysis of thin plates", Comput. Mech., 51(6), 1013-1029. https://doi.org/10.1007/s00466-012-0784-9
  28. Williams, F.W. and Jemah, A.K. (1987), "Buckling curves for elastically supported columns with varying axial force, to predict lateral buckling of beams", J. Constuct. Steel Res., 7(2), 133-147. https://doi.org/10.1016/0143-974X(87)90025-3
  29. Ye, J. and Chen, W. (2013), "Elastic restrained distortional buckling of steel-concrete composite beams based on elastically supported column method", Int. J. Struct. Stab. Dy., 13(1), 1-29. https://doi.org/10.1007/s13296-013-1001-1
  30. Zhou, W., Jiang, L. and Yu, Z. (2012), "The distortional buckling calculation formula of the steel-concrete composite beams in the negative moment region", Chinese J. Computat. Mech., 29(3), 446-450.
  31. Zhou, W., Jiang, L., Kang, J. and Bao, M. (2014), "Distortional buckling analysis of steel-concrete composite girders in negative moment area", Math. Probl. Eng., 2014(1), 1-10.
  32. Zhou, W., Li, S., Jiang, L. and Qin, S. (2015), "Vibration analysis of steel-concrete composite box beams considering shear lag and slip", Math. Probl. Eng., 2015(1), 1-8.

Cited by

  1. Natural vibration analysis of steel–concrete composite box beam using improved finite beam element method 2018, https://doi.org/10.1177/1369433217734638
  2. Study on flexural capacity of simply supported steel-concrete composite beam vol.21, pp.4, 2016, https://doi.org/10.12989/scs.2016.21.4.829
  3. Flexural natural vibration characteristics of composite beam considering shear deformation and interface slip vol.20, pp.5, 2016, https://doi.org/10.12989/scs.2016.20.5.1023
  4. Flexural stiffness of steel-concrete composite beam under positive moment vol.20, pp.6, 2016, https://doi.org/10.12989/scs.2016.20.6.1369
  5. Refined nonlinear finite element modelling towards ultimate bending moment calculation for concrete composite beams under negative moment vol.116, 2017, https://doi.org/10.1016/j.tws.2017.02.011
  6. Investigation on the Structural Behavior of Shear Walls with Steel Truss Coupling Beams under Seismic Loading vol.2018, pp.1687-8442, 2018, https://doi.org/10.1155/2018/5602348
  7. Distortional buckling of cold-formed lipped channel columns subjected to axial compression vol.23, pp.3, 2017, https://doi.org/10.12989/scs.2017.23.3.331
  8. Reliability analysis-based conjugate map of beams reinforced by ZnO nanoparticles using sinusoidal shear deformation theory vol.28, pp.2, 2015, https://doi.org/10.12989/scs.2018.28.2.195
  9. Effect of residual stress and geometric imperfection on the strength of steel box girders vol.34, pp.3, 2015, https://doi.org/10.12989/scs.2020.34.3.423
  10. Analysis of rotational end restraint for cross-beams of railway through truss bridges vol.35, pp.1, 2015, https://doi.org/10.12989/scs.2020.35.1.029