DOI QR코드

DOI QR Code

Geometrically nonlinear analysis of plane frames with semi-rigid connections accounting for shear deformations

  • Gorgun, H. (Department of Civil Engineering, Dicle University) ;
  • Yilmaz, S. (Department of Civil Engineering, Dicle University)
  • Received : 2012.06.27
  • Accepted : 2012.10.27
  • Published : 2012.11.25

Abstract

The behaviour of beam-to-column connections plays an important role in the analysis and design of steel structures. A computer-based method is presented for nonlinear steel frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix, and the fixed end forces for various loads were found. The nonlinear analysis method is applied for three planar steel structures. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks.

Keywords

References

  1. Akkaya, F. (1991), "A computer program for the analysis of flexibly connected frames", Cukurova Univ. J. Fac. Eng. Arch., 6(2), 25-41.
  2. Aksogan, O. and Gorgun, H. (1993), "The nonlinear analysis of planar frames composed of flexibly connected members", Cukurova Univ. J. Fac. Eng. Arch., 8(2), 117-129.
  3. Al-Sarraf, S.Z. (1986), "Shear effect on the elastic stability of frames", Struct. Eng., 64B(2), 43-47.
  4. Aristizabal-Ochoa, D.J. (2007), "Large deflection and postbuckling behavior of Timoshenko beam-columns with semi-rigid connections including shear and axial effects", Eng. Struct., 29, 991-1003. https://doi.org/10.1016/j.engstruct.2006.07.012
  5. Aristizabal-Ochoa, D.J. (2012), "Matrix method for stability and second-order analysis of Timoshenko beamcolumn structures with semi-rigid connections", Eng. Struct., 34, 289-302. https://doi.org/10.1016/j.engstruct.2011.09.010
  6. Chen, W.F. and Lui, E.M. (1991), Stability Design of Steel Frames, CRC Press, Boca Raton, Florida.
  7. Dincer, R. (1991), "Nonlinear analysis of planar frames with linear prismatic members having rigid end sections taking shear deformation into consideration", Cukurova Univ. J. Fac. Eng. Arch., 6(1), 125-137.
  8. Davisson, J.B., Kirby, P.A. and Nethercot, D.A. (1987), "Rotational stiffness characteristics of steel beam-tocolumn connections", J. Constr. Steel Res., 8, 17-54. https://doi.org/10.1016/0143-974X(87)90052-6
  9. Dhillon, B.S. and Abdel-Majid, S. (1990), "Interactive analysis and design of flexibility connected frames", J. Comput. Struct., 36(2), 189-202. https://doi.org/10.1016/0045-7949(90)90118-L
  10. Frye, M.J. and Morris, G.A. (1975), "Analysis of flexibly connected steel frames", Can. J. Civil. Eng., 2(3), 280- 291. https://doi.org/10.1139/l75-026
  11. Jones, S.W., Kirby, P.A. and Nethercot, D.A. (1983), "The analysis of frames with semi-rigid connections-a state of the art report", J. Constr. Steel Res., 3(2), 2-13. https://doi.org/10.1016/0143-974X(83)90017-2
  12. Liu, Y., Xu, L. and Grierson, D.E. (2008), "Compound-element modeling accounting for semi-rigid connections and member plasticity", Eng. Struct., 30, 1292-1307. https://doi.org/10.1016/j.engstruct.2007.07.026
  13. Liu, Y. (2009), "Hybrid-member stiffness matrix accounting for geometrical nonlinearity and member inelasticity in semi-rigid frameworks", Eng. Struct., 31, 2880-2895. https://doi.org/10.1016/j.engstruct.2009.07.014
  14. Livesley, R.K. and Chandler, D.B. (1956), Stability Functions for Structural Frameworks, Manchester University Press, Manchester.
  15. Majid, K.I. (1972), Non-linear Structures, Butterworths, London.
  16. Monforton, G.R. and Wu, T.S. (1963), "Matrix analysis of semi-rigidly connected frames", ASCE J. Struct. Div., 89(ST6), 13-42.
  17. Moree, D.B., Nethercot, D.A. and Kirby, P.A. (1993), "Testing steel frames at full scale: appraisal of results and implications for design", Struct. Eng., 71, 428-435.
  18. Mottram, J.T. and Aberle, M. (2002), "When should shear-flexible stability functions be used in elastic structural analysis?", Proceedings of the Inst. Civil Eng.: Struct. Build., 152(1), 31-40. https://doi.org/10.1680/stbu.2002.152.1.31
  19. Mottram, J.T. (2008), "Stability analysis for pitched portal frames of fibre reinforced polymer", Proceedings of the 4th International Conference on FRP Composites in Civil Engineering (CICE 2008), Empa, Dubendorf.
  20. Nethercot, D.A. (1985), Steel Beam-to-column Connections-a Review of Test Data, London, CIRIA.
  21. Romstad, K.M. and Subramanian, C.V. (1970), "Analysis of frames with partial connection rigidity", ASCE J. Struct. Eng., 96(ST11), 2283-2300.
  22. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability, 2nd Ed., McGraw-Hill, New York.
  23. Wu, F.S. and Chen, W.F. (1990), "A design model for semi-rigid connections", Eng. Struct., 12(2), 88-97. https://doi.org/10.1016/0141-0296(90)90013-I
  24. Xu, L., Liu, Y. and Grierson, D.E. (2005), "Nonlinear analysis of steel frameworks through direct modification of member stiffness properties", Adv. Eng. Softw., 36, 312-324. https://doi.org/10.1016/j.advengsoft.2004.10.010

Cited by

  1. Geometrically nonlinear analysis of plane frames composed of flexibly connected members vol.45, pp.3, 2013, https://doi.org/10.12989/sem.2013.45.3.277
  2. Adopting flexibility of the end-plate connections in steel moment frames vol.18, pp.5, 2015, https://doi.org/10.12989/scs.2015.18.5.1215
  3. Optimum design of steel frames with semi-rigid connections using Big Bang-Big Crunch method vol.14, pp.5, 2013, https://doi.org/10.12989/scs.2013.14.5.431
  4. Optimum design of composite steel frames with semi-rigid connections and column bases via genetic algorithm vol.19, pp.4, 2015, https://doi.org/10.12989/scs.2015.19.4.1035
  5. Comprehensive evaluation of structural geometrical nonlinear solution techniques Part I: Formulation and characteristics of the methods vol.48, pp.6, 2013, https://doi.org/10.12989/sem.2013.48.6.849
  6. Comprehensive evaluation of structural geometrical nonlinear solution techniques Part II: Comparing efficiencies of the methods vol.48, pp.6, 2013, https://doi.org/10.12989/sem.2013.48.6.879
  7. Optimum design of steel frames with semi-rigid connections and composite beams vol.55, pp.2, 2015, https://doi.org/10.12989/sem.2015.55.2.299
  8. The stability of semi-rigid skeletal structures accounting for shear deformations vol.57, pp.6, 2016, https://doi.org/10.12989/sem.2016.57.6.1065
  9. Three-dimensional numerical and linearly distributed multi-parameter fitted analytical modeling of hybrid beam–column with partially welded flush end-plate connection vol.21, pp.12, 2018, https://doi.org/10.1177/1369433218754698
  10. An experimental study of the behaviour of double sided welded plate connections in precast concrete frames vol.29, pp.1, 2012, https://doi.org/10.12989/scs.2018.29.1.001
  11. Probability-based structural response of steel beams and frames with uncertain semi-rigid connections vol.67, pp.5, 2012, https://doi.org/10.12989/sem.2018.67.5.439