Structural Engineering and Mechanics

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The stability of semi-rigid skeletal structures accounting for shear deformations

  • Gorgun, Halil (Department of Civil Engineering, Dicle University)
  • Received : 2014.10.24
  • Accepted : 2016.02.04
  • Published : 2016.03.25
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Abstract

The analysis and design of skeletal structures is greatly influenced by the behaviour of beam-to-column connections, where patented designs have led to a wide range of types with differing structural quantities. The behaviour of beam-to-column connections plays an important role in the analysis and design of framed structures. This paper presents an overview of the influence of connection behaviour on structural stability, in the in-plane (bending) mode of sway. A computer-based method is presented for geometrically nonlinear plane frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental modified stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix were found. The critical load has been searched as a suitable load parameter for the loss of stability of the system. Several examples are presented to demonstrate the validity of the analysis procedure. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks. Combined with a parametric column effective length study, connection and frame stiffness are used to propose a method for the analysis of semi-rigid frames where column effective lengths are greatly reduced and second order (deflection induced) bending moments in the column may be distributed via the connectors to the beams, leading to significant economies.

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References

  1. ACI 318-11/318R-11 (2011), Building code requirements for reinforced concrete and commentary, American Concrete Institute, Detroit.
  2. Aksogan, O. and Akkaya, F. (1991), "A computer program for the analysis of flexibly connected frames", Cukurova Univ. J. Fac. Eng. Arch., 6(2), 25-41.
  3. Aksogan, O. and 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.
  4. Aksogan, O. and Gorgun, H. (1992), "The nonlinear analysis of planar frames composed of flexibly connected members", Cukurova Univ. J. Fac. Eng. Arch., 8(2), 117-129.
  5. Al-Sarraf, S.Z. (1986), "Shear effect on the elastic stability of frames", Struct. Eng., 64B(2), 43-47.
  6. 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
  7. Aristizabal-Ochoa, D.J. (2012), "Matrix method for stability and second-order analysis of Timoshenko beam-column structures with semi-rigid connections", Eng. Struct., 34, 289-302. https://doi.org/10.1016/j.engstruct.2011.09.010
  8. BS 8110 (1997), Structural use of concrete, Part 2, Code of Practice for Special Circumstances, British Standards Institute, London.
  9. Chen, W.F. and Lui, E.M. (1991), Stability design of steel frames, CRC Press, Boca Raton, Florida.
  10. 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
  11. Elliott, K.S., Davies, G. and Gorgun, H. (1996), "Effective length factors in precast concrete frames", Semi-Rigid Structural Connections, Proc. IABSE Colloquium, Istanbul, September.
  12. Elliott, K.S., Davies, G., Gorgun, H. and Adlparvar, M.R. (1998), "The stability of precast concrete skeletal structures", PCI J., 43(2), 42-57. https://doi.org/10.15554/pcij.03011998.42.60
  13. Eurocode EC2 (2002), Design of concrete structures, Part 1-1: General Rules and Rules for Buildings, European Committee for Standardization, April.
  14. Gorgun, H. (1997), "Semi-rigid behaviour of connections in precast concrete structures", Ph.D. Thesis, University of Nottingham, Nottingham.
  15. Gorgun, H. (2013), "Geometrically nonlinear analysis of plane frames composed of flexibly connected members", Struct. Eng. Mech., 45(3), 277-309. https://doi.org/10.12989/sem.2013.45.3.277
  16. Gorgun, H. and Yilmaz, S. (2012), "Geometrically nonlinear analysis of plane frames with semi-rigid connections accounting for shear deformations", Struct. Eng. Mech., 44(4), 539-569. https://doi.org/10.12989/sem.2012.44.4.539
  17. Gorgun, H., Yilmaz, S. and Karacan, S.S. (2012), "Nonlinear analysis of frames composed of flexibly connected members with rigid end sections accounting for shear deformations", Sci. Res. Essays., 7(21), 2390-2408.
  18. Gorgun, H. and Kaymak, S. (2012), "Stability analysis of semi-rigid frames with rigid end sections accounting for shear deformations", Proceedings of the 10th International Congress on Advances in Civil Engineering, Middle East Technical University, Ankara, Turkey. October.
  19. Hadidi, A. and Rafiee, A. (2014), "Harmony search based, improved particle swarm optimizer for minimum cost design of semi-rigid steel frames", Struct. Eng. Mech., 50(3), 323-347. https://doi.org/10.12989/sem.2014.50.3.323
  20. Han, Q., Liu, M. and Lu, Y. (2015), "Experimental research on load-bearing capacity of cast steel joints for beam-to-column.", Struct. Eng. Mech., 56(1), 67-83. https://doi.org/10.12989/sem.2015.56.1.067
  21. 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
  22. 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
  23. 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, 428-35.
  24. 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.
  25. Nethercot, D.A. (1985), Steel beam-to-column connections-a review of test data, London, CIRIA.
  26. TS 500 (2000), Requirements for design and construction of reinforced concrete structures, Turkish Standards Institution, Ankara.
  27. 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
  28. 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
  29. Zhang, Y., Zhang, Q., Li, Y. and Chen, L. (2014), "Research on the mechanical properties of membrane connections in tensioned membrane structures", Struct. Eng. Mech., 49(6), 745-762. https://doi.org/10.12989/sem.2014.49.6.745