Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

A numerical method for buckling analysis of built-up columns with stay plates

  • Djafour, M. (Department of Civil Engineering, A. Belkaid University of Tlemcen) ;
  • Megnounif, A. (Department of Civil Engineering, A. Belkaid University of Tlemcen) ;
  • Kerdal, D. (Department of Civil Engineering, University of Sciences and Technology of Oran) ;
  • Belarbi, A. (Department of Civil, Architectural, and Environmental Engineering, University of Missouri Rolla)
  • Received : 2005.11.28
  • Accepted : 2006.12.27
  • Published : 2007.07.10
⟨ Previous Next ⟩

Abstract

A new numerical model based on the spline finite strip method is presented here for the analysis of buckling of built-up columns with and without end stay plates. The channels are modelled with spline finite strips while the connecting elements are represented by a 3D beam finite element, for which the stiffness matrix is modified in order to ensure complete compatibility with the strips. This numerical model has the advantage to give all possible failure modes of built-up columns for different boundary conditions. The end stay plates are also taken into account in this method. To validate the model a comparative study was carried out. First, a general procedure was chosen and adopted. For each numerical analysis, the lowest buckling loads and modes were calculated. The basic or "pure" buckling modes were identified and their critical loads were compared with solutions obtained using analytical methods and/or other numerical methods. The results showed that the proposed numerical model can be used in practice to study the elastic buckling of built-up columns. This model is considered accurate and efficient for the local buckling of short columns and global buckling for slender columns.

Keywords

References

  1. Bathe, K.J. (1982), Finite Elements Procedures in Engineering Analysis. Prentice Hall Inc., New York
  2. Cheung, M.S., Akhras, G. and Li, W. (1999), 'Thermal buckling analysis of thick anisotropic composite plates by finite strip method', Struct. Eng. Mech., 7(5)
  3. Djafour, M., Megnounif, A. and Kerdal, D. (1999), 'Elastic stability of built-up columns using the spline finite strip method', 6th Int. Colloquium on Stability and Ductility of Steel Structures SDSS'99. Timisoara, Romania 9-11 Septembre 1999
  4. Djafour, M., Megnounif, A. and Kerdal, D. (2001), 'The compound spline finite strip method for the elastic stability of U and C built-up columns', Int. Conf. on Structural Engineering, Mechanics and Computation (SEMC 2001). Cape Town, south Africa April 2nd-4th 2001
  5. Dubina, D. and Ungureanu, V. (1999), 'Single and interactive buckling modes for unstiffened thin-walled steel sections in compression', 6th Int. Colloquium on Stability and Ductility of Steel Structures SDSS'99. Timisoara, Romania 9-11 Septembre 1999
  6. Engesser, F. (1889), Die knickfestigkeitgerader stabe Zeitschrift des Architekten und Ingenieur vereins zu Hannover, 35, 455
  7. Engesser, F. (1891), Die knickfestigkeitgerader stabe zentralblatt der bauverwaltung, 11, 483 Berlin
  8. Engesser, F. (1909), Uber die Knickfestigkeit von Rahmenstaben zentralblatt der bauverwaltung, 29, 136 Berlin
  9. Kerdal, D., Djafour, M. and Megnounif, A. (1995), Etude du voilement de profils aparois minces en U soumis a la compression. Revue Algerie Equipement, 22, 7-11
  10. Key, P.W. and Hancock, G.J. (1993), 'A finite strip method for the elastic-plastic large displacement analysis of thin-walled and cold-formed steel sections', Thin Walled Struct., 16, 3-29 https://doi.org/10.1016/0263-8231(93)90039-D
  11. Kim, K.H. and Choi, C.K. (2004), 'A non-symmetric non-periodic B3-spline finite strip method', Struct. Eng. Mech., 18(2)
  12. Lau, S.C. and Hancock, G.J. (1985), Buckling of Thin Flat Walled Structures by a Spline Finite Strip Method. Research report $N^{\circ}$ R487, University of Sidney, Australia
  13. Lau, S.C. and Hancock, G.J. (1988), Inelastic Buckling of Channel Columns in the Distortional Mode. Research report $N^{\circ}$ R578, University of Sidney, Australia
  14. Liu, Y. and Xu, L. (2005), 'Storey-based stability analysis of multi-storey unbraced frames', Struct. Eng. Mech., 19(6), 679-705 https://doi.org/10.12989/sem.2005.19.6.679
  15. Niazi, A. (1993), Contribution al'etude de la stabilite des structures composees de profils aparois minces et section ouverte de type C. These de doctorat, Universite de Liege
  16. Ovesy, H.R., GhannadPour, S.A.M. and Morada, G. (2005), 'Geometric non-linear analysis of composite laminated plates with initial imperfection under end shortening, using two versions of finite strip method', Compos. Struct., 71(3-4), 307-314 https://doi.org/10.1016/j.compstruct.2005.09.030
  17. Paul, M. (1995a), 'Theoretical and experimental study on buckling of built-up colunms', J. Eng. Mech., ASCE, 121(10),1098-1105 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:10(1098)
  18. Paul, M. (1995b), 'Buckling loads for built-up colunms with stay plates', J. Eng. Mech., ASCE, 121(11), 1200-1208 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:11(1200)
  19. Standards Association of Australia, SAA (1988), SAA Cold-Formed Steel Structures Code. Australian Standard AS1538
  20. Teter, A. and Kolakowski, Z. (2004), 'Interactive buckling and load carrying capacity of thin-walled beamcolumns with intermediate stiffeners', Thin-Walled Struct., 42(2), 211-254 https://doi.org/10.1016/S0263-8231(03)00058-2
  21. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability. Me Graw-Hill, New York
  22. Wang, C.M., Ng, K.H. and Kitipomchai, S. (2002), 'Stability criteria for Timoshenko columns with intermediate and end concentrated axial loads', J. Constructional Steel Res., 58(9), 1177-1193 https://doi.org/10.1016/S0143-974X(01)00071-2
  23. Yu, W.W. (2000), Cold-Formed Steel Design. John Wiley & Sons, Inc

Cited by

  1. A constrained finite strip method for prismatic members with branches and/or closed parts vol.59, 2012, https://doi.org/10.1016/j.tws.2012.04.019
  2. Strength buckling predictions of cold-formed steel built-up columns vol.28, pp.4, 2008, https://doi.org/10.12989/sem.2008.28.4.443
  3. A constrained finite strip method for prismatic members with branches and/or closed parts vol.61, 2012, https://doi.org/10.1016/j.tws.2012.04.020