Steel and Composite Structures

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Steel-concrete composite bridge analysis using generalised beam theory

  • Goncalves, Rodrigo (UNIC, Departamento de Engenharia Civil, Faculdade de Ciencias e Tecnologia, Universidade Nova de Lisboa) ;
  • Camotim, Dinar (ICIST/IST, Departamento de Engenharia Civil e Arquitectura, Universidade Tecnica de Lisboa)
  • Received : 2010.04.13
  • Accepted : 2010.05.27
  • Published : 2010.05.25
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Abstract

This paper reports recent developments concerning the application of Generalised Beam Theory (GBT) to the structural analysis of steel-concrete composite bridges. The potential of GBT-based semi-analytical or finite element-based analyses in this field is illustrated/demonstrated by showing that both accurate and computationally efficient solutions may be achieved for a wide range of structural problems, namely those associated with the bridge (i) linear (first-order) static, (ii) vibration and (iii) lateral-torsional-distortional buckling behaviours. Several illustrative examples are presented, which concern bridges with two distinct cross-sections: (i) twin box girder and (ii) twin I-girder. Allowance is also made for the presence of discrete box diaphragms and both shear lag and shear connection flexibility effects.

Keywords

References

  1. Bathe, K. (2003), ADINA System, ADINA R&D Inc.
  2. Bebiano, R., Silvestre, N. and Camotim, D. (2008), "Local and global vibration of thin-walled members subjected to compression and non-uniform bending", J. Sound. Vib., 315(3), 509-535. https://doi.org/10.1016/j.jsv.2008.02.036
  3. Camotim, D., Silvestre, N., Gon alves, R. and Dinis, P. B. (2004), "GBT analysis of thin-walled members: new formulation and applications", Thin-Walled Structures: Recent Advances and Future Trends in Thin-Walled Structures Technology, J. Loughlan (ed.), Canopus Publishing, Bath, 137-168.
  4. Camotim, D., Silvestre, N. Gon alves, R. and Dinis, P. B. (2006), "GBT-based structural analysis of thin-walled members: overview, recent progress and future developments", Adv. Eng. Struct., Mechanics & Construction, M Pandey, WC Xie, L Xu (eds.), Springer, Dordrecht, 187-204.
  5. Camotim, D., Silvestre, N. and Bebiano, R. (2007), "GBT local and global vibration analysis of thin-walled members", Dynamics of Plated Structures: Analysis and Design, NE Shanmugam, CM Wang (eds.), Woodhead Publishing Limited, Cambridge, 36-76.
  6. Camotim, D., Basaglia, C. and Silvestre, N. (2010), "Global buckling analysis of thin-walled steel frames: a state-of-the-art report", Thin. Wall. Struct. (in press)
  7. Davies, J. M. (1998), "Generalised beam theory (GBT) for coupled instability problems", Coupled instabilities in metal structures: theoretical and design aspects, J Rondal (ed.), Springer-Verlag, 151-223, Austria.
  8. Gon alves, R. and Camotim, D. (2004), "GBT local and global buckling analysis of aluminium and stainless steel columns", Comput. Struct., 82(17-19), 1473-484. https://doi.org/10.1016/j.compstruc.2004.03.043
  9. Goncalves, R. and Camotim, D. (2007), "Thin-walled member plastic bifurcation analysis using generalized beam theory", Adv. Eng. Softw., 38(8-9), 637-646. https://doi.org/10.1016/j.advengsoft.2006.08.027
  10. Goncalves, R., Camotim, D. and Ritto-Corr a, M. (2008), "Steel and composite bridge analysis using generalized beam theory", Steel Bridges - Advanced Solutions & Technologies (Proceedings of 7th International Conference on Steel Bridges - Guimaraes), P Cruz, LS Silva, F Schroter (eds.), ECCS, Coimbra, 377-389.
  11. Goncalves, R., Dinis, P. B. and Camotim, D. (2006), "Box girder bridge analysis using generalized beam theory", Proceedings of SDSS 2006 International Colloquium on Stability and Ductility of Steel Structures (SDSS 2006 Lisboa), D Camotim, N Silvestre, PB Dinis (ed.), IST Press, Lisbon, 1027-1036.
  12. Goncalves, R., Dinis, P. B. and Camotim, D. (2009), "GBT formulation to analyse the first-order and buckling behaviour of thin-walled members with arbitrary cross-sections", Thin. Wall. Struct., 47(5), 583-600. https://doi.org/10.1016/j.tws.2008.09.007
  13. Goncalves, R., Le Grognec, P. and Camotim, D. (2010a), "GBT-based semi-analytical solutions for the plastic bifurcation of thin-walled members", Int. J. Solids Struct., 47(1), 34-50. https://doi.org/10.1016/j.ijsolstr.2009.09.013
  14. Goncalves, R., Ritto-Corr a, M. and Camotim, D. (2010b), "A new approach to the calculation of cross-section deformation modes in the framework of Generalized Beam Theory", Computational Mechanics, in press.
  15. Johnson, R. P. and Anderson, D. (2004). Designer's Guide to EN 1994-1-1, Thomas Telford, London.
  16. Moller, R. (1982), Zur Berechnung Prismatischer Strukturen mit Beliebigem nicht Formtreuem Querschnitt, Institut fur Statik, Technische Hochschule Darmstadt.
  17. Murray, N. W. (1986), Introduction to the Theory of Thin-Walled Structures, Clarendon Press, Oxford.
  18. Saal, G. (1974), Ein beitrag zur Schwingungsberechnung von Dunnwandigen, Prismatischen Schalentragwerken mit Unverzweigtem Querschnitt, Ph.D. Dissertation, Technische Hochschule Darmstadt, Germany. (in German)
  19. Schafer, B. W. (2003), CUFSM 2.6, Finite Strip Buckling Analysis of Thin-Walled Members, Civil Engineering Department, Johns Hopkins University, Baltimore. (www.ce.jhu.edu/bschafer)
  20. Schardt, R. (1989), Verallgemeinerte Technische Biegetheorie, Springer-Verlag, Berlin. (in German)
  21. Schardt, R. (1994), "Generalized beam theory-an adequate method for coupled stability problems", Thin. Wall. Struct., 19(2-4), 161-180. https://doi.org/10.1016/0263-8231(94)90027-2
  22. Schardt, R. and Heinz, D. (1991), "Vibrations of thin-walled prismatic structures under simultaneous static load using generalized beam theory", Structural Dynamics, W. Kratzig et al. (eds.), Balkema, Rotterdam, 921-927.
  23. Silvestre, N. and Camotim, D. (2003), "Non-linear generalised beam theory for cold-formed steel members", Int. J. Struct. Stab. Dy., 3(4), 461-490. https://doi.org/10.1142/S0219455403001002
  24. Silvestre, N. and Camotim, D. (2004), "Distortional buckling formulae for cold-formed steel C and Z section members: part I -derivation", Thin. Wall. Struct., 42(11), 1567-1597. https://doi.org/10.1016/j.tws.2004.05.001

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