Skip to main content
SpringerLink
Log in

Thin-Walled Beam Formulations with Cross-Sectional Deformation

  • Conference paper
  • First Online:
Proceedings of the Canadian Society of Civil Engineering Annual Conference 2022 (CSCE 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 348))

Included in the following conference series:

  • 432 Accesses

Abstract

Thin-walled beams are widely used in steel construction with various restraint arrangements and sizes. Due to the slenderness of their cross-section thin-walled beams are prone to distortional behaviour as a result of web bending. Web bending is a major concern in thin-walled buckling behaviour especially when the top flanges are restraint as in highway bridge construction of girders. Web distortion also gains significance with slender webs, stocky flanges, and/or shorter spans. This paper evaluates the performance of beam-type Finite Element formulations that are capable of capturing the deformation modes involving web distortion in thin-walled beam behaviour by contrasting the analysis results against shell element-based models. In the selected case studies elastic buckling load predictions and corresponding first mode shapes of steel girders with various sizes and restraining conditions is illustrated.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 279.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Barsoum RJ, Gallagher RH (1970) Finite element analysis of torsional and torsional–flexural stability problems. Int J Numer Meth Eng 2:335–352

    Article  MATH  Google Scholar 

  2. Bazant ZP, El-Nimeri M (1973) Large-deflection spatial buckling of thin-walled beams and frames. J Eng Mech Div 99(6):1259–81

    Google Scholar 

  3. Krajcinovic D (1969) A consistent discrete elements technique for thin wall assemblages. Int J Solids Struct 5:639–662

    Article  MATH  Google Scholar 

  4. Alsafadie R, Hjiaj M, Battini J-M (2010) Corotational mixed finite element formulation for thin-walled beams with generic cross-section. Comput Methods Appl Mech Eng 199:3197–3212

    Article  MathSciNet  MATH  Google Scholar 

  5. Erkmen RE, Attard MM (2011) Lateral-torsional buckling analysis of thin-walled beams including shear and pre-buckling deformation effects. Int J Mech Sci 53:918–925

    Article  Google Scholar 

  6. Roberts TM, Azizian ZG (1983) Instability of thin-walled bars. J Eng Mech, ASCE 109:781–794

    Article  MATH  Google Scholar 

  7. Pi Y-L, Trahair N, Rajasekaran S (1992) Energy equations for beam lateral buckling. J Struct Eng ASCE 118:1462–1479

    Article  Google Scholar 

  8. Wu L, Mohareb M (2012) Finite element formulation for the lateral torsional buckling of plane frames. J Eng Mech, ASCE 139:512–524

    Article  Google Scholar 

  9. Schafer BW, Pekoz T (1998) Computational modeling of cold-formed steel: characterizing geometric imperfections and residual stresses. J Constr Steel Res 47:193–210

    Article  Google Scholar 

  10. Adany S, Schafer BW (2008) A full modal decomposition of thin-walled, single-branched open cross-section members via the constrained finite strip method. J Constr Steel Res 64:12–29

    Article  Google Scholar 

  11. Hancock GJ (1978) Local, distortional, and lateral buckling of I-beams. J Struct Div 104:1787–1798

    Article  Google Scholar 

  12. Davies JM, Leach P (1994) Second order generalized beam theory. J Constr Steel Res 31:221–241

    Article  Google Scholar 

  13. Roberts TM, Jhita PS (1983) Lateral, local and distortional buckling of I-beams. Thin-Walled Struct 1:289–308

    Article  Google Scholar 

  14. Pezeshky P, Mohareb M (2018) Distortional lateral-torsional buckling of beam-columns including pre-buckling deformation effects. Comput Struct 209:93–116

    Article  Google Scholar 

  15. Camotim D, Silvestre N, Gonçalves R, Dinis PB (2004) GBT analysis of thin-walled members: new formulations and applications. In: Loughlan J (ed) Thin-walled structures: recent advances and future trends in thin-walled structures technology. Canopus Publishing, Bath, pp 137–168

    Google Scholar 

  16. Erkmen RE (2022) Elastic buckling analysis of thin-walled beams including web-distortion. Thin-Walled Struct 170

    Google Scholar 

  17. Teh LH (2005) Spatial rotation kinematics and flexural-torsional buckling. J Eng Mech, ASCE 131:598–605

    Article  Google Scholar 

  18. Batoz J-L, Tahar MB (1982) Evaluation of a new quadrilateral thin plate bending element. Int J Numer Meth Eng 18:1655–1677

    Article  MATH  Google Scholar 

  19. Ibrahimbegovic A, Taylor RL, Wilson EL (1990) A robust quadrilateral membrane finite element with drilling degrees of freedom. Int J Numer Meth Eng 30:445–457

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Building, Civil and Environmental Engineering, Concordia University, Montreal, QC, Canada

    Emre Erkmen

Authors
  1. Emre Erkmen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Emre Erkmen .

Editor information

Editors and Affiliations

  1. Department of Civil Engineering, University of Victoria, Victoria, BC, Canada

    Rishi Gupta

  2. Department of Civil Engineering, University of Victoria, Victoria, BC, Canada

    Min Sun

  3. Department of Earthquake Engineering, The University of British Columbia, Vancouver, BC, Canada

    Svetlana Brzev

  4. The University of British Columbia-Okanagan Campus, Kelowna, BC, Canada

    M. Shahria Alam

  5. University of Regina, Regina, SK, Canada

    Kelvin Tsun Wai Ng

  6. Environmental Engineering Program, University of Northern British Columbia, Prince George, BC, Canada

    Jianbing Li

  7. The University of Western Ontario, London, ON, Canada

    Ashraf El Damatty

  8. Department of Civil Engineering, The University of British Columbia, Vancouver, BC, Canada

    Clark Lim

Rights and permissions

Reprints and permissions

Copyright information

© 2023 Canadian Society for Civil Engineering

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Erkmen, E. (2023). Thin-Walled Beam Formulations with Cross-Sectional Deformation. In: Gupta, R., et al. Proceedings of the Canadian Society of Civil Engineering Annual Conference 2022. CSCE 2022. Lecture Notes in Civil Engineering, vol 348. Springer, Cham. https://doi.org/10.1007/978-3-031-34159-5_67

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-34159-5_67

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-34158-8

  • Online ISBN: 978-3-031-34159-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation