A Parametric Study of Elastic Web Buckling in Steel Plate Girders with Transverse Stiffeners
DOI:
https://doi.org/10.13052/ejcm2642-2085.34344Keywords:
steel plate girder, transverse stiffener, web buckling, shell finite element, geometric nonlinearities, eelastic critical buckling loadAbstract
This study presents a numerical investigation into the elastic buckling behaviour of steel plate girders with transverse stiffeners, focusing on the web buckling mode. The influence of key parameters, including web thickness, stiffener thickness and spacing, and flange-stiffener connectivity, is examined to understand their effect on the critical buckling load associated with this mode. Elastic buckling analyses are carried out for various combinations of these parameters using a finite element model based on a nonlinear shell element formulation, which incorporates von Kármán-type nonlinear strain-displacement relations to effectively capture geometric nonlinearities and local instability phenomena. The results are systematically presented and discussed to highlight the sensitivity of buckling performance to each parameter. Detailed insights are provided into the underlying structural behaviour, revealing trends and interactions that govern the elastic web stability of steel plate girders with transverse stiffeners across different design configurations.
Downloads
References
M M Alinia. (2005). A study into optimization of stiffeners in plates subjected to shear loading. Thin-Walled Structures, 43(5), 845–860.
Sérgio Nascimento, José J Oliveira Pedro, Rafael Santos and Ulrike Kuhlmann. (2023). Experimental behaviour of plate girders in steel–internal forces in intermediate transverse stiffeners. Engineering Structures, 291, 116425.
Stephen P Timoshenko and James M Gere. (2012). Theory of Elastic Stability. North Chelmsford: Courier Corporation.
Sung C Lee, Doo S Lee and Chai H Yoo. (2014). Design of intermediate transverse stiffeners for shear web panels. Engineering Structures, 75, 27–38.
Sérgio Nascimento, Rafael Santos and José Oliveira Pedro. (2022). Behaviour of plate girders with intermediate transverse stiffeners–experimental investigation. ce/papers, 5(4), 675–684.
Bernt Johansson, René Maquoi, Gerhard Sedlacek, Christian Müller, Darko Beg, et al. (2007). Commentary and worked examples to EN 1993-1-5 Plated structural elements. JRC Scientific and Technical Reports.
Franc Sinur and Darko Beg. (2012). Intermediate transverse stiffeners in plate girders. Steel Construction, 5(1), 23–32.
European Committee for Standardization. (2004). Eurocode 3: Design of Steel Structures – Part 1-5: Plated structural elements. EN 1993-1-5:2004.
American Association of State Highway and Transportation Officials. (1996). Standard specifications for highway bridges.
José J Oliveira Pedro, Sérgio Nascimento and Chris Hendy. (2024). Shear buckling resistance models for plate girders–review and improvements. Engineering Structures, 307, 117857.
Zaid Al-Azzawi, Timothy Stratford, John Rotter and Luke Bisby. (2015). Effect of flange and stiffener rigidity on the boundary conditions and shear buckling stress of plate girders. 15th European Bridge Conference & Exhibition. ECS Publications.
Adnan Ibrahimbegović. (1995). On finite element implementation of geometrically nonlinear Reissner’s beam theory: three-dimensional curved beam elements. Computer Methods in Applied Mechanics and Engineering, 122(1–2), 11–26.
Anisio Andrade, Dinar Camotim and P Borges Dinis. (2007). Lateral-torsional buckling of singly symmetric web-tapered thin-walled I-beams: 1D model vs. shell FEA. Computers & Structures, 85(17–18), 1343–1359.
R F Vieira, F B E Virtuoso and E B R Pereira. (2017). Buckling of thin-walled structures through a higher order beam model. Computers & Structures, 180, 104–116.
Rodrigo Goncalves. (2019). An assessment of the lateral-torsional buckling and post-buckling behaviour of steel I-section beams using a geometrically exact beam finite element. Thin-Walled Structures, 143, 106222.
Hamed Farokhi and Mergen H Ghayesh. (2019). A new geometrically exact model for buckling and postbuckling statics and dynamics of beams. Journal of Applied Mechanics, 86(7), 071001.
Sándor Ádány. (2012). Global buckling of thin-walled simply supported columns: Analytical solutions based on shell model. Thin-Walled Structures, 55, 64–75.
Sheng Jin, Zhanjie Li, Fang Huang, Dan Gan, Rui Cheng and Gaofeng Deng. (2019). Constrained shell finite element method for elastic buckling analysis of thin-walled members. Thin-Walled Structures, 145, 106409.
Trung Hoang and Sándor Ádány. (2020). The effect of transverse stiffeners on the torsional buckling of thin-walled columns. Proceedings of the Annual Stability Conference Structural Stability Research Council Atlanta, Georgia.
D J Allman. (1984). A compatible triangular element including vertex rotations for plane elasticity analysis. Computers & Structures, 19(1–2), 1–8.
Adnan Ibrahimbegović. (1994). Stress resultant geometrically nonlinear shell theory with drilling rotations–Part I. A consistent formulation. Computer Methods in Applied Mechanics and Engineering, 118(3–4), 265–284.
Adnan Ibrahimbegovic. (1997). Théorie géométriquement exacte des coques en rotations finies et son implantation éléments finis. Revue Européenne des éléments finis, 6(3), 263–335.
D Boutagouga and K Djeghaba. (2014). Geometrically nonlinear dynamic analysis of thin shells by a four-node quadrilateral element with in-plane rotational degree of freedom. European Journal of Computational Mechanics, 23(3–4), 161–177.
Emina Hajdo, Adnan Ibrahimbegovic and Samir Dolarevic. (2020). Buckling analysis of complex structures with refined model built of frame and shell finite elements. Coupled Systems Mechanics, 9(1), 29–46.
Stephen Timoshenko and Sergius Woinowsky-Krieger. (1959). Theory of plates and shells. McGraw-Hill.
T Krauthammer and E Ventsel. (2001). Thin plates and shells: theory, analysis and applications. New York: Marcel Dekker.
Adnan Ibrahimbegovic, Robert L Taylor and Edward L Wilson. (1990). A robust quadrilateral membrane finite element with drilling degrees of freedom. International Journal for Numerical Methods in Engineering, 30(3), 445–457.
Adnan Ibrahimbegović and François Frey. (1995). Variational principles and membrane finite elements with drilling rotations for geometrically non-linear elasticity. International Journal for Numerical Methods in Engineering, 38(11), 1885–1900.
Emina Hajdo, Emina Hadzalic and Adnan Ibrahimbegovic. (2022). Linear buckling analysis of structures on the elastic support. International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies, 92–102, Springer.
Emina Hajdo, Emina Hadzalic and Adnan Ibrahimbegovic. (2024). Buckling analysis of piles in weak single-layered soil with consideration of geometric nonlinearities. Coupled Systems Mechanics, 13(3), 187–200.
Emina Hajdo, Emina Hadzalic, Emir Karavelić, Naida Ademović and Adnan Ibrahimbegovic. (2024). Effective buckling length analysis in steel frame columns: a comprehensive review and novel approaches. International Symposium on Innovative and Interdisciplinary Applications of Advanced Technologies, 100–114, Springer. Springer.
Adnan Ibrahimbegovic. (2009). Nonlinear Solid Mechanics: Theoretical Formulations and Finite Element Solution Methods, Vol. 160. Springer Science & Business Media.
Thomas J R Hughes and F Brezzi. (1989). On drilling degrees of freedom. Computer Methods in Applied Mechanics and Engineering, 72(1), 105–121.
Robert L Taylor. FEAP – A Finite Element Analysis Program. Available online: http://projects.ce.berkeley.edu/feap/
Leroy Gardner, Andreas Fieber and Lorenzo Macorini. (2019). Formulae for calculating elastic local buckling stresses of full structural cross-sections. Structures, 17, 2–20. Elsevier.
Qianjing Zhang, Lei Zhang, Yujia Zhang, Yufei Liu and Jia Zhou. (2023). Elastic local buckling of I-sections under axial compression incorporating web–flange interaction. Buildings, 13(8), 1912.
Lei Zhang, Qianjing Zhang, Genshu Tong and Qunhong Zhu. (2024). Elastic local buckling and width-to-thickness limits of I-beams incorporating flange–web interactions. Buildings, 14(2), 347.
Philip Stanley Bulson. (1970). The Stability of Flat Plates. London: Chatto & Windus.
André da Silva Reis. (2016). Shear buckling in steel plate girders exposed to fire. Universidade de Aveiro (Portugal): PhD thesis.


