- Research Article
- 10.1016/j.istruc.2026.111631
Evaluation of Thin‐Walled Beam Formulation for Lateral and Distortional Buckling
- May 01, 2026
- Structures
- H.s Osman + 2 more +2
Steel Thin-walled Beams with restrained flanges are commonly used in structural systems where partial or full lateral and rotational restraints may occur, such as in steel–concrete composite beams used in slabs and in highway bridge decks. While these restraints enhance global stability, they can also trigger complex buckling behaviours. One such mode is lateral-distortional buckling (LDB), which arises when the tension flange is restrained against both lateral translation and rotation, leading to web distortion and twisting of the compression flange during buckling. Numerous studies have shown that existing empirical methods for predicting the elastic critical moment of LDB lack sufficient accuracy. This paper presents a numerical approach for estimating the elastic lateral and distortional buckling capacity of thin-walled I-beams under uniformly distributed loading. The developed method, referred to as Distortional Beam Formulations (DBF13), offers an efficient and practical modeling framework that incorporates second-order shell kinematics to accurately capture LDB behaviour. To validate the proposed formulation, Shell-element models were used in case studies and compared against existing experimental and analytical data. A total of 3540 analyses were conducted on doubly-symmetric and mono-symmetric I-section models under various boundary conditions to evaluate DBF13 across different buckling scenarios. Additionally, the effects of the cross-section classification, beam span, flange and web slenderness ratios were examined. The case study results underscore the reliability of DBF13 in predicting the Lateral Torsional Buckling as well as the Lateral Distortional Buckling behaviour. In the eigenvalue predictions, DBF13 has shown an average difference of less than 11% compared to shell model results.
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