Geometric nonlinear analysis of asymmetric thin-walled beam-columns

Statistical evaluation of the lateral–torsional buckling resistance of steel I-beams, Part 2: Variability of steel properties

A finite‐element method of analysis is presented for the elastic flexural‐torsional buckling of non‐prismatic I‐section beam‐columns. The formulation presents a general approach to the problem, in which the coupling of torsion and bending is simplified by adopting the web mid‐height as an arbitrary axis of twist. By making this simplification, the formulation does not sutler from the restrictions of other solutions, such as the use of uniform elements and finite differences. Buckling stiffness and stability matrices are developed, and these may be readily included in existing finite‐element programs. The method is shown to be in good agreement with the more complex finite‐integral treatment, and its scope is demonstrated by application to the buckling of tapered cantilevers.

Elastic buckling of tapered monosymmetric I-beams

Lateral buckling analysis of beams by the FEM

/pdf/the-behaviour-and-design-of-steel-structures-to-ec3-fourth-24m1g8dnd5.pdf

The Behaviour and Design of Steel Structures to EC3, Fourth Edition

A general numerical procedure for the determination of lateral-torsional critical buckling loads for elastic beams of singly symmetric I-section is presented. The procedure mades use of finite element techniques, and is applicable to beams with arbitrary vertical and lateral supports and arbitrary loading. Expressions for elastic and geometric stiffnesses are developed, the solution of the eigenvalue problem is considered, and examples are presented. The method can be extended to the inelastic case.

Elastic Lateral Buckling of Steel Beams

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Elastic Lateral Buckling of Steel Beams