Exact lateral-torsional buckling solutions for cantilevered beams subjected to intermediate and end transverse point loads

Noel Challamel (1) , Chien Ming Wang (2)

1 LGCGM - Laboratoire de Génie Civil et Génie Mécanique
2 Department of Civil and Environmental Engineering

This paper presents exact stability criteria for the lateral-torsional buckling of cantilever strip beams under intermediate and end point loads. The two-dimensional stability domain is given in closed-form solutions, in terms of Bessel functions. The limit of the convex stability domain tends towards Dunkerley's line when the intermediate load approaches the tip of the cantilever. However, the Dunkerley's line is no longer appropriate when the distance between both loads is sufficiently large. An approximate set of formulas is proposed for quick estimation of the buckling load. (C) 2009 Elsevier Ltd. All rights reserved.

Mots clés: Lateral-torsional buckling; Bessel functions; Cantilever; Strip beams; Combined loading; Stability criteria

Domaines: Génie civil; Génie mécanique [physics.class-ph]; Génie mécanique [physics.class-ph]

Noel Challamel, Chien Ming Wang. Exact lateral-torsional buckling solutions for cantilevered beams subjected to intermediate and end transverse point loads. Thin-Walled Structures, 2010, 48 (1), pp.71-76. ⟨10.1016/j.tws.2009.08.006⟩. ⟨hal-01068964⟩