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Force Combinations Inducing Lateral Torsional Buckling
The phenomenon of lateral torsional buckling can occur when a relatively large transverse load is applied to a thin-walled beam. The article presents the exact equations which give critical combinations of two transverse concentrated forces inducing lateral torsional buckling of uniform rectangular elastic beams. The cases of a simply supported beam, a cantilever, a beam clamped at both ends, and a two-span continuous beam are considered. The equations, involving Bessel functions, are obtained analytically by solving differential equations and satisfying boundary and continuity conditions. The degenerate cases following from the equations, when one of the two forces disappears, are identical to the well-known solutions. The derived equations define the boundary curves of the convex feasible regions in the plane of forces. Combinations of forces inside the feasible region correspond to lateral torsional buckling stability. The forms of the boundary curves are analysed. The curve is close to linear if the forces are applied to one span close to each other and nonlinear if they are applied to different spans. The derived exact equations can be used to estimate critical values of transverse forces or their combinations obtained by various approximate methods. Besides, the equations can be helpful for constructing stability conditions in structural optimization problems.
Force Combinations Inducing Lateral Torsional Buckling
The phenomenon of lateral torsional buckling can occur when a relatively large transverse load is applied to a thin-walled beam. The article presents the exact equations which give critical combinations of two transverse concentrated forces inducing lateral torsional buckling of uniform rectangular elastic beams. The cases of a simply supported beam, a cantilever, a beam clamped at both ends, and a two-span continuous beam are considered. The equations, involving Bessel functions, are obtained analytically by solving differential equations and satisfying boundary and continuity conditions. The degenerate cases following from the equations, when one of the two forces disappears, are identical to the well-known solutions. The derived equations define the boundary curves of the convex feasible regions in the plane of forces. Combinations of forces inside the feasible region correspond to lateral torsional buckling stability. The forms of the boundary curves are analysed. The curve is close to linear if the forces are applied to one span close to each other and nonlinear if they are applied to different spans. The derived exact equations can be used to estimate critical values of transverse forces or their combinations obtained by various approximate methods. Besides, the equations can be helpful for constructing stability conditions in structural optimization problems.
Force Combinations Inducing Lateral Torsional Buckling
Lecture Notes in Civil Engineering
Akimov, Pavel (Herausgeber:in) / Vatin, Nikolai (Herausgeber:in) / Makzhanova, Yana (Autor:in)
09.11.2021
13 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
| Wiley | 2008
Torsional restraint of lateral buckling
| Engineering Index Backfile | 1966
Lateral-torsional buckling of arches
| TIBKAT | 1969