834x
000248
2006-06-08

Lateral-Torsional and Torsional-Flexural Buckling of Tapered Beams

Tapered beams are mainly used as frame beams in steel structures. The beam cross-section is adapted to the moment distribution by means of the taper. This often results from a constant line load, and thus consists of member end moments and a suspended ql²/8 parabola.

Author
Tobias Garske
University
University of Applied Sciences Oldenburg, Germany

The design of lateral-torsional buckling safety for the tapered beams susceptible to the lateral-torsional buckling is usually carried out by using the Kappa‑M method according to DIN 18800, Part 2 [1]. To determine the reduction factor Kappa‑M, the ideal elastic critical moment M‑cr,y is required. This can be determined, among other things, using the critical load factor Eta‑cr. Since the critical load factor is a system parameter, it makes sense to take into account the enlarged beam cross-section in the area of the taper in order to achieve an efficient result. So far, the tapers have only been considered approximately by the beam factor n when using the Kappa‑M method.

Therefore, the objective of this thesis is to present a way to create a design aid for determining the critical load factor Eta‑cr of the tapered beams.

Furthermore, different variants of the design for the lateral-torsional buckling safety of tapered beams are presented and compared using some example calculations. In particular, the two variants described in the explanations to DIN 18800 [2] are analyzed.


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