A method for the closed-form evaluation of critical buckling loads for planar strongly curved bars

✍ Scribed by E.G. Anastasselou; D.E. Panayotounakos

• Publisher: Elsevier Science
• Year: 1985
• Tongue: English
• Weight: 340 KB
• Volume: 319
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(85)90008-0

✦ Synopsis

The calculation of critical buckling loads of planar curved bars, subjected to a general co-planar continuous external load (or a general co-planar terminal loading), leads to the solution of transcendental (nonlinear) equations. In this investigation a new method for the closed-form solution of such types of equations is presented. In particular, the transcendental equation u tan y cot uy = 1, corresponding to the buckling problem of a cantilever circular bar of high curvature loaded by two co-planarforces acting along its chord, is solved in a closed-form.

Finally, several numerical results are presented, based on the Gauss integration rule.