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

Anastasselou, EG; Panayotounakos, DE

dc.contributor.author	Anastasselou, EG	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:06:22Z
dc.date.available	2014-03-01T01:06:22Z
dc.date.issued	1985	en
dc.identifier.issn	0016-0032	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9331
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0022043738&partnerID=40&md5=45f6c11288ef932e665234db9177d865	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Engineering, Electrical & Electronic	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	BEAMS AND GIRDERS - Buckling	en
dc.subject.other	BUCKLING ANALYSIS	en
dc.subject.other	CO-PLANAR FORCES	en
dc.subject.other	GAUSS INTEGRATION	en
dc.subject.other	BARS	en
dc.title	A method for the closed-form evaluation of critical buckling loads for planar strongly curved bars	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	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 γ cot uγ = 1, corresponding to the buckling problem of a cantilever circular bar of high curvature loaded by two co-planar forces acting along its chord, is solved in a closed-form. Finally, several numerical results are presented, based on the Gauss integration rule. © 1985.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of the Franklin Institute	en
dc.identifier.isi	ISI:A1985AGS0500003	en
dc.identifier.volume	319	en
dc.identifier.issue	4	en
dc.identifier.spage	397	en
dc.identifier.epage	403	en