Elastica of an axially loaded column/ footing system resting on elastic base

Younis, CJ; Panayotounakos, DE

dc.contributor.author	Younis, CJ	en
dc.contributor.author	Panayotounakos, DE	en
dc.date.accessioned	2014-03-01T01:09:23Z
dc.date.available	2014-03-01T01:09:23Z
dc.date.issued	1993	en
dc.identifier.issn	0020-7462	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10945
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0027699145&partnerID=40&md5=17cd04500314ddda803d44187bb91345	en
dc.subject.classification	Mechanics	en
dc.subject.other	Buckling	en
dc.subject.other	Differential equations	en
dc.subject.other	Elasticity	en
dc.subject.other	Footbridges	en
dc.subject.other	Parameter estimation	en
dc.subject.other	Axially loaded column	en
dc.subject.other	Elastic base	en
dc.subject.other	Elastica	en
dc.subject.other	Footing systems	en
dc.subject.other	Theory of elliptic integrals and elliptic functions	en
dc.subject.other	Columns (structural)	en
dc.title	Elastica of an axially loaded column/ footing system resting on elastic base	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	The exact non-linear differential equation of large deformations of an axially loaded column fixed into a rigid eccentric footing, resting on elastic base, is formulated, along with the accompanying exact non-linear boundary conditions. The above differential equation is solved using the theory of elliptic integrals and elliptic functions. Employing a quadratic polynomial approximation in the expression for the curvature of the central line of the deformed column, an extended parametric study is carried out, in which as basic geometric parameters the height as well as the eccentricity of the footing have been adopted. The content of the parametric study consists in determining the relations among the basic variables: axial load, rotation angle of the footing and footing rotational stiffness. These relations are presented in the form of families of curves. © 1993.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	International Journal of Non-Linear Mechanics	en
dc.identifier.isi	ISI:A1993MM36900012	en
dc.identifier.volume	28	en
dc.identifier.issue	6	en
dc.identifier.spage	737	en
dc.identifier.epage	751	en