Nonuniform torsion of bars of variable cross section

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:21:09Z
dc.date.available	2014-03-01T01:21:09Z
dc.date.issued	2004	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16089
dc.subject	Bar	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Nonuniform torsion	en
dc.subject	Shear stresses	en
dc.subject	Twist	en
dc.subject	Warping	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Elasticity	en
dc.subject.other	Finite element method	en
dc.subject.other	Shear stress	en
dc.subject.other	Shells (structures)	en
dc.subject.other	Stiffness	en
dc.subject.other	Torsional stress	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Twists	en
dc.subject.other	Warping	en
dc.subject.other	Bars (metal)	en
dc.title	Nonuniform torsion of bars of variable cross section	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2004.02.022	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2004.02.022	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	In this paper a boundary element method is developed for the nonuniform torsion of simply or multiply connected bars of arbitrary variable cross section. The bar is subjected to an arbitrarily concentrated or distributed twisting moment, while its edges are restrained by the most general linear torsional boundary conditions. The developed procedure takes into account the variable torsional and warping rigidities along the member length. Three boundary value problems with respect to the variable along the beam angle of twist and to the primary and secondary warping functions are formulated and solved employing a pure BEM approach, that is only boundary discretization used. Both the variable warping and torsion constants together with the torsional shear stresses and the warping normal and shear stresses are computed. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The discrepancy in the analysis of a thin-walled cross section beam employing the FEM and using a fine mesh of shell elements or employing shape functions after calculating the torsion and warping constants adopting the thin tube theory demonstrates the importance of the proposed procedure even in thin-walled beams, since it approximates better the torsion and warping constants and takes also into account the warping of the walls of the cross section. (C) 2004 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Computers and Structures	en
dc.identifier.doi	10.1016/j.compstruc.2004.02.022	en
dc.identifier.isi	ISI:000221005900002	en
dc.identifier.volume	82	en
dc.identifier.issue	9-10	en
dc.identifier.spage	703	en
dc.identifier.epage	715	en