Shear deformation effect in second-order analysis of frames subjected to variable axial loading

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:29:07Z
dc.date.available	2014-03-01T01:29:07Z
dc.date.issued	2008	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19142
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Direct Stiffness Method	en
dc.subject	Nonlinear analysis	en
dc.subject	Second-order analysis	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Nonlinear analysis	en
dc.subject.other	Shear deformation	en
dc.subject.other	Stiffness	en
dc.subject.other	Direct Stiffness Method	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Transverse shear stresses	en
dc.subject.other	Axial loads	en
dc.title	Shear deformation effect in second-order analysis of frames subjected to variable axial loading	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-007-0200-z	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-007-0200-z	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper a boundary element method is developed for the second-order analysis of frames consisting of beams of arbitrary simply or multiply connected constant cross section, taking into account shear deformation effect. Each beam is subjected to an arbitrarily concentrated or distributed variable axial loading, while the shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. To account for shear deformations, the concept of shear deformation coefficients is used. Three boundary value problems are formulated with respect to the beam deflection, the axial displacement and to a stress function and solved employing a BEM approach. The evaluation of the shear deformation coefficients is accomplished from the aforementioned stress function using only boundary integration. Numerical examples with great practical interest are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The influence of both the shear deformation effect and the variableness of the axial loading are remarkable. © 2007 Springer Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-007-0200-z	en
dc.identifier.isi	ISI:000251381100008	en
dc.identifier.volume	41	en
dc.identifier.issue	3	en
dc.identifier.spage	429	en
dc.identifier.epage	439	en