A BEM solution to transverse shear loading of beams

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:21:42Z
dc.date.available	2014-03-01T01:21:42Z
dc.date.issued	2005	en
dc.identifier.issn	0178-7675	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/16325
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Effect of Poisson's ratio	en
dc.subject	Principal shear axes	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	Elasticity	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear stress	en
dc.subject.other	Effect of poison ratios	en
dc.subject.other	Principal of shear axes	en
dc.subject.other	Shear center	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Transverse shear stresses	en
dc.subject.other	Beams and girders	en
dc.title	A BEM solution to transverse shear loading of beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00466-005-0677-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00466-005-0677-2	en
heal.language	English	en
heal.publicationDate	2005	en
heal.abstract	In this paper a boundary element method is developed for the solution of the general transverse shear loading problem of beams of arbitrary simply or multiply connected constant cross section. The analysis of the beam is accomplished with respect to a coordinate system that has its origin at the centroid of the cross section, while its axes are not necessarily the principal ones. The transverse shear loading is applied at the shear center of the cross section, avoiding in this way the induction of a twisting moment. Two boundary value problems that take into account the effect of Poisson's ratio are formulated with respect to stress functions and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the transverse shear stresses at any interior point is accomplished by direct differentiation of these stress functions, while both the coordinates of the shear center and the shear deformation coefficients are obtained from these functions 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 accuracy of the proposed shear deformation coefficients compared with those obtained from a 3-D FEM solution of the 'exact' elastic beam theory is remarkable. © Springer-Verlag 2005.	en
heal.publisher	SPRINGER	en
heal.journalName	Computational Mechanics	en
dc.identifier.doi	10.1007/s00466-005-0677-2	en
dc.identifier.isi	ISI:000231600200005	en
dc.identifier.volume	36	en
dc.identifier.issue	5	en
dc.identifier.spage	384	en
dc.identifier.epage	397	en