A displacement solution for transverse shear loading of beams using the boundary element method

Sapountzakis, EJ; Protonotariou, VM

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Protonotariou, VM	en
dc.date.accessioned	2014-03-01T01:27:40Z
dc.date.available	2014-03-01T01:27:40Z
dc.date.issued	2008	en
dc.identifier.issn	0045-7949	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/18528
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Principal shear axes	en
dc.subject	Shear	en
dc.subject	Shear center	en
dc.subject	Shear deformation coefficients	en
dc.subject	Transverse shear stresses	en
dc.subject.classification	Computer Science, Interdisciplinary Applications	en
dc.subject.classification	Engineering, Civil	en
dc.subject.other	Deformation	en
dc.subject.other	Prisms	en
dc.subject.other	Problem solving	en
dc.subject.other	Shear stress	en
dc.subject.other	Principal shear axes	en
dc.subject.other	Shear centers	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Transverse shear stresses	en
dc.subject.other	Boundary element method	en
dc.title	A displacement solution for transverse shear loading of beams using the boundary element method	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.compstruc.2007.06.005	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.compstruc.2007.06.005	en
heal.language	English	en
heal.publicationDate	2008	en
heal.abstract	In this paper the boundary element method is employed to develop a displacement solution for the general transverse shear loading problem of prismatic beams of arbitrary simply or multiply connected 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. A boundary value problem is formulated with respect to a warping function and solved employing a pure BEM approach requiring only a boundary discretization. The evaluation of the transverse shear stresses at any interior point is accomplished by direct differentiation of this function, while the coordinates of the shear center are obtained from this function using only boundary integration. The shear deformation coefficients are obtained from the solution of two boundary value problems with respect to warping functions appropriately arising from the aforementioned one, using again only boundary integration. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The accuracy of both the thin tube theory and the engineering beam theory is examined through examples of practical interest. (C) 2007 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.2007.06.005	en
dc.identifier.isi	ISI:000255602700015	en
dc.identifier.volume	86	en
dc.identifier.issue	7-8	en
dc.identifier.spage	771	en
dc.identifier.epage	779	en