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

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T02:51:54Z
dc.date.available	2014-03-01T02:51:54Z
dc.date.issued	2009	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/35741
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84858413825&partnerID=40&md5=fa116c19cc5b0e02554214fcca6d9cbb	en
dc.subject	Beam	en
dc.subject	Boundary element method	en
dc.subject	Composite	en
dc.subject	Principal shear axes	en
dc.subject	Shear deformation coefficients	en
dc.subject	Shear stresses	en
dc.subject	Warping function	en
dc.subject.other	Beam	en
dc.subject.other	Boundary element method (BEM)	en
dc.subject.other	Principal shear axes	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Warping function	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Composite beams and girders	en
dc.subject.other	Composite materials	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Elasticity	en
dc.subject.other	Environmental engineering	en
dc.subject.other	Shear deformation	en
dc.subject.other	Shear stress	en
dc.subject.other	Loading	en
dc.title	A displacement solution for transverse shear loading of composite beams using the boundary element method	en
heal.type	conferenceItem	en
heal.publicationDate	2009	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 composite beams of arbitrary constant cross section. The composite beam (thin or thick walled) consists of materials in contact, each of which can surround a finite number of inclusions. The materials have different elasticity and shear moduli and are firmly bonded together. 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 bending 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. The evaluation of the transverse shear stresses at any interior point is accomplished by direct differentiation of a warping function. 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 only boundary integration, while the coordinates of the shear center are obtained from these functions using again only boundary integration. Three boundary value problems are formulated with respect to corresponding warping functions and solved employing a pure BEM approach. Numerical examples are worked out to illustrate the efficiency, the accuracy and the range of applications of the developed method. The accuracy of the obtained values of the resultant transverse shear stresses compared with those obtained from an exact solution is remarkable. © Civil-Comp Press, 2009.	en
heal.journalName	Proceedings of the 12th International Conference on Civil, Structural and Environmental Engineering Computing	en