A three-dimensional beam including torsional warping and shear deformation effects arising from shear forces and secondary torsional moments

Mokos, VG; Sapountzakis, EJ

dc.contributor.author	Mokos, VG	en
dc.contributor.author	Sapountzakis, EJ	en
dc.date.accessioned	2014-03-01T02:52:51Z
dc.date.available	2014-03-01T02:52:51Z
dc.date.issued	2011	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/36112
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-84858431147&partnerID=40&md5=32515c7070efe1a042ce0f3e9b9f2bfd	en
dc.subject	Boundary element method	en
dc.subject	Secondary torsion constant	en
dc.subject	Secondary torsional moment deformation effect	en
dc.subject	Stiffness matrix	en
dc.subject	Warping function	en
dc.subject.other	Closed form	en
dc.subject.other	Cross section	en
dc.subject.other	Discretizations	en
dc.subject.other	Internal forces	en
dc.subject.other	Its efficiencies	en
dc.subject.other	Longitudinal displacements	en
dc.subject.other	Nodal loads	en
dc.subject.other	Numerical results	en
dc.subject.other	Secondary torsion constant	en
dc.subject.other	Shear deformation coefficients	en
dc.subject.other	Shear deformation effects	en
dc.subject.other	Shear force	en
dc.subject.other	Spatial structure	en
dc.subject.other	Strain energy approach	en
dc.subject.other	Stress functions	en
dc.subject.other	Torsional moment	en
dc.subject.other	Torsional warping	en
dc.subject.other	Warping function	en
dc.subject.other	Boundary element method	en
dc.subject.other	Box girder bridges	en
dc.subject.other	Computer aided engineering	en
dc.subject.other	Environmental engineering	en
dc.subject.other	Numerical methods	en
dc.subject.other	Shear deformation	en
dc.subject.other	Stiffness matrix	en
dc.subject.other	Shear flow	en
dc.title	A three-dimensional beam including torsional warping and shear deformation effects arising from shear forces and secondary torsional moments	en
heal.type	conferenceItem	en
heal.publicationDate	2011	en
heal.abstract	In this paper a boundary element method is developed for the construction of an extended 14×14 stiffness matrix and the corresponding nodal load vector of a member of arbitrary doubly symmetric constant cross section taking into account both torsional warping and shear deformation effects due to shear forces and secondary torsional moment. To account for shear deformations, the concept of shear deformation coefficients is used, defining these factors employing a strain energy approach. Eight boundary value problems with respect to the variable along the beam total angle of twist, to the primary and secondary torsional warping functions, to the beam transverse and longitudinal displacements and to two stress functions are formulated and solved employing a pure BEM approach, that is only boundary discretization is used. The evaluation of the shear deformation coefficients is accomplished from the aforementioned warping and stress functions. Numerical results are presented to illustrate the method and demonstrate its efficiency and accuracy. The discrepancy of both the deflections and the internal forces of a member of a spatial structure arising from the ignorance of the shear deformation effect due to secondary torsional moment necessitates the inclusion of this additional effect especially in closed form cross section members. © Civil-Comp Press, 2011.	en
heal.journalName	Proceedings of the 13th International Conference on Civil, Structural and Environmental Engineering Computing	en