Shear deformation effect in plates stiffened by parallel beams

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:31:51Z
dc.date.available	2014-03-01T01:31:51Z
dc.date.issued	2009	en
dc.identifier.issn	0939-1533	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19964
dc.subject	Bending	en
dc.subject	Boundary element method	en
dc.subject	Elastic stiffened plate	en
dc.subject	Nonuniform torsion	en
dc.subject	Reinforced plate with beams	en
dc.subject	Reissner's theory	en
dc.subject	Ribbed plate	en
dc.subject	Shear deformation	en
dc.subject	Slab-and-beam structure	en
dc.subject	Warping	en
dc.subject.classification	Mechanics	en
dc.subject.other	Bending	en
dc.subject.other	Elastic stiffened plate	en
dc.subject.other	Nonuniform torsion	en
dc.subject.other	Reinforced plate with beams	en
dc.subject.other	Reissner's theory	en
dc.subject.other	Ribbed plate	en
dc.subject.other	Slab-and-beam structure	en
dc.subject.other	Warping	en
dc.subject.other	Bending (deformation)	en
dc.subject.other	Differential equations	en
dc.subject.other	Numerical methods	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Prestressed beams and girders	en
dc.subject.other	Shear deformation	en
dc.subject.other	Torsional stress	en
dc.subject.other	Traction (friction)	en
dc.subject.other	Weaving	en
dc.subject.other	Boundary element method	en
dc.title	Shear deformation effect in plates stiffened by parallel beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s00419-008-0262-1	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s00419-008-0262-1	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	In this paper a general solution for the analysis of shear deformable stiffened plates subjected to arbitrary loading is presented. According to the proposed model, the arbitrarily placed parallel stiffening beams of arbitrary doubly symmetric cross section are isolated from the plate by sections in the lower outer surface of the plate, taking into account the arising tractions in all directions at the fictitious interfaces. These tractions are integrated with respect to each half of the interface width resulting two interface lines, along which the loading of the beams as well as the additional loading of the plate is defined. Their unknown distribution is established by applying continuity conditions in all directions at the interfaces. The utilization of two interface lines for each beam enables the nonuniform distribution of the interface transverse shear forces and the nonuniform torsional response of the beams to be taken into account. The analysis of both the plate and the beams is accomplished on their deformed shape taking into account second-order effects. The analysis of the plate is based on Reissner's theory, which may be considered as the standard thick plate theory with which all others are compared, while the analysis of the beams is performed employing the linearized second order theory taking into account shear deformation effect. Six boundary value problems are formulated and solved using the analog equation method (AEM), a BEM based method. The solution of the aforementioned plate and beam problems, which are nonlinearly coupled, is achieved using iterative numerical methods. The adopted model permits the evaluation of the shear forces at the interfaces in both directions, the knowledge of which is very important in the design of prefabricated ribbed plates. The effectiveness, the range of applications of the proposed method and the influence of shear deformation effect are illustrated by working out numerical examples with great practical interest. © 2008 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Archive of Applied Mechanics	en
dc.identifier.doi	10.1007/s00419-008-0262-1	en
dc.identifier.isi	ISI:000269186000002	en
dc.identifier.volume	79	en
dc.identifier.issue	10	en
dc.identifier.spage	893	en
dc.identifier.epage	915	en