Analysis of plates stiffened by parallel beams

Sapountzakis, EJ; Mokos, VG

dc.contributor.author	Sapountzakis, EJ	en
dc.contributor.author	Mokos, VG	en
dc.date.accessioned	2014-03-01T01:25:55Z
dc.date.available	2014-03-01T01:25:55Z
dc.date.issued	2007	en
dc.identifier.issn	0029-5981	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17813
dc.subject	Analog equation method	en
dc.subject	Bending	en
dc.subject	Boundary element method	en
dc.subject	Elastic stiffened plate	en
dc.subject	Non-uniform torsion	en
dc.subject	Reinforced plate with beams	en
dc.subject	Ribbed plate	en
dc.subject	Slab-and-beam structure	en
dc.subject	Warping	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Mathematics, Interdisciplinary Applications	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Mathematical models	en
dc.subject.other	Stiffness	en
dc.subject.other	Analog equation method	en
dc.subject.other	Prefabricated ribbed plates	en
dc.subject.other	Warping	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Beams and girders	en
dc.subject.other	Boundary element method	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Deflection (structures)	en
dc.subject.other	Mathematical models	en
dc.subject.other	Plates (structural components)	en
dc.subject.other	Stiffness	en
dc.title	Analysis of plates stiffened by parallel beams	en
heal.type	journalArticle	en
heal.identifier.primary	10.1002/nme.1918	en
heal.identifier.secondary	http://dx.doi.org/10.1002/nme.1918	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	In this paper a general solution for the analysis of plates stiffened by parallel beams subjected to an arbitrary loading is presented. According to the proposed model, the stiffening beams 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. The aforementioned integrated tractions result in the loading of the beams as well as the additional loading of the plate. Their distribution is established by applying continuity conditions in all directions at the interfaces. The analysis of both the plate and the beams is accomplished on their deformed shape taking into account second-order effects. Six boundary value problems with respect to the plate transverse deflection, to the plate inplane displacement components, to the beam transverse deflections, to the beam axial deformation and to the beam non-uniform angle of twist are formulated and solved using the analog equation method (AEM), a boundary element method (BEM)based method employing a boundary integral equation approach. The solution of the aforementioned plate and beam problems, which are non-linearly coupled, is achieved using iterative numerical methods. The adopted model describes better the actual response of the plate beams system and 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 evaluated lateral deflections of the plate-beams system are found to exhibit considerable discrepancy from those of other models, which neglect inplane and axial forces and deformations. Copyright (c) 2006 John Wiley & Sons, Ltd.	en
heal.publisher	JOHN WILEY & SONS LTD	en
heal.journalName	International Journal for Numerical Methods in Engineering	en
dc.identifier.doi	10.1002/nme.1918	en
dc.identifier.isi	ISI:000246981700003	en
dc.identifier.volume	70	en
dc.identifier.issue	10	en
dc.identifier.spage	1209	en
dc.identifier.epage	1240	en