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CivilComp Proceedings
ISSN 17593433 CCP: 83
PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping, G. Montero and R. Montenegro
Paper 13
Analysis of Plates Stiffened by Beams of Arbitrary Cross Section E.J. Sapountzakis and V.G. Mokos
Institute of Structural Analysis and Seismic Research, School of Civil Engineering, National Technical University, Athens, Greece E.J. Sapountzakis, V.G. Mokos, "Analysis of Plates Stiffened by Beams of Arbitrary Cross Section", in B.H.V. Topping, G. Montero, R. Montenegro, (Editors), "Proceedings of the Eighth International Conference on Computational Structures Technology", CivilComp Press, Stirlingshire, UK, Paper 13, 2006. doi:10.4203/ccp.83.13
Keywords: elastic stiffened plate, reinforced plate with beams, bending, ribbed plate, analog equation method.
Summary
A general solution for the analysis of plates stiffened by arbitrarily placed
nonintersecting beams of arbitrary cross section is presented. The adopted structural
model is a refined one of that proposed by Sapountzakis and Katsikadelis in [1].
According to this 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 (Figure 1). The aforementioned integrated tractions
result in the loading of the beams as well as the additional loading of the plate. Their
distribution is established applying continuity conditions in all directions at the
interfaces. 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 nonuniform angle of
twist are formulated and solved using the analog equation method (AEM), a
BEM based method employing a boundary integral equation approach [2]. The
solution of the aforementioned plate and beam problems, which are nonlinearly
coupled, is achieved using iterative numerical methods. The essential features and
novel aspects of the present formulation compared with previous ones are
summarized as follows.
The adopted model better describes the actual response of the plate beam 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. References
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