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A Model of Joined Beams as Limit of a 2 D Plate

A Model of Joined Beams as Limit of a 2 D Plate,10.1007/s10659-010-9281-6,Journal of Elasticity,Antonio Gaudiello,Elvira Zappale

A Model of Joined Beams as Limit of a 2 D Plate  
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In this paper, we consider an elastic multi-structure composed of two joined beams forming an angle at the junction, clamped at the three extremities and submitted to forces transverse to the plane containing the skeleton of the multi-structure. We derive the equilibrium configuration of the transverse displacement and the torsional rotation of the multi-structure, via an asymptotic analysis based on a dimensional reduction of a Kirchhoff-Love plate. More generally, we obtain the equilibrium configuration of the transverse displacement and the torsional rotation of a multi-structure whose skeleton is composed of a line and a planar curve joined together.
Journal: Journal of Elasticity - J ELAST , vol. 103, no. 2, pp. 205-233, 2011
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