Multiply Loaded Timoshenko Beam on a Stressed Orthotropic Half-Plane via a Thin Elastic Layer

[+] Author and Article Information
H. Bjarnehed

Division of Solid Mechanics, Chalmers University of Technology, S-412 96 Göteborg, Sweden

J. Appl. Mech 60(2), 541-547 (Jun 01, 1993) (7 pages) doi:10.1115/1.2900827 History: Received November 11, 1991; Revised June 08, 1992; Online March 31, 2008


The problem of bonded contact between a uniform finite Timoshenko beam and an orthotropic half-plane via a thin elastic layer is considered in this paper. The beam is loaded by distributions of normal and tangential forces, and a uniaxial stress load is applied to the half-plane. The Timoshenko beam theory is extended in such a way that the tangential load is included when the shear contribution to the beam central line deflection is calculated. The layer is formulated as a generalized Winkler cushion including also shear stresses and strains. Governing singular integral equations are stated and numerically solved for the unknown interface stresses. A comparison with a corresponding FE-model is also performed.

Copyright © 1993 by The American Society of Mechanical Engineers
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