American Society of Civil Engineers

Unbonded Contact of Finite Timoshenko Beam on Elastic Layer

by Hui Li, (Res. Asst., Dept. of Civ. and Envir. Engrg., Clarkson Univ., Potsdam, NY, 13676) and John P. Dempsey, M.ASCE, (Assoc. Prof., Dept. of Civ. and Envir. Engrg., Clarkson Univ., Potsdam, NY 13676)

Journal of Engineering Mechanics, Vol. 114, No. 8, August 1988, pp. 1265-1284, (doi:

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Document type: Journal Paper
Abstract: The problems of unbonded contact between a finite Timoshenko beam and an elastic layer are considered in this paper. The two bodies are assumed to be in frictionless contact, the contact being maintained only by compressive stresses. The extent of contact and the distribution of contact stress are the primary unknown quantities. The layer is assumed homogeneous and underlain by a rigid base, with the lower boundary being either perfectly bonded or smooth. Shear deformation is considered using Timoshenko beam theory. The contact problem reduces to the solution of an integral equation for the unknown contact pressure p(x) over an unknown contact region lc. Possible pressure singularities at the beam ends are incorporated into the formulation. Comparisons are made with relevant theoretical, numerical, and experimental results. An approximate expression is suggested for the contact pressure under a symmetric load.

ASCE Subject Headings:
Integral equations
Shear deformation
Contact pressure