Beam-Plate System on Winkler Foundation

by Colin B. Brown, (M.ASCE), Prof. of Civ. Engrg.; Univ. of Washington, Seattle, Wash.,
James R. Tilton, Engr.; Bechtel Power Corp., San Francisco, Calif.,
Jacques M. Laurent, Engr.; Paris, France,

Serial Information: Journal of the Engineering Mechanics Division, 1977, Vol. 103, Issue 4, Pg. 589-600

Document Type: Journal Paper


A superposition principle is employed to study the infinite plate reinforced by a centrally loaded finite beam where both rest on a Winkler foundation. The problem is intended to relate to a floating arctic ice ridge embedded in an ice sheet. The ridge is loaded vertically by a vessel breaking ice in a bending mode. After formulating the beam and plate problems separately, connectivity conditions are imposed to link the two parts. The Fourier transform of the plate equations provides the solution technique. Computation of the resulting integrals are completed by the Fast Fourier Transform algorithm. An application to arctic ridges provides the ridge and sheet properties necessary for the finite ridge solution to be essentially the same as that of the infinite ridge. Then the infinite ridge is considered and the proportion of the load isostatically resisted by the ridge and the sheet determined.

Subject Headings: Beams | Plates | Foundations | Load factors | Ice loads | Vertical loads | Fourier analysis | Bending (structural) | Arctic

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