The Elastic Strip With Prescribed End Displacements

[+] Author and Article Information
P. J. Torvik

Department of Mechanics, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio

J. Appl. Mech 38(4), 929-936 (Dec 01, 1971) (8 pages) doi:10.1115/1.3408977 History: Received June 08, 1970; Revised November 17, 1970; Online July 12, 2010


The stresses and displacements in an elastic strip arising from displacements prescribed over one end are determined in terms of the eigenfunctions of the strip, with the coefficients being determined through a variational principle. Certain elementary solutions are included to account for the resultant force and moment induced by an arbitrarily prescribed displacement. Stresses and displacements resulting from pressing a strip against rough flat and parabolic surfaces were determined as were the deflections of a two-dimensional beam with one end built-in and the other subjected to a moment or a shear force. Differences between the results obtained and the predictions of elementary formulas are small.

Copyright © 1971 by ASME
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