The Elastic Strip With Prescribed End DisplacementsSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004::page 929Author:P. J. Torvik
DOI: 10.1115/1.3408977Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: 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.
keyword(s): Strips , Force , Stress , Shear (Mechanics) , Variational principles , Eigenfunctions , Deflection , Displacement , Formulas , Surface roughness AND Pressing (Garments) ,
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| contributor author | P. J. Torvik | |
| date accessioned | 2017-05-09T00:47:27Z | |
| date available | 2017-05-09T00:47:27Z | |
| date copyright | December, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25950#929_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/147834 | |
| description abstract | 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. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Elastic Strip With Prescribed End Displacements | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408977 | |
| journal fristpage | 929 | |
| journal lastpage | 936 | |
| identifier eissn | 1528-9036 | |
| keywords | Strips | |
| keywords | Force | |
| keywords | Stress | |
| keywords | Shear (Mechanics) | |
| keywords | Variational principles | |
| keywords | Eigenfunctions | |
| keywords | Deflection | |
| keywords | Displacement | |
| keywords | Formulas | |
| keywords | Surface roughness AND Pressing (Garments) | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004 | |
| contenttype | Fulltext |