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https://hdl.handle.net/11681/2738| Title: | Elastic plates with simply supported straight boundaries, resting on a liquid foundation |
| Authors: | University of Denver New York University. Institute of Mathematical Sciences Kerr, Arnold D. |
| Keywords: | Elasticity Elastic shells Elastic plates Ice Floating ice Mathematical models Mathematical analysis Ice cover strength Ice strength Flexural strength Ice mechanics Shear properties Deformation |
| Publisher: | U.S. Army Snow, Ice, and Permafrost Research Establishment. Engineer Research and Development Center (U.S.) |
| Series/Report no.: | Research report (U.S. Army Snow |
| Description: | Research Report Summary: The deflection expression of an infinite plate subjected to a concentrated force is used with the "method of images" to obtain solutions for 6 plates with simply supported edges. The semi-infinite plate, the wedge-shaped plate, and its special case, the rectangular corner plate, are solved in closed form; and the infinite strip, the semi-infinite strip, and the rectangular plate are solved as rapidly convergent series. Behavior under a concentrated force is studied in more detail for the semi-infinite plate and the rectangular corner plate. Relationships for obtaining bending moments, shear forces and reaction distributions as well as derivatives of the kei-function with respect to 𝗋 and 𝛳 are given in the appendices. |
| Rights: | Approved for public release; distribution is unlimited. |
| URI: | http://hdl.handle.net/11681/2738 |
| Appears in Collections: | Research Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| SIPRE-Research-Report-59.pdf | 690.08 kB | Adobe PDF |  View/Open |