| Title |
Trigonometric series applied to bending of thin rectangular plates |
| Publication Type |
thesis |
| School or College |
College of Science |
| Department |
Mathematics |
| Author |
Fletcher, Harvey Jr. |
| Date |
1954-03 |
| Description |
TRIGONOMETRIC SERIES APPLIED TO BENDING OF THIN RECTANGULAR PLATES Harvey Jr. Fletcher From the Department of Mathematics University of Utah In Part I, the sine transform is used to obtain the solution of the problem of a thin rectangular plate on an elastic foundation. A table of inverse sine and cosine transforms is given, with emphasis on inverse transforms of simple rational functions. In Part II, a double sine series is used to solve problems of a rectangular plate which has every edge either clamped, supported, or free. All 81 possible combinations of edge conditions are considered. Considerable attention is given to the role of corner deflections and concentrated loads at corners where two free edges meet . |
| Type |
Text |
| Publisher |
University of Utah |
| Dissertation Institution |
University of Utah |
| Dissertation Name |
Doctor of Philosophy |
| Language |
eng |
| Rights Management |
In the public domain use of this file is allowed in accordance with the Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 United States License, http://creativecommons.org/licenses/by-nc-nd/3.0/us |
| Format |
application/pdf |
| Format Medium |
application/pdf |
| Format Extent |
2,748,387 bytes |
| Identifier |
etd3/id/2490 |
| Conversion Specifications |
Original scanned on Epson GT-30000/Epson Expression 836XL as 400 dpi to pdf using ABBYY FineReader 9.0 Professional Edition. |
| ARK |
ark:/87278/s625203z |
| Setname |
ir_etd |
| ID |
196066 |
| Reference URL |
https://collections.lib.utah.edu/ark:/87278/s625203z |
