contributor author | James R. Hutchinson | |
contributor author | Professor Emeritus | |
contributor author | Life Mem. ASME | |
date accessioned | 2017-05-09T00:12:07Z | |
date available | 2017-05-09T00:12:07Z | |
date copyright | May, 2004 | |
date issued | 2004 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26577#359_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/129497 | |
description abstract | It was recently shown that the shear coefficient for a rectangular Timoshenko beam is highly dependent on the aspect ratio of the beam. This research investigates the reasons for that behavior by comparison of the Timoshenko beam solution with a new three-dimensional solution for a simply supported beam. The new solution is a series solution that converges to any desired accuracy. Comparisons are also made to both elementary and Mindlin plates. The Mindlin plate solution is in excellent agreement with the three-dimensional solution for the simply supported case, and is used as a basis of comparison for a free-free beam. It is found that a shear coefficient which would cause matching of the three-dimensional and Mindlin solutions would have to be a function of the wave length as well as the aspect ratio. Physical explanations are given for the high dependence on aspect ratio and for the dependence on wave length. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | On Timoshenko Beams of Rectangular Cross-Section | |
type | Journal Paper | |
journal volume | 71 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.1751186 | |
journal fristpage | 359 | |
journal lastpage | 367 | |
identifier eissn | 1528-9036 | |
keywords | Stress | |
keywords | Waves | |
keywords | Poisson ratio | |
keywords | Shear (Mechanics) | |
keywords | Equations | |
keywords | Frequency | |
keywords | Boundary-value problems | |
keywords | Plates (structures) | |
keywords | Thickness AND Simply supported beams | |
tree | Journal of Applied Mechanics:;2004:;volume( 071 ):;issue: 003 | |
contenttype | Fulltext | |