Asymptotic Derivation of Shear Beam Theory from Timoshenko TheorySource: Journal of Engineering Mechanics:;2007:;Volume ( 133 ):;issue: 008Author:Dewey H. Hodges
DOI: 10.1061/(ASCE)0733-9399(2007)133:8(957)Publisher: American Society of Civil Engineers
Abstract: A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young’s modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the opposite trends for agreement between Timoshenko and Euler–Bernoulli theories.
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| contributor author | Dewey H. Hodges | |
| date accessioned | 2017-05-08T22:41:15Z | |
| date available | 2017-05-08T22:41:15Z | |
| date copyright | August 2007 | |
| date issued | 2007 | |
| identifier other | %28asce%290733-9399%282007%29133%3A8%28957%29.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/86464 | |
| description abstract | A systematic reduction of Timoshenko beam theory to shear beam theory is presented and compared to a parallel reduction to Euler–Bernoulli theory. The agreement between Timoshenko and shear theories is seen to improve as the ratio of Young’s modulus to shear modulus increases, as the mode number increases, and as the beam becomes fatter, which are the opposite trends for agreement between Timoshenko and Euler–Bernoulli theories. | |
| publisher | American Society of Civil Engineers | |
| title | Asymptotic Derivation of Shear Beam Theory from Timoshenko Theory | |
| type | Journal Paper | |
| journal volume | 133 | |
| journal issue | 8 | |
| journal title | Journal of Engineering Mechanics | |
| identifier doi | 10.1061/(ASCE)0733-9399(2007)133:8(957) | |
| tree | Journal of Engineering Mechanics:;2007:;Volume ( 133 ):;issue: 008 | |
| contenttype | Fulltext |