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Structural Engineering and Mechanics Volume 67, Number 4, August25 2018 , pages 385-390 DOI: https://doi.org/10.12989/sem.2018.67.4.385 |
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The use of generalized functions modeling the concentrated loads on Timoshenko beams |
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Giovanni Falsone
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| Abstract | ||
| An incongruity is underlined about the analysis of Timoshenko beams subjected to concentrated loads modelled through the use of generalized functions. While for Euler-Bernoulli beams this modeling always leads to effective results, on the contrary, the contemporary assumptions of concentrated external moment, interpreted as a generalized function (doublet), and of shear deformation determine inconsistent discontinuities in the deflection laws. A physical/theoretical explanation of this notneglecting incongruity is given in the text. | ||
| Key Words | ||
| Timoshenko beam; concentrated loads; generalized functions; physical incongruity | ||
| Address | ||
| Giovanni Falsone: Department of Engineering, University of Messina, Contrada Di Dio, 98166 Sant | ||