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Structural Engineering and Mechanics
  Volume 67, Number 4, August25 2018, pages 385-390
DOI: http://dx.doi.org/10.12989/sem.2018.67.4.385
 


The use of generalized functions modeling the concentrated loads on Timoshenko beams
Giovanni Falsone

 
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
 

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