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Shear correction factors (Timoshenko and Reissner models)

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Timoshenko proposed a value of the factor k (kx or ky). He assumed that tsy at the neutral axis NA is the same as in the simplified and in the theoretical models. In the case of the rectangular section:

at y=0 (NA) :



we obtain  k=2/3  =.666



Theoretical model:

        Mindlin without shear correction



Reissner assumed the equivalence between the internal energy associated to the exact distributed shear t and the deformation energy of the simplified beam model. This approach gives a value of k called the Reissner coefficient and in the case of the rectangular section the value of k is 5/6=.833