Shear Stresses in Elastic Beams: An intrinsic approach

Raffaele Barretta , Annalisa Barretta

The theory of non-uniform flexure and torsion of Saint-Venant's beam with arbitrary multiply connected cross section is revisited in a coordinatefree form to provide a computationally convenient context. Numerical implementations, by Matlab, are performed to evaluate the maximum elastic shear stresses in beams with rectangular cross sections for different Poisson's ratios. The deviations between the maximum and mean stresses are then diagrammed to adjust the results provided by Jourawski's method.

Mots clés: Saint-Venant's beam; elastic shear stresses; rectangular cross section

Raffaele Barretta, Annalisa Barretta. Shear Stresses in Elastic Beams: An intrinsic approach. European Journal of Mechanics - A/Solids, 2009, 29 (3), pp.400. ⟨10.1016/j.euromechsol.2009.10.008⟩. ⟨hal-00551036⟩