On the Bending Problem of Prismatical Beam by Terminal Transverse Load

Abstract

Although the Saint-Venant solution on the bending problem of a prismatical beam by terminal transverse load is presented in all the literature on applied elasticity, the arbitrary constant in that solution has not been determined adequately. The different assumptions on this constant are cited, and it is shown in one particular example that the shearing stress on the cross section is not statically equivalent to the bending force. The definition of the shear center is critically reviewed, as well as some of its implications on recent investigations of turbine-blade vibration.