Some Considerations on the Problem of Torsion and Flexure of Prismatical Beams.

摘要

Based on previous work for the problem of end-loaded cantilever beams with loading conditions prescribed in terms of displacements rather than stresses, for the purpose of defining shear center location in terms of influence coefficients, the present report uses the principles of minimum potential and complementary energy for the establishment of upper and lower bounds for influence coefficients is modified. In applying the complementary energy principle an earlier procedure by not departing from a St. Venant stress distribution and by using instead a stress approximation in which both shear and normal stress distributions are determined through use of the variational equation. In doing this the problem is solved more simply than before, for a more general class of cases.