Abstract
ABSTRACT The principle of minimum total potential energy is used to calculate an approximate solution for the warping function for a hollow shaft with a circular outer and a square inner boundary. A complex polynomial series is used to generate coordinate functions that satisfy the stress-free boundary condition on the circular boundary and meet symmetry conditions imposed by the stress-free square boundary. Numerical results, obtained by the Ritz method, show the effect of the cavity on torsional stiffness and the shear stress.
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