Consider a prismatic bar of length L and elliptical cross section with width 2a and height 2b under torsion. The bar is fixed at one end and a torque, T , is applied at the other. y b Ts a x L Figure 1. (a) At what point is the magnitude of the stress function (Prandtl's Stress Function) greatest and what are the values of the shear stress components xz and yz at this point? (b) What is the angular displacement of the point initially at P = (a, 0, L)? (c) Would a prismatic bar made from the same material and having equal cross-sectional area, but of circular cross section be more or less resistant to torsion than the elliptical bar? Justify your answer. Recall that the area of an ellipse with major radius a and minor radius b is Aellipse = ab, and note the identity ab/(a2 b2) 1/2 for all a and b