The spokes in a large flywheel are modeled as beams fixed at one end and loaded by a force P and a couple M0 at the other (see figure). The cross sections of the spokes are elliptical with major and minor axes (height and width, respectively) having the lengths shown in the figure part (a). The cross-sectional dimensions vary linearly from end A to end B. Considering only the effects of bending due to the loads P and M0, determine the following quantities.
(a) The largest bending stress σA at end A
(b) The largest bending stress σB at end B
(c) The distance x to the cross section of maximum bending stress
(d) The magnitude σmax of the maximum bending stress
(e) Repeat (d) if uniform load q(x) = 10P/3L is added to loadings P and M0, as shown in the figure part (b

10P q(x) = 31, P=12kN Mo= 10 kNm . L = 1.25 m L= 1.25 m A 90 mm hB 120 mm b 60 mm bB 80 mnm