A shaft is made of a polymer having an elliptical cross section. If it resists an internal moment of M = 50 N ˆ™ m, determine the maximum bending stress in the material

(a) Using the flexure formula, where I_z = ¼ Ï€(0.08 m)(0.04 m)³,

(b) Using integration. Sketch a three-dimensional view of the stress distribution acting over the cross-sectional area. Here I_x = ¼ Ï€(0.08 m)(0.04 m)³.

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(40)2 (80)? 80 mm M= 50 N-m 160 mm