The torsional assembly shown in the figure consists of a solid 70-mm-diameter aluminum [G = 27 GPa] segment (2) and two bronze [G = 42 GPa] tube segments (1) and (3), each of which has an outside diameter of 90 mm and a wall thickness of 4 mm. If concentrated torques of TB = 11 kN-m and TC = 11 kN-m are applied in the directions shown, determine
(a) the maximum shear stress magnitude in bronze tube segments (1) and (3).
(b) the maximum shear stress magnitude in aluminum segment (2).
(c) the rotation angle of joint C.
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