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Q5.A steel shaft is 3 m long and has an outside diameter of 100 mm. The shaft is solid for 1 m of its length and hollow for the remainder with an inside diameter of 50 mm. The shaft is fixed at both ends and a torque of 30 kNm is applied at the junction of the solid and hollow sections.

Calculate the maximum torsional shear stress in the shaft material. (16)