State the Problem  
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Diagram shows two shafts marked 1 and 2 of length 36 inches and 96 inches respectively. They are connected by two gears at B which has 24 teeth on the shaft 1 and at C which has 72 teeth on the shaft 2. The shaft 1 is connected to a motor at A. The shaft 2 has a gear at D on which a torque T subscript D is applied.

The motor shown supplies 15 hp at 1,800 rpm at A. Shaft (1) is a solid 0.75-in. diameter shaft, and shaft (2) is a solid 1.50-in. diameter shaft. Both shafts are made of steel G=12,000 ksi. The bearings shown permit free rotation of the shafts.

a) Determine the maximum shear stress produced in each shaft.

b) Determine the rotation angle of gear D with respect to flange A.