MecMovies 4.0 : M6.18: Motor-driven Shafts

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.

1. Begin the solution of this problem by computing the torque $T_{1}$ produced in shaft $(1)$ by the $15 - hp$ motor rotating at $1, 800 rpm$ . Take particular note of the unit conversions required for dimensional consistency.

2. Use $T_{1}$ and the gear ratio to compute the torque $T_{2}$ produced in shaft $(2)$ .

3. Use the elastic torsion formula to compute the shear stress magnitudes in each shaft.