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.

The torque magnitude in shaft $(2)$ as well as the magnitude of the torque acting on gear $D$ is equal to the torque applied to gear $C$ .

$T_{2} = T_{D} = T_{C} = 131.303 lb - ft$

The torque magnitudes in shafts $(1)$ and $(2)$ have been determined. The magnitudes alone are sufficient to compute the shear stress magnitudes in each shaft. However, to determine the rotation angle of gear $D$ with respect to flange $A$ , the proper signs must be determined for $T_{1}$ and $T_{2}$ . The proper signs will be established before beginning the rotation angle calculation.