MecMovies 4.0 : M6.8: Maximum Torque Based on Twist Angle

Diagram shows a shaft A B C containing two gears at B and C which is connected to a motor A where the torques of 20 Newton meter and T subscript c is applied on B and C and the distance A B is 1400 millimeters and BC is 1000 millimeters. The x axis is taken along the axis of the gears and the y axis is taken along the motor support at A and perpendicular to the x axis.

The solid steel $(G = 80 GPa)$ shaft between coupling $A$ and gear $B$ has a diameter of $35 mm$ . Between gears $B$ and $C$ , the diameter of the solid shaft is reduced to $25 mm$ .

At gear $B$ , a $20 N - m$ concentrated torque is applied to the shaft in the direction indicated. A concentrated torque $T_{C}$ will be applied at gear $C$ .

If the total angle of rotation at $C$ with respect to $A$ is not to exceed $1^{\circ}$ , determine the magnitude of torque $T_{C}$ that can be applied in the direction shown.