MecMovies 4.0 : M6.7: Multiple Torques

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 600 Newton meter and 200 Newton meter is applied on B and C and the distance A B is 100 millimeter and B C is 300 millimeter. 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 elastic torsion formula will be used to compute the shear stress in shaft segments $(1)$ and $(2)$ :

$τ = \frac{Tc}{J}$

The elastic torsion formula will be used to compute the shear stress in shaft segments $(1)$ and $(2)$ :

$ϕ = \frac{TL}{JG}$

For both formulas, the polar moment of inertia will be computed from:

$J = \frac{π}{32} d^{4}$

The torque in shafts $(1)$ and $(2)$ will be determined from equilibrium. It will be useful to plot the torques in shafts $(1)$ and $(2)$ in a torque diagram.

After finding $T_{1}$ and $T_{2}$ , the angles of twist $ϕ_{1}$ and $ϕ_{2}$ in each shaft will be determined.

The rotation angle at $C$ will be found by summing $ϕ_{1}$ and $ϕ_{2}$ .