MecMovies 4.0 : M6.4: Allowable Torque in a Pipe Shaft

The diagram shows a torque exerted on a hollow shaft attached to a wall.

The elastic torsion formula:

$τ = \frac{Tc}{J}$

expresses the relationship between torque and shear stress in a shaft. This equation will be used to determine the torque $T$ that causes the specified allowable shear stress $τ$ .

To use this equation, the polar moment of inertia $J$ for the hollow shaft will be computed from:

$J = \frac{π}{32} (D^{4} - d^{4})$

An annular ring is plotted on an z y coordinate system. The inner diameter of the ring is lower d and the outer diameter is upper D.