312 Deformation of Flexible Shaft Made From Steel Wire Encased in Stationary Tube

Problem 312
A flexible shaft consists of a 0.20-in-diameter steel wire encased in a stationary tube that fits closely enough to impose a frictional torque of 0.50 lb·in/in. Determine the maximum length of the shaft if the shearing stress is not to exceed 20 ksi. What will be the angular deformation of one end relative to the other end? G = 12 × 106 psi.
 

Solution 312

 
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Why is the upper limit 20pi?

Jhun Vert's picture

That is the total length of the shaft L, the solution for $L = 20\pi ~\text{inches}$ is also shown above.