Solved: This problem illustrates that the strength of a

Chapter 5, Problem 5-59

(choose chapter or problem)

This problem illustrates that the strength of a machine part can sometimes be measured in units other than those of force or moment. For example, the maximum speed that a flywheel can reach without yielding or fracturing is a measure of its strength. In this problem you have a rotating ring made of hot-forged AISI 1020 steel; the ring has a 6-in inside diameter and a 10 -in outside diameter and is 0.5 in thick. Using the distortion-energy theory, determine the speed in revolutions per minute that would cause the ring to yield. At what radius would yielding begin? [Note: The maximum radial stress occurs at \(r=\left(r_o r_i\right)^{1 / 2}\); see Eq. (3-55).]