A simplified model of a flywheel as shown in Figure P9-27 is considered as a uniform thin

Question:

A simplified model of a flywheel as shown in Figure P9-27 is considered as a uniform thin disk with center hole for mounting on a shaft. Assume the flywheel with inner radius of hole of 1 inch and outer radius of the flywheel of 4 inches. Assume the flywheel is made of 1045 high carbon steel. The flywheel shaft is turning at 2000 rpm. Determine:

(a) The highest circumferential stress in the flywheel and its radial location. Compare this value to that obtained using analytical equations for a rotating thin hollow disk.

(b) What speed can the flywheel tolerate before yielding based on the maximum distortional energy theory (MDET)?

(c) If the flywheel is instead made of 6061-T6 aluminum alloy, what maximum speed can the flywheel tolerate based on MDET?

Figure P9-27