Asolid circular shaft and a tubular shaft, both with the same outer radius of c=co = 0.550 in , are being considered for a particular design. the tubular shaft has an inner radius of ci = 0.300 in the shafts are to be powered by a motor operating at a frequency of f = 2.70 hz and are to handle an attached load. assume the cross sections are uniform throughout the lengths of the shafts and that the materials have an allowable shear stress of τallow = 14.5 ksi .

The power for circular shaft is 7.315 hp and tubular shaft is 6.667 hp

Explanation:

Polar moment of Inertia

      = 0.14374 in 4

Maximum sustainable torque on the solid circular shaft

         =

         = 3658.836 lb.in

         = lb.ft

        = 304.9 lb.ft

Maximum sustainable torque on the tubular shaft

          =

          = 3334.8 lb.in

          = lb.ft

          = 277.9 lb.ft

Maximum sustainable power in the solid circular shaft

          =

          = 4023.061 lb. ft/s

          = hp

          = 7.315 hp

Maximum sustainable power in the tubular shaft

            =

            = 3666.804 lb.ft /s

            = hp

            = 6.667 hp

we need to know the time interval during which the force acts. impulse of force = momentum change