Show that the torsional strain energy of a solid circular shaft transmitting power at a constant...

Show that the torsional strain energy of a solid circular shaft transmitting power at a constant speed
is given by the equation:

U = (shear stress^2/4G) * volume.

Such a shaft is 0.06 m in diameter and has a flywheel of mass 30 kg and radius of gyration 0.25 m situated at a
distance of 1.2 m from a bearing. The flywheel is rotating at 200 rev/min when the bearing suddenly seizes. Calculate
the maximum shear stress produced in the shaft material and the instantaneous angle of twist under these conditions.
Neglect the shaft inertia. For the shaft material G = 80 GN/m^2.

Expert Solution

samet mamat answered 14 hours ago

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