Theory of Machine
The natural frequency of free transverse vibrations due to a point load acting over a simply supported shaft is equal to (where δ = Static deflection of a simply supported shaft due to the point load)

0.5615/√δ
0.571/√δ
0.6253/√δ
0.4985/√δ

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Theory of Machine
The contact ratio is given by

(Length of path of recess)/(Circular pitch)
(Length of the path of approach)/(Circular pitch)
(Length of the arc of contact)/(Circular pitch)
(Length of the arc of approach)/cosφ

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