Machine Design
The relation between the pitch of the chain (p) and pitch circle diameter of the sprocket (D) is given by (where T = Number of teeth on the sprocket)

p = D sin (120°/T)
p = D sin (360°/T)
p = D sin (180°/T)
p = D sin (90°/T)

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Machine Design
Spring stiffness is

Its ability to absorb shocks
Its capability of storing energy
Load required to produce unit deflection
Ratio of coil diameter to wire diameter

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