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

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Machine Design
When a machine member is subjected to torsion, the torsional shear stress set up in the member is

Maximum at the centroidal axis and zero at the outer surface of the member
Maximum at both the centroidal axis and outer surface of the member
Zero at the centroidal axis and maximum at the outer surface of the member
Zero at both the centroidal axis and outer surface of the member

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