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

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Machine Design
In the calculation of induced shear stress in helical springs, the Wahl's stress factor is used to take care of

Combined effect of torsional shear stress and transverse shear stress in the wire
Combined effect of bending stress and curvature of the wire
Combined effect of transverse shear stress and curvature of wire
Combined effect of transverse shear stress and bending stress in the wire

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Machine Design
In order to determine the stresses in a thin cylinder due to an internal pressure, it is assumed that

The tensile stresses are uniformly distributed over the section of the walls
All of these
The effect of curvature of the cylinder wall is neglected
The effect of the restraining action of the heads at the end of the pressure vessel is neglected

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