Machine Design
If P1 and P2 are the tight and slack side tensions in the belt, then the initial tension Pi (according to Barth) will be equal to (Where, Pc is centrifugal tension)

[(√P1 + √P2)/2]²
P1 + P2
[⅟₂ × (P1 + P2)] + Pc
⅟₂× (P1 + P2)

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Machine Design
Crowning on pulley helps

In increasing the slip of the belt
To increase pulley life
To keep the belt in centre on a pulley while it is in motion
In decreasing the slip of the belt

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