Machine Design
The objective of 'crowning' of the flat pulleys of belt drive is to

Prevent the belt joint from damaging the belt surface
Increase the belt velocity
Increase the power transmission capacity
Prevent the belt from running off the pulley

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Machine Design
For same pulley diameters, center distance, belt speed and belt and pulley materials,

Open and crossed belt drives transmit same power
Crossed belt drive transmits more power than open belt drive
Power transmission does not depend upon open and crossed types of constructions
Open belt drive transmits more power than crossed belt drive

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