Problem Statement: Design a belt drive to transmit 2000 watts of power over a distance of 3 meters. The driver pulley is connected to a motor running at 1500 RPM, and the belt material is made of rubber. The coefficient of friction between the belt and pulley is assumed to be 0.3. Calculate the appropriate dimensions for the belt and pulleys.
Step 1: Power to be transmitted:
The power transmitted by the belt drive is given as:
Step 2: Driver Pulley Speed and Pulley Diameters:
Assuming the driver pulley speed
The velocity ratio
Step 3: Belt Speed:
The belt speed
Substituting the known values:
Step 4: Power Transmission Capacity of the Belt:
The power transmitted by the belt can be expressed as:
Where
Assuming
Step 5: Tensions in the Belt:
The power equation becomes:
Substitute
Solving for
Now, calculate
Step 6: Belt Dimensions:
The cross-sectional area
For rubber, the allowable tensile stress
Assuming a rectangular cross-section with width-to-thickness ratio of 2:1:
Thus, the belt dimensions are: