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Belt Length Calculator

Here's a handy littly tool we wished was around a long time ago. It will calculate the length of any fan belt for you. Simply plug in diameters of the pulleys and the distance between the centerline of each pulley and click the "Calculate" button. The page will reload and your answer will appear at the bottom of the new page.

NOTE: It does not matter what units you enter your values in (i.e. inches vs. millimeters) so long as you are consistent. If you enter inches your results will be in inches. If you enter millimeters, your results will be in millimeters. Never measure with a string, cord or other material subject to stretch. ALWAYS use a steel tape drawn tightly around pulleys. If there is a tolerance, pulleys should be nearly closed. For V- or U-shaped pulleys, measure INSIDE pulley grooves. Include take-up allowance.

Two Pulley Systems:

This setup is easy. Just measure the diameter of each pulley and the center distance between them.

Here is the formula we use:
BL=(2 x SQRT(C12 + (.5 * D1 - .5 * D2))) + (0.5 x 3.1415 x (D1+D2))
Where:
C1 = Centerline
D1, D2 = Diameter of pulleys

Diameter of smaller pulley (D1)

Diameter of larger pulley (D2)

Centerline distance between the pulleys (C)

 
 

 

Three Pulley Systems:

Three pulley systems require alittle more work on your part (and alot more math on mine). It is no longer sufficient to simply know the diameters and center distances of the pulleys, but you must also calculate the angle of the triangle formed by the center distances. Use a protractor (remember these from school?) to determine the angles.

Here is the formula we use:

L=C1 + C2 + C3 +1/2[(R2-R1)2/C12 + (R3-R1)2/C13 + (R3-R2)2/C23] + p ( R1 + R2 + R3) – (a 1R1 + a 2R2 + a 3R3)

where:

R1, R2 , R3 = Radi of the three pulleys
C1, C2, C3= center distances
a 1, a 2, a 3 = angles (in radians) of the triangle formed by the center distances

Diameter of smallest pulley (D1)

Diameter of medium pulley (D2)

Diameter of largest pulley (D3)

Angle in Degrees (A1)

Angle in Degrees (A2)

Angle in Degrees (A3)

Centerline distance between the pulleys D1 and D2 (C1)

Centerline distance between the pulleys D2 and D3 (C2)

Centerline distance between the pulleys D3 and D1 (C3)

 
 

 

 

 

 


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