Belts & Pulleys

Belt Length Calculator

Enter the two pulley diameters and shaft center distance to estimate the required open-belt length.

Inputs

Formula

Open-belt length approximation

L = 2C + (pi/2)(D + d) + (D - d)^2 / (4C)

Worked example

Using the default values shown in the calculator, the same formula gives the following result. This is a quick sanity check for the calculation, not a design recommendation.

Inputs

Large pulley diameter
200 mm
Small pulley diameter
100 mm
Center distance
500 mm

Result

Estimated belt length
1,476.24 mm

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Frequently asked questions

What formula does this belt length calculator use?

It uses the common open-belt approximation based on center distance and the two pulley diameters.

Can I mix millimeters and inches?

Yes. Each length input is converted to a common base unit before calculation.

Is this the exact belt size to buy?

Use it as a design estimate. Actual belt selection can depend on pitch line, groove geometry, tension allowance, and available standard sizes.