Belts & Pulleys

Belt Center Distance Calculator

Back-calculate the approximate shaft center distance for an open belt using belt length and pulley diameters.

Inputs

Formula

Inverse open-belt approximation

C = (Y + sqrt(Y^2 - 2(D-d)^2)) / 4, where Y = L - (pi/2)(D+d)

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

Belt length
1,500 mm
Large pulley diameter
200 mm
Small pulley diameter
100 mm

Result

Estimated center distance
511.94 mm

Related calculators

Continue your workflow with a related calculation.

View all Belts & Pulleys calculators

Frequently asked questions

Is this the inverse of the belt length calculator?

Yes. It algebraically solves the same common open-belt approximation for center distance.

Why might my installed center distance differ?

Standard belt lengths, tensioning travel, pulley geometry, and the belt manufacturer's length convention can change the final installation.