Chains & Sprockets

Chain Center Distance Calculator

Back-calculate the approximate center distance for a two-sprocket roller-chain drive from selected chain length.

Inputs

Formula

Inverse two-sprocket chain-length approximation

C = (P/4) * [B + sqrt(B^2 - 2(Z2-Z1)^2/pi^2)], where B = L - (Z1+Z2)/2

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

Chain length
120 pitches
Driver sprocket teeth
19 teeth
Driven sprocket teeth
57 teeth
Chain pitch
12.7 mm

Result

Approximate center distance
514.97 mm

Related calculators

Continue your workflow with a related calculation.

View all Chains & Sprockets calculators

Frequently asked questions

Should chain length be an even number of pitches?

An even pitch count is commonly preferred because odd lengths may require an offset or cranked link.

Is this exact for installation?

It is an engineering approximation for a two-sprocket drive. Allow for tension adjustment and verify against manufacturer guidance.