Chains & Sprockets

Chain Length Calculator

Calculate theoretical roller-chain length for a two-sprocket drive and the next whole even pitch count.

Inputs

Formula

Two-sprocket chain length approximation

L = (Z1+Z2)/2 + 2C/P + ((Z2-Z1)^2 * P)/(4*pi^2*C)

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

Driver sprocket teeth
19 teeth
Driven sprocket teeth
57 teeth
Center distance
500 mm
Chain pitch
12.7 mm

Result

Theoretical chain length
117.67 pitches
Next whole even length
118 pitches
Approx. physical length at even pitch count
1,498.6 mm

Related calculators

Continue your workflow with a related calculation.

View all Chains & Sprockets calculators

Frequently asked questions

Why does the calculator show an even pitch count?

A practical chain length is usually selected as a whole even number of pitches to avoid an offset or cranked link when possible.

What center distance is typical?

Manufacturer guidance commonly uses a center-distance range on the order of tens of chain pitches; verify the final drive against the chain manufacturer's design guidance.

Is the physical length the same as center distance?

No. Physical chain length is the selected number of pitches multiplied by chain pitch; center distance is the shaft-to-shaft spacing.