Bicycle chainline offset calculator

Calculate front ring plane right of bicycle centre and reference rear cog plane right of centre with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use front ring plane right of bicycle centre and reference rear cog plane right of centre to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Bottom-bracket shell width (mm)
68
Front ring plane right of right shell face (mm)
15
Rear hub locknut width (mm)
135
Drive locknut to reference cog plane, inward (mm)
20
Axial separation between sprocket planes (mm)
400
Front ring plane right of bicycle centre (mm)
49
Reference rear cog plane right of centre (mm)
47.5
Front minus rear chainline (mm)
1.5
Ideal lateral chain angle (degrees)
0.214858

Try another scenario

Bottom-bracket shell width (mm)
68
Front ring plane right of right shell face (mm)
13.5
Rear hub locknut width (mm)
135
Drive locknut to reference cog plane, inward (mm)
20
Axial separation between sprocket planes (mm)
400
Front ring plane right of bicycle centre (mm)
47.5
Reference rear cog plane right of centre (mm)
47.5
Front minus rear chainline (mm)
0
Ideal lateral chain angle (degrees)
0
Calculation method

Calculation method

Front ring plane right of bicycle centre (mm)

Shell width/2+entered ring offset.

Reference rear cog plane right of centre (mm)

Rear locknut width/2−entered cog inset.

Front minus rear chainline (mm)

Front plane−rear plane; positive means front lies farther right.

Ideal lateral chain angle (degrees)

atan2(front−rear plane,axial separation), in degrees.

Symbols and units
a
Bottom-bracket shell width (mm)
b
Front ring plane right of right shell face (mm)
c
Rear hub locknut width (mm)
d
Drive locknut to reference cog plane, inward (mm)
e
Axial separation between sprocket planes (mm)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • A comparison to one specified rear cog plane. It does not choose the proper chainline, model the entire cassette or approve drivetrain compatibility.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Sheldon Brown: chainline measurements ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

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