Bicycle crank clearance geometry calculator

Calculate pedal-axle height at entered angle and pedal underside height at entered angle with your own figures.

Your numbers

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

Use pedal-axle height at entered angle and pedal underside height at entered angle to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Bottom-bracket axle height above flat ground (mm)
300
Crank centre-to-centre length (mm)
170
Pedal underside below its axle (mm)
10
Crank angle away from straight down (degrees)
60
Pedal-axle height at entered angle (mm)
215
Pedal underside height at entered angle (mm)
205
Lowest underside height over one upright revolution (mm)
120
Rise above lowest underside position (mm)
85

Try another scenario

Bottom-bracket axle height above flat ground (mm)
300
Crank centre-to-centre length (mm)
170
Pedal underside below its axle (mm)
10
Crank angle away from straight down (degrees)
90
Pedal-axle height at entered angle (mm)
300
Pedal underside height at entered angle (mm)
290
Lowest underside height over one upright revolution (mm)
120
Rise above lowest underside position (mm)
170
Calculation method

Calculation method

Pedal-axle height at entered angle (mm)

BB height−crank length×cos(angle).

Pedal underside height at entered angle (mm)

Pedal-axle height−entered pedal underside offset.

Lowest underside height over one upright revolution (mm)

BB height−crank length−pedal offset.

Rise above lowest underside position (mm)

Entered-angle underside height−lowest underside height.

Symbols and units
a
Bottom-bracket axle height above flat ground (mm)
b
Crank centre-to-centre length (mm)
c
Pedal underside below its axle (mm)
d
Crank angle away from straight down (degrees)

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

  • Upright rigid geometry over flat ground. Negative heights expose overlap in the inputs. Lean, suspension movement, pedal rotation, terrain and riding clearance are outside this model.
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

OpenStax: Euclidean geometry and trigonometric identities ↗

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

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