Steering turning circle geometry calculator

Calculate rear-axle midpoint turn radius and outer-front wheel-center path radius with your own figures.

Your numbers

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

Use rear-axle midpoint turn radius and outer-front wheel-center path radius to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Fixed horizontal wheelbase (m)
2.7
Virtual bicycle-model steering angle (degrees)
30
Rear/front track used in this ideal model (m)
1.6
Rear-axle midpoint turn radius (m)
4.676537
Outer-front wheel-center path radius (m)
6.105936
Inner-rear wheel-center path radius (m)
3.876537
Outer-front wheel-center path diameter (m)
12.211873

Try another scenario

Fixed horizontal wheelbase (m)
2.7
Virtual bicycle-model steering angle (degrees)
45
Rear/front track used in this ideal model (m)
1.6
Rear-axle midpoint turn radius (m)
2.7
Outer-front wheel-center path radius (m)
4.420407
Inner-rear wheel-center path radius (m)
1.9
Outer-front wheel-center path diameter (m)
8.840814
Calculation method

Calculation method

Rear-axle midpoint turn radius (m)

R=wheelbase/tan(virtual steering angle).

Outer-front wheel-center path radius (m)

hypot(wheelbase,R+track/2).

Inner-rear wheel-center path radius (m)

R−track/2, requiring a nonnegative inner radius in the supported model.

Outer-front wheel-center path diameter (m)

Twice outer-front wheel-center radius, excluding body overhang and tire width.

Symbols and units
a
Fixed horizontal wheelbase (m)
b
Virtual bicycle-model steering angle (degrees)
c
Rear/front track used in this ideal model (m)

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

  • An ideal low-speed virtual-bicycle/track wheel-center geometry, not an actual measured turning circle, Ackermann linkage specification, swept-body envelope or road-clearance assurance.
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: ratios, unit rates and supplied measurement arithmetic ↗

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

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