Angle of Banking Calculator

Your details

Choose which variable to solve for. Fill in the other two.
The design speed for which the banking angle is optimised.
km/h
Radius of the circular arc measured to the centre lane.
m
Selects the static friction coefficient for the safe speed range.
Banking angleHigh banking
8.06deg

Ideal tilt angle for the given speed and radius (no friction needed)

Frictionless design speed60
Curve radius200
Minimum safe speed0
Maximum safe speed154.1
Superelevation rate14.16%
Centripetal acceleration0.142g
8.06 deg
Minimal<3Moderate3-8High8-15Extreme15+

Ideal banking angle: 8.06 deg (high banking).

  • A banking angle of 8.06 degrees corresponds to a superelevation of 14.16%, meaning the road rises 14.16 m for every 100 m of horizontal width.
  • At the design speed the vehicle experiences 0.142 g of lateral (centripetal) acceleration, directed toward the centre of the curve.
  • With the selected road surface, the safe speed window is roughly 0.0 to 154.1 km/h. Below the minimum the car may slide down the bank; above the maximum it can skid up and off.

Next stepUse this banking angle in your road or track design specifications. Cross-check the safe speed range for the expected road surface to set appropriate speed limits.

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