Road superelevation balance worksheet calculator

Calculate equilibrium superelevation fraction and equilibrium superelevation with your own figures.

Your numbers

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

Use equilibrium superelevation fraction and equilibrium superelevation to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Vehicle speed (km/hour)
80
Curve radius (m)
300
User-supplied lateral friction coefficient
0.12
Equilibrium superelevation fraction
0.047855
Equilibrium superelevation (%)
4.785452

Try another scenario

Vehicle speed (km/hour)
81
Curve radius (m)
300
User-supplied lateral friction coefficient
0.12
Equilibrium superelevation fraction
0.052077
Equilibrium superelevation (%)
5.207711
Calculation method

Calculation method

Equilibrium superelevation fraction

Small-angle equilibrium e+f=v²/(gR); negative output indicates friction alone exceeds modeled requirement.

Equilibrium superelevation (%)

Small-angle equilibrium e+f=v²/(gR); negative output indicates friction alone exceeds modeled requirement.

Symbols and units
a
Vehicle speed (km/hour)
b
Curve radius (m)
c
User-supplied lateral friction coefficient

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

  • User-supplied measurements and assumptions; Small-angle equilibrium e+f=v²/(gR); negative output indicates friction alone exceeds modeled requirement. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
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

Method reference ↗

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

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.