Construction / CALCULATOR

Parabolic Vertical Profile

Parabolic Vertical Profile with explicit measurements, assumptions and a worked example.

Runs on your deviceUpdates as you typeFormula & example ↓
01

Your inputs

Adjust the values to explore a different result.

m
Enter curve length in m.
m
Enter start elevation in m.
%
Enter initial grade in %.
%
Enter final grade in %.
m
Enter distance from start in m.

Formula

elevation=E0+g1 x+(g2−g1)x²/(2L).
  • Use the units shown beside each field.
  • Results update automatically whenever you change an input.
  • Displayed values use up to four decimal places, or scientific notation for very small or large numbers. Calculations use standard floating-point arithmetic; exact integer and fraction tools identify their own precision rules.
  • Simple parabolic vertical alignment. Sight distance, road design criteria and stationing conventions are not checked.

Example Calculation

Example inputs
  • Curve length: 100 m
  • Start elevation: 100 m
  • Initial grade: 2 %
  • Final grade: -2 %
  • Distance from start: 50 m

Curve length = 100 m; Start elevation = 100 m; Initial grade = 2 %; Final grade = -2 %; Distance from start = 50 m. Primary result: 100.5.

Frequently asked questions

How do I use this calculator?

Enter curve length, start elevation, initial grade, final grade, distance from start. The result updates automatically. Use Reset to restore the example values.

What method does it use?

elevation=E0+g1 x+(g2−g1)x²/(2L).. Simple parabolic vertical alignment. Sight distance, road design criteria and stationing conventions are not checked.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.