Road crest-curve sight geometry calculator

Calculate geometric crest sight distance and supported geometric branch with your own figures.

Your numbers

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

Use geometric crest sight distance and supported geometric branch to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Parabolic crest vertical curve length (m)
200
Absolute algebraic grade difference (fraction)
0.06
Eye height above road (m)
1.08
Object height above road (m)
0.6
Geometric crest sight distance (m)
148.098367
Supported geometric branch
sight distance within curve

Try another scenario

Parabolic crest vertical curve length (m)
201
Absolute algebraic grade difference (fraction)
0.06
Eye height above road (m)
1.08
Object height above road (m)
0.6
Geometric crest sight distance (m)
148.468151
Supported geometric branch
sight distance within curve
Calculation method

Calculation method

Geometric crest sight distance (m)

Crest curve geometry: S=√(2L(√h1+√h2)²/A) for S≤L; otherwise S=L/2+(√h1+√h2)²/A.

Supported geometric branch

Crest curve geometry: S=√(2L(√h1+√h2)²/A) for S≤L; otherwise S=L/2+(√h1+√h2)²/A.

Symbols and units
a
Parabolic crest vertical curve length (m)
b
Absolute algebraic grade difference (fraction)
c
Eye height above road (m)
d
Object height above road (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

  • User-supplied measurements and assumptions; Crest curve geometry: S=√(2L(√h1+√h2)²/A) for S≤L; otherwise S=L/2+(√h1+√h2)²/A. 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.
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Further reading

Method reference ↗

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

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