Road horizontal sightline offset calculator

Calculate middle-ordinate sightline offset with your own figures.

Your numbers

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

Use middle-ordinate sightline offset to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Horizontal curve radius to sightline path (m)
300
Sight distance along circular path (m)
120
Middle-ordinate sightline offset (m)
5.980027

Try another scenario

Horizontal curve radius to sightline path (m)
301
Sight distance along circular path (m)
120
Middle-ordinate sightline offset (m)
5.960291
Calculation method

Calculation method

Middle-ordinate sightline offset (m)

For both endpoints on one circular curve, middle ordinate M=R[1−cos(S/(2R))]; reject arc exceeding semicircle.

Symbols and units
a
Horizontal curve radius to sightline path (m)
b
Sight distance along circular path (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; For both endpoints on one circular curve, middle ordinate M=R[1−cos(S/(2R))]; reject arc exceeding semicircle. 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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