Examples
Examples
Try the starting example
- Circular curve radius (m)
- 200
- Deflection/intersection angle (degrees)
- 30
- Arc station spacing (m)
- 20
- Tangent length (m)
- 53.589838
- Arc length (m)
- 104.719755
- Arc distance, chord from start, deflection angle table
- [[0,0,0],[20,19.9916677083,2.86478897565],[40,39.9333666587,5.72957795131],[60,59.7752529894,8.59436692696],[80,79.467732318,11.4591559026],[100,98.9615837018,14.3239448783],[104.71975512,103.527618041,15]]
Try another scenario
- Circular curve radius (m)
- 220.00000000000003
- Deflection/intersection angle (degrees)
- 30
- Arc station spacing (m)
- 20
- Tangent length (m)
- 58.948822
- Arc length (m)
- 115.191731
- Arc distance, chord from start, deflection angle table
- [[0,0,0],[20,19.9931136591,2.60435361423],[40,39.9449263439,5.20870722846],[60,59.814222398,7.81306084269],[80,79.5599566247,10.4174144569],[100,99.141339076,13.0217680712],[115.191730632,113.880379845,15]]
Calculation method
Calculation method
Tangent length (m)
T=R tan(delta/2), L=R delta radians; deflection=s/(2R), chord=2R sin(s/(2R)).
Arc length (m)
T=R tan(delta/2), L=R delta radians; deflection=s/(2R), chord=2R sin(s/(2R)).
Arc distance, chord from start, deflection angle table
T=R tan(delta/2), L=R delta radians; deflection=s/(2R), chord=2R sin(s/(2R)).
Symbols and units
- a
- Circular curve radius (m)
- b
- Deflection/intersection angle (degrees)
- c
- Arc station spacing (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
- Simple circular planar curve, no transition or station equations. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Simple circular planar curve, no transition or station equations.
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.