Examples
Examples
Try the starting example
- Full spiral length (m)
- 80
- Final circular radius (m)
- 300
- Stations from spiral start (m)
- 0,20,40,60,80
- Station, clothoid x/y, tangent angle table
- [[0,0,0,0],[20,19.9998611116,0.055555279983,0.477464829276],[40,39.9955557842,0.444409172323,1.9098593171],[60,59.9662587879,1.49939742928,4.29718346348],[80,79.8578947851,3.55104311752,7.63943726841]]
Try another scenario
- Full spiral length (m)
- 88
- Final circular radius (m)
- 300
- Stations from spiral start (m)
- 0,20,40,60,80
- Station, clothoid x/y, tangent angle table
- [[0,0,0,0],[20,19.9998852161,0.0505048434632,0.434058935705],[40,39.9963270616,0.404013903411,1.73623574282],[60,59.9721134404,1.36318362928,3.90653042135],[80,79.8825408966,3.22893263801,6.94494297128]]
Calculation method
Calculation method
Station, clothoid x/y, tangent angle table
Clothoid curvature=s/(LR), tangent=s²/(2LR); integrate cos/sin tangent by composite Simpson.
Symbols and units
- a
- Full spiral length (m)
- b
- Final circular radius (m)
- c
- Stations from spiral start (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
- True clothoid integrated numerically, local axes at spiral tangent start; L/R≤2. 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. True clothoid integrated numerically, local axes at spiral tangent start; L/R≤2.
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