Examples
Examples
Try the starting example
- Centerline radius (millimetres)
- 500
- Rise per complete turn (millimetres)
- 80
- Target rise (millimetres)
- 200
- Required vertical clearance including deck (millimetres)
- 70
- Required turns
- 2.5
- Helical track length (millimetres)
- 7,856.5277
- Grade (percent)
- 2.546479
- Vertical clearance margin (millimetres)
- 10
Try another scenario
- Centerline radius (millimetres)
- 600
- Rise per complete turn (millimetres)
- 90
- Target rise (millimetres)
- 270
- Required vertical clearance including deck (millimetres)
- 95
- Required turns
- 3
- Helical track length (millimetres)
- 11,312.955981
- Grade (percent)
- 2.387324
- Vertical clearance margin (millimetres)
- -5
Calculation method
Calculation method
Required turns
Target rise/rise per turn; fractional final turn allowed.
Helical track length (millimetres)
Turns×sqrt((2πradius)^2+rise per turn²).
Grade (percent)
100×rise per turn/(2πradius).
Vertical clearance margin (millimetres)
Rise per turn−required clearance.
Symbols and units
- a
- Centerline radius (millimetres)
- b
- Rise per complete turn (millimetres)
- c
- Target rise (millimetres)
- d
- Required vertical clearance including deck (millimetres)
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
- Circular helix with uniform rise; clearance is supplied usable vertical requirement, not a rolling-stock recommendation. Supported limits: All numeric inputs and computed intermediates must remain finite. Supported numeric input magnitude is zero or 1e-12 through 1e12 in absolute value; reject values outside this bounded range. All lists/JSON record tables are limited to 100 records unless a stricter bound is stated; reject malformed record arity and wrong member types. All numeric values must be finite. Lists contain at most 100 records; required lists must be nonempty. Rates, probabilities and fractions are entered as fractions, not percentages; fractions must be between 0 and 1. Use a single consistent user-selected currency for all amounts; no exchange-rate conversion.
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