Railway Cant Calculator
Ideal equilibrium railway cant gauge v²/(gR), SI, a geometric balance only, no permissible speed, cant deficiency, vehicle dynamics or track code. Actual independently established compatible SI units/model context; conditional arithmetic, not code compliance, engineering design or safe operation approval.
Description
Ideal equilibrium cant balances centripetal acceleration under a geometric track model.
Ideal equilibrium cant balances centripetal acceleration under a geometric track model.1
This tool evaluates supplied gauge, speed, gravity and radius without selecting permissible speed or assessing vehicle dynamics.
When to use Railway Cant Calculator
Use this tool to evaluate supplied gauge, speed, gravity and radius without selecting permissible speed or assessing vehicle dynamics.
How to use Railway Cant Calculator and how it works
- Prepare actualTrackGaugeMeters, actualSpeedMetersPerSecond, callerGravityMetersPerSecondSquared, actualCurveRadiusMeters, with the units, conventions and assumptions below.
- Enter the required fields and run Railway Cant Calculator.
- Read result.value using the output definitions below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualTrackGaugeMeters | Actual Track Gauge Meters. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| actualSpeedMetersPerSecond | Actual Speed Meters Per Second. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| callerGravityMetersPerSecondSquared | Caller Gravity Meters Per Second Squared. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
| actualCurveRadiusMeters | Actual Curve Radius Meters. Use the units and matching context stated in the calculation below. | number | Required; strictly positive; finite; other constraints below |
Supply positive gauge in meters, nonnegative speed in meters per second, positive gravity in meters per second squared and positive curve radius in meters. Return gauge*speed^2/(gravity*radius) in meters as equilibrium cant. No operational allowance, cant deficiency or standards limit is selected.
cantMeters=gaugeMeters*speedMetersPerSecond^2/(gravity*radiusMeters) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Equilibrium cant in meters. | number |
{
"input": {
"actualTrackGaugeMeters": 2,
"actualSpeedMetersPerSecond": 2,
"callerGravityMetersPerSecondSquared": 2,
"actualCurveRadiusMeters": 2
},
"output": {
"result": {
"value": 2
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Transit Headway Calculator for a complementary operation: For equally spaced service, vehicles per hour define a nominal headway in minutes.
Use Railway Transition Curve Calculator for a complementary operation: Railway transitions depend on track-authority rules, speed and the selected cant-ramp convention.
References
-
Railway Cant Calculator — tool.io
Similar or alternative tools
- Transit Headway Calculator
For equally spaced service, vehicles per hour define a nominal headway in minutes.
- Railway Transition Curve Calculator
Railway transitions depend on track-authority rules, speed and the selected cant-ramp convention.