Equilibrium Cant Formula for Narrow Gauge:
Definition: Equilibrium cant for narrow gauge is the difference between the height of the outer rail and the inner rail on a curve in case of narrow gauge track.
Purpose: It helps ensure safe and comfortable train operation on curved tracks by counteracting the centrifugal force.
The calculator uses the formula:
Where:
Explanation: The formula calculates the ideal cant needed to balance the centrifugal force with the gravitational force on a curved track.
Details: Proper cant calculation ensures passenger comfort, reduces wear on tracks and wheels, and maintains safety at designed speeds.
Tips: Enter the vehicle speed in km/h, curve radius in meters, and tolerance percentage (default ±5%). All values must be > 0.
Q1: Why is the formula different for narrow gauge?
A: The 0.762 factor accounts for the specific characteristics and standards of narrow gauge railways.
Q2: What's a typical tolerance percentage?
A: ±5% is common, but this may vary based on specific railway standards and safety requirements.
Q3: How does speed affect the equilibrium cant?
A: Cant increases with the square of the speed - doubling speed requires four times the cant.
Q4: What happens if the actual cant differs from equilibrium?
A: Too little cant causes discomfort, while too much cant can lead to derailment risks for slow trains.
Q5: How is this different from broad gauge calculations?
A: Broad gauge uses different constants in the formula to account for different track characteristics.