Equilibrium Cant for MG Calculator by Tons of Concrete

Equilibrium Cant for MG Calculator

Equilibrium Cant Formula:

\[ emg = \frac{1.000 \times V^2}{127 \times R} \]

Equilibrium Cant (emg):

Acceptable Range (±5%):

1. What is Equilibrium Cant for Meter Gauge?

Definition: Equilibrium cant for meter gauge is the difference between the height of the outer rail and the inner rail on a curve in case of meter gauge track.

Purpose: It helps ensure safe and comfortable train operation on curved tracks by counteracting centrifugal force.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ emg = \frac{1.000 \times V^2}{127 \times R} \]

Where:

\( emg \) — Equilibrium cant for meter gauge (meters)
\( V \) — Speed of vehicle on track (km/h)
\( R \) — Radius of curve (meters)

Explanation: The formula calculates the ideal cant needed to balance centrifugal force with gravitational force for a given speed and curve radius.

3. Importance of Equilibrium Cant Calculation

Details: Proper cant calculation ensures passenger comfort, reduces wear on tracks and wheels, and maintains safety at high speeds.

4. Using the Calculator

Tips: Enter the vehicle speed in km/h, curve radius in meters, and tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical tolerance for equilibrium cant?
A: Standard tolerance is ±5% of the calculated equilibrium cant value.

Q2: How does speed affect equilibrium cant?
A: Cant increases with the square of speed - doubling speed requires 4 times the cant.

Q3: What happens if the cant is too high or too low?
A: Too little cant causes discomfort and wheel flange wear; too much cant can derail slow-moving trains.

Q4: Why is the constant 127 used in the formula?
A: It combines unit conversions and gravitational acceleration (9.81 m/s²) into a single constant.

Q5: Does this calculator work for broad gauge tracks?
A: No, this is specifically for meter gauge (1m track width). Broad gauge uses different constants.