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Superelevation in railways Calculator

Superelevation Formula:

\[ S = \frac{G \times v^2}{g \times r} \]

meters
m/s
meters
% (±5%)
meters

1. What is Superelevation in Railways?

Definition: Superelevation is the banking of railway tracks on curves to counteract the centrifugal force experienced by moving trains.

Purpose: It improves safety and passenger comfort by reducing the sideways force on the train when navigating curves.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S = \frac{G \times v^2}{g \times r} \]

Where:

  • \( S \) — Superelevation (meters)
  • \( G \) — Gauge of track (meters)
  • \( v \) — Velocity of train (m/s)
  • \( g \) — Gravitational acceleration (9.80665 m/s²)
  • \( r \) — Radius of curve (meters)

Explanation: The formula calculates the optimal elevation needed to balance centrifugal force with gravitational force.

3. Importance of Superelevation Calculation

Details: Proper superelevation ensures safe train operation, reduces wear on tracks and wheels, and improves passenger comfort.

4. Using the Calculator

Tips: Enter the track gauge, train velocity, curve radius, and optional tolerance percentage (±5%). All values must be > 0 except tolerance.

5. Frequently Asked Questions (FAQ)

Q1: What is a typical railway track gauge?
A: Standard gauge is 1.435 meters, but narrow and broad gauges vary from 0.6m to 1.676m.

Q2: Why include a tolerance percentage?
A: Tolerance allows for practical adjustments due to varying train speeds or operational requirements.

Q3: What happens if superelevation is too high?
A: Excessive superelevation can cause slower trains to experience uncomfortable inward tilt and increased wheel flange wear.

Q4: How does velocity affect superelevation?
A: Higher speeds require greater superelevation to counteract increased centrifugal force.

Q5: What's the maximum superelevation allowed?
A: Typically 150-180mm for standard gauge, but varies by railway authority and operating conditions.

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