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Radius of Transition Curve for NG Calculator

Radius of Transition Curve Formula:

\[ R_t = \left(\frac{V_{ng}}{3.65}\right)^2 + 6 \]

km/h

1. What is Radius of Transition Curve for NG?

Definition: The radius of transition curve which provides a transition between two tangent strips of roads for Narrow Gauge (NG) railways.

Purpose: Transition curves help make the transition smoother and safer for trains moving between straight and curved tracks.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ R_t = \left(\frac{V_{ng}}{3.65}\right)^2 + 6 \]

Where:

  • \( R_t \) — Radius of Transition Curve (meters)
  • \( V_{ng} \) — Safe Speed on Transitioned Curves for Narrow Gauge (km/h)

Explanation: The safe speed is divided by 3.65, squared, and then 6 meters is added to calculate the required transition curve radius.

3. Importance of Transition Curve Calculation

Details: Proper transition curves ensure smooth entry and exit from curves, reducing wear on tracks and improving passenger comfort.

4. Using the Calculator

Tips: Enter the safe speed for Narrow Gauge transitioned curves in km/h (±5%). The value must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Narrow Gauge (NG) in railways?
A: Narrow Gauge refers to railway tracks with a smaller distance between the rails than standard gauge, typically less than 1,435 mm.

Q2: Why is 3.65 used in the formula?
A: The 3.65 factor is an empirical constant derived from railway engineering practice for Narrow Gauge transition curves.

Q3: What's the purpose of adding 6 meters?
A: The 6 meters addition ensures a minimum radius is maintained even at very low speeds for safety and practical construction reasons.

Q4: How is safe speed determined?
A: Safe speed is calculated based on track geometry, superelevation, and other factors to prevent overturning and derailment.

Q5: Does this calculator work for Standard Gauge?
A: No, this formula is specifically for Narrow Gauge. Standard Gauge transition curves use different parameters.

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