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Curve Lead (C.L) Calculator

Curve Lead Formula:

\[ CL = \sqrt{2 \times R_0 \times G} \]

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1. What is Curve Lead (C.L)?

Definition: Curve Lead is the distance between the theoretical nose of crossing and the tangent point measured along the length of main track.

Purpose: It's a critical measurement in railway track design, especially for turnouts and crossings.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ CL = \sqrt{2 \times R_0 \times G} \]

Where:

  • \( CL \) — Curve Lead (meters)
  • \( R_0 \) — Radius of Outer Curve of Turnout (meters)
  • \( G \) — Gauge Length (distance between rails, meters)

Explanation: The formula calculates the lead distance based on the geometry of the turnout curve and track gauge.

3. Importance of Curve Lead Calculation

Details: Accurate curve lead calculation ensures proper alignment of turnouts, smooth train movement, and reduced wear on tracks and wheels.

4. Using the Calculator

Tips: Enter the radius of outer curve (typically 200-300m for mainlines), gauge length (standard is 1.8m), and tolerance percentage (default ±5%).

5. Frequently Asked Questions (FAQ)

Q1: What is a typical radius for railway turnouts?
A: Mainline turnouts typically use radii between 200-300m, while yard turnouts may use smaller radii (100-150m).

Q2: Why include a tolerance percentage?
A: Tolerance accounts for construction variations and maintenance needs (±5% is common).

Q3: How does gauge length affect curve lead?
A: Wider gauges result in longer curve leads for the same radius, following the square root relationship.

Q4: What's the practical significance of curve lead?
A: It determines the length needed for the turnout to properly connect with the main track.

Q5: Can this be used for different track standards?
A: Yes, just adjust the gauge length parameter for different track gauges (e.g., 1.435m for standard gauge).

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