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Length of Single Rail at given Weight of Rails per km Calculator

Rail Length Formula:

\[ L = \frac{1000 \times W}{N \times w} \]

tonnes
kg/m

1. What is Length of Single Rail Calculator?

Definition: This calculator determines the length of a single rail based on the total weight of rails per kilometer, number of rails, and weight per meter.

Purpose: It helps railway engineers and construction professionals determine standard rail lengths for track planning and maintenance.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L = \frac{1000 \times W}{N \times w} \]

Where:

  • \( L \) — Length of single rail (meters)
  • \( W \) — Weight of rails per km (tonnes)
  • \( N \) — Number of rails per km
  • \( w \) — Weight of rail per meter (kg/m)

Explanation: The total weight is converted to kg (×1000) and divided by the product of rail count and weight per meter to determine individual rail length.

3. Importance of Rail Length Calculation

Details: Standard rail lengths are crucial for track stability, maintenance planning, and material procurement in railway projects.

4. Using the Calculator

Tips: Enter the total weight per km, number of rails, and weight per meter. All values must be > 0. Default values represent standard Indian Railways specifications.

5. Frequently Asked Questions (FAQ)

Q1: What are standard rail lengths in India?
A: Indian Railways uses 13 m for broad gauge and 12 m for MG/NG tracks, with ±5% tolerance.

Q2: Why is weight per meter important?
A: Rail weight (e.g., 52kg/m) determines strength and load capacity, directly affecting length calculations.

Q3: How accurate are these calculations?
A: Results are theoretical; actual lengths may vary ±5% due to manufacturing tolerances.

Q4: What affects the number of rails per km?
A: Track design, joint type (welded or mechanical), and maintenance requirements determine rail count.

Q5: How do I account for rail joints?
A: This calculation assumes continuous welded rail. For jointed tracks, add joint allowance to total length.

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