Degree of Curve in Railways Calculator

Degree of Curve Formula:

\[ D_c = \frac{1720}{R} \times \frac{\pi}{180} \]

Degree of Curve (radians):

1. What is Degree of Curve in Railways?

Definition: The degree of curve is the central angle subtended by a 100-foot arc along the railway curve.

Purpose: It helps railway engineers design and maintain proper track curvature for safe and efficient train operation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ D_c = \frac{1720}{R} \times \frac{\pi}{180} \]

Where:

\( D_c \) — Degree of curve (radians)
\( R \) — Radius of the curve (meters)
\( \pi \) — Mathematical constant (approx. 3.14159)

Explanation: The formula converts the traditional degree of curve measurement (based on a 100-foot chord) to radians for modern railway design.

3. Importance of Degree of Curve Calculation

Details: Proper curve calculation ensures safe train speeds, reduces wear on tracks and wheels, and maintains passenger comfort.

4. Using the Calculator

Tips: Enter the radius of the curve in meters and the desired tolerance percentage (default ±5%). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 1720 used in the formula?
A: 1720 is a conversion factor based on the 100-foot chord definition used in traditional railway engineering.

Q2: What's a typical radius for railway curves?
A: Mainline railways typically use radii from 400m to 3000m, while urban transit systems may use tighter curves (200m-400m).

Q3: What does the tolerance percentage mean?
A: The tolerance (±5% by default) shows the acceptable range of variation in the degree of curve for maintenance purposes.

Q4: How does degree of curve affect train speed?
A: Tighter curves (higher degrees) require lower speeds to maintain safety and comfort.

Q5: Can I use this for other types of curves?
A: This formula is specific to railway engineering. Road curves use different calculation methods.