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Railroad Curve Degree Calculator

This calculator helps determine the degree of curvature for railroads based on the curve radius. It’s a key parameter in railway design and alignment, ensuring safe and smooth train movement through curves.

Railway Curve Degree Estimator

Input Fields
R
ft
Radius of the railroad curve in feet
If enabled, the result will update automatically when you change any value.

Railroad Curve Degree Formula

Formula
$$D = 2 \cdot \arcsin\left(\frac{50}{R}\right)$$

Where:

  • $$D$$ = degree of curvature (degrees)
  • $$R$$ = radius of curve (feet)

The formula assumes a standard chord length of 100 feet and calculates the central angle subtended by a 100 ft chord over a circle of radius $$R$$.


In railway engineering, the degree of curve is the angle subtended by a 100-foot chord. This calculator is commonly used in track geometry to define curvature based on radius. Accurate calculation ensures proper rail alignment, safety, and passenger comfort on curves. Especially useful for civil and railway engineers working on new track layouts or maintenance.

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