Length of Curve given Radius of Curve and Deviation Angle Calculator

Length of Curve Formula:

\[ L_s = R \times N \]

Length of Curve (m):

1. What is Length of Curve Calculator?

Definition: This calculator determines the length of a curve based on the radius and deviation angle, with optional tolerance adjustment.

Purpose: It helps civil engineers and surveyors calculate curve lengths for road design, railway tracks, and other infrastructure projects.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ L_s = R \times N \]

Where:

\( L_s \) — Length of Curve (meters)
\( R \) — Radius of Curve (meters)
\( N \) — Deviation Angle (radians)

Explanation: The length of the curve is simply the product of the curve's radius and the angle through which it turns.

3. Importance of Curve Length Calculation

Details: Accurate curve length calculation ensures proper road alignment, smooth transitions, and safe vehicle operation.

4. Using the Calculator

Tips: Enter the radius in meters, deviation angle in radians, and optional tolerance percentage (-5% to +5%). All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for inputs?
A: Radius should be in meters, angle in radians. Convert degrees to radians by multiplying by π/180.

Q2: What is the tolerance field for?
A: It allows you to adjust the calculated length by ±5% to account for design contingencies or safety factors.

Q3: How do I measure the deviation angle?
A: The deviation angle is the angle between the initial and final tangents of the curve.

Q4: What's a typical radius for highway curves?
A: This varies by design speed, but often ranges from 200m to 1000m for major highways.

Q5: Can I use this for vertical curves?
A: This formula works for simple circular curves. Vertical curves may require additional considerations.