1. What is the Central Angle of Curve?

The Central Angle of Curve can be described as the deflection angle between tangents at point of intersection of tangents in road geometry and surveying applications.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( I \) — Central Angle of Curve (radians)
• \( L_c \) — Length of Curve (meters)
• \( D \) — Degree of Curve (radians)

Explanation: This formula calculates the central angle based on the length of the curve and its degree, which is essential in road design and surveying.

3. Importance of Central Angle Calculation

Details: Accurate calculation of the central angle is crucial for proper road alignment design, curve establishment, and ensuring safe vehicle navigation through curved sections.

4. Using the Calculator

Tips: Enter the length of curve in meters and degree of curve in radians. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Length of curve should be in meters and degree of curve should be in radians.

Q2: Can this formula be used for both circular and parabolic curves?
A: This formula is primarily used for circular curves in road design and surveying applications.

Q3: What is the typical range for degree of curve values?
A: Degree of curve values typically range from 0.5° to 10° (0.0087 to 0.1745 radians) for most road designs.

Q4: How does central angle affect road design?
A: The central angle determines the sharpness of the curve and affects superelevation requirements, sight distance, and overall road safety.

Q5: Are there limitations to this calculation method?
A: This formula assumes a circular curve and may need adjustments for spiral transition curves or complex road geometries.