Length Of Curve If 20m Chord Definition Calculator

Formula Used:

\[ \text{Length of Curve} = 20 \times \frac{\text{Deflection Angle}}{\text{Angle for Arc}} \times \frac{180}{\pi} \]

Length of Curve:

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1. What is the Length of Curve Calculation?

The Length of Curve calculation using the 20m chord definition method determines the arc length in parabolic curves based on deflection angle and arc angle. This is particularly useful in civil engineering and surveying for designing curved paths and roads.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Length of Curve} = 20 \times \frac{\text{Deflection Angle}}{\text{Angle for Arc}} \times \frac{180}{\pi} \]

Where:

Deflection Angle (Δ) — Angle between the first sub chord of curve and the deflected line (in radians)
Angle for Arc (D) — Angle made by the arc, typically based on 20m chain length (in degrees)
π — Archimedes' constant (approximately 3.14159)

Explanation: This formula calculates the total length of a curve by relating the deflection angle to the standard arc angle, scaled by the chord length and converted from radians to degrees.

3. Importance of Length of Curve Calculation

Details: Accurate curve length calculation is essential for proper road design, railway alignment, and construction projects where curved sections need precise measurements for material estimation and implementation.

4. Using the Calculator

Tips: Enter deflection angle in radians and angle for arc in degrees. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is deflection angle in curve design?
A: Deflection angle is the angle between the initial tangent and the line connecting the point of curvature to the point of tangency.

Q2: Why is 20m used as the standard chord length?
A: 20m is a common standard in surveying and engineering for chain measurements, providing a practical balance between accuracy and ease of measurement.

Q3: Can this formula be used for any type of curve?
A: This formula is specifically designed for parabolic curves using the chord definition method. Different curve types may require alternative formulas.

Q4: How accurate is this calculation method?
A: The method provides good accuracy for most engineering applications, though extremely precise measurements might require more sophisticated techniques.

Q5: What units should be used for input values?
A: Deflection angle must be in radians, and angle for arc must be in degrees. Ensure proper unit conversion if your measurements are in different units.