1. What is the Deflection Angle of First Chord?

The Deflection Angle of First Chord (δ₁) is the angle between the first sub chord of a curve and the deflected line with equal measurement of first sub chord from the tangent point. It is a fundamental parameter in curve setting and surveying.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C_1 \) — First Sub Chord (m)
• \( R_{Mid\ Ordinate} \) — Radius of Curve for Mid Ordinate (m)

Explanation: This formula calculates the deflection angle based on the relationship between the first sub chord length and the radius of the curve.

3. Importance of Deflection Angle Calculation

Details: Accurate calculation of deflection angles is crucial for precise curve setting in road construction, railway engineering, and other surveying applications. It ensures proper alignment and smooth transitions between straight and curved sections.

4. Using the Calculator

Tips: Enter the First Sub Chord and Radius of Curve for Mid Ordinate in meters. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units should be used for input values?
A: Both First Sub Chord and Radius of Curve should be entered in meters (m) for consistent results.

Q2: What is the typical range for deflection angles?
A: Deflection angles typically range from very small values (fractions of a degree) to larger angles depending on the curve radius and chord length.

Q3: How is this angle used in practical applications?
A: This angle is used to set out curves accurately from tangent points, ensuring proper alignment in construction projects.

Q4: Are there any limitations to this formula?
A: This formula provides accurate results for circular curves. For spiral or compound curves, additional calculations may be required.

Q5: Can this calculator be used for both horizontal and vertical curves?
A: This specific formula is primarily used for horizontal curves in surveying applications.