1. What is the Length of Curve or Chord Determined by Central Angle Given Chord Offset for Chord of Length?

The Length of Curve or Chord determined by Central Angle given Chord Offset for Chord of Length is a geometric calculation used to determine the arc length in parabolic curves based on chord offset and the radius of the circular curve.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( L_c \) — Length of curve (m)
• \( b \) — Chord offset (m)
• \( R_c \) — Radius of circular curve (m)

Explanation: This formula calculates the length of curve using the square root of the product of chord offset and radius of the circular curve.

3. Importance of Length of Curve Calculation

Details: Accurate length of curve calculation is crucial for civil engineering projects, road design, railway construction, and various geometric applications where precise curve measurements are required.

4. Using the Calculator

Tips: Enter chord offset in meters, radius of circular curve in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is chord offset in curve geometry?
A: Chord offset refers to the perpendicular distance from the midpoint of a chord to the arc of the curve.

Q2: How accurate is this formula for different types of curves?
A: This formula is specifically designed for parabolic curves and provides accurate results for such geometric configurations.

Q3: Can this calculator be used for both small and large radius curves?
A: Yes, the formula works for curves of various sizes as long as the input values are positive and valid.

Q4: What units should be used for input values?
A: The calculator uses meters for both chord offset and radius inputs, and returns length of curve in meters.

Q5: Are there any limitations to this calculation method?
A: This method assumes ideal geometric conditions and may need adjustments for complex curve configurations or specific engineering requirements.