Curved Wall Radius Calculator

Curved Wall Radius Formula:

\[ r = \frac{c^2}{8h} + \frac{h}{2} \]

Radius (r):

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1. What is Curved Wall Radius?

The curved wall radius is the measurement from the center of a circle to its circumference, used to describe the curvature of arched walls in construction and architecture. It helps determine the proper dimensions and materials needed for curved structures.

2. How Does the Calculator Work?

The calculator uses the curved wall radius formula:

\[ r = \frac{c^2}{8h} + \frac{h}{2} \]

Where:

\( r \) — Radius of the curved wall (m)
\( c \) — Chord length (straight line distance between endpoints) (m)
\( h \) — Height (distance from chord to arc) (m)

Explanation: This formula calculates the radius of a circular arc given the chord length and the height of the arc.

3. Importance of Radius Calculation

Details: Accurate radius calculation is essential for proper construction of curved walls, arches, and other circular structures. It ensures structural integrity, proper material estimation, and aesthetic consistency in architectural designs.

4. Using the Calculator

Tips: Enter chord length and height in meters. Both values must be positive numbers. The calculator will compute the radius of the curved wall.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for measurements?
A: The calculator uses meters (m) for all measurements. Convert your measurements to meters before inputting them.

Q2: Can I use this calculator for partial circles?
A: Yes, this formula works for any circular arc segment, whether it's a semicircle or a smaller segment.

Q3: What if my height measurement is larger than the chord length?
A: For a circular arc, the height cannot exceed half the chord length. If your measurements don't follow this relationship, they may be incorrect.

Q4: How accurate is this calculation?
A: The calculation is mathematically precise for perfect circular arcs. Real-world variations in construction may require adjustments.

Q5: Can this be used for vertical curves in roads?
A: While the mathematical principle is similar, road vertical curves have different design considerations and this calculator is specifically for wall construction.