1. What is an Elliptical Arch?

An elliptical arch is a curved structure with an elliptical shape that spans an opening and supports weight. It's commonly used in architecture and engineering for bridges, doorways, and windows.

2. How Does the Calculator Work?

The calculator uses simple elliptical arch formulas:

Where:

• \( \text{semi\_major} \) — The longer radius of the ellipse (half of width)
• \( \text{semi\_minor} \) — The shorter radius of the ellipse (equal to height)
• \( \text{width} \) — Total width of the arch opening
• \( \text{height} \) — Height of the arch at its center

3. Importance of Arch Calculations

Details: Accurate arch calculations are essential for structural integrity, material estimation, and aesthetic proportions in architectural design.

4. Using the Calculator

Tips: Enter the total width and maximum height of the arch in feet. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between semi-major and semi-minor axes?
A: The semi-major axis is half the longest diameter, while the semi-minor is half the shortest diameter of the ellipse.

Q2: How does this differ from a circular arch?
A: An elliptical arch has two distinct radii (semi-major and semi-minor), while a circular arch has equal radii in all directions.

Q3: What are typical applications of elliptical arches?
A: They're used in bridges, architectural features, and structural designs where a more elongated curve is desired.

Q4: How precise do these measurements need to be?
A: For structural applications, measurements should be precise. For aesthetic purposes, approximations may suffice.

Q5: Can this calculator be used for other elliptical calculations?
A: This specifically calculates arch dimensions. Other ellipse properties would require different formulas.