A parabolic arch shape is an arch that follows the curve of a parabola.
Understanding the Parabolic Arch
A parabolic arch is a structural element that derives its form from a parabola, a U-shaped curve defined mathematically. This shape is highly efficient at distributing weight and compressive forces.
Key Characteristics
- Parabola-Based: The arch's curve precisely follows the path of a parabola.
- Efficient Load Distribution: Distributes weight evenly, minimizing stress.
- Common Dimensions: Spans typically range from 4 to 12 feet (1.22 to 3.66 meters), with arch rises of 72 to 216 inches (183 to 549 cm). Wall depths are often between 8 and 16 inches (20.3 and 40.6 cm), and course depths range from 4 to 16 inches (10.2 to 40.6 cm).
Structural Advantages
The parabolic shape is advantageous for arches because it ensures that when the arch supports a uniform load, the internal compressive stresses are directed along the curve towards the supports. This minimizes bending moments and makes the structure very strong and stable.
Applications
Parabolic arches are used in:
- Bridges: Offering efficient support for long spans.
- Architecture: Providing both structural support and aesthetic appeal.
- Other Structures: Where strength and efficient load distribution are required.
In summary, a parabolic arch shape is an arch constructed in the form of a parabola, known for its efficient distribution of weight and compressive forces.
