Catenary curve has a u-shaped curve and can be represented by a hanging chain or cable under its own weight and supported only at it's ends.
Catenary Curve formula |
||
| \( y \;=\; \dfrac{ a}{2 } \cdot \left( ^a\sqrt{e^x} + \dfrac{ 1}{^a\sqrt{e^x} } \right) \) | ||
| Symbol | English | Metric |
| \( y \) = y-coordinate | \( dimensionless \) | \( dimensionless \) |
| \( a \) = parameter | \( dimensionless \) | \( dimensionless \) |
| \( e \) = Euler number | \( 2.718 281 828 ... \) | \( 2.718 281 828 ... \) |
| \( x \) = x-coordinate | \( dimensionless \) | \( dimensionless \) |
