Is Gateway Arch a Parabola_ | Page 5

Catenary When you suspend a chain from two hooks and let it hang naturally under its own weight, the curve it describes is called a catenary. Any hanging chain will naturally find this equilibrium shape, in which the forces of tension (coming from the hooks holding the chain up) and the force of gravity pulling downwards exactly balance. Something beautiful happens when you turn a catenary curve upside down. The inverted catenary will now describe an arch — and it turns out that it's the most stable shape an arch can have. Gateway Arch is a catenary.