Day 358 · Dec 23

The Birthday of John A. Roebling (1806) – Mathematics of Suspension Bridges

Roebling designed the Brooklyn Bridge. Suspension bridges use catenary curves (y = a cosh(x/a)). The main cable supports the deck via vertical suspenders. The mathematics of static equilibrium gives the parabolic shape for a uniformly loaded cable. Roebling also used wire rope (helix geometry). The Brooklyn Bridge took 14 years to build; Roebling died from tetanus during construction. His son Washington completed it. Suspension bridge mathematics is now used for long‑span bridges (Golden Gate, Akashi Kaikyo).

What is a ‘catenary’? The shape of a free‑hanging flexible cable under its own weight. For a uniform load (like a bridge deck), the shape is a parabola.

Practice related topics on DuelMath

Challenge someone →