Suspension Bridges: What is the Shape Called?

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ehrenfest
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What is the name for the shape that the suspensions on a suspension bridge make? I think it is something like canary?
 
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Not a trivial geometry to derive. I believe Newton was unable to solve this catenary problem, that it required near-18th century mathematics to undertake.
 
A suspension bridge cable actually makes a parabola, a hanging cable by itself makes a catenary.