Draft:Bpow63

A straight bar of metal, initially 800 feet long, expands 8 inches in length. The ends are fixed so that the bar becomes distorted into the shape of an arc of a circle, for which the original bar would now be a chord. What is the approximate height above the center of the original bar of this new distorted bar?

Note: An accurate numerical solution to this problem is acceptable.

Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.