A simply supported beam with length $30\mathrm{.}5$ feet with a concentrated load at it midspan will deflect approximately in the shape of a parabola. If the deflection at the midspan is $1\mathrm{.}75$ inches, write the equation of the parabola taking the left end of the beam as the origin. Find the deflection of the beam at a distance of $11\mathrm{.}4$ feet from the left end. Use the form $(x-h{)}^2=4p(y-k),$ where $x$ and $y$ are in feet.

Equatior

The deflection of the beam $11\mathrm{.}4$ feet from the left end is inches.