For the beam below, take $P=5k,w=0klf,a=3ft.$ The beam is made of steel with $E=29000-$ksi and the moment of inertia $I=76\mathrm{.}8-$in ${?}^4.$ Use the Moment$-$Area Method to solve this problem.

The deflection at the $1$ st quarter point near $A$ is mostly near $\_\_.{10}^{-3}$ in$.$

$($Tip determine the deflection at a point located $2\frac{a}{4}=\frac{a}{2}$ from support A$)$

$5$ upward

$0$

$5$ downward

$7$ downward.

$12$ upward

$16$ upward

$16$ downward

$12$ downward

$23$ downward

$23$ upward

$18$ upward

$18$ downward

$7$ upward