PROBLEM

For the beam below, take P$=5$k$,$ w$=0$klf$,$ a$=3$ft$.$ 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.

PART $1$

The parameter t A$/$C is mostly near$\_\_\_\_\_$k$-$ft$^3/$EI

$($Select from one the following$)$

Option A: $-48$

Option B: $26$

Option C: $-23$

Option D: $48$

Option E: $-26$

Option F: $23$

PART $2$

Let us designate as Point D$,$ the point located a distance a$/2$ from support at A$.$ The parameter t D$/$C is mostly near$\_\_\_\_\_$k$-$ft$^3/$EI

$($Select from one the following$)$

Option A: $0$

Option B: $12$

Option C: $7$

Option D: $-23$

Option E: $-7$

Option F: $-12$

Option G: $23$

PART $3$

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

$($Tip determine the deflection at a point located $2$a$/4=$ a$/2$ from support A$)$

$($Select from one the following$)$

Option A: $7$ upward

Option B: $16$ downward

Option C: $18$ upward

Option D: $12$ upward

Option E: $5$ upward

Option F: $0$

Option G: $16$ upward

Option H: $18$ downward

Option I: $23$ upward

Option J: $7$ downward

Option K: $23$ downward

Option L: $12$ downward

Option M: $5$ downward