PROBLEM A

For the beam below, take P$=5$k$,$ w$=1\mathrm{.}5$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 deflection at midspan is mostly near$\_\_\_\_\_$x $10^-3$in$.$

$($Select from one the following$)$

Option A: $48$ downward

Option B: $38$ upward

Option C: $0$

Option D: $48$ upward

Option E: $25$ downward

Option F: $25$ downward

Option G:

$23$ downward

Option H: $25$ upward

Option I: $38$ downward

PART $2$

The rotation at C is mostly near$\_\_\_\_\_\_\_$kip$-$ft$^2/$EI

$($Select from one the following$)$

Option A: $0$

Option B: $12$ CW

Option C: $14$ CCW

Option D: $12$ CCW

Option E: $14$ CW

PART $3$

The rotation at A is $\_\_\_\_\_\_\_\_\_$ the rotation at B$.$

$($Select from one the following$)$

Option A: different in magnitude than

Option B: smaller in magnitude than

Option C: larger in magnitude than

Option D: equal in magnitude as

PART $4$

The maximum rotation in radians is mostly near$\_\_\_\_\_$x $10^-3$

$($Select from one the following$)$

Option A: $25$ CCW

Option B: $14$ CW

Option C: $0\mathrm{.}7$ CW

Option D: $0$

Option E: $1\mathrm{.}6$ CW

Option F: $1\mathrm{.}6$ CCW

Option G: $25$CW

Option H: $0\mathrm{.}7$ CCW

Option I: $12$ CCW

Option J: $0\mathrm{.}9$ CW

Option K: $14$ CCW

Option L: $12$ CW

Option M: $0\mathrm{.}9$ CCW