PROBLEM A

Given the beam below, take P$1=25$kip, P$2=10$kip, P$3=20$kip, a $=5$ft$,$ E $=29000$ ksi, I $=4399\mathrm{.}4$ in$^4.$ Using the moment$-$area theorems for all PARTS:

PART $1$

The change in slope q E$/$B in radians is mostly near$\_\_\_\_\_\_\_$x $10^-3.$

CW$=$Clockwise, CCW$=$ Counterclockwise

$($Select from one the following$)$

Option A: $6\mathrm{.}56$ CCW

Option B: $3\mathrm{.}88$ CW

Option C: $9\mathrm{.}38$ CCW

Option D: $3\mathrm{.}88$ CCW

Option E: $2\mathrm{.}68$ CCW

Option F: $6\mathrm{.}56$ CW

Option G: $2\mathrm{.}68$ CW

Option H: $9\mathrm{.}38$ CW

PART $2$

The change in slope q E$/$A in radians is mostly near$\_\_\_\_\_\_\_$x $10^-3.$

CW$=$Clockwise, CCW$=$ Counterclockwise

$($Select from one the following$)$

Option A: $9\mathrm{.}38$ CCW

Option B: $2\mathrm{.}68$ CW

Option C: $9\mathrm{.}38$ CW

Option D: $3\mathrm{.}88$ CW

Option E: $6\mathrm{.}56$ CCW

Option F: $3\mathrm{.}88$ CCW

Option G: $2\mathrm{.}68$ CCW

Option H: $6\mathrm{.}56$ CW

PART $3$

The deflection at B in inches is mostly near$\_\_\_\_\_\_\_.$

$($Select from one the following$)$

Option A: $1\mathrm{.}43$ upward

Option B: $1\mathrm{.}43$ downward

Option C: $0\mathrm{.}12$ upward

Option D: $0\mathrm{.}12$ downward

Option E: $0\mathrm{.}44$ upward

Option F: $0\mathrm{.}44$ downward

PART $4$

The rotation at B in radians is mostly near$\_\_\_\_\_\_\_.$

CW$=$Clockwise, CCW$=$ Counterclockwise

$($Select from one the following$)$

Option A: $6\mathrm{.}56$ x $10^-3$ CW

Option B: $5\mathrm{.}81$ x $10^3$ CCW

Option C: $5\mathrm{.}81$ x $10^3$ CW

Option D: $3\mathrm{.}88$ x $10^-3$ CW

Option E: $6\mathrm{.}56$ x $10^-3$ CCW

Option F: $3\mathrm{.}88$ x $10^-3$ CCW