PROBLEM B

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 moment diagram between A and C is a $\_\_\_\_\_\_\_\_\_\_\_.$

$($Select from one the following$)$

Option A: straight line with a positive slope

Option B: concave curve of $2$nd degree

Option C: horizontal line below the x axis

Option D: concave curve of $3$rd degree

Option E: convex curve of $3$rd degree

Option F: horizontal line that coincides with the x$-$axis

Option G: convex curve of $2$nd degree

Option H: straight line with a negative slope

Option I: horizontal line above the x axis

PART $2$

The slope of the moment diagram just to the left of the concentrated force at C is$\_\_\_\_\_\_$k$.$

$($Select from one the following$)$

Option A: $0$

Option B: $2\mathrm{.}5$

Option C: $7\mathrm{.}5$

Option D: $-2\mathrm{.}5$

Option E: $-7\mathrm{.}5$

PART $3$

The maximum moment is mostly near$\_\_\_\_\_$k$-$ft

$($Select from one the following$)$

Option A: $+8$

Option B: $+7$

Option C: $-8$

Option D: $-15$

Option E: $-7$

Option F: $+15$

PART $4$

The shear diagram between C and B is a $\_\_\_\_\_\_\_\_\_\_\_.$

$($Select from one the following$)$

Option A: straight line with a positive slope

Option B: horizontal line below the x$-$axis

Option C: convex curve of $2$nd degree

Option D: horizontal line that coincides with the x$-$axis

Option E: straight line with a negative slope

Option F: concave curve of $2$nd degree

Option G: horizontal line above the x axis