Problem $1$: Given the following beam under loading:

Assume the reactions for point $A$ is $114\mathrm{.}29lb.($upward$)$

and for point $B$ is $885\mathrm{.}71lb.($upward$).$

Cut the beam at cut $1($between $0$ and $6\text{'}),$ cut $2($between $6\text{'}$ and $14\text{'})$ and cut $3($between $14\text{'}$ and

$22\text{'}).$ Use this information to write the equilibrium equations for shear and bending moment at each

cut, then neatly draw the shear and moment diagram. Clearly identify the min and max values.