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

Assume the reactions for point $B$ is $25k($upward$)$ and for point $D$ is $5k($upward$).$

Cut the beam and the three places shown $($cut $1-1$: between $0$ and $5^{\text{'}},$ cut $2-2$: between $5^{\text{'}}$ and $10\text{'},$ cut $33$: between ${10}^{\text{'}}$ and ${15}^{\text{'}}).$ Use this information with equilibrium equations to neatly draw the shear and moment diagram. Clearly identify the min and max values.