Question $1(5$ points$)$

Assuming the conduit in the figure is a $30"$ rough riveted steel pipe flowing full, if we move the outlet to point $A$ :

a$)$ calculate the head loss in the flow by the time it reaches point $A.$

b$)$ calculate the velocity and flow in the pipe at point $A,$ considering friction.

Question $2(7$ points$)$

Assuming the conduit in the figure is a trapezoidal designed rock excavated open channel with bottom width of $5\text{'}$ and side slopes of $4\mathrm{.}5\text{'}$ horizontal to $2\mathrm{.}5\text{'}$ vertical, and that the flow carried must be the same as in Question $1$:

a$)$ Determine the critical depth of the flow.

b$)$ Determine the normal depth of flow based on Manning's equation.

c$)$ If we place a $65V-$notch weir at the left side of the reservoir, with the bottom of the notch $71\text{'}$ above the invert, what will be the discharge over the weir?

d$)$ Determine the size and character of the hydraulic jump occurring at the gate. $($Assume the initial depth is the depth emerging from the gate.$)$

Question $3(8$ points$)$

For the reservoir at the top of the figure $($assuming it is $140$ feet long by $30$ feet wide$)$: Determine, via NRCS TR$-55,$ approximately how long the reservoir, if empty, will take at peak runoff to reach the elevation shown during a $50-$year design storm in the Indianapolis, IN$,$ area based on the following characteristics of a drainage area flowing into it:

a$.$ Cover based on Snelling soil of which:

i$.85$ acres are good brush

ii$.45$ acres are fair woods

iii. $3$ acres consist of dirt road

b$.$ Time of concentration based on:

i$.$ Overland flow for $80$ feet from Elev. $1108\text{'}$ to Elev. $1106\text{'},$ on wood cover with light underbrush

ii$.$ Shallow concentrated flow for $2800$ feet $($unpaved$)$ to the top of the reservoir

Question $4(4$ points$)$

Determine whether a wall on the chamfer $($diagonal face$)$ at the left end can safely support the water in the reservoir $($using the dimensions from Question #$3)$ at the elevation shown if the wall can support $3800$ pounds per square foot.