There are three problems in the next slide. Please use the necessary nomogram either from this slide or from your textbook.

Please use both submerged and unsubmerged. Also, check whether

$[\frac{Q}{A{D}^{0\mathrm{.}5}}]4\mathrm{.}0,[\frac{Q}{A{D}^{0\mathrm{.}5}}]3\mathrm{.}5$

Depending upon the equation chosen, if it is not true, just write not applicable. For the number $3,$ problem, you do not need to solve it numerically. Just do graphically When you select the coefficient from Table $16\mathrm{.}2\mathrm{.}1,$ your parameter will be different based on which equation you are using $($short form: equation $2a).$

Lab Problems

Compute the headwater depth $($HW$)$ of a concrete pipe $($diameter is $42$ inches$)$ which is operating under inlet control with streamflow of $80cfs.$ Consider the culvert with headwall and grooved edge. Select the appropriate chart. Select $0\mathrm{.}25$ percent slope.

$Z=-{0\mathrm{.}5}^{**}{S}_0$

Compute the headwater depth for a $3ft.($height$)$ by $6ft.($width$)$ concrete box culvert operating under inlet control with $102cfs.$ Consider the culvert with wing walls at $30$ to $75-$degree wing wall flare.

Compute the headwater depth for a $4ft.($height$)$ by $6ft.($width$)$ concrete box culvert which is operating under outlet control with streamflow of $100cfs.$ The culvert is $100ft.$ long and has wing walls at a $45-$degree flare and a square edge at the crown. Consider the slope of the stream and the culvert as $0\mathrm{.}250$ percent, and the elevation of the upstream invert as $450.$ Tailwater depth is $4\mathrm{.}5ft.$

Hint: for problem $3,$ first connect the line of area and length in B$2($chart $8).$ Note down the point in the turning line. Next, locate the discharge in a discharge line. Draw a line from discharge to the turning line $($the point that you earlier determined$)$ and finally extend to the head scale to obtain the head.