Problem $1$:

Determine the capacity $($rate of flow$)$ of a circular culvert under a roadway $(n=0\mathrm{.}024)$ as shown below for the following conditions:

$H=3\mathrm{.}0m,D=1\mathrm{.}52m,L=30\mathrm{.}5m,y_t=1\mathrm{.}22m,$ and $S=0\mathrm{.}005($base slope$).$ Entrance and exit losses coefficients are $0\mathrm{.}5$ and $1\mathrm{.}0,$ respectively as shown. Consider the entrance to be sharpedged $($orifice coefficient $C_0=0\mathrm{.}62).$

Consider the upstream water elevation to be $+100$ m and calculate other elevation based on this value.