How to solve

Problem III: The hydraulic structure shown in Fig $3$ controls flow in a $50-$m$-$wide channel and

consists of three parts: the bottom part is a $2\mathrm{.}5-m-$long $1\mathrm{.}2-m-$high rectangular prism; the middle

part is an elliptical prism with a long axis of $5\mathrm{.}3$ m and a short axis of $2\mathrm{.}5$ m ; and the top part is a

rectangular sluice gate. For a water depth of $6\mathrm{.}5$ m :

$15$ pts

$(1)$ Depict the distribution of hydrostatic pressures on the upstream faces of all three structure

parts. Show your computations for the pressures at all control points.

$(2)$ Compute and depict the resultant hydrostatic force and its application point on the structure.

$($Follow the all the steps and be concise with work...which means show all work...even small details$)$