Problem$-4(10$ Points$)$

A $711$ foot$-$square sluice gate $AB$ and its guides holds the resultant of the pressure forces exerted by the water on the face of the gate. Assume that the water has a specific weight of ${}_1,$ of $62\mathrm{.}4l\frac{b}{f}{t}^3.$

For the given HydroStatic Loading Determine:

The Resultant force, $R,$ in terms of Magnitude, direction and Depth, On the Sluice Gate

$R=q,$