A large concrete gravity dam has five $(5)$ radial gates installed on its central spillway section to control releases from the dam. Figure $1$ provides a simplified side view of the dam wall and radial gates.

Eigurey Side view of the concrete dam wall and radial gates. $($Not to scale$)$

The central section of the dam wall has the following dimensions and properties:

$\backslash$table$[[\backslash$table$[[$Maximum water depth above dam spillway$],[$crest$,z$ at Full Supply Level with gates closed$]],8$ metres$],[$Specific weight of concrete dam wall, $,23\mathrm{.}5k\frac{N}{m^3}$