Q$-4(30$ points$)$

Analyze the overturning stability $($i$.$e$.,$ force ratio $>2\mathrm{.}0)$ of the gravity dam depicted in Figure $2$ below for

the following conditions: Friction factor between concrete$-$foundation is $0\mathrm{.}7.$ The specific gravity of

concrete is $2\mathrm{.}5$ and the specific gravity of the silty sand is $1\mathrm{.}8.$ Assumes the uplifting pressure varies linearly

from a maximum of $80\%$ of the full hydrostatic pressure at the heel to the full hydrostatic pressure at the

toe. Neglect earthquake forces. Table $2\mathrm{.}1$ is attached.

$(g=9\mathrm{.}81\frac{m}{s^2}),({}_w=10\frac{kN}{m^3})$

Figure $2$