Problem $2-$ Gravity Wall Design

"Design" $($i$.$e$.,$ check against sliding, overturning and location of the resultant force for$)$ a $15-$ft$-$high concrete gravity wall to retain a horizontal backfill with $=105pcf$ and $=40,$ carrying a uniform $400psf$ surcharge. $\frac{}{}=0\mathrm{.}75$ on the back face of the wall and $tan=0\mathrm{.}5$ below the base.

Hints

a$.$ Neglect passive resistance.

b$.$ You should get $P_a+P_q=3\mathrm{.}58$kip$\frac{s}{f}t,(P_a+P_q)cos=3\mathrm{.}1$kip$\frac{s}{f}t$ and $($:$P_q$