Problem $1$

Given Figure $1$ and that you calculated these stresses at points A$-$E $($Problem Set $8)$

$\backslash$table$[[$Point$,$TS $({}_0)$ psf$,hp,ft,$pwp $(u_s)$ psf$,$ES $({}^{\text{'}})$ psf$],[$A$,0,0,0,0],[$B$,312,5,312,0],[$C$,1002,12,748\mathrm{.}8,253\mathrm{.}2],[$D$,2102,22,1372\mathrm{.}8,729\mathrm{.}2],[$E$,2602,28,1747\mathrm{.}2,854\mathrm{.}8]]$

A $10ft$ high sand fill is to be placed on top of the upper clay layer $(5ft$ of sand to be submerged and $5ft$ above water$),$ unit weight of fill above water $=100pcf,$ unit weight of saturated fill $=102\mathrm{.}4pcf$

a$.$ What is the stress change caused by the sand fill after the primary consolidation $($placed through $5ft$ of water; half submerged, half above water$)?$

b$.$ Calculate the consolidation shortenings of clay layers $x$ and $Y$ and the full surface consolidation settlement. Treat each layer as a single unit $($i$.$e$.$ no sublayers$).$