CE $4321$ HOMEWORK ASSIGNMENT NO$.2$

$($Due $9$ am$,$ Wednesday, September $18,2024-$ Total $30$ points$)$

Consider a construction site with the soil profile given below.

a$.$ Calculate total vertical stress $({}_z),$ pore water pressure $(u),$ and vertical effective stress $({}_z^{\text{'}})$

at layer interfaces. Groundwater table is $15$ ft below the ground surface. Show your

calculations and tabulate your final results $($Use the table format specified below$).[5$ points$]$

b$.$ Next, calculate induced stresses $({}_z)$ values within the soil profile due to construction of a

small building. Assume that the building rests on the ground surface. A plan dimension of

the building is $50ft50ft$ square. The contact pressure between building and soil at ground

level is $3600$ psf$.$ Use $2$:$1$ method. $[5$ points$]$

c$.$ Plot initial, induced, and final vertical effective stresses versus depth. Depth should be on

Y $-$axis on inverted scale $($i$.$e$.$ with depth increasing downward$).[5$ points$]$

d$.$ Compute the total $({}_x)$ and effective $({}_x^{\text{'}})$ horizontal stresses at a depth of $29$ ft before the

building construction. $[5$ points$]$

Fine to Medium Sand $($SW$)$: $D_r=40\%$;$=127pcf$

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