Question $1[30$ Points$]$

In the profile shown below, footing $A$ is part of the foundation system of a shopping $m_{\text{a}\text{l}\text{l}}$ in Washington DC$.$ The local design standard limits the surface settlement for large occupancy buildings to $50mm.$ As a geotechnical engineer, you were given a $20,000kN$ load on footing $A$ by the structural engineer, and you were asked to check if the serviceability requirement $($i$.$e$.,$ settlement $<mn>5</mn><mn>0</mn><mi>m</mi><mi>m</mi><mtext></mtext><mi>)</mi>$ is met or not. Ignore the settlement caused by the upper sand layer.

Elevation View

Normally consolidated clay

${}_{8al}=18k\frac{N}{m^3}$

$C_{c.\text{f}\text{i}\text{e}\text{l}\text{d}}=0\mathrm{.}25$

$e_0=1\mathrm{.}1$

$-26$

$z(m)$

Figure $1$: Problem $1.$