A field where there is a proposal to construct a hotel, consists of a fine sand layer of thickness about $3$ m followed by a soft clay layer of thickness $4$ m $.$ soft clay is underlain by a dense sand layer of considerable thickness. The following results are obtained from the tests conducted on sample retrieved at the mid depth of soft clay layer.

$C_c=1\mathrm{.}270$

$C_r=0\mathrm{.}058$

$e_0=2\mathrm{.}64$

${}_c^{\text{'}}=43k\frac{N}{m^2}$

Individual pad footings are proposed to support the super structure. A typical $1m2m$ rectangular footing at a depth $1\mathrm{.}0$ m will carry a net load of $250$ kN $.$ Water table is presented at $1\mathrm{.}5$ m below the ground surface.

Dense sand

i$.$ Estimate the expected immediate settlement of the footing using the method proposed by Parry.

ii$.$ Estimate the expected primary consolidation settlement of the footing assuming $2$:$1$ stress distribution through the soil $($do the calculation $s$ for the mid depth of the clay layer$).$