Q$4$: It is required to construct a pile foundation comprised of $30$ piles arranged in $5$ columns at distances $100$ cm center to center. The diameter and lengths of the piles are $50$ cm and $12$ m respectively. The bottom the pile cap is located at a the ground surface. The details of the soil properties etc. are as given below w reference to ground level as the datum. The water table was found at a depth of $2$ m from ground level. Comp the consolidation settlement of the pile foundation if the total load imposed on the foundation is $2000$ kN $.$

$S=\frac{C_c}{1+c_o^{\text{'}}}{H}_{o}lo{g}_{10}(\frac{{}_o^{\text{'}}+{}^{\text{'}}}{{}_o^{\text{'}}})$

$\backslash$table$[[$Depth$,$Soil properties$],[$From$,$To$,],[0,2,$Silt, saturated, $=17k\frac{N}{m^3}$