$($Q$.$No$\mathrm{.}6)$ It is required to construct a pile foundation comprised of $20$ piles arranged in $5$ columns at distances of $90$ cm center to center. The diameter and lengths of the piles are $30$ cm and $9$ m respectively. The bottom of the pile cap is located at a depth of $2\mathrm{.}0$ m from the ground surface. The details of the soil properties etc. are as given below with reference to ground level as the datum. The water table was found at a depth of $4$ m from ground level.

$2$

Compute the consolidation settlement of the pile foundation if the total load imposed on the foundation is $2500$ kN $.$