Question III An odometer test on a

saturated clay soil gave the following

results: $Co=0\mathrm{.}2.C_1=0\mathrm{.}04,$OCR$=$

$4\mathrm{.}5$ The existing vertical effective

stress in the field

is $130$ kPa $.$ A building foundation will

increase the vertical stress at the

center of the clay by $150$ kPa $.$ The

thickness of the clay layer is $2$ m and

its water content is $28\%.$

$($a$)$ Calculate the primary

consolidation settlement.

$($b$)$ What would be the difference in

settlement if OCR were $1\mathrm{.}5$ instead

of $4\mathrm{.}5?$

$($c$)$ What would be the difference in

settlement if the vertical stress

increase at the center of the clay

were $50$ kPa instead of $150$ kPa for

an OCR of $4\mathrm{.}5?$