For Nos, $42$ to $45$; A square footing $3m3m$ in dimensions, supports a column load of $1800$ KN $.$ The water table is located $4.Em$ below the ground surface.

$42.$ Determine the average stress increase in the clay layer due to the appled foundation load using the weighted average method.

a$.)41\mathrm{.}53$ kPa

b$.)38\mathrm{.}67$ kPa

c$.)200$ kPa

d$.)101\mathrm{.}63$ kPa

$43.$ What is the preconsolidation pressure of the clay soil?

a$.)121\mathrm{.}96$ kPa

b$.)84\mathrm{.}69$ kPa

c$.)156\mathrm{.}10$ kPa

d$.)200$ kPa

$44.$ Determine the settiement due to primary consolidation of the clay layer if the overconsolidation ratio is $1\mathrm{.}2.$ The compression index is $0\mathrm{.}315.$ The recompression index is $\frac{1}{6}$ of the compression index.

a$.)$ nearest to $18$ mm

b$.)$ nearest to $113mm$

c$.)$ nearest to $75$ mm

d$.)$ nearest to $39$ mm

$45.$ Determine the secondary consolidation settiement expected over a $20-$year time span due to foundation load assuming full primary consolidation of the clay requires $5$ years. The secondary compression index is equal to $0\mathrm{.}0130.$

a$.)$ nearest to $14$ mm

b$.)$ nearest to $25$ mm

c$.)$ nearest to $8$ mm

d$.)$ nearest to $19$ mm