Question #$3$: A new development project involves raising the grade an average of $2m$ in height across a

large area with an engineered fill material that has a total unit weight of $19\mathrm{.}5k\frac{N}{m^3}.$ Foundations for

the development include a large footing that is $2\mathrm{.}55m$ and carries a load of $18,000kN.$ The layer of

saturated clay, $6$ meters thick, directly below the new fill is expected to undergo consolidation because

of the newly applied load. Samples taken from the center of the clay were tested in a $1-$D consolidation

test.

a$)$ Determine the increase in vertical stress beneath the center of the foundation at the center of

the clay layer because of the development. $(3)$

b$)$ Using the attached consolidation test e$-$log P data, identify $P{o}^{\text{'}},P{c}^{\text{'}},$OCR,$Cr,$&$Cc.(3)$

c$)$ Determine the total amount of consolidation settlement. $(3)$

d$)$ Determine how long it will take in days to achieve $50\%$ of the consolidation settlement assuming

the clay layer can drain from the top and bottom and a cv $=$