Solve it step by step..Prohlem $3$: The surcharge fill is placed on the ground surface as shown in the figure.

$2$ of $3$

$250$ days after the fill was placed, the piezometer reads a pore pressure of $70$kPa. Field monitoring indicating that the foundation settlement was $0\mathrm{.}3m.$ calculate:

a$)$ Effective stresses at the middle of clay layer after the fill was placed $(t=0$ days$),$ and at $t=250$ days.

b$)$ what is the coefficient of consolidation, $C_v,$ for the clay?

c$)$ Based on these reading at $250$ days, what is the total settlement can be expected at the end of primary consolidation?

Problem $4.$ A footing is to be located $2m$ below ground level, as shown below. The dimension of the footing is $1\mathrm{.}5m2m$ and carrying a load of $2000kN.$ The results of the consolidation test is shown in the figure

$0\mathrm{.}65.$

b$)$ A laboratory consolidation test on a specimen taken from the clay layer shown was tested. The specimen was $25\mathrm{.}4mm$ in thickness and drained on one side. The time required for the specimen to reach $35\%$ consolidation was $12$min. Compute the required time $($ in months$)$ for the clay layer to settle $0\mathrm{.}10$ meter.

c$)$ Estimate the expected consolidation settlement if the preconsolidation pressure is $,=130k\frac{N}{m^2}.$

d$)$ estimate the excess pore water pressure remaining in the clay and the corresponding vertical effective stress after $10$ months at the middle of the clay layer

e$)$ if the settlement analysis for a proposed structure indicates $10cm.$ of settlement in $1$ year and an ultimate settlement of $30cm.$ this analysis is based on the assumption that the underlying clay layer is drained at both its top and bottom surfaces. However, there are some indications that there may be no bottom drainage. For this case, determine the ultimate settlement and time required for $10cm$ of settlement.