Q$4.$ A $10$ m high and very long and wide embankment is to be built as shown in Fig$\mathrm{.}2.$ Groundwater level is at original ground level.

Normally consolidated Clay $(8$ m thick$)$; $=17\mathrm{.}9k\frac{N}{m^3}$;$c_v=50c\frac{m^2}{d}ay$;$c_c=0\mathrm{.}3$;$c_r=0\mathrm{.}04$;OCR$=1,G_s=2\mathrm{.}65$;$c^{\text{'}}=0,{}^{\text{'}}=17$deg;

At $5$ m depth $-C_u=14$kPa $($specimen was taken from $5$ m below the original ground level and was consolidated to the effective overburden stress at that depth before shear test$).$

Dense Sand $=20k\frac{N}{m^3},c^{\text{'}}=0,{}^{\text{'}}=42$deg

Fig. $2$

You are preparing to do stability analyses of this embankment. $($you are Not asked to do such analysis in this HW$)$

Determine:

$($a$)$ the relevant shear strength parameters, that you would use for a short term stability analysis immediately after construction of the embankment, for each of the soils involved. If you decide the material would undergo drained shear provide $c^{\text{'}}$ and ${}^{\text{'}}.$ If undrained shear is expected, provide $c_u$ and ${}_u.$

$($b$)$ What would be your answers if you were to do a long term stability analysis $($for failure long time after construction$).$