Problem $2(25$ points$)$: Cone Penetration Test

A part of the CPT data is shown in the following. The penetration test is performed using an electric cone. The unit weight of the soil is assumed to be $\backslash (18\backslash$mathrm$\{$kN$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$ Assume that an electric cone is used for the CPT test. For the soils at the depth of $1\mathrm{.}35$ m $,$

$(1)$ Classify the soil type using the chart attached.

$(2)$ Find the undrained shear strength based on the tip resistance or the drained friction angle $($Kulhawy and Mayne, $1990),$ whichever is applicable.

$(3)$ If the soil is sand, find the relative density according to formulae Eq$.3\mathrm{.}50$ proposed by Kulhawy and Mayne $(1990).$ If the soil is clay, estimate the overconsolidation ratio $($OCR$)$ and the pre$-$consolidation pressure.

$($Note: pay attention to the unit conversion.$)$