Note: Solution to A$,$ B$,$ and C in computerized format. Please solve the whole question with all the subparts.

QUESTION:

Undisturbed samples of a silty$-$clay have been collected from a site. The tabulated results in Fig. $1\mathrm{.}1$ were obtained at failure in a series of consolidated$-$undrained $($CU$)$ tests $($with pore water pres$-$

sure measurement$)$ on the samples. The cross$-$sectional area of the sample is $1210m{m}^2$ You are required to determine the values of the drained shear strength parameters of the soil $c^{\text{'}}$ and ${}^{\text{'}}.$

Figure $1\mathrm{.}1$: Results of a series of CU tests on silty$-$clay.

In summary of results, provide the following:

A$.$ A table containing values calculated from the results of the three tests, including a column for the additional axial load that must have been applied at failure for each test, and the principal stresses ${}_3,{}_1,{}_3^{\text{'}},$ and ${}_1^{\text{'}}.$

B$.$ A plot showing the Mohr's circles and strength envelope used to determine $c^{\text{'}}$ and ${}^{\text{'}}.$ On your plot clearly mark the principal stresses, $c^{\text{'}}$ and ${}^{\text{'}}.$ Ensure your plot is to scale, and labels specify what the $x$ and $y$ axes are.

C$.$ Your reported $c^{\text{'}}$ and ${}^{\text{'}}$ for the silty$-$clay.