The data recorded during a shear box test on a sand sample, $10$ cm X $10$ cm X $3$ cm$,$ at a constant vertical force of $1200$ N$.$

$($a$)$ Would you characterize the behavior of this sand as that of a dense or a loose sand? Explain your answer.

Determine

$($b$)$ the maximum or peak shear stress,

$($c$)$ the critical state shear stress,

$($d$)$ the peak dilation angle,

$($e$)$ critical friction angle