Problem $2)(2$ points$)$ A consolidated undrained triaxial test was performed on a sand sample. Assume no cohesion for the sand $($The cohesion for granular soils can be assumed as zero$).$ Isotropic consolidation pressure was $1000$ psf $.$ The deviatory stress which caused shear failure on the sample was $1250$ psf $.$ If the measured pore water pressure at failure was $625$ psf $,$ a$)$ Calculate the total $($undrained$)$ and effective $($drained$)$ shear strength parameters for this sand $(1$ point$),$ b$)$ Which shear strength parameters would you use to calculate the long term bearing capacity of this sand underneath a shallow foundation and why? $(1$ point$)$ Use the conceptual thinking with the help of a not$-$to$-$scale Mohr's circle drawing only $($like we did in the lecture $21).$ The use of any equation or scaling any value off the Mohr's circle will get no credit for this problem.