Problem $1.$ For the constant head setup shown in the figure below, calculate the pore water pressure, total stress, and effective stress at the entering end $($B$),$ exit end $($C$),$ and point A of the soil sample. $(10$ points$).$ The saturated unit weight of the sand is $20k\frac{N}{m^3}.$

Plot the pore water pressure, total stress, and effective stress along the sample height. $(10$ points$).$