A $6$ft gravity retaining wall is being built with a rectangular cross section. The backfill soil properties are:

Total Unit Weight$=115$pcf$,$ theta$=33$ degrees, c$=0$psf

The backfill extends horizontally from the top of the retaining wall and directly behind the wall has a $200$ psf uniformly distributed load which needs to be calculated.

$1.$ Draw the design of the wall and the distribution of the LEP $($Lateral Earth Pressures$)$ acting the retaining wall using Rankine's active theory. Also label the earth pressure distribution diagram at the locations of the resultant forces.

$2.$ Find the location and magnitude of the active resultant forces on the wall.

$3.3$ feet below the top of the wall is a water table and proper drainage is not provided, what is the location and magintude of the active Rankine forces?

The Saturated Unit Weight$=$ the Total Unit Weight for part $3$ only.