Question $7$: Forces in Dams

Figure below shows a trapezoidal masonry dam with vertical upstream face $6$meters high, $0\mathrm{.}7$ meters wide at the top and $3\mathrm{.}6$ meters wide at the base. Hydrostatic uplift varies from full hydrostatic pressure at the heel and toe. Determine the magnitude of all forces acting in the Dam and their distances from the toe. Density of concrete $=2,500k\frac{g}{m^3}$ and density of water $=1,000k\frac{g}{m^3}.$