Question: A small tailing dam having a width of $25m$ and a wall thickness of $80cm$ is constructed near a mineral processing plant. Each slice height of the wall is $20cm.$ The dam is full with discharged tailing pulp. Due to gravity sedimentation by the time, layered zones form as shown in the figure given below. The density of each zone is measured as $1\mathrm{.}02\frac{g}{c}{m}^3,1\mathrm{.}17\frac{g}{c}{m}^3,1\mathrm{.}29\frac{g}{c}{m}^3$ and $1\mathrm{.}43\frac{g}{c}{m}^3$ for clarified water, tailing pulp fed to the dam, transition zone and compaction zone, respectively. Calculate the resultant force acting on the wall in contact with transition zone using the pressure prism method.