Answer:
10 m
Explanation:
The Soil Cohesion is the force that holds together molecules or like particles within a soil.
The unit weight of a soil mass is the ratio of the total weight of soil to the total volume of soil.
The stability number (Sn) is given by the formula:
[tex]S_n=\frac{C_m}{\gamma *H}[/tex]
Given that:
Cohesion = C = 15 kN/m², Factor of safety = FOS = 1.5, unit weight = γ = 20 kN/m³, H = maximum height, Sn = 0.05. Hence:
[tex]C_m=\frac{C}{FOS}\\\\S_n=\frac{C}{\gamma *FOS *H}\\\\H= \frac{C}{\gamma *FOS *S_n}\\\\Substituting:\\\\H=\frac{15}{20*1.5*0.05} \\\\H=10\ m[/tex]
