Question

For a soil, cohesion is 15 kN/sq.M, unit weight is 20 kN/cu.M and the factor of safety is 1.5 along with stability number of 0.05. The safe maximum height of slope is *

Answer 1

10 m

Step-by-step 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:

`S_n=(C_m)/(\gamma *H)`

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:

`C_m=(C)/(FOS)\\\\S_n=(C)/(\gamma *FOS *H)\\\\H= (C)/(\gamma *FOS *S_n)\\\\Substituting:\\\\H=(15)/(20*1.5*0.05) \\\\H=10\ m`