# STRESS ON SOILS

### Vertical Stress Caused by Vertical Line Load of Infinite Length

The vertical stress increase, inside the soil mass as a result of the introduction of a vertical flexible line load of infinite length that has an intensity q/unit length on the surface of a semi-infinite soil mass is given by the following equation;

$△ σ = 2 q z 3 π ( x 2 + z 2 ) 2$ where;
Δσ=vertical stress increase, kN/m2,
x,z=distances along x and z axis respectively, m.
FIGURE
Fig: Stresses in elastic medium caused by line load

Vertical stress Caused by Vertical Line Load

Vertical Stress by Vertical Line Load

x, m:

z, m:

Vertical Normal Stress, Δσz: