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Ground Stability, Foundations and Substructures 79<br />

take up the settlement. Designing a foundation is a combined function of both the site<br />

conditions and the characteristics of the particular structure.<br />

Bearing pressures<br />

The intensity of pressure on subsoil is not uniform across the width or length of a foundation<br />

and decreases with depth below the foundation. In order to determine the probable<br />

behaviour of a soil under foundations, the engineer needs to know the intensity of pressure<br />

on the subsoil at various depths. This is determined by Boussinesq’s equation for the stress<br />

at any point below the surface of an elastic body, and in practice is a reasonable approximation<br />

to the actual stress in soil.<br />

By applying the equation, the vertical stress on planes at various depths below a point<br />

can be calculated and plotted as shown in Figure 3.5. The vertical ordinates at each level<br />

d1, d2, etc. represent graphically unit stress at points at that level. If points of equal stress<br />

A, B and C are joined, the result is a bulb of unit pressure extending down from L. If this<br />

operation is repeated for unit area under a foundation, the result is a series of bulbs of equal<br />

unit pressure, as illustrated in Figure 3.6. Thus the bulb of pressure gives an indication of<br />

Point load L<br />

d 1<br />

C<br />

d 2<br />

B<br />

d 3<br />

A<br />

Pressure<br />

bulb<br />

Figure 3.5 Vertical stress distribution.<br />

Pressure p<br />

per unit area<br />

B<br />

B<br />

0.95p<br />

0.9p<br />

0.8p<br />

0.7p<br />

0.6p<br />

0.5p<br />

B<br />

0.1p<br />

0.2p<br />

B<br />

0.3p<br />

0.4p<br />

Figure 3.6 Bulbs of pressure under a strip foundation.

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