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Pile Design and Construction Practice, Fifth edition

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p m/c u<br />

10.5<br />

2p<br />

0<br />

<strong>and</strong> the mean horizontal pressure p m are shown in Figure 9.17. Methods of calculating p m<br />

<strong>and</strong> the height h u are described by Springman <strong>and</strong> Bolton.<br />

When calculating lateral forces on the piles for a range of values of c u the higher values<br />

should be used to obtain the bending moments <strong>and</strong> pile deflections, <strong>and</strong> the lower values for<br />

assessing the stability of the embankment. It is also important to ensure that the side slopes<br />

of the embankment have an adequate safety factor against rotational shear failure.<br />

De Beer <strong>and</strong> Wallays (9.29) have established an empirical method of calculating the lateral<br />

pressure on vertical piles due to unsymmetrical surcharge loading. The surcharge is represented<br />

by a fictitious fill of height H f with a sloping front face, as shown for three arrangements of<br />

piles <strong>and</strong> embankment loading in Figure 9.20a to c. The height H f is given by<br />

(9.2)<br />

where � is the density of the fill in tonne/m3 Hf � H<br />

.<br />

The fictitious fill is assumed to slope at an angle � which is drawn by one of the methods<br />

shown in Figure 9.20a to c, depending on the location of the surcharge loading in relation<br />

to the piles. The lateral pressure on the piles is then given by<br />

�<br />

1.8<br />

p z � fp (9.3)<br />

where f is a reduction factor given by<br />

� � 0.5��<br />

f �<br />

90� �0.5�� Serviceable<br />

bearing capacity<br />

Plastic flow around pile<br />

h/d = 10<br />

Pseudo-elastic<br />

zone<br />

(2+p)<br />

1.5<br />

h/d = 4<br />

(2+p)<br />

Elasto-plastic<br />

zone<br />

Local onset of yield on pile<br />

Miscellaneous piling problems 461<br />

Ultimate bearing<br />

capacity<br />

Elastic loading lines<br />

(2+p) (1+2d/s)<br />

Ultimate plastic failure<br />

of soil mass <strong>and</strong> soil<br />

around pile<br />

Figure 9.19 Interaction diagram for horizontal soil pressure on vertical pile driven through soft clay<br />

into an underlying stiff stratum (after Springman <strong>and</strong> Bolton (9.24) ). Crown copyright 1995.<br />

Reproduced by permission of HM Stationery Office.<br />

q/c u<br />

(9.4)

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