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Pile Design and Construction Practice, Fifth edition

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(a)<br />

determining the compressive <strong>and</strong> tensile forces in the piles by a triangle of forces assumes<br />

that the piles are hinged at their point of intersection <strong>and</strong> that the lateral loads are carried<br />

only in an axial direction by the piles. The tension pile will develop its maximum pull-out<br />

resistance with negligible movement, <strong>and</strong> the yielding of a properly designed compression<br />

pile of small to medium diameter is unlikely to exceed 10 mm at the working load. Thus the<br />

horizontal deflections of the pile cap will be quite small.<br />

For economy, the raking piles should be installed at the largest possible angle from<br />

the vertical. This depends on the type of pile used (see Section 3.4.11). Where raking piles<br />

are embedded in fill which is settling under its own weight (Figure 6.38a) or in a<br />

compressible clay subjected to a surcharge load or to superimposed fill (Figure 6.38b) the<br />

vertical loading on the upper surface of the rakers may induce high bending moments in the<br />

pile shaft. Because of this, raking piles may not be an appropriate form of construction in<br />

deep fill or compressible layers.<br />

6.5 Lateral loads on groups of piles<br />

(b)<br />

Filling setting under its<br />

own weight<br />

Vertical pressure<br />

on piles<br />

<strong>Pile</strong>s to resist uplift <strong>and</strong> lateral loading 353<br />

Compressible<br />

soil<br />

Figure 6.38 Bending of slender raking piles due to loading from soil subsidence (a) Fill settling<br />

under own weight (b) Fill overlying compressible soil.<br />

Loads on individual piles forming a group of vertical piles that is subject to horizontal<br />

loading or to combined vertical <strong>and</strong> horizontal loading can be determined quite simply (for<br />

cases where the resultant cuts the underside of the pile cap) by taking moments about the<br />

neutral axis of the pile group. Thus in Figure 6.39 the vertical component V of the load on<br />

any pile produced by an inclined thrust R, where R is the resultant of a horizontal load H <strong>and</strong><br />

a vertical load W is given by<br />

V � (6.54)<br />

where W is the total vertical load on the pile group, n is the number of piles in the group, e<br />

is the distance between the point of intersection of R with the underside of the pile cap <strong>and</strong><br />

the neutral axis of the pile group, <strong>and</strong> x¯ is the distance between the pile <strong>and</strong> the neutral axis<br />

of the pile group (x¯ is positive when measured in same direction as e <strong>and</strong> negative when in<br />

the opposite direction).<br />

W Wex<br />

n �<br />

2<br />

�x

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