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Pile Design and Construction Practice, Fifth edition

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<strong>Pile</strong> groups under compressive loading 267<br />

In the case of pile groups the width B is the width at the base of the equivalent raft as<br />

shown in Figure 5.3. The Burl<strong>and</strong> <strong>and</strong> Burbidge method was developed essentially for<br />

shallow foundations <strong>and</strong> correlations with published settlement records given in their paper<br />

were mainly confined to foundations where their depth was not greater than their width.<br />

They state that the depth to width ratio did not influence the settlements to any significant<br />

degree <strong>and</strong> hence a depth factor of the type shown in Figure 5.20 should not be applied.<br />

However, a correction should be applied to allow for the foundation shape <strong>and</strong> for the thickness<br />

of the compressible layer beneath the foundation where this is less than the depth of<br />

influence, z I.<br />

The correction factors are<br />

1.25 L�B<br />

Shape factor � fs � � (5.32a)<br />

L�B � 0.25� 2<br />

Thickness factor � fl � (5.32b)<br />

Hs zI � 2 � Hs z I �<br />

where L is the length of the loaded area (L�B)<br />

B is the width of the loaded area<br />

H s is the thickness of the compressible layer (H s�z I)<br />

Burl<strong>and</strong> <strong>and</strong> Burbidge state that most settlements on granular soils are time-dependent,<br />

i.e. they show a long-term creep settlement <strong>and</strong> a further time correction factor is applied<br />

using the equation:<br />

ft � (5.33)<br />

where t is equal to or greater than 3 years<br />

R3 is the proportion of the immediate settlement which takes place in the loaded<br />

area<br />

R is the creep ratio expressed as the proportion of the immediate settlement that<br />

takes place per log cycle of time<br />

�t �i � � 1 � R3 � Rlog t<br />

3�<br />

Burl<strong>and</strong> <strong>and</strong> Burbidge give conservative values of R <strong>and</strong> R 3 as 0.2 <strong>and</strong> 0.3 respectively for<br />

static loading <strong>and</strong> 0.8 <strong>and</strong> 0.7 respectively for fluctuating loads.<br />

Summarizing all the above corrections, the average consolidation settlement is given by<br />

� c � f s f l f t [(q�� 2<br />

3 �� vo) � B 0.7 � I c] (in mm)<br />

(5.34)<br />

The wide range of I c values between the upper <strong>and</strong> lower limit shown in Figure 5.26 can<br />

cause difficulty in obtaining a reasonably close estimate of pile group settlements, particularly<br />

where the group is underlain by medium-dense s<strong>and</strong>s. For example, the average I c value for<br />

a s<strong>and</strong> with an N-value of 10 is 6 compared with upper <strong>and</strong> lower limit values of 20 <strong>and</strong> 3<br />

respectively, giving an upper limit of settlement of three times that calculated from the<br />

average curve. However, in most cases piles are taken down to dense s<strong>and</strong>s to obtain

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