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Pile Design and Construction Practice, Fifth edition

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

from which l � 10.4 m (say 10.5 m) <strong>and</strong> the trial depth is satisfactory.<br />

Checking the criterion of a safety factor of 3 in end bearing <strong>and</strong> unity in skin friction,<br />

allowable load � ( which roughly equals the building load<br />

plus the negative skin friction. Checking the overall safety factor on the combined loading,<br />

1<br />

3 � 1935) � 2465� 3110 kN,<br />

Safety factor � (1935�2465)/3156 � 1.4<br />

This is satisfactory since the negative skin friction on the piles will not contribute to the<br />

settlement of the pile group.<br />

The transfer of load from the pile group to the soil will be as shown in Figure 5.3b.<br />

Depth below ground level to base of equivalent raft<br />

� 4 � 5.5 � ( 2<br />

3 � 10.5) � 16.5 m<br />

The dimensions of the equivalent raft are:<br />

L � 48.75 � ( 2<br />

3 � 10.5 � 2 � 1<br />

4) � 52.25 m<br />

B � 18.75 � ( 2<br />

3 � 10.5 � 2 � 1<br />

4) � 22.25 m<br />

Pressure on base of equivalent raft due to building load �<br />

Calculating the immediate settlement<br />

At a level of equivalent raft, E u � E f � 65 MN/m 2<br />

At rockhead, E u � 120 MN/m 2<br />

From equation 5.21, 120 � 65(1�28 k/22.25)<br />

k � 0.7<br />

Divide equivalent raft into four rectangles, each 26.1�11.1 m<br />

From Figure 5.19 for L/B � 26.1/11.1 � 2.3, H/B � 28/11.1 � 2.5, <strong>and</strong> k � 0.7, I� p is 0.14.<br />

Settlement at corner of rectangle �<br />

139 � 11.1 � 0.14 � 1000<br />

65 � 1000<br />

Settlement at centre of equivalent raft � 4 � 3.3 � 13.2 mm<br />

Calculating the consolidation settlement<br />

To calculate the settlement of the pile group due to the building loads only, the 28 m layer<br />

of clay between the equivalent raft <strong>and</strong> rockhead is divided into four 7 m layers.<br />

Oedometer settlement in Layer 1.<br />

From Figure 5.13 with <strong>and</strong> z/B � 3.5/22.2 � 0.16 <strong>and</strong> L/B � 52.2/22.2 � 2.3, stress at centre<br />

of rectangle � 0.83 � 139 � 118 kN/m 2 . Modulus of volume compressibility � 0.07 m 2 /MN.<br />

Then from equation 5.23:<br />

oedometer settlement uncorrected by depth factor<br />

0.07 � 118 � 7 � 1000<br />

� � 57.8 mm<br />

1000<br />

48 � 21 � 160<br />

52.25 � 22.25 � 139 kN/m 2<br />

� 3.3 mm

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