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Pile Design and Construction Practice, Fifth edition

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The shear modulus G in equation 4.30 can be measured in the field using a pressuremeter<br />

(Section 11.1.4) or a seismic cone penetrometer, or obtained by correlation with CPT data<br />

using the relationship established by Chow (4.32) :<br />

<strong>and</strong><br />

G � q c(A � B � � C 2 )<br />

� � q c��P a�� vo<br />

(4.31)<br />

(4.32)<br />

The term �f in equation 4.30 is equal to twice the average roughness Rcla of the pile<br />

surface which is the average height of the peaks <strong>and</strong> troughs above <strong>and</strong> below the centre line.<br />

For lightly rusted steel �r<br />

is 0.02 mm. �� rf is inversely proportional to the pile radius <strong>and</strong><br />

tends to zero for large-diameter piles.<br />

In equation 4.31:<br />

A = 0.0203<br />

B = 0.00125<br />

C = 1.216 �10 �6<br />

<strong>Pile</strong>s driven with open ends develop a lower shaft resistance than closed-end piles because<br />

of their smaller volume displacement when a solid plug is not carried down during driving.<br />

The open unplugged end is allowed for by adopting an equivalent pile radius R* (see<br />

equation 4.24). Equation 4.29 becomes<br />

�� rc<br />

�� vo<br />

Resistance of piles to compressive loads 185<br />

= 0.029q c( /P a) 0.13 (h/R*) –0.38 (4.33)<br />

To use the ICP method the embedded shaft length is divided into a number of short<br />

sections of thickness h depending on the layering of the soil <strong>and</strong> the variation with depth of<br />

the CPT readings. A mean line is drawn through the plotted qc values over the depths of the<br />

identified soil layers. A line somewhat higher than the mean is drawn when the ICP method<br />

is used to estimate pile driveability when the shaft resistance must not be underestimated.<br />

From a data base of pile tests in calcareous s<strong>and</strong>s, Jardine et al. (4.30) stated that the ICP<br />

method was viable in these materials <strong>and</strong> recommended that the density should be taken as<br />

7.5 kN/m3 for calculating <strong>and</strong> the interface angle �f as 25�. The third term in equation<br />

4.28 is omitted ( = ) <strong>and</strong> equation 4.29 for open-end piles is modified to become<br />

= 72( /Pa) 0.84 (h/R * ) –0.35 ��vo ��rf ��rc ��rc ��vo . For closed-end piles R is substituted for R*.<br />

The ICP method was used to compare the calculated distribution of interface shear stress<br />

at failure with stresses measured over the shaft depth of a well-instrumented 762 mm OD pile<br />

driven with an open end to a depth of 44 m into medium-fine silty micaceous s<strong>and</strong> in<br />

Bangladesh. The test was made as part of the trial piling for the foundations of the Jamuna<br />

River bridge at Sirajgang (4.33, 4.34) as described in Section 9.6.2. The observed <strong>and</strong> calculated<br />

distributions of stress are compared in Figure 4.22. It will be noted that the ICP method<br />

considerably over-estimated the measured stresses. This was commented on by Jardine<br />

et al. (4.30) with no conclusions as to the reasons for the over-estimate. However, he pointed<br />

out that the Jamuna piles developed very marked increases in bearing capacity with time as<br />

noted in Section 4.3.8. A study of the shaft friction measurements made on two 762 mm trial

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