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Pile Design and Construction Practice, Fifth edition

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E u/c u<br />

3000<br />

2500<br />

2000<br />

1500<br />

1000<br />

500<br />

Foundations<br />

Axial strain (%)<br />

Typical strain range<br />

10 –3 10 –2 10 –1 100 101 0<br />

<strong>Pile</strong> groups under compressive loading 255<br />

Figure 5.17 Relationship between E u/c u <strong>and</strong> axial strain (after Jardine et al. (5.9) ).<br />

Table 5.1 Poisson’s ratio for various<br />

soils <strong>and</strong> rocks<br />

Clays (undrained) 0.5<br />

Clays (stiff, drained) 0.1–0.3<br />

Silt 0.3<br />

S<strong>and</strong>s 0.1–0.3<br />

Rocks 0.2<br />

Marsl<strong>and</strong> (5.10) obtained E u/c u equal to 348 for an upper glacial till, <strong>and</strong> 540 for a laminated<br />

glacial clay at Redcar, North Yorks.<br />

The influence factor I p in equation 5.14 is obtained from Steinbrenner’s curves<br />

(Figure 5.18) using the method developed by Terzaghi (5.11) . Values of F 1 <strong>and</strong> F 2 in Figure 5.18<br />

are related to the Poisson’s ratio (�) of the foundation soil. For a ratio of 0.5, I p � F 1. When the<br />

ratio is zero, I p � F 1 �F 2. Some values of Poisson’s ratio are shown in Table 5.1.<br />

When using the curves in Figure 5.18 to calculate the immediate settlement of a flexible<br />

pile group, the square or rectangular area in Figure 5.5 is divided into four equal rectangles.<br />

Equation 5.14 then gives the settlement at the corner of each rectangle. The settlement at the<br />

centre is then equal to 4 times the corner settlement. In the case of a rigid pile group such<br />

as a group with a rigid cap or supporting a rigid superstructure, the settlement at the centre<br />

of the longest edge (twice the corner settlement) is obtained <strong>and</strong> the average settlement of<br />

the group obtained from the equation:<br />

� average � (� centre � � corner � � centre long edge)/3<br />

(5.20a)<br />

These calculations can be performed by computer using a program such as VDISP in the<br />

OASYs GEO suite.<br />

The curves in Figure 5.18 assume that E u is constant with depth. Calculations based on a constant<br />

value can over-estimate the settlement. Usually the deformation modulus in soils <strong>and</strong> rocks

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