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Pile Design and Construction Practice, Fifth edition

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Compressive stress<br />

1.5 q n<br />

q n<br />

B<br />

A x<br />

C<br />

D<br />

x9<br />

Axial strain<br />

Stress–strain curve<br />

from plate loading test<br />

Strain corresponding to 1.5 q n<br />

E u �1.5q n /x9<br />

Strain corresponding<br />

to net foundation pressure q n<br />

E u � q n /x<br />

<strong>Pile</strong> groups under compressive loading 253<br />

(4) From relationships with the shear modulus (G ) obtained in the field by pressuremeter<br />

tests:<br />

E � 2G(1 � � u)<br />

E � 2G(1 � ��) , where �u <strong>and</strong> �� are the undrained <strong>and</strong> drained values of Poisson’s<br />

ratio respectively.<br />

With regard to method (1) a typical stress/strain curve obtained by a plate-bearing test in<br />

undrained conditions is shown in Figure 5.15. Purely elastic behaviour occurs only at low<br />

stress levels (line AB in Figure 5.15). Adoption of a modulus of elasticity (Young’s modulus)<br />

corresponding to AB could result in under-estimating the settlement. The usual procedure<br />

is to draw a secant AC to the curve corresponding to a compressive stress equal to the<br />

net foundation pressure at the base of the equivalent block foundation. More conservatively<br />

the secant AD can be drawn at a compressive stress of 1.5 times or some other suitable multiple<br />

of the foundation pressure. The deformation modulus E u is then obtained as shown in<br />

Figure 5.15.<br />

As an alternative to direct determination of E u from field tests, it can be obtained from a relationship<br />

with the undrained shear strength c u, the plasticity index <strong>and</strong> over-consolidation ratio<br />

of the clay established by Jamiolkowski et al. (5.6) (Figure 5.16). The latter value is derived<br />

from oedometer tests or from a knowledge of the geological history of the deposit. (5.7) These<br />

tests are used to calculate the long-term consolidation settlement of the foundation as<br />

described below. Knowing the oedometer settlement (� oed) provides another way of determining<br />

the immediate, consolidation <strong>and</strong> final settlements using the following relationships<br />

established by Burl<strong>and</strong> et al. (5.8)<br />

Figure 5.15 Determining deformation modulus E u from stress/strain curve.

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