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Pile Design and Construction Practice, Fifth edition

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

Table 5.3 Values of deformation modulus of Chalk (after Lord et al. (4.43) )<br />

Density Grade ‘Yield’ stress Ultimate bearing Secant modulus at ‘Yield’ modulus<br />

(MN/m 2 ) capacity (MN/m 2 ) applied stress of (MN/m 2 )<br />

200 kN/m 2 (MN/m 2 )<br />

Medium/high A — 16 1500–3000 —<br />

B 0.3–0.5 4.0–7.7 1500–2000 35–80<br />

C 0.3–0.5 4.0–7.7 300–1500 35–80<br />

Low B <strong>and</strong> C 0.25–0.5 1.5–2.0 200–700 15–35<br />

(Low) D c 0.25–0.5 — 200 20–30<br />

D m — — 6 —<br />

It is likely that weathered rocks will show an increase in E d with depth as the state of<br />

weathering decreases from complete at rockhead to the unweathered condition. If it is<br />

possible to draw a straight line through the increasing values the influence factors in<br />

Figure 5.19 can be used in conjunction with equation 5.21 to obtain the settlement at the<br />

centre of the loaded area. These curves were established by Butler (5.12) for a Poisson’s ratio<br />

of 0.5, but most rock formations have lower ratios. Meigh (5.23) stated that the Poisson’s<br />

ratio of Triassic rocks is about 0.1 to 0.3.<br />

Meigh (5.23) derived curves for the influence factors shown in Figure 5.33 for various<br />

values of the constant k in equation 5.39 where<br />

k � (5.39)<br />

<strong>and</strong> for a Poisson’s ratio of 0.2. He applied further corrections to the calculation of the<br />

settlement at the corner of the foundation where<br />

(Ed � Ef)B/H Ef Settlement at corner � �i � (5.40)<br />

qnBI�p The corrected settlement is given by<br />

where<br />

�c (corrected) � (5.41)<br />

qnBI�p � FB � FD E f<br />

Table 5.4 Values of deformation modulus<br />

of Mercia Mudstone (Keuper<br />

Marl) at low stress levels (after<br />

Ch<strong>and</strong>ler <strong>and</strong> Davis (5.27) )<br />

Zone Deformation modulus (MN/m 2 )<br />

I 26–250<br />

II 9–70<br />

III 2–48<br />

IV 2–13<br />

E f<br />

F B � correction factor for roughness of base (Figure 5.34)<br />

F D � correction factor for depth of embedment (Figure 5.35)

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