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Volume 6 – Geotechnical Manual, Site Investigation and Engineering ...

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Chapter 9 FOUNDATION ENGINEERING<br />

E pe = equivalent Young’s modulus of the pile = 4E pI p<br />

r o<br />

4<br />

For a given problem, iterations will be necessary to evaluate the values of L c <strong>and</strong> G c . Expressions for<br />

deflection <strong>and</strong> rotation at ground level given by R<strong>and</strong>olph's elastic continuum formulation are<br />

summarised in Figure 9.14.<br />

Results of horizontal plate loading tests carried out from within a h<strong>and</strong>-dug caisson in completely<br />

weathered granite (Whiteside, 1981) indicate the following range of correlation:<br />

E h ' = 0.1 N to 1.9 N (MPa) (9.26)<br />

where E h ' is the drained horizontal Young's modulus of the soil.<br />

The modulus may be nearer the lower bound if disturbance due to pile excavation <strong>and</strong> stress relief is<br />

excessive. The reloading modulus was however found to be two to three times the above values.<br />

Plumbridge et al (2000b) carried out lateral loading tests on large-diameter bored piles <strong>and</strong> barrettes<br />

in fill <strong>and</strong> alluvial deposits. Testing arrangement on five sites included a 100 cycle bi-directional<br />

loading stage followed by a five-stage maintained lateral loading test. The cyclic loading indicated<br />

only a negligible degradation in pile-soil stiffness after the 100 cycle bi-direction loading. The<br />

deflection behaviour for piles in push or pull directions was generally similar. Based on the deflection<br />

profile of the single pile in maintained-load tests, the correlation between horizontal Young's<br />

modulus, E h ' <strong>and</strong> SPT N value was found to range between 3 N <strong>and</strong> 4 N (MPa).<br />

Lam et al (1991) reported results of horizontal Goodman Jack tests carried out from within a caisson<br />

in moderately to slightly (Grade III / II) weathered granite. The interpreted rock mass modulus was<br />

in the range of 3.1 to 8.2 GPa.<br />

In the absence of site-specific field data, the above range of values may be used in preliminary<br />

design of piles subject to lateral loads.<br />

Free-head Piles<br />

δ h = E p/G c 1<br />

7<br />

0.27H<br />

+ 0.3M<br />

ρ c 'G c 0.5L c 0.5L c 2<br />

Ө = E p/G c 1<br />

7<br />

0.3H<br />

+ 0.8 'M<br />

<br />

ρ c 'G c . 0.5L c 3<br />

The maximum moment for a pile under a lateral load H occurs<br />

at depth between 0.25L c (for homogenous soil) <strong>and</strong> 0.33L c<br />

(for soil with stiffness proportional to depth). The value of the<br />

maximum bending moment M max may be approximated using<br />

the following expression:<br />

M max = 0.1 H L c<br />

ρ c '<br />

Figure 9.13 Analysis of Behaviour of a Laterally Loaded Pile Using the Elastic Continuum Method<br />

(R<strong>and</strong>olph, 1981a)<br />

9-44 March 2009

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