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Pile Design and Construction Practice, Fifth edition

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<strong>Pile</strong> groups under compressive loading 265<br />

Burl<strong>and</strong> <strong>and</strong> Burbidge (5.19) have developed an empirical relationship between st<strong>and</strong>ard<br />

penetration test N-values <strong>and</strong> a term they have called the foundation subgrade compressibility,<br />

a f. This term is used in the equations:<br />

I c � a f<br />

B 0.7<br />

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

a f � � pi<br />

� q<br />

(5.26)<br />

(in mm per kN/m 2 ) (5.27)<br />

where Ic is a compressibility index<br />

B is the foundation width<br />

is the immediate settlement in mm<br />

��i<br />

�q is the increment of foundation pressure in kN/m 2<br />

I c <strong>and</strong> a f are related to the st<strong>and</strong>ard penetration test results shown in Figure 5.26 for normally<br />

consolidated granular soils. In very fine <strong>and</strong> silty s<strong>and</strong>s below the water table where N is<br />

greater than 15 the Terzaghi <strong>and</strong> Peck correction factor should be applied, giving<br />

N (corrected) � 15�0.5(N�15) (5.28)<br />

Where the material is gravel or s<strong>and</strong>y gravel, Burl<strong>and</strong> <strong>and</strong> Burbidge recommend a<br />

correction:<br />

N (corrected) � 1.25 N (5.29)<br />

It should be noted that the I c values in Figure 5.26 are based on the average N-values over<br />

the depth of influence, z I, of the foundation pressure. The depth of influence is related to the<br />

width of the loaded breadth B in Figure 5.27 for cases where N increases or is constant with<br />

depth. Where N shows consistent decrease with depth, z f is taken as equal to 2B or the base<br />

of the compressive layer, whichever is the lesser. The average N in Figure 5.26 is the<br />

arithmetic mean of the N-values over the depth of influence.<br />

In a normally consolidated s<strong>and</strong> the immediate average settlement, � i, corresponding to<br />

the average net applied pressure, q�, is given by<br />

� i � q��B 0.7 � I c (in mm)<br />

(5.30)<br />

In an over-consolidated s<strong>and</strong> or for loading at the base of an excavation for which the<br />

maximum previous overburden pressure was � vo <strong>and</strong> where q� is greater than � vo, the immediate<br />

settlement is given by<br />

� i � � q��2<br />

3 � vo� B0.7 � I c (in mm)<br />

where q� is less than � vo equation 5.31a becomes<br />

� i � q��B 0.7 � I c<br />

3<br />

(in mm)<br />

(5.31a)<br />

(5.31b)

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