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Pile Design and Construction Practice, Fifth edition

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362 <strong>Pile</strong>s to resist uplift <strong>and</strong> lateral loading<br />

<strong>Design</strong> resistance of deadman anchor in strong chalk �0.8�1000���0.215�<br />

10/1.4�3860 kN.<br />

Total design resistance of pile <strong>and</strong> anchor � 148 � 3860 � 4008 kN, which is greater<br />

than the design uplift of 2100 kN.<br />

Checking the uplift resistance of the overlapping cones using the UPL limit-state factors,<br />

Table 6.2 gives a partial factor of 1.25 on the angle of shearing resistance. Therefore the<br />

characteristic resistance due to the submerged weight of the cones <strong>and</strong> the frictional resistance<br />

surrounding them is equal to 2747 � 3755/1.25 � 5751 kN. From Table 6.1 the partial<br />

factor to obtain the design value of the favourable stabilizing action is 0.9.<br />

<strong>Design</strong> value � 0.9 � 5751 � 5175 kN.<br />

Vertical component of variable destabilizing action � 2800 � sin 71.5��2655 kN.<br />

Table 6.1 gives a partial factor of 1.5 for variable unfavourable actions. From equation 6.4:<br />

V dstd � 1.5 � 2655 kN � 3983 which is less than the design resistance of 5175 kN.<br />

If shear connectors are to be provided equation 6.6 can be used to calculate the required<br />

bond length. It is not strictly valid for the geometry of the connection but this example will<br />

illustrate the use of the equations. Assume a characteristic grout compression strength of<br />

25 N/mm 2 at 3 days <strong>and</strong> a modular ratio of 18. For a shear key upst<strong>and</strong> height of 10 mm <strong>and</strong><br />

a spacing of 150 mm, the ratio h/s of 0.067 gives C s � 1.0. Assume a bond length to anchor<br />

tube diameter greater than 12 to give C L � 0.7.<br />

From equation 6.7, stiffness factor:<br />

K � 1<br />

18� 568<br />

200� �1<br />

�� 168 600<br />

�<br />

16 16� �1<br />

� 0.04<br />

From equation 6.6, characteristic bond strength:<br />

10<br />

� 0.04�0.7 �9�1 � 1100�<br />

150��25 � 11.5 N/mm 2<br />

For work of this kind special grout monitoring would not be used. Hence a safety factor of<br />

6 should be used giving,<br />

Allowable bond strength N/mm2 �<br />

1329 � 1000<br />

Required bond length over anchor � � 1323 mm<br />

� � 168.3 � 1.9 11.5<br />

� 1.9<br />

6<br />

Therefore provide 1323/150 � 8.8, say 9 shear keys spaced at 150 mm centre over a<br />

distance of 1.3 m over anchor tube <strong>and</strong> pile.<br />

Example 6.4<br />

A vertical bored <strong>and</strong> cast in-situ pile 900 mm in diameter is installed to a depth of 6 m in a<br />

stiff over-consolidated clay ( cu � 120 kN/m ). Find the ultimate<br />

2 , c��10 kN/m2 , ���25�

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