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Pile Design and Construction Practice, Fifth edition

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224 Resistance of piles to compressive loads<br />

For cu���vo � 110�98 � 1.1, Figure 4.6 gives �p � 0.5, <strong>and</strong> for L/B � 10/0.35 � 29, the<br />

length factor � 1.0, giving � � 0.5.<br />

Ultimate shaft resistance � 0.5 � 110 � 4 � 0.35 � 10 � 770 kN.<br />

Total pile resistance � 770 � 91 � 861 kN.<br />

Factor of safety on compression load � 861/(240 � 110) � 2.5 which is satisfactory.<br />

Factor of safety on uplift load � 770 � 200 � 3.8 (satisfactory).<br />

The above calculations using permissible stress methods can be checked for compliance<br />

with the EC7 recommendations. Considering first the actions using the factors in Table 4.1:<br />

Set A1, design value of actions � F d � 1.35 � 240 � 1.5 � 110 � 489 kN.<br />

Set A2, design value of actions � F d � 1.0 � 240 � 1.3 � 110 � 383 kN.<br />

The pile resistances are calculated from equation 4.10 for each borehole as follows:<br />

BH1: R cal � 9 � 75 � 0.35 � 0.5 � 85 � 4 � 0.35 � 10 � 83 � 595 � 678 kN.<br />

BH2: R cal � 83 � 80/75 � 595 � 115/85 � 893 kN.<br />

BH3: R cal � 83 � 95/75 � 595 � 130/85 � 1015 kN.<br />

The mean <strong>and</strong> minimum values of R cal are<br />

R cal (mean) � (687 � 893 � 1015)/3 � 862 kN.<br />

R cal (min) � 678 kN (BH1).<br />

The above values are divided by correction factors 1.33 (mean) <strong>and</strong> 1.23 (min) for three<br />

boreholes (Table 4.6) to give the characteristic values:<br />

R ck (mean) � 862/1.33 � 648 kN, <strong>and</strong><br />

R ck (min) � 672/1.23 � 551 kN.<br />

The least value of Rck is taken as 551 kN to calculate the design value Rcd. Because the<br />

jetty structure is relatively flexible Rck is not multiplied by the factor of 1.1.<br />

Using design approach DA1 <strong>and</strong> combination 1 (sets A1 � M1 � R1), for a driven pile<br />

in compression, the factors <strong>and</strong> for M1 <strong>and</strong> R1 sets are unity (Tables 4.2 <strong>and</strong> 4.3).<br />

� b<br />

� s<br />

Therefore design R cd � (83 � 595) / 1.23 � 551 kN which is greater than F d for the A1 set.<br />

For DA1 <strong>and</strong> combination 2 (sets A2 � M1 � R4), M1 (structural actions) is unity <strong>and</strong><br />

R4 is 1.4. Hence design R cd � (83 � 595) / 1.23 � 1.4 � 393 kN, whcih is greater than F d<br />

for the A2 set.<br />

From the above check it can be concluded that the required penetration depth of 10 m into<br />

the stiff clay as calculated by permissible stress methods with a safety factor of 2.5 complies<br />

with the recommendations of EC7.<br />

Example 4.2<br />

A steel tubular pile 1.220 m in outside diameter forming part of a berthing structure is required<br />

to carry a working load in compression of 16 MN <strong>and</strong> a uplift of 8 MN. The pile is driven with

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