A 0.5 {m} \times 0.5 {m} square concrete pile is to be driven in a homogeneous clayed soil having undrained shear strength c_{u}=50 {kPa} and unit weight, \gamma=18.0 {kN} {/} {m}^{3}. The design capacity of the pile is 500 {kN}. The adhesion factor \alpha is given 0.75 . The length of the pile required for the above design load with a factor of safety of 2.0 is

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 44 of 65

Marks: +1, -0

0.5 {m} × 0.5 {m}

square concrete pile is to be driven in a homogeneous clayed soil having undrained shear strength

c_{u}=50 {kPa} \;\;

and

\;\;

unit

\;\;

weight,

γ=18.0 {kN} {/} {m}^{3}

. The design capacity of the pile is

500 {kN}

. The adhesion factor

α

is given

0.75 .

The length of the pile required for the above design load with a factor of safety of

2.0

Solution:

C_{u}=50 {kPa}, γ=18 {kN} {/} {m}^{3}, {FOS}=2

Q_{u p}=9 C × B^{2}+α \ov{C}(4 B L)=1000 {kN}

1000=9 × 50 × 0.5 × 0.5+0.75 × 50

(4 × 0.5 L)

L=11.83 {m}

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