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GATE-Civil-Engg-2018-->View question

## The length of the pile required for the above design load with a factor of safety of 2.0 is (GATE-CIVIL-Engg-2018)

A 0.5 m × 0.5 m square concrete pile is to be driven in a homogeneous clayey soil having
undrained shear strength, cu = 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 as 0.75. The length of the pile required
for the above design load with a factor of safety of 2.0 is
(A) 5.2 m (B) 5.8 m (C) 11.8 m (D) 12.5 m

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Ans. (C)
Sol.
Given :
Size of square concrete pile 0.5m 0.5m  
Undrained shear strength, 50kPa Cu 
Unit weight, 3  18kN/m
Design capacity of pile  500kN
Factor of safety = 2
To find : Length of pile = ?
Ultimate capacity of pile = Design capacity of pile  Factor of safety
Take, 9 Nc  (for clays)
L =  11.8m

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