GATE CE 2014 Set 2 — Question 49
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Geotechnical Engineering → Deep Foundations → Pile Capacity in Sands
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Question
A single vertical friction pile of diameter 500 mm and length 20 m is subjected to a vertical compressive load. The pile is embedded in a homogeneous sandy stratum where: angle of internal friction () = 30°, dry unit weight () = 20 kN/m and angle of wall friction () = . Considering the coefficient of lateral earth pressure () = 2.7 and the bearing capacity factor () = 25, the ultimate bearing capacity of the pile (in kN) is _______________
Correct answer
6150 to 6190
Solution
To find the ultimate bearing capacity of the friction pile, we calculate the skin friction resistance (). In this specific problem context (as per the official GATE answer key), the end bearing resistance is not included in the total capacity for the 'friction pile'.1. Given Data:
The skin friction resistance is given by the integral of the unit skin friction over the surface area of the pile:where:
- Diameter () = 500 mm = 0.5 m
- Length () = 20 m
- Dry unit weight () = 20 kN/m
- Angle of internal friction () = 30°
- Angle of wall friction () =
- Coefficient of lateral earth pressure () = 2.7
- Bearing capacity factor () = 25
The skin friction resistance is given by the integral of the unit skin friction over the surface area of the pile:where:
- is the unit skin friction at depth .
- is the effective vertical stress at depth .
- is the perimeter of the pile.
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