GATE CE 2022 Set 1 — Question 54
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Geotechnical Engineering → Deep Foundations → Pile Capacity in Clays
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Question
A square concrete pile of 10 m length is driven into a deep layer of uniform homogeneous clay. Average unconfined compressive strength of the clay, determined through laboratory tests on undisturbed samples extracted from the clay layer, is 100 kPa. If the ultimate compressive load capacity of the driven pile is 632 kN, the required width of the pile is _______ mm. (in integer)
(Bearing capacity factor ; adhesion factor )
(Bearing capacity factor ; adhesion factor )
Correct answer
400 to 400
Solution
Given:
m, kPa kPa, kN, , .
Let be the width of the square pile in meters.
Taking the positive root: m.
Width in mm = mm.
m, kPa kPa, kN, , .
Let be the width of the square pile in meters.
1.Ultimate load capacity
2.Base resistance kN.
3.Skin friction kN.
4.Total capacity: .
5.Solving the quadratic equation for :
.Taking the positive root: m.
Width in mm = mm.
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