pile of circular cross-section, 15 m long and 0.5 m in diameter, is installed in a soft clay of unit weight 18 kN/m3. The pile is required to resist an applied upward vertical load by friction between the pile and the surrounding soil. Estimate the ultimate capacity of the pile:  (a)  In the short term, if the undrained shear strength of the clay at the clay/pile interface increases linearly from zero at the soil surface to 30 kPa at the base of the pile; (b)  In the long term, if the clay/pile interface has an effective angle of friction of 20o, pore water pressures are hydrostatic below a water table at the soil surface, and the ratio of the horizontal effective stress to the vertical effective stress is 0.5 at all depths.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A pile of circular cross-section, 15 m long and 0.5 m in diameter, is installed in a soft clay of unit weight 18 kN/m3. The pile is required to resist an applied upward vertical load by friction between the pile and the surrounding soil. Estimate the ultimate capacity of the pile: 

(a)  In the short term, if the undrained shear strength of the clay at the clay/pile interface increases linearly from zero at the soil surface to 30 kPa at the base of the pile;

(b)  In the long term, if the clay/pile interface has an effective angle of friction of 20o, pore water pressures are hydrostatic below a water table at the soil surface, and the ratio of the horizontal effective stress to the vertical effective stress is 0.5 at all depths.

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