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GATE CE 2022 Set 2 — Question 54

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NAT+2 / -0MediumPile Group EfficiencyDeep FoundationsGeotechnical Engineering

Geotechnical Engineering → Deep Foundations → Pile Group Efficiency

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Question

A group of total 16 piles are arranged in a square grid format. The center-to-center spacing (ss) between adjacent piles is 3 m3\text{ m}. The diameter (dd) and length of embedment of each pile are 1 m1\text{ m} and 20 m20\text{ m}, respectively. The design capacity of each pile is 1000 kN1000\text{ kN} in the vertical downward direction. The pile group efficiency (ηg\eta_g) is given byηg=1−θ90[(n−1)m+(m−1)nmn]\eta_g = 1 - \frac{\theta}{90} \left[ \frac{(n - 1)m + (m - 1)n}{mn} \right]where mm and nn are number of rows and columns in the plan grid of pile arrangement, and θ=tan⁡−1(ds)\theta = \tan^{-1} \left( \frac{d}{s} \right).
The design value of the pile group capacity (in kN) in the vertical downward direction is __________________. (round off to the nearest integer)
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