GATE Civil Engineering (CE) 2022 Shift 2 Solved Paper

A group of total 16 piles are arranged in a square grid format. The center-to-center spacing (s) between adjacent piles is 3 m. The diameter (d) and length of embedment of each pile are 1 m and 20 m, respectively. The design capacity of each pile is 1000 kN in the vertical downward direction. The pile group efficiency (η_g) is given by
${\mathit{\eta }}_{\mathit{g}}=1-\frac{\mathit{\theta }}{90}\left[\frac{\left(\mathit{n}-1\right)\mathit{m}+\left(\mathit{m}-1\right)\mathit{n}}{\mathit{m}\mathit{n}}\right]$
where m and n are number of rows and columns in the plan grid of pile arrangement, and $\mathit{\theta }={\tan }^{-1}\left(\frac{\mathit{d}}{\mathit{s}}\right)$
The design value of the pile group capacity (in kN) in the vertical downward direction is __________________. (round off to the nearest integer)