1
GATE CE 2022 Set 2
Numerical
+2
-0

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 $${\eta _g}$$ is given by

$${\eta _g} = 1 - {\theta \over {90}}\left[ {{{(n - 1)m + (m - 1)n} \over {mn}}} \right]$$

where m and n are number of rows and columns in the plan grid of pile arrangement and $$\theta = {\tan ^{ - 1}}\left( {{d \over s}} \right)$$.

The design value of the pile group capacity (in kN) in the vertical downward direction is _________. (round off to the nearest integer)

Your input ____
2
GATE CE 2022 Set 2
Numerical
+1
-0.33

In a triaxial unconsolidated undrained (UU) test on a saturated clay sample, the cell pressure was 100 kPa. If the deviatoric stress at failure was 150 kPa, then the undrained shear strength of the soil is _________ kPa. (in integer)

Your input ____
3
GATE CE 2022 Set 2
Numerical
+1
-0.33
A flood control structure having an expected life of n years is designed by considering a flood of return period T years. When T = n, and n $$\to$$ $$\infty$$, the structures hydrologic risk of failure in percentage is ____________. (rounded off to one decimal place)
Your input ____
4
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Match Column X with Column Y :

Column X Column Y
(P) Horton equation (I) Design of alluvial channel
(Q) Penman method (II) Maximum flood discharge
(R) Chezy's formula (III) Evapotranpiration
(S) Lacey's theory (IV) Infiltration
(T) Dicken's formula (V) Flow velocity

Which one of the following combinations is correct?

A
(P)-(IV), (Q)-(III), (R)-(II), (S)-(I), (T)-(V)
B
(P)-(III), (Q)-(IV), (R)-(I), (S)-(V), (T)-(II)
C
(P)-(IV), (Q)-(III), (R)-(V), (S)-(I), (T)-(II)
D
(P)-(III), (Q)-(IV), (R)-(V), (S)-(I), (T)-(II)
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