1
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.67

A soil sample is underlying a water column of height h1, as shown in the figure. The vertical effective stresses at point A, B and C are $$\sigma {'_A}$$, $$\sigma {'_B}$$ and $$\sigma {'_C}$$ respectively. Let $$\gamma$$sat and $$\gamma$$' be the saturated and submerged unit weights of the soil sample, respectively and $$\gamma$$w be the unit weight of water. Which one of the following expressions correctly represents the sum ($$\sigma {'_A}$$ + $$\sigma {'_B}$$ + $$\sigma {'_C}$$) ?

GATE CE 2022 Set 2 Geotechnical Engineering - Effective Stress and Permeability Question 2 English

A
(h1 + h2 + h3)$$\gamma$$sat
B
(2h2 + h3)$$\gamma$$'
C
(h2 + h3) ($$\gamma$$sat $$-$$ $$\gamma$$w)
D
(h1 + h2 + h3)g'
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

Read the following statements :

(P) While designing a shallow footing in sandy soil, monsoon season is considered for critical design in terms of bearing capacity.

(Q) For slope stability of an earthen dam, sudden drawdown is never a critical condition.

(R) In a sandy sea beach, quicksand condition can arise only if the critical hydraulic gradient exceeds the existing hydraulic gradient.

(S) The active earth thrust on a rigid retaining wall supporting homogenous cohesionless backfill will reduce with the lowering of water table in the backfill.

Which one of the following combinations is correct?

A
(P)-False, (Q)-True, (R)-False, (S)-False
B
(P)-False, (Q)-True, (R)-True, (S)-True
C
(P)-True, (Q)-False, (R)-False, (S)-False
D
(P)-True, (Q)-False, (R)-True, (S)-True
3
GATE CE 2022 Set 2
Numerical
+1
-0.33

The inside diameter of a sampler tube is 50 mm. The inside diameter of the cutting edge is kept such that the Inside Clearance Ratio (ICR) is 1.0% to minimize the friction on the sample as the sampler tube enters into the soil. The inside diameter (in mm) of the cutting edge is _________. (round off to two decimal places)

Your input ____
4
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 ____
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