GATE CE topic:infrastructure PYQs & Answers — Page 48

Questions 471–480 of 1300. Imported answers require independent review unless marked reviewed.

Consider that a force P is acting on the surface of a half-space (Bousinesq’s problem). The expression for the vertical stress (

) at a point (r, z), within the half-space is given as,

where r is the radial distance and z is the depth with downward direction taken as positive. At any given r, there is a variation of

along z and at a specific z, the value of

will be maximum. What is the locus of the maximum

Your answerChoose one option.

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In the given figure, Point O indicates the stress point of a soil element at initial non-hydrostatic stress condition. For the stress path (OP), which of the following loading conditions is correct?

Diagram for Civil Engineering question 41

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is increasing and

is constant

is constant and

is increasing

is increasing and

is decreasing

is decreasing and

is increasing

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A square footing of size 2.5 m × 2.5 m is placed 1.0 m below the ground surface on a cohesionless homogeneous soil stratum. Considering that the groundwater table is located at the base of the footing, the unit weights of soil above and below the groundwater table are 18 kN/m³ and 20 kN/m³, respectively, and the bearing capacity factor

is 58, the net ultimate bearing capacity of the soil is estimated as 1706 kPa (unit weight of water = 10 kN/m³).

Earlier, a plate load test was carried out with a circular plate of 30 cm diameter in the same foundation pit during a dry season, when the water table was located beyond the plate influence zone. Using Terzaghi’s bearing capacity formula, what is the ultimate bearing capacity (in kPa) of the plate?

Your answerChoose one option.

110.16

61.20

204.00

163.20

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The figure shows a vertical retaining wall with backfill consisting of cohesive-frictional soil and a failure plane developed due to passive earth pressure. The forces acting on the failure wedge are: P as the reaction force between the wall and the soil, R as the reaction force on the failure plane, C as the cohesive force along the failure plane and W as the weight of the failure wedge. Assuming that there is no adhesion between the wall and the wedge, identify the most appropriate force polygon for the wedge.

Diagram for Civil Engineering question 42

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Diagram for Civil Engineering question 42 (figure 2)

Diagram for Civil Engineering question 42 (figure 3)

Diagram for Civil Engineering question 42 (figure 4)

Diagram for Civil Engineering question 42 (figure 5)

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A very wide rectangular channel carries a discharge (Q) of 70 m³/s per meter width. Its bed slope changes from 0.001 to 0.009 at a point P, as shown in the figure (not to scale). The Manning’s roughness coefficient of the channel is 0.01. What water surface profile(s) exist(s) near the point P?

Diagram for Civil Engineering question 43

Your answerChoose one option.

M₂ and S₂

M₂ only

S₂ only

S₂ and hydraulic jump

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A compound symmetrical open channel section as shown in the figure has a maximum of ______ critical depth(s).

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A jet of water having a velocity of 20 m/s strikes a series of plates fixed radially on a wheel revolving in the same direction as the jet at 15 m/s. What is the percentage efficiency of the plates? (round off to one decimal place)

Your answerChoose one option.

37.5

66.7

50.0

88.9

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The critical flow condition in a channel is given by ______.

[Note:

– kinetic energy correction factor;

– discharge;

– cross-sectional area of flow at critical flow condition;

– top width of flow at critical flow condition;

– acceleration due to gravity]

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In the following table, identify the correct set of associations between the entries in Column-1 and Column-2.

Column-1	Column-2
P: Reverse Osmosis	I: Ponding
Q: Trickling Filter	II: Freundlich Isotherm
R: Coagulation	III: Concentration Polarization
S: Adsorption	IV: Charge Neutralization

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P-II, Q-I, S-III

Q-III, R-II, S-IV

P-IV, R-I, S-II

P-III, Q-I, R-IV

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Match the following air pollutants with the most appropriate adverse health effects:

Air pollutant	Health effect to human and/or test animal
(P) Aromatic hydrocarbons	(I) Reduce the capability of the blood to carry oxygen
(Q) Carbon monoxide	(II) Bronchitis and pulmonary emphysema
(R) Sulfur oxides	(III) Damage of chromosomes
(S) Ozone	(IV) Carcinogenic effect

Your answerChoose one option.

(P) – (II), (Q) – (I), (R) – (IV), (S) – (III)

(P) – (IV), (Q) – (I), (R) – (III), (S) – (II)

(P) – (II), (Q) – (I), (R) – (II), (S) – (IV)

(P) – (IV), (Q) – (I), (R) – (II), (S) – (III)

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GATE CE topic:infrastructure PYQs

Question 41

Question 41

Question 42

Question 42

Question 43

Question 43

Question 44

Question 44

Question 45

Question 45