GATE CE format:nat PYQs & Answers — Page 48

Questions 471–480 of 495. Imported answers require independent review unless marked reviewed.

Topic practice 495 questionsPage 48 of 50

A 2 m long, axially loaded mild steel rod of 8 mm diameter exhibits the load-displacement (

) behavior as shown in the figure.

Diagram for Civil Engineering question 43

Assume the yield stress of steel as 250 MPa. The complementary strain energy (in N-mm) stored in the bar up to its linear elastic behavior will be

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A particle of mass 2 kg is travelling at a velocity of 1.5 m/s. A force

(in N) is applied to it in the direction of motion for a duration of 2 seconds, where

denotes time in seconds. The velocity (in m/s, up to one decimal place) of the particle immediately after the removal of the force is

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Consider a square-shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of

kN are applied on this area, one at each corner.

Diagram for Civil Engineering question 44

The vertical stress increment (in kPa, up to one decimal place) due to these loads according to the Boussinesq’s equation, at a point 5 m right below M, is

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The activity details of a project are given below:

Activity	Depends on	Duration (in days)
P	--	6
Q	P	15
R	Q, T	12
S	R	16
T	P	10
U	Q, T	14
V	U	16

The estimated minimum time (in days) for the completion of the project will be

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The figure shows a U-tube having a 5 mm × 5 mm square cross-section filled with mercury (specific gravity = 13.6) up to a height of 20 cm in each limb (open to the atmosphere).

Diagram for Civil Engineering question 45

If 5 cm

of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be

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It is proposed to drive H-piles up to a depth of 7 m at a construction site. The average surface area of the H-pile is 3 m

per meter length. The soil at the site is homogeneous sand, having an effective friction angle of 32°. The ground water table (GWT) is at a depth of 2 m below the ground surface. The unit weights of the soil above and below the GWT are 16 kN/m

and 19 kN/m

, respectively. Assume the earth pressure coefficient,

, and the angle of wall friction,

. The total axial frictional resistance (in kN, up to one decimal place) mobilized on the pile against the driving is

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A 1 m wide rectangular channel carries a discharge of 2 m

/s. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that corresponding to a particular specific energy, the subcritical depth is twice the supercritical depth. The subcritical depth (in meters, up to two decimal places) is equal to

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The infinite sand slope shown in the figure is on the verge of sliding failure. The ground water table coincides with the ground surface. Unit weight of water

kN/m

Diagram for Civil Engineering question 47

The value of the effective angle of internal friction (in degrees, up to one decimal place) of the sand is

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A catchment is idealized as a 25 km × 25 km square. It has five rain gauges, one at each corner and one at the center, as shown in the figure.

During a month, the precipitation at these gauges is measured as

mm,

mm and

mm. The average precipitation (in mm, up to one decimal place) over the catchment during this month by using the Thiessen polygon method is

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A sluice gate used to control the flow in a horizontal channel of unit width is shown in the figure.

Diagram for Civil Engineering question 48

It is observed that the depth of flow is 1.0 m upstream of the gate, while the depth is 0.2 m downstream of the gate. Assuming a smooth flow transition across the sluice gate, i.e., without any energy loss, and the acceleration due to gravity as 10 m/s

, the discharge (in m

/s, up to two decimal places) passing under the sluice gate is

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GATE CE format:nat PYQs

Question 43

Question 44

Question 44

Question 45

Question 45

Question 46

Question 46

Question 47

Question 47

Question 48