Civil Engineering Gate 2020 Set-1 Questions with Answer

Ques 40 GATE 2020 SET-1


A cantilever beam PQ of uniform flexural rigidity (EI) is subjected to a concentrated moment M at R as shown in the figure.

The deflection at the free end Q is

A

ML2 / 6EI

B

ML2 / 4EI

C

3ML2 / 8EI

D

3ML2 / 4EI


(c) is the correct answer.

Ques 41 GATE 2020 SET-1


A dowel bar is placed at a contraction joint. When contraction occurs, the concrete slab cracks at predetermined location(s). Identify the arrangement, which shows the correct placement of dowel bar and the place of occurrence of the contraction crack(s).

A

B

C

D


(b) is the correct answer.

Ques 42 GATE 2020 SET-1


The relationship between traffic flow rate (q) and density (D) is shown in the figure.

The shock wave condition is depicted by

A

flow with respect to point 1 (q1 = qmax)

B

flow changing from point 2 to point 6 (q2 > q6)

C

flow changing from point 3 to point 7 (q3 < q7)

D

flow with respect to point 4 and point 5 (q4 = q5)


(c) is the correct answer.

Ques 43 GATE 2020 SET-1


The appropriate design length of a clearway is calculated on the basis of 'Normal Take-off' condition. Which one of the following options correctly depicts the length of the clearway? (Note: None of the options are drawn to scale)

A

B

C

D


(c) is the correct answer.

Ques 44 GATE 2020 SET-1


The total stress paths corresponding to different loading conditions, for a soil specimen under the isotropically consolidated stress state (O), are shown below.

The correct match between the stress paths and the listed loading conditions, is

A

OP-I, OQ-II, OR-IV, OS-III

B

OP-IV, OQ-III, OR-I, OS-II

C

OP-III, OQ-II, OR-I, OS-IV

D

OP-I, OQ-III, OR-II, OS-IV


(b) is the correct answer.

Ques 45 GATE 2020 SET-1


The soil profile at a site up to a depth of 10 m is shown in the figure (not drawn to the scale). The soil is preloaded with a uniform surcharge (q) of 70 kN/m2 at the ground level. The water table is at a depth of 3 m below ground level. The soil unit weight of the respective layers is shown in the figure. Consider unit weight of water as 9.81 kN/m3 and assume that the surcharge (q) is applied instantaneously.

Immediately after preloading, the effective stresses (in kPa) at points P and Q, respectively, are

A

124 and 204

B

36 and 90

C

36 and 126

D

54 and 95


(d) is the correct answer.

Ques 46 GATE 2020 SET-1


Water flows at the rate of 12 m3/s in a 6 m wide rectangular channel. A hydraulic jump is formed in the channel at a point where the upstream depth is 30 cm (just before the jump). Considering acceleration due to gravity as 9.81 m/s2 and density of water as 1000 kg/m3, the energy loss in the jump is

A

114.2 kW

B

114.2 MW

C

141.2 h.p.

D

141.2 J/s


(a) is the correct answer.

Ques 47 GATE 2020 SET-1


A water supply scheme transports 10 MLD (Million Litres per Day) water through a 450 mm diameter pipeline for a distance of 2.5 km. A chlorine dose of 3.50 mg/litre is applied at the starting point of the pipeline to attain a certain level of disinfection at the downstream end. It is decided to increase the flow rate from 10 MLD to 13 MLD in the pipeline. Assume exponent for concentration, n = 0.86. With this increased flow, in order to attain the same level of disinfection, the chlorine dose (in mg/litre) to be applied at the starting point should be

A

3.95

B

4.40

C

4.75

D

5.55


(c) is the correct answer.

Ques 48 GATE 2020 SET-1


An open traverse PQRST is surveyed using theodolite and the consecutive coordinates obtained are given in the table.

If the independent coordinates (Northing, Easting) of station P are (400 m, 200 m), the independent coordinates (in m) of station T, are

A

194.7, 370.1

B

205.3, 429.9

C

394.7, 170.1

D

405.3, 229.9


(c) is the correct answer.

Ques 49 GATE 2020 SET-1


If C represents a line segment between (0, 0, 0) and (1, 1, 1) in Cartesian coordinate system, the value (expressed as integer) of the line integral ∫C [(y + z)dx + (x + z)dy + (x + y)dz] is _______.


(3 to 3) is the correct answer.

Ques 50 GATE 2020 SET-1


Consider the system of equations

The value of x3 (round off to the nearest integer), is _______.


(3 to 3) is the correct answer.

Ques 51 GATE 2020 SET-1


A rigid, uniform, weightless, horizontal bar is connected to three vertical members P, Q and R as shown in the figure (not drawn to the scale). All three members have identical axial stiffness of 10 kN/mm. The lower ends of bars P and R rest on a rigid horizontal surface. When NO load is applied, a gap of 2 mm exists between the lower end of the bar Q and the rigid horizontal surface. When a vertical load W is placed on the horizontal bar in the downward direction, the bar still remains horizontal and gets displaced by 5 mm in the vertically downward direction.

The magnitude of the load W (in kN, round off to the nearest integer), is _______.


(129 to 131) is the correct answer.

Ques 52 GATE 2020 SET-1


The flange and web plates of the doubly symmetric built-up section are connected by continuous 10 mm thick fillet welds as shown in the figure (not drawn to the scale). The moment of inertia of the section about its principal axis X-X is 7.73 × 106 mm4. The permissible shear stress in the fillet welds is 100 N/mm2. The design shear strength of the section is governed by the capacity of the fillet welds.

The maximum shear force (in kN, round off to one decimal place) that can be carried by the section, is _______.


(393.5 to 399.1) is the correct answer.

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