Civil Engineering Gate Yearwise 

Civil Engineering Gate 2021 Set-1 Questions with Answer

Ques 40 GATE 2021 SET-1

The values of abscissa (x) and ordinate (y) of a curve are as follows:

By Simpson's 1/3rd rule, the area under the curve (round off to two decimal places) is _______.


(20.00 to 21.00) is the correct answer.

Ques 41 GATE 2021 SET-1

Vehicular arrival at an isolated intersection follows the Poisson distribution. The mean vehicular arrival rate is 2 vehicle per minute. The probability (round off to two decimal places) that at least 2 vehicles will arrive in any given 1-minute interval is _______.


(0.58 to 0.60) is the correct answer.

Ques 42 GATE 2021 SET-1

Refer the truss as shown in the figure (not to scale).

If load, F = 10√3 kN, moment of inertia, I = 8.33 × 106 mm4, area of cross-section, A = 104 mm2, and length, L = 2 m for all the members of the truss, the compressive stress (in kN/m2, in integer) carried by the member Q-R is _______.


(490 to 510) is the correct answer.

Ques 43 GATE 2021 SET-1

A prismatic cantilever prestressed concrete beam of span length, L = 1.5 m has one straight tendon placed in the cross-section as shown in the following figure (not to scale). The total prestressing force of 50 kN in the tendon is applied at dc = 50 mm from the top in the cross-section of width, b = 200 mm and depth, d = 300 mm.

If the concentrated load, P = 5 kN, the resultant stress (in MPa, in integer) experienced at point 'Q' will be _______.


(0 to 0) is the correct answer.

Ques 44 GATE 2021 SET-1

A column is subjected to a total load (P) of 60 kN supported through a bracket connection, as shown in the figure (not to scale).

The resultant force in bolt R (in kN, round off to one decimal place) is _______.


(27.0 to 29.0) is the correct answer.

Ques 45 GATE 2021 SET-1

Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, L = 8 m; modulus of elasticity, E = 3 × 104 N/mm2; moment of inertia, I = 225 × 106 mm4.

The mid-span deflection of the beam (in mm, round off to integer) under P = 100 kN in downward direction will be _______.


(100 to 130) is the correct answer.

Ques 46 GATE 2021 SET-1

A square plate O-P-Q-R of a linear elastic material with sides 1.0 m is loaded in a state of plane stress. Under a given stress condition, the plate deforms to a new configuration O-P'-Q'-R' as shown in the figure (not to scale). Under the given deformation, the edges of the plate remain straight.

The horizontal displacement of the point (0.5 m, 0.5 m) in the plate O-P-Q-R (in mm, round off to one decimal place) is _______.


(2.4 to 2.6) is the correct answer.

Ques 47 GATE 2021 SET-1

A small project has 12 activities - N, P, Q, R, S, T, U, V, W, X, Y, and Z. The relationship among these activities and the duration of these activities are given in the Table.

The total float of the activity ""V"" (in weeks, in integer) is _______.


(0 to 0) is the correct answer.

Ques 48 GATE 2021 SET-1

The soil profile at a construction site is shown in the figure (not to scale). Ground water table (GWT) is at 5 m below the ground level at present. An old well data shows that the ground water table was as low as 10 m below the ground level in the past. Take unit weight of water, γw = 9.81 kN/m3. The overconsolidation ratio (OCR) (round off to two decimal places) at the mid-point of the clay layer is _______.


(1.18 to 1.26) is the correct answer.

Ques 49 GATE 2021 SET-1

A retaining wall of height 10 m with clay backfill is shown in the figure (not to scale). Weight of the retaining wall is 5000 kN per m acting at 3.3 m from the toe of the retaining wall. The interface friction angle between base of the retaining wall and the base soil is 20°. The depth of clay in front of the retaining wall is 2.0 m. The properties of the clay backfill and the clay placed in front of the retaining wall are the same. Assume that the tension crack is filled with water. Use Rankine's earth pressure theory. Take unit weight of water, γw = 9.81 kN/m3.

The factor of safety (round off to two decimal places) against sliding failure of the retaining wall after ignoring the passive earth pressure will be _______.


(4.20 to 4.35) is the correct answer.

Ques 50 GATE 2021 SET-1

A combined trapezoidal footing of length L supports two identical square columns (P1 and P2) of size 0.5 m × 0.5 m as shown in the figure. The columns P1 and P2 carry loads of 2000 kN and 1500 kN, respectively.

If the stress beneath the footing is uniform, the length of the combined footing L (in m, round off to two decimal places) is _______.


(5.70 to 5.90) is the correct answer.

Ques 51 GATE 2021 SET-1

An unsupported slope of height 15 m is shown in the figure (not to scale), in which the slope face makes an angle 50° with the horizontal. The slope material comprises purely cohesive soil having undrained cohesion 75 kPa. A trial slip circle KLM, with a radius 25 m, passes through the crest and toe of the slope and it subtends an angle 60° at its center O. The weight of the active soil mass (W, bounded by KLMN) is 2500 kN/m, which is acting at a horizontal distance of 10 m from the toe of the slope. Consider the water table to be present at a very large depth from the ground surface.

Considering the trial slip circle KLM, the factor of safety against the failure of slope under undrained condition (round off to two decimal places) is _______.


(1.94 to 1.98) is the correct answer.

Ques 52 GATE 2021 SET-1

An unlined canal under regime conditions along with a silt factor of 1 has a bed width of flow 71.25 m. Assuming the unlined canal as a wide channel, the corresponding average depth of flow (in m, round off to two decimal places) in the canal will be _______.


(2.80 to 2.95) is the correct answer.

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