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Civil Engineering Gate 2021 Set-2 Questions with Answer
Ques 40 GATE 2021 SET-2
A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically.

Ques 41 GATE 2021 SET-2
A fire hose nozzle directs a steady stream of water of velocity 50 m/s at an angle of 45° above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and inviscid. Consider the density of air and the air friction as negligible, and assume the acceleration due to gravity as 9.81 m/s2. The maximum height (in m, round off to two decimal places) reached by the stream above the hose nozzle will then be _______.
Ques 42 GATE 2021 SET-2
A rectangular cross-section of a reinforced concrete beam is shown in the figure. The diameter of each reinforcing bar is 16 mm. The values of modulus of elasticity of concrete and steel are 2.0 × 104 MPa and 2.1 × 104 MPa, respectively.

Ques 43 GATE 2021 SET-2
The activity details for a small project are given in the Table.

Ques 44 GATE 2021 SET-2
An equipment has been purchased at an initial cost of ₹160000 and has an estimated salvage value of ₹10000. The equipment has an estimated life of 5 years. The difference between the book values (in ₹, in integer) obtained at the end of 4th year using straight line method and sum of years digit method of depreciation is _______.
Ques 45 GATE 2021 SET-2
A rectangular footing of size 2.8 m × 3.5 m is embedded in a clay layer and a vertical load is placed with an eccentricity of 0.8 m as shown in the figure (not to scale). Take Bearing capacity factors: Nc = 5.14, Nq = 1.0, and Nγ = 0.0; Shape factors: sc = 1.16, sq = 1.0 and sγ = 1.0; Depth factors: dc = 1.1, dq = 1.0 and dγ = 1.0; and Inclination factors: ic = 1.0 and iq = 1.0 and ic = 1.0.

Ques 46 GATE 2021 SET-2
The soil profile at a road construction site is as shown in figure (not to scale). A large embankment is to be constructed at the site. The ground water table (GWT) is located at the surface of the clay layer, and the capillary rise in the sandy soil is negligible. The effective stress at the middle of the clay layer after the application of the embankment loading is 180 kN/m2. Take unit weight of water, γw = 9.81 kN/m2.

Ques 47 GATE 2021 SET-2
Numerically integrate, f(x) = 10x - 20x2 from lower limit a = 0 to upper limit b = 0.5. Use Trapezoidal rule with five equal subdivisions. The value (in units, round off to two decimal places) obtained is _______.
Ques 48 GATE 2021 SET-2
The void ratio of a clay soil sample M decreased from 0.575 to 0.510 when the applied pressure is increased from 120 kPa to 180 kPa. For the same increment in pressure, the void ratio of another clay soil sample N decreases from 0.600 to 0.550. If the ratio of hydraulic conductivity of sample M to sample N is 0.125, then the ratio of coefficient of consolidation of sample M to sample N (round off to three decimal places) is _______.
Ques 49 GATE 2021 SET-2
The hyetograph in the figure corresponds to a rainfall event of 3 cm.

Ques 50 GATE 2021 SET-2
A venturimeter as shown in the figure (not to scale) is connected to measure the flow of water in a vertical pipe of 20 cm diameter.

Ques 51 GATE 2021 SET-2
A reservoir with a live storage of 300 million cubic metre irrigates 40000 hectares (1 hectare = 104 m2) of a crop with two fillings of the reservoir. If the base period of the crop is 120 days, the duty for this crop (in hectares per cumec, round off to integer) will then be _______.
Ques 52 GATE 2021 SET-2
A reservoir with a live storage of 300 million cubic metre irrigates 40000 hectares (1 hectare = 104 m2) of a crop with two fillings of the reservoir. If the base period of the crop is 120 days, the duty for this crop (in hectares per cumec, round off to integer) will then be _______.
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