Civil Engineering Gate 2019 Set-1 Questions with Answer

Ques 40 GATE 2019 SET-1


A completely mixed dilute suspension of sand particles having diameters 0.25, 0.35, 0.40, 0.45 and 0.50 mm are filled in a transparent glass column of diameter 10 cm and height 2.50 m. The suspension is allowed to settle without any disturbance. It is observed that all particles of diameter 0.35 mm settle to the bottom of the column in 30 s. For the same period of 30 s, the percentage removal (round off to integer value) of particles of diameters 0.45 and 0.50 mm from the suspension is _______.


(100 to 100) is the correct answer.

Ques 41 GATE 2019 SET-1


The maximum number of vehicles observed in any five minute period during the peak hour is 160. If the total flow in the peak hour is 1000 vehicles, the five minute peak hour factor (round off to 2 decimal places) is _______.


(0.51 to 0.53) is the correct answer.

Ques 42 GATE 2019 SET-1


A circular duct carrying water gradually contracts from a diameter of 30 cm to 15 cm. The figure (not drawn to scale) shows the arrangement of differential manometer attached to the duct.

When the water flows, the differential manometer shows a deflection of 8 cm of mercury (Hg). The values of specific gravity of mercury and water are 13.6 and 1.0, respectively. Consider the acceleration due to gravity, g = 9.81 m/s2.
Assuming frictionless flow, the flow rate (in m3/s, round off to 3 decimal places) through the duct is _______.


(0.078 to 0.085) is the correct answer.

Ques 43 GATE 2019 SET-1


The probability that the annual maximum flood discharge will exceed 25000 m3/s, at least once in next 5 years is found to be 0.25.
The return period of this flood event (in years, round off to 1 decimal place) is _______.


(17.8 to 18.0) is the correct answer.

Ques 44 GATE 2019 SET-1


A soil has a specific gravity of its solids equal to 2.65. The mass density of water is 1000 kg/m3.
Considering zero air voids and 10% moisture content of the soil sample, the dry density (in kg/m3, round off to 1 decimal place) would be _______.


(2086.6 to 2095.0) is the correct answer.

Ques 45 GATE 2019 SET-1


A concentrated load of 500 kN is applied on an elastic half space. The ratio of the increase in vertical normal stress at depths of 2 m and 4 m along the point of the loading, as per Boussinesq's theory, would be _______.


(4 to 4) is the correct answer.

Ques 46 GATE 2019 SET-1


Which one of the following is NOT a correct statement?

A

The function x√(x) (x > 0) has the global maxima at x = e.

B

The function x√(x) (x > 0) has the global minima at x = e.

C

The function x3 has neither global minima nor global maxima.

D

The function |x| has the global minima at x = 0.


(b) is the correct answer.

Ques 47 GATE 2019 SET-1


A one-dimensional domain is discretized into N sub-domains of width Δx with node numbers i = 0, 1, 2, 3,..., N. If the time scale is discretized in steps of Δt, the forward-time and centered-space finite difference approximation at ith node and nth time step, for the partial differential equation ∂v/∂t = β(∂2v/∂x2) is

A

(vin+1 - vin) / Δt = β * (vi+1n - 2vin + vi-1n) / Δx2

B

(vin - vin-1) / Δt = β * (vi+1n - 2vin + vi-1n) / Δx2

C

(vin+1 - vin-1) / (2Δt) = β * (vi+1n - 2vin + vi-1n) / Δx2

D

(vin+1 - vin) / Δt = β * (vi+1n+1 - 2vin+1 + vi-1n+1) / Δx2


(a) is the correct answer.

Ques 48 GATE 2019 SET-1


A rectangular open channel has a width of 5 m and a bed slope of 0.001. For a uniform flow of depth 2 m, the velocity is 2 m/s. The Manning's roughness coefficient for the channel is

A

0.002

B

0.017

C

0.033

D

0.050


(b) is the correct answer.

Ques 49 GATE 2019 SET-1


For the following statements:
P. The lateral stress in the soil while being tested in an oedometer is always at-rest.
Q. For a perfectly rigid strip footing at deeper depths in a sand deposit, the vertical normal contact stress at the footing edge is greater than that at its centre.
R. The corrections for overburden pressure and dilatancy are not applied to measured SPT-N values in case of clay deposits. The correct combination of the statements is

A

P-TRUE; Q-TRUE; R-TRUE

B

P-FALSE; Q-FALSE; R-TRUE

C

P-TRUE; Q-TRUE; R-FALSE

D

P-FALSE; Q-FALSE; R-FALSE


(a) is the correct answer.

Ques 50 GATE 2019 SET-1


Consider two functions: x = ψ ln φ and y = φ ln ψ. Which one of the following is the correct expression for ∂ψ/∂x?

A

(x ln ψ) / (ln φ ln ψ - 1)

B

(x ln φ) / (ln φ ln ψ - 1)

C

ln φ / (ln φ ln ψ - 1)

D

ln ψ / (ln φ ln ψ - 1)


(d) is the correct answer.

Ques 51 GATE 2019 SET-1


The cross-section of a built-up wooden beam as shown in the figure (not drawn to scale) is subjected to a vertical shear force of 8 kN. The beam is symmetrical about the neutral axis (N.A.) shown, and the moment of inertia about N.A. is 1.5 × 109 mm4. Considering that the nails at the location P are spaced longitudinally (along the length of the beam) at 60 mm, each of the nails at P will be subjected to the shear force of

A

60 N

B

120 N

C

240 N

D

480 N


(c) is the correct answer.

Ques 52 GATE 2019 SET-1


The rigid-jointed plane frame QRS shown in the figure is subjected to a load P at the joint R. Let the axial deformations in the frame be neglected. If the support S undergoes a settlement of Δ = P L3 / βEI, the vertical reaction at the support S will become zero when β is equal to

A

0.1

B

3.0

C

7.5

D

48.0


(c) is the correct answer.

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