Civil Engineering GATE 2017 Set-2 Questions with Answer

Ques 27 Civil

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Consider the following definite integral:

The value of the integral is

A

π³ / 24

B

π³ / 12

C

π³ / 48

D

π³ / 64

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Ques 28 Civil

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A

B

C

D

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Ques 29 Civil

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Consider the following second-order differential equation:
y^'' - 4y^' + 3y = 2t - 3t²
The particular solution of the differential equation is

A

-2 - 2t - t²

B

-2t - t²

C

2t - 3t²

D

-2 - 2t - 3t²

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Ques 30 Civil

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Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties.

The correct match of the items in Group I with the items in Group II is

A

P-1, Q-3, R-4, S-2

B

P-2, Q-3, R-1, S-4

C

P-4, Q-2, R-4, S-1

D

P-1, Q-4, R-2, S-3

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Ques 31 Civil

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Two prismatic beams having the same flexural rigidity of 1000 kN-m² are shown in the figures.

If the mid-span deflections of these beams are denoted by δ₁ and δ₂ (as indicated in the figures), the correct option is

A

δ₁ = δ₂

B

δ₁ < δ₂

C

δ₁ > δ₂

D

δ₁ >> δ₂

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Ques 32 Civil

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Consider the three prismatic beams with the clamped supports P, Q, and R as shown in the figures.

Given that the modulus of elasticity, E is 2.5 × 10⁴ MPa and the moment of inertia, I is 8 × 10⁸ mm⁴, the correct comparison of the magnitudes of the shear force S and the bending moment M developed at the supports is

A

S_P < S_Q < S_R; M_P = M_Q = M_R

B

S_P = S_Q > S_R; M_P = M_Q > M_R

C

S_P < S_Q > S_R; M_P = M_Q = M_R

D

S_P < S_Q < S_R; M_P < M_Q < M_R

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Ques 33 Civil

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Consider the following statements:
P. Walls of one brick thick are measured in square meters.
Q. Walls of one brick thick are measured in cubic meters.
R. No deduction in the brickwork quantity is made for openings in walls up to 0.1 m² area.
S. For the measurement of excavation from the borrow pit in a fairly uniform ground, deadmen are left at suitable intervals.
For the above statements, the correct option is

A

P-False; Q-True; R-False; S-True

B

P-False; Q-True; R-False; S-False

C

P-True; Q-False; R-True; S-False

D

P-True; Q-False; R-True; S-True

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Ques 34 Civil

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Two identical concrete piles having the plan dimensions 50 cm × 50 cm are driven into a homogeneous sandy layer as shown in the figures. Consider the bearing capacity factor N_q for φ = 30° as 24.

If Q_P1 and Q_P2 represent the ultimate point bearing resistances of the piles under dry and submerged conditions, respectively, which one of the following statements is correct?

A

Q_P1 > Q_P2 by about 100%

B

Q_P1 < Q_P2 by about 100%

C

Q_P1 > Q_P2 by about 5%

D

Q_P1 < Q_P2 by about 5%

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Ques 35 Civil

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Following are the statements related to the stress paths in a triaxial testing of soils:
P. If σ₁ = σ₃, the stress point lies at the origin of the p-q plot.
Q. If σ₁ = σ₃, the stress point lies on the p-axis of the p-q plot.
R. If σ₁ > σ₃, both the stress points p and q are positive.
For the above statements, the correct combination is

A

P-False; Q-True; R-True

B

P-True; Q-False; R-True

C

P-False; Q-True; R-False

D

P-True; Q-False; R-False

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Ques 36 Civil

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Two cars P and Q are moving in a racing track continuously for two hours. Assume that no other vehicles are using the track during this time. The expressions relating the distance travelled d (in km) and time t (in hour) for both the vehicles are given as
P: d = 60t
Q: d = 60t²
Within the first one hour, the maximum space headway would be

A

15 km at 30 minutes

B

15 km at 15 minutes

C

30 km at 30 minutes

D

30 km at 15 minutes

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Ques 37 Civil

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For the construction of a highway, a cut is to be made as shown in the figure.

The soil exhibits c' = 20 kPa, φ' = 18° and the undrained shear strength = 80 kPa. The unit weight of water is 9.81 kN/m³. The unit weights of the soil above and below the ground water table are 18 and 20 kN/m³, respectively. If the shear stress at Point A is 50 kPa, the factors of safety against the shear failure at this point, considering the undrained and drained conditions, respectively, would be

A

1.6 and 0.9

B

0.9 and 1.6

C

0.6 and 1.2

D

1.2 and 0.6

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Ques 38 Civil

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Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.

The length of the image of the tower A on the photograph is 1.5 cm and of the tower B is 2.0 cm. The distance of the top of the tower A (as shown by the arrowhead) is 4.0 cm and the distance of the top of the tower B is 6.0 cm, as measured from the principal point p of the photograph. If the height of the tower B is 80 m, the height (in meters) of the tower A is _______.

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Ques 39 Civil

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A hollow circular shaft has an outer diameter of 100 mm and inner diameter of 50 mm. If the allowable shear stress is 125 MPa, the maximum torque (in kN-m) that the shaft can resist is _______.

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