Civil Engineering Gate Yearwise 

Civil Engineering GATE 2022 Set-2 Questions with Answer

Ques 53 Solid Mechanics

For a linear elastic and isotropic material, the correct relationship among Young's modulus of elasticity (E), Poisson's ratio (v), and shear modulus (G) is

A

G=E/2(1+v)

B

G=E/(1+2v)

C

E=G/2(1+v)

D

E=G/(1+2v)



Ques 54 Solid Mechanics

Consider two linearly elastic rods HI and IJ, each of length b, as shown in the figure. The rods are co-linear, and confined between two fixed supports at H and J. Both the rods are initially stress free. The coefficient of linear thermal expansion is a for both the rods. The temperature of the rod IJ is raised by ΔT, whereas the temperature of rod HI remains unchanged. An external horizontal force P is now applied at node I. It is given that α=10-6°C-1, ΔT=50°C, b=2m, AE=106 N. The axial rigidities of the rods HI and IJ are 2AE and AE, respectively.

To make the axial force in rod HI equal to zero, the value of the external force P (in N) is (round off to the nearest integer)


50 is the correct answer.


Ques 55 Structural Engineering

Read the following statements relating to flexure of reinforced concrete beams:
I. In over-reinforced sections, the failure strain in concrete reaches earlier than the yield strain in steel.
II. In under-reinforced sections, steel reaches yielding at a load lower than the load at which the concrete reaches failure strain.
III. Over-reinforced beams are recommended in practice as compared to the under-reinforced beams.
IV. In balanced sections, the concrete reaches failure strain earlier than the yield strain in tensile steel.
Each of the above statements is either True or False.
Which one of the following combinations is correct?

A

I (True), II (True), III (False), IV (False)

B

I (True), II (True), III (False), IV (True)

C

I (False), II (False), III (True), IV (False)

D

I (False), II (True), III (True), IV (False)



Ques 56 Structural Engineering

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are

A

2 and 1

B

2 and 0

C

1 and 2

D

2 and 2



Ques 57 Structural Engineering

For the square steel beam cross-section shown in the figure, the shape factor about z-z axis is S and the plastic moment capacity is Mp. Consider yield stress fy=250 MPa and a=100 mm.

The values of S and Mp (rounded-off to one decimal place) are

A

S=2.0, Mp=58.9 kN-m

B

S=2.0, Mp=100.2 kN-m

C

S=1.5, Mp=58.9 kN-m

D

S=1.5, Mp=100.2 kN-m



Ques 58 Structural Engineering

A post-tensioned concrete member of span 15 m and cross-section of 450 mm × 450 mm is prestressed with three steel tendons, each of cross-sectional area 200 mm2. The tendons are tensioned one after another to a stress of 1500 MPa. All the tendons are straight and located at 125 mm from the bottom of the member. Assume the prestress to be the same in all tendons and the modular ratio to be 6. The average loss of prestress, due to elastic deformation of concrete, considering all three tendons is ________ MPa.

A

14.16

B

7.08

C

28.32

D

42.48



Ques 59 Structural Engineering

Which of the following statement(s) is/are correct?

A

If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the deflection at any point is equal to the load applied at that point.

B

If a linearly elastic structure is subjected to a set of loads, the partial derivative of the total strain energy with respect to the load at any point is equal to the deflection at that point.

C

If a structure is acted upon by two force system Pa and Pb, in equilibrium separately, the external virtual work done by a system of forces Pb during the deformations caused by another system of forces Pa is equal to the external virtual work done by the Pa system during the deformation caused by the Pb system.

D

The shear force in a conjugate beam loaded by the M/EI diagram of the real beam is equal to the corresponding deflection of the real beam.



Ques 60 Structural Engineering

The linearly elastic planar structure shown in the figure is acted upon by two vertical concentrated forces. The horizontal beams UV and WX are connected with the help of the vertical linear spring with spring constant k=20 kN/m. The fixed supports are provided at U and X. It is given that flexural rigidity EI=105 kN-m2, P=100 kN and a=5 m. Force Q is applied at the center of beam WX such that the force in the spring VW becomes zero.

The magnitude of force Q (in kN) is (round off to the nearest integer)


25 is the correct answer.


Ques 61 Transportation Engineering

For a traffic stream, v is the space mean speed, k is the density, q is the flow, Vf is the free flow speed, and kj is the jam density. Assume that the speed decreases linearly with density.
Which of the following relation(s) is/are correct?

A

q=kjk-(kj/vf)k2

B

q=vfk-(vf/kj)k2

C

q=vfv-(vf/kj)v2

D

q=kjv-(kj/vf)v2



Ques 62 Transportation Engineering

The base length of the runway at the mean sea level (MSL) is 1500 m. If the runway is located at an altitude of 300 m above the MSL, the actual length (in m) of the runway to be provided is ________ (round off to the nearest integer).


1605 is the correct answer.


Ques 63 Transportation Engineering

A single-lane highway has a traffic density of 40 vehicles/km. If the time-mean speed and space-mean speed are 40 kmph and 30 kmph, respectively, the average headway (in seconds) between the vehicles is

A

3.00

B

2.25

C

8.33×10-4

D

6.25×10-4



Ques 64 Transportation Engineering

A parabolic vertical crest curve connects two road segments with grades +1.0% and-2.0%. If a 200 m stopping sight distance is needed for a driver at a height of 1.2 m to avoid an obstacle of height 0.15 m, then the minimum curve length should be _______ m. (round off to the nearest integer)


304 is the correct answer.


Ques 65 Transportation Engineering

Assuming that traffic on a highway obeys the Greenshields model, the speed of a shockwave between two traffic streams (P) and (Q) as shown in the schematic is ____________ kmph. (in integer)


40 is the correct answer.


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