Aerospace Engineering Gate Yearwise 


Aerospace Engineering Gate 2022 Questions with Answer

Ques 53 GATE 2022

An isotropic linear elastic material point under plane strain condition in the x-y plane always obeys: _______.

A

out-of-plane normal strain, εzz = 0

B

out-of-plane normal stress, σzz = 0

C

out-of-plane shear stress, τxz = 0

D

out-of-plane shear strain, γxz = 0


(a,c,d) is the correct answer.

Ques 54 GATE 2022

The two-dimensional plane-stress state at a point is:
σxx = 110 MPa, σyy = 30 MPa; τxy = 40 MPa.
The normal stress, σn, on a plane inclined 45° as shown in the figure is _______ MPa. (round off to the nearest integer)


(109 to 111) is the correct answer.

Ques 55 GATE 2022

A horizontal load F is applied at point R on a two-member truss, as shown in the figure. Both the members are prismatic with cross-sectional area, A0, and made of the same material with Young's modulus E. The horizontal displacement of point R is:

A

0

B

Fl/EA0

C

√2Fl/EA0

D

2Fl/EA0


(c) is the correct answer.

Ques 56 GATE 2022

Given: The tip deflection and tip slope for a tip loaded cantilever of length L are: NL3/(3EI) and NL2/(2EI), respectively, where N is the tip force and EI is the flexural rigidity. A cantilever PQ of rectangular cross-section is subjected to transverse load, F, at its mid-point. Two cases are considered as shown in the figure. In Case I, the end Q is free and in Case II, Q is simply supported. The ratio of the magnitude of the maximum bending stress at P in Case I to that in Case II is _______. (rounded off to one decimal place)


(2.6 to 2.7) is the correct answer.

Ques 57 GATE 2022

A simply supported Aluminium column of length 1 m and rectangular cross-section w x t with t ≤ w, is subjected to axial compressive loading. Young's modulus is 70 GPa. Yield stress under uniaxial compression is 120 MPa. The value of t at which the failure load for yielding and buckling coincide is _______ mm.


(43 to 48) is the correct answer.

Ques 58 GATE 2022

A 0.5 m long thin-walled circular shaft of radius 2 cm is to be designed for an axial load of 7.4 kN and a torque of 148 Nm applied at its tip, as shown in the figure. The allowable stress under uniaxial tension is 100 MPa.
Using the maximum principal stress criterion, the minimum thickness, t, of the shaft so that it does not fail is _______ mm. (rounded off to the nearest integer)


(1 to 1) is the correct answer.

Ques 59 GATE 2022

A 10 kN axial load is applied eccentrically on a rod of square cross-section (1 cm x 1 cm) as shown in the figure.
The strains measured by the two strain gages attached to the top and bottom surfaces at a distance of 0.5 m from the tip are ε1 = 0.0016 and ε2 = 0.0004, respectively.
The eccentricity in loading, e is _______ mm.


(0.95 to 1.05) is the correct answer.

Ques 60 GATE 2022

For a thin-walled I section, the width of the two flanges as well as the web height are the same, i.e., 2b = 20 mm. Thickness is 0.6 mm. The second moment of area about a horizontal axis passing through the centroid is _______ mm4.


(2700 to 2960) is the correct answer.

Ques 61 GATE 2022

Consider a high Earth-orbiting satellite of angular momentum per unit mass ℏ and eccentricity e.
The mass of the Earth is M and G is the universal gravitational constant.
The distance between the satellite's center of mass and the Earth's center of mass is r, the true anomaly is θ, and the phase angle is zero.
Which of the following statements is/are true?

A

The trajectory equation is r = r(θ) = |ℏ|/(GM(1 + ecos θ))

B

The trajectory equation is r = r(θ) = |ℏ|2/(GM(1 + ecos θ))

C

ℏ is conserved

D

The sum of potential energy and kinetic energy of the satellite is conserved


(b,c,d) is the correct answer.

Ques 62 GATE 2022

The point of maximum entropy on a Fanno-curve in a Temperature-Entropy (T-s) diagram represents the

A

maximum flow Mach number

B

minimum flow Mach number

C

sonic Mach number

D

normal shock in the flow


(c) is the correct answer.

Ques 63 GATE 2022

Which of the following is NOT always true for a combustion process taking place in a closed system?

A

Total number of atoms is conserved

B

Total number of molecules is conserved

C

Total number of atoms of each element is conserved

D

Total mass is conserved


(b) is the correct answer.

Ques 64 GATE 2022

A damper with damping coefficient, c, is attached to a mass of 5 kg and a spring of stiffness 5 kN/m as shown in the figure. The system undergoes under-damped oscillations. If the ratio of the 3rd amplitude to the 4th amplitude of oscillations is 1.5, the value of c is Ns/m (rounded off to the nearest integer).


(19 to 21) is the correct answer.

Ques 65 GATE 2022

A uniform rigid prismatic bar of total mass m is suspended from a ceiling by two identical springs as shown in the figure.
Let ω1 and ω2 be the natural frequencies of mode I and mode II respectively (ω1 < ω2).
The value of ω2/ω1 is _______. (rounded off to one decimal place)


(1.7 to 1.8) is the correct answer.

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