Aerospace Engineering Gate 2026 Questions with Answer

Ques 53 GATE 2026


An earth satellite moves in an elliptical orbit with a perigee altitude of 300 km and an apogee altitude of 3000 km. Assume that the radius of the earth is 6378 km. The eccentricity of the orbit is __________ (rounded off to three decimal places).


(0.167) is the correct answer.

Ques 54 GATE 2026


The number of independent elastic constants that a fully anisotropic linear elastic material can have is ______.

A

36

B

21

C

10

D

2


(b) is the correct answer.

Ques 55 GATE 2026


A cantilever beam with an unsymmetric cross-section is subjected to a transverse shear force (P) at its free end. P acts at the shear center of the beam cross-section. Which one of the following statements is TRUE about the deformation of this beam?

A

The beam undergoes only torsion

B

The beam undergoes only bending

C

The beam undergoes both torsion and bending

D

The beam undergoes neither torsion nor bending


(b) is the correct answer.

Ques 56 GATE 2026


The state of stress at a point in a 2-D body, in the x-y Cartesian coordinate system, is represented in matrix form as [σ]. The transformation matrix [Q] rotates the coordinate system to a new x'-y' Cartesian coordinate system. Select the CORRECT option(s) that represent(s) the state of stress in the new coordinate system.

A

[Q] [σ] [Q]T

B

[Q] [σ] [Q]−1

C

([Q]−1)T [σ] [Q]T

D

[Q]−1 [σ] [Q]


(a,c) is the correct answer.

Ques 57 GATE 2026


The response x(t) of a freely vibrating single degree of freedom underdamped system is given below. In the equation, A and φ are constants. The damping ratio of the system is ________ (rounded off to 3 decimal places).
x(t) = A e−5t sin(10t + φ)


(0.447) is the correct answer.

Ques 58 GATE 2026


Consider a unit square body as shown in the figure below. The body is subjected to the deformation field u = –ay and v = ax, where ‘a’ is a constant. Due to the application of this deformation field, the body undergoes _______ in the x-y plane.

A

biaxial deformation

B

pure shear

C

pure bending

D

rigid body rotation


(d) is the correct answer.

Ques 59 GATE 2026


The deformation of an open-section bar subjected to pure torsion can be solved by choosing an appropriate Prandtl stress function. Which of the following statements is/are true about the Prandtl stress function?

A

It satisfies the equilibrium equation

B

It is zero on the lateral surfaces of the bar

C

It satisfies the compatibility equation

D

It does not satisfy the equilibrium equation


(a,b) is the correct answer.

Ques 60 GATE 2026


A thin-walled circular tube is made of a material whose magnitude of the ultimate strength, both in tension and compression, is 200 MPa. The mean radius of the tube is 0.2 m and the wall thickness is 0.004 m. Based on the maximum stress criteria, the maximum torque that the tube can sustain is ________ kN-m (round off to the nearest integer).


(201) is the correct answer.

Ques 61 GATE 2026


A system comprising a bar, spring and mass is shown in the figure below. The bar, having negligible mass, is made of a material having Young’s modulus E = 200 GPa, cross-sectional area A = 100 mm2, and length L = 100 mm. The spring stiffness k = 200 kN/mm and the mass M = 100 kg. The natural frequency of free vibration of the system is ________ rad/s (rounded off to the nearest integer).


(1000) is the correct answer.

Ques 62 GATE 2026


A stepped cantilever beam, made of a material having Young’s modulus E = 200 GPa, is shown in the figure below. The length and the moment of inertia of the beam from point A to B are L1 = 100 mm and I1 = 100 mm4, respectively. The length and the moment of inertia of the beam from point B to C are L2 = 100 mm and I2 = 700 mm4, respectively. A shear force P = 30 N is applied at point A of the beam. The magnitude of the deflection of the beam at point A is ________ mm (rounded off to 1 decimal place).


(15.7) is the correct answer.

Ques 63 GATE 2026


Which one of the following makes an ideal air-standard Stirling cycle?

A

Two reversible isobars, and two reversible adiabatics

B

Two reversible isotherms, and two reversible isobars

C

Two reversible isotherms, and two reversible isochores

D

Isentropic compression, constant volume heat addition, isentropic expansion, and constant volume heat rejection


(c) is the correct answer.

Ques 64 GATE 2026


Isobutane (C4H10) is burnt completely in pure oxygen as per the reaction given below. Given that the standard heats of formation (in kcal/mole) of isobutane, carbon dioxide, and water vapour are –31.489, –94.052, and –60.150, respectively, the heat of reaction is ________ kcal (rounded off to 2 decimal places).
C4H10 + 6.5 O2 → 4 CO2 + 5 H2O


(-663.769) is the correct answer.

Ques 65 GATE 2026


A furnace of 250 MW rating is used to melt and raise the temperature of aluminium from 25 °C to 900 °C. Aluminium has a solid-state specific heat, latent heat, and liquid-state specific heat of 0.9 kJ/kg-K, 390 kJ/kg, and 1.108 kJ/kg-K, respectively, and the furnace has 70% efficiency. The melting point of aluminium is 660 °C. The amount of aluminium that can be processed per hour is ________ kg (rounded off to 1 decimal place).


(827309.2) is the correct answer.

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