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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).
Ques 54 GATE 2026
The number of independent elastic constants that a fully anisotropic linear elastic material can have is ______.
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?
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.
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)
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.

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?
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).
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).

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).

Ques 63 GATE 2026
Which one of the following makes an ideal air-standard Stirling cycle?
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
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).
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