GATE AE format:nat PYQs & Answers — Page 15

Questions 141–150 of 266. Imported answers require independent review unless marked reviewed.

Topic practice 266 questionsPage 15 of 27

A rigid horizontal bar ABC, with roller support at A, is pinned to the columns BD and CE at points B and C, respectively as shown in figure. The other end of the column BD is fixed at D, whereas the column CE is pinned at E. A vertical load P is applied on the bar at a distance ‘a’ from point B. The two columns are made of steel with elastic modulus 200 GPa and have a cross section of 1.5 cm x 1.5 cm. The value of ‘a’ for which both columns buckle simultaneously, is __________ cm (round off to one decimal place).

Diagram for Aerospace Engineering question 49

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A two-cell wing box is shown in the figure. The cell walls are 1.5 mm thick and the shear modulus

GPa. If the structure is subjected to a torque of 12 kNm, then the wall AD will experience a shear stress of magnitude __________ MPa (round off to one decimal place).

Diagram for Aerospace Engineering question 50

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Two cantilever beams AB and DC are in contact with each other at their free ends through a roller as shown in the figure. Both beams have a square cross section of 50 mm x 50 mm, and the elastic modulus E = 70 GPa. If beam AB is subjected to a uniformly distributed load of 20 kN/m, then the compressive force experienced by the roller is __________ kN (round off to one decimal place).

Diagram for Aerospace Engineering question 51

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A 3 m x 1 m signboard is supported by a vertical hollow pole that is fixed to the ground. The pole has a square cross section with outer dimension 250 mm. The yield strength of the pole material is 240 MPa. To sustain a wind pressure of 7.5 kPa, the dimension d of the pole is __________ mm (round off to nearest integer).

(Neglect the effect of transverse shear and load due to wind pressure acting on the pole)

Diagram for Aerospace Engineering question 52

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An airplane weighing 5500 kg is in a steady level flight with a speed of 225 m/s. The pilot initiates a steady pull-up maneuver with a radius of curvature of 775 m. The location of center of gravity (CG), center of pressure on wing (CP) and point of action (T) of tail force are marked in the figure. Use g = 9.81 m/s². Neglect drag on the tail and assume that tail force is vertical. Assuming the engine thrust and drag to be equal, opposite and collinear, the tail force is______________ kN (round off to one decimal place).

Diagram for Aerospace Engineering question 53

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A jet aircraft weighing 10,000 kg has an elliptic wing with a span of 10 m and area 30 m

. The

for the aircraft is 0.025. The maximum speed of the aircraft in steady and level flight at sea level is 100 m/s. The density of air at sea level is 1.225 kg/m

, and take

m/s

. The maximum thrust developed by the engine at sea level is _____ N (round off to two decimal places).

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Consider a jet transport airplane with the following specifications:

Lift curve slope for wing-body

/deg Lift curve slope for tail

/deg Tail area

Wing area

Distance between mean aerodynamic centers of tail and wing-body

m Mean aerodynamic chord

m Downwash

Axial location of the wing-body mean aerodynamic center

Axial location of the center of gravity

All axial locations are with respect to the leading edge of the root chord and along the body x-axis. Ignore propulsive effects.

The pitching-moment-coefficient curve slope (

) is ______ /deg (round off to three decimal places).

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Burnout velocity of a space vehicle in circular orbit at an angle 5 degrees above the local horizon around earth is 13.5 km/s. Tangential velocity of the space vehicle in the orbit is ______ km/s (round off to two decimal places).

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Velocity of an airplane in the body fixed axes is given as [100 -10 20] m/s. The sideslip angle is ______ degrees (round off to two decimal places).

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The similarity solution for the diffusion equation,

, where similarity variable,

. If

, the ratio

______ (round off to one decimal place).

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GATE AE format:nat PYQs

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55

Question 20

Question 21

Question 22