GATE XE 2022 Paper 1 — page 27

Questions 79–81 of 175. Imported answers require review unless explicitly marked reviewed.

A rectangular plate of uniform thickness having initial length

and width

is placed between two rigid immovable walls. The temperature of the plate is increased by

. The plate is free to expand along the

and

directions. The mid-surface of the plate remains in the

-plane. The Poisson’s ratio is

and the coefficient of thermal expansion is

. Assuming that the plate is initially free of stresses, the change in length of the plate after the increase in temperature is given by

Diagram for Engineering Sciences question 79

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A mass

kg is attached to a spring as shown in the figure. The coefficient of friction between the mass and the inclined plane is 0.25. Assume that the acceleration due to gravity is 10 m/s

and that static and kinetic friction coefficients are the same. Equilibrium of the mass is impossible if the spring force is

Diagram for Engineering Sciences question 80

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30 N

45 N

60 N

75 N

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The frame shown in the figure is subjected to a uniformly distributed load of 1000 N/m over a distance of 0.6 m. Neglecting the weight of the frame, the maximum shear force (in N) in the region between the supports

and

of the frame is

Diagram for Engineering Sciences question 81

______.

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2022 · Paper 1

Question 79

Question 80

Question 81