GATE XE year:2021 PYQs & Answers — Page 8

Questions 71–80 of 175. Imported answers require independent review unless marked reviewed.

With respect to the plane of maximum shear stress, which of the following statements is INCORRECT?

Your answerChoose one option.

The normal stress on the plane is zero.

The maximum shear stress is equal to the largest of the one half the difference of principal stresses

The plane of maximum shear stress occurs at 45° to the principal planes.

The magnitude of the maximum shear stress is equal to the largest of the radius of the Mohr’s circles.

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A simply supported beam of length L is loaded by two symmetrically applied point loads P at L/3 from each support. Both the loads are then shifted to new points which are at a distance L/4 from each support. The bending moments at the mid-section of the beam in both the cases are same. The magnitude of P1 in terms of P is

Diagram for Engineering Sciences question 7

Your answerChoose one option.

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A beam having rectangular cross section is subjected to transverse loading. The ratio of maximum shear stress developed in the beam to the average shear stress is

Your answerChoose one option.

1.50

1.25

1.33

1.66

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During an earthquake, a structure vibrates and the vibration can be assumed to be in simple harmonic motion at 5 Hz. At a measurement point, the RMS value of acceleration is 10 m/s². The approximate amplitude of motion (in mm) at this point (rounded off to two decimal places) is

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For the state of plane stress shown, the components of normal and shear stresses are given in terms of stress

and unknown constants

and

. If the normal and shear components of stress on a 45° plane are

and zero, the values of

and

would be:

Diagram for Engineering Sciences question 10

Your answerChoose one option.

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For a state of plane strain, the normal strains are given by

and the maximum shear strain is

. The value of shear strain

for this strain state is

Your answerChoose one option.

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A thin cylinder (closed at its ends) of radius r and thickness t (r ≫ t) is subjected to internal pressure p. The maximum shear stress in the wall of the cylinder is

Your answerChoose one option.

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The truss shown is subjected to a force P. All members of the truss have the same length L. The reaction at A and force in member AB are

Diagram for Engineering Sciences question 13

Your answerChoose one option.

and

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The figure shows a structure with supports. The correct free body diagram when the supports are removed is

Diagram for Engineering Sciences question 14

Your answerChoose one option.

Diagram for Engineering Sciences question 14 (figure 2)

Diagram for Engineering Sciences question 14 (figure 3)

Diagram for Engineering Sciences question 14 (figure 4)

Diagram for Engineering Sciences question 14 (figure 5)

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A hammer of mass 1 kg is used to break an almond shell. The velocity time graph of the hammer during the impact duration is shown in the figure. The shape of force time graph is also given, which can be approximated as a triangle. A force of 300 N is required for breaking the shell, while a force of 200 N will not be able to break it, but just introduce a crack. Which one of the following events will happen?

Diagram for Engineering Sciences question 15

Your answerChoose one option.

The almond shell will crack but not break

The almond shell will not crack.

The almond shell will break

Cannot be determined from the given data

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GATE XE year:2021 PYQs

Question 6

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Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15