GATE XE topic:engineering PYQs & Answers — Page 98

Questions 971–980 of 1772. Imported answers require independent review unless marked reviewed.

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

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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

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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

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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

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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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A rigid circular disc of radius 0.2 m and mass 10 kg rolls without slip on the ground at A. The coefficient of static friction

between ground and disc is 0.7. A torque

of 9 Nm acts on the disc as shown. Given acceleration due to gravity

. The friction force (in N) acting on the disc (in integer) is

Diagram for Engineering Sciences question 16

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A prismatic solid circular rod of diameter

is bent to introduce an offset

as shown. The rod is further subjected to an axial load

. If the maximum longitudinal stress at a section A-B in the rod (with offset) is

times the longitudinal stress in the straight rod, the value of

(in integer) would be

Diagram for Engineering Sciences question 17

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A naturally curved steel beam AB having Young’s modulus 208 GPa, area moment of inertia

and radius

is subjected to a vertical load

at B. The end A at

is rigidly fixed. The bending strain energy of the beam (in Nm, rounded off to two decimal places) is

Diagram for Engineering Sciences question 18

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GATE XE topic:engineering PYQs

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18