GATE XE concept:shear PYQs & Answers

Questions 1–10 of 47. Imported answers require independent review unless marked reviewed.

A 2D stress state of pure shear is shown in the figure.

Diagram for Engineering Sciences question 80

Which one of the following options is equivalent to the given stress state?

Figures are not to scale.

Your answerChoose one option.

Diagram for Engineering Sciences question 80 (figure 2)

Diagram for Engineering Sciences question 80 (figure 3)

Diagram for Engineering Sciences question 80 (figure 4)

Diagram for Engineering Sciences question 80 (figure 5)

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The bending moment diagram for a simply supported beam is piecewise linear as shown in the figure. The bending moment

m is 5 Nm. The beam has a rectangular cross-section with an area of 1 m

The absolute value of the maximum shear stress on the cross-section at

m is _____ N/m

(in integer).

Diagram for Engineering Sciences question 83

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A solid axial bar made of steel with Young’s modulus, 200 GPa and Poisson’s ratio, 0.3, is subjected to uniaxial stress of 50 MPa.

The absolute value of the maximum shear strain on the outer surface of the bar is _____ × 10⁻⁴ (rounded off to two decimal places).

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The Mohr’s circle corresponding to an infinitesimal element is shown in the figure. The plane PQ in the infinitesimal element, at an angle of

from the x-axis, is in a state of pure shear.

Which one of the following values of

(in degrees) is CORRECT?

Diagram for Engineering Sciences question 68

Your answerChoose one option.

120

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The two-dimensional state of stress, in an infinitesimal element, is given by

and

Which one of the following options is the maximum shear stress (in MPa) in the element?

Your answerChoose one option.

500

400

800

300

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For a certain linear elastic isotropic material, the Young’s modulus is 140 GPa and the shear modulus is 50 GPa.

The Poisson’s ratio for the material is _____ (rounded off up to two decimal places).

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A closed thin cylindrical tank with a mean diameter d = 300 mm and thickness t = 2 mm, is subjected to a uniform internal gas pressure p. The allowable shear stress on the curved wall of the tank is 70 MPa.

Based on the Tresca criteria, which one of the following options for the maximum safe value of p (in MPa) is CORRECT?

Your answerChoose one option.

3.73

7.46

1.87

5.60

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A simply-supported beam of rectangular cross-section (width

and height

) is subjected to the loads as shown in the figure (i). The enlarged view of the beam cross-section is shown in figure (ii). The coordinate system is indicated in the figures. Assuming Euler-Bernoulli beam approximation, the shear stress

and normal stress

at the origin, O are respectively given by

Diagram for Engineering Sciences question 70

Your answerChoose one option.

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A solid circular shaft of diameter 100 mm is subjected to a torque

kNm. Which of the following statements about the state of stress in the shaft is/are correct?

Your answerSelect all correct options. You can choose more than one.

The maximum shear stress is 48 MPa

The maximum tensile stress is 48 MPa

The magnitude of maximum compressive stress is 48 MPa

The magnitude of shear stress is 48 MPa at all points in the shaft

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A 0-45-90 strain gauge rosette is mounted on an aircraft wing. The co-ordinate system is placed such that the strain gauges p, q and r are oriented at angles 0°, 45° and 90°, respectively, from the x axis (see figure). The strain readings associated to p, q and r are denoted by

, and

, respectively. While conducting a test the strain gauges show the following readings.

The developed engineering shear strain

associated to the strain gauge data is

Diagram for Engineering Sciences question 75

Your answerChoose one option.

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GATE XE concept:shear PYQs

How to practice concept:shear

Question 80

Question 83

Question 85

Question 68

Question 69

Question 73

Question 79

Question 70

Question 72

Question 75