GATE ME concept:stress PYQs & Answers — Page 5

Questions 41–49 of 49. Imported answers require independent review unless marked reviewed.

The state of stress at a point, for a body in plane stress, is shown in the figure below. If the minimum principal stress is 10 kPa, then the normal stress

(in kPa) is

Diagram for Mechanical Engineering question 29

Your answerChoose one option.

9.45

18.88

37.78

75.50

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A carpenter glues a pair of cylindrical wooden logs by bonding their end faces at an angle of

as shown in the figure.

Diagram for Mechanical Engineering question 31

The glue used at the interface fails if Criterion 1: the maximum normal stress exceeds 2.5 MPa. Criterion 2: the maximum shear stress exceeds 1.5 MPa. Assume that the interface fails before the logs fail. When a uniform tensile stress of 4 MPa is applied, the interface

Your answerChoose one option.

fails only because of criterion 1

fails only because of criterion 2

fails because of both criteria 1 and 2

does not fail

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A thin-walled cylindrical can with rigid end caps has a mean radius R = 100 mm and a wall thickness of t = 5 mm. The can is pressurized and an additional tensile stress of 50 MPa is imposed along the axial direction as shown in the figure. Assume that the state of stress in the wall is uniform along its length. If the magnitudes of axial and circumferential components of stress in the can are equal, the pressure (in MPa) inside the can is ________ (correct to two decimal places).

Diagram for Mechanical Engineering question 37

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A simply supported beam of width 100 mm, height 200 mm and length 4 m is carrying a uniformly distributed load of intensity 10 kN/m. The maximum bending stress (in MPa) in the beam is __________ (correct to one decimal place).

Diagram for Mechanical Engineering question 39

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The true stress (σ) - true strain (ε) diagram of a strain hardening material is shown in figure. First, there is loading up to point A, i.e., up to stress of 500 MPa and strain of 0.5. Then from point A, there is unloading up to point B, i.e., to stress of 100 MPa. Given that the Young’s modulus E = 200 GPa, the natural strain at point B (ε

) is ________ (correct to three decimal places).

Diagram for Mechanical Engineering question 48

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The state of stress at a point is

and

. The maximum normal stress (in MPa) at that point is __________

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A steel bar is held by two fixed supports as shown in the figure

Diagram for Mechanical Engineering question 10

and is subjected to an increase of temperature

. If the coefficient of thermal expansion and Young’s modulus of elasticity of steel are

and

, respectively, the magnitude of thermal stress (in MPa) induced in the bar is __________

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A motor driving a solid circular steel shaft transmits 40 kW of power at 500 rpm. If the diameter of the shaft is 40 mm, the maximum shear stress in the shaft is ______ MPa.

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An initially stress-free massless elastic beam of length

and circular cross-section with diameter

(

) is held fixed between two walls as shown. The beam material has Young’s modulus

and coefficient of thermal expansion

If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

Your answerChoose one option.

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GATE ME concept:stress PYQs

Question 29

Question 31

Question 37

Question 39

Question 48

Question 7

Question 10

Question 15

Question 39