GATE ME concept:stress PYQs & Answers

Questions 1–10 of 49. Imported answers require independent review unless marked reviewed.

A steel plate having yield strength of 550 MPa, is subjected to biaxial state of stress as

and

. Using distortion energy theory and considering the factor of safety as 2, the permissible value of

that can be applied to the plate is ______ MPa (rounded off to 1 decimal place).

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A simply supported beam is subjected to an external point load

as shown in the figure below. The beam has a rectangular cross-section of 20 mm × 45 mm. A is a pin support and B is a roller support. The shear stress developed at point C, lying on the neutral axis of the beam, is 3 MPa. Neglecting the mass of the beam, the magnitude of the applied load is ______ kN (rounded off to 1 decimal place).

Diagram for Mechanical Engineering question 49

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A welded square plate of 1 m × 1 m is subjected to biaxial stress of magnitude 6.5 MPa and 25 MPa, as shown in the figure below. The ratio of the normal stress acting in the perpendicular direction of the weld to the shear stress of the weld is ______ (rounded off to 2 decimal places).

Diagram for Mechanical Engineering question 52

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The yield stress of a metal in uniaxial tension is 200 MPa. According to von Mises yield criterion, the yield stress (in MPa) of the metal in pure shear is closest to

Your answerChoose one option.

115.5

100.0

66.7

141.4

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A metallic square plate is subjected to a uniform hydrostatic pressure (P). Choose the correct Mohr’s circle representing the state of stress at any point in the plate from the options given below.

For the Mohr’s circle, normal stress is positive towards right and shear stress is positive in the upward direction.

Your answerChoose one option.

Diagram for Mechanical Engineering question 28

Diagram for Mechanical Engineering question 28 (figure 2)

Diagram for Mechanical Engineering question 28 (figure 3)

Diagram for Mechanical Engineering question 28 (figure 4)

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The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (

) is __________ (rounded off to 2 decimal places).

Use the Young’s Modulus E = 200 GPa and Poisson’s ratio

= 0.27.

Diagram for Mechanical Engineering question 56

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An isotropic brittle material is tested in the universal testing machine. The stress-strain diagram for the material shows a bi-linear elastic behavior as shown in the figure given below.

Diagram for Mechanical Engineering question 58

The strain energy density is ______ MJ m

(rounded off to 2 decimal places).

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A solid massless cylindrical member of 50 mm diameter is rigidly attached at one end, and is subjected to an axial force

kN and a torque

N.m at the other end as shown. Assume that the axis of the cylinder is normal to the support. Considering distortion energy theory with allowable yield stress as 300 MPa, the factor of safety in the design is ____ (rounded off to 1 decimal place).

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The figure shows a thin cylindrical pressure vessel constructed by welding plates together along a line that makes an angle

with the horizontal. The closed vessel has a wall thickness of 10 mm and diameter

of 2 m. When subjected to an internal pressure of 200 kPa, the magnitude of the normal stress acting on the weld is ________ MPa (rounded off to 1 decimal place).