GATE ME Mechanics of Materials PYQs & Answers

Questions 1–10 of 90. 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 cantilever beam of length

is subjected to a concentrated load

and a moment

as shown in the figure below. Neglecting the mass of the beam, which one of the following options is the correct representation of shear force diagram (SFD) and bending moment diagram (BMD)?

Diagram for Mechanical Engineering question 40

Your answerChoose one option.

Diagram for Mechanical Engineering question 40 (figure 2)

Diagram for Mechanical Engineering question 40 (figure 3)

Diagram for Mechanical Engineering question 40 (figure 4)

Diagram for Mechanical Engineering question 40 (figure 5)

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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 cylindrical pressure vessel made of steel has diameter of 3 m and wall thickness of 15 mm. For steel, Young’s modulus and Poisson ratio are 210 GPa and 0.3, respectively. The cylinder is designed such that the allowable normal strain at the outer cylindrical surface is equal to 0.0034. The permissible pressure in the tank is ______ kPa (rounded off to 1 decimal place).

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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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A simply supported beam of length 1 m is subjected to a uniformly distributed bending moment of 1 N m per m throughout the length as shown in the figure given below. The bending moment at the mid-point of the beam is ______ N m (rounded off to the nearest integer).

Diagram for Mechanical Engineering question 57

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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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GATE ME Mechanics of Materials PYQs

How to practice Mechanics of Materials

Question 34

Question 40

Question 49

Question 51

Question 52

Question 22

Question 28

Question 56

Question 57

Question 58