GATE PI Applied Mechanics PYQs & Answers

Questions 1–10 of 38. Imported answers require independent review unless marked reviewed.

The ratio of hydrostatic stress to volumetric strain is known as ______.

Your answerChoose one option.

Bulk modulus

Compressibility

Poisson’s ratio

Young’s modulus

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A cylindrical metal component of 10 mm diameter is subjected to uniform uniaxial tension during operation. It was observed that a force of 14 kN produces a uniform reduction of

mm in diameter. Assume that material behaviour is homogeneous, isotropic, and linear elastic.

If its Young’s modulus is 150 GPa, the Poisson’s ratio of the material is _____ (rounded off to two decimal places).

Note: Assume

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A simply supported beam AB of span L is shown in the figure. A moment M is applied at point C. The magnitude of the reaction force at point A is

Diagram for Production and Industrial Engineering question 25

Your answerChoose one option.

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The relationship between the hoop stress

and the longitudinal stress

of a closed cylindrical thin-walled pressure vessel is

Your answerChoose one option.

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Three principal stresses at a point in a material are 300 MPa, 250 MPa and 100 MPa. If the yielding just starts at that point, the yield strength (in MPa) of the material as per Tresca criterion is________. (Answer in integer)

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A force of 1000 N is acting at point A on a bracket fixed at point B as shown in the figure. The magnitude of the moment of the force about B (in N·m) is________. (Rounded off to one decimal place)

Diagram for Production and Industrial Engineering question 56

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A steel plate is fastened to a channel using three identical bolts as shown in the figure. The bolts are made of carbon steel of permissible yield strength in shear as 400 N/mm

. The plate is subjected to a force of 12 kN. Neglect the weight of the plate. The magnitude of the resultant shear force (in N) on bolt 2 is ________. (Answer in integer)

Diagram for Production and Industrial Engineering question 57

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A uniform cantilever beam of length

and flexural rigidity

is loaded by a force

as shown in the figure. Assuming that the Euler-Bernoulli beam theory is applicable here, the magnitude of the static deflection at the free end of the beam is

Diagram for Production and Industrial Engineering question 13

Your answerChoose one option.

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In the truss shown in the figure, member AC is an inextensible string, other members are rigid, and ABCD is a square with each side of length

. The maximum value of force

(in kN) for which the truss will remain in static equilibrium is ________ . (Rounded off to 2 decimal places)

Diagram for Production and Industrial Engineering question 33

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A metallic cylindrical pressure vessel, used to store compressed air in a plant, has 1 m mean radius and 4 mm wall thickness. The maximum allowable normal and shear stresses in the cylindrical portion of the vessel are 100 MPa and 40 MPa, respectively. Considering only these data in the design, the maximum allowable internal gauge pressure (in MPa) of the compressed air is __________. (Rounded off to 2 decimal places)

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GATE PI Applied Mechanics PYQs

How to practice Applied Mechanics

Question 21

Question 55

Question 25

Question 26

Question 29

Question 56

Question 57

Question 13

Question 33

Question 50