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GATE 2023 || Strength of Materials || Quiz 12

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Question 1

A prismatic member subjected to external loading was found to increase in length by 4mm over a length of 1m and consequently its diameter was found to change by 0.002mm. If the initial diameter of the member was 5mm, then calculate the Poisson’s ratio of the material.

Question 2

Find the total extension in the stepped bar with an axial tensile load of 50 kN and having varying length of 2m, 3m, 5m and area of 200mm2, 250mm2 and 300 mm2 as shown in given figure. E= 2×10N/ mm2 .

Question 3

The ratio of elongation of a conical and rectangular bar of same length under its own weight is __________.

Question 4

A slender bar of 100 mm2 cross-section is subjected to loading as shown in the figure. If the modulus of elasticity is taken as 200 × 109 Pa, then the elongation produced in the bar will be ____ mm.
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Question 5

A prismatic bar of length 4m is subjected to an uniaxial pull of 100kN then the magnitude of product of change in diameter and its diameter will be (in μm) take E = 200 GPa, μ = 0.3

Question 6

A steel bar of 50 mm × 50 mm square cross-section is subjected to an axial compressive load of 200 kN. If the length of the bar is 2 m and E = 160 GPa, then the magnitude of deformation of the bar will be?
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