GATE ME concept:poissons-ratio PYQs & Answers

Questions 1–5 of 5. Imported answers require independent review unless marked reviewed.

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 thin-walled cylindrical pressure vessel has mean wall thickness of

and nominal radius of

. The Poisson’s ratio of the wall material is 1/3. When it was subjected to some internal pressure, its nominal perimeter in the cylindrical portion increased by 0.1% and the corresponding wall thickness became

. The corresponding change in the wall thickness of the cylindrical portion, i.e.

, is ________ % (round off to 3 decimal places).

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A thin-walled cylinder of radius

and thickness

is open at both ends, and fits snugly between two rigid walls under ambient conditions, as shown in the figure.

Diagram for Mechanical Engineering question 30

The material of the cylinder has Young’s modulus

, Poisson’s ratio

, and coefficient of thermal expansion

. What is the minimum rise in temperature

of the cylinder (assume uniform cylinder temperature with no buckling of the cylinder) required to prevent gas leakage if the cylinder has to store the gas at an internal pressure of

above the atmosphere?

Your answerChoose one option.

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Consider a linear elastic rectangular thin sheet of metal, subjected to uniform uniaxial tensile stress of 100 MPa along the length direction. Assume plane stress conditions in the plane normal to the thickness. The Young’s modulus

MPa and Poisson’s ratio

are given. The principal strains in the plane of the sheet are

Your answerChoose one option.

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The Poisson’s ratio for a perfectly incompressible linear elastic material is

Your answerChoose one option.

0.5

infinity

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GATE ME concept:poissons-ratio PYQs

How to practice concept:poissons-ratio

Question 56

Question 52

Question 30

Question 6

Question 13