GATE ME 2014 Set 1 — Question 17
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Strength of Materials → Stress, Strain & Elastic Constants → Elastic Constants & Poisson's Ratio
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Question
A metallic rod of length and diameter, when subjected to a tensile force of at the ends, experiences an increase in its length by and a reduction in its diameter by . The Poisson’s ratio of the rod material is _______
Correct answer
0.29 to 0.31
Solution
Given:
Poisson's ratio is defined as the ratio of lateral strain to longitudinal strain:The Poisson's ratio of the rod material is .
- Initial length,
- Initial diameter,
- Increase in length (longitudinal deformation),
- Reduction in diameter (lateral deformation),
Poisson's ratio is defined as the ratio of lateral strain to longitudinal strain:The Poisson's ratio of the rod material is .
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