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If the value of Poisson's ratio is zero, then it means that
- a)The material is rigid.
- b)The material is perfectly plastic.
- c)There is no longitudinal strain in the material
- d)The longitudinal strain in the material is infinite
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the value of Poisson's ratio is zero, then it means thata)The m...
poisson's ratio is defined as lateral strain to longitudinal strain for value to be 0 lateral strain equals zero which means No change in diameter on application of axial load which is when the body doesn't deform i.e rigid body
This question is part of UPSC exam. View all Mechanical Engineering courses
Most Upvoted Answer
If the value of Poisson's ratio is zero, then it means thata)The m...
Explanation:
Poisson's ratio is a measure of the ratio of lateral strain to longitudinal strain in a material. When the value of Poisson's ratio is zero, it means that there is no lateral strain in the material when it is subjected to an axial load. In other words, the material does not change its dimensions in a transverse direction when it is stretched or compressed in the longitudinal direction.
If the value of Poisson's ratio is zero, it implies that the material is rigid. This is because the material does not deform in the transverse direction when subjected to an axial load. Therefore, the answer is option 'A'.
Some of the key points to note about Poisson's ratio are:
- Poisson's ratio is a dimensionless quantity.
- It is defined as the negative of the ratio of lateral strain to longitudinal strain.
- It is denoted by the symbol 'ν' (nu).
- The value of Poisson's ratio ranges from -1 to 0.5 for most materials.
- Materials with a Poisson's ratio of 0 are called incompressible materials.
- Materials with a negative Poisson's ratio (also known as auxetic materials) exhibit unusual mechanical properties such as negative thermal expansion and increased toughness.
Poisson's ratio is a measure of the ratio of lateral strain to longitudinal strain in a material. When the value of Poisson's ratio is zero, it means that there is no lateral strain in the material when it is subjected to an axial load. In other words, the material does not change its dimensions in a transverse direction when it is stretched or compressed in the longitudinal direction.
If the value of Poisson's ratio is zero, it implies that the material is rigid. This is because the material does not deform in the transverse direction when subjected to an axial load. Therefore, the answer is option 'A'.
Some of the key points to note about Poisson's ratio are:
- Poisson's ratio is a dimensionless quantity.
- It is defined as the negative of the ratio of lateral strain to longitudinal strain.
- It is denoted by the symbol 'ν' (nu).
- The value of Poisson's ratio ranges from -1 to 0.5 for most materials.
- Materials with a Poisson's ratio of 0 are called incompressible materials.
- Materials with a negative Poisson's ratio (also known as auxetic materials) exhibit unusual mechanical properties such as negative thermal expansion and increased toughness.
Community Answer
If the value of Poisson's ratio is zero, then it means thata)The m...
Here's the detailed explanation:
See, Poisson's ratio is 0...that means lateral strain will be 0...but we cannot comment on the nature of longitudinal strain... - As per option C... the longitudinal strain won't be 0 because then the denominator of Poisson's ratio will become undefined as per option D.
- Longitudinal strain cant be infinity because every material have a point of failure...we cant stretch something to an infinite length... as per option B...as we know if lateral strain is surely zero, there is no question of plasticity...
- As per option A...YES...it can be called rigid with 0 Poisson's ratio... This is one of the previous year's questions asked in SOM...
Hence, the correct answer is Option A.
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If the value of Poisson's ratio is zero, then it means thata)The material is rigid.b)The material is perfectly plastic.c)There is no longitudinal strain in the materiald)The longitudinal strain in the material is infiniteCorrect answer is option 'A'. Can you explain this answer?
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