A material has a Poisson's ratio of 0.3. What is the ratio of lateral strain to

Practice Questions

Q1
A material has a Poisson's ratio of 0.3. What is the ratio of lateral strain to longitudinal strain?
  1. 0.3
  2. 0.7
  3. 1.0
  4. 0.5

Questions & Step-by-Step Solutions

A material has a Poisson's ratio of 0.3. What is the ratio of lateral strain to longitudinal strain?
  • Step 1: Understand what Poisson's ratio is. It is a measure of how much a material deforms in the lateral direction when it is stretched or compressed in the longitudinal direction.
  • Step 2: Know the formula for Poisson's ratio (ν): ν = - (lateral strain) / (longitudinal strain).
  • Step 3: In this case, the Poisson's ratio is given as 0.3.
  • Step 4: This means that the negative ratio of lateral strain to longitudinal strain is 0.3.
  • Step 5: To find the ratio of lateral strain to longitudinal strain, we can write it as: lateral strain / longitudinal strain = -0.3.
  • Step 6: Therefore, the ratio of lateral strain to longitudinal strain is -0.3.
  • Poisson's Ratio – Poisson's ratio is a measure of the ratio of lateral strain to longitudinal strain in a material when it is deformed elastically.
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