What is the Poisson's ratio for a material that experiences a lateral strain of

Practice Questions

Q1
What is the Poisson's ratio for a material that experiences a lateral strain of 0.005 when subjected to a longitudinal strain of 0.01? (2021)
  1. 0.5
  2. 1
  3. 0.25
  4. 0.75

Questions & Step-by-Step Solutions

What is the Poisson's ratio for a material that experiences a lateral strain of 0.005 when subjected to a longitudinal strain of 0.01? (2021)
  • Step 1: Understand the terms. Lateral strain is how much a material stretches sideways when it is pulled, and longitudinal strain is how much it stretches in the direction it is pulled.
  • Step 2: Identify the values given in the question. Lateral strain = 0.005 and longitudinal strain = 0.01.
  • Step 3: Write the formula for Poisson's ratio (ν). The formula is ν = - (lateral strain) / (longitudinal strain).
  • Step 4: Substitute the values into the formula. This gives us ν = - (0.005) / (0.01).
  • Step 5: Calculate the result. Dividing -0.005 by 0.01 gives us -0.5.
  • Step 6: Since Poisson's ratio is usually expressed as a positive value, we take the absolute value, which is 0.5.
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