What is the Poisson's ratio for a material if a longitudinal strain of 0.005 results in a lateral strain of 0.002? (2019)

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Q: What is the Poisson's ratio for a material if a longitudinal strain of 0.005 results in a lateral strain of 0.002? (2019)

Solution: Poisson's ratio (ν) = Lateral strain / Longitudinal strain = 0.002 / 0.005 = 0.4.

Steps: 6

Step 1: Understand the terms. Longitudinal strain is how much a material stretches or compresses in length, while lateral strain is how much it changes in width or diameter.
Step 2: Identify the values given in the question. Longitudinal strain = 0.005 and lateral strain = 0.002.
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. So, ν = 0.002 / 0.005.
Step 5: Perform the division. Calculate 0.002 divided by 0.005, which equals 0.4.
Step 6: State the final answer. The Poisson's ratio for the material is 0.4.