What is the Poisson's ratio for a material if a longitudinal strain of 0.02 resu

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Question: What is the Poisson\'s ratio for a material if a longitudinal strain of 0.02 results in a lateral strain of 0.008? (2022)

Options:

Correct Answer: 0.4

Exam Year: 2022

Solution:

Poisson\'s ratio (ν) = -lateral strain / longitudinal strain = -0.008 / 0.02 = 0.4.

What is the Poisson's ratio for a material if a longitudinal strain of 0.02 results in a lateral strain of 0.008? (2022)

What is the Poisson's ratio for a material if a longitudinal strain of 0.02 results in a lateral strain of 0.008? (2022)

Step 1: Understand the terms. Longitudinal strain is how much a material stretches or compresses in the direction of the force applied. Lateral strain is how much it stretches or compresses in the direction perpendicular to the force.
Step 2: Identify the values given in the question. Longitudinal strain = 0.02 and lateral strain = 0.008.
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 = - (0.008) / (0.02).
Step 5: Calculate the result. Divide -0.008 by 0.02 to get -0.4.
Step 6: Since Poisson's ratio is usually expressed as a positive value, we take the absolute value, which is 0.4.

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