What is the Poisson's ratio for a material if a longitudinal strain of 0.02 resu
Practice Questions
Q1
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)
0.4
0.5
0.6
0.7
Questions & Step-by-Step Solutions
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.
