A material has a Poisson's ratio of 0.3. If it is stretched in one direction, wh

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Question: A material has a Poisson\'s ratio of 0.3. If it is stretched in one direction, what is the expected lateral contraction ratio? (2019)

Options:

Correct Answer: 0.3

Exam Year: 2019

Solution:

Poisson\'s ratio (ν) = - (lateral strain) / (longitudinal strain), thus the lateral contraction ratio is 0.3.

A material has a Poisson's ratio of 0.3. If it is stretched in one direction, what is the expected lateral contraction ratio? (2019)

A material has a Poisson's ratio of 0.3. If it is stretched in one direction, what is the expected lateral contraction ratio? (2019)

Step 1: Understand what Poisson's ratio (ν) means. It is a measure of how much a material will contract in one direction when it is stretched in another direction.
Step 2: Know the formula for Poisson's ratio: ν = - (lateral strain) / (longitudinal strain).
Step 3: Identify the given Poisson's ratio, which is 0.3 in this case.
Step 4: Recognize that the lateral strain is the contraction that occurs in the direction perpendicular to the stretching, while the longitudinal strain is the stretching in the direction of the applied force.
Step 5: Since the Poisson's ratio is 0.3, this means that for every unit of longitudinal strain, the lateral strain will be 0.3 times that amount but in the opposite direction (hence the negative sign).
Step 6: Conclude that the expected lateral contraction ratio is simply the Poisson's ratio value, which is 0.3.

Poisson's Ratio – A measure of the ratio of lateral strain to longitudinal strain in a material when it is deformed.
Lateral and Longitudinal Strain – Lateral strain refers to the deformation in the direction perpendicular to the applied force, while longitudinal strain refers to the deformation in the direction of the applied force.