If a material has a Poisson's ratio of 0.3, what does this imply about its lateral strain when subjected to axial strain?
Practice Questions
1 question
Q1
If a material has a Poisson's ratio of 0.3, what does this imply about its lateral strain when subjected to axial strain?
Lateral strain is equal to axial strain
Lateral strain is 0.3 times the axial strain
Lateral strain is 3 times the axial strain
Lateral strain is independent of axial strain
A Poisson's ratio of 0.3 means that the lateral strain is 0.3 times the axial strain.
Questions & Step-by-step Solutions
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Q
Q: If a material has a Poisson's ratio of 0.3, what does this imply about its lateral strain when subjected to axial strain?
Solution: A Poisson's ratio of 0.3 means that the lateral strain is 0.3 times the axial strain.
Steps: 7
Step 1: Understand what Poisson's ratio is. It is a measure of how much a material deforms in the lateral direction when it is stretched or compressed in the axial direction.
Step 2: Identify the value of Poisson's ratio given in the question, which is 0.3.
Step 3: Know that Poisson's ratio (ν) is defined as the ratio of lateral strain to axial strain.
Step 4: Use the formula: ν = lateral strain / axial strain.
Step 5: Rearrange the formula to find lateral strain: lateral strain = ν * axial strain.
Step 6: Substitute the value of Poisson's ratio into the formula: lateral strain = 0.3 * axial strain.
Step 7: Conclude that a Poisson's ratio of 0.3 means the lateral strain is 0.3 times the axial strain.
