What is the relationship between stress and strain in the elastic region of a material?
Practice Questions
1 question
Q1
What is the relationship between stress and strain in the elastic region of a material?
Stress is directly proportional to strain
Stress is inversely proportional to strain
Stress is independent of strain
Stress is proportional to the square of strain
In the elastic region, stress is directly proportional to strain, as described by Hooke's Law.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between stress and strain in the elastic region of a material?
Solution: In the elastic region, stress is directly proportional to strain, as described by Hooke's Law.
Steps: 5
Step 1: Understand what stress is. Stress is the force applied to a material divided by the area over which the force is applied.
Step 2: Understand what strain is. Strain is the deformation or change in shape of a material when stress is applied.
Step 3: Learn about the elastic region. The elastic region is the range of stress and strain where a material will return to its original shape after the stress is removed.
Step 4: Know Hooke's Law. Hooke's Law states that, in the elastic region, the amount of strain in a material is directly proportional to the amount of stress applied.
Step 5: Apply Hooke's Law. This means if you double the stress, the strain will also double, as long as you are within the elastic region.