What is the relationship between stress and strain in the elastic limit of a material?

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Q: What is the relationship between stress and strain in the elastic limit of a material?

Solution: Within the elastic limit, 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, measured as the change in length divided by the original length.
Step 3: Learn about the elastic limit. The elastic limit is the maximum amount of stress that a material can withstand without permanently deforming.
Step 4: Know Hooke's Law. Hooke's Law states that, within the elastic limit, the amount of strain in a material is directly proportional to the amount of stress applied to it.
Step 5: Conclude that within the elastic limit, if you increase the stress, the strain will also increase in a predictable way, following Hooke's Law.