How to calculate elastic modulus from stress strain curve?
Understand the Problem
The question is asking how to determine the elastic modulus from a stress-strain curve, which represents the relationship between stress and strain in materials under deformation. This involves identifying the slope of the linear portion of the curve, which corresponds to the elastic or proportional limit of the material.
Answer
Young's modulus is the ratio of stress over strain in the linear portion: E = Δσ / Δε
Young's modulus can be calculated by dividing the change in stress by the change in strain in the linear portion of the stress-strain curve: E = Δσ / Δε
Answer for screen readers
Young's modulus can be calculated by dividing the change in stress by the change in strain in the linear portion of the stress-strain curve: E = Δσ / Δε
More Information
Young's modulus, also known as the modulus of elasticity, measures a material's ability to resist deformation under stress. It is named after the 19th-century British scientist Thomas Young.
Tips
Make sure to select points in the linear region of the stress-strain curve. Using points outside this region will result in inaccurate calculations.
