How to find modulus of elasticity from stress strain graph?
Understand the Problem
The question is asking how to determine the modulus of elasticity using a stress-strain graph. The modulus of elasticity is calculated as the slope of the linear portion of the graph, where stress is plotted against strain. This involves identifying the range within the elastic limit and applying the formula: E = stress/strain.
Answer
The modulus of elasticity is the slope of the linear portion of the stress-strain curve in the elastic region.
The modulus of elasticity is the slope of the linear portion of the stress-strain curve, calculated as the change in stress divided by the change in strain.
Answer for screen readers
The modulus of elasticity is the slope of the linear portion of the stress-strain curve, calculated as the change in stress divided by the change in strain.
More Information
Young's Modulus, an indicator of the material's stiffness, is exclusively determined from the elastic region of the stress-strain curve where the relation is linear.
Tips
Ensure to only use the linear elastic region of the graph. Using points outside this region can result in incorrect calculations.
Sources
- The web page with info on - Modulus of Elasticity - instron.com
- How do you calculate Young's modulus from a graph? - Quora - quora.com
- Calculating Young's Modulus from this Stress/Strain Graph - physicsforums.com
