Which material has the greatest Young's Modulus?

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SUMMARY

The discussion centers on the determination of Young's Modulus from a stress-strain graph. User B argues that material B has the highest slope in the linear region, suggesting it should be the correct answer. However, the answer key indicates material A is correct. The consensus is that Young's Modulus is defined by the slope of the elastic portion of the curve, confirming that material B is indeed the correct choice based on its linear characteristics.

PREREQUISITES
  • Understanding of Young's Modulus and its calculation
  • Familiarity with stress-strain graphs
  • Knowledge of elastic and plastic deformation concepts
  • Basic grasp of linear equations and slopes
NEXT STEPS
  • Study the definitions and applications of Young's Modulus in material science
  • Explore stress-strain relationships in different materials
  • Learn about the significance of the elastic limit in material properties
  • Investigate how to interpret and analyze stress-strain curves effectively
USEFUL FOR

Students in materials science, engineers involved in material selection, and anyone studying mechanical properties of materials will benefit from this discussion.

songoku
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Homework Statement
Please see below
Relevant Equations
Young Modulus = stress / strain
1695226104886.png


My answer is (B) since it has the highest slope for the straight line part of the graph but the answer key is (A). Is it because the slope of graph B will decrease until the value less than slope A? So we don't only consider the straight line part but the whole graph?

Thanks
 
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songoku said:
Homework Statement: Please see below
Relevant Equations: Young Modulus = stress / strain

View attachment 332269

My answer is (B) since it has the highest slope for the straight line part of the graph but the answer key is (A). Is it because the slope of graph B will decrease until the value less than slope A? So we don't only consider the straight line part but the whole graph?

Thanks
According to https://en.wikipedia.org/wiki/Young's_modulus, it is the slope of the elastic portion (the linear part at the start) of the curve. That makes B correct.
 
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Thank you very much haruspex
 

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