Stress/Strain and Youngs Modulus

  • #1

Homework Statement


1.JPG


Homework Equations




The Attempt at a Solution


The shaded area is a triangle so the area of a triangle for this particular graph is this:

0.5 (Stress)(Strain) which gives:

0.5(F/A)(e/L) so the top would give work done and the bottom would give volume but we're still left with 0.5 in front of this so the answer should be A yet the answer is B? Why has the half disappeared?
 

Answers and Replies

  • #2
mjc123
Science Advisor
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The work done is not F*e because F is not constant throughout the process. The work done is the integral of Fde, which for a Hookean process is 0.5Fe
 

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