Stress/Strain and Youngs Modulus

[ravsterphysics]

Homework Statement

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?

 

[mjc123]

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