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Solved: The stressstrain diagram for a bone is shown and
Chapter 3, Problem 3-20(choose chapter or problem)
The stress–strain diagram for a bone is shown and can be described by the equation \(\epsilon=0.45\left(10^{-6}\right) \sigma+\) \(0.36\left(10^{-12}\right) \sigma^{3}\), where s is in kPa. Determine the modulus of toughness and the amount of elongation of a 200-mm-long region just before it fractures if failure occurs at \(\epsilon=0.12 \mathrm{~mm} / \mathrm{mm}\).
Questions & Answers
QUESTION:
The stress–strain diagram for a bone is shown and can be described by the equation \(\epsilon=0.45\left(10^{-6}\right) \sigma+\) \(0.36\left(10^{-12}\right) \sigma^{3}\), where s is in kPa. Determine the modulus of toughness and the amount of elongation of a 200-mm-long region just before it fractures if failure occurs at \(\epsilon=0.12 \mathrm{~mm} / \mathrm{mm}\).
ANSWER:
Step 1 of 3
The equation for the stress in the bone is as follows:
For 
On solving the above quadratic equation:
