Problem $2$

Consider the stress$-$strain curves shown in:

a$)$ Book $8-6($Page $380)$ Note: This graph provides the stress$-$strain result for one material with the light blue curve representing the zoomed in low$-$strain segment of the curve$)$

b$)$ Book $8-16($Page $381)$

Based on each of these stress$-$strain curves, calculate or identify the following items:

$-$ Modulus of elasticity

$-$ Modulus of resilience

$-$ Modulus of toughness

$-$ Yield stress

$-$ Yield strain

$-$ Ultimate stress

$-$ Ultimate strain

$-$ Fracture stress

$-$ Fracture strain

$-$ Ductility strain ratio

Note: If any of the values you need to identify or calculate are not explicitly clear from the stressstrain curves, you may need to estimate those values. If you utilize any estimations, state any assumptions that are made when making that estimation and justify why that estimation and assumption are reasonable. $8-6.$ The stress$-$strain diagram for a steel alloy having an original diameter of $0\mathrm{.}5$ in $.$ and a gage length of $2$ in $.$ is given in the figure. Determine approximately the modulus of resilience and the modulus of toughness for the material.

Prob. $8-6$ Prob. $8-16$