Module $8$ Lab$-$ Mechanical Testing and Plastic Deformation

A $1045$ hot$-$rolled steel tension test specimen has a diameter of $6\mathrm{.}00$ mm and a gage length of $30$ mm $.$ In a test to fracture, the stress and strain data below were obtained. Determine:

a$)$ the modulus of elasticity,

b$)$ the proportional limit$,$

c$)$ the ultimate strength,

d$)$ the yield strength $(0\mathrm{.}05\%$ offset$)$

e$)$ the yield strength $(0\mathrm{.}20\%$ offset$)$

f$)$ the fracture stress

g$)$ the true fracture stress if the final diameter of the specimen at the location of the fracture was $4\mathrm{.}54$ mm $.$

Table $1.$ Load and change in length

$\backslash$table$[[$Load $(kN),\backslash$table$[[$Change in Length$],[(mm)$