A Grade $2$ Titanium tension test specimen has a diameter of $12\mathrm{.}0mm$ and a gage length of $40mm.$ 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 yield strength offset$).$

$($d$)$ the ultimate strength.

$($e$)$ the fracture stress.

$($f$)$ the true fracture stress if the final diameter of the specimen at the location of the fracture was $9\mathrm{.}96mm.$

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