$\backslash$table$[[$Metal Alloy,$\backslash$table$[[$Modulus of$],[$Elasticity$]],$Shear Modulus,Poisson's Ratio$],[$GPa$,10^(6)\backslash$psi $,$GPa,$10^(6)\backslash$psi $],[$Aluminum$,69,10,25,3\mathrm{.}6,0\mathrm{.}33],[$Brass$,97,14,37,5\mathrm{.}4,0\mathrm{.}34],[$Copper$,110,16,46,6\mathrm{.}7,0\mathrm{.}34],[$Magnesium$,45,6\mathrm{.}5,17,2\mathrm{.}5,0\mathrm{.}29],[$Nickel$,207,30,76,11\mathrm{.}0,0\mathrm{.}31],[$Steel$,207,30,83,12\mathrm{.}0,0\mathrm{.}30],[$Titanium$,107,15\mathrm{.}5,45,6\mathrm{.}5,0\mathrm{.}34],[$Tungsten$,407,59,160,23\mathrm{.}2,0\mathrm{.}28]]$ Question $1$ From the tensile stress$-$strain behavior for the given material $($as assigned$),$

determine the following:

$($a$)$ Stress$-$strain curve, find the modulus of elasticity

$($b$)$ Yield strength, $($use the offset method if not prominent$)$

$($c$)$ The maximum load that can be sustained by a cylindrical specimen having an original

diameter of $12\mathrm{.}8$ mm

$($d$)$ The change in length and strain, of a specimen originally $250$ mm long that is subjected

to a tensile stress of $345$ MPa

$($e$)$ Write the Poisson's ratio and calculate the strain in z$-$direction

Fill this table at the end of calculation:

Question $2$ What is meant by the following?

$($a$)$ Phase equilibria

$($b$)$ Solubility limit

$($c$)$ Phase diagram

$($d$)$ Eutectic systems