Problem$-1$: A uniaxial tension test is conducted on a rod that has a circular crosssection with an area of $0\mathrm{.}2011i{n}^2.$ The displacements are measured using a contact extensometer with a gage length of $2$ inches. The obtained load in kilo pounds $($kips$)$ and displacement in inches is tabulated as follows.

$\backslash$table$[[$in$,$kips$],[0,0],[0\mathrm{.}00016,1],[0\mathrm{.}000352,2],[0\mathrm{.}000706,3],[0\mathrm{.}001012,4],[0\mathrm{.}001434,5],[0\mathrm{.}001712,6],[0\mathrm{.}001986,7],[0\mathrm{.}002286,8],[0\mathrm{.}002612,9],[0\mathrm{.}002938,10],[0\mathrm{.}003274,11],[0\mathrm{.}003632,12],[0\mathrm{.}003976,13],[0\mathrm{.}004386,14],[0\mathrm{.}00464,15],[0\mathrm{.}004988,16],[0\mathrm{.}005432,17],[0\mathrm{.}005862,18],[0\mathrm{.}006362,19],[0\mathrm{.}007304,20],[0\mathrm{.}008072,21],[0\mathrm{.}009044,22],[0\mathrm{.}01131,23],[,]]$

$1$

$\backslash$table$[[0\mathrm{.}01412,24],[0\mathrm{.}020044,25],[0\mathrm{.}029106,26]]$

Generate engineering stress and strain values and draw the engineering stressstrain curve. $(5$ points$)$

Determine the modulus of elasticity. $(5$ points$)$

Estimate the value of the proportionality limit$.(5$ points$)$

Determine the yield stress using the $0\mathrm{.}2\%$ offset method. $(5$ points$)$

Generate the true stress$-$strain curve values and plot them $($see slide $27$ of class notes$).(10$ points$)$