Using given tensile test data $($load$-$displacement curve of two materials $,$ solve the following problems

$1.$Obtain engineering stress$-$engineering strain curves $($specimen diameter$=3$mm$,$ length $=25$mm$)$

$2.$Obtain yield strengths and ultimate tensile strengths

$3.$Obtain total elongations

$4.$If we design a tensile bar using these material, what are the minimum cross sections under the tensile load of $10$kN$?($Bar must behave within elastic regime.$)$

$5.$ The one is TP$316$ stainless steel which has FCC structure, the other is A$106$ Gr$.$C which has BCC structure. Which one is TP$316?$ and Which one is A$106$ Gr$.$C$?$

first material

Displacement$[$mm$]$ Load$[$N$]$

$0,0$

$3\mathrm{.}29$E$-4,30\mathrm{.}37877$

$7\mathrm{.}46$E$-4,48\mathrm{.}19872$

$0\mathrm{.}0011,67\mathrm{.}39196$

$0\mathrm{.}00129,88\mathrm{.}56136$

$0\mathrm{.}00159,110\mathrm{.}88972$

$0\mathrm{.}00205,133\mathrm{.}9306$

$0\mathrm{.}00264,158\mathrm{.}34017$

$0\mathrm{.}00306,183\mathrm{.}37134$

$0\mathrm{.}00334,209\mathrm{.}39452$

$0\mathrm{.}00356,235\mathrm{.}28361$

$0\mathrm{.}00401,260\mathrm{.}97669$

$0\mathrm{.}00465,287\mathrm{.}65725$

$0\mathrm{.}00487,314\mathrm{.}98606$

$0\mathrm{.}00539,341\mathrm{.}95127$

$0\mathrm{.}00573,369\mathrm{.}33183$

$0\mathrm{.}00629,397\mathrm{.}42596$

$0\mathrm{.}00664,425\mathrm{.}32246$

$0\mathrm{.}00712,453\mathrm{.}19329$

$0\mathrm{.}00739,481\mathrm{.}28121$

$0\mathrm{.}00788,510\mathrm{.}49747$

$0\mathrm{.}00829,539\mathrm{.}2376$

$0\mathrm{.}00859,568\mathrm{.}76814$

$0\mathrm{.}00908,598\mathrm{.}57753$

$0\mathrm{.}00969,628\mathrm{.}61142$

$0\mathrm{.}01005,658\mathrm{.}60778$

$0\mathrm{.}01062,691\mathrm{.}03085$

$0\mathrm{.}01112,722\mathrm{.}8743$

$0\mathrm{.}01166,753\mathrm{.}94056$

$0\mathrm{.}01194,785\mathrm{.}75509$

$0\mathrm{.}01244,817\mathrm{.}44006$

$0\mathrm{.}01312,849\mathrm{.}58519$

$0\mathrm{.}01375,881\mathrm{.}98041$

$0\mathrm{.}01414,915\mathrm{.}97327$

$0\mathrm{.}01473,949\mathrm{.}53884$

$0\mathrm{.}01539,982\mathrm{.}62035$

second material

Displacement$[$mm$]$ Load$[$N$]$

$0,0$

$1$E$-9,28\mathrm{.}54023$

$1$E$-9,114\mathrm{.}16099$

$0\mathrm{.}00352,185\mathrm{.}51164$

$0\mathrm{.}00528,271\mathrm{.}13233$

$0\mathrm{.}00704,371\mathrm{.}0232$

$0\mathrm{.}0088,470\mathrm{.}91408$

$0\mathrm{.}01056,599\mathrm{.}34518$

$0\mathrm{.}01232,713\mathrm{.}50624$

$0\mathrm{.}01408,841\mathrm{.}93735$

$0\mathrm{.}01585,956\mathrm{.}09834$

$0\mathrm{.}01849,1084\mathrm{.}52944$

$0\mathrm{.}02113,1227\mathrm{.}23066$

$0\mathrm{.}02289,1341\mathrm{.}39165$

$0\mathrm{.}0265,1469\mathrm{.}82276$

$0\mathrm{.}03175,1569\mathrm{.}71363$

$0\mathrm{.}03875,1669\mathrm{.}60451$

$0\mathrm{.}04675,1726\mathrm{.}68504$

$0\mathrm{.}05625,1798\mathrm{.}03561$

$0\mathrm{.}066,1840\mathrm{.}84603$

$0\mathrm{.}07575,1883\mathrm{.}65637$

$0\mathrm{.}088,1912\mathrm{.}1966$

$0\mathrm{.}10025,1940\mathrm{.}7369$

$0\mathrm{.}11175,1969\mathrm{.}27713$

$0\mathrm{.}12325,1983\mathrm{.}54725$

$0\mathrm{.}13475,1997\mathrm{.}81736$

$0\mathrm{.}147,2012\mathrm{.}08748$

$0\mathrm{.}1585,2026\mathrm{.}35766$

$0\mathrm{.}17175,2040\mathrm{.}62778$

$0\mathrm{.}18475,2054\mathrm{.}89789$

$0\mathrm{.}19725,2054\mathrm{.}89789$

$0\mathrm{.}2095,2069\mathrm{.}16801$

$0\mathrm{.}22275,2083\mathrm{.}43812$

$0\mathrm{.}235,2097\mathrm{.}70824$

$0\mathrm{.}24825,2097\mathrm{.}70824$

$0\mathrm{.}2605,2111\mathrm{.}97835$

$0\mathrm{.}2755,2111\mathrm{.}97835$

$0\mathrm{.}28875,2126\mathrm{.}24847$

$0\mathrm{.}302,2126\mathrm{.}24847$