PROBLEM $27$ THANKS $3-27.$ The elastic portion of the stress$-$strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of $12\mathrm{.}7$mm and a gage length of $50\mathrm{.}8$mm$.$ When the applied load on the specimen is $50$ kN$,$ the diameter is $12\mathrm{.}67494$mm$.$ Determine Poisson's ratio for the material. $*3-28.$ The elastic portion of the stress$-$strain diagram for an aluminum alloy is shown in the figure. The specimen from which it was obtained has an original diameter of $12\mathrm{.}7$mm and a gage length of $50\mathrm{.}8$mm$.$ If a load of P$=60$ kN is applied to the specimen, determine its new diameter and length. Take

u $=0\mathrm{.}35$ Probs. $5-2//2$S