(Solved): A tensile test was performed on a specimen made of medium carbon steel. It was determined that it h ...

A tensile test was performed on a specimen made of medium carbon steel. It was determined that it has a yield strength of $S_y=58\mathrm{kpsi}$, ultimate strength $S_{ut}=90\mathrm{kpsi}$, strength strengthening coefficient ${?}_0=140$ kpsi, strain strengthening exponent $m=0.14$, and true strain at fracture ${?}_f=0.57$. Another specimen made of the same material has been subjected to a tensile load that caused such plastic deformation so that its diameter has been reduced by $2\%\left(d_{\text{def }}=0.98{\mathrm{d}}_0\right)$. Estimate the values of expected yield and ultimate strengths that are obtained from the cold working operation. Figure 1: Tension test specimen geometry.