$10\mathrm{.}1.$ A $0\mathrm{.}505-$in$-$diameter mild steel specimen was tested to failure in a tensile testing machine by slowly pulling it apart with a steadily increasing force. Deformation $($elongation$)$ of the specimen was measured at force intervals of $1000$ lb until the specimen failed. The initial gauge length of the specimen was $2\mathrm{.}00$ in $.$ Observed data are provided in Table E$10\mathrm{.}1.$

$($a$)$ Calculate the stress and strain at each force interval.

$($b$)$ Plot a graph of the stress$-$strain curve.

$($c$)$ Estimate the yield point of the steel. Note its location on the curve.

$($d$)$ Estimate the ultimate strength of the steel. Note its location on the curve.

Table E$10\mathrm{.}1$ TENSILE TEST OF MILD STEEL: OBSERVED DATA

$\backslash$table$[[\backslash$table$[[$Force$],[($lb$)]],\backslash$table$[[$Deformation$],[($in$)]],\backslash$table$[[$Force$],[(Ib)$

$!!!!$ The answer to C is $40,000$ lb$/$in$^2$ and the answer to D is $80,000$ lb$/$in$^2!!!!$