Problem $5$

The load versus deformation data in the tensile testing of an unknown metal specimen are given in the following table:

$\backslash$table$[[\backslash$table$[[$Load$],[($Ib$)]],\backslash$table$[[$Elongation$],[($in$)]],\backslash$table$[[$Load$],[(b)]],\backslash$table$[[$Elongation$],[($in$)]]],[0,0,23,000,0\mathrm{.}16],[2,500,0\mathrm{.}0020,21,000,0\mathrm{.}19],[4,900,0\mathrm{.}0040,18,250,0\mathrm{.}21],[13,000,0\mathrm{.}010,17,250,0\mathrm{.}22],[19,000,0\mathrm{.}014,15,250,0\mathrm{.}23($fracture$)],[20,000,0\mathrm{.}026,,],[21,100,0\mathrm{.}060,,],[22,200,0\mathrm{.}11,,]]$

a$)$ Plot the load$-$deformation diagram for the unknown metal.

b$)$ Estimate the load at which yield occurs.

c$)$ The slope of the straight portion of the curve.

d$)$ The ultimate load.

e$)$ The elongation at failure.

f$)$ The energy under the linear portion of the curve.

g$)$ Does this curve tell you anything about the general material properties of the unknown metal? Explain in a short paragraph.