Problem $2-23$

A $1-$in$-$diameter rod, $3$ ft long, of unknown material is found in a machine shop. A variety of inexpensive nondestructive tests

are readily available to help determine the material, as described below:

$($a$)$ Visual inspection.

$($b$)$ Scratch test: Scratch the surface with a file; observe color of underlying material and depth of scratch.

$($c$)$ Check if it is attracted to a magnet.

$($d$)$ Measure weight$()\backslash$pm $0\mathrm{.}05$ lbf $.$

$($e$)$ Inexpensive bending deflection test: Clamp one end in a vise, leaving $24$ in cantilevered. Apply a force of

$100$ lbf$()\backslash$pm $1$ lbf $.$ Measure deflection of the free end$()$within $\backslash$pm $1/32$ in $.$

$($f$)$ Brinell hardness test.

Choose which tests you would actually perform, and in what sequence, to minimize time and cost, but to determine the

material with a reasonable level of confidence. The table below provides results that would be available to you if you choose

to perform a given test. Explain your process and include any calculations. You may assume the material is one listed in Table

A$5.$ If it is carbon steel, try to determine an approximate specification from Table A$20$