Method $2$: On a single graph, plot longitudinal strain vs$.$ load and transverse strain vs$.$ load for all loads. Strains are plotted on the ordinate axis $($the conventional $"y-$axis"$)$ and loads are plotted on the abscissa $($the conventional $"x-$axis"$).$ Dividing the slope of transverse strain vs$.$ load by the slope of longitudinal strain vs$.$ load, then multiplying by $(-1),$ yields Poisson's Ratio.

Take a minute to solve the following problem before continuing with the background unit:

Problem $3$:

Using the data in Table $2$ and "Method $2"$ described above, determine Poisson's Ratio of the AISI $4140$ steel tested.

Table $2$

$\backslash$table$[[,$Strain,$],[$Load$,$ lbs$.,{}_{\text{l}\text{o}\text{n}\text{g}},{}_{\text{t}\text{r}\text{a}\text{n}\text{s}},],[0,,0,0],[1500,,130,-40],[3000,,260,-78],[4500,,386,-112],[6000,,509,-151],[7500,,647,-188],[9000,,774,-223],[10500,,904,-260],[12000,,1033,-298],[15000,,1283,-370],[18000,,1537,-441]]$