Problem $2.$ Bending Test $(10$ points$)$

You conducted a bending test on an epoxy polymer and a $0-$fiberglass$-$epoxy composite. The test

data is presented in the attached Excel file. $($Take Home Test $1$ Version D Fa $2024//$Problem $2)$

a$)$ Present, in a single plot, the force$-$corrected deflection slope for the polymer and the composite

b$)$ Calculate the respective flexural strength of the polymer and the composite

c$)$ Calculate the respective flexural modulus of the polymer and the composite

d$)$ Calculate the percent increase in the flexural strength due to the addition of the fiberglass to the

epoxy

$\%$ increase $in$ flex. strength $=(\frac{{}_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{c}\text{o}\text{m}\text{p}\text{o}\text{s}\text{i}\text{t}\text{e}}-{}_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{p}\text{o}\text{l}\text{y}\text{m}\text{e}\text{r}}}{{}_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{p}\text{o}\text{l}\text{y}\text{m}\text{e}\text{r}}})100\%$

e$)$ Calculate the percent increase in the flexural modulus due to the addition of the fiberglass to

the epoxy

$\%$ increase $in$ flex. modulus $=(\frac{E_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{c}\text{o}\text{m}\text{p}\text{o}\text{s}\text{i}\text{t}\text{e}}-E_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{p}\text{o}\text{l}\text{y}\text{m}\text{e}\text{r}}}{E_{\text{b}\text{e}\text{n}\text{d}\text{,}\text{p}\text{o}\text{l}\text{y}\text{m}\text{e}\text{r}}})100\%$