$11.(25$ pts$)$ For the stress$-$strain curve, determine the following,

a$.$ The modulus of elasticity

b$.$ The proportional limit $($linear stress$-$strain relationship ends$)$

c$.$ The yield strength taken at $\backslash (2\backslash \%\backslash )$ strain offset the proportional limit

d$.$ The ultimate tensile strength

e$.$ The modulus of resilience

f$.$ Given that the test specimen is $375$ mm long and has a square cross section $($side length $5\mathrm{.}5$ mm $).$ Compute the magnitude of the load necessary to produce an elongation of $2\mathrm{.}25$ mm $.$