$[14$Pts$]$

C$1.$ A car company has developed a new steel for use as a structural component.

Answer the following questions based on this steel choice:

$[$a$]$ Based on the given engineering $\backslash$sigma $-\backslash$epsi diagrams for this new steel, which of these two curves is considered ductile? No explanation is required.

$[$b$]$ What is the approximate yield strength, tensile strength, and modulus of elasticity of thecold$-$worked steel $($orange$)$ and the cold$-$worked and annealed steel $($blue$)?$ Show work on the graphs. Use these values to answer parts $[$c$]$ through $[$d$],$ if necessary.

$[$c$]$ Given that Poisson$$s ratio is $0\mathrm{.}30,$ what is the shear modulus for this steel in the two conditions?

$[$d$]$ If the maximum load that may be applied to the plate cannot exceed $1000$ kN without plastic deformation, would this steel be acceptable given a cross$-$sectional area of $25$ cm $2?$For full credit, show calculations to justify your answer.

$[$e$]$ If the maximum amount of engineering strain that the steel may be stretched without causing necking is $1\mathrm{.}0($mm$/$mm$),$ would this steel be acceptable? No calculation is necessary but explain your answer.