a$)$ The Proportional Limit $=$ approx. $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

b$)$ The Ultimate Strength $=$ approx. $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

c$)$ The Approximate Modulus of Elasticity $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

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d$)$ The $0\mathrm{.}2\%$ Offset Yield Strength$/$Stress $=$ approximately $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

e$)$ The Percent Elongation at Fracture $=$ approximately $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

f$)$ The metric stress value of $350$ MPa is equivalent to a US Customary Stress of

$\_\_\_\_\_\_\_\_\_\_\_\_\_$ pounds per square inch $($psi$).$

g$)$ What kind of behavior is demonstrated in the Stress$-$Strain diagram $$ is it

ductile behavior, or is it or brittle behavior? Which one? $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$8.$ Imagine that you had a $12-$inch long, $3/4-$inch diameter bar of the material characterized

by this stress$-$strain diagram. By approximately how much would a tensile load of $45$ ksi

cause the bar to stretch? $=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ inches. $(10$ points$)$

$9.$ A $2-$inch diameter metal specimen is subjected to an axial compressive load of $40,000$

lb$.$ The specimen is $$squashed$$ such that transverse $($lateral$)$ and longitudinal $($axial$)$

dimensional changes are measured with the use of strain gages and the strains are

determined to be $0\mathrm{.}0012$ inch per inch longitudinally and $0\mathrm{.}0004$ inch per inch

transversely. Compute $($a$)$ Poisson$$s Ratio and $($b$)$ the Tensile Modulus of Elasticity, E

$($c$)$ the Modulus of Rigidity $($see Chapter $2$ of your online textbook the help with this

problem$).$