Problem $1.$ Tensile Test $(20$ points$)$

You conducted a tensile test on a cylindrical aluminum specimen $($AA $2011$ T$-3).$ Your experimental

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

a$)$ Calculate the percent elongation and the percent reduction in area $($SHOW CALCULATIONS$)$

b$)$ Determine the ultimate $($engineering$)$ tensile strength $($SHOW CALCULATIONS: maximum force

divided by $A_0)$

c$)$ Calculate the modulus of elasticity.

Copy and paste the Excel plot here and type the result.

Note: The plot should be engineering stress versus CORRECTED engineering strain.

e$)$ Plot in the same figure the true stress versus true strain and the engineering stress versus the

engineering strain. Show the plot here. Perform a hand calculation for the true stress and strain

at the UTS point.

Note:

Recall that the true stress$-$strain should be truncated at the UTS point.

f$)$ Calculate the tensile toughness.

Note:

Copy here the first four lines of your calculations for the areas under the curve you

calculated in Excel.$)$

Then, state the equation you used and type your answer