Instructions: Utilize the formulas from your equation booklet to complete your assignment.

$--$Given Values$--$

True Strain: $=0\mathrm{.}38$

True Stress $($Mpa$)$: $=589$

Applied True Stress $($Mpa$)$: $=621$

Grain Diameter $1($mm$)$: $=5\mathrm{.}80$E$-02$

Yield Stress $1($MPa$)$: $=120$

Grain Grain Diameter $2($mm$)$: $=6\mathrm{.}50$E$-03$

Yield Stress $2($MPa$)$: $=277$

Specimen $1$ Initial Radius $($mm$)$: $=19$

Specimen $1$ Final Radius $($mm$)$: $=15$

Specimen $2$ Initial Radius $($mm$)$: $=12$

Problem $1$ Part A:

A tensile test is performed on a metal specimen, and it is found that a true plastic strain given is produced when a true stress of listed is applied; for the same metal, the value of K in the following equation:

is $860$ MPa $(125,000$ psi$).$ Calculate the value of n$.($Write your answer with $2$ decimal places$)$

Your Answer $=$

$1$

Incorrect.

Problem $1$ Part B:

A tensile test is performed on a metal specimen, and it is found that a true plastic strain given is produced when a true stress of listed is applied; for the same metal, the value of K in the following equation:

is $860$ MPa $(125,000$ psi$).$ Calculate the true strain for this material at the applied true stress listed above. $($Write your answer to the thousandths place $0\mathrm{.}000)$

Your Answer $=$

$1$

Incorrect.

Problem $2$:

For pure metals, the recrystallization temperature is normally about x$*$Tm $,$ where Tm is the melting temperature, what is x$?$

Your Answer $=$

$1$

Incorrect.

Problem $3$:

The yield strength for an alloy that has an average grain diameter, d$1,$ is listed above as Yield Stress $1.$ At a grain diameter of d$2,$ the yield strength increases Yield Stress $2.$ At what grain diameter, in mm$,$ will the yield strength be $217$ MPa?$($Answer to the ten thousands place $0\mathrm{.}0000)$

Your Answer $=$

$1$

Incorrect.

Problem $5$:

Two previously undeformed cylindrical specimens of an alloy are to be strain hardened by reducing their cross$-$sectional areas $($while maintaining their circular cross sections$).$ For one specimen, the initial and deformed radii are listed above as radius $1$ and radius $2.$ The second specimen, has the initial radius listed, must have the same deformed hardness as the first specimen; compute the second specimen's radius, in mm$,$ after deformation.

Your Answer $=$

$1$

Incorrect.