Question $6(10$ points$)$

For the state of plane stress shown occurs on a machine component made of steel with $\backslash (\backslash$sigma$\_\{$Y$\}=36\backslash$mathrm$\{$ksi$\}\backslash ).$ Using the maximum$-$shearing stress criterion, determine whether yield will occur. If yield does not occur, determine the factor of safety.

Yield occurs.

Yield does not occur. F$.$S $=0\mathrm{.}87$

Yield does not occur. F$.$S $\backslash (=1\mathrm{.}2\backslash )$

Yield does not occur. F$.$S $=1\mathrm{.}149$

Question $7(10$ points$)$

For the state of plane stress shown occurs on a machine component made of steel with $\backslash (\backslash$sigma$\_\{$Y$\}=36\backslash$mathrm$\{$ksi$\}\backslash ).$ Using the distortion$-$energy criterion, determine whether yield will occur. If yield does not occur, determine the factor of safety.

Yield does not occur, F$.$S $=1\mathrm{.}28$

Yield does not occur, F$.$S $\backslash (\backslash$mathbf$\{0.87\}\backslash )$

Yield does not occur, F$.$S $=1\mathrm{.}5$

Yield occurs