Problem $1(35$ points$)$

At a certain point on a machine element, loaded in a way to generate plane stress, the stresses

are found to be ${}_x=80$MPa,${}_y=-40$MPa, and ${}_{xy}=0.$

a$.$ Determine the principal stresses.

b$.$ Find $($normal stress$)$ and $($shear stress$)$ on the planes whose normal are at $+30$ degrees

and $+120$ degrees with respect to the $x-$axis. Use our stress transformation equations to

solve.

c$.$ Sketch the stress block showing your results.Problem $1(35$ points$)$

At a certain point on a machine element, loaded in a way to generate plane stress, the stresses

are found to be ${}_x=80$MPa,${}_y=-40$MPa, and ${}_{xy}=0.$

a$.$ Determine the principal stresses.

b$.$ Find $($normal stress$)$ and $($shear stress$)$ on the planes whose normal are at $+30$ degrees

and $+120$ degrees with respect to the $x-$axis. Use our stress transformation equations to

solve.

c$.$ Sketch the stress block showing your results.Problem $1(35$ points$)$

At a certain point on a machine element, loaded in a way to generate plane stress, the stresses

are found to be ${}_x=80$MPa,${}_y=-40$MPa, and ${}_{xy}=0.$

a$.$ Determine the principal stresses.

b$.$ Find $($normal stress$)$ and $($shear stress$)$ on the planes whose normal are at $+30$ degrees

and $+120$ degrees with respect to the $x-$axis. Use our stress transformation equations to

solve.

c$.$ Sketch the stress block showing your results.