In$-$Class Activity $05.$

Consider a thin walled cylindrical tube with an average radius of $2$ inches,

wall thickness of $\{0\mathrm{.}02+0\mathrm{.}005(n-1)\}$ inches and a length of $50$ inches. The

cylindrical tube is initially subjected to a torsional moment $T=8,000lb-$in$.$

While holding the torsional moment at the above value, an axial end force $P$ is

applied and increased gradually until the tube yields. The tube is made of

$2024-$T$4$ Aluminum

What is the axial force $\text{'}P\text{'}$ at the onset of yielding based on Tresca yield

criteria?

Compute the state of strain in the wall of the tube at onset of yielding?

What is the axial force $\text{'}P\text{'}$ at the onset of yielding based on Von$-$Mises yield

criteria?

What is the angle of twist of the tube at onset of yielding $($Tresca and Von Mises$)?$

Compute the hydrostatic and distortional energy densities at the onset of yielding $($Von

Mises$).$

I need answers to all $5$ questions N$=7$