A solid aluminum bar $(G=27$GPa $)$ of diameter $d=50mm$ is subjected to torques $T=485N*m$ acting in the directions shown in the figure.

$($a$)$ Determine the maximum shear, tensile, and compressive stresses $($in MPa$)$ in the bar. $($For shear stress, enter the magnitude. For tensile and compressive stresses, include the signs of the values in

your answers.$)$

${}_{\text{m}\text{a}\text{x}},=,$MPa

${}_{t,\text{m}\text{a}\text{x}},=,$MPa

${}_{c,\text{m}\text{a}\text{x}},=MP{a}^2$

Show these stresses on sketches of properly oriented stress elements. $($Submit a file with a maximum size of $1$ MB$.)$

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$($b$)$ Determine the corresponding maximum strains $($shear$,$ tensile, and compressive$)$ in the bar. $($For shear strain, enter the magnitude in radians. For tensile and compressive strains, include the signs of

the values in your answers and use the deformation sign convention.$)$

${}_{\text{m}\text{a}\text{x}}=$

${}_{t,\text{m}\text{a}\text{x}}=$

${}_{c,\text{m}\text{a}\text{x}}=$

Show these strains on sketches of the deformed elements. $($Submit a file with a maximum size of $1$ MB $.)$