$1.$ A crank loaded by a force $\backslash ($ F$=300\backslash$mathrm$\{$lb$\}\backslash )$ causes twisting and bending of a $0\mathrm{.}75-$in$-$diameter shaft fixed to a support. For point $\backslash ($ A $\backslash )$ on the top surface of the shaft: $(\backslash (\backslash$mathbf$\{15\}^\{\backslash$prime$\}\backslash )$ in total$)$

$1)$ determine the maximum normal stress and absolute maximum shear stress. $(8\text{'})$

$2)$ determine the Tresca Stress and the von Mises Stress. $(3\text{'})$

$3)$ use the maximum shear stress theory to determine a specific material type for SAE $3140$ steel with safety factor $\backslash ($ N$=4\backslash ).(4\text{'})$ Schematic Figure for Problem $\backslash$#$1$