Problem $1.$ A compound shaft consists of segment $(1),$ which has a diameter of $1\mathrm{.}25$ in $.,$ and segment $(2),$ which has a diameter of $1\mathrm{.}75$ in $.$ The shaft is subjected to a tensile axial load of $\backslash ($ P$=9\backslash )$ kips and torques $\backslash ($ T$\_\{$A$\}=7\backslash$mathrm$\{$kip$\}\backslash$cdot $\backslash$mathrm$\{$in$\}\backslash ).$ and $\backslash ($ T$\_\{$B$\}=\backslash )28$ kip $-$in$.,$ which act in the directions shown in Figure P$12\mathrm{.}1.$ Determine the normal and shear stresses at $($a$)$ point $\backslash ($ H $\backslash )$ and $($b$)$ point $\backslash ($ K $\backslash ).$ For each point, show the stresses on a stress element.

FIGURE P$12\mathrm{.}1$