$2.]$ For the $0\mathrm{.}8$ inches diameter cast$-$iron bracket shown, find the stress state at point $H($i$.$e$.,$ find the individual stresses, AND the total normal stress and shear stress at point H$)[30]$

$$ Use the same coordinate directions as shown in the below figure.

$$ Clearly mention$/$show which directions all the stresses are acting $($even the total stresses$).$

Note: Geometric properties of standard cross$-$sections $($such as Area, Moment of inertia, $...)$ are listed in Appendix B$-1$a$,$ on page A$-7,$ of textbook.

Answers:

Max Axial stress, ${}_{\text{a}\text{x}\text{i}\text{a}\text{l}}=$

Max Bending stress, ${}_{\text{b}\text{e}\text{n}\text{d}\text{i}\text{n}\text{g}}=$

Max Torsional stress, ${}_{\text{t}\text{o}\text{r}\text{s}\text{i}\text{o}\text{n}}=$

Max Transverse shear stress, ${}_{\text{t}\text{r}\text{a}\text{n}\text{s}}=$

Total normal stress at H$,{}_{\text{T}\text{o}\text{t}\text{a}\text{l}}=$

Total shear stress at $H,{}_{\text{T}\text{o}\text{t}\text{a}\text{l}}=$