Problem $1(100$ points$)$

The rod has a diameter of $100$ mm $.$ If it is subjected to the force system shown,

a$)$ Show the internal loadings at A $.$

b$)$ Find the stress components and determine the state of stress at point A $.$

Moment of inertia of a full circl

$I=\frac{r^4}{4}or\frac{d^4}{64}$

Centroid of a semi$-$circle:

$\frac{?}{\text{b}\text{a}\text{r}}(y)=\frac{4r}{3}or\frac{2d}{3}$