A rod has a solid circular cross section with a diameter of $40$ mm is subjected to the shown loads. Determine the state of stress at point A$.$

$x=1$

$I_{{?}_{?}}(x)y_{?}=$

Given:

The area moment of inertia of a solid circular cross section about its neutral axis is $I_{NA}=\frac{R^4}{4}.$

The polar moment of inertia of a solid circular cross section about its neutral axis is $J_{NA}=\frac{R^4}{2}.$

The centroid of a semi$-$circle is located at $4\frac{R}{3}$ from the horizontal axis representing the diameter line.

$37$ Mpa

$64$ Mpa

$-37$ Mpa

$3\mathrm{.}5$ Mpa

$-7\mathrm{.}3$ Mpa