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A rod that 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 $A.$

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.

Select one:

$x=-16\mathrm{.}7$Mpa and ${}_{xy}=-8\mathrm{.}4$Mpa

None of these

$x=-15\mathrm{.}1$Mpa and ${}_{xy}=-7\mathrm{.}5$Mpa

$x=16\mathrm{.}7$Mpa and ${}_{xy}=8\mathrm{.}4$Mpa

$x=-13\mathrm{.}35$Mpa and ${}_{xy}=-8\mathrm{.}4$Mpano