A component with a diameter ranging from $12$ mm to $20$ mm is provided. The material used is $42$CrMo$4$ alloy, which has undergone heat treatment. The axial load $($Fi$)$ varies between $-50$ N and $150$ N$,$ while the vertical load $($Fz$)$ is applied statically at $1$ kN$.$ The most recent processing of the part is termed "finishing." Determine whether the section with a diameter of $2$ mm is safe using the Soderberg criterion, neglecting shear stress.