$D=180mm$

$d=150mm$

$r=15.mm$

$t=12\mathrm{.}5mm$

${}_{yp}=290$MPa

${}_e=165$MPa

${}_r=$range

$q=0\mathrm{.}5$

$N_{fs}=2$

The plate shown is $25mm$ thick. The load $P$ varies from $180,000N$ to $90,000N.$ If the material has a yield point $290$MPa, an andurance limit of $165$MPa, a constant $s$ tress concentration $K=1\mathrm{.}991,$ a fatigue stress concentration foctor $Kf,$ and a notch sensitivity $q=0\mathrm{.}5,$ determine if the part will fail using the Soderberg equation with a factor of safety $N_{fs}=2.$