Problem $1(25$ points$)$: Perform a fatigue evaluation of the plate shown below. Identify all the details that fatigue evaluation is necessary. Where do you anticipate the failure to nucleate first? What is the fatigue limit $(S_{fK})$ of this plate? What is $\frac{N_{95\%}}{95}\%$ of this panel subject to cyclic loading? The part is made from SAE $4130$ Steel $(Su=830$MPa,$120$Ksi $)$ and it is subject to uniaxial cyclic tension with $S_{\text{m}\text{a}\text{x}}=300$MPa$(43\mathrm{.}5$Ksi$)$ and $R=-1.$ What are some of the ways to improve the fatigue life of the lowest quality detail$($s$)$ of this panel?

Some dimensions are as follows: Plate height $=152\mathrm{.}4mm,$ plate thickness $=2\mathrm{.}54mm,$ hole diameter $=12\mathrm{.}7mm,$ notch and fillet radius $=25\mathrm{.}4mm.$ Holes are at least $2$D away from the edge and the minimum fastener pitch distance is $4$D$-6$D$.$ Use Neuber equation and $Ra=1\mathrm{.}5m$; Make necessary and valid assumptions or judgments as an engineering analyst and design this part for an optimum design and a maximum fatigue life. points are far field $($on the left and right hand side$),$ such that there are no effects on these details. Document your detail analysis properly.