Problem $4(20$ points$)$: What is fatigue life of a $7076-$T$6$ aluminum panel that contains $30$ holes subject to pure bending? The panel is $120"$ wide and $0\mathrm{.}10"$ thick. The holes are equally spaced and have diameter of $0\mathrm{.}5".$ The plate is subject to a reversal moment of $125$ lb $-$in$.(30$ Points$)$

a$.$ What is the typical $($uncorrected$)$ fatigue life according to MMPS$?$

b$.$ What is $\%$ of structure represented in the test?

c$.$ What are the various scatter reduction factors used to obtain $95\frac{\%}{95}\%$ and $99\%/95\%$ fatigue life?

d$.$ What are the values of $N95\frac{\%}{95}\%$ and $N99\frac{\%}{95}\%$ of the panel?

e$.$ Describe the meaning of the lives obtained in part d; what is the ratio of these lives?