Repeat Problem. 6–73 for the ASME-elliptic fatigue failure locus, implementing Eqs. (6–82) and (6–83).
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Eq. (6–82) : \bar{S}_{a}=\frac{r \bar{S}_{y} \bar{S}_{e}}{\sqrt{r^{2} \bar{S}_{y}^{2}+\bar{S}_{e}^{2}}}
Eq. (6–83) : C_{S a}=\left(1+C_{S y}\right)\left(1+C_{S e}\right) \sqrt{\frac{r^{2} \bar{S}_{y}^{2}+\bar{S}_{e}^{2}}{r^{2} \bar{S}_{y}^{2}\left(1+C_{S y}\right)^{2}+\bar{S}_{e}^{2}\left(1+C_{S e}\right)^{2}}}-1