#$9$ The $45$ strain rosette is mounted on a steel shaft. The following readings are obtained from each gage: $lo{n}_a=300({10}^{-6}),lo{n}_b=-250({10}^{-6}),lo{n}_c=-450({10}^{-6}).$ Determine $($a$)$ the in$-$plane principal strains and $($b$)$ the maximum in$-$plane shear strain and average normal strain. In each case show the deformed element due to these strains.