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$10-98.$ The $60$ strain rosette is mounted on a beam. The following readings are obtained for each gauge: $lo{n}_a=600({10}^{-6}),lo{n}_b=-700({10}^{-6}),$ and $lo{n}_c=350({10}^{-6}).$ 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. Using Mohr Circle