Chapter 14.11, Problem 108P

The 45° strain rosette is mounted on the surface of a shell. The following readings are obtained for each gage: ${ϵ}_a=-200\left({10}^{-6}\right)$, ${ϵ}_b=300\left({10}^{-6}\right)$, and ${ϵ}_c=250\left({10}^{-6}\right)$. Determine the in-plane principal strains.