Chapter 14.8, Problem 85P

The state of strain at the point on the arm has components of ${ϵ}_x=200\left({10}^{-6}\right)$, ${ϵ}_y=-300\left({10}^{-6}\right)$, and ${\gamma }_{xy}=400\left({10}^{-6}\right)$. Use the strain transformation equations to determine the equivalent in-plane strains on an clement oriented at an angle of 30° counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.