Chapter 14.8, Problem 102P

Solve Prob. 14–88 using Mohr’s circle.

*14–88.    The state of strain at the point on the leaf of the caster assembly has components of ${ϵ}_x=-400\left({10}^{-6}\right)$, ${ϵ}_y=860\left({10}^{-6}\right)$, and ${\gamma }_{xy}=375\left({10}^{-6}\right)$. Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of θ = 30° counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.