Chapter 14.8, Problem 100P

Solve Prob. 14–86 using Mohr’s circle.

14–86.    The state of strain at the point on the pin leaf has components of ${ϵ}_x=200\left({10}^{-6}\right)$, ${ϵ}_y=180\left({10}^{-6}\right)$, and ${\gamma }_{xy}=-300\left({10}^{-6}\right)$. Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of θ = 60° counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.