Chapter 14.8, Problem 104P

Solve Prob. 14–90 using Mohr’s circle.

14–89.    The state of strain at a point on the bracket has component: ${ϵ}_x=150\left({10}^{-6}\right)$, ${ϵ}_y=200\left({10}^{-6}\right)$, ${\gamma }_{xy}=-700\left({10}^{-6}\right)$. 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 within the x–y plane due to these strains.

14–90.    Solve Prob. 14–89 for an element oriented θ = 30° clockwise.