Strain transformation example

For the n direction, θ=+50∘. Therefore, the normal strain εn is computed in the following manner:

εn=εx cos2θ+εy sin2θ+γxy sinθcosθ   =(900μ) cos2(50∘)+(-600μ) sin2(50∘)      +(-850μ) sin(50∘) cos(50∘)   =-398.78 μm/m