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