Strain transformation example


The angle θ between the +x axis and diagonal AC is:

tanθ=2040

∴θ=26.565∘

The normal strain along diagonal AC is computed from:

εAC=εx cos2 θ + εy sin2 θ + γxy sinθcosθ     =(-700μ) cos2 (26.565∘) + (-500μ) sin2 (26.565∘)          + (900μ) sin(26.565∘) cos(26.565∘)     = -299.94 μm/m