An airplane wing is made of an isotropic linearly elastic aluminum alloy (E = 72.0 GPa and ν = 0.33). Consider a point in the free surface of the wing that is tangent to the (x, y)plane. If σxx = 250 MPa, σyy = −50 MPa, and σxy = −150 MPa, determine the directions for strain gages at that point to measure two of the principal strains. What are the magnitudes of these principal strains?
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