Question

A 100 mm by 100 mm square plate with a circle inscribed is subjected to normal stresses σ_x = 200 MPa and σ_y = 90 MPa, acting as shown in Figure P13.33. The plate material has an elastic modulus E = 70 GPa and a Poisson’s ratio ν = 0.33. Assuming plane stress, determine the major and minor axes of the ellipse formed after deformation of the plate.

FIGURE P13.33

Answer 1