A circle (50 mathrm{~mm}) in diameter is scribed on a mild steel plate before it is subjected

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A circle \(50 \mathrm{~mm}\) in diameter is scribed on a mild steel plate before it is subjected to the following state of stress:

\(\sigma_{x}=200 \mathrm{MPa}, \sigma_{y}=100 \mathrm{MPa}=\tau x y=80 \mathrm{MPa}\)

Calculate the length of the major and minor axes of the ellipse after deformation. Take \(v=0.28\) and \(E=210 \mathrm{GPa}\).

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