Determine the principal stresses and angle, Mechanical Engineering

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A "perfect" square (shown in dashed lines in the sketch below) with initial dimensions of 0.5 x 0.5 inch is drawn on the surface of a thin aluminum structure (E = 10x10⁶ psi, v = 0.33). The structure is then loaded and the square deforms as shown:

1123_Determine the principal stresses.png

(a) Determine the principal stresses induced in the structure:

(b) Determine the angle between the +x-axis and the +1 axis

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