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A \( 2 \) mm skin of \( E = 70 \) GPa is stressed to \( 200 \) MPa at the stiffener. Its effective width is nearest to

  • A.71 mm
  • B.36 mm
  • C.142 mm
  • D.19 mm

Answer: A

Correct answer: 71 mm

The effective width of a buckled panel is

\[ 2w = 1.9t\sqrt{\frac{E}{\sigma}} = 1.9 \times 2 \times \sqrt{\frac{70\,000}{200}} = 3.8 \times 18.71 \approx 71 \ \mathrm{mm} \]

with the stresses in consistent units. Note the square root: quadrupling the stiffener stress halves the effective width, which is why the structure grows less efficient as it approaches its ultimate load.

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