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A sandwich panel has facesheets \( 1 \) mm thick separated by a \( 20 \) mm core. Compared with the two sheets laminated together, its bending stiffness is roughly

  • A.Twenty times greater
  • B.Twice as great
  • C.About the same
  • D.Two hundred times greater

Answer: D

For the sandwich, \( I \approx 2At^2/4 \) with the sheets \( 21 \) mm apart, giving about \( 2 \times 1 \times 10.5^2 = 220 \) mm\( ^4 \) per mm width; laminated together the 2 mm section gives \( 2^3/12 = 0.67 \). The ratio is of order two hundred, which is why sandwich construction is used wherever stiffness governs.

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