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A cylindrical fuselage of radius \( 2 \) m and skin thickness \( 1.6 \) mm carries a cabin differential of \( 55 \) kPa. The hoop stress is nearest to

  • A.17.2 MPa
  • B.68.8 MPa
  • C.34.4 MPa
  • D.137.5 MPa

Answer: B

The thin-shell hoop stress is \( pr/t = 55\,000 \times 2 / 0.0016 = 68.8 \times 10^6 \) Pa, that is 68.8 MPa. Against an aluminium yield near 300 MPa this leaves ample static margin, but it is the cyclic repetition of it that governs the design.

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