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A beam section has \( I = 5.4 \times 10^7 \) mm\( ^4 \) and carries \( 40 \) kN m. The stress at a point \( 150 \) mm from the neutral axis is nearest to

  • A.111 MPa
  • B.56 MPa
  • C.222 MPa
  • D.74 MPa

Answer: A

Substituting into \( My/I \) in newtons and millimetres, \( (40 \times 10^6 \times 150)/(5.4 \times 10^7) = 6 \times 10^9/5.4 \times 10^7 = 111 \) MPa. For a common aluminium alloy this leaves a reasonable margin against yield.

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