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A spectrum applies cycle ratios of \( 0.30 \) and \( 0.45 \) at two stress levels. By Miner's rule the remaining life fraction is

  • A.0.55
  • B.0.25
  • C.0.75
  • D.0.15

Answer: B

Correct answer: 0.25

Miner’s rule sums the damage fractions and predicts failure when they reach unity: \[ 0.30 + 0.45 = 0.75, \qquad 1 - 0.75 = 0.25. \] A quarter of the life remains. The rule is linear and takes no account of the order in which the levels are applied, which is its principal limitation.

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