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A load history yields \( 500 \) cycles at a level with a life of \( 10^5 \) and \( 2000 \) at a level with a life of \( 10^4 \). The Miner sum is

  • A.0.025
  • B.0.500
  • C.0.105
  • D.0.205

Answer: D

Correct answer: 0.205

\[ \frac{500}{10^5} + \frac{2000}{10^4} = 0.005 + 0.200 = 0.205. \] The higher level dominates completely: four times as many cycles at a life ten times shorter contributes forty times the damage. This is characteristic of fatigue spectra, where a small number of severe cycles accounts for most of the life consumed.

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