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A cycle of amplitude \( 40 \) MPa at zero mean has a life of \( 10^6 \) cycles. Adding a tensile mean stress will make the life

  • A.Exactly a million cycles
  • B.Infinite
  • C.Shorter than a million cycles
  • D.Longer than a million cycles

Answer: C

Correct answer: Shorter than a million cycles

Adding a tensile mean stress to a cycle of the same amplitude always shortens the life, because the crack spends more of the cycle open. The Goodman relation gives the size of the effect: the permissible amplitude falls roughly linearly as the mean stress approaches the ultimate strength.

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