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Assertion (A): The fatigue notch factor equals the theoretical stress concentration factor.

Reason (R): The theoretical factor is a purely elastic, geometric quantity.

Select the correct answer from the options below.

  • A.Both A and R are true, and R is the correct explanation of A
  • B.Both A and R are true, but R is not the correct explanation of A
  • C.A is true but R is false
  • D.A is false but R is true

Answer: D

The assertion is false and the reason is true. Local plasticity and the steep stress gradient at a notch root mean the material does not feel the full elastic peak, so the fatigue factor is smaller, related to the elastic one through the notch sensitivity.

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