Question
Download Solution PDFNotch sensitivity factor (A) is related as [A = Notch sensitivity factor, B = Theoretical stress concentration factor, C = Fatigue stress concentration factor]
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Notch sensitivity:
Notch sensitivity is defined as the susceptibility of a material to succumb to the damaging effect of stress raising notches in fatigue loading
\({{q}} = \frac{{{{increase}}\;{{of}}\;{{actual}}\;{{stress}}\;{{over}}\;{{nominal}}\;{{stress}}}}{{{{increase}}\;{{of}}\;{{theoretical}}\;{{stress}}\;{{over}}\;{{nominal}}\;{{stress}}}}\)
Key Parameters:
- A = Notch Sensitivity Factor
- B = Theoretical Stress Concentration Factor (Kt)
- C = Fatigue Stress Concentration Factor (Kf)
actual stress = Kf σo, theoretical stress = Kt σo
where, σo = nominal stress, Kf = actual stress concentration factor Kt = theoretical stress concentration factor.
Increase of actual stress = (Kf σo - σo)
Increase of theoretical stress = (Kt σo - σo)
\({\bf{q}} = \frac{{\left( {{{\bf{K}}_{\bf{f}}}{{\bf{\sigma }}_{\bf{o}}}\; - \;{{\bf{\sigma }}_{\bf{o}}}} \right)}}{{\left( {{{\bf{K}}_{\bf{t}}}{{\bf{\sigma }}_{\bf{o}}}\; - \;{{\bf{\sigma }}_{\bf{o}}}} \right)}} = \frac{{\left( {{{\bf{K}}_{\bf{f}}}\; - \;1} \right)}}{{\left( {{{\bf{K}}_{\bf{t}}}\; - \;1} \right)}}\)
⇒ C = 1 + A [B - 1]
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