The notch sensitivity q is expressed in terms of fatigue stress concentration factor Kf and theoretical stress concentration factor Kt as

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UPPSC AE Mechanical 2019 Official Paper I (Held on 13 Dec 2020)
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Explanation:

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

actual stress = Kf σo, theoretical stress = Kt σo

where, σ= 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)

Additional Information

Theoretical stress factor (Kt) can also be calculated from the figure if irregularities dimension is given-

where a = Semi-major axis perpendicular to the direction of load and b = semi-minor axis parallel to the direction of load.

For sharp crack:

B → 0 ∴ Kt = ∞

For circle:

A = B

∴ Kt = 3

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