Calculate the fatigue stress concentration for a steel filleted shaft that is loaded axially. Given Data:...

Calculate the fatigue stress concentration for a steel filleted shaft that is loaded axially.

Given Data:

Sut = 690 MPa

D (for larger cross-section) = 54 mm

d (for smaller cross-section) = 40 mm

r(fillet radius) = 3 mm

Solutions

Expert Solution

Ratio of max dia to min dia, D/d = 54/40 = 1.35

Ratio of radius of fillet to min dia = r/d = 3/40 = 0.075

At D/d = 1.35 and r/d = 0.075; K_t=1.90 where K_t is the theoretical stress concentration factor. Now to consider the fatigue, we have to use the notch sensitivity formula, K_f = 1 + q(K_t-1) where Kf is the fatigue stress concentration factor and q is the notch sensitivity.Here q = 0.85 (3mm radius and 0.7GPa).

Therefore, the value of K_f = 1 + q(K_t-1) = 1 + 0.85(1.90-1). Therefore, K_f =1.765

samet mamat answered 1 year ago

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