christoph,
You are correct that fatigue is a function of root radius. But, according to V. Kagan in ASTM STP 1236 Structural Integrity of Fasteners:
K &[ignore]prop[/ignore]; (P/R)0.5
where
K = stress intensity factor
P = pitch
R = thread root radius
Using M10 x 1.5 (Rmin = 188 &[ignore]micro[/ignore];m) and M10 x 1.0 (Rmin = 125 &[ignore]micro[/ignore];m) as examples:
Kp=1.5 = 2.82
Kp=1.0 = 2.83
Fatigue crack propagation rate (da/dN) is a function of stress intensity:
da/dN = C Km
For martensitic steels, m ~ 2.25, therefore:
da/dNp=1.5 = 10.34
da/dNp=1.0 = 10.37
Which is less than a 1% difference.
Also, according to ASTM STP 1236 & 1391, thread root radius only affects stress intensity factor if a/D < 0.02, so once the crack depth exceeds 2% of the minor diameter, neither pitch nor root radius matter.
The way that thread pitch really affects fatigue life is due to the fine thread's larger stress area. This allows higher preload, which reduces additional bolt stress from external forces. Also, the larger stress area will require more cycles for a crack to progress across it, assuming equal crack propagation rate.
Regards,
Cory
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