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Some Insight into CASE HEAD EXPANSION more charts
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When I run a test and measure extractor groove expansion and estimate the pressure with Quickload I get:
223: 74.5 ~ 86.5 kpsi
308: 73~ 78 kpsi

When you assume 65.3 ksi yield for cartridge brass and do a three dimensional von Mises calculation you get:

223: 86 ~ 92 kpsi, nom 88.8 kpsi
308 [Mauser] 77 kpsi

When I do a Lame's thick wall stress calculation with the primer pocket and extractor groove I get:

Lame's thick wall stress formula
S=P(R2^2 +R1^2)/(R2^2 - R1^2)
S = P[ OD OD + ID ID] /[OD OD - ID ID]
P [223] = .57 S
P [308] = .58 S

When I do a Lame's thick wall stress calculation with the INSIDE of the PRIMER and the RIM I get:
P [223] = ..76 S
P [308] = .7625 S

The combination of the groove, the rim, and the case head will average closer to the rim than groove numbers

The bolt face ejector slot is making a mark on the case at lower pressures than the extractor groove, so the axial stress cannot be ignored.

The highest yield strength for cartridge brass I can find is 87 ksi:
http://www.technicalmaterials.com/metal_prop/brass.html

Just looking at Lame's formula in the rim, with the highest brass strength, I get:
P [223] = .76S = .76 87k = 66 kpsi
P [308] = .7625S = 66.33 kpsi

And those numbers will only get smaller when I average with the groove and somehow add the axial stress.

I would like to believe the Lame's thick wall formula has some validity but I see cracks not on on the inside diameter in my 308 brass but radially:
picture of my 308 brass failing

How do you do a von Mises calculation?
 
Posts: 2249 | Registered: 27 February 2001Reply With Quote
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Here are the von Mises stresses for the case head at the web and the extractor groove OD.

These calculations estimate the reduction in thrust force due to case stretching.

I have included (on the far right) a column which indicates which area, primer pocket or case web, should yield first.



ASS_CLOWN

PS - Clark, I will email the basic formula's for von Mises theory of combined stress effect.
 
Posts: 1673 | Location: MANY DIFFERENT PLACES | Registered: 14 May 2004Reply With Quote
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