Some Insight into CASE HEAD EXPANSION more charts
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.htmlJust 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 failingHow do you do a von Mises calculation?
24 June 2004, 06:11
ASS_CLOWNHere 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.