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Joined: Jun 2004
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Campfire Member
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OP
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Just curious, but is there a formula for converting CUP to PSI and vise-versa -Mike
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Joined: May 2005
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Campfire Ranger
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Campfire Ranger
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Yes and no, depending on who you want to believe. There was a thread on this in the Ask The Gruwriters section of the Campfire a while back. Converting CUP to PSI?
The key elements in human thinking are not numbers but labels of fuzzy sets. -- L. Zadeh
Which explains a lot.
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Joined: Jul 2003
Posts: 4,017
Campfire Tracker
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Campfire Tracker
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There is no direct conversion between the two.
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Joined: Jan 2001
Posts: 2,181
Campfire Regular
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Campfire Regular
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There is a highly correlated conversion between the two. The problem is the error introduced by each measurement system and anomalous outliers in the data which produces results limited by those discrepancies. http://www.shootingsoftware.com/ftp/psicuparticle2.pdfThe European CIP has been using a similar conversion for years.
You learn something new everyday whether you want to or not.
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Joined: May 2003
Posts: 31,240
Campfire 'Bwana
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Campfire 'Bwana
Joined: May 2003
Posts: 31,240 |
Our statistical/mathematic whiz denton almost has me convinced that he's cracked the conversion. But I ain't smart enough with cipherin' to argue it, so I have to take his word. Fortunately, denton's word is golden.
Cleverly disguised as a responsible adult.
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Joined: Apr 2006
Posts: 5,687
Campfire Tracker
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Campfire Tracker
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I have read that Shooting Times for September has an article on this subject by Dr. Ken Oehler, the same fellow who joined the gunwriters forum last week.
Sounds like a good question to me, why not ask him on the gunwriters forum? I might pick up a copy of this months magazine just to read it myself.
Will
Smellin' a lot of 'if' coming off this plan.
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Joined: May 2006
Posts: 36
Campfire Greenhorn
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Campfire Greenhorn
Joined: May 2006
Posts: 36 |
No formula that I know of. I checked several of my reloading books and they all said the same thing. DO NOT mix the 2 references and assume pressure loadings for reloading from that. Very dangerous to do. Stick to what the manuals say. Do not exceed mfg specs.
By happenstance I was re-reading some older reloader magazines and ran across another warning about that too.
HandLoader Magazine April 2004 Issue #228 pg 74 "Pressure Calculations"
"Over the last few years reloading pressure data for rifle, handgun and shotshells has slowly switched from copper units of pressure (cup) to pounds per square inch (psi). That has led to confusion. There is NO correlation between the two and no way to convert one to the other. Psi is a standard unit of measurement, while cup is only used as a ballistic measurement" - Allan Jones of Speer Bullets
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Joined: May 2003
Posts: 31,240
Campfire 'Bwana
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Campfire 'Bwana
Joined: May 2003
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Read what denton had to say HERE It's a PDF file, so you could save/print it if you desired.
Cleverly disguised as a responsible adult.
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Joined: May 2006
Posts: 36
Campfire Greenhorn
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Campfire Greenhorn
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Posts: 36 |
Good article. Lots of math involved but I understand the basis he was putting forth. Would I still follow it? Absolutely not! While I am not doubting his calculations per se, I will cede to the mfgs of the guns, powder manuals, etc on this point. They are after all the experts who built and rigorously tested their own products.
Have never understood the desire for people who cannot be bothered to ever read the mfg maint manuals about anything but are more than willing to do a little "backyard" tinkering of their own, in direct contradiction of it.
Be Safe. Play it by the established numbers. If you need to shoot that much faster, get a more powerful rifle caliber to do so, not try to make a volkswagon into a corvette.
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Joined: Jun 2004
Posts: 11,115
Campfire Outfitter
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Campfire Outfitter
Joined: Jun 2004
Posts: 11,115 |
HWGA <img src="/ubbthreads/images/graemlins/grin.gif" alt="" /> (Here We Go Again)
If SAAMI was right, and CUP and PSI are not convertible back and forth, then it is the first time in the history of the universe that two measurement systems that successfully measure the same thing cannot be converted to each other.
After I completed the article that has been referenced, I found that I was a few decades late. Dr. Lloyd Brownell, the U of M physics professor who published an extensive series of articles on pressure factors in Handloader in the late '60s and early 70's shows a curve for converting back and forth between PSI and CUP. So he was there first. And I believe it caused controversy then, too. But he was right. By an odd quirk of fate, he learned about strain gages at the same place, and from the same people I did: The Physical Measurements group at Tektronix.
The European equivalent of SAAMI has been converting back and forth for years.
If you'll take time to read the article, I think your questions will be answered. BTW, I made the most conservative math assumptions for the article. They work if you are converting a single pressure measurement from one system to the other. If you are converting a specification from one system to the other, the result is quite a bit more precise than what I indicated. I should probably have presented that instead, since that is the usual question.
In a few decades, the whole discussion will go away anyway. Both CUP and PSI will be regarded as quaint historical relics as we get on board with the rest of the world, and start doing our measurements in modern units.
Bottom line: If you're in the 38 CUP area, the spec conversion is good to within 1 KPSI or so. If you're out at the end of the curve, 28 CUP or 50 CUP, it's good to within about 2 KPSI. To a good approximation, for rifles, operating between 28 KPSI and 60 KPSI,
ANSI/SAAMI PSI = 1.51*ANSI/SAAMI CUP - 17,902.
Oh.. one more thing... in the article, I listed the cartridges I used, along with both their PSI and CUP ratings. I believe some of the cartridge names are wrong, but the PSI and CUP numbers match each other, which is all that matters.
Be not weary in well doing.
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Joined: Jan 2002
Posts: 12,836
Campfire Outfitter
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Campfire Outfitter
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Denton, I believe you would find Dr. Oehler's work in this area interesting. He references it in the current issue of "RIFLE SHOOTER", I believe. HTH, Dutch.
Sic Semper Tyrannis
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Joined: Aug 2006
Posts: 99
Campfire Greenhorn
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Campfire Greenhorn
Joined: Aug 2006
Posts: 99 |
Denton wrote: <The European equivalent of SAAMI has been converting back and forth for years.>
There are often wrong statements about differences between SAAMI and CIP standards.
CIP has never calculated back and forth between CUP and bars. Within the last decade the CIP measurement method has changed from copper crusher to piezo transducer. The gas port position has almost remained at 25 mm from breech for rifle cartridges (for smaller cartridges and pistol calibers the distance from breech is smaller). Some report CIP is locating the transducer at case mouth, which was never true. NATO and MIL standard use case mouth transducers. The change from CUP to tranducer pressure standard has led to much confusion by European shooters. Now the MAP for the 9 mm Luger was lowered from 2700 (CUP)bars to 2350 bars when using a transducer. But it is the same pressure. When you put in a tranducer barrel a reference cartridge and you get 2350 bars, the same cartridge will read 2700 CUP using a copper crusher. This will not be an absolut value , because the standard MAP's are rounded to the next 50 bars.
After using the new standard all pistol cartridges had "lower than CUP" figures and almost all rifle received "higher than CUP" MAP numbers. That's because the pistol copper cylinders have been smaller giving high readings, and the rifle types have been bigger while giving lower readings.
There is no formula or function to convert from CUP to psi, or from CUP to bars, but Dentons approximations might be useful then and when.
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Campfire Regular
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Campfire Regular
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I've seldom been involved in this senseless debate, but from a great explanation eons ago on another board, I'm certain it was Ken Howell who clearly explained the reason for the conversion not being possible. My recollection is that the progression of pressure in the transducer and strain gages is linear and that of the others is the antonym of that (don't recall my college math.) In any case, the crusher method is progressive in a different sense. The proof of that is that no one has yet ever posted a published a formula that worked; they say it's there but there is no proof. That's a good reason for this debate to be very boring and useless to me. I'd sure like to see Ken weigh in!
Used to be bobski, member since '01
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Campfire Outfitter
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Denton, I believe you would find Dr. Oehler's work in this area interesting. He references it in the current issue of "RIFLE SHOOTER", I believe. HTH, Dutch. Thank you. I'll bet I will. who clearly explained the reason for the conversion not being possible Give the article a whirl. See what you think.
Be not weary in well doing.
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