Overbore
Published by Ninth Stage May 6th, 2008 in Ammo, Guns, Reloading.There’s a post over at Accurate Shooter about overbore cartridges with an accompanying chart purporting to list cartridges in order of their “overboreness”. I commented:
Volume/area is a poor proxy for “overboreness”. I haven’t thought it through yet but since a .50 bmg is basically a scaled up ‘06 it should equal a 30?06 in “overboreness”. It would serve us better to examine different methods that would reflect this.
I wasn’t too clear there so I thought I’d amplify here.
The way John L. calculated his table, in order of relative overbore, was by dividing the case volume (capacity in grains of water) by the bore area (Volume / 1/2dia.^2*Pi). You can see his numbers in the fifth column below. I realized as soon as I read the post that John had left something out. He was mixing volume with area, skewing large capacity cartridges towards being overbore. His method is missing a stand-in for the projectile.
It would be hard to find a standard bullet for each bore size and the design might vary enough that one couldn’t directly compare one to another in a different dia. So instead I just defined a slug, a cylinder, one bore dia. long (1/2dia.^2*Pi*dia.) as a stand-in that scales directly with bore dia. and divided that into the case volume (Volume / Slug). You can see the results below in column four. Understand that you could replace my slug with a bullet defined by it’s diameter (say a 8 dia. tangent ogive, 1/5 dia. meplat, 1-1/2 diameter long cylyndrical section, 3/4 dia. long boat-tail tapered to 2/3 dia. bullet) and get different numbers but the order would remain the same.
The Editor over at Accurate Shooter replied to my comment quoted above:
Editor: There may be better, or more sophisticated formulas we can develop. Looking at the Index Chart, I think John’s approach has merit for initial comparative purposes. It’s not the “final answer”, but it’s a good start in my mind.
Quote: “Since a .50 BMG is basically a scaled up ‘06 it should equal a 30-06 in ‘overboreness’.”
NOT True at all….
When comparing the 30-06 vs. 50 BMG, remember that the volume of a cylinder goes up with the SQUARE of the Radius of the column: pi*r2*h
This means that though the 50 BMG is only 1.406? longer, i.e. 56% longer, than a 30-06, it actually has VASTLY larger case capacity. The 30-06 has 68.20 grains of capacity, while the 50 BMG has nearly 300 grains! 300 grains is 440% of the 30-06 capacity! That’s why the 50 BMG can and should be considered much more overbore than the 30-06. The 50 BMG may look like a 30-06 clone but the ratio of length to Volume is WAY different.
30-06: 2.494? case length, 68.2 grains capacity
50 BMG: 3.900? case length, 293-300 grains capacityDATA from Quickload
Let’s examine the .30-06 and BMG then. If the .50 is 3.9″ long and the ‘06 is 2.494″ long then the .50 is 156% as long. Cube that, for volume, and you get 382% the VOLUME. So an ’06’s 68.2 grains expands to 260.7 grains, close to the .50’s 293-300, hmm. What about projectiles? With a .511″ dia. a .50 scales volumetrically as 457% larger than a .308. Divide 750 grains, a nice .50 cal bullet weight, by 4.57 and you get 164 grains, just about what you might expect a nice .308 bullet to weigh. We can see that a .50 BMG is not EXACTLY a scaled up ‘06 but damn it’s right in the neighborhood. And in my chart you’ll find that the ‘06 is more overbore.
Here is my table in order of overbore, less to more. Column four is my calculation and column five is John’s number for reference. Please note that I am using the term “bore diameter” where really it is groove diameter or better yet, projectile diameter. If I am still not clear please comment. BTW, the quart jug is listed for grins, would have to be 6″ long (at 3.5″ diameter) to hold a quart, and is as overbore as a .50 BMG by John’s calculation.
| Cartridge | H20 Capacity | Bore Dia. | Case Vol./ | Case Vol./ |
| (grains) | (inches) | Slug Vol. | Bore Area | |
| .458 Win | 94 | 0.4580 | 1245.8 | 570.6 |
| 30BR | 38 | 0.3080 | 1655.9 | 510.0 |
| 6.5 Grendel | 35 | 0.2640 | 2422.0 | 639.4 |
| .308 Win. | 56 | 0.3080 | 2440.3 | 751.6 |
| .50 BMG | 293 | 0.5110 | 2795.9 | 1428.7 |
| .338 Win. | 86 | 0.3380 | 2835.7 | 958.5 |
| 6mm PPC | 33 | 0.2430 | 2928.2 | 711.6 |
| 6×47 (old) | 33 | 0.2430 | 2928.2 | 711.6 |
| 30-06 | 68.2 | 0.3080 | 2972.0 | 915.4 |
| .222 Rem | 27 | 0.2240 | 3058.7 | 685.1 |
| 6.5×47 Lapua | 47 | 0.2640 | 3252.3 | 858.6 |
| 6BR | 37.8 | 0.2430 | 3354.2 | 815.1 |
| .220 Russian | 30 | 0.2240 | 3398.5 | 761.3 |
| .223 Rem | 30.2 | 0.2240 | 3421.2 | 766.3 |
| .300 WSM | 79 | 0.3080 | 3442.6 | 1060.3 |
| 6BR-DX | 39.5 | 0.2430 | 3505.0 | 851.7 |
| 6mm Dasher | 41 | 0.2430 | 3638.1 | 884.1 |
| .284 Win. | 66 | 0.2840 | 3668.6 | 1041.9 |
| .260 Rem. | 53.5 | 0.2640 | 3702.1 | 977.4 |
| 22 PPC | 32.8 | 0.2240 | 3715.7 | 832.3 |
| 6.5X55 | 57 | 0.2640 | 3944.3 | 1041.3 |
| .270 Win. | 66 | 0.2770 | 3953.8 | 1095.2 |
| 7mm SAUM | 73.6 | 0.2840 | 4091.0 | 1161.9 |
| .257 Roberts | 54.6 | 0.2570 | 4095.5 | 1052.5 |
| 6XC | 48.3 | 0.2430 | 4285.9 | 1041.5 |
| .257 Ackley | 60 | 0.2570 | 4500.5 | 1156.6 |
| 6.5-.284 | 66 | 0.2640 | 4567.1 | 1205.7 |
| 7mm Mag | 84 | 0.2840 | 4669.1 | 1326.0 |
| .243 Win | 54 | 0.2430 | 4791.7 | 1164.4 |
| 22-250 | 43 | 0.2240 | 4871.2 | 1091.1 |
| .25-06 | 66 | 0.2570 | 4950.6 | 1272.3 |
| .220 Swift | 48 | 0.2240 | 5437.6 | 1218.0 |
| .22-250 AI | 48 | 0.2240 | 5437.6 | 1218.0 |
| Quart Jug | 14000 | 3.5000 | 415.8 | 1455.1 |
A final comment: As I understand it, measuring water capacity of a case includes filling the case to the top of the neck. That can mess up these calculations since there is usually a bullet taking up some portion of the neck. In the case of the 6.5 Grendel, the bullet takes up a lot of the boiler room too. In the case of larger bore cases, the neck adds unused capacity at a greater rate than smaller bores. Just something to note if anyone wants to try to refine these measurements.
ADDED: Food for thought. The quart jug in the table above has about the same aspect ratio as a .22 Short. By John’s calculation, it is as “overbore” as a .50 BMG. Does that make any sense?

Thanks for this - it’s well done. Also congratulations for not flaming the Editor at Accurate Shooter who jumped on the opportunity to put foot in mouth.
My initial reaction to the Accurate Shooter post was skepticism also. While the method the author used almost seems intuitive, it’s probably more in the category of conventional wisdom.
Thanks for the kind words Josh. I like Accurate Shooter too much to want to flame anybody there. They do a heck of a job posting every day. I hope that the above post doesn’t come across too snarky either - I’ve misread others’ posts myself.
I share your respect for the Accurate Shooter site. It’s by far the best on the web. Unfortunately, like most firearm related publications - print or digital - it suffers from an occasional lack of technical sense. Today, the editor says:
“Also, a volume passing through an area can be equated to velocity if the time for the expansion is considered. A higher gas velocity, i.e., more burnt powder through a smaller bore, results in higher erosion rates. I think John L’s index is meaningful in this regard.”
The first sentence is surely correct if flow is subsonic, but I have no idea what the shock waves are like at a cartridge neck during combustion, and through a shock zone, velocity is always mach 1. The second sentence is an unfortunate example of repeating what others have written - that bore degradation is a result of partially burned powder and combustion gases eroding barrel steel, kind of like a silty river wearing away rocks on the bank. While this seems reasonable, I’ve never seen a scrap of data to support it. For many years I worked for DuPont, back when they manufactured propellant powders. One of the powder chemists told me then that bore erosion wasn’t a mechanical phenomena at all, that it was a chemical process. Combustion gases in an extremely hot, nitrogen-rich, atmosphere altered the chemical composition and mechanical properties of a tiny layer of surface steel, and this led to eventual microscopic spalling of the surface. Seems believable, but I’ve never seem published data there either.
Either way, Accurate Shooter seems firmly behind what’s probably a well-intentioned but maybe not too well thought out article. I guess it’s time to be quiet.
Well, I haven’t been quiet but everyone there has. Despite the editor saying, “It’s not the “final answer”, but it’s a good start in my mind”, he is obviously not interested in progressing beyond the start or even discussing an alternative. (not to mention his silly equating a mono dimensional change with a three dimensional change).
I’ll continue to sift through the regurgitated chaff (pressers and what he gleans from “the shooting wire”) but I have to say he’s lost some respect in my eyes.
I don’t want to flame anyone in online forums, but I did send this to the 6mmBR Editor. After thinking about it for a while, I’m convinced that you’re correct in adding a volumetric term to the ‘overbore’ index discussed on that Blog.
Editor:
I owe you an apology for attempting to take you to task for comments
which I thought you added to a post concerning your “Overbore”
Cartridges via Comparative Index” article. You pointed out that I
misinterpreted the comment, which was added by a reader, not the
Editor. Sorry.
You added that you found ‘Ninth Stage’s’ comments confusing. If
you’ll indulge me for a moment: All the various attempts to define
‘overbore’ use a fraction, with case capacity - a surrogate for the
amount of chemical energy in the system - as the numerator. The
numerator is in cubic inches
John L. and Rocky Rabb used bore cross-sectional area as the
denominator. Sounds good - that’s the size of the hole through which
the energy must escape. Denominator is in square inches, and resulting
index is in inches.
Ninth Stage used a volume in the denominator as a stand-in for
bullet mass. This represents inertia, or how fast the bullet can get
out of the way of expanding powder gases, or how fast the volume
available to combustion can increase. We do know that this affects
chamber pressure, and probably does change temperature also. Resulting
index has no units.
Everybody ignores powder energy content per grain (probably a
reasonable simplification), work done engraving the bullet (might be
significant), and, as you pointed out, several other (probably lesser)
factors.
So there are two theories ‘defining’ overbore: one divides energy by
the hole it must expand through, and the other divides energy by a very
rough approximation of the rate at which it can expand - how fast the
bullet can accelerate.
Let’s play with numbers. A 6BR can drive a 70 gr bullet at 3200 fps
in a 24″ barrel. Guessing uniform acceleration, the bullet sees an
average of 80,000 Gs. Sounds like a lot. That much acceleration puts
an inertial force of 800# on a 70 gr bullet - ignoring everything but
inertia. Does this sound reasonable? Well lets make another guess,
that the average pressure on the base of the bullet is 25,000 psi during
its 2 feet of travel. How much force does this mean on a .243 bullet?
Works out to 890#, pretty close to the first guess.
So we know the inertial forces at work here are pretty large,
especially since peak chamber pressures are around twice the average I
used. There are some simplifications here, but inertia is a major
factor (well, we already knew that didn’t we?), and it affects chamber
pressure. We also know that chamber pressure affects powder burning rate.
It seems reasonable to say that this 6BR cartridge with its 70 gr
bullet isn’t overbore - as long as we’re using RL-15, Varget or similar
powders. Our 3200 fps velocity comes from around a case full. It
certainly is overbore with H110 but maybe it wouldn’t be with a H110 and
a 10 grain bullet. It’s downright ‘underbore’ (?) with 4831. On this
basis, I’d say that any definition of ‘overbore’, as related to powder
capacity, must contain an inertial term - bullet weight. It needs some
qualification about powder too.
The above is just physics, but I’m a mechanical engineer, not a
chemist, so I’m guessing when I say that bullet inertia affects powder
burning rate, which affects powder combustion temperature, which affects
barrel life. Which means that an ‘overbore’ term defining barrel life
probably needs a bullet inertia term too. I’ll guess one step further,
that barrels are not eroded by being blasted by flaming powder grains,
any more than any hard surface is eroded by softer articles, but rather
barrel erosion is more sensitive to peak temperatures than anything else
(before anybody chews me out: rivers do not erode rocks, and lead laps
to not smooth barrel bores - it’s always the abrasives in the system
that do the cutting, not the conveying medium). Maybe you can scare a
chemist or metallurgist out of the website to add to this.
Again, my apologies for attributing a reader’s comments to you, and
again thanks for the website,
Josh Benin
Josh -
Thanks for the support. I’ve been thinking about this too. I’ll post again about this when my thoughts have coalesced further.