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bullshop
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chart for calib, twist rate, bullet length.
Aug 3rd, 2023 at 5:51pm
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I will probably end up feeling stupid for asking this but feeling stupid is not new to me and I am ignorant as well.
Is there an available chart or information source that lists calibers and rifling twist rates and the maximum bullet length for those calibers and twists ?  I hope I said that right so its not too confusing.  What I would like is an easy look up chart that lists those things.   For instance say I have three 40 caliber rifles        ( I wish) one with 20" twist one with 18" and one with 16" twist and I get a new 40 caliber mold that drops a bullet at 1.315" length.  I would like to have a chart to quickly check to see which of those rifles may be best suited to that new bullet.  Is there such a chart and if so how to access it ?  OK fire at will !
  
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Schuetzendave
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Re: chart for calib, twist rate, bullet length.
Reply #1 - Aug 3rd, 2023 at 6:12pm
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Basically you are asking the information that indicates when a bullet is too long for a barrel twist resulting in it not spinning fast enough to have a gyroscopic stability factor (Sg) of 1.4 or less.

Too much information to put into a chart so instead there is the Don Miller gyroscopic stability calculator that will determine your gyroscopic stability factor.

The Don Miller formula is a major improvement of the original Greenhill formula.

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« Last Edit: Aug 3rd, 2023 at 8:07pm by Schuetzendave »  
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curdog
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Re: chart for calib, twist rate, bullet length.
Reply #2 - Aug 3rd, 2023 at 6:13pm
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Wouldn't it be just as quick to punch the numbers into one of the online Greenhill calculators? That would take the velocity into account as well.
  
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Schuetzendave
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Re: chart for calib, twist rate, bullet length.
Reply #3 - Aug 3rd, 2023 at 6:21pm
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Caliber      0.408      Inches            
Bullet Weight      380      Grains            
Bullet Length      1.315      Inches            
Barrel Twist      20      Inches/turn            
muzzle velocity      1250      fps            
Temperature      50      degrees Fahrenheit (59 is standard)            
Pressure      29.92      inches of mercury (29.92 is standard)            
                       
Sg =      1.43      


Caliber      0.408      Inches            
Bullet Weight      380      Grains            
Bullet Length      1.315      Inches            
Barrel Twist      18      Inches/turn            
muzzle velocity      1250      fps            
Temperature      50      degrees Fahrenheit (59 is standard)            
Pressure      29.92      inches of mercury (29.92 is standard)            
                       
Sg =      1.76            

Caliber      0.408      Inches            
Bullet Weight      380      Grains            
Bullet Length      1.315      Inches            
Barrel Twist      16      Inches/turn            
muzzle velocity      1250      fps            
Temperature      50      degrees Fahrenheit (59 is standard)            
Pressure      29.92      inches of mercury (29.92 is standard)            
                       
Sg =      2.23                  
                       
Sg shouldn't be less than 1.4 (not enough spin - use shorter bullet).  If Sg is greater than about 2.0 (overspinning bullet), you may gain some accuracy by going to a slower twist barrel or use a longer bullet.                        
     
I use a 410 grain bullet in my 14:1 twist .40 caliber rifles.            
  
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Dellet
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Re: chart for calib, twist rate, bullet length.
Reply #4 - Aug 3rd, 2023 at 6:25pm
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It’s kind of a rabbit hole subject, but because I have a perverse sense of humor, I’ll post this link. The numbers are based on the Greenhill formula, so if anything thing will be conservative. As in a spitzer shape will require less twist, or can be longer than the chart shows.
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I prefer a drag calculator, something you can enter a specific shape. But that makes a chart impossible. This one is one of the better free/online calculators. 

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If you look at the bullet in the calculator and compare what the chart says, you can see the difference. 

From the calculator that bullet will be fine out to 4-500 yards with a 1/20 twist. Greenhill says 1/16-17. Probably be good for a thousand yards or more.
  
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Schuetzendave
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Re: chart for calib, twist rate, bullet length.
Reply #5 - Aug 3rd, 2023 at 6:32pm
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Problem with the Montana chart it does not include velocity and there is a major difference for high power velocity rifles of around 3,000 fps versus the 1,100 to 1,300 fps for BP rifles.

Most bullet drag calculators are only designed for high power velocity rifles and they do not actually calculate the gyroscopic stability factor. 
They assume an Sg of 1.5 in the calculation of most bullet drag calculators.

So you should determine your gyroscopic stability factor independently. 


Then to assess dynamic stability use the drag calculator for a second assessment but be aware they are not designed for slow velocity rifles using flat base bullets (or ensure the calculator you are using was designed for slower velocities and flat base bullets).

« Last Edit: Aug 3rd, 2023 at 8:08pm by Schuetzendave »  
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Dellet
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Re: chart for calib, twist rate, bullet length.
Reply #6 - Aug 3rd, 2023 at 7:21pm
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Schuetzendave wrote on Aug 3rd, 2023 at 6:32pm:
Problem with the Montana chart it does not include velocity and there is a major difference for high power velocity rifles of around 3,000 fps versus the 1,100 to 1,300 fps for BP rifles.

Most bullet drag calculators are only designed for high power velocity rifles and they do not actually calculate the gyroscopic stability factor. 
They assume an Sg of 1.5 in the calculation.


The disclaimer for the chart pretty much says it’s useless and why, it does tho provide a quick and easy starting point for velocities normally associated with black powder velocities, and it’s one of the few that someone took the time time try and help people out with.

A drag calculator like the one linked is what I prefer for quick and easy minimum twists. Part of that reason is it provides the twist needed from basically 500-3000 fps. Mach .5-3. The other thing that makes it handy is the use of measurements instead of calibers. Generally much easier for someone to use just starting to explore all the factors of stability. He also has a stability calculator, but it’s just the same information in graph form.
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It’ has easy access, is quick, simple and free. If you know of another something else that has those qualities, by all means post it, and I will recommend that instead.

The problem with the Miller formula is, in the words of Walt Berger and Brian Litz, is that it simply does not work for flat based bullets and to refer to their actual tested results instead of the calculator they provide for their own bullets.

If a person is interested enough to need to know the advantage that a 15 twist has over a 16 or 1.9 sg over 1.5 sg, they are probably ready and willing to invest in what’s needed to figure it out.

Sorry I can’t seem to be able to keep up with your edits.
  
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Schuetzendave
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Re: chart for calib, twist rate, bullet length.
Reply #7 - Aug 4th, 2023 at 7:37am
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Litz and others who demonstrate the Miller formula is not valid using bullet design shapes (criteria for assessing dynamic stability) are absolutely correct in stating it is not a ballistics program or a dynamic stability program or a bullet drag program.

But the Miller calculation is only designed to determine "Gyroscopic Stability".

And the Miller formula is very good at calculating "Gyroscopic Stability".

So most people want to know the long range stability of their bullets and they need to assess dynamic stability so they attempt to use ballistics programs and ignore the need to first assess if your bullet is gyroscopically stable.

Ballistics or dynamic stability or bullet drag programs ASSUME you are using a gyroscopically stable bullet.

So you need to calculate gyroscopic stability first to ensure you have a gyroscopic stable bullet  before using these ballistic programs.

Basic Ballistics: You must first have gyroscopic stability before you can ever achieve dynamic stability.

So in my discussions I always start with assessing gyroscopic stability first before you can start assessing dynamic stability of your bullet.

Once you know your bullet is gyroscopically stable you can start using ballistics programs.

But be very careful doing so since most of them were designed for high power rifles with jacketed bullet designs and have limitations trying to evaluate our slow moving cast bullets with totally different bullet shapes.

Immediately jumping to a ballistics program and believing it's output is actually meaningless if your bullet is not gyroscopically stable.

Unfortunately many people do not understand the difference between gyroscopic stability and dynamic stability and the different factors needed to assess each of them.

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« Last Edit: Aug 4th, 2023 at 9:06am by Schuetzendave »  
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Dellet
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Re: chart for calib, twist rate, bullet length.
Reply #8 - Aug 4th, 2023 at 9:34am
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For all the reasons listed above, is why I prefer to use a calculator that allows specific bullet inputs. JBM is a well known and trusted source. He has a quick and dirty stabilization calculator that uses the Miller formula and that calculation matches what you posted for your bullet, result is attached below. 

JBM also has a drag and twist calculator that allows bullet specific inputs. The problem is those inputs are cumbersome, such as bullet nose length listed as calibers. A .408” bullet with a .500” nose would have an input of .050”

The calculator I have referenced from Geoffrey Kolbe simplifies the same drag/twist formula by allowing measurements. 

The reason I prefer the drag calculator is that after making the inputs, a profile of the bullet is produced and you can compare to the bullet you are using, is it a reasonable match? 

Then chose bullet density, this allows for bullet construction. Cast, jacketed, monolithic whatever you shoot.

Sadly you can not include lube grooves. So the center of gravity and pressure will be off, tho not as much as assuming a boattail as the Miller formula does.

I used your, (Shuetzendave) basic bullet information, diameter, length, weight and changed inputs until the calculated inputs reasonably matched the weight. Those screen shots are also below. I am sure the bullet profile is different, without measurements, it’s a guess.  

The truth will be somewhere in between the generated numbers. But if you take the time and input the numbers of many bullets that people use successfully, you will likely find the Kolbe calculator is much closer than the Abbreviated Miller formula. It also explains why every time this subject comes up, many people chime in and say, my bullet is longer and is perfectly stable.

Basically all these online calculators use the same formula, Kolbe seems to have simply tweaked it to allow measurements by inch instead of by caliber or diameter.
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bullshop
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Re: chart for calib, twist rate, bullet length.
Reply #9 - Aug 4th, 2023 at 11:00am
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Wow!   I will have to read this several times and still wont comprehend it entirely.    I guess the information is all there but at least for me its far from simple.
I am good with averages and then work out the fine details by shooting.  All I am looking for is a simple chart that on average will give me a maximum bullet length for my caliber and twist. For instance I have a Sharps rifle in 45 caliber that has a 1/20" twist. I also have over 80 45 caliber molds ranging in bullet weight from 180 grain to 600 grain.  When choosing the longest bullet for that rifles I need a simple guiding chart that may work on averages of bullet shape and velocity to quickly and easily help me make the right choice.  Apparently there is no such thing and also apparently I am the only person that has ever desired such.  Yup I was right I do feel stupid and likely for good reason.
  
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frnkeore
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Re: chart for calib, twist rate, bullet length.
Reply #10 - Aug 4th, 2023 at 12:51pm
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I had been promoting the Goffrey-Kolbe ballistic program for over 11 years.

I had been the best available program to solve twist rates that I could find and fit experiments that I had done, way back in the mid '80's.

Three things I like most about this program, is that it deals with the velocity range, for PB bullets (that big dip), what the CG does to stabilization and it helps to understand what happens in the trans sonic velocity range.

Here is a thread from 10.5 years ago:

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bullshop
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Re: chart for calib, twist rate, bullet length.
Reply #11 - Aug 4th, 2023 at 3:47pm
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Thanks to all !  I now have things to use that are helpful.
  
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art_ruggiero
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Re: chart for calib, twist rate, bullet length.
Reply #12 - Aug 6th, 2023 at 12:12pm
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use the length of bullet that matches the gov.  500 gr.  trapdoor bullet   art
  
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Schuetzendave
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Re: chart for calib, twist rate, bullet length.
Reply #13 - Aug 6th, 2023 at 1:23pm
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Paper on "Control of exterior ballistic properties of spin-stabilized bullet by optimizing internal mass distribution"


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Paul Jones would cut deep and wide grease grooves in his bullet moulds to move the center of gravity forward.
He was optimizing the internal mass distribution.
Most shooters thought the PJ grooves were for more bullet lube but they failed to understand he was also improving the variables that affect dynamic stability.

Many shooters believed the increased drag from the larger grease grooves would impact the dynamic stability.

However the increased nose deflection and increased yaw resulting from a less ideal center of gravity has more impact on the dynamic stability than the increased drag from the grease grooves.
« Last Edit: Aug 6th, 2023 at 1:37pm by Schuetzendave »  
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bullshop
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Re: chart for calib, twist rate, bullet length.
Reply #14 - Aug 6th, 2023 at 7:25pm
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Thank you Mr. Schuetzendave but that is a wee bit over my head.
Those other charts work for me as a general guide and are simple enough that even I can use them.  Mama says simple is as simple does.
  
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