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Why Boolit Diameter Matters or what is TKO

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  • W.R.Buchanan
    Veteran Member
    • Jan 2008
    • 3379

    Why Boolit Diameter Matters or what is TKO

    I am going to introduce you guys to the reason why I harp on .44's and .45's so much here. Nothing wrong with a .357 or 9MM that a couple more rounds on target won't cure. But Bullet/Boolit Diameter does matter.

    In order to Quantify that for you we use a Century Old formula called the Taylor Knockout Factor or TKO for short. It was invented by a Great White Hunter named John "Pondoro" Taylor(1904-1969) He killed literally thousands of African Big Game animals and thus became an expert on the subject of larger caliber rifles and like Elmer Keith became accepted as "One Who Knows!"

    The Taylor Knock Out Formula is,,, Bullet Diameter X Bullet Weight in Grains X Velocity / 7000

    This will yield a "number" (TKO) which will be used to compare to other bullets.

    Here's a link to a nifty Calculator https://www.vcalc.com/wiki/taylor-knock-out-factor

    It effectively shows how a larger diameter bullet transfers more of it's energy to a target than a Smaller Faster bullet does, and even though the Smaller Bullet may have more Ft/Lbs. of energy, it can't transfer that energy to the target as efficiently as the larger bullet.

    Lets compare a few bullets so you can see what is going on here.

    .357 Mag to .44 Mag in a Pistol..

    .358 x 158 x 1500 / 7000 =TKO 12.1
    .429 x 250 x 1300/ 7000 = TKO 19.9

    Not that big a difference? Lets Jack Up the Speed to Rifle Velocity's.

    .357 @ 1900 = TKO 14.5,,, .44 @ 1800 = TKO 27.6 almost double.

    I can easily get 1800 fps out of my 1894CB 24 .44 Mag.

    Now for reference .30-30 WCF .308 x 170 x 2000 = TKO 15.0

    So a .357 from a Rifle is close to having as much knockdown power as a .30-30? Even though the .30-30 has 1510 Ft/Lbs and the .357 only has 1266 ft/lbs.

    Lets go up to a .45-70 405 gr Boolit at 1800 fps,,, TKO 47.7 / 2913 Ft/Lbs

    .458 Win Mag 500 gr bullet at 2150 fps TKO 70.3 / 5131 ft/lbs

    12 ga. 1oz Slug at 1600 fps. TKO 71.2 / 2427 Ft/lbs ?

    So how can a 12 ga. Slug from a $300 Shotgun have more TKO than a .458 Win Mag with only half the Ft/lbs? Simple, the .458 Bullet goes all the way thru the animal and buries itself in the dirt beyond, effectively only delivering enough Ft/Lbs to the animal to get thru said animal. Whereas the Shotgun Slug dumps all it's energy into the animal on contact due to the larger Frontal Area of the Slug. The Frontal Area of the Slug is .418 Sq In. vs .164 Sq In for the .458 bullet. Or close to 3 X the Frontal Area for the slug.

    This is why all the Polar Bear Guides up North carry Shotguns with Brenneke Slugs as back up weapons for their clients instead of large caliber rifles..

    This is also the sole reason for Expanding Bullets,,, (which may or may not work as advertised),,, in an attempt to dump all the energy into the target?
    Larger Boolits don't rely on "Engineering" or "Specific Velocity Ranges" to perform, they simply make bigger holes and due to their larger "Frontal Area" transfer more energy to the target.

    It should be noted when talking about "Powerful Guns" that Brenneke makes a 1 1/2 oz. slug, traveling at 1604 fps with a TKO of 109!!! with 3800 Ft/Lbs of energy. It will take down anything on Planet Earth and if I was man enough to pull the trigger I could shoot them from one of my Mossberg 500's. (only once.) Might be more doable from a Savage 212? But either way it would be brutal!

    So I base my assertions of Proper Handgun Calibers all starting with a .4 on the TKO of any given load and the simple fact that bigger boolits make bigger holes!

    Hope this helps with understanding of the subject?

    Randy
    Last edited by W.R.Buchanan; 11-23-2023, 11:23 AM.
    Rule #1 Liberals screw up everything they touch.
    Rule #2 Whatever they accuse you of, they are already doing.
    Rule #3 Liberals lie about anything no matter how insignificant.
    Rule #4 If all else fails, they call you a Racist!

    It's not how well you do what you know how to do,,, It is how well you do what you don't know how to do.
    www.buchananprecisionmachine.com
  • #2
    hermosabeach
    I need a LIFE!!
    • Feb 2009
    • 19561

    People are not game- we are built differently....

    Momentum - Mass times velocity - gives penetration... Big shoulder bones of an Elk... you need to reach organs....

    So for an elephant to reach the brain, you need a big solid round....



    people are thin skinned and small boned...

    I would compare us more to varmints if looking at big game loads...




    Some say the hatcher formula is better when it come to stopping people....




    Thousands and thousands of people have been shot and the FBI has the data... shot placement is critical.... the hype to sell guns and gear is just hype....

    How many round per second can you get into the targets center of available mass?

    When armored, how quick can you realize that and switch to head or pelvis?
    Rule 1- ALL GUNS ARE ALWAYS LOADED

    Rule 2 -NEVER LET THE MUZZLE COVER ANYTHING YOU ARE NOT PREPARED TO DESTROY (including your hands and legs)

    Rule 3 -KEEP YOUR FINGER OFF THE TRIGGER UNTIL YOUR SIGHTS ARE ON THE TARGET

    Rule 4 -BE SURE OF YOUR TARGET AND WHAT IS BEYOND IT
    (thanks to Jeff Cooper)

    Comment

    • #3
      hermosabeach
      I need a LIFE!!
      • Feb 2009
      • 19561

      In our last two posts, we studied a couple of empirical formulae that were proposed by big-game hunters, the Taylor KO Factor by John "Pond...


      SNIP
      General Hatcher's original paper, he quotes the formula as RSP=M*A*F and prints a table of the calculated RSP values for a variety of common handgun bullet types. However, he calculates the momentum incorrectly as (kinetic energy/velocity), which ends up calculating a value of 1/2 of the actual momentum (since kinetic energy = 1/2 * mass * velocity2). He also incorrectly divides by g (acceleration due to gravity) when converting grains to lbs (no need to, because grains are a units of mass, not weight). Therefore I've updated the original formula to match the numbers on his original table and translated the equation to M/(2*g)*A*F.
      he values for bullet form factor for some bullet types are defined as:
      F Bullet Type
      700 Fully Jacketed Pointed
      900 Fully Jacketed Round Nose
      1050 Fully Jacketed Flat Point
      1100 Fully Jacketed Flat Point (Large flat)
      1000 Lead Round Nose
      1050 Lead Flat Point
      1100 Lead Flat Point (Large Flat)
      1000 Jacketed Softpoint (unexpanded)
      1350 Jacketed Softpoint (expanded)
      1250 Lead Semi-wadcutter
      1100 Hollow Point (unexpanded)
      1350 Hollow Point (expanded)
      Last edited by hermosabeach; 11-06-2023, 1:51 PM.
      Rule 1- ALL GUNS ARE ALWAYS LOADED

      Rule 2 -NEVER LET THE MUZZLE COVER ANYTHING YOU ARE NOT PREPARED TO DESTROY (including your hands and legs)

      Rule 3 -KEEP YOUR FINGER OFF THE TRIGGER UNTIL YOUR SIGHTS ARE ON THE TARGET

      Rule 4 -BE SURE OF YOUR TARGET AND WHAT IS BEYOND IT
      (thanks to Jeff Cooper)

      Comment

      • #4
        hermosabeach
        I need a LIFE!!
        • Feb 2009
        • 19561

        I will absolutely agree too small is bad...

        the 5.56 with 55 grain ball or worse green tip - makes a small hole...


        the 5.7 has been around since the 1990s... the real world results are MEH at best... if we could have sub guns, standard mags and AP ammo, then a burst of 4-8 works well on people wearing armor...

        but we cant so the 5.7 has really poor FBI data
        Rule 1- ALL GUNS ARE ALWAYS LOADED

        Rule 2 -NEVER LET THE MUZZLE COVER ANYTHING YOU ARE NOT PREPARED TO DESTROY (including your hands and legs)

        Rule 3 -KEEP YOUR FINGER OFF THE TRIGGER UNTIL YOUR SIGHTS ARE ON THE TARGET

        Rule 4 -BE SURE OF YOUR TARGET AND WHAT IS BEYOND IT
        (thanks to Jeff Cooper)

        Comment

        • #5
          LynnJr
          Calguns Addict
          • Jan 2013
          • 7958

          So getting hit by a train at 25 .mph is worse than a needle at 40 mph
          Lynn Dragoman, Jr.
          Southwest Regional Director
          Unlimited Range Shooters Association (URSA)
          www.unlimitedrange.org
          Not a commercial business.
          URSA - Competition starts at 2000 yards!

          Comment

          • #6
            Spyder
            CGN Contributor
            • Mar 2008
            • 17127

            What about the fun factor of rounds on steel targets, and the lower cost of 38 Special/9mm allowing more individual instances of fun = higher fun factor for the same initial and continuing investment?

            Comment

            • #7
              W.R.Buchanan
              Veteran Member
              • Jan 2008
              • 3379

              We are supposed to be talking "Terminal Ballistics" here ?

              The US Army did exhaustive testing on the 9MM versus the .45 ACP around 1904. They chose the .45 ! the only reason they switched to the 9MM is because of the cost of ammo and the guns were cheaper too.

              The idea that you can put more rounds on a target only means you have to carry more rounds because you have to shoot them more times to end the fight! This is counterproductive when shooting people, but it is downright dangerous when shooting big game that can kill you if you don't stop them..

              As far as Fun factor? That has nothing to do with this. You can have fun shooting steel targets with a .22 or a BB gun that costs even less.

              This is about Stopping Power and stopping power is what ends fights.

              That's why every Police Cruiser in our country has a Shotgun in it.

              I was trying to show how the TKO could be used to compare the Stopping Power of different rounds.

              Randy
              Last edited by W.R.Buchanan; 11-10-2023, 1:54 PM.
              Rule #1 Liberals screw up everything they touch.
              Rule #2 Whatever they accuse you of, they are already doing.
              Rule #3 Liberals lie about anything no matter how insignificant.
              Rule #4 If all else fails, they call you a Racist!

              It's not how well you do what you know how to do,,, It is how well you do what you don't know how to do.
              www.buchananprecisionmachine.com

              Comment

              • #8
                mej16489
                Veteran Member
                • Aug 2008
                • 2714

                Originally posted by W.R.Buchanan
                That's why every Police Cruiser in our country has a Shotgun in it.
                The beginning of the end of patrol shotguns was the North Hollywood bank robbery. I don't know the statistics, but I'd venture a guess that shotguns are the rare minority for patrol long-guns now.

                Comment

                • #9
                  tuna quesadilla
                  Calguns Addict
                  • Apr 2006
                  • 5147

                  Originally posted by W.R.Buchanan
                  That's why every Police Cruiser in our country has a Shotgun in it.
                  Gonna need a source on that wildly incorrect statement there, bucko.

                  Comment

                  • #10
                    tuna quesadilla
                    Calguns Addict
                    • Apr 2006
                    • 5147

                    As for the actual topic at hand--This TKO business is long-disproven junk science. Taylor was a prolific hunter, sure, but his TKO formula was just a way for him to justify using large-diameter bullets.

                    Look at the formula. As hermosabeach pointed out, it's just momentum*diameter.

                    Here's a fun calculation using the junk science that is TKO.

                    A common .243 Winchester load:
                    .243" * 95gr * 3000fps / 7000 = TKO of 9.894

                    A common .40 S&W load:
                    .400" * 165gr * 1100fps / 7000 = TKO of 10.371

                    An apple thrown at a typical Major League Baseball pitching speed:
                    3" * 2310gr * 132fps / 7000 = TKO of 131

                    You stated that TKO is a measure of the stopping power of different rounds. As we can see here using Taylor's method, it is definitively true that a hand-thrown apple is thirteen times more deadly to big game than a .243 Winchester fired from a rifle.

                    Very useful formula; thank you for sharing.

                    Comment

                    • #11
                      Spyder
                      CGN Contributor
                      • Mar 2008
                      • 17127

                      Comment

                      • #12
                        200Apples
                        -DVC- Mojave Lever Crew
                        CGN Contributor - Lifetime
                        • Dec 2011
                        • 7217

                        As we can see here using Taylor's method, it is definitively true that a hand-thrown apple is thirteen times more deadly to big game than a .243 Winchester fired from a rifle.

                        Ah! But an apple's mean effective diameter, or, it's caliber, falls FAR outside the usual range of the common hunting projectile. Taylor's formula remains genius! for the realm in which it was conceived to work.

                        This is why one should not face a grizzly charge armed only with an apple.

                        A queso-dilla is even larger. Do you feel lucky? lol.


                        .
                        "Get a proper holster, and go hot. The End." - SplitHoof

                        NRA Lifetime | Avatar courtesy Elon Musk's Twitter User SomthingWicked

                        Comment

                        • #13
                          tuna quesadilla
                          Calguns Addict
                          • Apr 2006
                          • 5147

                          Originally posted by 200Apples
                          Ah! But an apple's mean effective diameter, or, it's caliber, falls FAR outside the usual range of the common hunting projectile. Taylor's formula remains genius! for the realm in which it was conceived to work.

                          This is why one should not face a grizzly charge armed only with an apple.

                          A queso-dilla is even larger. Do you feel lucky? lol.


                          True indeed! But I'm no charlatan--I'm open-minded and willing to consider new evidence! Let's look at a .45 ACP vs the absolutely screaming .25-06 Remington (which nobody in their right mind would say is a poor choice for medium to large game).

                          .45 ACP:
                          .452" * 230gr * 850fps / 7000 = TKO value of 12.624

                          .25-06 Remington:

                          .257" * 100gr * 3300 fps / 7000 = TKO value of 12.116

                          There you have it, folks! Within the bounds of the TKO's philosophy of use, we have proof positive that .45 ACP fired out of a 1911 is more deadly to big game than the absolute organ-vaporizer that is .25-06 Remington!

                          Very cool!

                          Comment

                          • #14
                            tuna quesadilla
                            Calguns Addict
                            • Apr 2006
                            • 5147

                            Am I cherry-picking data to make the TKO look bad? Nope! Let's step up even farther from the .25-06 Remington. 7mm Rem Mag, loaded hot, is capable of dropping elk, moose, and certainly African big game as well.

                            Since we're sizing up the rifle round, let's similarly size up the pistol round for comparison here. I'm thinking... .50 GI? You know, the pistol round which is a .45 ACP sized up to take a .50" diameter bullet? TKO proves that big bullets are better, right?

                            .50 GI:
                            .500" * 230gr * 1000fps / 7000 = TKO value of 16.429

                            7mm Rem Mag:
                            .284" * 110gr * 3500 fps / 7000 = TKO value of 15.620

                            Hey, gosh, golly, gee-willikers! The TKO formula has once again proven that a 1911 pistol has more stopping power on big game than the absolute freight train that is a hot-loaded 7mm Rem Mag!

                            What a perfect formula!

                            Comment

                            • #15
                              200Apples
                              -DVC- Mojave Lever Crew
                              CGN Contributor - Lifetime
                              • Dec 2011
                              • 7217



                              Neigh! Thrice! hast thou made thy point...


                              We are defeated.
                              .
                              "Get a proper holster, and go hot. The End." - SplitHoof

                              NRA Lifetime | Avatar courtesy Elon Musk's Twitter User SomthingWicked

                              Comment

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