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  • Pistol Ballistics

    This is my $0.02 and analysis, based on teaching anatomy & physiology and years as a hunter/shooter.

    A lot of arguing has gone on over "stopping power" of various handgun cartridges, most of it centered around the notion of hydrostatic shock, remote damage to tissues caused by a shock wave generated by the bullet.

    Some have argued that damage was limited to a few inches from the bullet track, while others claimed that the damage from a torso hit could extend into the brain due to hydraulic effects in the circulatory system - the blood in major vessels is compressed, causing dangerously high pressures in the cerebral blood vessels.

    Now we have some answers thanks to instrumented tests done in the UK and Europe. The tests were done on various large critters of human masses. The animals had pressure sensors implanted in their blood vessels, tissues etc., then after being shot necropsies were done that included microscopic analysis of the brain tissues.

    Results: damage to the brain from a torso gunshot wound is very real, and potentially lethal. The degree of this damage done depends on the cartridge, velocity and bullet construction, of course. Some of the induced brain damage was equivalent to a mild concussion, and it intensified in severity with the intensity of the bullets pressure wave to the point that it actually caused a cerebral haemorrage - a stroke - and near immediate incapacitation. Again, this from a torso hit.

    The below graphic shows how likely various compression wave intensities were to transmit enough energy to the brain to cause damage. Pressures below 500 psi caused little or moderate damage, while those above 1,000 psi were likely to cause serious brain damage.



    The below graph from a different study shows the pressure wave intensities for three common hangun loads; the 9 mm Parabellum, the .357 SIG and the .40 S&W. Note that the 9 mm peaks at just under 500 psi; the .357 SIG at 1.100 psi; and the .40 S&W at almost 1,700 psi.



    The 9mm is widely used, but given these tests one wonders about its real vs. perceived effectiveness. The .357 SIG is used by the US Air Marshals, and the .40 S&W was developed for the FBI, and it is the cartridge most used by US law enforcement. Their confidence in both of these cartridges seems very justified. For the record, I use the .40 S&W.

    And to give a visual impression of what the wound tracks would look like for these and the workhorse .45 ACP, the below pic shows shots fired into ballistic gelatine - which accurately simulates human tissue. A wider track is indicative of a more intense pressure wave, and a shorter track indicates that all the bullets energy will be expended within the target. More penetration is, however, better if there is heavy clothing etc. It's all compromise. For reference; the speed of sound at 68°F and dry air is 1,126Â*ft/s.
    Last edited by Dr Mordrid; 30 March 2011, 19:27.
    Dr. Mordrid
    ----------------------------
    An elephant is a mouse built to government specifications.

    I carry a gun because I can't throw a rock 1,250 fps

  • #2
    I am confused. The first graph plots a relationship between time and pressure where it seems to me the red line is of an iso-type (that is, the third variable is constant accross that line)? The time one must suffer the pressure to become incapacitated I think. Then, the vertical lines show for which combinations of time and pressure, how likely brain damage is to occur.

    The second graph shows how pressure develops over time from various shots. But the time axis is in milliseconds and I assume after 0.5 second the reulting PSI would be zero? I see no way these ballistic tests can be combined with the first graph for interpretation.
    Join MURCs Distributed Computing effort for Rosetta@Home and help fight Alzheimers, Cancer, Mad Cow disease and rising oil prices.
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    • #3
      Je ne comprends rien!

      1) if pressures as stated were in any blood vessel, it would disintegrate within picoseconds, >100 bar????? Dammit, my reinforced garden hose is tested to only 10 bars!!!!!

      2) what is defined as the "torso"? The transfer of energy from the round to the body tissue would be enormously variable because the impedance matching would change from, say, liver to lung (which I imagine would be the two extremes, assuming soft tissues only)

      3) the transmission of shock waves would also vary in different types of tissue (amplitude and rate)

      4) the risk of actually striking a major blood vessel would be higher in the upper torso than in the lower.

      5) the first graph is almost meaningless to me. The blue lines obviously represent min, max and calculated mean but the conditions of obtaining them are absent. Obviously there is also a missing parameter: pain, which may be more incapacitating than organic damage.
      Brian (the devil incarnate)

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      • #4
        Graph 1:

        Verticle axis is time to incapacity

        Horizontal axis is shockwave psi from all sensors

        Vertical blue lnes represent cartridge loads, with their length representing various times to incapacity. There are more 500-1000 psi results because there are more medium pressure loads on the market. Each loads time to incapacity can vary because of type - ex: .40 S&W is sold with several JHP bullet designs.

        Low pressure loads would be the .22 rimfires, .25 Auto, etc. Medium pressure loads would be .38, .380 ACP, 9 mm Parabellum, etc. High pressure loads would be the FN 5.7 mm, .357 SIG, .40 S&W, .45 ACP, etc.

        Graph 2:

        Vertical axis is pressure in psi

        Horizontal axis is time, with a very short duration shown because of the speed of the events.

        Pressures remain non-zero because the heart hasn't stopped, so at a minimum the diastolic pressure remains - and this causes pressure in both vessels and tissues. Oscillations in the blood & tissue make the pressure unstable and even negative (wave trough), but if you look closely it trends down and stabilizes over time.

        Impact points, as well as respiratory phase, were consistant. My wording was unclear: impact points were thoracic.

        BTW: thoracic anatomy is mostly vascular with numerous large branching blood vessels, so generating a large vascular pressure wave there is not a problem.

        Also, animal impact trajectories during tests like these are usually transverse, and in that direction tissue density variations are far less pronounced than in the anterior thoracic view. This is not inconsistant with real human wound data; very often impacts are transverse or oblique and not face-on. Face on you see in cowboy fiction and those using a 2-handed grip like cops & trained shooters bracing for combat. A distinct majority tend to be oblique or sideways, shooting 1-handed or turning to evade.
        Last edited by Dr Mordrid; 31 March 2011, 08:18.
        Dr. Mordrid
        ----------------------------
        An elephant is a mouse built to government specifications.

        I carry a gun because I can't throw a rock 1,250 fps

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        • #5
          This is all just to justify Doc packing that girly .40 when a real man would pack his Desert Eagle.
          Chuck
          秋音的爸爸

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          • #6
            I already have a Desert Eagle (.50 AE), a S&W Model 500 (.500 mag), and a Thompson Center Contender (45-70 Govt.) I much prefer carrying something more compact than the field artillery used for hunting bear, deer, hogs etc. Next big bore is a .45 ACP full-size X-Change kit for the SIG P250. It's on order.

            Next theory....
            Last edited by Dr Mordrid; 31 March 2011, 12:45.
            Dr. Mordrid
            ----------------------------
            An elephant is a mouse built to government specifications.

            I carry a gun because I can't throw a rock 1,250 fps

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            • #7
              Doc I know you have a Desert Eagle.
              It was a joke.
              Chuck
              秋音的爸爸

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              • #8
                It's no joke when you try to CC a hand cannon on a normal belt & end up with your pands down 'round your ankles
                Dr. Mordrid
                ----------------------------
                An elephant is a mouse built to government specifications.

                I carry a gun because I can't throw a rock 1,250 fps

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                • #9
                  That's what made it a joke
                  Chuck
                  秋音的爸爸

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