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Reprinted With Permission Of leverguns.com
 
Is Your Bullet Weak Enough?

By: Ken Easterling

 
     With so many great moulds, casters, bullet makers, lubricants and great materials available, lead bullets have really come into their own. The art of shooting a lead bullet is such that every enthusiast can get great results from just a little bit of work. Now for the shooter who only looks to be putting holes in paper, this might not be for you, but you might pick something up as well.

     Let's start by looking at the base material, lead. Lead is an interesting material, cheap, plentiful, and rather weak in it's base state. Compared to other elements in the periodic table as well as manufactured materials, lead just doesn't stack up, but works great for. Now of coarse the lead the can be strengthened by adding various other materials to the "pot" as well as heat treatment (heat treatment works by aligning molecules such that they aid each other in strength, like building blocks).

  Ultimate Ultimate
  Compressive Tension
Material Strength (psi) Strength (psi)
Cast Aluminum 9,000 15,000  
Cast Brass 20,000 25,000  
Rolled Copper 32,000 33,000  
Cast Iron 80,000 20,000  
Rolled Lead 7,000 3,200  
Cast Tin 6,000 2,200  
Cast Zinc 18,000 5,000  

     So you can see lead is pretty darn weak compared to other materials, but we use this to our advantage or detriment as long as we are mindful of it's limitations. This article is going to try to bring a little engineering knowledge to the art of bullet performance, so you, as the reader can really maximize performance of an old technology. The big bullet makers have got most of this down already so let's see if we can level the playing field some.

     I assume that you already know the relationship between bullet hardness and barrel leading so it will not be covered here. Jim Taylor's article on leading is a great place to start if more information is needed as well as Lyman's Casting Manual. (Leading Defined)

     Once we get the bullet out of the gun (internal ballistics), and down range (external ballistics) we now need to look at terminal ballistics (where the rubber "meats" the road). Terminal ballistics is what it's all about, making sure that what you shoot at goes down quickly and humanely, nothing is worse than seeing your game limping away to die a slow death. So let's see if I can help you pick the right material so when you have just perfect shot, it counts.

     Let's start by relating velocity (a known quantity) and pressure (which is difficult to measure and quantify). In Duncan MacPherson's book, Bullet Penetration he has calculated and listed a table (Table 7-1) that relates Stagnation Pressure (defined below) with Velocity in water. Water has a very close relation to soft solid materials (like tissue and ordinance gelatin) that makes for a very good replacement, cheap and easy to get.

   From the Fundamental of Fluid Mechanics the definition of stagnation pressure: "stagnation pressure is the largest pressure obtainable along a given streamline. It represents the conversion of all of the kinetic energy into a pressure rise.

Excerpts from Table 7-1              

Velocity

Pressure Velocity Pressure

Velocity

Pressure Brinell

Velocity

Pressure Brinell

fps

psi fps psi

fps

psi Hardness

fps

psi Hardness

100

67 1900 24300

100

67 0.05

1800

21800 15

200

269 2000 26900

200

269 0.19

1900

24300 17

300

606 2100 29700

300

606 0.43

2000

26900 19

400

1080 2200 32600

400

1080 0.76

2100

29700 21

500

1680 2300 35600

500

1680 1.2

2200

32600 23

600

2430 2400 38800

600

2430 1.7

2300

35600 25

700

3300 2500 42100  

700

3300 2  

2400

38800 27

800

4310 2600 45500

800

4310 3

2500

42100 30

900

5460 2700 49100

900

5460 4

2600

45500 32

1000

6740 2800 52800

1000

6740 5

2700

49100 35

1100

8150 2900 56600

1100

8150 6

2800

52800 37

1200

9700 3000 60600

1200

9700 7

2900

56600 40

1300

11400 3100 64700

1300

11400 8

3000

60600 43

1400

13200 3200 69000

1400

13200 9

3100

64700 45

1500

15200 3300 73400

1500

15200 11

3200

69000 49

1600

17200 3400 77900  

1600

17200 12  

3300

73400 52

1700

19500 3500 82500  

1700

19500 14  

3400

77900 55
 

     What this means for a bullet traveling through a fluid media (tissue) is the force (i.e. stagnation pressure) is greatest at the tip of the bullet or meplat which makes sense.

     Pressure rises with the square of velocity, you could even deform cast iron if the velocity was greater than 3500 fps. Now let's add Brinell Hardness to the table. For a detailed explanation between pressure and Brinell Hardness grab Richard Lee's Modern Reloading 2nd edition.

     Now let's add one more piece of information, Bullet Composition, I got this information from The Los Angeles Silhouette Club website at: (Cast Bullet Notes)

 

Velocity

Pressure Brinell Bullet

fps

psi Hardness Alloy

100

67 0.05

200

269 0.19

300

606 0.43

400

1080 0.76

500

1680 1.2

600

2430 1.7

700

3300 2

800

4310 3

900

5460 4 Lead

1000

6740 5

1100

8150 6

1200

9700 7 Tin

1300

11400 8 1 to 40 Tin Lead

1400

13200 9 1 to 30 Tin Lead

1500

15200 11 1 to 10 Tin Lead

1600

17200 12 WW (Clip On)

1700

19500 14 Lyman # 2

1800

21800 15 Linotype

Velocity

Pressure Brinell Bullet

fps

psi Hardness Alloy

1900

24300 17  

2000

26900 19

2100

29700 21  

2200

32600 23 Monotype

2300

35600 25

2400

38800 27  

2500

42100 30 Oven HT WW

2600

45500 32

2700

49100 35

2800

52800 37

2900

56600 40

3000

60600 43

3100

64700 45  

3200

69000 49 Antimony

3300

73400 52  

3400

77900 55 Soft Commercial Brass

3500

82500 58

   So your bullet has a great lube, and a gas check and leaves your bore spotless, but you can't understand why the terminal ballistics are so poor. Look at the table again, are you beyond the capabilities of your lead bullet, either to fast or to slow? Here's the same table in graphic form.

   As you can see, the stagnation pressure and Brinell Hardness are closely related. This relationship is only for objects traveling in a fluid media, and does not take into account solids (i.e. bone). Please note that these velocities and pressures are only seen for a tenth of a millisecond (.0001 seconds) within a fluid before the bullet comes to a stop.

   So what sorts of scenarios can we relate to this data?

  • Bullet punches straight through game, (you might want this if you have a large enough caliber and meplat).

  • Velocity is low enough to keep the bullet's shape and travel in the intended direction.

  • Bullet swerves off it's intended course missing the internal vitals but stays together.

  • Velocity is just high enough to deform the nose of the bullet creating an asymmetric shape and unpredictable wound path.

  • Bullet drives straight through the target creating a bigger hole on the exit side.

  • Velocity is in harmony with the strength of the bullet, expansion was symmetrical allowing the bullet to travel in a straight line.

  • Bullet comes completely apart and creates a shallow wound and misses all vitals.

  • Velocity was far greater than the bullet strength and was unable to stay together.

So is your bullet weak enough to deform, or is it being pushed to hard to stay together? Are you expecting your cast hollow point to open up? Compare the hardness to the velocity you expect the bullet to be when it reaches the target (which is easy to do with online ballistics calculators). But at the end of the day, this is all analytical exercise, go out and test your bullet and see if it will perform the way you expect. Save those paper mil cartons, set up a row of them at the range and shoot them at the distance you plan on shooting your game.

   Hopefully I've helped you take some of the mystery out of terminal ballistics and how to maximize your bullet's capabilities. Happy hunting, and go get dinner.

   Books I used for reference"

Modern Reloading 2nd edition by Richard Lee  
Engineering Formulas by Frank Sims  
Fundamentals of Fluid Mechanics by Munson, Young & Okiishi  
Bullet Penetration by Duncan MacPherson  
  (A copy of Bullet Penetration is available for purchase by following the above link)  

(Mr. MacPherson's book is not the for the faint of heart, it's very similar to many of my college textbooks, but it is considered THE definitive work in modeling handgun bullets. Even John Linebaugh was a bit overwhelmed when he flipped through one of my copies).

 Ken Easterling

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Warning: All technical data mentioned, especially handloading, hunting and bullet casting, reflect the limited experience of individuals using specific tools, products, equipment and components under specific conditions and circumstances not necessarily reported in the article or on this web site and over which The Los Angeles Silhouette Club (LASC), this web site or the author has no control. The above has no control over the condition of your firearms or your methods, components, tools, techniques or circumstances and disclaims all and any responsibility for any person using any data mentioned. Always consult recognized reloading manuals.