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).
|