|
How To Scale Bullets
Up Or Down
Sometimes we wish to scale a bullet design up or down, to design-for
example-a 25 caliber bullet that is a "scale model" of a certain 30
caliber bullet.
The Ballistic Coefficient (BC) of a bullet is a measure of how efficiently
that bullet goes through the air; of how little velocity is lost as the
bullet travels down range.
If two bullets are fired at the same muzzle velocity, and if one has a
higher retained velocity at (say) 200 yards, then the bullet with the
higher retained velocity has a higher BC.
Bullets with the same BC, fired at the same velocity, follow the same path
from muzzle to target. So, for instance, if we fire 22 caliber and 45
caliber bullets with the same BC and muzzle velocity, in the same
conditions; then the trajectories of the bullets will be the same, and
they will both be affected by the wind to the same extent. The higher the
BC, the less the bullet is displaced by the wind and the less it drops at
any range, for a given muzzle velocity.
So if -back to our example-we want a 25 caliber bullet that is a "scale
model" of a certain 30 caliber bullet, what we really want is a 25 caliber
bullet that has the same BC as that certain 30 caliber bullet.
There are two ways to design this new bullet, the easy way and the hard
way. (Keep in mind the fact that we're using approximations, and that the
new bullet will have APPROXIMATELY the same BC as the original bullet.)
Dimensions of the new bullet should be determined by the dimensions of the
barrel that the bullet is to be shot in.
The Easy Way
Draw the
original bullet, with dimensions. Lets say the 30-caliber bullet is a
bore-rider, with nose of .302", base bands of .311", and length of 1.1".
Then copy the drawing and change the diameters to those desired. Then the
25-caliber bullet drawing might have a nose of .251" and base bands of
.259".
Make the new bullet as long as the original bullet. The 25-caliber bullet
would then have a length of 1.1", the same as the 30-caliber bullet.
Elongate the new bullet design by making either the base bands or the nose
or some combination longer.
N.B. We're designing a bullet with the same BC as the original. In our
example, we've ended up with a 25-caliber bullet 1.1" long. This may or
may not stabilize in a particular rifle, depending on the twist. For a
25-caliber rifle, the Greenhill formula tells us that a twist of one turn
in nine inches, or faster, will stabilize a bullet 1.1" long, and the
25-caliber bullet will weigh 144.5 grains. (calculations below)
This "Easy Way" is based on the notion that bullets of the same design and
length have approximately the same BC. A 1" long 45-caliber bullet has the
same BC as a 1" long 30 caliber bullet-approximately.
The Hard Way
-
1. Draw the original bullet, with
dimensions. Lets say the 30-caliber bullet is a bore-rider, with nose of
.302", base bands of .311", and length of 1.1".
-
2. Re-dimension the drawing
proportionately. The 25-caliber bullet would then have a nose of .251",
base bands of .259", and a length of .909". The .909" is the scale model
length-the ratio of bullet diameters is .257/. 311, multiply this by the
30-caliber length of 1.1", and get .909".
You now have a
25-caliber bullet design that is a "homologue" of the 30-caliber bullet
design.
BUT, while the
25-caliber bullet is a model of the 30-caliber bullet, it does NOT have
the same BC.
Ballistic Coefficient is related to Sectional Density (SD). Bullets with
the same form or shape and the same SD have the same BC.
SD = Weight/Diameter Squared, where the weight is in pounds and diameter
is in inches. Then SD is measured in pounds per square inch.
The 30-caliber
bullet weighs 208 grains in wheel weights.
The SD of the 30-caliber bullet is calculated thus:
Weight in pounds is 208 grains/7000 grains per pound = .029714 pounds.
Diameter squared is .311" squared = .096721 square inches
Weight/Diameter Squared= SD = .029714/. 096271 = .307216 pounds per square
inch.
How much does the 25-caliber homologue weigh?
A .308 diameter cylinder 1" long, made of wheel weights, weighs 210
grains. (I use the .308" cylinder dimension and weight for convenience, as
an approximation of the bullet diameter average. Remember-this is an
approximation.)
Then a .308" diameter cylinder 1.1" long, made of wheel weights, weighs
1.1 X 210 = 231 grains.
The 30-caliber bullet weighs 208/231 = 90% as much as a wheel weight
cylinder as long as the bullet.
It seems reasonable to assume that the same ratio, 90%, holds for the
25-caliber bullet.
A .257" diameter, 1" long wheel weight cylinder weighs 146 grains. Then a
.909" long .257 diameter cylinder weighs .909 X 146 = 132.7 grains, and
the bullet would weigh 90% of that, or 119.4 grains.
How much should the 25-caliber bullet weigh, for the SD's of each to be
equal?
SD = Weight/Diameter
Squared
SD of 30 caliber
bullet = .307216
Diameter of 25
caliber bullet = .257"
Diameter squared of
25 caliber bullet = .066049" sqrd.
SD = .307216 =
Weight of 25 cal bullet/. 066049" sqrd.
Weight of 25 cal
bullet = .307216 X .066409 = .020291 pounds, X 7000 = 142 grains
How much weight must be added to the homologue bullet?
Should weigh = 142, minus Does weigh, 119.4 = 22.6 grains must be added.
How much length must be added to the homologue?
A .257" diameter, 1" long wheel weight cylinder weighs 146 grains.
A 22.6 grain .257" diameter cylinder is 22.6/146 = .155" long.
Then the homologue 25-caliber bullet .909" long must be lengthened .155"
to a total length of 1.064" for the 25-caliber bullet to have the same SD
and BC as the 30-caliber bullet.
Compare The Easy Way
and The Hard Way
Easy way-length = 1.1", weight = 144.5 grains.
Hard way-length = 1.064, weight = 146 grains.
|
Here's a table of weights of lead alloy cylinders 1" long, various
diameters and alloys. Do I have a lot of time on my hands? |
|
Lead/Alloy > > |
|
Lead |
5 sn |
10sn |
Wheel |
Linotype |
Lyman |
Monotype |
|
95 pb |
90pb |
weights |
#2 |
|
Specific gravity > > |
|
11.34 |
11.00 |
10.50 |
11.14 |
10.63 |
10.63 |
10.10 |
|
|
Cylinder |
|
|
|
|
|
|
|
|
|
Volume |
Weight |
Weight |
Weight |
Weight |
Weight |
Weight |
Weight |
|
Caliber |
cubic " |
Grains |
Grains |
Grains |
Grains |
Grains |
Grains |
Grains |
|
0.224
|
0.039 |
113 |
110 |
105 |
111 |
106 |
106 |
101 |
|
0.244
|
0.047 |
134 |
130 |
124 |
132 |
126 |
126 |
120 |
|
0.257
|
0.052 |
149 |
144 |
138 |
146 |
140 |
140 |
133 |
|
0.264
|
0.055 |
157 |
152 |
146 |
154 |
147 |
147 |
140 |
|
0.277
|
0.060 |
173 |
168 |
160 |
170 |
162 |
162 |
154 |
|
0.284
|
0.063 |
182 |
176 |
168 |
179 |
170 |
170 |
162 |
|
0.308
|
0.075 |
214 |
208 |
198 |
210 |
201 |
201 |
191 |
|
0.311
|
0.076 |
218 |
212 |
202 |
214 |
204 |
204 |
194 |
|
0.323
|
0.082 |
235 |
228 |
218 |
231 |
221 |
221 |
210 |
|
0.338
|
0.090 |
258 |
250 |
239 |
253 |
241 |
241 |
229 |
|
0.357
|
0.100 |
287 |
279 |
266 |
282 |
269 |
269 |
256 |
|
0.375
|
0.110 |
317 |
308 |
294 |
312 |
297 |
297 |
282 |
|
0.410
|
0.132 |
379 |
368 |
351 |
372 |
355 |
355 |
338 |
|
0.429
|
0.145 |
415 |
403 |
384 |
408 |
389 |
389 |
370 |
|
0.457
|
0.164 |
471 |
457 |
436 |
463 |
441 |
441 |
419 |
Note that if the new bullet is SMALLER in diameter than the original
bullet, then we must ADD a cylindrical section of the new bullet to make
sectional densities and BC's equal; and that if the new bullet is BIGGER
than the original bullet, then we must REMOVE a cylindrical section of the
new bullet to make the sectional densities and BC's equal.
Note that the EFFECT of a change in BC is not proportional to that change.
The BC determines, for any given muzzle velocity, how much the bullet will
drop, and how much the bullet will be affected by the wind, at any range.
For example:
Muzzle Velocity = 1500 fps// G1 ballistic table//Deflection from 10 mph
wind.
|
BC |
.400 |
.350 |
|
200 Yd Drop |
35.5" |
36.2" |
|
200 Yd. Deflection |
7.5" |
8.6" |
|
1000 Yd. Drop |
1371.8" |
1449.0" |
|
1000 Yd. Deflection
|
164.4" |
182.5" |
A decrease of BC from .400 to .350 will increase the drop and wind
deflection of the bullet. BUT, not proportionately; since reducing BC from
.400 to .350 is a reduction of 12.5%, and: 200 Yd Drop increases 2%.
-
200 Yd. Deflection
increases 15%
-
1000 Yd. Drop
increases 6%
-
1000 Yd.
Deflection increases 11%.
The point is that small changes in the BC yield some smaller changes in
bullet behavior, and time spent on assuring that the newly designed bullet
has the identical BC as the original bullet is better spent in other
pursuits-perhaps developing a bullet lube recipe containing yak butter.
Note also that some of the above work is based on an article written by me
for the ASSRA News in the distant past, and that I learned most of the
hard stuff (that homologue business) from articles written by others in
The Fouling Shot including W. C. Davis. The only things original with me
are the observation that BC is approximately constant, for similar-shaped
bullets of the same length, regardless of caliber; and that fascinating
table of weights of cylinders of different alloys.
Ballistic
Coefficients (BC)
The BC of a bullet is a measure of how efficiently that bullet goes
through the air; of how much velocity is lost as the bullet travels down
range.
BC's are measured in decimals such as, 269 or .361. The higher the number,
the higher the BC, the less the effect of wind on the bullet and the
higher the retained velocity of the bullet.
The BC of a bullet varies with muzzle velocity, air density, wobble or
yaw, and the time of high tide. I believe that three digits to the right
of the decimal is one too many, and that BC should more properly and
accurately be recorded as .27 or .36. The path of the bullet does not vary
proportionately with variations in BC. If two bullets are fired at the
same muzzle velocity, and if one has a higher retained velocity at (say)
200 yards, then the bullet with the higher retained velocity has a higher
BC.
Bullets with the same BC, fired at the same muzzle velocity, follow the
same path from muzzle to target. So, for instance, if we fire 22 caliber
and 45 caliber bullets with the same BC and muzzle velocity, in the same
conditions; then the trajectories of the bullets will be the same, and
they will both be affected by the wind to the same extent. The higher the
BC, the less the bullet is displaced by the wind, at any given muzzle
velocity.
The BC of a bullet is a function of the form (shape) of the bullet, and of
its sectional density (SD). Sectional Density is Weight/Caliber Squared,
units are pounds per square inch. Bullets with the same form and the same
SD have the same BC.
The effect of form on BC can be thought of as having three parts. The form
component is determined by the form of the nose, the form of the base, and
the form and length of the side. The form of the nose and the base are
very important determinants of BC, but the form and length of the side is
not an important determinant of BC.
About wind
drift and velocity.
BC, bullet velocity and wind speed determine how much a bullet is
deflected by the wind on the way to the target.
BC and bullet velocity don't matter when you're shooting in the calm, with
no wind. I prefer shooting when there's no wind, although the wind,
especially a gusting wind, is a wonderful excuse.
Here's a table showing the wind deflection (wind drift) of bullets with
BCs varying from .2 to .6, and velocities from 800 fps to 2800 fps. Range
is 200 yards, the wind is coming straight across the range, 90 degrees
from the line of flight of the bullet.
This table was constructed using a ballistic program named "Balistic" by a
fellow named "Frenchu". I've had the program for years, and used it to
estimate long range sight settings before shooting at those long ranges,
and its never let me down.
|
Velocity, Deflection and BC |
200 yard deflection (in inches) in 10 mph 90
degree wind |
|
fps |
BC = .2 |
BC = .25 |
BC = .3 |
BC = .35 |
BC = .4 |
BC = .45 |
BC = .5 |
BC = .55 |
BC = .6 |
|
800 |
9.1 |
7.2 |
6.0 |
5.1 |
4.5 |
4.0 |
3.6 |
3.3 |
3.0 |
|
|
900 |
9 |
7.2 |
6.1 |
5.2 |
4.6 |
4.1 |
3.7 |
3.3 |
3.1 |
|
|
1000 |
9.8 |
8 |
6.7 |
5.8 |
5.1 |
4.6 |
4.1 |
3.8 |
3.5 |
|
|
1100 |
11.4 |
9.4 |
7.9 |
6.9 |
6.1 |
5.5 |
5.1 |
4.6 |
4.2 |
|
|
1200 |
13.1 |
10.8 |
9.2 |
8.0 |
7.1 |
6.4 |
5.8 |
5.3 |
4.9 |
|
|
1300 |
14.4 |
11.8 |
10.0 |
8.7 |
7.7 |
6.9 |
6.2 |
5.6 |
5.2 |
|
|
1400 |
14.9 |
12.2 |
10.2 |
8.8 |
7.7 |
6.8 |
6.1 |
5.6 |
5.1 |
|
|
1500 |
15 |
12.1 |
10.1 |
8.6 |
7.5 |
6.6 |
5.9 |
5.4 |
4.9 |
|
|
1600 |
14.8 |
11.8 |
9.7 |
8.3 |
7.2 |
6.4 |
5.7 |
5.2 |
4.7 |
|
|
1700 |
14.2 |
11.2 |
9.2 |
7.8 |
6.8 |
6.0 |
5.3 |
4.8 |
4.4 |
|
|
1800 |
13.5 |
10.6 |
8.6 |
7.3 |
6.3 |
5.6 |
5.0 |
4.5 |
4.1 |
|
|
1900 |
12.8 |
9.9 |
8.1 |
6.8 |
5.9 |
5.2 |
4.6 |
4.2 |
3.6 |
|
|
2000 |
12 |
9.3 |
7.6 |
6.4 |
5.5 |
4.9 |
4.4 |
3.9 |
3.6 |
|
|
2100 |
11.3 |
8.7 |
7.1 |
6.0 |
5.2 |
4.6 |
4.1 |
3.7 |
3.4 |
|
|
2200 |
10.6 |
8.2 |
6.7 |
5.6 |
4.8 |
4.3 |
3.8 |
3.4 |
3.1 |
|
|
2300 |
10 |
7.7 |
6.2 |
5.2 |
4.5 |
4.0 |
3.6 |
3.2 |
2.9 |
|
|
2400 |
9.3 |
7.2 |
5.8 |
4.9 |
4.2 |
3.7 |
3.3 |
3.0 |
2.7 |
|
|
2500 |
8.8 |
6.8 |
5.5 |
4.6 |
4.0 |
3.5 |
3.1 |
2.8 |
2.6 |
|
|
2600 |
8.3 |
6.4 |
5.2 |
4.4 |
3.8 |
3.3 |
3.0 |
2.7 |
2.4 |
|
|
2700 |
7.8 |
6 |
4.9 |
4.1 |
3.6 |
3.1 |
2.8 |
2.5 |
2.3 |
|
|
2800 |
7.4 |
5.7 |
4.7 |
3.9 |
3.4 |
3.0 |
2.7 |
2.4 |
2.2 |
|
| |
|
Here's the same
data as a graph.
|
|

|
Here's a table
showing the wind deflection (wind drift) of bullets with BCs varying from
.2 to .6, and velocities from 800 fps to 2800 fps. Range is 1000 yards,
the wind is coming straight across the range, 90 degrees from the line of
flight of the bullet.
|
This table was
constructed using the ballistic program named "Balistic" by "Frenchu".
|
| 1000 yard deflection
(in inches) in 10 mph 90 degree wind |
| velocity |
|
|
|
|
|
|
|
|
|
fps |
BC = .2 |
BC - .25 |
BC = .3 |
BC = .35 |
BC = .4 |
BC = .45 |
BC = .5 |
BC = .55 |
BC = .6 |
|
800 |
261.9 |
200.3 |
162.4 |
136.7 |
118.1 |
104.0 |
93.0 |
84.1 |
76.8 |
|
|
900 |
244.3 |
188.8 |
154.5 |
131.0 |
113.9 |
100.8 |
90.5 |
82.1 |
75.2 |
|
|
1000 |
241 |
189.1 |
156.6 |
134.1 |
117.6 |
104.9 |
94.8 |
86.6 |
79.7 |
|
|
1100 |
248.4 |
198.2 |
166.4 |
144.3 |
127.8 |
115.0 |
104.8 |
96.3 |
89.2 |
|
|
1200 |
260.1 |
210.7 |
179.1 |
156.9 |
140.2 |
127.1 |
116.5 |
107.7 |
100.2 |
|
|
1300 |
271.4 |
222.4 |
190.7 |
168.2 |
151.1 |
137.5 |
126.5 |
117.2 |
109.4 |
|
|
1400 |
280.4 |
231.6 |
199.6 |
176.6 |
159.0 |
144.9 |
133.4 |
123.6 |
115.3 |
|
|
1500 |
287.4 |
238.4 |
206.0 |
182.5 |
164.4 |
149.8 |
137.7 |
127.4 |
118.6 |
|
|
1600 |
292.5 |
243.4 |
210.5 |
186.5 |
176.7 |
152.6 |
139.9 |
129.1 |
119.8 |
|
|
1700 |
295.6 |
246.2 |
212.8 |
188.2 |
168.8 |
153.1 |
139.8 |
128.6 |
118.7 |
|
|
1800 |
297.2 |
247.4 |
213.5 |
188.2 |
168.3 |
151.9 |
138.2 |
126.4 |
116.2 |
|
|
1900 |
297.6 |
247.4 |
213.0 |
187.1 |
166.5 |
149.6 |
135.3 |
123.1 |
112.6 |
|
|
2000 |
297 |
246.4 |
211.4 |
184.9 |
163.7 |
146.3 |
131.6 |
119.1 |
108.3 |
|
|
2100 |
295.5 |
244.5 |
208.9 |
181.7 |
160.1 |
142.2 |
127.1 |
114.4 |
103.5 |
|
|
2200 |
293.2 |
241.7 |
205.5 |
177.8 |
155.6 |
137.3 |
122.0 |
109.2 |
98.4 |
|
|
2300 |
290.3 |
238.3 |
210.5 |
173.3 |
150.6 |
132.0 |
116.6 |
103.8 |
93.1 |
|
|
2400 |
286.9 |
234.4 |
197.1 |
168.3 |
145.3 |
126.4 |
111.0 |
98.4 |
88.0 |
|
|
2500 |
283.1 |
230.1 |
192.2 |
163.0 |
139.7 |
120.8 |
105.5 |
93.1 |
83.2 |
|
|
2600 |
278.9 |
225.5 |
187.1 |
157.5 |
133.9 |
115.0 |
100.0 |
88.1 |
76.5 |
|
|
2700 |
275.4 |
220.6 |
181.7 |
151.8 |
128.1 |
109.4 |
94.8 |
83.4 |
74.2 |
|
|
2800 |
269.8 |
215.5 |
176.2 |
146.0 |
122.3 |
104.0 |
89.9 |
78.9 |
70.3 |
|
|
Here's the same
data as a graph: |
|
 |
|
Here's a table
showing the bullet drop of bullets with BCs varying from .2 to .6, and
velocities from 800 fps to 2800 fps. Range is 1000 yards.
|
|
This table was
constructed using a ballistic program named "Balistic" by a fellow named "Frenchu". |
| 1000 yard
bullet drop in inches |
| Velocity |
|
|
|
|
|
|
|
|
| fps |
BC = .2 |
BC = .25 |
BC = .3 |
BC = .35 |
BC = .4 |
BC = .45 |
BC = .5 |
BC = .55 |
BC = .6 |
| 800 |
4335 |
3924 |
3680 |
3519 |
3404 |
3318 |
3251 |
3198 |
3154 |
| 900 |
3509 |
3175 |
2975 |
2841 |
2748 |
2672 |
2616 |
2571 |
2533 |
| 1000 |
2979 |
2689 |
2513 |
2395 |
2309 |
2243 |
2192 |
2150 |
2116 |
| 1100 |
2638 |
2373 |
2210 |
2099 |
2018 |
1956 |
1906 |
1866 |
1932 |
| 1200 |
2400 |
2151 |
1996 |
1889 |
1810 |
1749 |
1700 |
1659 |
1625 |
| 1300 |
2215 |
1976 |
1826 |
1721 |
1643 |
1582 |
1533 |
1493 |
1458 |
| 1400 |
2056 |
1826 |
1679 |
1576 |
1499 |
1438 |
1388 |
1347 |
1312 |
| 1500 |
1918 |
1694 |
1551 |
1449 |
1372 |
1311 |
1261 |
1219 |
1183 |
| 1600 |
1796 |
1577 |
1436 |
1335 |
1258 |
1197 |
1147 |
1104 |
1069 |
| 1700 |
1683 |
1470 |
1331 |
1231 |
1154 |
1093 |
1046 |
1000 |
964 |
| 1800 |
1589 |
1372 |
1235 |
1135 |
1059 |
998 |
947 |
905 |
870 |
| 1900 |
1486 |
1281 |
1146 |
1048 |
972 |
911 |
861 |
820 |
785 |
| 2000 |
1399 |
1198 |
1065 |
968 |
893 |
833 |
784 |
743 |
710 |
| 2100 |
1318 |
1121 |
990 |
894 |
820 |
761 |
713 |
674 |
642 |
| 2200 |
1243 |
1049 |
920 |
825 |
752 |
695 |
649 |
612 |
582 |
| 2300 |
1172 |
982 |
855 |
762 |
690 |
635 |
591 |
556 |
529 |
| 2400 |
1107 |
920 |
795 |
703 |
634 |
580 |
539 |
507 |
482 |
| 2500 |
1045 |
862 |
739 |
649 |
582 |
531 |
493 |
463 |
441 |
| 2600 |
987 |
808 |
687 |
600 |
535 |
487 |
451 |
425 |
404 |
| 2700 |
933 |
757 |
639 |
554 |
492 |
447 |
414 |
390 |
372 |
| 2800 |
883 |
710 |
594 |
512 |
453 |
411 |
382 |
360 |
343 |
I
just have to study these tables and graphs for a while before I see what's
going on.
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Here's the same
data as a graph: |
|
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Bullets have LESS wind drift at 1100 fps than at higher velocities. As
velocity is increased, wind drift increases. Then as velocity goes above
1300-1500 F/s, wind drift again decreases. This is counter-intuitive, but
it is true. Unfortunately, wind drift is highest at 1300 fps to 1500 fps,
the middle of the low speed cast bullet velocities.
We can reduce wind drift by either increasing or decreasing muzzle
velocity or by increasing the BC of the bullet. The most feasible options
seem to be either reducing muzzle velocity or increasing the BC of the
bullet or both.
The easiest and cheapest option is to reduce the velocity of the bullet by
reducing the powder charge. Reducing the powder charge sometimes/often
increases variation in MV because the powder takes up less of the space in
the case, and reduces accuracy.
One way to reduce MV variation in light charges is to use a wad to hold
the powder in place against the primer. See "ON WADS AND FILLERS" for a
discussion of the possible risks of using wads.
Bullet drop, with BC above ~.3, isn't sensitive to BC. A rule of thumb
that I've developed is: Bullets of the same length and same shape have
about the same BC, regardless of caliber". A 1" long 22-caliber bullet has
about the same BC as a 1" long 30-caliber bullet.
Another rule I've developed is: "Don't worry about BC". It's nice to know
about, and some of the more/most advanced cast bullet shooters take it
into consideration, but for the majority of us it shouldn't be a concern.
Thoughts on
Throats, Leade, Ball Seats and Bullet fit
Ric Bowman
A lead alloy bullet has a hard life. It is not strong nor does it have a
hard copper jacket. It gets mushed by a heavy gas check or a wall of high
temperature gas in the butt. It has a hard steel wall that confines it and
a column of air holding it back. Then the lands grab it and make it twist
around its center of form. No, an alloy bullet doesn’t have an easy life.
The ideal position for the bullet is this: the nose is snugly resting on
the top of the lands and the front driving band is snug against the leade
with its circumference is exactly the same as the diameter of the throat.
The rest of the bullet is contained in the neck of the case that is
perfectly centered in the perfectly centered chamber. The case mouth
touches the front of the chamber so that a smooth surface exists from the
base of the bullet through the throat, leade and bore. There is no gap
between the front of the case mouth and the throat, there is no gravity,
ejector or extractor tension to keep the resized case from laying
perfectly concentric to the bore center line. Yeah, when pigs fly and I’m
a young man again!
Terms as I use them, whether they are technically correct or not:
-
Chamber - The
interior portion of the barrel that surrounds the brass case.
-
Throat – The
parallel section of the bore in front of the chamber before the lands of
the rifling begins.
-
Leade – The
section of the bore in which the lands of the rifling rise up from the
throat into the rifled bore proper.
-
Ball seat – A
type of throat/leade combination that is made with a one- or two-angle
cut from the front of the chamber to the bore proper.
Illustration #1 is the profile of a good cast bullet chamber; it is not to
scale but shows the principles required. The fired case neck has expanded
to just release the bullet with no excess room for the bullet to move. The
front of the neck approaches the ledge cut into the barrel for the neck.
The throat is long, parallel, and only slightly larger than the groove
diameter. The leade is long and of shallow angle to allow the bullet body
to smoothly enter the bore. This chamber would shoot long
heavy-for-caliber bullets well.
Illustration #2 is of two common types of ball seat chambers; again not to
scale. “A.” is the best possible one, with the fired case neck just
slightly larger than the groove diameter. “B.” is most commonly
encountered with the fired case neck diameter much larger than the groove
diameter. The major difficulty with this design is that the soft cast
bullet is not contained by either the case neck or the chamber. This leads
to uncontrolled obturation, bullet tipping, gas cutting and driving band
shaving. While it works OK with jacketed bullets, you must use a very hard
alloy to have consistent performance. With anything softer than linotype
cast bullets accuracy is usually poor.
There have been many attempts to design bullets that minimize the reality
of factory-produced rifles. Also there are reloading techniques that
minimize bullet/ barrel interface errors.
Harry Pope designed a bullet for fixed cartridges that had a nose that
rode on top of the lands, two driving bands of increasing size to fill
most throats and a base band that is a tight slip fit into a fired case
neck. In theory, the bullet and case are centered. With alloy and powder
charge / pressure curve matched, the bullet obturates to completely fill
the barrel and provides consistency. It works but it has low velocity
potential, requires much experimenting, and load changes for varying
temperatures and bore conditions to shoot well. (This bullet is the Pope
Lyman 308403 or 311403, which I have found to be very easy to load
accurately with small charges of Unique..)
In the early 1900’s, Ideal produced several designs for their new
invention, gas checks, which are still working well. The classic is 311284
(308284) a gas check design for the 30 US Army. About 40% of the bullet is
a bore-riding nose with two wide driving bands and a short gas check
shank. The theory is that the long nose centers the front of the bullet
with the bore, and if the bullet is sized correctly, the first band
centers and fills the throat. Because the bullet is centered in the bore,
it holds the resized case centered in the chamber.
Bob Cramer (who sold out to SAECO) designed the “bore riding” bullet with
60% or more, of the bullet inside the bore, sitting on top of the lands.
It works well with short case necks, ball seat chambers or when you want
shallow seating. The bullet picks up, centers the partial resized case,
and places the front driving band against the lands of the barrel.
The bullet designs by H. Guy Loverin take a different tack. They have
almost no nose with multiple narrow driving bands. The bullet is seated
into a tight case neck and adjusted for a critical seating depth. Properly
done, the first driving band is forced into the leade engraving the lands
into the bullet. The driving bands must be close to throat diameter. The
multiple lube grooves act as a pneumatic piston that uses gas turbulence
over these grooves to help seal the throat. This design can be very
effective as long as combustion gas pressure is not too high or alloy
strength too low, leading to lube groove collapse. Many feel that this is
the best bullet design for 2000+ f/s reloads with good accuracy.
Swaging bullets to
fit the throat has become fairly popular in the last 25 years. Usually it
works like this. A reamer of known dimensions is used to cut the throat to
a known configuration. The same reamer is also used to cut a swage of the
same dimensions. The bullet of choice is forced into the swage to shape it
to the exact contour as the barrel throat. The bullet is seated long into
a loose case neck. As the cartridge is chambered, the bullet stops in the
barrel and the neck of the case slides up the sides of the bullet. This
gives exceptionally consistent bullet placement in the barrel.
Joe Gifford has developed a method called “float seating” that was made
for the long throats of military rifles using wheel weights for alloy.
While it is certainly effective there are some requirements: smooth bore
surface, heavy-for-caliber bullet, an as cast diameter bullet nose that is
a snug fit on top of the lands and a fast powder. This is how he does it
for an 1891 Argentine Mauser with Lyman 311284. The case is sized only
down pass the area of the neck where the gas check will end up, and then
the neck is opened with a 0.311 Lyman “M” die. The bullet is sized in a
0.314 die, which only crimps the gas check onto the shank and leaves the
bullet un-sized. The bullet is seated so that the entire nose is in the
bore and the front driving band is hard against the leade. This leaves the
top edge of the gas check touching the inside of the case neck, but none
of the bullet does. This allows the bullet to self-center into the bore.
He uses 12.0 grains of Unique for a fast pressure rise to insure full
obturation of the body into the throat. In theory, this gives excellent
bullet alignment in the bore and the hard fit insures good powder
ignition. The disadvantages are that rounds are too long to feed from the
magazine, the bullet is not secure in the case and a loaded round cannot
be extracted without leaving the bullet in the barrel. However, with this
technique you can stack your shots one on top of the other for fine group
shooting.
The type and dimensions of the throating also determines what type of
alloy you need to use for your bullets. The closer the bullet fits the
throat, the softer (read cheaper) alloy you can use within reason. Ball
seats do not support the bullet well and require harder alloys compared to
a snug parallel throat. Magazine length may limit how long you can seat
the bullet. You cannot always seat the bullet long to fill the throat and
leade to help control gas cutting. In addition, you cannot always depend
upon obturation to seal the bore. Bullet choice should match the throat
and seal as well as possible to prevent gas cutting. If the bullet doesn’t
fit the throat well, you can try a slower burning powder, like IMR 4198
and slower, to delay peak pressure until the bullet is partially in the
bore.
Without slugging your throat, you are doomed to trying different moulds
and loading techniques until you hit upon something by luck. A carefully
made slug and use of a good micrometer will let you eliminate moulds that
just do not cast bullets the size you need.
This is a picture of a drawing made to SAMMI specifications for the 30/30
chamber. If you look where the end of the case would be, you will see a
steeply sloping cut of 15 degrees all the way into the bore. This is what
I call a ball seat.
This is a picture of a drawing made to SAMMI specifications for the 30/06
chamber. If you look where the end of the case would be, you will see a
steeply sloping cut of 35 degrees and 43 minutes. This only reduces the
throat to .3106 inches, just over bullet size. Then there is the throat,
reducing down at 1 degree and 22 minutes to bore size. This is what I call
a throated chamber.
Fitting a Cast
Bullet to the Chamber of a Firearm
Bill McGraw, Ric Bowman, Ken Mollohan
Recent RCBS, Lee, SAECO and Lyman moulds cast bullets that fit many/most
guns well; Lyman moulds of older manufacture usually cast much larger than
newer molds. There are other moulds made by NEI and many other custom
mould makers, and there are many used moulds for sale at gun shows and
other outlets. In most cases you can buy a mold that casts a bullet that
shoots well in your gun.
Read a good loading manual before loading any ammunition. Follow
directions, double check powder type and charges, and look into the cases
to insure the powder level is correct before seating the bullet.
Revolver bullets
must fit the cylinder throats, must be throat diameter (exact throat
diameter or -.0005" inches minimum). If the bullet is much smaller than
the cylinder throat, then there will be gas blow-by, leading, and accuracy
will be destroyed.
If the forcing cone is slightly larger than the cylinder throats and
tapers to the groove diameter, all is well.
If the barrel groove diameter is smaller than the cylinder throats, all is
well.
But, if the groove diameter is larger than the cylinder throat diameter,
problems will ensue. The only option is
to have the cylinder throats reamed to bore diameter.
Rifle bullets
must fit the throat, must be no more than half-a-thousandth of an inch
smaller than the throat. The throat ( or "leade" or "ball seat") is the
section of the chamber from the end of the case to the rifling. The point
is that the bullet must make a seal to keep the gas from blowing by and
depositing lead on the bore.
Fitting cast bullets is about dimensions of chambers, throats and of
bullets and bullet moulds. If the bullet is "too small", upon firing the
gas will blow by the bullet, gas cutting the bullet and leading the
barrel. The intent is to fit the bullets so that gas-cutting and leading
is minimized, so that the gun shoots accurately, and so that SAFETY is
maintained.
These dimensions are needed to fit a
bullet:
For Revolvers:
For rifles:
-
a. throat dimensions
-
b. barrel bore and groove diameters at the
breech end and the muzzle end to see if there is any taper to the bore.
-
c. for rifles with a screwed-on or
pressed-on sight or sling mount, bore and groove dimensions should be
measured under the mount also
Instructions for measuring these dimensions are included in this book.
Additional considerations:
-
1. A larger bullet is better than a
too-small bullet. The smaller bullet may not shoot without gas-cutting
and eventual bore fouling.
-
2. Lever action rifles with tube magazines
require flat-nosed bullets that are crimped in place. Pointed bullets
MAY fire the next cartridge in line by hitting the primer.
-
3. Bolt action rifles may allow a tighter
fit in the throat so as to allow the bullet to seat in the axis of the
bore yet not so tight that the bullet will lodge or debullet if the
loaded round needs to be extracted. Except sometimes bolt guns are more
accurate when the bullet is seated way out, and the cartridge can't be
removed from the gun without de-bulleting. Every shooter should and will
pull the bullet out of the cartridge when removing a cartridge from the
gun. The powder falls out of the case and immediately goes everywhere in
the action. Now the gun has to be disassembled and cleaned, and the
bullet has to be knocked out of the bore. This de-bulleting is
especially interesting if it occurs during a hunt or a match.
-
4. In all firearms, some leeway in fitting
must be considered if many rounds are to be fired in match competition
when fouling buildup is expected and cleaning is not done until such
competition is finished.
-
5. Loaded rounds should fit in a auto-load
pistol and lever, slide or auto-load rifle’s magazine, if you load
cartridges in the magazine. I never load rifle cartridges in the
magazine, I shoot all rifles one cartridge at a time. At the Old Colony
Sportsman's Association in Pembroke MA. this is the rule, single loading
always unless under a special dispensation (M1s, M1As, AR15s etc.).
-
6. Cartridges should chamber without having
the bullet seated too deeply in the cartridge case. In the case of
bottle-necked cartridge cases, the bullet base should be seated no
deeper than the bottom of the neck if at all possible.
-
7. For bore-riding bullets, the bullet base
should be of groove diameter and the bullet nose of bore diameter plus
0.001"-0.003”.
-
8. Lower velocity loads work well with the
larger diameter bullets; higher velocity loads seem to work best with
the smaller diameter increase .
-
9. There is much difference in chamber and
throat dimensions from one gun to another.
There is one situation where the general rules do not work well. Some
chamber necks are too small to seat a cast bullet of proper diameter for
the neck, throat and bore and groove dimensions.
One example is the Browning copy of the Winchester Lever Action rifle in
348 Winchester. John Rhodes has reported on his rifle’s inability to shoot
with CB’s. The chamber is made for jacketed bullets of much smaller
diameters than needed for CB use.
Other examples include the 38 and 41 Colt, and some transitional rifles
such as the Springfield Trap Door, Werndl and Snider.
In these cases
there are several alternatives to fix the problem.
-
1. Open the
throat with a throating reamer. (This should be the LAST choice.)
-
2. Breech seat
the bullet in front of the case in rifles.
-
3. Turn case
necks or make step-necked cases to allow larger bullets to be used.
-
4. Use a "Heel"
or "hollow based" smaller-diameter bullet. Below are examples of pistol
bullets, the information applies to rifle bullets as well.
The 359417 is
a conventional design bullet. Sometimes this bullet style, loaded in the
case, makes a cartridge that is too big in diameter
for the chamber. The 386177 is a "heel" style bullet Where the "196
gr" is printed is smaller in diameter than further forward, allowing the
bullet to be seated in the case and the cartridge to fit the chamber. The
387178 is a hollow based bullet that, when seated in the case, allows the
cartridge to fit in the gun. Upon firing, the hollow base expands, sealing
the bore and stopping blow-by and leading.
-
5. Use a smaller
bullet of soft alloy that makes a cartridge that fits in the chamber.
With a fast smokeless powder or black powder the bullet may expand
enough on firing to seal the bore.
-
6. Military and
worn barrel throats present a condition where bullet diameters are
needed that are not available in standard moulds. Many factory sporter
rifles have such large throats. In this case there are two ways to
remedy this:
Have a custom mould made or modify a current mould to fit such a throat,
or
Fit the bullet as recommended and use a wad under the bullet that will
seal the throat when the round is fired. Such wads are made from paper,
card and plastics and are cut with an arch punch. with a wad cutter using
a drill press, or when a few wads are needed, cut with a cartridge case
neck fitted and outside deburred to a knife edge so that cutting is
consistent.
Wads can be cut by using a mallet tapped on the cartridge cutter on the
wad material backed by a soft backer of wood, leather, or a soft plastic
so as not to bend the wad cutter; chucking the cartridge wad cutter in a
drill press is a good option.
If using the Lee Collet die to size cartridge necks for loading cast
bullets, the same die can be used to adjust the cartridge case to cut
different diameter wads until the diameter is suitable for the load and
chamber throat. Such wads must be at least the diameter of the throat or
slightly larger and should fit the cartridge neck under the bullet with no
airspace between the wad and bullet and the wad must be seated in the case
neck in such a way it cannot fall into the powder space of the cartridge.
In no case should a loaded cartridge neck be larger than the chamber neck;
the cartridge may not chamber and even if chambered, dangerous pressure
could result. There should be enough clearance to allow the neck to expand
on firing. Tight-chambered rifles built for and used by experienced cast
bullet reloaders may have very little neck clearance. For the rest of us,
the loaded cartridge neck should be a minimum of .002" smaller than the
chamber. It is thought that greater neck clearance diminishes accuracy, so
a maximum of .006" clearance should be the goal.
Bullets can be sized down in size/lube dies to fit the groove dimensions.
Nose diameters cannot be reduced without custom dies. A rather simple die
is available from Don Eagan; such dies are made to reduce nose diameters
and are also made to taper the entire bullet to fit a tapered throat. Don
advertises in The Fouling Shot and can make a die to suit a particular
throat. These dies are used in place of the regular size/lube dies in RCBS
and Lyman lube/sizers; once all the bullets are modified, the die is
removed and the regular die is replaced for seating gas checks and lubing
the bullets.
An aside on restricted bores.
Some revolver barrels are squeezed where the barrel is screwed into the
frame.
Some rifle barrels are squashed where a sight base or sling swivel base is
swaged onto the barrel. It has been reported that some Ruger barrels with
swaged-on sling swivel bases are squashed.
When the barrel is squashed the bore and groove are squozen smaller, as
much as .004"-'005" has been reported. This constriction in the barrel of
rifle or revolver may/will substantially reduce accuracy, may be found and
measured by slugging the barrel, and may be removed by lapping or
fire-lapping the barrel.
"joe b, My
Ruger #1 in 45-70 has a definite restriction where the bbl band sling
swivel assembly has been installed. This can easily be felt with a tight
patch on a cleaning rod. Why Ruger chose that method (swaging?) is beyond
me. Possibly cheaper installation than either soft or hard soldering."
Frank at Cast Boolits
It has also been reported that these sight bases and swivel bases are
soldered on, and scale is what causes the tightness in the barrel.
"Any model Ruger that has the front sight band can have a constriction but
doesn't necessarily have to. And even if it doesn't have a constriction
they could have heated the steel so badly that it becomes scaled. I had
that on a 77-44." John
Robinson
"You would think Ruger would break the code on how to solder ramps, bands
and such. I have had to send three back for new barrels as you can't
remove that heat scale stuff. The last was an NIB Old Army with scale
where they soldered on the front sight and another small patch where they
attached the loading lever stud to the barrel. They have always replaced
the barrels with no fuss, but this must get costly for them."
Chargar at Cast Boolits
How to use the measured bore, groove and throat
diameters to select a cast bullet that is likely to do well in your gun:
Ken Mollohan
Generally speaking, cast bullets suffer from relative softness and low
melting points. These form serious obstacles to obtaining good results
from all but the lightest loads. The more protection you can provide from
the gunpowder flames, the better your chances of good results. The tighter
the fit of the bullet in the bore, the more support it will get, and the
less likely it will be to collapse and shoot wildly.
To this end, it is the usual practice to select an Ideal bullet design
with a nose that is at least a tight ‘push fit’ in the bore. For example,
a nose with a diameter of 0.301” to 0.305” generally works well in bores
with lands that measure 0.300”, like the 30-06. Well worn barrels may even
use nose diameters up to 0.312”. The deciding factor is whether the throat
and leade are worn enough to allow the round to chamber with reasonable
ease. Pistol bullets generally don’t have much of a bore riding nose, but
can be considered much like Loverin bullets. Loverin bullet designs do not
have a bore riding nose, and their diameter should be determined as for
the throat, below. Revolver bullets should be sized to the largest
diameter throat in the cylinder.
It was once the practice to select a sizing diameter equal to the groove
diameter of the bore, and this is still recommended in print today. This
was the original inspiration for slugging a barrel in the first place: To
determine the sizing diameter. However, sizing a bullet body to groove
diameter means it will be substantially undersized as it lies in the neck
and throat of the rifle. Undersized bullets are not well aligned with the
bore, and they allow a lot of flame to jet around their sides, which leads
to leading and other problems. Today, the practice of sizing bullet bodies
to fit the throat of the chamber is well recognized as much better. It
provides much less flame leakage, and much better alignment of the bullet,
as well as better support.
Some folks (including me) have had good success without bothering to slug
bores by the simple expedient of trying to press the nose of a cast bullet
into the muzzle of a rifle by hand. If it drops in of its own weight, it
is too small for best results, no matter what diameter you may size the
body. If it doesn’t drop in, but can be pushed in with finger pressure,
it’s much better, but may still be too small for the very best results. If
the nose can’t be pushed into the muzzle, the bullet will give you a good
chance of really good results. Then size the bullet body as large as
possible without causing chambering problems. It may not be sophisticated,
but it’s still very practical.
Ken Mollohan
But . . . . . .
The orthodox doctrine states that we MUST fit the bullet to the chamber,
to the throat. FIT, the doctrine screams, is the real deal. Now if
everybody knows that it's true, then I feel pressed to agree, and have
taken measures to fit bullets to the throat/chamber of rifles since the
mantra was first chanted.
But now and then I think about the orthodox doctrine that ulcers were
caused by stress, and the brave M.D. who held out for the bacteria theory
and got the flak.
And I think of the old journalism school joke:" If your mother says she
loves you, check!"
Lyman has produced molds for the 308291/311291 and 31141/311041 bullets
for a long time, maybe a hundred years. In that time we've seen many 30
caliber molds come and go (remember trying to get 311413s to shoot?), but
these two bullet designs have staying power.
My 31141 mold has base bands of .312"/.313", a front band of .303"/.304",
and a nose of maximum .300".
My M54 30/30 has no throat, the case neck dimension ends with a ?45
degree? angle getting right to the rifling. I've worked with the M54 and
various molds, 311299 and 314299 mostly, beagling and sizing and fiddling.
The 31141, sized .312", shoots as accurately as any bullet, approaching 1"
averages for five, 5-shot 100 yard groups.
My Martini 30/30 bench gun has a .310" cylindrical throat about .150"
long. I've worked with the same 311299 and 314299 molds, searching for
accuracy. Without gas checks. Here's a throat-fitting bore-riding
opportunity at its best. This gun has shot well, winning matches in Single
Shot competition, shooting a few under .3" 100 yard groups.
I don't shoot many 31141s in this gun, but when I do, sized .312", they
shoot almost as well as any other bullet. (I think I need the long '299s
for the wind.
Both guns shoot 308403s, that just have nothing to do with the throats,
very well but at low, (7/Unique), velocities.
These 31141 experiences aren't aberrations, we know that because the 31141
(and 311291) stay in the Lyman lineup-people are buying them.
I don't do much with the 311291, I have a mold with the GC shank milled
off that shoots well, but it's a short light bullet - that wind!
So am I starting a heresy? No, I don't want to be burned at the stake. I
am suggesting that for novices and even graybeards, bullets like the 31141
and 311291 will shoot accurately in most any 30 caliber rifle without the
shooter worrying about bullet fit and throats and chamber dimensions.
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