A Comparison of Proposed Small Arms Weapon Systems — BRL Memorandum Report No. 1139 (1958)
BALLISTIC
RESEARCH
M»tORANDUM REPORT NO.
LABORATOR I ES
1139
APRIL 1958
A CCMPARISON OF PROPOSED E.WJ.L AR-tS WEAPON SYSTE)ffi ( U)
W. c. Benjamin, Jr .
..,
R . L . Simmons
Requests for additi one ·
.&
-·.# ., , ~~ made direct to ASTIA .
~Z~~J:~~7 Approved for public release ~ Distribution is Unlimited
~ _i.'?J_.pro!!,.:J.91 ted
)lp~P,qBT~
_,~
Department of the Army Project No . 5B0305005
Ordnance Research and Development ProJ~ct No. TB3- 0230
ABERDEEN
PROVING
OG ' 13RA
GROUND,
i) AT '{ i ' I'Tt rll LS;
DEJl :~~ ~"" ' " " · .. ·r 1?. YEARS.
MARYL AN D
TABLE OF CONTENTS
Page
INT.RODUCTION •
• •
• •
• • • • • • • •
• • • • •
5
THE SALVO I EXPERD!ENT • • • • • • • • • • • • • • • • • •
6
THE WOUND BALLISTIC DATA • •
• • • • • • •
• • • • •
9
• • • • •
• • • • •
9
• • • • • • • • • •
10
•
• • •
11
•
l2
THE PROPOSED MULTIPLEX AMMUNITION
TBE PROPOSED CAL. • 22 WEAPON
WEAPON ACCURACY
•
C<MBINED RESULTS •
COOCLUSIONS
RroCHfENDATIONS
.• • •
•
•
• • •
•
•
•
•
•
• • • •
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13
14
B A LLISTIC
RESEARCH
L AB OR ATORIES
MEMORANDUM REPORT NO.
1139
WCBenjamin,Jr. /RLSimmons/is
Aberdeen Proving Ground, Md.
April 1958
A COMPARISON OF PROPOSED SMALL ARMS WEAPON SYSTEMS (U)
ABSTRACT
A comparison of proposed caliber .22, single ball, the proposed
caliber . 30 duplex and the caliber .30, AP rifle-ammunition combinations
has been made in an attempt to determine significant differences between
weapon systems.
The comparison is based on the expected number of
targets killed for ranges out to 400 yards for a fixed weight for rifle
and ammunit ion.
Dat a obtained from the Salvo I experiment and tentative
wound ballistic data have been combined with results of earlier Ballistic
Research Laboratories studies of small arms effectiveness in order to
make the comparison.
3
-
o. MD·
INTRODUCTION
Much information has been generated in an attempt to determine the
characteristics of an improved small-arms weapon system which would be
sufficiently accurate , lightweight, economical and reliable to produce a
significant improvement in kill probability over the standard rifle.
Of
primary importance in this investigation was the determination of wound
ballistic data for various projectile- types under consideration, for this
has permitted projectile performance to be isolated from the performance
of the weapon itself insofar as the production of casualties is concerned.
The Salvo I Rifle Experiment was designed to determine the hit performance of s~veral weapon- ammunition combinations.
This experiment
yielded valuable basic data concerning weapon accuracy, rate of fire,
hit probability, etc. under simulated tactical conditions .
The data obtained from Salvo I and the wound ballistic data have been
combined with results of earlier BRL studies of small- arms effectiveness
in order to compare the following weapon systems :
Cal • • .30, Ml rifle firing AP ammunition
Cal •• .)O, Ml rifle firing duplex ammunition
Cal •• 22 lightweight rifle firing a 50- grain lead core
projectile
5
THE SALVO I EXPERIMENT
The Salvo I experiment consisted basically of controlled tests of
rifle-ammunition combinations c-.gainst a programmed sequence of targets
where the targets appeared for only small intervals of time .
Factors
which were included in the t est set-up which do not lend themselves
readily to quantitative analysis included visibility, movement and confusing context of the target and simulated battle conditions which included detonation of explosive charges, blank fire from some of the
target positions, noise emanating from a PA system, etc.
The operation of the target system was controlled automatically
by a programmer which insured that each weapon would be tested under
the same conditions .
Targets consisted of 22 11 E11 and "F" silhouette-type
targets at ranges up to 350 yards .
to 35 seconds .
Target exposure times varied from 3
The weapon-ammunition combinations which were tested included the M1
rifle which fired caliber .30, AP, duplex and triplex ammunition; a
modified carbine which fired caliber . 22 carbine ammunition either automatically or semi-automatically; a modified T48 r ifle firing the caliber
.22 Sierra ammunition either automatically or semi-automaticallyj and the
12- gauge shot gun with the 32-flechette round of ammunition.
The data collected from the test consisted of a count of the total
number of holes in the target faces and the total number of rounds expended per run .
There was also a continuous recording of rounds fired
from each firing position and a continuous recording of hits on each
target.
However, the recorder systems used for such continuous recording,
were subjected to an excessive number of malfunctions, which therefore makes
questionable the use of data so obtained..
The Salvo data which have been
used in this analysis are simply the number of hits made and the number of
rounds fired .
These values were obtained either from the raw data published
6
by the Operations Research Office * and/or directly from ORO personnel .
It should be remembered that these data do not give the number of hits
obtained per trigger pull for the multiplex ammunition .
In order to determine the relative advantage of the multiplex
ammuniti on over the single ball rounds , the relative number of hits (with
respect to Cal . . 3QJAP) was computed 'for each weapon-ammunition combination tested .
This comparison is shown in the histogram of Fig. 1 .
From these values i t is somewhat surprising to note that the caliber .22
carbine results in approximately the same relative number of hits as
obtained with the duplex ammunition .
anomaly.
Two factors appear to cause this
First , by determining the relative rate of fire of each of the weapons
(i . e . , the number of rounds fired by each weapon against the complete target
complex) it is seen that the rate of fire of the caliber .22 carbine is
approximately 125% of that of the caliber . 30, AJ? while the multiplex
ammunition gives a rate of' fire slightly less than the caliber .30, AJ? .
The relative rates of fire of the weapons tested in Salvo I are shown as
a function of muzzle momentum in Fig. 2 .
Secondly, by determining the value of dispersion which vill result in
the hit probabilities as measured in Salvo I , where n
-.n
= n~er 0~ hitsd
n
er o
roun s fire~ ,
it is evident that the aiming error for the carbine is somewhat less than
the aiming error for the heavier weapons .
The fact that lightweight
weapons result in smaller aiming errors was also demonstrated in a series
of tests of rifles, carbines and pistols where aiming errors for each
weapon were measured as a function of target exposure time . ** The percentage
of hits for different target exposure times are shown in Fig. 3 for the
* "Preliminary Report On Salvo", 25 October 1956, Staff Paper by
Dr. K. L. Yudowitch, Operations Research Office .
** BRL Report No. 969 - "Rifle, Carbine and Pistol Aimihg Errors (U)
by K. L. Yudowitch and T. E . Sterne .
..
•7
11
caliber .22 carbine and the caliber .30, AP only since the data do not
yield such values for the multiplex ammunition.
It is felt that the
increased rate of fire and the decreased aiming errors Which appear to
be a function of the weight of the weapon resulted in the higher percentage
of hits for the caliber • 22 carbine.
The relative percentages of hits is
plotted in Fig . 4 as a function of range .
Combining these data with the
relative rate of fire yields the relative number of hits which is plotted
as a function of range in Fig.
5.
Included is an estimated value for the
caliber .22, 50-grain round, assuming the probability of hitting is equal
to that for the caliber .22 carbine and the relativ~ rate of :fire is a
function of the muzzle momentum.
8
THE WOUND BALLISTIC DATA
Firings of single projectiles against goats were conducted in or der to
establish the probability that a hit results in a kill.
Tentative data ,
for 100~ "Sure" kills only 1 have been obtained for the ammunition types
which were used in Salvo I. These data 1 plotted as a function of mass x
velocity 3/ 2 are given in Fig. 6. Very stable projectiles such as the
caliber .30 1 AP and the caliber .22 1 Sierra are seen to be relatively
poorer in ability to produce kills than the caliber .30 duplex which, 1n
turn, is inferior to the caliber • 30 triplex.
However 1 differences between
the curves are not large for most velocities considered.
THE PROPOSED MULTJJ>LEX AMMUNITION
A modification of the present caliber .30 projectile to replace the
single projectile with either 2 or 3 shorter projectiles of the same
diameter has resulted in the development of the duplex and triplex rounds.
Since the tests of Salvo I 1 the multiplex principle has been extended to
rounds of smaller calibers •
The caliber • 30 duplex round contains two 96- grain projectiles packed
in tandem in the cartridge case.
To accommodate the two projectiles the
neck of the cartridge case was extended, resulting in a slight modification
of the weapon itself.
The triplex round contains three 61- grain projectil~s.
Since the total weight of projectiles is approximately the same for both the
duplex and triplex rounds their muz.z.le velocity is the same -- about 26oo
tps.
This is a reduction of about 200 fps. below the velocity of the
standard caliber • 30 rounds.
The increase in single shot hit probability which results from the
multiplex rounds is brought about by the dispersion between the leading
projectile and the other projectiles which have canted bases to induce
dispersion.
The leading projectile is about as accurate as the standard
single ball round.
9
THE PROPOSED CAL. •22 WEAPON
An earlier BRL study * indicated that a projectile which tended to
tumble soon after target impact also tended to result in greater kill
probabilities.
As a conclusion to this study, it vas shown that a caliber
.22 projectile weighing 50-grains could be made to result in good vound
ballistic performance if the transverse moment of inertia were sufficiently
low to encourage tumbling immediately after impact.
This resulted in the
recommendation of a caliber .22, 50- grain lead core proJectile.
The initial velocity required for the proposed projectile has been
assumed to be that which satisfies the CONARC requirement for a helmet
penetration at 500 yards.
For the 50-grain caliber .22 projectile this
velocity is approximately 3500 fps.
In order to establish th~ wounding power of this projectile 1n the
absence of actual YOund ballistic data for the specific design and velocities,
it bas been assumed that the 50- grain projectile which tumbles soon after
2
impa.ct will follow the same M!/3 / - PHK laws as those observed vith the
caliber .22 carbine and the triplex ammunition.
Caliber .22 weapons tested in Salvo I included a modified carbine and
a modified T48.
Both of these weapons were originally designed as caliber
.30 weapons and are, therefore, of greater weight than required for caliber
.22 use.
Discussions with Springfield Armory personnel have indicated that
a more realistic value of weight for a caliber . 22 rifle would be approximately 6. 5 lbs .
This value has been used in this stu~ .
However, recent
information received has indicated that a caliber .22 rifle which fires a
53-grain projectile at about 3300 rps . has been successfully demonstrated
to CONARC personnel.
This weapon weighed only 5 lbs.
It appears 1 therefore,
that the weight of 6.5 lbs. is probabl~ a conservative estimate.
* "Upon Selecting an Optimum Rifle Round (U)" by Donald L . Hall and
Billy 8. Campbell - BRL Memo 1055 .
10
WEAPON ACCURACY
The effectiveness of a small- arms weapon is greatly influenced by the
accuracy with which it can be aimed.
The tests of Salvo I indicated that
the aiming accuracy varies with the weapon.
A meaningf'ul comparison of
weapons must, then, be based on accurate estimates of aiming accuracy for
each rifle .
Using the Salvo I data as fully as possible, the standard deviation
of a::lm error for the caliber . 30 weapon was obtained as follows:
The probability of a hit was defined to be the ratio of the
number hits per target to the number of rounds expended per target .
Assuming
that the targets were circular, the standard deviation (o) for each target
at each rang~ was computed by
R2
2
P :::: l -e -2o
H
where R is the target radius .
Since some of the targets had many more rounds expended on them than
others , because of the varying target exposure times, the individual values
of C1 were weighted by the corresponding number of rounds expended per
target.
These values -were summed over the complete target system and
divided by the total number of rounds ex:Pended.
The average value of o
thus obtained for the caliber . 30 weapon is 3 .8 mils.
The accuracy of the caliber .22 carbine, based on the same method of
computation is approximately 3 mils.
This value has been used to estimate
the accuracy of the caliber .22 light-weight rifle.
Although test data
are not available \o support this value it is felt that sufficient data
are available to indicate significant differences in aiming errors between
weapons .
A 3-mil standard deviation can then be used as a rough indication
of the gain in effectiveness which can be achieved by a reduction of aiming
errors .
CCMBINED RESULTS
A comparison of the proposed caliber .22 projectile, the proposed
caliber . 30 duplex ammunition, and the caliber . ;£>, AP has been made in
an attempt to determine significant differences between weapons .
Interpolating in the graph of Fig. 2 to the muzzle momentum of the
caliber . 22 50-grain projectile at a velocity of 3500 fps. indicates an
expected rate of fire equal to 12~ of that measured for the caliber .30
weapons.
The expected relative number of hits w.s then computed and
entered in the graph of Fig. 5.
Computation of the wound ballistic data for the three weapons considered,
results in the graph of Fig. 7.
Limiting ranges for helmet penetrations
have been included for comparative purposes .
In order to determine expected hit performance of the duplex ammunition,
the standard deviation of miss distance w.s computed for the caliber . 30,
AP.
Using this value and a fixed angula.r dispersion of 2 . 5 mils between
the front and the second bullet, probabilities of hit were computed using
the method of BRIM 1030. * Probabilities of hitting are plotted in Fig. 8 .
The probability of killing for single projectile ammunition is obtained
simply by multiplying the probability of hitting by the probability that a
hit is a kill.
For duplex ammunition, the probability of a kill is given by
PK = phl
phl<J. + (P~ Phl<2)(1-Phl phKi)
where P~ = the probability of a hit with the first bullet,
PhK..
--"'l.
P~
P~
-1:!
= the probability
t.hat a hit by the first bullet results in
a kill,
= the probability of a hit with the second bullet
= the probability that a hit by the second bullet results in
a kill.
The probability of killing is given as a function of range in Fig. 9.
* BRIM 1030 -
11
Evaluation of a Salvo Rifle (U)" by Donald L. Hall and
Ed 8. Smith
-
- -
.- .
The relative effectiveness of the rifles compared is defined as the
ratio of the products of the kill probability times the relative rate of
fire, i.e . ,
Ph PhKlx (Relative Rate of Fire)
1
1
Relative Effectiveness·; p~ phK2 x (Relative Rate of Fire)
2
where the subscripts denote a specific weapon . For these calculations the
reference has been chosen as the caliber .30, AP round fired from the
standard Ml rifle .
Relative effectiveness over the range of targets in the
Salvo I teat is given in Fig. 10 .
For a fixed weight of rifle plus ammunition the relative expected
number of targets killed has been determined.
These values are based. on
the following weights of weapon and ammunition:
Weapon
Weapon WT.
Ammo .
Cal. . 30, Ml
9. 5 lbs .
9.5 lbs.
6. 5 lbs.
JU> .
Cal. .30, Ml
Cal • •22
Duplex
50 grain
Ammo. WT .
414 grains
449 grains
170 grains
Tfie relative expected number of targets killed is plotted in Fig. ll for
~rifle plus
total ammunition weight of 15 lbs.
CONCLUSIONS
Differences between ammunition- types insofar as wounding power is
concerned, are rather small.
Because of this small difference it appears
that i f the military requirement for helmet penetration at 500 yarga is
met, the choice of one weapon system over another will be based on other
characteristics .
Insofar as single shot effectiveness is concerne~a superiority for
the duplex ammunition is indicated provided the weight is not a factor to
be considered.
For sustained fire, the higher rate of fire for the lighter
weapons tends to reduce the overall differences so that the differences
between the relative effectiveness of the caliber . 22 s ingle bal~
and the caliber . 30 duplex are not significant.
Significant differences between weapons have been obtained when the
weight of the weapon is considered or when a difference in aiming errors
is assumed.
With respect to this conclus ion it must be reiterated that
aiming errors for lighter weapons are apparently less than for heavier
weapons -- a factor which should be investigated more fully by tests •.
If the weight of rifle plus ammunition is of great importance the
conclusion of this study becomes quite obvious.
"'
A light-weight caliber
.22 rifle with the 50- grain projectile will result in a considerably
greater effectiveness than the other weapon systems compared.
RECOMMENDATION
Since the proposed light-weight caliber .22 weapon system appears to
offer considerable promise, particularly in so far as single- shot hit
probability and overall weight are concerned, it is recommended that a
" rogram be initiated to determine the required data to evaluate more fully
·'t
the proposal to use a lighter weapon.
This program would require some
development of a rifle and corresponding ammunition and also include
sufficient testing to provide data for comparison with competitive
weapons.
v.e.~,~·
W. C. BENJAMm, JR.
R. L. SlMMONS
---
14
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No. of
Copies
2
10
Organization
:.·
DISTR:rnu.riON LIST
No. of
Copies
Chief of Ordnance
Department of the Army
washington 25, D. c.
Attn: ORDTB- Bal Sec
ORDTS
British Joint Services
Mission
18oo K Street, N.W.
Washington 6, D. C.
Attn: Mr. John Izzard,
Reports Officer
Organization
2
President
U. S. Army Infantry Board
Fort Benning, Georgia
2
Commandant
The Infantry School
Fort Benning, Georgia
Attn: B- 3
1
Commanding Officer
U. S. Army Chemical Warfare
Laboratories
Army Chemical Center, Md..
4
Canadtan Army Staff
2450 Massachusetts Avenue
Washington 8, D. C.
3
Chief, Bureau of Ordnance
Department of the Navy
Washington 25, D. c.
Attn: ReO
Attn: Medical Laboratoxies
Dr . Herget
2
Commanding Officer
Springfield Armory
Springfield 1, Massachusetts
2
Commanding General
Frankford Arsenal
Philadelphia 37 1 Pa.
Attn: Pitman-Dunn Labs .
Ballistic Division
1
2
Commandant, Marine Corps
Headquarters, U.S. Marine
Corps
Washington 25, D. C.
1
Commandant
Marine Corps School
Quantico, Virginia
Commanding General
Ordnance Weapons Command
Rock Island, Illinois
Attn : Research Branch
1
Chief of Naval Research
Department of the Navy
Washington 25, D. C.
Attn: Code 463, Room 18o4
Building T3
The Johns Hopkins University
Operations Research Office
6935 Arlington Road
Bethesda 14, Maryland
Attn: Dr . K. L. Yudowitch
10
Director
Armed Services Technical
Information Agency
Arlington Hall Station
Arlington 12, Va.
1
Commanding General
Continental Army Command
Fort Monroe, Virginia
Attn: Assistant Chief of Staff
for Materiel Develop.
1
Commanding Officer
Diamond Ordnance Fuze Laboratories
Washington 25, D. C.
Attn: ORDTL-06.33
TE<ID'., ('AT
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ABolY ..,APG, Md • -D