"13EFORE COMPLETING FORM 1. REPORT NUMBER 2. GOVT ACCESSION NO. 3. RECIPIENT'S CATALOG NUMBER
|
|
|
- Melvin McDowell
- 10 years ago
- Views:
Transcription
1 .INCLASS IT ED SECURITY CLASSIFICATION OF THIS PAGE (W"aen Dete Entered) REPORT DOCUMENTATION PAGE REV)D INSTRUCTIONS "13EFORE COMPLETING FORM 1. REPORT NUMBER 2. GOVT ACCESSION NO. 3. RECIPIENT'S CATALOG NUMBER 4. TITLE (and Subtitle) 5. TYPE OF REPORT & PERIOC" COV.:RED US ARMY TEST AND EVALUATION COMMAND TEST OPERATIONS PROCEDURE ri ni. "FRAGMENT PENETRATION TESTS OF ARMOR" 6. PERFORMING ORG, REPORT NUMBER "i 7. AUTHOR(.) 8. CONTRACT OR GRANT NUMBER(e) 9. PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT. PROJECT, TASK AREA & WORK UNIT NUMEFRS US ARMY ABERDEEN PROVING GROUND (STEAP-MT-M) ABERDEEN PROVING GROUND, MARYLAND DARCOM-R CONTROLLING OFFICE NAME AND ADDRESS 12. REPORT DATE 'US ARMY TEST AND EVALUATION COMMAND (DRSTE-AD-M) Mr--' 1O - ABERDEEN PROVING GROUND, MARYLAND P S~~~13 -NUMB "E'N" A G"ES 14. MONITORING AGENCY NAME & ADDRESS(If different from Controlling Office) 15. SECURITY CI.ASS. (of this report) Unclassified ISa. DECLASSIFICATION/DOWNGRADING SCHEDULE 16. DISTRIBUTION STATEMENT (of ide Rleport) Approved for public release; distribution unlimited. 17. DISTRIEUTION STATEMENT (of the abeiract entered in I3lock 20, It different from Report) ". 1~i VU, 1 ' I. SUPPLEMENTARY NOTES KEY WORDS (Continue on reveree side It necessary and Identlify by block riumber) Ammunition Fragments Vehicle, Tracked SArmor Penetration C:. Fragmentation Projectile * LU 20. ABST-rACT -C'antlr,. r Fever". sil Ft naco=wry end Identify by block numbhr) Provides techniques for evaluating armor resistance to attack by HE projectile fragments. Includes static detonations of shell against armor plate and armored C vehicles and firing tests using projectile fragments, fragment simulators, and simulated fragments in a carister. Includes index of test data from static 0} detonations of 105-mm and 155-mm projectile fragments against armor, fragment characteristics tables, and technique for calculating fragment perforation probability using Poisson distribution. DD I JA14y E0iTION OF I NOV 65 IS OBSOLU-TE SECURITY CLASS!FICAt ION OF THIS PAGE (When Del. Entered)
2 US ARMY TEST AND EVALUATION COMMAND TEST OPERATIONS PROCEDURE DRSTE-RP *Test Operations Procedure March 1983 AD No. FRAGMENT PENETRATION TESTS OF ARMOR Paragraph i. SCOPE FACILITIES AND INSTRUMENTATION REQUIRED TEST CONDITIONS TEST PROCEDURES Static Detonation of HE Projectiles Against Armor Plates ("Yankee Stadium" Test) 4.2 Gun Firing of Projectile Fragments Gun Firing of Fragment Simulators Gun Firing of Simulated Fragments in a Canister Static Detonation of HE Projectiles Against Armored Vehicles Appendix A. INDEX OF TEST DATA ON HE PROJECTILE FRAGMENTS,... A-i VERSUS ARMOR B. FRAGMENT CHARACTERISTICS OF 105-MM AND 155-MM SHELL... B-I C. CALCULATION OF THE PROBABILITY OF FRAGMENT PERFORA-... C-I TION USINC POISSON DISTRIBUTION D. REFERENCES * D-1 1. SCOPE. This TOP describes the available techniques for testing armor for resistance to attack by projectile fragments. It includes the following: a) static detonation of high-explosive (HE) projectiles against armor plates; b) gun firing of projectile fragments; c) gun firing of fragment simulators; d) gun firing of simulated fragments in a canister; and e) static detonation of HE projectiles against armored vehicles. The basic methods applicable to each test may be modified to suit specific test requirements. While methods a) through d) are apdlicable to body armor a.s well as to vehicle and aircraft armor, additional instructions on testing body armor with fragment r;imilators (method c)) are contained in TOP ** 2Test techniques for testing armor with projectiles are contained in TOP *This TOP supersedes TOP dated 25 October **Footnote numbers correspond to reference numbers in Appendix D. Page Approved for public release; distribution unlimited. 4.
3 Because of the extensive use of HE projectiles in combat, armored vehicles of all types are required to provide a high degree of protection against shell fragments. Also, since fragmenting munitions have been responsible for a high percentage of combat casualties, protection through body armor is a matter of continuing concern. Thus, tests to determine the protection afforded by vehicle and body armor against shell fragments have been given considerable attention. Some indication of the ballistic protection afforded by armor against a fragmentation threat may be determined by laboratory and mathematical techniques based upon established empirical relationships. It is necessary, however, to rely upon ballistic testing, incorporating all of the factors important to a fragment/plate interaction, for an accurate measure of the protection against a given threat, and for establishing baseline data. Fragment penetration testing of armor is conducted to fulfill a variety of requirements such as: a. Determining and romlparing the fragment penetration resistance of various thicknesses and types of experimental materials. b. Evaluating vehicle overhead, frontal, and flank protection based on design (or threat) requirements st'pulated in requirements documents. c. Checking ballistic quality of production armor against minimum acceptable requirements (acceptance testing). d. Determining the lethality of fragments that pass through the armor. Many parameters are involved in fragment attack on armor, including: a. Projectile parameters: caliber, velocity, angle of fall, direction from target, distance from target, explosive type, type of casing, type of fuzing b. Armor parameters: type, thickness, obliquity to attacking fragments, * mechanicalproperties, areal d nsity; body armor usually falls in the range of 1 to 20 kg/mr (0.2 to 4.0 lb/ft ), while ýehicle armor for fragment consideration falls within tile range of 34 to 244 kg/m (7 to 50 lb/ft 2 ). This TOP is an outgrowth of reference 9c, Appendix D, which contains additional details oln fragment penetration tests of armor. 2. FACILITIET S AND TNSTRPMENTAT!ON. Th. r. ind aed in t.,, d 4 1 Sub. tests below. In addition to velocity-measuring equipment, the following facilities are required for gun firing of projectile fragments (see 4.2): a. Smooth bore weapon. The caliber is determined by the size and weight of the fragment and velocity range to be explored. Calibers to 37-mm are employed. b. Sabot. The sabot material is usually a type of plastic (linenbase phenolic, lexan, etc.), with the design, diameter, and length determined by the weight and shape of the projectile fragment. The fragment is held in position on the sabot with paste or a nonhardening adhesive. Reference 9h describes firing with a sabot. Teflon pushers are placed behind the sabots to act as obturators. c. Sabot stripper or tipping device. The standard cal.22 or cal.30 stripper screwed to the gun muzzle or the NRL (Naval Resc;rch Lab) tipper device is neecssary to separate the fragment from the sabot (see a Lso ref 9c, App. D). A sabot-discarding aid is also used. This is a steel deflector plate,. 6 -cm 2_.
4 (1/ 4 -in) minimrum thickness, with a 2.5- to 3.2-cm-diameter (I- to 1-i/4-in) hole aligned with the center of the gun bore, between the gun muzzle and the first break screen. d. Velocity break screen. A 10-by cm (4-by 6-1/ 4 -in) (minimum) manifold paper with silver circuit grid, line space and width determined by fragment size, may be located both in front of and behind the target to initiate * velocity-measuring instrumentation. e. Yaw cards. These consist of double-weight, color-print photographic paper located within 2.5 cm in front of the target to show the presented area of fragments at impact. f. Witness material. Building board, 1.3 cm (1/2 in) thick is used to catch residual fragments which are recovered for analytical purposes. g. Target holder. A rigid structure made of nonmetallic material is used to hold the target in a fixed pcsition when the flash X-ray method is used. Facilities for Subtest 4.4. The parallelepipeds, cubes, or other shaped simulated fragments in various weight ranges are packed in layers in a standard canister or a specially desigaed sabot. In a typical test program, artificial fragments made from SAE 4140 steel are heat-treated to a hardness of Rockwell C , placed in a modified 90-mm M366 canister projectile, and fired from a 90-mm gun. Two 1.8--by 1.8-mr (6-by 6-ft) target plates are mounted side by side 15 m (50 ft) from the muzzle. A 0.3-m space is left between thu plaltes to clable the base of the canister projectile to pass between without damaging the plates. Other details are contained in reference 9c (App. D). 3. REQUIRED TEST CONDITIONS. Armor plates are given a laboratory check if there is a question about their mechanical properties. Other preliminary activities are described in the applicable sections below. 4. TEST PROCEDURES. 4.1 Static Detonation of HE Projectiles Against Armor Plates ("Yankee Stadium" Test-) hcjective. The objective is to determine the resistance to penetration of various armor materials, thicknesses, and composites against actual fragmenting munitions, and to use the data to build up a data bank. This procedure deals with flat plates only; similar procedures may be used, however, on the few occasions when fabricated assemblies are tested. NOTE: An index to the data bank of HE projectile detonations that have been con-- ductod against armor is included in Appendix A Method. Position the plates to be tested in a circular array at a specified distance and orientation from a given HE projectile to represent a given attack condition. Most often, you should mount the projectile vertically so that the targets will receive the main spray of the bursting shell. The main spray, characterized by high-velocity and high fragment spatial density, consists of those fragments that fly off to the side of the projectile over the approximate range of 80' to 105' from the nose of the projectile (,:ee Figure 1). 3
5 0 TOP March 1983 VaFmin Spray 2Lz? 250 Main Spray, / Figure 1. Main spray region of 105-mm and 155-mm projectiles. The fragment density, from nose to tail of projectiles, 105-mm, HE, M14 and "155-mm, RE, M107, both TNT-loaded, and the velocity distributions are included in Tables B-i and B-2 of Appendix B. These projectiles produce consistent fragmentation natterns from round to round. As a consequence, the detonation of five rounds of each is usually adequate to assess penetration resistance provided that approximately 18.6 sq m (200 sq ft) of target area are provided. When several types or thicknesses of material are to be tested under like conditions, it is best to increase the number of projectiles and reduce the square feet of each target. The number of perforations will depend on the target material, thickness, obliquity, and distance. When individual plates are tested, they are best supported by being positioned on a wooden frame braced at intervals as required. The targets normally are placed tangent to the circumference of a circle of prescribed radius, and tilted back 80 from the vertical to provide for perpendicularity of fragment impacts. If oblique targets are intended, the desired obliquity is added to the 80. Figures 2 and 3 show a typical test setup. 4 1, -_. 4.
6 0TOP March Al Ins C Figure 2. Setup for fragmentation test of armor.
7 \, 0'n0 C)Lt! 0 PL4 0 OO 0 N) H~. C04J 0 r I Qr CrN E4fl t-ce4j 4-J 4-1.~ rrj ~rd >I OK-A U00 Figure 3. Schematic diagram of typical HE projectile fragmentation test setup.
8 Position the projectiles vertically on a pedestal at the center of this circle at a height that will cause the densest part of the main spray (983 angle from nose) to strike the vertical center of the targets. Unless special test conditions are specified, mount the projectile nose up. Check the vertical alignment in two directions 900 apart using a plumb line. Since a deviation of 10 displaces the main spray 0.5 m (1-1/2 ft) at a distance of 27 m (90 ft), take care to make the projectile absolutely plumb. The fragmenting projectiles are generally provided with modified fuzes to allow ready acceptance of electrical firing detonators. After positioning the projectile, insert the firing device, and detonate from some remote and protected area. It is important that the modification of the fuze does not modify the fragmenta-- tion pattern of the projectile. To assure proper orientation of the projectile and to separate results into angular zones, the targets are provided with horizontal lines, one through the center and the others spaced 10 apart, centered on the projectile. Fragment penetrations from individual projectile bursts are identified by painting hits with distinguishing colors Data Required. Record the following test data: a. Projectile - full nomenclature, including type of fuze b. Distance from center of arena to the target c. Target obliquity in degrees d. Fragment spray zone uoveled by Largets, in degrees (e.g., 95.6' to from nose) e. Target material, thickness and alloy temper, mechanical properties, and military specification as appropriate, and manufacturer's name f. Target area (including length and width of individual plates) g. Number of fragment perforations for each round fired, their dimensions and locations h. Number and definition of significant hits, and their locations with respect to 1V zones Analytical Plan. a. To analyze the fragmentation effects on the target plates, you must establish criteria for hits and perforations. The following definitions apply: (1) Significant hit (sometimes called valid hit or effective hit) - any penetration equal to or greater than 0.3 cm (1/8 in) deep for steel targets and equal to or greater than 1 cm (3/8 in) deep for aluminum targets. (Other definitions, such as the ability to perforate a 16-gage mild steel plate placed in front of the target, have been used in the past but are discouraged.) (2) Periouation - any penetration wherein some target material is displaced from the rear of the plate or the fragment passes completely through the plate. (This definition closely resembles the definition of a complete penetration under the "protection" criterion (TOP ), but for this application, a thin-gage aluminum witness material is not really necessary.) b. Determine the number of significant hits per square meter and the perforations per square meter for each round. (Separation into 10 zones is usually -,, Yr. 7.
9 desirable.) Additionally, calculate the percent protection for each round, for the total of all rounds, using the following formula: and Percent protection = siificant hits c. Also determine the probability of perforation (for a given zone of the spray - see 4.1.3d above), using the Poisson distribution. In this case, the number of hits (which is really arbitrarily defined) is not considered; only the perforations from each round on a given area at a given distance are considered. If a confidence coefficient is not given, it is assumed to be.95. Make the following determinations, as a minimum, following testing under each condition, with plates positioned X meters from the projectile. Probability of no perforations per round per sq m at distance X. Probability of 2 or more perforations per round per sq m at distance X. Probability of perforations per rounds per sq m at distance X (as specified in directive). The details for making these determinations are contained in Appendix C. d. In each case when plates are at an 80 tilt, the actual angle of obliquity of the plate with respect to incoming fragments may be in the range of 0' to 6' which includes the effect of gravity on the trajectory of fragments. For all practical purposes, however, this is considered to be normal attack condition, i.e., 00 obliquity. e. The only fragments of consequence against vehicular armor are those that are heavy and originate with high velocities. Aside from negligible exceptions, these fragments are found in the 800 to 1050 main spray. Important in this regard is the fact that the velocities of large fragments do not decrease with distance as rapidly as velocities of small fragments, as shown in Table B-3, Appendix B. If, for some reason, there is a requirement to interpret results in terms of other angular zones in addition to those covered by the targets, the perforations to be expected in the various zones of the main spray will be in proportion to the number (after data smoothing) of fragments over 400 grains from 105-mm shell, and over 750 grains from 155-mm shell (Tables B-i and B-2, App. B). f. To interpret data from 0' obliquity attack in terms of attacks at other obliquities, it is desirable to use a computer model such as that developed by Army Materiel Systems Analysis Agency (AMSAA). A simplification, which is less accurate, is to assume that the plate resistance will be constant for the same straight line distance through the plate - the so-called cosine relationship wherein, for example, 5.0 cm at 00 is considered equal to 2.5 cm at 600, or: Thickness at 0 = (Thickness at 00) (Cos 0). The AMSAA computer model, using the data from tests such as these, can develop curves such as those of Figure 4. 8
10 NOTE: The test engineer should be aware that this test provides data on the penetration resistance of armor against statically detonated RE projectiles only. The test does not produce the velocity of a projectile detonating in flight. This velocity contributes a forward coiqeonent to the velocity and direction of the fragments, relative to the projectile. > 0.5- "0.4- Qý4 0 r-.i 01 J 0.' -~44.H -W 4J 0,2-4.4 'H 04 -o.1 ci-qi-. L Armor Thickness (in.) Figure 4. Probability of perforations in roof of XYZ vehicle from a volley of mm projectiles against a tactical array of 8 vehicles. 4.2 Gun Firing of Projectile Fragments. a. Objective. To obtain precise penetration data using actual fragments when static detonations (para 5) are considered lacking sufficient control and simulated fragments (para 7) are not considered adequate. These tests often include the measurement of residual velocity (fragment velocity remaining after a 9
11 compiete penetration of the armor) to assess the lethality of the fragments that penetiate, particularly in connection with body armor. This section deals primarily with vehicular armor. For tests of body armor, see TOP b. Method. In this test, use actual shell fragments recovered from static detonations of HE projectiles. (For tests of vehicular armor, fragments from 105-mm and 155-mm shell are frequently used. For tests of body armor, fragments from mortar shell and foreign ammunition are more appropriate.) Use a soft recovery technique, generally employing wallboard which will not damage the fragments. TOP describes a method for recovering a small portion of the main spray. To recover all of the main spray would require that wallboard be stacked all around the sides of the projectile at an appropriate standoff. Mount, in a sabot, each recovered fragment to be fired. If residual velocity (behind the target) is to be obtained, the technique used to measure residual velocity is also used to measure velocity before impact Velocity Measurement Techniques. The two methods that may be employed to measure fragment velocities are (a) the flash X-ray method which should be used when the target may break up, such as during testing of metallic or hard-faced composites; and (b) the chronograph, break screen (or lumiline screen) method which is generally used when nonmetallic or fabric-type targets are to be tested. The break screens are used to trigger the X-ray tubes and chronograph. Flash X-ray (radiographic) techniques are generally covered in TOP , with specific information on velocity measurements in TOP Chronographic techniques are described in TOP The setups used in testing body armor (which are also applicable for vehicular armor) are shownr in TOP Velocity measurements of fragments require that special drag coefficients be obtained from appropriate sources. Gun-to-target distances will vary. They may be as little as 132 cm (52 in) for very small fragments fired at body armor, although 3 to 4.9 m (10 to 16 ft) is more common. Vehicular armor may require distances as great as 12 m (40 ft) Determining a VS0 Ballistic Limit. Select fragments to be fired that are as close to the prescribed weight as possible, and choose fragments with characteristic shapes. For vehicular armor, this is preferably within (+) 5%, but not beyond (+) 10%; for body armor where fragments of 2 to 70 grains may be used, this is preferably (+) 2% to 3% but not beyond (+) 5%. The range of fragment weights rhat must realistically be tolerated within a given weight category is a factor that tends to promote a large zone of mixed results during the determination of a V50 ballistic limit (see TOP ). An even more significant factor in this regard is that the wide variety of shapes, hardness patterns, and impact orientations that are possible with randomly selected fragments within the same weight category will result in great variations in the penetrating efficiency of the different fragments. Thus, within the constraints of a typical test program, the V50 ballistic limit determination can, at best, only be considered a fair approximation. The wide variations in the attacking missile cause a considerable amount of data scatter. (This is the primary reason that the methodologies of paragraphs 4.3 and 4.4 are often preferred to shooting actual fragments.) To determine the V50 ballistic limits, the up-and-dnvwn firing technique is usually employed (TOP ), with the ballistic limit being based, when practical, upon the average of 10 striking velocities: the five highest partial penetrations and the five lowest complete penetrations occurring within a velocity spread of 46 m/sec (150 ft/sec). Six or eight striking velocities have also been used as a "10
12 base but are less desirable. A complete penetration is defined by the "protection" criterion; that is, an impact that results in either a portion of the plate or fragment moving behind the plate with sufficient energy to perforate a witness sheet of cm (0.020-in) aluminum. Fragment velocities are controlled as usual by varying the weight of propellant. In doing so, however, the varying weights of the combined weight of sabot plus fragment must be considered. A suitable approach when testing vehicular armor is to fire one of the mediumweight fragments and use the following empirically derived relationship to detcrmine propellant weights for subsequent fragments: C 2 = C 1 [I + 1/2 (P,, - Pl)]* C, = weight of propellant charge of initial firing SP 1 = combined weight of sabot and fragment of initial firing C 2 = weight of propellant charge, second firing P2 = combined weight of sabot and fragment of second firing 4 *Use + if initial firing results in a partial penetration; use - if initial firing results in a complete penetration Determining the Critical Fragment Weight, W50, to Defeat A Target. This test has the potential of eliminating the need for the static detonation test (para 4.5) while producing more explicit data in a simpler manner, using far less Starget area. The test attempts to sinulate the static detonation test by assuming that the target is located at a certain distance from the shell and firing individual fragments (from guns) to impact the target at the same velocity that would have occurred had they been launched by the static detonation of the shell. a. Objective. To determine, for a target at a given distance from a shell, what weight of fragment from the shell's main spray (at a known initial velocity) "would be required to defeat the target. This test (as with all tests of armor) can produce a zone of mixed results; this leads to the concept of the W50 critical weight, or the weight of fragment that will cause complete penetrations (perforations) of the target 50% of the time and partial -enetrations 50% of the tm. Sce data are aiteady available on the distribution of fragment weights o and velocities (Tables B-i and B-2, App. B), it will be possible to determine how many fragments from the main spray of a particular shell have the potential of defeating the target. b. Method. It is necessary first to select actual fragments to cover the appropriate range of weights. Use available velocity data (e.g., Table B-4, App. B) to establish the velocity for each weight of fragment. (Drag varies uith weight; the heavier the fragment, the higher the velocity at a given distance.) Fire the fragment whose weight is estimated to be closest to the 1450, first. Place it in a sabot and fire from a gun to impact at the prescribed velocity. If a partial penetration occurs, the next fragment should be heavier; if a complete penetration, the next fragment should be lighter. Weight changes should not be under 10%. Once both a complete and partial penetration have been obtained, confirming firings are desirable. The W50 is the average of an equal number (usually two) of the lowest complete and highest partial penetrations occurring within 11
13 a 35% weight range. A typical example, assuming a target 27.4 m (90 ft) (Tables B-3 and B-4, App. B) from a 155--mm shell, is shown in Table 1. For all practical purposes, the W50 may be considered the absolute dividing point between 100% complete penetrations and 0% complete penetrations. While the actual situation is probabilistic, it may be considered deterministic. Actually, varialiuns in the W50 by a few percentage points are insignificant in the total picture. (This test method was first proposed in ref 9m and tried in the study reported in ref 9c, App. D.) TABLE 1 - Example of Firing to Determine W50 Fragment Weight, Impact Velocity, Round No. grains fps Result PP PP CP CP W50 = 1188 grains Determining Residual Velocities. Conduct test programs for determining residual velocities to determine the ability of armor to reduce the velocity, and therefore lethality, of fragments that can perforate the armor. Since this procedure ib almuol exclusively used in connection with the testing of body armor, it is covered in TOP which deals with body armor testing. 4.3 Gun Firing of Fragment Simulators Objective. To evaluate the fragment resistance of lightweight armor by attacking with hardened steel configurations designed to simulate fragments. Advantages. This test method has the following advantages over other fragment tests: a... Missiles f consi.stent weight, shap e, a-nd propc"t,es are used, p-ruit-- ting consistency of test conditions. b. Missiles can be mass-produced and are relatively inexpensive. c. Precise velocity control is easily achieved. d. Small targets and modest range facilities are possible. Disadvantages. For some purposes, the fragment simulators do not simulate fragmpnts adequately. While they can screen materials, fragment simulators cannot show what the performance of a target will be against actual fragments launched by projectile detonations Types of Fragment Simulators. There are basically two types of fragment simulators; a. A standard fragment-simulating (FS) projectile that is a widely used, specific type of solid steel projectile available in different weights. b. Various other geometric shapes most of which require sabots for launching. 12
14 Standard FS projectiles, described in TOP , are homologous in shape; produced in sizes of cal.22 (17 grains), cal.30 (44 grains), cal.50 (207 grains), and 20-mm (830 grains); and procured under MIL-P-46593A (ORD)and Amendment 1 thereto (ref 2, App. D). The FS projectile is an attempt to produce fragments that are standardized and do not require a sabot for firing. It was expressly developed for evaluating the fragment resistance of development body armor and lightweight aircraft and vehicle armor. FS projectiles are also employed in the acceptance testing of body armor. Cubes, suitable for mounting in sabots, have also been standardized and are procurable under MIL-P (MR) (ref 1, App. D). Cylinders, parallelepipeds, darts, and spheres have also been used. Some of these are shown in Figure 5. CUBE SHELL FRAGMENT CAL.125 WEFGHT -32 GRAINS E -I17 GRAINS 10 GRAINq CUBE SP-ELL FRAGMENT 27 T-AiS CAL40 WEIGHT -60 GRAINS WEIGHT- 44 GRAINS 22L GRAINS 600 GRAINS 34 GRAINS * CUBE N.'P' P,'LLELEPICEDS YAW DART MIS,'LE5S "WEIGHT GRAINS ilil " lili FRAGMENT INm PLAS IC S DE SIDE VIE CARRSI? Ii VIEW 'OF CUBE IN PLASTIC CA, 51, 'RAV'; IT CARRIER S 16 V5 C-'L '? 'LACTIC OF 44-AFlAIN q C4Rýp- FRAGMENT IN CAL "0 CAL 22 CAL 3r1. CAL -15 CAL 50i I PLASTIC WEIGHB - I WEIGHt- WEIGH.-,EIGHT- WEIGHT- 58GRAINS IZIGRAINS 44 GFAIrNI517 GRAINS 207GRA.NS NAVY C'JBL FRAGMENIS FROM FRAGMENT SIMULATING PROJECTIL-ES TEST DETONATED 105 MM HE SHELL. MI. SIII j 2 II J I Il l f IF I II I ARMY MATERIALS AND MECHANICS RESEARCH CENTER Figure 5. Typical fragment simulators used to evalnafe armnor, Characteristics of Fragment Simulators. The orientation of the fragment simulator upon impact with a plate has a considerable effect upon the efficiency of penetration and is a factor in the scatter of data. A cube, for example, hitting on a corner will penetrate more easily than if it hits on one of its flat sides. This is not a problem with FS projectiles when fired at a 0' obliquity target, but does become a factor with oblique targets because penetration is less efficient if the projectile strikes on a tapered portion of its nose rather than on an untapered portion. Right circular cylinders do not have this disadvantage at obliquities while retaining the advantage of not requiring sabots. A major disadvantage of cylinders is the sparsity of data concerning them for use in comparison with materials tested in the past. Spheres, of course, provide perfect consistency of impact orientation, but their use is not recommended because of their marked dissimilarity to fragments. The vast majority of tests with fragment simulators employ the standard I'S projectile for several reasons: a large amount of past data involving them are 13
15 available; they are readily available in several weights, relatively inexpensive to fire, and they reasonably simulate fragments. Thus, nearly all body armor testing (TOP ) and much vehicle armor testing is performed with FS projectiles. * Method Types of Tests. The type of test conducted depends on the resources (funds and target area) available and the objective of the test program. a. The simplest test program involves obtaining a 6-round, V50 protection ballistic limi.t, using the up-and-down firing technique (TOP ). Pertinent velocities are limited to a spread of 46 m/sec. This type of ballistic * limit is considered marginal since it is not accurate enough for most applications. Acceptance testing of body armor (ref 3, App. D) upgrades this test method somewhat by requiring a 10-round, V50 ballistic limit with pertinent velocities limited tc a velocity spread of 38 m/sec (125 ft/sec). If a ballistic limit is not reached within a spread of 38 m/see, a 14-shot ballistic limit with a spread of 46 m/sec :is acceptable. 4 b. A second testing method that employs the Langlie firing technique * (TOP ) which generally involves 12 to 16 firings, may produce a standard deviation as well as a V50 ballistic limit, and is suitable for comparing types of materials with regard to V50. This is the minimum test that should be used for comparing materials. c. Occasionally, another method is employed when there is a need to obtain a very precise measurement of the ballistic limit and its standard deviation. In this case, the Probit method (see TOP ) is preferred, with perhaps 50 to 200 fragment simulators fired, composed of groups of 8 or 15 fired at each of 6 to 15 velocities that cover the range from V-O to V-100. In firing, a gun-to-target distance of 4.9 m (16 ft) is considered standard for body armor, with two lumiline screens spaced about I m (3 ft) apart for velocity S ) measurements. (Special tests may have shorter distances as illustrated in TOP For heavy materials requiring medium-sized guns, gun-to-target distances to i2 m (40 ft) may be necessary. Witness material of cm (0.020-in) alurrclnium is placed behind the target to register complete and partial penetrations. When applicable, a yaw card is placed just in front of the target to indicate impact cr-ientations. If residual velocities are required, they are obtaired as specified in TOP Data Required. Record all data pertinent to the armor material, including type, weight per square foot, and, when applicable, thickness, hardness, impact toughness, yield strength, tensile strength, and chemical composition. Record the exact obliquity of the armor and the striking velocity of each partial and complete penetration. As required by the directive, residual velocity of the fragment after it passes through the armor, and velocity, size, and distribution of the fragments displaced from the target may be recorded as in paragraph 4.2.b. Describe impact orientations when pertinunt Analytical Plan. Use striking velocities and the corresponding penetration results to estimate the mean and standard d,.viation parameters of a normal distribution. It is assumed that the probabilily of penetration versus striking 14
16 velocity is described by a cumulative normal distribution. If a zone of mixed results does not occur, an estimate of standard deviation is not obtainable from Vthe data. The zone of mixed results is the difference in striking velocity of the partial penetration with the highest velocity and the complete penntration with the lowest velocity. This difference must be positive to have a zone of mixed results. An hypothesis test for equality of ballistic limits of two materials can be performed, provided both samples had a zone of mixed results, A computer program is available at Aberdeen Proving Ground to calculate the estimates necessary (ref 9d, App. D). The statistic used is as follows: A (F is asymptotically distributed as a normal variate with mean zero and standard deviation equal to 1.) - ballistic limit estimate -2 S= variance of ballistic limit estimate (Subscrrpts I and 2 denote the items being compared.) If the Probit method (at least 50 rounds) is used, determine the V50 ballistic limit and standard deviation either by use of reference 9d (App. D) or by plotting data 7,n a curve and picking off the desired measures of performance Gin Firing of Simulated Fragments in a Canister Objective. To acquire large amounts of data with simulated fragments impacting in many orientations. This method has been used in the past when it was desired to fire large quantities of geometric shapes, such as cubes, parallelepipeds, etc., but to do so at less cost than would be required if esch missile were mounted separately in a sabot and fired as discussed in paragraph 4.3 This method has the disadvantages of requiring a large weapon and a large target Method Velocity Measurements. Two techniques can be used to measure initial and striking velocities of the fragments. a. The first method uses high-speed photography and is capable of measuring the velocity of each fragment. An 8-mm motion picture camera operating at 10,000 frames per second is focused on the target. The camera photographs the firing of the gun by means of a mirror placed in its field of view. The fragments that impact the target are recorded as flashes of light on the film. Fragment flight times are determined through the use of a millisecond time-base on the film. Muzzle and striking velocities are computed with suitable drag coefficients. 15
17 b. The second method measures the velocity of the fastest moving fragment that strikes each of two targets. Three printed silver circuit screens are used, one positioned on each target plate acting as the stop, and the third, or start screen, located 6 m (20 ft) from the muzzle. The muzzle velocity and striking velocity are computed for the first fragment that arrives at each target Duplicating Specific Attack Conditions. The explanation behind this type of testing is contained in paragraph Using the canister approach, fire all fragments to strike at a given velocity at one time, at a velocity that represents the actual velocity expected of fragments from a particular projectile. (Fragment velocities have some spread, but within acceptable limits.) The targets need not be only armor plates since vehicles are also appropriate targets for this type of firing Determination of V50 Levels. Fire canisters loaded with fragments of the desired weight at the target plates at several velocities, and the percent of partial penetrations is obtained for each velocity by dividing the number of partials by the total number of hits. Vary propellant weights either up or down un-- til a curve of velocity versus percent of partial penetrations is obtained Data Required. Record the following: a. Number of fragments fired in each weight class b. Shape, weight, and hardness of the fragments in each weight category c. Striking velocity of the fragments d. Test plate material, alloy, thickness, mechanical properties, chemical composition, and heat treatment e. Number of partial penetrations for each fragment weight class Analytical Plan. If target materials are to be compared using the technique of paragraph , use a statistical approach which tests the hypothesis that each of the plates is equal when performance is judged on the basis of nunber of complete penetrations or compared to number of impacts. Unless otherwise specified, a risk at both ends of 10% is assumed and the t-test used. If a V50 ballistic limit is to be estimated (para ), plot a curve of percenl complete penetrations (ordinate) versus striking velocity (abscissa) and pick the V50 point off the curve. If several thicknesses of the same material have been tested, also plot ballistic limit versus areal density. If a vehicle is being fired upon, record the impact location and the damage caused by each impacting fragment, and evaluate the implications of this damage Static Detonation of HE Projectiles Against Armored Vehicles Objective. To evaluate the effectiveness of a vehicle including its coof, hatch covers, doors, front, rear and side armor, etc., in protecting against blast and shell fragments. This basic objective may or may not be related to providing data to validate or improve a mathematical model concerned with protection afforded by vehicles in realistic battlefield scenarios Standards. Protection requirements in ROC's/DP's are now being stated in terms of a specified probability of no perforations from a specified projectile bursttng at random locations around a formation of specific vehicles in a 16
18 realistic tactical battlefield scenario. For example, the requirement might state that when forty 105-mm projectiles are detonated in the air above a formation of eight XYZ vehicles, the probability of a complete perforation should not exceed 0.3 per round. Two computerized mathematical models have been developed for determining the perforation probability from given input conditions. Reference 12 (App. D) describes one model developed by Littleton Research and Engineering Corp. for TACOM and includes an explanation for determining the single-shot perforation probability. AMSAA has developed a different model. Periodic validation of the mathematical models requires the detonation of shell at specified locations from a test vehicle Method. The test procedures generally follow those perforimd on a test reported in reference 9h (App. D). The number of shell and location of burst points depends upon the computer program that is chosen and the resources available. The test plan prepared by AMSAA or Littleton will specify the number of shells to be detonated, their height and location above the ground or above the vehicle, and the shell orientations. Constraints will be imposed upon the number of firings by funding and time available. To reduce costs, it is advisable to use more than one target vehicle or to supplement target vehicle(s) with armor plate of the same type, thickness, and obliquity as that of the vehicle. Paint targets with grid lines to help identify locations of perforations. Position shells, one at a time, at a specific location and orientation, and electrically detonated. Paint vehicles with grid lines to help identify locations of fragments Data Required. For each detonation, record the following information: a. Projectile type, location, and orientation with respect to each target b. Location of each target vehicle; type, thickness, obliquity, and area of pertinent armor areas c. Location and orientation of target plates, if used; also thickness, area, and types of target plates d. Locations, number, and definition of significant impacts (para 4.1.4) e. Locations, number, and definition of perforations (para 4.1.4) f. Damage to components of vehicles, e.g., periscopes g. Blast effects Analytical Plan. lf repeated shots under identical conditions are fired, develop data as described in paragraph If the detonation occurs at a multitude of locations in accordance with a test plan to validate a mathematical mcdel, the results are tabulated and forwarded to the appropriate agency (AMSAA or TACOM) for analysis. The results can be used to improve curves such as those of Figure 4. The roof armor often is the only area of concern because projectiles detonating overhead will usually strike side and end armor at high obliquities, and the armor is usually fairly thick to protect against small arms projectiles. 17
19 4 TOP March 1983 SRecommended changes of this publication should be forwardedl to Commander, US Army Test and Evaluation Command, ATTN:I DRSTE-AD-M, Aberdeen Proving Ground, Md Technicall information may be obtained from the preparing activity: Commander, US Army Aberdeen Proving Ground, ATTN: STEAP- MT-M, Aberdeen Proving Ground, Md Additional copies are available from the Defense Technical Information Center Cameron Station, Alexandria, Va This document isi identified by the accession number (AD No.), printed on the first page. ki 18
20 APPENDIX A INDEX OF TEST DATA ON HE PROJECTILE FRAGMENTS VERSUS ARMOR Tables A-1 and A-2 list the tests that have been conducted by APG on various types and thicknesses of armor by statically detonating 105-mm and 155-mm shell at various distances. TABLE A-1 TESTS USING PROJECTILE, 105-MM, HE, MI, TNT-LOADED Material Thickness (in.) and Report Source 5083 aluminutu alloy 1/4, 1/2, 3/4, 1, 1-1/4, 1-1/2, 1-3/4, 2 (DPS-653) 5456 aluminum alloy 1/4, 1/2, 3/4, 1, 1-1/4, 1-1/2, 1-3/4, 2 (DPS-67); 2 (DPS-110) RRH steel, specification 3/8, 5/8, 3/4 (DPS-653); 1/2, 5/8, 3/4 hardness and a modified (DPS-110); 3/8, 1/2 (DPS-67) hardness, BHN 293 1/4-in steel, XAR-30, BHN 1/4 (Firing record No. Ar 30468) 500; XAR-15, BHN gage cold rolled steel 1/16 (Firing record Nos. Ar and 30651) Aluminum composite: , (Ar 30651) alloy face in thick; 5456 alloy back, in thick Titanium 6AL-4V 0.514, 0.773, (DPS-392) Doron and nylon (spot Doron, 0.25, 0.48, 0.72, Nylon bonded) spot-bonded), 12-ply, 18-ply, 24- niy (DP$- 407) A-i
21 TABLE A-2 TESTS USING PROJECTILE, 155-MM, HE, MI07, TNT-LOADED Material Thickness (in.) and Report Source 5083 aluminum alloy 1/2, 3/4, 1, t-1/4, 1-1/2, 1-3/4, 2 (DPS-67); 1-1/4, 1-1/2, 1-3/4, 2 (DPS-110); 1-1/2, 1-3/4, 2, 2-1/2 (DPS-653); 1-3/4 (APG-Mr-3778) 5456 aluminum 1/2, 3/4, 1, 1-1/4, 1-1/2, 1-3/4, 2 (DPS-67) RH steel, specification 3/8, 1/2, 3/4, (DPS-67); 1/2, 5/8, hardness and a modified 3/4 (DPS-653); 1/2, 5/8, 3/4 hardness, BHN 293 (same (DPS-110) data for each) Titanium 6AL-4V 0.514, 0.773, (DPS-110) 7039-T63 aluminum alloy 1-1/4, 1-3/4, 2-1/4 (APG-MT-3778); 1 to 1.30 (Firing record No. Ar-30650) Steel, XAR-30 and XAR- 15, BHN 500 1/4 (Ar-30650) Aluminum 7178 face, , 0.493, 0.124t (Firing in thick; 5456 back, record Nos. Ar-30651, Ar-30650) in thick. HH steel face, in thick; aluminum 7039 back, in thick Cold rolled steel 1/16 (Ar and 30651) A-2
22 APPENDIX B FRAGMENT CHARACTERISICS OF 105-MM AND 155-M SHELLa TABLE B-1 INITIAL VELOCITY AND DENSITY OF FRAGMENTS FROM SHELL, 105-MM, HE, 141, TNT-LOADED Scaled Density. Scaled Density V 0 Frags/Steradian 0o Frags/Steradian Initial Over Initial Over 0 Velocity, Velocity, 400 deg fps Body Grains Fuze deg. fps Body Grains Rize I / C aextracted from reference 14 (App. D). B- 4 B-
23 TABLE B-2 INITIAL VELOCITY AND DENSITY OF FRAcIENTS FROM SHELL, 155-Mm, HE, M107,TNT-LOADED Scaled Density Scaled Density V 0 Frags/Steradian V 0 Frags/Steradian Initial Over Initial Over a Velocity, Velocity, 750 deg fps Body Grains deg fps Body Grains Ib * " -: -
24 APPENDIX C CALCULATION OF THE PROBABILITY OF FRAGMENT PERFORATION USING THE POISSON DISTRIBUTION The Poisson distribution is used on the assumption that testing will continue until a large number of hits, including some complete penetrations, are experienced over a large area. Then the probability of Ž2 Xi or fewer penetrations per A square units of area after N rounds have been detonated is given as i -AN p = E e ( N)k/k! k=0 where Xi = number of fragments penetrating area A for the ith round. (AN) = the Poisson parameter in units of number of penetrations in N rounds per A square meters. This probability is set equal to 1-7 when Y is the confidence coefficient. The upper % confidence limit on the number of penetrations per N rounds per A square meters is obtained by solving the equation for XN. This is acconplished by using cumulative Poisson probability tables such as those given in reference 13 (App. D). To determine the probability PL of m or fewer penetrations per round per S units of area, let X AN x S N A square where Xu number of penetrations per round per S square meters (upper 100Y-% confidence limit) m -u then PL = E e,u )k/k! k= 0 when PL is the lower % confidence limit on the true probability of m or fewer penetration occurrences per round per S square meters. C-I
25 EXAMPLE No. of Penetrations Round No. (Xi) 1 2 N N= 3 5 i-- Fired on area of 8.9 square meters = A Probability (8 or few penetrations per 3 rounds on area A): q 8 =8 e-(xn) ( XN)k/k! k= 0 = i-y= 0.05 (confidence coefficient.95) Therefore, the problem is to solve Y e- XN ( XN)k/k!=.05 for X N. k=o 8 This is done by entering Poisson tables with probability =.05 and C-1-8 and interpolating to obtain the value of the Poisson parameter. These tables give XN = penetrations/3 rounds/8.9 square meters. Suppose we wanted to find the probability of no penetrations per round per 9.3 square meters; i.e., PL e0 Au ( X ) k/k! k= 0 Now N x XN (i /s Li f'\ I ) N (A) \3 ''.9 PI e (5.010)0/0! =.0067 Xu is an upper 95% confidence limit on the true Poisson parameter X PL is the lower 95% confidence limit on the true p = probability of no penetrations per round per 9.3 square meters. C-2
26 APPENDIX D REFERENCES 1. TOP , Ballistic Testing of Personnel Armor Materials, 6 Jan TOP , Ballistic Tests of Armor Materials, 6 Apr TOP , Static Fragmentation Tests of IHigh Explosive Munitions, 31 Jan TOP , Flash Radiography in Ballistic Testing, 8 Jun TOP , Projectile Velocity Measurements, 21 September MIL-F (MR), "Projectile Cubes, Fragment-Simulating," 21 September MIL-P-46593A (ORD), "Projectile, Calibers.22,.30,.50 and 20-mm Fragment-Simulating," and Amendment 1, 12 October MIL-STD-662B, "Ballistic Acceptance Test Method for Personnel Armor Material," 23 July Aberdeen Proving Ground Reports: a. Demaree, C. L., "A Study of Lethal Characteristics of Fr*igments Resulting from Impacts on Armor (Phase 1)," DPS-622 (Confidential), September Sb. Demaree, C. L., "Research Test of Steel Armor Attacked by Fragment-Simulating Cubes to Provide Data for Lethality Studies (U)," DPS-1098 (Confidential), October c. Feroli, John A. and Van Caneghem, R. J., "Final Report on Special Study of Methodology for Determining Protection Against Shell Fragments," APG-MT--4363, (TECOM Project 9-CO ) d. Visnaw, V., "Computer Program for Analysis of Sensitivity Data Following a Normal Distribution," Analytical Section Report 70-AS-113, 16 October ''IU. e. Keithley, S. M., "Protection Provided by Titanium Armor Against High-Explosive Ammunition at a Bursting Distance of 50 Feet (U)," DPS-392 (Confidential), December f. Keithley, S. M., "Protection Provided by Nylon and Doron Armor Against LIE Shell Fragments (90-Foot Yankee Stadium) (U)," DPS-407 (Confidential), December g. Keithley, S. M., "Protection Provided by Aluminum and Steel Armor Against Fragments Produced by High-Explosive Ammunition Bursting at Various Distances (U)," DPS-653 (Confidential), September h. Martin, C. E., Jr., "First Partial Report on Engineer Design Test of Armor, Vehicle Design Procedure for Shell Fragment Protection (U)," APG-MT-3309 (Confidential), October D-1
27 i. Martin, C. E., Jr., "Engineer Design Test of Armor, Aluminum, Simulated Roof Structures vs 155-mm, HE Fragments (U)," APG-MT-3778 (Confidential), February (Distribution controlled by US Army Tank-Automotive Command, ATTN: AMCPM-MICV. AD L.) j. Resnick, W. V., "Protection Provided by Steel and Aluminum Armor Against Fragments from High Explosive Ammunition (U)," DPS-67 (Confidential), 22 November (AD 1293) k. Resnick, W. V., "Protection Provided by Steel and Aluminum Armor Against Fragments from High Explosive Ammunition (U)," DPS-110 (Confidential), January "X-Ray Multiflash System for Measurement of Projectile Performance at the Target," BRL Technical Note M. Feroli, John A., "Special Study of Procedures for Evaluating Protection of Vehicles Against Projectiles and Fragments, Report APG-MT-4362, October (TECOM Project 9-CO ) 10. Aberdeen Proving Ground Firing Records: a. Martin, C. E., Jr., "Engineer Design Test of Armor, High Hardness, Rolled Steel for XM706 Series Armored Cars (HE Projectile Phase) (U)," Ar (Confidential), 10 September bý Martin, C. E., Jr., "Engineer Design TejL of Armor, Aluminum Alloy 7039 Versus 155-mm HE Shell for ARSV (TACOM RKMA-19) (U)," Ar (Confidential), 22 December c. Martin, C. E., Jr., "Engineer Design Test of Armor, High Hardness, Rolled Steel for XM706 Series Armored Cars (HE Versus Aluminum Armor Phase) (U),' Ar (Confidential), 27 January Acceptance Test Procedure AAA-PFE-1, "Aluminum Alloy Armor - Plate, Forged, Extruded," Aberdeen Proving Ground, Md., 13 September Reed, F. E. and Orner, R. G. "S ist Tesv Proc.dur. for Evalat-ing Penetration by Shell Fragments," Littleton Research and Engineering Corporation Report, June "Biometrika Tables for Statisticians," vol I, edited by E. S. Pearson and H. 0. Hartley, University Press, Cambridge, Mass., M Joint Munition Effectiveness Manuals/Surface-to-Surface (JMEM/SS) Fragmentation Characteristics and Terminal Effects Data for Surface-to-Surface Weapons, Revision 1, 1 July D-2
Technology Assessment Program NIJ Standard for Ballistic Helmets
Note to users: This electronic document is not subject to copyright. You may copy it, but you are requested not to disseminate altered copies. Technology Assessment Program NIJ Standard for Ballistic Helmets
Testing guideline. "special protected vehicles"
"" ( Sondergeschützte Fahrzeuge ) bullet resistance Englische Übersetzung; es gilt immer die deutsche Originalfassung! English translation; however the original German version always prevails! Publisher:
BALLISTIC TESTING OF COMMERCIAL ALUMINUM ALLOYS AND ALTERNATE PROCESSING TECHNIQUES TO INCREASE THE AVAILABILITY OF ALUMINUM ARMOR
23 RD INTERNATIONAL SYMPOSIUM ON BALLISTICS TARRAGONA, SPAIN 16-20 APRIL 2007 BALLISTIC TESTING OF COMMERCIAL ALUMINUM ALLOYS AND ALTERNATE PROCESSING TECHNIQUES TO INCREASE THE AVAILABILITY OF ALUMINUM
The entire document shall be read and understood before proceeding with a test. ISTA 3B 2013 - Page 1 of 35
Packaged-Products for Less-Than-Truckload (LTL) Shipment ISTA 3 Series General Simulation Performance Test PROCEDURE VERSION DATE Last TECHNICAL Change: NOVEMBER 2012 Last EDITORIAL Change: JANUARY 2013
NOVEL EXAMINATION OF GUN BORE RESISTANCE ANALYSIS AND EXPERIMENTAL VALIDATION
23 RD INTERNATIONAL SYMPOSIUM ON BALLISTICS TARRAGONA, SPAIN 16-2 APRIL 27 NOVEL EXAMINATION OF GUN BORE RESISTANCE ANALYSIS AND EXPERIMENTAL VALIDATION D. Carlucci 1, J. Vega 1, M. Pocock 2, S. Einstein
Jump Shot Mathematics Howard Penn
Jump Shot Mathematics Howard Penn Abstract In this paper we exae variations of standard calculus problems in the context of shooting a basketball jump shot. We believe that many students will find this
Speed A B C. Time. Chapter 3: Falling Objects and Projectile Motion
Chapter 3: Falling Objects and Projectile Motion 1. Neglecting friction, if a Cadillac and Volkswagen start rolling down a hill together, the heavier Cadillac will get to the bottom A. before the Volkswagen.
Shaped Charge Jet Characterization and Initiation Test Configuration for IM Threat Testing
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln US Army Research US Department of Defense 1-1-2013 Shaped Charge Jet Characterization and Initiation Test Configuration
Projectile motion simulator. http://www.walter-fendt.de/ph11e/projectile.htm
More Chapter 3 Projectile motion simulator http://www.walter-fendt.de/ph11e/projectile.htm The equations of motion for constant acceleration from chapter 2 are valid separately for both motion in the x
MONDOATHENS BASKETBALL SET (Reference PK110)
MONDOATHENS BASKETBALL SET (Reference PK110) DESCRIPTION The MONDOATHENS backstop unit is mainly designed for multi-sports pavilions and installations where the highest-level basketball competitions are
Electric Motors and Drives
EML 2322L MAE Design and Manufacturing Laboratory Electric Motors and Drives To calculate the peak power and torque produced by an electric motor, you will need to know the following: Motor supply voltage,
The Bullet-Block Mystery
LivePhoto IVV Physics Activity 1 Name: Date: 1. Introduction The Bullet-Block Mystery Suppose a vertically mounted 22 Gauge rifle fires a bullet upwards into a block of wood (shown in Fig. 1a). If the
How to Win the Stock Market Game
How to Win the Stock Market Game 1 Developing Short-Term Stock Trading Strategies by Vladimir Daragan PART 1 Table of Contents 1. Introduction 2. Comparison of trading strategies 3. Return per trade 4.
APPENDIX R- Aerial Use of DU During the Gulf War
APPENDIX R- Aerial Use of DU During the Gulf War R.1 U.S. Air Force In the early 1970s, the U.S. Air Force developed the GAU-8/A air-to-surface gun system for the A-10 Thunderbolt ( Warthog or Tank Buster
Section 4: The Basics of Satellite Orbits
Section 4: The Basics of Satellite Orbits MOTION IN SPACE VS. MOTION IN THE ATMOSPHERE The motion of objects in the atmosphere differs in three important ways from the motion of objects in space. First,
Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam
Physics 2A, Sec B00: Mechanics -- Winter 2011 Instructor: B. Grinstein Final Exam INSTRUCTIONS: Use a pencil #2 to fill your scantron. Write your code number and bubble it in under "EXAM NUMBER;" an entry
Atomic Force Microscope and Magnetic Force Microscope Background Information
Atomic Force Microscope and Magnetic Force Microscope Background Information Lego Building Instructions There are several places to find the building instructions for building the Lego models of atomic
AP Physics 1 and 2 Lab Investigations
AP Physics 1 and 2 Lab Investigations Student Guide to Data Analysis New York, NY. College Board, Advanced Placement, Advanced Placement Program, AP, AP Central, and the acorn logo are registered trademarks
Presentation of the BOFORS 3P and System Concept. BOFORS 40/57 mm 3P. - Remotely Controlled Turret System. - Bushmaster IV integration
Presentation of the BOFORS 3P and System Concept 98 40/48B SLPPRJ 90 LK 17398001 - BOFORS 40/57 mm 3P - Remotely Controlled Turret System - Bushmaster IV integration Mr Michael Borén Product Director,
The Viscosity of Fluids
Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et
Physics Lab Report Guidelines
Physics Lab Report Guidelines Summary The following is an outline of the requirements for a physics lab report. A. Experimental Description 1. Provide a statement of the physical theory or principle observed
Fracture and strain rate behavior of airplane fuselage materials under blast loading
EPJ Web of Conferences 6, 6 42017 (2010) DOI:10.1051/epjconf/20100642017 Owned by the authors, published by EDP Sciences, 2010 Fracture and strain rate behavior of airplane fuselage materials under blast
Mechanics of a Simple Bow
Mechanics of a Simple Bow Mar French, Assistant Professor Brendan Curtis, Undergraduate Student Vinh Pham, Undergraduate Student Department of Mechanical Engineering Technology Purdue University West Lafayette,
Technical Report TR-05-2005 WARNING SHOT TARGET BALLISTIC TEST EVALUATION. Prepared for:
Technical Report TR-05-2005 WARNING SHOT TARGET BALLISTIC TEST EVALUATION. Prepared for: Canadian Police Research Centre National Research Council Canada 1200 Montreal Road Ottawa, ON K1A 0R6 Prepared
XPULT INSTRUCTIONS BASIC VERSION
XPULT INSTRUCTIONS BASIC VERSION The Xpult is a device for launching table tennis balls or other light plastic balls. Most likely, you will have received the Xpult from your teacher or somebody else who
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA TUTORIAL 4 AREAS AND VOLUMES This is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals.
Lab 8: Ballistic Pendulum
Lab 8: Ballistic Pendulum Equipment: Ballistic pendulum apparatus, 2 meter ruler, 30 cm ruler, blank paper, carbon paper, masking tape, scale. Caution In this experiment a steel ball is projected horizontally
Lab 7: Rotational Motion
Lab 7: Rotational Motion Equipment: DataStudio, rotary motion sensor mounted on 80 cm rod and heavy duty bench clamp (PASCO ME-9472), string with loop at one end and small white bead at the other end (125
Physics 41, Winter 1998 Lab 1 - The Current Balance. Theory
Physics 41, Winter 1998 Lab 1 - The Current Balance Theory Consider a point at a perpendicular distance d from a long straight wire carrying a current I as shown in figure 1. If the wire is very long compared
To provide insight into the physics of arrow flight and show how archers adapt their equipment to maximize effectiveness.
The Science of Archery Godai Katsunaga Purpose To provide insight into the physics of arrow flight and show how archers adapt their equipment to maximize effectiveness. Archery Archery is one of the events
Chapter 3 Falling Objects and Projectile Motion
Chapter 3 Falling Objects and Projectile Motion Gravity influences motion in a particular way. How does a dropped object behave?!does the object accelerate, or is the speed constant?!do two objects behave
Chapter 3. Track and Wheel Load Testing
Chapter 3 Track and Wheel Load Testing This chapter describes the track, truck, and testing equipment that were used by the Transportation Technology Center, Inc. (TTCI) for collecting the data that was
Practice Problems on Boundary Layers. Answer(s): D = 107 N D = 152 N. C. Wassgren, Purdue University Page 1 of 17 Last Updated: 2010 Nov 22
BL_01 A thin flat plate 55 by 110 cm is immersed in a 6 m/s stream of SAE 10 oil at 20 C. Compute the total skin friction drag if the stream is parallel to (a) the long side and (b) the short side. D =
INTERNATIONAL HOCKEY FEDERATION PERFORMANCE REQUIREMENTS AND TEST PROCEDURES FOR HOCKEY BALLS. Published: April 1999
INTERNATIONAL HOCKEY FEDERATION PERFORMANCE REQUIREMENTS AND TEST PROCEDURES FOR HOCKEY BALLS Published: April 1999 CONTENTS 1 Introduction 2 Test Procedures General 3 Standards and Specific Test Procedures
Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 3: PROJECTILE MOTION
GENERAL SCIENCE LABORATORY 1110L Lab Experiment 3: PROJECTILE MOTION Objective: To understand the motion of a projectile in the earth s gravitational field and measure the muzzle velocity of the projectile
METU DEPARTMENT OF METALLURGICAL AND MATERIALS ENGINEERING
METU DEPARTMENT OF METALLURGICAL AND MATERIALS ENGINEERING Met E 206 MATERIALS LABORATORY EXPERIMENT 1 Prof. Dr. Rıza GÜRBÜZ Res. Assist. Gül ÇEVİK (Room: B-306) INTRODUCTION TENSION TEST Mechanical testing
CHAPTER 1 ARROW BALLISTICS FROM SINGLE SHOT TO COURSE REQUIREMENTS
CHAPTER 1 ARROW BALLISTICS FROM SINGLE SHOT TO COURSE REQUIREMENTS ARROW FLIGHT - BALLISTICS The Oxford Dictionary defines ballistics as "the science of projectiles." Unfortunately, this leads to thoughts
The Technical Archer. Austin Wargo
The Technical Archer Austin Wargo May 14, 2010 Abstract A mathematical model of the interactions between a long bow and an arrow. The model uses the Euler-Lagrange formula, and is based off conservation
LABORATORY EXPERIMENTS TESTING OF MATERIALS
LABORATORY EXPERIMENTS TESTING OF MATERIALS 1. TENSION TEST: INTRODUCTION & THEORY The tension test is the most commonly used method to evaluate the mechanical properties of metals. Its main objective
Project: OUTFIELD FENCES
1 Project: OUTFIELD FENCES DESCRIPTION: In this project you will work with the equations of projectile motion and use mathematical models to analyze a design problem. Two softball fields in Rolla, Missouri
SFI SPECIFICATION 14.21 EFFECTIVE: FEBRUARY 26, 2014 *
SFI SPECIFICATION 14.21 EFFECTIVE: FEBRUARY 26, 2014 * PRODUCT: Screw-Type Supercharger Restraint Devices 1.0 GENERAL INFORMATION 1.1 This SFI Specification establishes uniform test procedures and minimum
Technical Regulations 2015-2016
F1 in Schools - 2014 World Finals Technical Regulations Technical Regulations 2015-2016 2013 - F1 in Schools Ltd. Page 1 of 27 3 September 2015 CONTENTS PREFACE SUMMARY OF MAIN REVISIONS FROM 2013 REGULATIONS...
Guidelines for Earthquake Bracing Residential Water Heaters
Guidelines for Earthquake Bracing Residential Water Heaters Department of General Services Division of the State Architect In accordance with the Health and Safety Code Section 19215, the Division of the
Section. Tolerances. Aluminum Extrusion Manual. 4th Edition
Section 8 Tolerances Aluminum Extrusion Manual 4th Edition Section 8 How straight is straight enough? How flat is flat enough? How uniform must a wall thickness be in order to be acceptable? These are
Modeling Fragmentation Performance of Insensitive Explosive Fragmentation Munitions
2009 Insensitive Munitions and Energetic Materials Technology Symposium, Tucson, Arizona 11-14 May 2009 Modeling Fragmentation Performance of Insensitive Explosive Fragmentation Munitions V. M. Gold and
Readings this week. 1 Parametric Equations Supplement. 2 Section 10.1. 3 Sections 2.1-2.2. Professor Christopher Hoffman Math 124
Readings this week 1 Parametric Equations Supplement 2 Section 10.1 3 Sections 2.1-2.2 Precalculus Review Quiz session Thursday equations of lines and circles worksheet available at http://www.math.washington.edu/
CHAPTER 4 4 NUMERICAL ANALYSIS
41 CHAPTER 4 4 NUMERICAL ANALYSIS Simulation is a powerful tool that engineers use to predict the result of a phenomenon or to simulate the working situation in which a part or machine will perform in
Notes on Elastic and Inelastic Collisions
Notes on Elastic and Inelastic Collisions In any collision of 2 bodies, their net momentus conserved. That is, the net momentum vector of the bodies just after the collision is the same as it was just
Guidelines for Earthquake Bracing of Residential Water Heaters
Guidelines for Earthquake Bracing of Residential Water Heaters Department of General Services Division of the State Architect 1102 Q Street, Suite 5100 Sacramento, CA 95814 Phone: (916) 324-7099 Fax: (916)
Characteristics of the Four Main Geometrical Figures
Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.
XI / PHYSICS FLUIDS IN MOTION 11/PA
Viscosity It is the property of a liquid due to which it flows in the form of layers and each layer opposes the motion of its adjacent layer. Cause of viscosity Consider two neighboring liquid layers A
COMMERCIAL ITEM DESCRIPTION PACKAGING MATERIAL, SHEET
[METRIC] A-A-59135 28 OCTOBER 1997 SUPERSEDING PPP-C-1752D(3) 1 FEBRUARY 1993 COMMERCIAL ITEM DESCRIPTION PACKAGING MATERIAL, SHEET The General Services Administration has authorized the use of this commercial
Abaqus Technology Brief. Automobile Roof Crush Analysis with Abaqus
Abaqus Technology Brief Automobile Roof Crush Analysis with Abaqus TB-06-RCA-1 Revised: April 2007. Summary The National Highway Traffic Safety Administration (NHTSA) mandates the use of certain test procedures
F1 in Schools - 2014 World Finals Technical Regulations. 2014 WORLD FINALS Technical Regulations
2014 WORLD FINALS Technical Regulations Refer also to the 2014 World Finals Competition Regulations. For World Finals use only. 2013 - F1 in Schools Ltd. Page 1 of 23 13 August 2014 Front Cover A1 Racing
INTERNATIONAL ASSOCIATION OF CLASSIFICATION SOCIETIES. Interpretations of the FTP
INTERNATIONAL ASSOCIATION OF CLASSIFICATION SOCIETIES Interpretations of the FTP CONTENTS FTP1 Adhesives used in A or B class divisions (FTP Code 3.1, Res A.754 para. 3.2.3) June 2000 FTP2 Pipe and duct
Maximum Range Explained range Figure 1 Figure 1: Trajectory Plot for Angled-Launched Projectiles Table 1
Maximum Range Explained A projectile is an airborne object that is under the sole influence of gravity. As it rises and falls, air resistance has a negligible effect. The distance traveled horizontally
E/ECE/324/Rev.2/Add.116/Rev.2/Amend.2 E/ECE/TRANS/505/Rev.2/Add.116/Rev.2/Amend.2
6 August 2013 Agreement Concerning the Adoption of Uniform Technical Prescriptions for Wheeled Vehicles, Equipment and Parts which can be Fitted and/or be Used on Wheeled Vehicles and the Conditions for
Force on Moving Charges in a Magnetic Field
[ Assignment View ] [ Eðlisfræði 2, vor 2007 27. Magnetic Field and Magnetic Forces Assignment is due at 2:00am on Wednesday, February 28, 2007 Credit for problems submitted late will decrease to 0% after
Variable Damage Effects in Naval Wargames
Variable Damage Effects in Naval Wargames Christopher Carlson Cold Wars 2008 Admiralty Trilogy Seminar Presented by: Clash of Arms Games Outline What is damage? Damage modeling philosophies Drivers in
Solid shape molding is not desired in injection molding due to following reasons.
PLASTICS PART DESIGN and MOULDABILITY Injection molding is popular manufacturing method because of its high-speed production capability. Performance of plastics part is limited by its properties which
CHAPTER 2 HYDRAULICS OF SEWERS
CHAPTER 2 HYDRAULICS OF SEWERS SANITARY SEWERS The hydraulic design procedure for sewers requires: 1. Determination of Sewer System Type 2. Determination of Design Flow 3. Selection of Pipe Size 4. Determination
Copyright 2011 Casa Software Ltd. www.casaxps.com. Centre of Mass
Centre of Mass A central theme in mathematical modelling is that of reducing complex problems to simpler, and hopefully, equivalent problems for which mathematical analysis is possible. The concept of
Lab 8 Notes Basic Aircraft Design Rules 6 Apr 06
Lab 8 Notes Basic Aircraft Design Rules 6 Apr 06 Nomenclature x, y longitudinal, spanwise positions S reference area (wing area) b wing span c average wing chord ( = S/b ) AR wing aspect ratio C L lift
SIMPLIFIED METHOD FOR ESTIMATING THE FLIGHT PERFORMANCE OF A HOBBY ROCKET
SIMPLIFIED METHOD FOR ESTIMATING THE FLIGHT PERFORMANCE OF A HOBBY ROCKET WWW.NAKKA-ROCKETRY.NET February 007 Rev.1 March 007 1 Introduction As part of the design process for a hobby rocket, it is very
ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES
ELECTRIC FIELD LINES AND EQUIPOTENTIAL SURFACES The purpose of this lab session is to experimentally investigate the relation between electric field lines of force and equipotential surfaces in two dimensions.
MASTER DEGREE PROJECT
MASTER DEGREE PROJECT Finite Element Analysis of a Washing Machine Cylinder Thesis in Applied Mechanics one year Master Degree Program Performed : Spring term, 2010 Level Author Supervisor s Examiner :
Mathematics (Project Maths)
Pre-Leaving Certificate Examination Mathematics (Project Maths) Paper 2 Higher Level February 2010 2½ hours 300 marks Running total Examination number Centre stamp For examiner Question Mark 1 2 3 4 5
The process components and related data characteristics addressed in this document are:
TM Tech Notes Certainty 3D November 1, 2012 To: General Release From: Ted Knaak Certainty 3D, LLC Re: Structural Wall Monitoring (#1017) rev: A Introduction TopoDOT offers several tools designed specifically
Solution for Homework #1
Solution for Homework #1 Chapter 2: Multiple Choice Questions (2.5, 2.6, 2.8, 2.11) 2.5 Which of the following bond types are classified as primary bonds (more than one)? (a) covalent bonding, (b) hydrogen
ENGLISH FORK GUIDE 2013
FORK GUIDE 2013 ENGLISH 1 With a brand which is synonymous with specialists in forest products handling attachments, BOLZONI AURAMO offers its expertise and market leading attachments for all requirements,
Calibration and Use of a Strain-Gage-Instrumented Beam: Density Determination and Weight-Flow-Rate Measurement
Chapter 2 Calibration and Use of a Strain-Gage-Instrumented Beam: Density Determination and Weight-Flow-Rate Measurement 2.1 Introduction and Objectives This laboratory exercise involves the static calibration
Introduction to Autodesk Inventor for F1 in Schools
Introduction to Autodesk Inventor for F1 in Schools F1 in Schools Race Car In this course you will be introduced to Autodesk Inventor, which is the centerpiece of Autodesk s digital prototyping strategy
Slope and Rate of Change
Chapter 1 Slope and Rate of Change Chapter Summary and Goal This chapter will start with a discussion of slopes and the tangent line. This will rapidly lead to heuristic developments of limits and the
AD-A236 607 DODPOPHM/USA/DOD/NADTR9 1107
AD-A236 607 DODPOPHM/USA/DOD/NADTR9 1107,., 4 PERFORMANCE ORIENTED PACKAGING TESTING OF 7 MS-27884-2 METAL DRUM FOR MK 64 MOD 0 GAS GENERATOR BY: BILLIE LANDSTROM a Performing Activity:.. -. Navel Weapons
Solutions to old Exam 1 problems
Solutions to old Exam 1 problems Hi students! I am putting this old version of my review for the first midterm review, place and time to be announced. Check for updates on the web site as to which sections
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
EXPERIMENTAL AND NUMERICAL ANALYSIS OF THE COLLAR PRODUCTION ON THE PIERCED FLAT SHEET METAL USING LASER FORMING PROCESS
JOURNAL OF CURRENT RESEARCH IN SCIENCE (ISSN 2322-5009) CODEN (USA): JCRSDJ 2014, Vol. 2, No. 2, pp:277-284 Available at www.jcrs010.com ORIGINAL ARTICLE EXPERIMENTAL AND NUMERICAL ANALYSIS OF THE COLLAR
The Viscosity of Fluids
Experiment #11 The Viscosity of Fluids References: 1. Your first year physics textbook. 2. D. Tabor, Gases, Liquids and Solids: and Other States of Matter (Cambridge Press, 1991). 3. J.R. Van Wazer et
Explosive Engineering as an Academic Program
NEMC October 2015 Explosive Engineering as an Academic Program Graduate Certificates Engineering Mechanics Enterprise Resource Planning Entrepreneurship & Technological Innovation Explosives Engineering
Integration of a fin experiment into the undergraduate heat transfer laboratory
Integration of a fin experiment into the undergraduate heat transfer laboratory H. I. Abu-Mulaweh Mechanical Engineering Department, Purdue University at Fort Wayne, Fort Wayne, IN 46805, USA E-mail: [email protected]
Perimeter, Area, and Volume
Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all
Explain the role of blood and bloodstain patterns in forensics science. Analyze and identify bloodstain patterns by performing bloodstain analysis
Lab 4 Blood Learning Objectives Explain the role of blood and bloodstain patterns in forensics science Analyze and identify bloodstain patterns by performing bloodstain analysis Introduction Blood, a
No. 8940. EUROPEAN AGREEMENT CONCERNING THE INTERNATIONAL CAR RIAGE OF DANGEROUS GOODS BY ROAD (ADR). DONE AT GENEVA ON 30 SEPTEMBER 1957'
1975 United Nations Treaty Series Nations Unies Recueil des Traités 435 [TRANSLATIN TRADUCTIN] No. 8940. EURPEAN AGREEMENT CNCERNING THE INTERNATINAL CAR RIAGE F DANGERUS GDS BY RAD (ADR). DNE AT GENEVA
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd
Rotation: Moment of Inertia and Torque
Rotation: Moment of Inertia and Torque Every time we push a door open or tighten a bolt using a wrench, we apply a force that results in a rotational motion about a fixed axis. Through experience we learn
Morini CM 162EI. Technical Data
Morini CM 162EI Technical Data Caliber: Weight: Total Length: Total Height: Total Width: Length of Sight Line: Barrel Length: Type of Barrel: Number of Riflings: Functioning: Trigger: Path: Arrest Point:
Measuring Bullet Velocity with a PC Soundcard
Measuring Bullet Velocity with a PC Soundcard Michael Courtney and Brian Edwards Abstract: This article describes a simple method for using a PC soundcard to accurately measure bullet velocity. The method
AP1 Oscillations. 1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false?
1. Which of the following statements about a spring-block oscillator in simple harmonic motion about its equilibrium point is false? (A) The displacement is directly related to the acceleration. (B) The
1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
Experiment #1, Analyze Data using Excel, Calculator and Graphs.
Physics 182 - Fall 2014 - Experiment #1 1 Experiment #1, Analyze Data using Excel, Calculator and Graphs. 1 Purpose (5 Points, Including Title. Points apply to your lab report.) Before we start measuring
Journal of Engineering Science and Technology Review 2 (1) (2009) 76-81. Lecture Note
Journal of Engineering Science and Technology Review 2 (1) (2009) 76-81 Lecture Note JOURNAL OF Engineering Science and Technology Review www.jestr.org Time of flight and range of the motion of a projectile
PAAM COMMERCIAL PRIVATE LIMITED
METAL PACKAGING We at Paam Group have been providing vast range of packaging products to our customers based on their preferences, needs and specifications. We provide all the materials required in metal
Head Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids
Head Loss in Pipe Flow ME 123: Mechanical Engineering Laboratory II: Fluids Dr. J. M. Meyers Dr. D. G. Fletcher Dr. Y. Dubief 1. Introduction Last lab you investigated flow loss in a pipe due to the roughness
4 SENSORS. Example. A force of 1 N is exerted on a PZT5A disc of diameter 10 mm and thickness 1 mm. The resulting mechanical stress is:
4 SENSORS The modern technical world demands the availability of sensors to measure and convert a variety of physical quantities into electrical signals. These signals can then be fed into data processing
Bending, Forming and Flexing Printed Circuits
Bending, Forming and Flexing Printed Circuits John Coonrod Rogers Corporation Introduction: In the printed circuit board industry there are generally two main types of circuit boards; there are rigid printed
H.Calculating Normal Vectors
Appendix H H.Calculating Normal Vectors This appendix describes how to calculate normal vectors for surfaces. You need to define normals to use the OpenGL lighting facility, which is described in Chapter
High Strain Dynamic Load Testing of Drilled Shafts
Supplemental Technical Specification for High Strain Dynamic Load Testing of Drilled Shafts SCDOT Designation: SC-M-712 (9/15) September 3, 2015 1.0 GENERAL This work shall consist of performing high-strain
Tensile Testing Laboratory
Tensile Testing Laboratory By Stephan Favilla 0723668 ME 354 AC Date of Lab Report Submission: February 11 th 2010 Date of Lab Exercise: January 28 th 2010 1 Executive Summary Tensile tests are fundamental
