Designation: E 10 – 07a American Association State Highwayand Transportation Officials Standard
AASHTO No.: T70–86
Standard Test Method for
Brinell Hardness of Metallic Materials1
This standard is issued under the fixed designation E 10; the number immediately following the designation indicates the year of original
adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A superscript
epsilon (e) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the Department of Defense.
1. Scope
1.1 This test method covers the determination of the Brinell
hardness of metallic materials by the Brinell indentation
hardness principle. This standard provides the requirements for
a Brinell testing machine and the procedures for performing
Brinell hardness tests.
1.2 This standard includes additional requirements in four
annexes:
Verification of Brinell Hardness Testing Machines Annex A1
Brinell Hardness Standardizing Machines Annex A2
Standardization of Brinell Hardness Indenters Annex A3
Standardization of Brinell Hardness Test Blocks Annex A4
1.3 This standard includes nonmandatory information in an
appendix which relates to the Brinell hardness test:
Table of Brinell Hardness Numbers Appendix X1
Examples of Procedures for Determining
Brinell Hardness Uncertainty
Appendix X2
1.4 At the time the Brinell hardness test was developed, the
force levels were specified in units of kilograms-force (kgf).
Although this standard specifies the unit of force in the
International System of Units (SI) as the Newton (N), because
of the historical precedent and continued common usage of kgf
units, force values in kgf units are provided for information and
much of the discussion in this standard refers to forces in kgf
units.
1.5 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro-
priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use.
2. Referenced Documents
2.1 ASTM Standards: 2
E 29 Practice for Using Significant Digits in Test Data to
Determine Conformance with Specifications
E 74 Practice of Calibration of Force-Measuring Instru-
ments for Verifying the Force Indication of Testing Ma-
chines
E 140 Hardness Conversion Tables for Metals Relationship
Among Brinell Hardness, Vickers Hardness, Rockwell
Hardness, Superficial Hardness, Knoop Hardness, and
Scleroscope Hardness
E 384 Test Method for Microindentation Hardness of Ma-
terials
2.2 American Bearings Manufacturer Association Stan-
dard:
ABMA 10-1989 Metal Balls3
2.3 ISO Standards:
ISO/IEC 17011 Conformity Assessment—General Require-
ments for Accreditation Bodies Accrediting Conformity
Assessment Bodies4
ISO/IEC 17025 General Requirements for the Competence
of Calibration and Testing4
3. Terminology and Equations
3.1 Definitions:
3.1.1 calibration—determination of the values of the sig-
nificant parameters by comparison with values indicated by a
reference instrument or by a set of reference standards.
3.1.2 verification—checking or testing to assure conform-
ance with the specification.
3.1.3 standardization—to bring in conformance with a
known standard through verification or calibration.
3.1.4 Brinell hardness test—an indentation hardness test
using a verified machine to force an indenter (tungsten carbide
ball with diameter D), under specified conditions, into the
surface of the material under test. The diameter of the resulting
indentation d is measured after removal of the force.
3.1.5 Brinell hardness number—a number, which is propor-
tional to the quotient obtained by dividing the test force by the
curved surface area of the indentation which is assumed to be
spherical and of the diameter of the ball.
1 This test method is under the jurisdiction of ASTM Committee E28 on
Mechanical Testing and is the direct responsibility of Subcommittee E28.06 on
Indentation Hardness Testing.
Current edition approved April 1, 2007. Published June 2007. Originally
approved in 1924. Last previous edition approved in 2007 as E 10 – 07e1 .
2 For referenced ASTM standards, visit the ASTM website, www.astm.org, or
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website.
3 Available from American Bearing Manufacturers Association (ABMA), 2025
M Street, NW, Suite 800, Washington, DC 20036.
4 Available from American National Standards Institute (ANSI), 25 W. 43rd St.,
4th Floor, New York, NY 10036, http://www.ansi.org.
1
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
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3.1.6 Brinell hardness scale—a designation that identifies
the specific combination of ball diameter and applied force
used to perform the Brinell hardness test.
3.1.7 Brinell hardness testing machine—a Brinell hardness
machine used for general testing purposes.
3.1.8 Brinell hardness standardizing machine—a Brinell
hardness machine used for the standardization of Brinell
hardness test blocks. The standardizing machine differs from a
regular Brinell hardness testing machine by having tighter
tolerances on certain parameters.
3.1.9 force-diameter ratio—a number calculated as the ratio
of the test force in kgf to the square of the indenter ball
diameter in mm (see Table 1).
3.2 Equations:
3.2.1 The Brinell hardness number is calculated as:
HBW 5
2Fkgf
pD~D – =D2 – d2!
(1)
where:
Fkgf = test force in kgf,
D = diameter of the indenter ball in mm, and
d = measured mean diameter of the indentation in mm
(see Table 1).
3.2.2 The repeatability R in the performance of a Brinell
hardness machine at each hardness level, under the particular
verification conditions, is estimated by the range of diameter
measurements of n indentations made on a standardized test
block as part of a performance verification, defined as:
R 5 dmax – dmin (2)
where:
dmax = mean diameter of the largest measured indentation,
and
dmin = mean diameter of the smallest measured indenta-
tion.
3.2.3 The average H of a set of n Brinell hardness measure-
ment values H1, H2, ..., Hn is calculated as:
H 5
H1 1 H2 1 ... 1 Hn
n
(3)
3.2.4 The error E in the performance of a Brinell hardness
machine at each hardness level is determined as:
E 5 H – HSTD (4)
where:
H (Eq 3) = average of n hardness tests H1, H2, ..., Hn made
on a standardized test block as part of a
performance verification, and
HSTD = certified average hardness value of the stan-
dardized test block.
3.2.5 The mean diameter of an indentation d is calculated
as:
d 5
d1 1 d2 1 ... 1 dn
n
(5)
Where:
d1, d2, ..., dn = measured indentation diameters in mm,
and
n = the number of diameter measurements.
3.2.6 The average mean diameter d of a set of indentations
is calculated as:
d 5
d1 1 d2 1 ... 1 dN
N (6)
where:
d1, d2, ... dN = mean indentation diameters in mm, and
N = number of indentations (see Annex A4).
4. Significance and Use
4.1 The Brinell hardness test is an indentation hardness test
that can provide useful information about metallic materials.
This information may correlate to tensile strength, wear resis-
tance, ductility, or other physical characteristics of metallic
materials, and may be useful in quality control and selection of
materials.
4.2 Brinell hardness tests are considered satisfactory for
acceptance testing of commercial shipments, and have been
used extensively in industry for this purpose.
4.3 Brinell hardness testing at a specific location on a part
may not represent the physical characteristics of the whole part
or end product.
5. Principles of Test and Apparatus
5.1 Brinell Hardness Test Principle—The general principle
of the Brinell indentation hardness test consists of two steps
(see Fig. 1).
5.1.1 Step 1—The indenter is brought into contact with the
test specimen in a direction perpendicular to the surface, and
the test force F is applied. The test force is held for a specified
dwell time and then removed.
TABLE 1 Symbols and Designations
Symbol Designation
D Diameter of the ball, mm
F Test force, N
Fkgf Test force, kgf
Fkgf 5
1
gn 3 F
where gn is the acceleration due to gravity.
gn = 9.80665 kgf/N
d Mean diameter of the indentation, mm
d 5
d1 1 d2 1 ... 1 dn
n
where d1 + d2 + ... + dn are the measured indentation
diameters in mm, and n is the number of diameter
measurements.
h Depth of the indentation, mm
h 5
D – =D2 – d2
2
Force-
Diameter
ratio
5
Fkgf
D2
HBW Brinell hardness
5
Test Force
Surface area of indentation
5
2Fkgf
p D ~D – =D2 – d2!
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5.1.2 Step 2—The diameter of the indentation is measured
in at least two directions perpendicular to each other. The
Brinell hardness value is derived from the mean of the diameter
measurements.
5.2 Brinell Testing Machine—Equipment for Brinell hard-
ness testing usually consists of a testing machine, which
supports the test specimen and applies an indenting force to a
ball in contact with the specimen, and a system for measuring
the mean diameter of the indentation in accordance with the
Brinell hardness test principle. The design of the testing
machine shall be such that no rocking or lateral movement of
the indenter or specimen occurs while the force is being
applied. The design of the testing machine shall ensure that the
force to the indenter is applied smoothly and without impact
forces. Precautions shall be taken to prevent a momentary high
test force caused by the inertia of the system, hydraulic system
overshoot, etc.
5.2.1 See the Equipment Manufacturer’s Instruction Manual
for a description of the machine’s characteristics, limitations,
and respective operating procedures.
5.2.2 Anvils—An anvil, or specimen support, should be
used that is suitable for the specimen to be tested. The seating
and supporting surfaces of all anvils should be clean and free
of foreign material. Typically, anvils need only be replaced if
they fail to support the test surface perpendicular to the
indenter, or they are deemed unsafe.
5.2.3 Indenters—Indenters for the Brinell hardness test
shall be tungsten carbide balls of four allowed diameters (1,
2.5, 5 and 10 mm). Indenters shall meet the requirements
defined in Annex A3.
5.2.4 Oil, dirt, or other foreign materials shall not be
allowed to accumulate on the indenter, as this will affect the
test results.
5.2.5 Measurement Device—The measurement device used
for the measurement of the diameter of Brinell indentations
may be an integral part of the hardness machine or a separate
stand-alone instrument. The allowable measurement devices
are classified into two types. The Type A device includes
microscopes having movable measuring lines with some type
of indicator or computerized measuring system, or an image
analysis system. The Type B device is a hand-held microscope
(usually 203 or 403) with fixed measuring lines.
5.2.5.1 Type A Device—The acceptable minimum resolution
for a Type A device shall be as given in Table 2.
5.2.5.2 Type B Device—The acceptable maximum spacing
between the graduated lines of Type B devices shall be as given
in Table 2. Type B devices shall not be used for measuring
indentations made with 2.5 mm and 1 mm ball indenters.
5.3 Verification—Brinell testing machines and indentation
measurement devices shall be verified periodically in accor-
dance with Annex A1.
5.4 Test Blocks—Test blocks meeting the requirements of
Annex A4 shall be used to verify the testing machine in
accordance with Annex A1.
5.5 Brinell Hardness Scales—The combinations of indent-
ers and test forces define the Brinell hardness scales. The
standard Brinell hardness scales and test forces are given in
Table 3, corresponding to force-diameter ratios (see Table 1) of
1, 1.25, 2.5, 5, 10 and 30. Brinell hardness values should be
determined and reported in accordance with one of these
standard scales. Other scales using non-standard test forces
may be used by special agreement. Examples of other scales
and the corresponding force-diameter ratio (in parentheses) are
HBW 10/750 (7.5), HBW 10/2000 (20), HBW 10/2500 (25),
HBW 5/187.5 (7.5), and HBW 5/500 (20).
5.6 Calculation of the Brinell Hardness Number—The
Brinell hardness number shall be calculated from the mean
FIG. 1 Principle of Test
TABLE 2 Resolution and Graduation Spacing of Indentation
Measuring Devices
Type A Type B
Ball Diameter
mm
Minimum
Indicator Resolution
mm
Maximum
Graduation Spacing
mm
10 0.0100 0.100
5 0.0050 0.050
2.5 0.0025 –
1 0.0010 –
TABLE 3 Test Conditions and Recommended Hardness Range
Brinell
Hardness
Scale
Ball
Diameter
D
mm
Force-
Diameter
RatioA
Nominal Value of
Test Force, F
Recommended
Hardness Range
HBWN kgf
HBW 10/3000 10 30 29420 3000 95.5 to 650
HBW 10/1500 10 15 14710 1500 47.7 to 327
HBW 10/1000 10 10 9807 1000 31.8 to 218
HBW 10/500 10 5 4903 500 15.9 to 109
HBW 10/250 10 2.5 2452 250 7.96 to 54.5
HBW 10/125 10 1.25 1226 125 3.98 to 27.2
HBW 10/100 10 1 980.7 100 3.18 to 21.8
HBW 5/750 5 30 7355 750 95.5 to 650
HBW 5/250 5 10 2452 250 31.8 to 218
HBW 5/125 5 5 1226 125 15.9 to 109
HBW 5/62.5 5 2.5 612.9 62.5 7.96 to 54.5
HBW 5/31.25 5 1.25 306.5 31.25 3.98 to 27.2
HBW 5/25 5 1 245.2 25 3.18 to 21.8
HBW 2.5/187.5 2.5 30 1839 187.5 95.5 to 650
HBW 2.5/62.5 2.5 10 612.9 62.5 31.8 to 218
HBW 2.5/31.25 2.5 5 306.5 31.25 15.9 to 109
HBW 2.5/15.625 2.5 2.5 153.2 15.625 7.96 to 54.5
HBW 2.5/7.8125 2.5 1.25 76.61 7.8125 3.98 to 27.2
HBW 2.5/6.25 2.5 1 61.29 6.25 3.18 to 21.8
HBW 1/30 1 30 294.2 30 95.5 to 650
HBW 1/10 1 10 98.07 10 31.8 to 218
HBW 1/5 1 5 49.03 5 15.9 to 109
HBW 1/2.5 1 2.5 24.52 2.5 7.96 to 54.5
HBW 1/1.25 1 1.25 12.26 1.25 3.98 to 27.2
HBW 1/1 1 1 9.807 1 3.18 to 21.8
A See Table 1.
E 10 – 07a
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diameter d of the indentation using Eq 1 or from the values
given in Appendix X1.
5.6.1 Brinell hardness values shall not be designated by a
number alone because it is necessary to indicate which indenter
and which force has been employed in making the test (see
Table 3). Brinell hardness numbers shall be followed by the
symbol HBW, and be supplemented by an index indicating the
test conditions in the following order:
5.6.1.1 Diameter of the ball, mm,
5.6.1.2 A value representing the test force, kgf, (see Table 3)
and,
5.6.1.3 The applied force dwell time, s, if other than 10 s to
15 s.
5.6.2 The only exception to the above requirement is for the
HBW 10/3000 scale when a 10 s to 15 s dwell time is used.
Only in the case of this one Brinell hardness scale may the
designation be reported simply as HBW.
5.6.3 Examples:
220 HBW = Brinell hardness of 220 determined with a ball of 10 mm diameter
and with a test force of 29.42 kN (3000 kgf) applied for 10 s to 15 s
350 HBW 5/750 = Brinell hardness of 350 determined with a ball of 5 mm
diameter and with a test force of 7.355 kN (750 kgf) applied for 10 s to 15 s
600 HBW 1/30/20 = Brinell hardness of 600 determined with a ball of 1 mm
diameter and with a test force of 294.2 N (30 kgf) applied for 20 s
6. Test Piece
6.1 There is no standard shape or size for a Brinell test
specimen. The test piece on which the indentation is made
should conform to the following:
6.1.1 Thickness—The thickness of the specimen tested shall
be such that no bulge or other marking showing the effect of
the test force appears on the side of the piece opposite the
indentation. The thickness of the material under test should be
at least ten times the depth of the indentation h (see Table 4).
Table 4 can also be used as a guideline for the minimum depth
of a layer of a material, such as a coating.
NOTE 1—Brinell hardness testing can use high test forces. Under
certain conditions of testing a relatively thin material or coating on a
material with high hardness, there is a potential for the test material to
break or shatter under load resulting in serious personal injury or damage
to equipment. Users are strongly cautioned to exercise extreme care when
testing a material that could potentially fail under load. If there is a
concern or doubt, do not test the material.
6.1.2 Width—The minimum width shall conform to the
requirements for indentation spacing.
6.1.3 Finish—When necessary, the surface on which the
indentation is to be made should be filed, ground, machined or
polished flat with abrasive material so that the edge of the
indentation can be clearly defined to permit the measurement
of the diameter to the specified accuracy. Preparation shall be
carried out in such a way that any alteration of the surface
hardness of the test surface (for example, due to overheating or
cold-working) is minimized.
7. Test Procedure
7.1 The diameter of the indentation shall be between 24 and
60 % of the ball diameter. Approximate Brinell hardness
numbers are given in Table 3 for the above range of indentation
diameters.
NOTE 2—A lower limit in indentation diameter is necessary because of
the risk in damaging the ball and the difficulty in measuring the
indentation. The upper limit is necessary because of a reduction in
sensitivity as the diameter of the indentation approaches the ball diameter.
The thickness and spacing requirements may determine the maximum
permissible diameter of indentation for a specific test.
NOTE 3—It is not mandatory that Brinell tests conform to the hardness
scales of Table 3. It should be realized that different Brinell hardness
numbers may be obtained for a given material by using different forces on
the same size of ball. For the purpose of obtaining a continuous scale of
values, it may be desirable to use a single force to cover the complete
range of hardness for a given class of materials.
7.2 The Brinell hardness test is not recommended for
materials above 650 HBW 10/3000.
7.3 Direct comparisons of Brinell hardness numbers for
tests using different scales can be made only if the force-
diameter ratio is maintained (see Table 3). Brinell hardness
tests made on the same test material, but using different force-
diameter ratios, will produce different Brinell hardness num-
bers.
7.3.1 Example—An HBW 10/500 test will usually approxi-
mate an HBW 5/125 test since the force-diameter ratio is 5 for
both scales. However, a value of 160 HBW 10/500 will be
TABLE 4 Minimum Specimen Thickness Based on Ten-Times the
Indentation Depth
Diameter of
Indentation,
d
Minimum Specimen Thickness
10 mm
Ball
5 mm
Ball
2.5 mm
Ball
1 mm
Ball
mm mm in. mm in. mm in. mm in.
0.2 0.1 0.004
0.3 0.2 0.009
0.4 0.4 0.016
0.5 0.7 0.026
0.6 0.4 0.014 1.0 0.039
0.7 0.5 0.020
0.8 0.7 0.026
0.9 0.8 0.033
1.0 1.0 0.041
1.1 1.3 0.050
1.2 0.7 0.029 1.5 0.060
1.3 0.9 0.034 1.8 0.072
1.4 1.0 0.039 2.1 0.084
1.5 1.2 0.045 2.5 0.098
1.6 1.3 0.052
1.7 1.5 0.059
1.8 1.7 0.066
1.9 1.9 0.074
2.0 2.1 0.082
2.2 2.6 0.100
2.4 1.5 0.058 3.1 0.121
2.6 1.7 0.068 3.6 0.144
2.8 2.0 0.079 4.3 0.169
3.0 2.3 0.091 5.0 0.197
3.2 2.6 0.104
3.4 3.0 0.117
3.6 3.4 0.132
3.8 3.8 0.148
4.0 4.2 0.164
4.2 4.6 0.182
4.4 5.1 0.201
4.6 5.6 0.221
4.8 6.1 0.242
5.0 6.7 0.264
5.2 7.3 0.287
5.4 7.9 0.312
5.6 8.6 0.338
5.8 9.3 0.365
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approximately equal to 180 HBW 10/3000 on the same test
material because of different force-diameter ratios (5 and 30,
respectively).
7.4 Daily Verification—A daily verification of the testing
machine shall be performed in accordance with Annex A1 prior
to making hardness tests. It is also recommended that the
operation of the machine be checked in acc