ASTM A255-20a
(Test Method)Standard Test Methods for Determining Hardenability of Steel
Standard Test Methods for Determining Hardenability of Steel
SIGNIFICANCE AND USE
3.1 This test method covers the procedure for determining the hardenability of steel by the end-quench or Jominy test. The test consists of water quenching one end of a cylindrical test specimen 1.0 in. in diameter and measuring the hardening response as a function of the distance from the quenched end.
SCOPE
1.1 These test methods cover the identification and description of test methods for determining the hardenability of steels. The two test methods include the quantitative end-quench or Jominy Test and a method for calculating the hardenability of steel from the chemical composition based on the original work by M. A. Grossman.
1.2 The selection of the test method to be used for determining the hardenability of a given steel shall be agreed upon between the supplier and user. The Certified Material Test Report shall state the method of hardenability determination.
1.3 The calculation method described in these test methods is applicable only to the range of chemical compositions that follow:
Element
Range, %
Carbon
0.10–0.70
Manganese
0.50–1.65
Silicon
0.15–0.60
Nickel
1.50 max
Chromium
1.35 max
Molybdenum
0.55 max
Copper
0.35 max
Vanadium
0.20 max
1.4 Hardenability is a measure of the depth to which steel will harden when quenched from its austenitizing temperature (Table 1). It is measured quantitatively, usually by noting the extent or depth of hardening of a standard size and shape of test specimen in a standardized quench. In the end-quench test the depth of hardening is the distance along the specimen from the quenched end which correlates to a given hardness level.
1.5 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical conversions to SI units that are provided for information only and are not considered standard.
1.6 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 appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use.
1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
General Information
- Status
- Published
- Publication Date
- 31-Oct-2020
- Technical Committee
- A01 - Steel, Stainless Steel and Related Alloys
- Drafting Committee
- A01.15 - Bars
Relations
- Effective Date
- 01-Jul-2018
- Effective Date
- 01-Jul-2017
- Effective Date
- 01-Dec-2012
- Effective Date
- 15-Nov-2012
- Effective Date
- 01-Nov-2011
- Effective Date
- 01-Nov-2010
- Effective Date
- 15-May-2008
- Effective Date
- 15-Jan-2008
- Effective Date
- 01-Apr-2007
- Effective Date
- 23-Oct-2006
- Effective Date
- 01-Apr-2005
- Effective Date
- 01-Feb-2005
- Effective Date
- 01-Nov-2004
- Effective Date
- 01-Nov-2004
- Effective Date
- 10-Jun-2003
Overview
ASTM A255-20a is the recognized international standard specifying the test methods for determining the hardenability of steel. Developed by ASTM International, this standard outlines two primary approaches: the physical end-quench (Jominy) test and a method for calculating hardenability from chemical composition, following the foundational work of M. A. Grossman. The standard is widely used in the steel industry, ensuring consistency and reliability in determining how deep steel will harden under controlled quenching conditions. This is crucial for manufacturers, suppliers, and end users seeking predictable mechanical properties in steel products.
Key Topics
- Jominy End-Quench Test: Describes the preparation, quenching, and hardness measurement along a cylindrical steel specimen after one end is subjected to a controlled water jet. Hardenability is presented as the variation of hardness with distance from the quenched end.
- Chemical Composition Range: Specifies the applicable composition limits for calculating hardenability, covering common elements such as carbon, manganese, silicon, nickel, chromium, molybdenum, copper, and vanadium.
- Reporting Requirements: Outlines the key information to document, including specimen thermal history, chemical composition, grain size (per ASTM E112), and clear identification of the hardenability determination method.
- Selection of Test Method: The choice between the Jominy test and calculation from composition should be agreed upon by supplier and user, with reporting transparency.
- Calculation Methodology: Provides a formulaic approach for estimating hardenability using multiplying factors based on chemical composition, suitable for both boron and non-boron steels within specified limits.
- Units of Measurement: Uses inch-pound units as standard, with SI conversions for reference only.
- Safety Considerations: Reminds users to implement appropriate safety, health, and environmental practices.
Applications
- Quality Control in Steel Production: The ASTM A255-20a test methods are essential in steel mills and forgers to validate that heat-treated steel achieves the intended hardness profile, supporting consistency in mechanical properties and product performance.
- Materials Engineering: Design engineers use hardenability data to select steels that will perform reliably in critical applications, balancing toughness and strength for components such as gears, shafts, and automotive parts.
- Supplier-Customer Agreements: Provides an authoritative reference for specifying and verifying hardenability requirements in procurement, material specifications, and certified material test reports.
- Process Optimization: Efficient steel hardenability determination supports optimized heat treatment and cost-effective manufacturing, reducing waste and the risk of part rejection.
Related Standards
When implementing ASTM A255-20a, consider its integration with these key related standards:
- ASTM E18: Test Methods for Rockwell Hardness of Metallic Materials - Standardizes the hardness testing apparatus and procedures referenced in the Jominy test.
- ASTM E112: Test Methods for Determining Average Grain Size - Relevant for reporting grain size in steel hardenability assessments.
- ASTM Hardenability Chart (Adjunct) - Facilitates standardized plotting and interpretation of Jominy test data.
- Other Steel Standards (e.g., ASTM A29, ASTM A322) - May include product-specific hardenability requirements that reference ASTM A255.
Keywords: ASTM A255, steel hardenability, Jominy test, end-quench test, hardenability test methods, steel mechanical properties, ASTM standards, quality control in steel production
By following ASTM A255-20a, steel producers and users can ensure robust, comparable hardenability data-enabling optimized material selection and performance in critical engineering applications.
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Frequently Asked Questions
ASTM A255-20a is a standard published by ASTM International. Its full title is "Standard Test Methods for Determining Hardenability of Steel". This standard covers: SIGNIFICANCE AND USE 3.1 This test method covers the procedure for determining the hardenability of steel by the end-quench or Jominy test. The test consists of water quenching one end of a cylindrical test specimen 1.0 in. in diameter and measuring the hardening response as a function of the distance from the quenched end. SCOPE 1.1 These test methods cover the identification and description of test methods for determining the hardenability of steels. The two test methods include the quantitative end-quench or Jominy Test and a method for calculating the hardenability of steel from the chemical composition based on the original work by M. A. Grossman. 1.2 The selection of the test method to be used for determining the hardenability of a given steel shall be agreed upon between the supplier and user. The Certified Material Test Report shall state the method of hardenability determination. 1.3 The calculation method described in these test methods is applicable only to the range of chemical compositions that follow: Element Range, % Carbon 0.10–0.70 Manganese 0.50–1.65 Silicon 0.15–0.60 Nickel 1.50 max Chromium 1.35 max Molybdenum 0.55 max Copper 0.35 max Vanadium 0.20 max 1.4 Hardenability is a measure of the depth to which steel will harden when quenched from its austenitizing temperature (Table 1). It is measured quantitatively, usually by noting the extent or depth of hardening of a standard size and shape of test specimen in a standardized quench. In the end-quench test the depth of hardening is the distance along the specimen from the quenched end which correlates to a given hardness level. 1.5 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical conversions to SI units that are provided for information only and are not considered standard. 1.6 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 appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. 1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
SIGNIFICANCE AND USE 3.1 This test method covers the procedure for determining the hardenability of steel by the end-quench or Jominy test. The test consists of water quenching one end of a cylindrical test specimen 1.0 in. in diameter and measuring the hardening response as a function of the distance from the quenched end. SCOPE 1.1 These test methods cover the identification and description of test methods for determining the hardenability of steels. The two test methods include the quantitative end-quench or Jominy Test and a method for calculating the hardenability of steel from the chemical composition based on the original work by M. A. Grossman. 1.2 The selection of the test method to be used for determining the hardenability of a given steel shall be agreed upon between the supplier and user. The Certified Material Test Report shall state the method of hardenability determination. 1.3 The calculation method described in these test methods is applicable only to the range of chemical compositions that follow: Element Range, % Carbon 0.10–0.70 Manganese 0.50–1.65 Silicon 0.15–0.60 Nickel 1.50 max Chromium 1.35 max Molybdenum 0.55 max Copper 0.35 max Vanadium 0.20 max 1.4 Hardenability is a measure of the depth to which steel will harden when quenched from its austenitizing temperature (Table 1). It is measured quantitatively, usually by noting the extent or depth of hardening of a standard size and shape of test specimen in a standardized quench. In the end-quench test the depth of hardening is the distance along the specimen from the quenched end which correlates to a given hardness level. 1.5 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical conversions to SI units that are provided for information only and are not considered standard. 1.6 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 appropriate safety, health, and environmental practices and determine the applicability of regulatory limitations prior to use. 1.7 This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
ASTM A255-20a is classified under the following ICS (International Classification for Standards) categories: 77.080.20 - Steels. The ICS classification helps identify the subject area and facilitates finding related standards.
ASTM A255-20a has the following relationships with other standards: It is inter standard links to ASTM E18-18, ASTM E18-17, ASTM E18-12, ASTM E112-12, ASTM E18-11, ASTM E112-10, ASTM E18-08a, ASTM E18-08, ASTM E18-07, ASTM E112-96(2004)e2, ASTM E18-05e1, ASTM E18-05, ASTM E112-96(2004), ASTM E112-96(2004)e1, ASTM E18-03e1. Understanding these relationships helps ensure you are using the most current and applicable version of the standard.
ASTM A255-20a is available in PDF format for immediate download after purchase. The document can be added to your cart and obtained through the secure checkout process. Digital delivery ensures instant access to the complete standard document.
Standards Content (Sample)
This international standard was developed in accordance with internationally recognized principles on standardization established in the Decision on Principles for the
Development of International Standards, Guides and Recommendations issued by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
Designation: A255 − 20a
Standard Test Methods for
Determining Hardenability of Steel
This standard is issued under the fixed designation A255; the number immediately following the designation indicates the year of
original adoption or, in the case of revision, the year of last revision.Anumber in parentheses indicates the year of last reapproval.A
superscript epsilon (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope* responsibility of the user of this standard to establish appro-
priate safety, health, and environmental practices and deter-
1.1 These test methods cover the identification and descrip-
mine the applicability of regulatory limitations prior to use.
tionoftestmethodsfordeterminingthehardenabilityofsteels.
1.7 This international standard was developed in accor-
The two test methods include the quantitative end-quench or
dance with internationally recognized principles on standard-
Jominy Test and a method for calculating the hardenability of
ization established in the Decision on Principles for the
steelfromthechemicalcompositionbasedontheoriginalwork
Development of International Standards, Guides and Recom-
by M. A. Grossman.
mendations issued by the World Trade Organization Technical
1.2 The selection of the test method to be used for deter-
Barriers to Trade (TBT) Committee.
mining the hardenability of a given steel shall be agreed upon
between the supplier and user. The Certified Material Test 2. Referenced Documents
Report shall state the method of hardenability determination. 2
2.1 ASTM Standards:
1.3 The calculation method described in these test methods E18Test Methods for Rockwell Hardness of Metallic Ma-
is applicable only to the range of chemical compositions that terials
follow: E112Test Methods for Determining Average Grain Size
Element Range, %
END-QUENCH OR JOMINY TEST
Carbon 0.10–0.70
Manganese 0.50–1.65
Silicon 0.15–0.60
3. Description
Nickel 1.50 max
Chromium 1.35 max 3.1 This test method covers the procedure for determining
Molybdenum 0.55 max
thehardenabilityofsteelbytheend-quenchorJominytest.The
Copper 0.35 max
test consists of water quenching one end of a cylindrical test
Vanadium 0.20 max
specimen 1.0 in. in diameter and measuring the hardening
1.4 Hardenability is a measure of the depth to which steel
response as a function of the distance from the quenched end.
will harden when quenched from its austenitizing temperature
(Table 1). It is measured quantitatively, usually by noting the
4. Apparatus
extentordepthofhardeningofastandardsizeandshapeoftest
4.1 Support for Test Specimen—Afixture for supporting the
specimen in a standardized quench. In the end-quench test the
test specimen vertically so that the lower end of the specimen
depthofhardeningisthedistancealongthespecimenfromthe
is a distance of 0.5 in. (12.7 mm) above the orifice of the
quenched end which correlates to a given hardness level.
water-quenching device.Asatisfactory type of support for the
1.5 Thevaluesstatedininch-poundunitsaretoberegarded
standard 1.0 in. (25.4 mm) specimen is shown in Fig. 1.
as standard. The values given in parentheses are mathematical
NOTE 1—Asuitable support for other sizes and shapes of specimens is
conversions to SI units that are provided for information only
shown in Fig. X1.1.
and are not considered standard.
4.2 Water-QuenchingDevice—Awater-quenchingdeviceof
1.6 This standard does not purport to address all of the
suitable capacity to provide a vertical stream of water that can
safety concerns, if any, associated with its use. It is the
be controlled to a height of 2.5 in. (63.5 mm) when passing
through an orifice 0.5 in. (12.7 mm) in diameter. A tank of
These test methods are under the jurisdiction of ASTM Committee A01 on
Steel, Stainless Steel and Related Alloys and are the direct responsibility of
Subcommittee A01.15 on Bars. For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Current edition approved Nov. 1, 2020. Published November 2020. Originally contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
approved in 1942. Last previous edition approved in 2020 as A255–20. DOI: Standards volume information, refer to the standard’s Document Summary page on
10.1520/A0255-20A. the ASTM website.
*A Summary of Changes section appears at the end of this standard
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
A255 − 20a
A
TABLE 1 Normalizing and Austenitizing Temperatures NOTE 2—Other sizes and shapes of test specimens are described in
Appendix X1.
Normalizing Austenitizing
Steel Series Ordered Carbon Temperature, Temperature,
6. Procedure
Content, max, % °F (°C) °F (°C)
1000, 1300, 1500, 0.25 and under 1700 (925) 1700 (925)
6.1 Normalizing—The wrought product from which the
3100, 4000, 4100
specimenistobepreparedshallbenormalizedtoensureproper
hardening characteristics. The sample shall be held at the
4300, 4400, 4500, 0.26 to 0.36, incl 1650 (900) 1600 (870)
4600, 4700, 5000,
temperature listed in Table 1 for 1 h and cooled in air.
B
5100, 6100, 8100,
Tempering of the normalized sample to improve machinability
8600, 8700, 8800,
0.37 and over 1600 (870) 1550 (845)
9400, 9700, 9800
is permitted.
6.2 Heating—Place the specimen in a furnace that is at the
0.25 and under 1700 (925) 1550 (845)
2300, 2500, 3300,
specified austenitizing temperature (Table 1) and hold at this
0.26 to 0.36, incl 1650 (900) 1500 (815)
4800, 9300
temperature for 30 min. In production testing slightly longer
0.37 and over 1600 (870) 1475 (800)
times up to 35 min may be used without appreciably affecting
results. It is important to heat the specimen in such an
9200 0.50 and over 1650 (900) 1600 (870)
atmosphere that practically no scaling and a minimum of
A
A variation of ±10 °F (6 °C) from the temperatures in this table is permissible.
decarburization takes place. This may be accomplished by
B
Normalizing and austenitizing temperatures are 50 °F (30 °C) higher for the 6100
heating the specimen in a vertical position in a container with
series.
an easily removable cover containing a layer of cast-iron chips
with the bottom face of the specimen resting on the chips.
6.2.1 Other methods consist of placing the specimen in an
appropriately sized hole in a graphite block or placing the
sufficient capacity to maintain the water temperature require-
ments of 6.3 with a small pump and control valves will be specimen in an upright tube attached to a flat base, both of a
heat-resistant metal, with the collar projecting for a tong hold.
foundsatisfactory.Thewater-supplylineshallalsobeprovided
with a quick opening valve. Place a disk of graphite or carbon, or a layer of carbonaceous
material such as charcoal, in the bottom of the tube to prevent
5. Test Specimens
scaling.
6.2.2 Foraparticularfixtureandfurnace,determinethetime
5.1 Wrought Specimens—End-quench specimens shall be
required to heat the specimen to the austenitizing temperature
preparedfromrolledorforgedstockandshallrepresentthefull
byinsertingathermocoupleintoaholedrilledaxiallyinthetop
crosssectionoftheproduct.Ifnegotiatedbetweenthesupplier
of the specimen. Repeat this procedure periodically, for ex-
and the user, the end-quench specimen may be prepared from
ample once a month, for each combination of fixture and
a given location in a forged or rolled product or from a
furnace.
continuous cast billet. The test specimen shall be 1.0 in. (25.4
mm) in diameter by 4.0 in. (101.6 mm) in length, with means 6.3 Quenching—Adjust the water-quenching device so that
for hanging it in a vertical position for end quenching.
the stream of water rises to a free height of 2.5 in. (63.5 mm)
Dimensions of the preferred specimen and of an optional
above the 0.5 in. (12.7 mm) orifice, without the specimen in
specimen (Note 2) are given in Figs. 2 and 3. The specimen
position. The support for the specimen shall be dry at the
shall be machined from a bar previously normalized in
beginning of each test. Then place the heated specimen in the
accordance with 6.1 and of such size as to permit the removal
support so that its bottom face is 0.5 in. above the orifice, and
ofalldecarburizationinmachiningto1.0in.round.Theendof
turn on the water by means of the quick-opening valve. The
the specimen to be water cooled shall have a reasonably
time between removal of the specimen from the furnace and
smooth finish, preferably produced by grinding. Normalizing
thebeginningofthequenchshouldnotbemorethan5s.Direct
may be waived by agreement between the supplier and the
the stream of water, at a temperature of 40°F to 85°F (5°C to
user.The previous thermal history of the specimen tested shall
30°C), against the bottom face of the specimen for not less
always be recorded.
than 10 min. Maintain a condition of still air around the
specimen during cooling. If the specimen is not cold when
5.2 Cast Specimens—A separately cast end-quench speci-
removed from the fixture, immediately quench it in water.
men may be used for non-boron steels. Cast specimens are not
suitable for boron steel grades due to erratic results.Agraphite 6.4 Hardness Measurement—Two flats 180° apart shall be
ormetalmoldmaybeusedtoformanoverlengthspecimen1.0 ground to a minimum depth of 0.015 in. (0.38 mm) along the
in. (25.4 mm) in diameter which shall be cut to the standard entire length of the bar and Rockwell C hardness measure-
specimen size. The mold may also be used to form a 1.25 in. ments made along the length of the bar. Shallower ground
(31.8 mm) diameter specimen which shall be machined to the depthscanaffectreproducibilityofresults,andcorrelationwith
final specimen size. Cast tests need not be normalized. cooling rates in quenched bars.
A255 − 20a
FIG. 1 Test Specimen in Support for Water Quenching
FIG. 2 Preferred Test Specimen
FIG. 3 Optional Test Specimen
6.4.1 The preparation of the two flats must be carried out cooling and a coarse, soft-grinding wheel are recommended to
with considerable care. They should be mutually parallel and avoidheatingthespecimen.Inordertodetecttemperingdueto
the grinding done in such a manner that no change of the grinding, the flat may be etched with one of the following
quenched structure takes place. Very light cuts with water etchant solutions:
A255 − 20a
NOTE 3—5% nitric acid (concentrated) and 95% water by volume.
6.4.4.2 For reporting purposes, hardness readings should be
NOTE 4—50% hydrochloric acid (concentrated) and 50% water by
recorded to the nearest integer, with 0.5 HRC values rounded
volume.
to the next higher integer.
Wash the sample in hot water. Etch in solution No. 1 until
7. Plotting Test Results
black.Washinhotwater.ImmerseinsolutionNo.2for3sand
wash in hot water. Dry in air blast. 7.1 Test results should be plotted on a standard hardenabil-
ity chart prepared for this purpose, in which the ordinates
6.4.1.1 Thepresenceoflighterordarkerareasindicatesthat
represent HRC values and the abscissae represent the distance
hardness and structure have been altered in grinding. If such
from the quenched end of the specimen at which the hardness
changes caused by grinding are indicated, new flats may be
determinations were made. When hardness readings are taken
prepared.
on two or more flats, the values at the same distance should be
6.4.2 When hardness tests are made, the test specimen rests
averaged and that value used for plotting. A facsimile of the
on one of its flats on an anvil firmly attached to the hardness
standard ASTM hardenability chart on which typical harden-
machine. It is important that no vertical movement be allowed
ability curves have been plotted is shown in Fig. 4.
when the major load is applied. The anvil must be constructed
to move the test specimen past the penetrator in accurate steps
8. Index of Hardenability
of ⁄16 in. (1.5 mm). Resting the specimen in a V-block is not
8.1 The hardenability of a steel can be designated by a
permitted.
specific HRC hardness value or HRC hardness value range at
6.4.2.1 The Rockwell tester should periodically be checked
a given Jominy (“J”) distance. Examples of this method are
againststandardtestblocks.Itisrecommendedthatatestblock
4 7
J ⁄16 in. (6.4 mm) = 47 HRC min, J ⁄16 in. (11.1 mm) = 50
be interposed between the specimen and the indenter to check
HRC max, and J ⁄16 in. (7.9 mm) = 38–49 HRC.
the seating of the indenter and the specimen simultaneously.
For general statements regarding the use of test blocks and
9. Report
surface conditions, reference should be made to 4.7 and 5.2,
9.1 Report the following information that may be recorded
respectively, of Test Methods E18.
on the ASTM hardenability chart:
6.4.3 Exercisecareinregisteringthepointoftheindenterin
9.1.1 Previous thermal history of the specimen tested, in-
relationship to the quenched end of the specimen as well as
cluding the temperature of normalizing and austenitizing,
providing for accurate spacing between indentations. A low-
9.1.2 Chemical Composition,
powermeasuringmicroscopeissuitableforuseindetermining
9.1.3 ASTM grain size (McQuaid-Ehn) as determined by
the distance from the quenched end to the center of the first
Test Methods E112, unless otherwise indicated, and
impression and in checking the distance from center to center
9.1.4 A prominent notation on the standard hardenability
of the succeeding impressions. It has been found that with
chart if any of the test specimens listed in Appendix X1 are
reasonableoperatingcareandawell-builtfixture,itispractical
used.
to locate the center of the first impression 0.0625 in. 6 0.004
in. (1.5 mm 6 0.10 mm) from the quenched end. The
CALCULATION OF HARDENABILITY
variations between spacings should be even smaller.
10. Introduction
Obviously, it is more important to position the indenter
accurately when testing low-hardenability steels than when
10.1 This method of Jominy Hardenability calculation from
testing high-hardenability steels. The positioning of the in-
the chemical ideal diameter (DI) on a steel is based on the
denter should be checked with sufficient frequency to provide
original work of M. A. Grossman and provides increased
assurancethataccuracyrequirementsarebeingmet.Incasesof
accuracy by refinement of the carbon multiplying factors and
lack of reproducibility or of differences between laboratories,
the correlation of a boron factor (B.F.) with carbon and alloy
indenter spacing should be measured immediately.
content. These refinements were based on analysis of thou-
6.4.4 Readingsshallbetakeninstepsof ⁄16in.(1.6mm)for sands of heats of boron and non-boron 1500, 4100, 5000, and
the first 16 sixteenths (25.4 mm), then 18, 20, 22, 24, 28, and 8600 series steels encompassing a range of compositions as
32 sixteenths of an inch. Values below 20 HRC are not follows and a range of DI as contained in Tables 2-5. The
recorded because such values are not accurate. When a flat on accuracyofthistestmethodandthetechniquesusedtodevelop
which readings have been made is used as a base, the burrs ithavebeendocumented.Forcomparisonofthistestmethodto
around the indentation shall be removed by grinding unless a others, or for steel compositions outside the mentioned grades,
fixture is used which has been relieved to accommodate the the user should refer to other articles concerned with calculat-
irregularities due to the indentations. ing hardenability.
6.4.4.1 Hardness readings should preferably be made on Element Range, %
two flats 180° apart. Testing on two flats will assist in the
Carbon 0.10–0.70
detection of errors in specimen preparation and hardness
Manganese 0.50–1.65
measurement. If the two probes on opposite sides differ by Silicon 0.15–0.60
Nickel 1.50 max
morethan4HRCpointsatanyoneposition,thetestshouldbe
Chromium 1.35 max
repeated on new flats, 90° from the first two flats. If the retest
Molybdenum 0.55 max
also has greater than 4 HRC points spread, a new specimen Copper 0.35 max
Vanadium 0.20 max
should be tested.
A255 − 20a
FIG. 4 Facsimile of Standard ASTM Hardenability Chart, Showing Typical Hardenability Curves
[Chart Size: 8 ⁄2 in. by 11 in. (216 mm by 279 mm)]
differs from the procedure as shown in 6.4.4.
10.1.1 Calculated DI and Jominy hardenability curves are
valid only within the chemical ranges stated above. However,
10.3 DICalculationforNon-BoronSteels—Thiscalculation
to facilitate melting process control for higher alloy steels,
relies on a series of hardenability factors (Table 6) for each
Hardenability Multiplying Factors have been included for
alloying element in the composition which, when multiplied
calculating the DI within the following chemical composition
together, gives a DI value. (For simplicity, only multiplying
ranges:
factors for DI in inch-pound units are given. For DI in
Element Range, % millimetres, use the metric value table.) The effects of phos-
phorousandsulfurarenotconsideredsincetheytendtocancel
Carbon 0.01–0.90
oneanother.ANo.7austeniticgrainsizeisassumedsincemost
Manganese 0.01–1.95
steels with hardenability control are melted to a fine-grain
Silicon 0.01–2.00
Nickel 0.01–3.50
practice where experience has demonstrated that a high per-
Chromium 0.01–2.50
centage of heats conform to this grain size. An example DI
Molybdenum 0.01–0.55
Copper 0.01–0.55 calculationisgivenasfollowsforanSAE4118modifiedsteel:
Vanadium 0.01–0.20
Element % Multiplying Factor
Zirconium 0.01–0.25
Carbon 0.22 0.119
10.2 Tables 2-18 are to be used to calculate hardenability
Manganese 0.80 3.667
fromthechemicalidealdiameterforthegradesshownin10.1.
Silicon 0.18 1.126
Hardenabilityresultsaretobereportedforthefirst10sixteenth
Nickel 0.10 1.036
Chromium 0.43 1.929
(16mm),the12,14,16,18,20,24,28,and32sixteenthsofan
Molybdenum 0.25 1.75
inch.
Copper 0.10 1.04
Vanadium 0.05 1.09
NOTE 5—The reporting of hardenability using the calculated method
A255 − 20a
where: 10.4.5.3 Determine the boron multiplying factor fromTable
10.Forthisexamplewith0.29%carbonandanalloyfactorof
DI =0.119×3.667×1.126×1.036×1.929×1.75×1.04×1.09=1.95in.
8.6, the boron multiplying factor is 2.31 (interpolation re-
10.4 DI Calculation for Boron Steels—With an effective
quired).
steel making process, the boron factor (signifying the contri-
10.4.6 Calculate the DI with boron as follows:
bution for boron to increased hardenability) is an inverse
where:
functionofthecarbonandalloycontent.Thehigherthecarbon
or alloy content, or both, the lower the boron factor. DI = DI (without boron) × boron factor
B
DI = 1.35 in. × 2.31
B
10.4.1 Theactualboronfactorisexpressedbythefollowing
DI = 3.12 in.
B
relationship:
10.5 Hardenability Curves from Composition—With a pre-
measuredDI ~fromJominydataandcarboncontent!
B.F. 5 (1) determined DI (DI for boron steel), the end-quench harden-
B
calculatedDI ~fromcompositionexcludingboron!
ability curve can be computed by the following procedure:
10.5.1 The initial hardness (IH) at the J = ⁄16 in. position is
10.4.2 An example of actual boron factor determination is
a function of carbon content and independent of hardenability
given as follows for an SAE 15B30 modified steel:
and is selected from Table 7. For the example non-boron SAE
Calculated
DI 4118 modified heat containing 0.22% carbon, the initial
Composition, (boron
hardness is 45 HRC.
% C Mn Si Ni Cr Mo Cu B excluded)
10.5.2 Thehardnessatotherpositionsalongtheend-quench
0.29 1.25 0.20 0.13 0.07 0.03 0.24 0.0015 1.35
in.
specimen(termeddistancehardness)isdeterminedbydividing
End-Quench Test Results, in.
the initial hardness by the appropriate factor from Table 2 (in.)
“J” Position ( ⁄8in.) 1234567
or Table 3 (mm) for non-boron steels or from Table 4 (in.) or
Hardness, HRC 50 50 49 48 47 45 41
1 Table 5 (mm) for boron steels.
“J” Position ( ⁄8in.) 8 9 10121416
Hardness, HRC 38 33 28 25 22 20
10.6 For the example non-boron heat with an IH = 45 HRC
10.4.3 Using Table 7, determine the nearest location on the and a calculated DI of 1.95 in., the hardness at the respective
end-quench positions can be calculated by dividing 45 by the
end-quench curve where hardness corresponding to 50%
appropriatedividingfactorlistedinTable2(in.)fornon-boron
martensite occurs for the actual carbon content. For the
steels. (For simplicity, the DI should be rounded to the nearest
example heat with 0.29 carbon, this hardness is 37 HRC
0.1 in.).
occurring at a “J” distance of ⁄16in. from the quenched end
(interpolation required).
10.7 Distance Dividing Hardness Factors in Tables 2-5 are
10.4.4 FromTable8(in.),a“J”distanceof ⁄16in.equatesto calculated from the equations in Tables 15-18. Multiplying
Factors in Table 6 are calculated from the equations in Table
a measured DI of 2.97 in. (interpolation required).
11.JominyDistancefor50%MartensiteversusDIinTables8
2.97in.
BoronFactor 5 52.2boronfactor (2) and 9 are calculated from the equations in Table 13. Boron
1.35in.
Factor versus % Carbon and Alloy Factor in Table 10 are
calculatedfromtheequationsinTable14.Equationsrepresent-
10.4.5 Calculation of DI with Boron (DI ):
B
ingaleastsquarespolynomialfitofthedatacontainedinTable
10.4.5.1 CalculatetheDIwithoutboron.Fortheexamplein
7islistedinTable12.Theuseoftheseequationstoplotcurves
10.4.4, this DI is 1.35 in.
mayresultinrandominflectionpointsduetothecharacteristics
10.4.5.2 Calculate the alloy factor (the product of all the
of polynomial equations. These inflections will be minor,
multiplying factors from Table 6 excluding carbon). For the
however, and should be disregarded.
example in 10.4.4:
11. Keywords
CalculatedDI ~withoutboron! 1.35in.
AlloyFactor 5 5 58.6 (3)
Carbonmultiplyingfactor 0.157in. 11.1 end-quench hardenability; hardenability
A255 − 20a
TABLE 2 Distance Hardness Dividing Factors for Non-Boron Steels, in.
Ideal 1
Jominy End-Quench Distance ( ⁄16 in.)
Diameter
23456789 10 12 14 16 18 20 24 28 32
(DI), in.
1 1.15 1.50 2.14 2.46 2.72 2.81 2.92 3.07 3.22 3.49
1.1 1.12 1.42 1.99 2.32 2.60 2.70 2.80 2.94 3.07 3.34
1.2 1.10 1.35 1.85 2.20 2.48 2.59 2.69 2.81 2.94 3.20 3.32 3.44
1.3 1.08 1.29 1.74 2.09 2.38 2.48 2.58 2.69 2.81 3.07 3.19 3.30 3.53
1.4 1.07 1.24 1.64 1.99 2.27 2.38 2.47 2.58 2.69 2.95 3.06 3.17 3.37 3.50 3.79
1.5 1.05 1.19 1.56 1.89 2.18 2.28 2.37 2.47 2.58 2.83 2.94 3.05 3.22 3.35 3.61
1.6 1.04 1.16 1.49 1.81 2.09 2.19 2.28 2.37 2.47 2.73 2.83 2.94 3.09 3.21 3.45 3.67 3.77
1.7 1.03 1.13 1.43 1.73 2.00 2.10 2.19 2.28 2.38 2.62 2.73 2.83 2.96 3.07 3.30 3.51 3.63
1.8 1.02 1.11 1.37 1.66 1.92 2.02 2.11 2.19 2.29 2.53 2.63 2.73 2.85 2.95 3.17 3.37 3.49
1.9 1.02 1.09 1.33 1.60 1.85 1.94 2.03 2.11 2.20 2.44 2.54 2.64 2.74 2.84 3.04 3.24 3.36
2 1.01 1.08 1.29 1.54 1.78 1.87 1.95 2.03 2.12 2.35 2.45 2.55 2.65 2.74 2.93 3.12 3.24
2.1 1.01 1.07 1.26 1.48 1.72 1.80 1.89 1.96 2.05 2.27 2.37 2.47 2.56 2.65 2.83 3.00 3.13
2.2 1.00 1.07 1.23 1.44 1.65 1.74 1.82 1.90 1.98 2.20 2.30 2.39 2.47 2.56 2.74 2.90 3.03
2.3 1.00 1.06 1.21 1.39 1.60 1.68 1.76 1.83 1.91 2.13 2.22 2.32 2.40 2.48 2.65 2.81 2.93
2.4 1.00 1.06 1.18 1.35 1.55 1.62 1.70 1.77 1.85 2.06 2.16 2.25 2.32 2.41 2.57 2.72 2.84
2.5 1.00 1.05 1.17 1.32 1.50 1.57 1.65 1.72 1.80 2.00 2.09 2.19 2.26 2.34 2.50 2.64 2.76
2.6 1.00 1.05 1.15 1.29 1.45 1.52 1.60 1.67 1.74 1.94 2.03 2.13 2.19 2.27 2.43 2.57 2.68
2.7 1.00 1.04 1.13 1.26 1.41 1.48 1.56 1.62 1.69 1.88 1.97 2.07 2.14 2.21 2.37 2.50 2.61
2.8 1.00 1.04 1.12 1.23 1.37 1.44 1.52 1.58 1.65 1.83 1.92 2.02 2.08 2.16 2.31 2.43 2.54
2.9 1.00 1.03 1.11 1.21 1.34 1.40 1.48 1.54 1.61 1.78 1.87 1.97 2.03 2.10 2.25 2.37 2.48
3 1.00 1.02 1.10 1.19 1.31 1.37 1.44 1.50 1.56 1.73 1.82 1.92 1.98 2.05 2.20 2.31 2.41
3.1 1.00 1.01 1.09 1.17 1.28 1.34 1.41 1.47 1.53 1.68 1.77 1.87 1.94 2.01 2.15 2.26 2.36
3.2 1.00 1.00 1.08 1.15 1.25 1.31 1.38 1.43 1.49 1.64 1.73 1.83 1.89 1.96 2.10 2.21 2.30
3.3 1.00 1.00 1.07 1.13 1.23 1.28 1.35 1.40 1.46 1.60 1.69 1.79 1.85 1.92 2.05 2.16 2.25
3.4 1.00 1.00 1.06 1.12 1.20 1.26 1.32 1.37 1.43 1.56 1.65 1.75 1.81 1.87 2.01 2.11 2.20
3.5 1.00 1.00 1.05 1.10 1.18 1.24 1.30 1.35 1.40 1.53 1.61 1.71 1.77 1.83 1.96 2.07 2.15
3.6 1.00 1.00 1.05 1.09 1.17 1.22 1.28 1.32 1.37 1.49 1.58 1.68 1.73 1.79 1.92 2.02 2.10
3.7 1.00 1.00 1.04 1.08 1.15 1.20 1.26 1.30 1.35 1.46 1.54 1.64 1.70 1.76 1.87 1.98 2.06
3.8 1.00 1.00 1.04 1.07 1.14 1.18 1.24 1.28 1.32 1.43 1.51 1.61 1.66 1.72 1.83 1.94 2.01
3.9 1.00 1.00 1.03 1.06 1.12 1.17 1.22 1.25 1.30 1.40 1.48 1.58 1.63 1.68 1.79 1.90 1.97
4 1.00 1.00 1.02 1.05 1.11 1.15 1.20 1.24 1.28 1.37 1.45 1.55 1.60 1.65 1.75 1.86 1.93
4.1 1.00 1.00 1.01 1.04 1.10 1.14 1.18 1.22 1.26 1.35 1.42 1.52 1.57 1.62 1.71 1.82 1.89
4.2 1.00 1.00 1.00 1.03 1.09 1.13 1.17 1.20 1.24 1.32 1.39 1.49 1.54 1.58 1.68 1.78 1.85
4.3 1.00 1.00 1.00 1.02 1.08 1.12 1.15 1.18 1.22 1.30 1.37 1.46 1.51 1.55 1.64 1.75 1.82
4.4 1.00 1.00 1.00 1.01 1.07 1.10 1.14 1.17 1.21 1.28 1.35 1.44 1.48 1.52 1.60 1.71 1.78
4.5 1.00 1.00 1.00 1.00 1.06 1.09 1.13 1.15 1.19 1.26 1.32 1.41 1.45 1.49 1.57 1.67 1.75
4.6 1.00 1.00 1.00 1.00 1.05 1.08 1.11 1.14 1.18 1.24 1.30 1.39 1.42 1.46 1.54 1.64 1.71
4.7 1.00 1.00 1.00 1.00 1.04 1.07 1.10 1.13 1.16 1.22 1.28 1.36 1.40 1.43 1.50 1.60 1.68
4.8 1.00 1.00 1.00 1.00 1.03 1.06 1.09 1.11 1.15 1.21 1.26 1.34 1.37 1.40 1.47 1.57 1.65
4.9 1.00 1.00 1.00 1.00 1.02 1.05 1.08 1.10 1.13 1.19 1.24 1.32 1.35 1.37 1.44 1.54 1.62
5 1.00 1.00 1.00 1.00 1.01 1.04 1.07 1.09 1.12 1.18 1.23 1.30 1.32 1.35 1.41 1.51 1.59
5.1 1.00 1.00 1.00 1.00 1.00 1.03 1.06 1.08 1.11 1.17 1.21 1.28 1.30 1.32 1.39 1.48 1.56
5.2 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.07 1.10 1.15 1.20 1.26 1.28 1.30 1.36 1.45 1.53
5.3 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.09 1.14 1.18 1.24 1.26 1.28 1.34 1.42 1.50
5.4 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.08 1.13 1.17 1.22 1.24 1.25 1.32 1.39 1.48
5.5 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.07 1.12 1.16 1.21 1.22 1.23 1.30 1.37 1.45
5.6 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.06 1.11 1.15 1.19 1.20 1.22 1.28 1.34 1.43
5.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.10 1.14 1.18 1.19 1.20 1.26 1.32 1.41
5.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.09 1.13 1.16 1.17 1.18 1.25 1.30 1.38
5.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.08 1.12 1.15 1.16 1.17 1.23 1.28 1.36
6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.11 1.13 1.14 1.15 1.22 1.26 1.34
6.1 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.06 1.10 1.12 1.13 1.14 1.21 1.24 1.32
6.2 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.09 1.11 1.12 1.13 1.20 1.22 1.30
6.3 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.08 1.10 1.11 1.12 1.19 1.21 1.28
6.4 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.09 1.10 1.11 1.18 1.20 1.26
6.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.08 1.09 1.10 1.17 1.18 1.25
6.6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.07 1.08 1.09 1.15 1.17 1.23
6.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.06 1.07 1.08 1.14 1.16 1.21
6.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.06 1.07 1.12 1.15 1.19
6.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.05 1.06 1.11 1.14 1.17
7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.04 1.05 1.08 1.13 1.15
A255 − 20a
TABLE 3 Distance Hardness Dividing Factors for Non-Boron Steels, mm
Ideal
Jominy End-Quench Distance (mm)
Diameter
3579 11 13 15 20 25 30 35 40 45 50
(DI), mm
25 1.13 1.62 2.11 2.62 2.82 2.96 3.15 3.52
27.5 1.11 1.54 1.99 2.50 2.70 2.84 3.01 3.37
30 1.09 1.47 1.88 2.38 2.58 2.72 2.89 3.24 3.48
32.5 1.07 1.41 1.78 2.27 2.48 2.61 2.76 3.11 3.34 3.58
35 1.06 1.35 1.69 2.17 2.37 2.51 2.65 2.99 3.20 3.43
37.5 1.05 1.30 1.61 2.07 2.28 2.41 2.54 2.88 3.08 3.28 3.52
40 1.04 1.26 1.54 1.99 2.19 2.31 2.44 2.77 2.96 3.15 3.37 3.56
42.5 1.03 1.22 1.48 1.91 2.10 2.22 2.35 2.67 2.85 3.03 3.23 3.41 3.55
45 1.02 1.19 1.42 1.83 2.02 2.14 2.26 2.57 2.75 2.92 3.10 3.27 3.41 3.54
47.5 1.02 1.16 1.37 1.76 1.95 2.06 2.17 2.48 2.66 2.81 2.98 3.14 3.28 3.41
50 1.01 1.13 1.33 1.70 1.87 1.99 2.10 2.40 2.57 2.71 2.87 3.03 3.16 3.29
52.5 1.01 1.11 1.29 1.64 1.81 1.92 2.02 2.32 2.48 2.62 2.77 2.92 3.05 3.18
55 1.00 1.10 1.26 1.58 1.75 1.85 1.95 2.24 2.40 2.54 2.68 2.82 2.95 3.07
57.5 1.00 1.08 1.23 1.53 1.69 1.79 1.89 2.17 2.33 2.46 2.60 2.73 2.85 2.97
60 1.00 1.07 1.21 1.48 1.63 1.74 1.83 2.10 2.26 2.39 2.52 2.65 2.76 2.88
62.5 1.00 1.06 1.18 1.44 1.58 1.68 1.77 2.04 2.19 2.32 2.45 2.57 2.68 2.79
65 1.00 1.05 1.16 1.40 1.54 1.63 1.72 1.98 2.13 2.26 2.38 2.50 2.60 2.70
67.5 1.00 1.04 1.15 1.36 1.49 1.59 1.67 1.92 2.08 2.20 2.32 2.43 2.53 2.62
70 1.00 1.04 1.13 1.33 1.45 1.54 1.63 1.87 2.02 2.14 2.26 2.37 2.46 2.55
72.5 1.00 1.03 1.12 1.30 1.41 1.50 1.58 1.82 1.97 2.09 2.20 2.31 2.40 2.48
75 1.00 1.03 1.11 1.27 1.38 1.46 1.54 1.77 1.92 2.04 2.15 2.25 2.34 2.41
77.5 1.00 1.03 1.10 1.24 1.35 1.43 1.51 1.72 1.87 1.99 2.10 2.20 2.28 2.35
80 1.00 1.02 1.09 1.22 1.32 1.40 1.47 1.68 1.83 1.95 2.06 2.15 2.22 2.29
82.5 1.00 1.02 1.08 1.20 1.29 1.37 1.44 1.64 1.79 1.90 2.01 2.10 2.17 2.23
85 1.00 1.02 1.07 1.18 1.26 1.34 1.41 1.60 1.75 1.86 1.97 2.05 2.12 2.17
87.5 1.00 1.02 1.07 1.16 1.24 1.31 1.38 1.57 1.71 1.82 1.92 2.01 2.07 2.12
90 1.00 1.02 1.06 1.14 1.22 1.29 1.35 1.53 1.67 1.78 1.88 1.96 2.03 2.07
92.5 1.00 1.01 1.05 1.13 1.20 1.27 1.33 1.50 1.64 1.75 1.84 1.92 1.98 2.02
95 1.00 1.01 1.05 1.11 1.18 1.24 1.31 1.47 1.60 1.71 1.81 1.88 1.94 1.98
97.5 1.00 1.01 1.04 1.10 1.16 1.22 1.28 1.44 1.57 1.67 1.77 1.84 1.90 1.93
100 1.00 1.01 1.04 1.09 1.15 1.21 1.26 1.41 1.54 1.64 1.73 1.80 1.86 1.89
102.5 1.00 1.01 1.03 1.08 1.13 1.19 1.24 1.39 1.51 1.61 1.70 1.76 1.82 1.85
105 1.00 1.01 1.03 1.07 1.12 1.17 1.23 1.36 1.48 1.58 1.66 1.73 1.78 1.81
107.5 1.00 1.00 1.02 1.06 1.11 1.16 1.21 1.34 1.46 1.55 1.63 1.69 1.74 1.77
110 1.00 1.00 1.02 1.05 1.10 1.15 1.19 1.32 1.43 1.51 1.59 1.65 1.71 1.73
112.5 1.00 1.00 1.02 1.04 1.08 1.13 1.18 1.29 1.41 1.49 1.56 1.62 1.67 1.70
115 1.00 1.00 1.01 1.04 1.07 1.12 1.16 1.27 1.38 1.46 1.53 1.59 1.64 1.67
117.5 1.00 1.00 1.01 1.03 1.07 1.11 1.15 1.26 1.36 1.43 1.50 1.55 1.61 1.63
120 1.00 1.00 1.01 1.03 1.06 1.10 1.14 1.24 1.34 1.40 1.47 1.52 1.58 1.60
122.5 1.00 1.00 1.01 1.02 1.05 1.09 1.12 1.22 1.31 1.38 1.44 1.49 1.55 1.57
125 1.00 1.00 1.00 1.02 1.04 1.08 1.11 1.21 1.29 1.35 1.41 1.46 1.52 1.54
127.5 1.00 1.00 1.00 1.01 1.04 1.07 1.10 1.19 1.27 1.33 1.39 1.43 1.49 1.52
130 1.00 1.00 1.00 1.01 1.03 1.06 1.09 1.18 1.25 1.31 1.36 1.41 1.46 1.49
132.5 1.00 1.00 1.00 1.01 1.02 1.05 1.08 1.16 1.24 1.28 1.34 1.38 1.44 1.47
135 1.00 1.00 1.00 1.01 1.02 1.04 1.07 1.15 1.22 1.26 1.32 1.36 1.42 1.44
137.5 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.14 1.20 1.24 1.30 1.34 1.39 1.42
140 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.13 1.19 1.22 1.28 1.32 1.37 1.40
142.5 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.12 1.17 1.21 1.26 1.30 1.35 1.38
145 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.11 1.16 1.19 1.24 1.28 1.33 1.36
147.5 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.10 1.14 1.17 1.23 1.26 1.32 1.34
150 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.09 1.13 1.16 1.21 1.25 1.30 1.33
152.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.08 1.12 1.15 1.20 1.23 1.29 1.31
155 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.07 1.10 1.13 1.19 1.22 1.27 1.30
157.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.06 1.09 1.12 1.18 1.21 1.26 1.28
160 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.08 1.11 1.17 1.20 1.24 1.27
162.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.07 1.10 1.16 1.19 1.23 1.26
165 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.06 1.09 1.15 1.17 1.22 1.25
167.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.08 1.14 1.16 1.21 1.24
170 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.07 1.13 1.15 1.20 1.23
172.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.06 1.12 1.14 1.18 1.22
175 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.11 1.12 1.17 1.21
177.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.10 1.10 1.15 1.20
A255 − 20a
TABLE 4 Distance Hardness Dividing Factors for Boron Steels, in.
Ideal 1
Jominy End-Quench Distance ( ⁄16 in.)
Diameter
23456789 10 12 14 16 18 20 24 28 32
(DI), in.
1.5 1.10 1.14 1.88 2.52 2.91 3.23
1.6 1.08 1.12 1.65 2.20 2.70 3.02
1.7 1.07 1.10 1.47 1.95 2.50 2.82 2.99
1.8 1.06 1.09 1.34 1.74 2.31 2.63 2.83 3.00
1.9 1.05 1.08 1.25 1.58 2.13 2.45 2.67 2.84 3.08
2 1.04 1.07 1.19 1.46 1.97 2.28 2.51 2.68 2.88 3.33
2.1 1.03 1.06 1.14 1.36 1.83 2.12 2.36 2.53 2.70 3.15 3.69
2.2 1.02 1.05 1.11 1.29 1.70 1.98 2.21 2.38 2.53 2.98 3.48 3.86
2.3 1.02 1.04 1.09 1.24 1.58 1.84 2.08 2.24 2.38 2.82 3.29 3.65
2.4 1.02 1.04 1.08 1.20 1.48 1.72 1.95 2.11 2.24 2.67 3.11 3.45 3.63
2.5 1.01 1.03 1.07 1.17 1.40 1.61 1.83 1.99 2.12 2.54 2.95 3.27 3.45 3.62 4.05
2.6 1.00 1.03 1.06 1.15 1.32 1.52 1.72 1.87 2.00 2.41 2.79 3.09 3.28 3.46 3.86 4.23
2.7 1.00 1.03 1.05 1.14 1.26 1.43 1.62 1.77 1.90 2.29 2.65 2.93 3.12 3.30 3.67 4.00
2.8 1.00 1.02 1.05 1.13 1.21 1.36 1.53 1.67 1.80 2.18 2.52 2.78 2.97 3.15 3.50 3.78 4.27
2.9 1.00 1.01 1.04 1.12 1.17 1.30 1.44 1.59 1.72 2.08 2.40 2.65 2.83 3.01 3.34 3.59 4.01
3 1.00 1.00 1.04 1.11 1.13 1.25 1.37 1.51 1.64 1.99 2.29 2.52 2.70 2.88 3.19 3.41 3.78
3.1 1.00 1.00 1.03 1.10 1.11 1.20 1.31 1.44 1.57 1.90 2.19 2.40 2.57 2.75 3.04 3.25 3.57
3.2 1.00 1.00 1.03 1.09 1.09 1.17 1.26 1.38 1.50 1.82 2.09 2.29 2.46 2.63 2.91 3.10 3.39
3.3 1.00 1.00 1.02 1.08 1.08 1.14 1.21 1.33 1.45 1.75 2.01 2.19 2.35 2.51 2.78 2.97 3.22
3.4 1.00 1.00 1.02 1.07 1.07 1.11 1.17 1.28 1.40 1.68 1.93 2.10 2.25 2.40 2.66 2.84 3.07
3.5 1.00 1.00 1.01 1.06 1.06 1.10 1.14 1.24 1.35 1.62 1.85 2.01 2.16 2.30 2.55 2.73 2.94
3.6 1.00 1.00 1.00 1.05 1.06 1.08 1.12 1.21 1.31 1.56 1.78 1.93 2.07 2.21 2.45 2.63 2.82
3.7 1.00 1.00 1.00 1.04 1.06 1.08 1.10 1.18 1.27 1.51 1.72 1.86 1.99 2.12 2.35 2.53 2.71
3.8 1.00 1.00 1.00 1.04 1.06 1.07 1.09 1.16 1.24 1.46 1.66 1.80 1.92 2.04 2.26 2.44 2.61
3.9 1.00 1.00 1.00 1.03 1.05 1.06 1.08 1.14 1.21 1.42 1.60 1.74 1.85 1.96 2.18 2.36 2.52
4 1.00 1.00 1.00 1.02 1.05 1.06 1.07 1.13 1.19 1.38 1.55 1.68 1.79 1.89 2.11 2.29 2.44
4.1 1.00 1.00 1.00 1.02 1.05 1.06 1.07 1.12 1.17 1.35 1.50 1.63 1.73 1.82 2.03 2.22 2.37
4.2 1.00 1.00 1.00 1.01 1.04 1.06 1.06 1.11 1.15 1.31 1.46 1.58 1.68 1.76 1.97 2.15 2.30
4.3 1.00 1.00 1.00 1.01 1.03 1.05 1.06 1.10 1.13 1.28 1.42 1.54 1.63 1.71 1.91 2.09 2.23
4.4 1.00 1.00 1.00 1.01 1.03 1.05 1.06 1.09 1.11 1.25 1.38 1.50 1.58 1.66 1.85 2.03 2.17
4.5 1.00 1.00 1.00 1.00 1.02 1.04 1.06 1.09 1.10 1.23 1.35 1.47 1.54 1.61 1.80 1.98 2.11
4.6 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.08 1.09 1.21 1.32 1.43 1.51 1.57 1.75 1.93 2.06
4.7 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.08 1.08 1.19 1.29 1.40 1.47 1.53 1.71 1.88 2.01
4.8 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.07 1.07 1.17 1.26 1.37 1.44 1.50 1.67 1.83 1.96
4.9 1.00 1.00 1.00 1.00 1.02 1.02 1.04 1.06 1.06 1.15 1.24 1.35 1.41 1.47 1.63 1.79 1.91
5 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.06 1.06 1.14 1.21 1.32 1.38 1.44 1.59 1.75 1.87
5.1 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.05 1.12 1.19 1.30 1.36 1.41 1.56 1.71 1.82
5.2 1.00 1.00 1.00 1.00 1.00 1.02 1.02 1.04 1.05 1.11 1.17 1.28 1.33 1.39 1.52 1.67 1.78
5.3 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.04 1.10 1.16 1.26 1.31 1.36 1.49 1.64 1.74
5.4 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.04 1.09 1.14 1.24 1.29 1.34 1.46 1.60 1.70
5.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.08 1.13 1.22 1.27 1.32 1.44 1.57 1.67
5.6 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.03 1.07 1.12 1.20 1.25 1.30 1.41 1.54 1.63
5.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.06 1.11 1.19 1.23 1.28 1.38 1.51 1.60
5.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.02 1.05 1.10 1.17 1.22 1.26 1.36 1.48 1.56
5.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.09 1.16 1.20 1.24 1.33 1.46 1.53
6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.14 1.18 1.23 1.31 1.43 1.50
6.1 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.07 1.13 1.17 1.21 1.28 1.41 1.47
6.2 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.12 1.15 1.19 1.26 1.38 1.44
6.3 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.10 1.14 1.17 1.23 1.35 1.41
6.4 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.09 1.12 1.15 1.21 1.33 1.38
6.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.11 1.13 1.18 1.30 1.35
6.6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.09 1.12 1.16 1.27 1.32
6.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.08 1.10 1.14 1.25 1.29
6.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.07 1.08 1.11 1.21 1.25
6.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.06 1.07 1.09 1.18 1.21
7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.05 1.05 1.07 1.14 1.17
A255 − 20a
TABLE 5 Distance Hardness Dividing Factors for Boron Steels, mm
Ideal
Jominy End-Quench Distance (mm)
Diameter
3579 11 13 15 20 25 30 35 40 45 50
(DI), mm
40 1.07 1.25 1.92 2.56
42.5 1.06 1.21 1.73 2.34
45 1.05 1.18 1.57 2.14 2.64
47.5 1.04 1.14 1.45 1.97 2.44
50 1.03 1.12 1.35 1.83 2.26 2.57
52.5 1.03 1.09 1.28 1.70 2.10 2.40
55 1.03 1.08 1.22 1.59 1.96 2.24 2.52
57.5 1.02 1.06 1.17 1.49 1.83 2.10 2.37
60 1.02 1.05 1.14 1.41 1.71 1.97 2.23
62.5 1.01 1.04 1.11 1.35 1.61 1.86 2.10
65 1.01 1.03 1.09 1.29 1.53 1.75 1.99 2.56
67.5 1.00 1.03 1.08 1.24 1.45 1.66 1.88 2.43
70 1.00 1.02 1.07 1.20 1.38 1.57 1.78 2.32
72.5 1.00 1.02 1.06 1.17 1.32 1.50 1.70 2.21
75 1.00 1.01 1.06 1.14 1.27 1.43 1.62 2.11 2.53
77.5 1.00 1.01 1.05 1.12 1.23 1.37 1.55 2.01 2.42 2.71
80 1.00 1.00 1.05 1.11 1.19 1.32 1.48 1.93 2.31 2.59 2.82
82.5 1.00 1.00 1.05 1.10 1.16 1.27 1.43 1.85 2.21 2.47 2.70 2.89 3.06 3.26
85 1.00 1.00 1.04 1.09 1.13 1.23 1.38 1.78 2.11 2.37 2.59 2.77 2.92 3.11
87.5 1.00 1.00 1.04 1.08 1.11 1.20 1.33 1.71 2.03 2.27 2.48 2.66 2.80 2.98
90 1.00 1.00 1.03 1.07 1.09 1.17 1.29 1.65 1.95 2.18 2.38 2.55 2.69 2.86
92.5 1.00 1.00 1.03 1.07 1.08 1.15 1.26 1.59 1.87 2.09 2.29 2.46 2.59 2.75
95 1.00 1.00 1.02 1.06 1.07 1.13 1.23 1.54 1.81 2.01 2.20 2.37 2.50 2.65
97.5 1.00 1.00 1.01 1.06 1.06 1.11 1.20 1.49 1.74 1.94 2.12 2.28 2.42 2.56
100 1.00 1.00 1.00 1.06 1.05 1.09 1.18 1.45 1.69 1.87 2.05 2.21 2.34 2.48
102.5 1.00 1.00 1.00 1.05 1.04 1.08 1.16 1.41 1.63 1.81 1.98 2.13 2.27 2.41
105 1.00 1.00 1.00 1.05 1.04 1.07 1.14 1.37 1.58 1.75 1.91 2.07 2.21 2.34
107.5 1.00 1.00 1.00 1.05 1.04 1.06 1.13 1.34 1.54 1.70 1.86 2.01 2.15 2.27
110 1.00 1.00 1.00 1.04 1.03 1.06 1.12 1.31 1.50 1.65 1.80 1.95 2.09 2.21
112.5 1.00 1.00 1.00 1.04 1.03 1.05 1.11 1.28 1.46 1.61 1.75 1.89 2.03 2.16
115 1.00 1.00 1.00 1.03 1.03 1.05 1.10 1.25 1.43 1.56 1.70 1.84 1.98 2.10
117.5 1.00 1.00 1.00 1.03 1.03 1.05 1.09 1.23 1.39 1.53 1.66 1.80 1.93 2.05
120 1.00 1.00 1.00 1.03 1.03 1.04 1.08 1.21 1.36 1.49 1.62 1.75 1.88 2.01
122.5 1.00 1.00 1.00 1.02 1.02 1.04 1.08 1.19 1.34 1.46 1.58 1.71 1.84 1.96
125 1.00 1.00 1.00 1.02 1.02 1.04 1.07 1.17 1.31 1.43 1.55 1.67 1.80 1.91
127.5 1.00 1.00 1.00 1.01 1.02 1.04 1.07 1.15 1.29 1.40 1.52 1.64 1.75 1.87
130 1.00 1.00 1.00 1.01 1.02 1.03 1.06 1.14 1.27 1.38 1.49 1.60 1.72 1.83
132.5 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.13 1.25 1.35 1.46 1.57 1.68 1.79
135 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.11 1.23 1.33 1.44 1.54 1.64 1.75
137.5 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.10 1.21 1.31 1.41 1.51 1.61 1.72
140 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.09 1.19 1.29 1.39 1.48 1.58 1.68
142.5 1.00 1.00 1.00 1.00 1.01 1.02 1.03 1.08 1.18 1.27 1.37 1.45 1.55 1.65
145 1.00 1.00 1.00 1.00 1.01 1.01 1.03 1.07 1.16 1.25 1.34 1.43 1.52 1.62
147.5 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.06 1.15 1.24 1.32 1.41 1.49 1.59
150 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.05 1.14 1.22 1.30 1.38 1.47 1.56
152.5 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.12 1.20 1.28 1.36 1.44 1.53
155 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.11 1.18 1.26 1.34 1.42 1.51
157.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.10 1.17 1.24 1.31 1.40 1.48
160 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.09 1.15 1.22 1.29 1.37 1.45
162.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.13 1.20 1.27 1.35 1.43
165 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.12 1.18 1.25 1.33 1.40
167.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.10 1.16 1.22 1.30 1.37
170 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.08 1.14 1.20 1.27 1.33
172.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.12 1.17 1.23 1.29
175 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.10 1.14 1.19 1.25
177.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.11 1.14 1.20
A255 − 20a
TABLE 6 Multiplying Factors, in.
Carbon-
%
Grain Mn Si Ni Cr Mo Cu V Zr
Alloy
Size 7
0.01 0.005 1.033 1.007 1.004 1.022 1.03 1.00 1.02 1.02
0.02 0.011 1.067 1.014 1.007 1.043 1.06 1.01 1.03 1.05
0.03 0.016 1.100 1.021 1.011 1.065 1.09 1.01 1.05 1.07
0.04 0.022 1.133 1.028 1.015 1.086 1.12 1.01 1.07 1.10
0.05 0.027 1.167 1.035 1.018 1.108 1.15 1.02 1.09 1.12
0.06 0.032 1.200 1.042 1.022 1.130 1.18 1.02 1.10 1.15
0.07 0.038 1.233 1.049 1.025 1.151 1.21 1.03 1.12 1.17
0.08 0.043 1.267 1.056 1.029 1.173 1.24 1.03 1.14 1.20
0.09 0.049 1.300 1.063 1.033 1.194 1.27 1.03 1.16 1.22
0.10 0.054 1.333 1.070 1.036 1.216 1.30 1.04 1.17 1.25
0.11 0.059 1.367 1.077 1.040 1.238 1.33 1.04 1.19 1.27
0.12 0.065 1.400 1.084 1.044 1.259 1.36 1.04 1.21 1.30
0.13 0.070 1.433 1.091 1.047 1.281 1.39 1.05 1.22 1.32
0.14 0.076 1.467 1.098 1.051 1.302 1.42 1.05 1.24 1.35
0.15 0.081 1.500 1.105 1.054 1.324 1.45 1.05 1.26 1.37
0.16 0.086 1.533 1.112 1.058 1.346 1.48 1.06 1.28 1.40
0.17 0.092 1.567 1.119 1.062 1.367 1.51 1.06 1.29 1.42
0.18 0.097 1.600 1.126 1.065 1.389 1.54 1.07 1.31 1.45
0.19 0.103 1.633 1.133 1.069 1.410 1.57 1.07 1.33 1.47
0.20 0.108 1.667 1.140 1.073 1.432 1.60 1.07 1.35 1.50
0.21 0.113 1.700 1.147 1.076 1.454 1.63 1.08 . . . 1.52
0.22 0.119 1.733 1.154 1.080 1.475 1.66 1.08 . . . 1.55
0.23 0.124 1.767 1.161 1.083 1.497 1.69 1.08 . . . 1.57
0.24 0.130 1.800 1.168 1.087 1.518 1.72 1.09 . . . 1.60
0.25 0.135 1.833 1.175 1.091 1.540 1.75 1.09 . . . 1.62
0.26 0.140 1.867 1.182 1.094 1.562 1.78 1.09 . . .
0.27 0.146 1.900 1.189 1.098 1.583 1.81 1.10 . . . . . .
0.28 0.151 1.933 1.196 1.102 1.605 1.84 1.10 . . . . . .
0.29 0.157 1.967 1.203 1.105 1.626 1.87 1.11 . . . . . .
0.30 0.162 2.000 1.210 1.109 1.648 1.90 1.11 . . . . . .
0.31 0.167 2.033 1.217 1.113 1.670 1.93 1.11 . . . . . .
0.32 0.173 2.067 1.224 1.117 1.691 1.96 1.12 . . . . . .
0.33 0.178 2.100 1.231 1.120 1.713 1.99 1.12 . . . . . .
0.34 0.184 2.133 1.238 1.123 1.734 2.02 1.12 . . . . . .
0.35 0.189 2.167 1.245 1.127 1.756 2.05 1.13 . . . . . .
0.36 0.194 2.200 1.252 1.131 1.778 2.08 1.13 . . . . . .
0.37 0.200 2.233 1.259 1.134 1.799 2.11 1.14 . . . . . .
0.38 0.205 2.267 1.266 1.138 1.821 2.14 1.14 . . . . . .
0.39 0.211 2.300 1.273 1.142 1.842 2.17 1.14 . . . . . .
0.40 0.214 2.333 1.280 1.145 1.864 2.20 1.15 . . . . . .
0.41 0.216 2.367 1.287 1.149 1.886 2.23 1.15 . . . . . .
0.42 0.218 2.400 1.294 1.152 1.907 2.26 1.15 . . . . . .
0.43 0.220 2.433 1.301 1.156 1.929 2.29 1.16 . . . . . .
0.44 0.223 2.467 1.308 1.160 1.950 2.32 1.16 . . . . . .
0.45 0.225 2.500 1.315 1.163 1.972 2.35 1.16 . . . . . .
0.46 0.228 2.533 1.322 1.167 1.994 2.38 1.17 . . . . . .
0.47 0.230 2.567 1.329 1.171 2.015 2.41 1.17 . . . . . .
0.48 0.233 2.600 1.336 1.174 2.037 2.44 1.18 . . . . . .
0.49 0.235 2.633 1.343 1.178 2.058 2.47 1.18 . . . . . .
0.50 0.238 2.667 1.350 1.182 2.080 2.50 1.18 . . . . . .
0.51 0.240 2.700 1.357 1.185 2.102 2.53 1.19 . . . . . .
0.52 0.243 2.733 1.364 1.189 2.123 2.56 1.19 . . . . . .
0.53 0.246 2.767 1.371 1.192 2.145 2.59 1.19 . . . . . .
0.54 0.249 2.800 1.378 1.196 2.166 2.62 1.20 . . . . . .
0.55 0.252 2.833 1.385 1.200 2.188 2.65 1.20 . . . . . .
0.56 0.253 2.867 1.392 1.203 2.210 . . . . . . . . . . . .
0.57 0.255 2.900 1.399 1.207 2.231 . . . . . . . . . . . .
0.58 0.258 2.933 1.406 1.211 2.253 . . . . . . . . . . . .
0.59 0.260 2.967 1.413 1.214 2.274 . . . . . . . . . . . .
0.60 0.262 3.000 1.420 1.218 2.296 . . . . . . . . . . . .
0.61 0.264 3.033 1.427 1.221 2.318 . . . . . . . . . . . .
0.62 0.267 3.067 1.434 1.225 2.339 . . . . . . . . . . . .
A255 − 20a
TABLE 6 Continued
Carbon-
%
Grain Mn Si Ni Cr Mo Cu V Zr
Alloy
Size 7
0.63 0.269 3.100 1.441 1.229 2.361 . . . . . . . . .
...
This document is not an ASTM standard and is intended only to provide the user of an ASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation: A255 − 20 A255 − 20a
Standard Test Methods for
Determining Hardenability of Steel
This standard is issued under the fixed designation A255; 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 (´) indicates an editorial change since the last revision or reapproval.
This standard has been approved for use by agencies of the U.S. Department of Defense.
1. Scope*
1.1 These test methods cover the identification and description of test methods for determining the hardenability of steels. The two
test methods include the quantitative end-quench or Jominy Test and a method for calculating the hardenability of steel from the
chemical composition based on the original work by M. A. Grossman.
1.2 The selection of the test method to be used for determining the hardenability of a given steel shall be agreed upon between
the supplier and user. The Certified Material Test Report shall state the method of hardenability determination.
1.3 The calculation method described in these test methods is applicable only to the range of chemical compositions that follow:
Element Range, %
Carbon 0.10–0.70
Manganese 0.50–1.65
Silicon 0.15–0.60
Nickel 1.50 max
Chromium 1.35 max
Molybdenum 0.55 max
Copper 0.35 max
Vanadium 0.20 max
1.4 Hardenability is a measure of the depth to which steel will harden when quenched from its austenitizing temperature (Table
1). It is measured quantitatively, usually by noting the extent or depth of hardening of a standard size and shape of test specimen
in a standardized quench. In the end-quench test the depth of hardening is the distance along the specimen from the quenched end
which correlates to a given hardness level.
1.5 The values stated in inch-pound units are to be regarded as standard. The values given in parentheses are mathematical
conversions to SI units that are provided for information only and are not considered standard.
1.6 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 appropriate safety, health, and environmental practices and determine the applicability of
regulatory limitations prior to use.
1.7 This international standard was developed in accordance with internationally recognized principles on standardization
established in the Decision on Principles for the Development of International Standards, Guides and Recommendations issued
by the World Trade Organization Technical Barriers to Trade (TBT) Committee.
These test methods are under the jurisdiction of ASTM Committee A01 on Steel, Stainless Steel and Related Alloys and are the direct responsibility of Subcommittee
A01.15 on Bars.
Current edition approved July 1, 2020Nov. 1, 2020. Published July 2020November 2020. Originally approved in 1942. Last previous edition approved in 20182020 as
A255–10 (2018). –20. DOI: 10.1520/A0255-20.10.1520/A0255-20A.
*A Summary of Changes section appears at the end of this standard
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959. United States
A255 − 20a
A
TABLE 1 Normalizing and Austenitizing Temperatures
Normalizing Austenitizing
Steel Series Ordered Carbon Temperature, Temperature,
Content, max, % °F (°C) °F (°C)
1000, 1300, 1500, 0.25 and under 1700 (925) 1700 (925)
3100, 4000, 4100
4300, 4400, 4500, 0.26 to 0.36, incl 1650 (900) 1600 (870)
4600, 4700, 5000,
B
5100, 6100, 8100,
8600, 8700, 8800,
0.37 and over 1600 (870) 1550 (845)
9400, 9700, 9800
0.25 and under 1700 (925) 1550 (845)
2300, 2500, 3300,
0.26 to 0.36, incl 1650 (900) 1500 (815)
4800, 9300
0.37 and over 1600 (870) 1475 (800)
9200 0.50 and over 1650 (900) 1600 (870)
A
A variation of ±10 °F (6 °C) from the temperatures in this table is permissible.
B
Normalizing and austenitizing temperatures are 50 °F (30 °C) higher for the 6100
series.
2. Referenced Documents
2.1 ASTM Standards:
E18 Test Methods for Rockwell Hardness of Metallic Materials
E112 Test Methods for Determining Average Grain Size
2.2 ASTM Adjunct:
ASTM Hardenability Chart
END-QUENCH OR JOMINY TEST
3. Description
3.1 This test method covers the procedure for determining the hardenability of steel by the end-quench or Jominy test. The test
consists of water quenching one end of a cylindrical test specimen 1.0 in. in diameter and measuring the hardening response as
a function of the distance from the quenched end.
4. Apparatus
4.1 Support for Test Specimen—A fixture for supporting the test specimen vertically so that the lower end of the specimen is a
distance of 0.5 in. (12.7 mm) above the orifice of the water-quenching device. A satisfactory type of support for the standard 1.0
in. (25.4 mm) specimen is shown in Fig. 1.
NOTE 1—A suitable support for other sizes and shapes of specimens is shown in Fig. X1.1.
4.2 Water-Quenching Device—A water-quenching device of suitable capacity to provide a vertical stream of water that can be
controlled to a height of 2.5 in. (63.5 mm) when passing through an orifice 0.5 in. (12.7 mm) in diameter. A tank of sufficient
capacity to maintain the water temperature requirements of 6.3 with a small pump and control valves will be found satisfactory.
The water-supply line shall also be provided with a quick opening valve.
5. Test Specimens
5.1 Wrought Specimens—End-quench specimens shall be prepared from rolled or forged stock and shall represent the full cross
section of the product. If negotiated between the supplier and the user, the end-quench specimen may be prepared from a given
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.
A255 − 20a
FIG. 1 Test Specimen in Support for Water Quenching
location in a forged or rolled product or from a continuous cast billet. The test specimen shall be 1.0 in. (25.4 mm) in diameter
by 4.0 in. (101.6 mm) in length, with means for hanging it in a vertical position for end quenching. Dimensions of the preferred
specimen and of an optional specimen (Note 2) are given in Figs. 2 and 3. The specimen shall be machined from a bar previously
normalized in accordance with 6.1 and of such size as to permit the removal of all decarburization in machining to 1.0 in. round.
The end of the specimen to be water cooled shall have a reasonably smooth finish, preferably produced by grinding. Normalizing
may be waived by agreement between the supplier and the user. The previous thermal history of the specimen tested shall always
be recorded.
5.2 Cast Specimens—A separately cast end-quench specimen may be used for non-boron steels. Cast specimens are not suitable
for boron steel grades due to erratic results. A graphite or metal mold may be used to form an overlength specimen 1.0 in. (25.4
mm) in diameter which shall be cut to the standard specimen size. The mold may also be used to form a 1.25 in. (31.8 mm)
diameter specimen which shall be machined to the final specimen size. Cast tests need not be normalized.
NOTE 2—Other sizes and shapes of test specimens are described in Appendix X1.
6. Procedure
6.1 Normalizing—The wrought product from which the specimen is to be prepared shall be normalized to ensure proper hardening
characteristics. The sample shall be held at the temperature listed in Table 1 for 1 h and cooled in air. Tempering of the normalized
sample to improve machinability is permitted.
FIG. 2 Preferred Test Specimen
A255 − 20a
FIG. 3 Optional Test Specimen
6.2 Heating—Place the specimen in a furnace that is at the specified austenitizing temperature (Table 1) and hold at this
temperature for 30 min. In production testing slightly longer times up to 35 min may be used without appreciably affecting results.
It is important to heat the specimen in such an atmosphere that practically no scaling and a minimum of decarburization takes place.
This may be accomplished by heating the specimen in a vertical position in a container with an easily removable cover containing
a layer of cast-iron chips with the bottom face of the specimen resting on the chips.
6.2.1 Other methods consist of placing the specimen in an appropriately sized hole in a graphite block or placing the specimen
in an upright tube attached to a flat base, both of a heat-resistant metal, with the collar projecting for a tong hold. Place a disk of
graphite or carbon, or a layer of carbonaceous material such as charcoal, in the bottom of the tube to prevent scaling.
6.2.2 For a particular fixture and furnace, determine the time required to heat the specimen to the austenitizing temperature by
inserting a thermocouple into a hole drilled axially in the top of the specimen. Repeat this procedure periodically, for example once
a month, for each combination of fixture and furnace.
6.3 Quenching—Adjust the water-quenching device so that the stream of water rises to a free height of 2.5 in. (63.5 mm) above
the 0.5 in. (12.7 mm) orifice, without the specimen in position. The support for the specimen shall be dry at the beginning of each
test. Then place the heated specimen in the support so that its bottom face is 0.5 in. above the orifice, and turn on the water by
means of the quick-opening valve. The time between removal of the specimen from the furnace and the beginning of the quench
should not be more than 5 s. Direct the stream of water, at a temperature of 40 °F to 85 °F (5 °C to 30 °C), against the bottom face
of the specimen for not less than 10 min. Maintain a condition of still air around the specimen during cooling. If the specimen is
not cold when removed from the fixture, immediately quench it in water.
6.4 Hardness Measurement—Two flats 180° apart shall be ground to a minimum depth of 0.015 in. (0.38 mm) along the entire
length of the bar and Rockwell C hardness measurements made along the length of the bar. Shallower ground depths can affect
reproducibility of results, and correlation with cooling rates in quenched bars.
A255 − 20a
6.4.1 The preparation of the two flats must be carried out with considerable care. They should be mutually parallel and the grinding
done in such a manner that no change of the quenched structure takes place. Very light cuts with water cooling and a coarse,
soft-grinding wheel are recommended to avoid heating the specimen. In order to detect tempering due to grinding, the flat may
be etched with one of the following etchant solutions:
NOTE 3—5 % nitric acid (concentrated) and 95 % water by volume.
NOTE 4—50 % hydrochloric acid (concentrated) and 50 % water by volume.
Wash the sample in hot water. Etch in solution No. 1 until black. Wash in hot water. Immerse in solution No. 2 for 3 s and wash
in hot water. Dry in air blast.
6.4.1.1 The presence of lighter or darker areas indicates that hardness and structure have been altered in grinding. If such changes
caused by grinding are indicated, new flats may be prepared.
6.4.2 When hardness tests are made, the test specimen rests on one of its flats on an anvil firmly attached to the hardness machine.
It is important that no vertical movement be allowed when the major load is applied. The anvil must be constructed to move the
test specimen past the penetrator in accurate steps of ⁄16 in. (1.5 mm). Resting the specimen in a V-block is not permitted.
6.4.2.1 The Rockwell tester should periodically be checked against standard test blocks. It is recommended that a test block be
interposed between the specimen and the indenter to check the seating of the indenter and the specimen simultaneously. For general
statements regarding the use of test blocks and surface conditions, reference should be made to 4.7 and 5.2, respectively, of Test
Methods E18.
6.4.3 Exercise care in registering the point of the indenter in relationship to the quenched end of the specimen as well as providing
for accurate spacing between indentations. A low-power measuring microscope is suitable for use in determining the distance from
the quenched end to the center of the first impression and in checking the distance from center to center of the succeeding
impressions. It has been found that with reasonable operating care and a well-built fixture, it is practical to locate the center of the
first impression 0.0625 in. 6 0.004 in. (1.5 mm 6 0.10 mm) from the quenched end. The variations between spacings should be
even smaller. Obviously, it is more important to position the indenter accurately when testing low-hardenability steels than when
testing high-hardenability steels. The positioning of the indenter should be checked with sufficient frequency to provide assurance
that accuracy requirements are being met. In cases of lack of reproducibility or of differences between laboratories, indenter
spacing should be measured immediately.
6.4.4 Readings shall be taken in steps of ⁄16 in. (1.6 mm) for the first 16 sixteenths (25.4 mm), then 18, 20, 22, 24, 28, and 32
sixteenths of an inch. Values below 20 HRC are not recorded because such values are not accurate. When a flat on which readings
have been made is used as a base, the burrs around the indentation shall be removed by grinding unless a fixture is used which
has been relieved to accommodate the irregularities due to the indentations.
6.4.4.1 Hardness readings should preferably be made on two flats 180° apart. Testing on two flats will assist in the detection of
errors in specimen preparation and hardness measurement. If the two probes on opposite sides differ by more than 4 HRC points
at any one position, the test should be repeated on new flats, 90° from the first two flats. If the retest also has greater than 4 HRC
points spread, a new specimen should be tested.
6.4.4.2 For reporting purposes, hardness readings should be recorded to the nearest integer, with 0.5 HRC values rounded to the
next higher integer.
7. Plotting Test Results
7.1 Test results should be plotted on a standard hardenability chart prepared for this purpose, in which the ordinates represent HRC
values and the abscissae represent the distance from the quenched end of the specimen at which the hardness determinations were
made. When hardness readings are taken on two or more flats, the values at the same distance should be averaged and that value
used for plotting. A facsimile of the standard ASTM hardenability chart on which typical hardenability curves have been plotted
is shown in Fig. 4.
A255 − 20a
FIG. 4 Facsimile of Standard ASTM Hardenability Chart, Showing Typical Hardenability Curves
[Chart Size: 8 ⁄2 in. by 11 in. (216 mm by 279 mm)]
8. Index of Hardenability
8.1 The hardenability of a steel can be designated by a specific HRC hardness value or HRC hardness value range at a given
4 7
Jominy (“J”) distance. Examples of this method are J ⁄16 in. (6.4 mm) = 47 HRC min, J ⁄16 in. (11.1 mm) = 50 HRC max, and
J ⁄16 in. (7.9 mm) = 38–49 HRC.
9. Report
9.1 Report the following information that may be recorded on the ASTM hardenability chart:
9.1.1 Previous thermal history of the specimen tested, including the temperature of normalizing and austenitizing,
9.1.2 Chemical Composition,
9.1.3 ASTM grain size (McQuaid-Ehn) as determined by Test Methods E112, unless otherwise indicated, and
9.1.4 A prominent notation on the standard hardenability chart if any of the test specimens listed in Appendix X1 are used.
A255 − 20a
CALCULATION OF HARDENABILITY
10. Introduction
10.1 This method of Jominy Hardenability calculation from the chemical ideal diameter (DI) on a steel is based on the original
work of M. A. Grossman and provides increased accuracy by refinement of the carbon multiplying factors and the correlation of
a boron factor (B.F.) with carbon and alloy content. These refinements were based on analysis of thousands of heats of boron and
non-boron 1500, 4100, 5000, and 8600 series steels encompassing a range of compositions as follows and a range of DI as
contained in Tables 2-5. The accuracy of this test method and the techniques used to develop it have been documented. For
comparison of this test method to others, or for steel compositions outside the mentioned grades, the user should refer to other
articles concerned with calculating hardenability.
Element Range, %
Carbon 0.10–0.70
Manganese 0.50–1.65
Silicon 0.15–0.60
Nickel 1.50 max
Chromium 1.35 max
Molybdenum 0.55 max
Copper 0.35 max
Vanadium 0.20 max
10.1.1 Calculated DI and Jominy hardenability curves are valid only within the chemical ranges stated above. However, to
facilitate melting process control for higher alloy steels, Hardenability Multiplying Factors have been included for calculating the
DI within the following chemical composition ranges:
Element Range, %
Carbon 0.01–0.90
Manganese 0.01–1.95
Silicon 0.01–2.00
Nickel 0.01–3.50
Chromium 0.01–2.50
Molybdenum 0.01–0.55
Copper 0.01–0.55
Vanadium 0.01–0.20
Zirconium 0.01–0.25
10.2 Tables 2-18 are to be used to calculate hardenability from the chemical ideal diameter for the grades shown in 10.1.
Hardenability results are to be reported for the first 10 sixteenth (16 mm), the 12, 14, 16, 18, 20, 24, 28, and 32 sixteenths of an
inch.
NOTE 5—The reporting of hardenability using the calculated method differs from the procedure as shown in 6.4.4.
10.3 DI Calculation for Non-Boron Steels—This calculation relies on a series of hardenability factors (Table 6) for each alloying
element in the composition which, when multiplied together, gives a DI value. (For simplicity, only multiplying factors for DI in
inch-pound units are given. For DI in millimetres, use the metric value table.) The effects of phosphorous and sulfur are not
considered since they tend to cancel one another. A No. 7 austenitic grain size is assumed since most steels with hardenability
control are melted to a fine-grain practice where experience has demonstrated that a high percentage of heats conform to this grain
size. An example DI calculation is given as follows for an SAE 4118 modified steel:
Element % Multiplying Factor
Carbon 0.22 0.119
Manganese 0.80 3.667
Silicon 0.18 1.126
Nickel 0.10 1.036
Chromium 0.43 1.929
Molybdenum 0.25 1.75
Copper 0.10 1.04
Vanadium 0.05 1.09
A255 − 20a
where:
DI = 0.119 × 3.667 × 1.126 × 1.036 × 1.929 × 1.75 × 1.04 × 1.09 = 1.95 in.
10.4 DI Calculation for Boron Steels—With an effective steel making process, the boron factor (signifying the contribution for
boron to increased hardenability) is an inverse function of the carbon and alloy content. The higher the carbon or alloy content,
or both, the lower the boron factor.
10.4.1 The actual boron factor is expressed by the following relationship:
measured DI ~from Jominy data and carbon content!
B.F.5 (1)
calculated DI from composition excluding boron
~ !
10.4.2 An example of actual boron factor determination is given as follows for an SAE 15B30 modified steel:
Calculated
DI
Composition, (boron
% C Mn Si Ni Cr Mo Cu B excluded)
0.29 1.25 0.20 0.13 0.07 0.03 0.24 0.0015 1.35
in.
End-Quench Test Results, in.
“J” Position ( ⁄8 in.) 1 2 3 4 5 6 7
Hardness, HRC 50 50 49 48 47 45 41
“J” Position ( ⁄8 in.) 8 9 10 12 14 16
Hardness, HRC 38 33 28 25 22 20
10.4.3 Using Table 7, determine the nearest location on the end-quench curve where hardness corresponding to 50 % martensite
occurs for the actual carbon content. For the example heat with 0.29 carbon, this hardness is 37 HRC occurring at a “J” distance
of ⁄16 in. from the quenched end (interpolation required).
10.4.4 From Table 8 (in.), a “J” distance of ⁄16 in. equates to a measured DI of 2.97 in. (interpolation required).
2.97 in.
Boron Factor 5 5 2.2 boron factor (2)
1.35 in.
10.4.5 Calculation of DI with Boron (DI ):
B
10.4.5.1 Calculate the DI without boron. For the example in 10.4.4, this DI is 1.35 in.
10.4.5.2 Calculate the alloy factor (the product of all the multiplying factors from Table 6 excluding carbon). For the example in
10.4.4:
Calculated DI ~without boron! 1.35 in.
Alloy Factor 5 5 5 8.6 (3)
Carbon multiplying factor 0.157 in.
10.4.5.3 Determine the boron multiplying factor from Table 10. For this example with 0.29 % carbon and an alloy factor of 8.6,
the boron multiplying factor is 2.31 (interpolation required).
10.4.6 Calculate the DI with boron as follows:
where:
DI = DI (without boron) × boron factor
B
DI = 1.35 in. × 2.31
B
DI = 3.12 in.
B
10.5 Hardenability Curves from Composition—With a predetermined DI (DI for boron steel), the end-quench hardenability curve
B
can be computed by the following procedure:
A255 − 20a
10.5.1 The initial hardness (IH) at the J = ⁄16 in. position is a function of carbon content and independent of hardenability and
is selected from Table 7. For the example non-boron SAE 4118 modified heat containing 0.22 % carbon, the initial hardness is 45
HRC.
10.5.2 The hardness at other positions along the end-quench specimen (termed distance hardness) is determined by dividing the
initial hardness by the appropriate factor from Table 2 (in.) or Table 3 (mm) for non-boron steels or from Table 4 (in.) or Table
5 (mm) for boron steels.
10.6 For the example non-boron heat with an IH = 45 HRC and a calculated DI of 1.95 in., the hardness at the respective
end-quench positions can be calculated by dividing 45 by the appropriate dividing factor listed in Table 2 (in.) for non-boron steels.
(For simplicity, the DI should be rounded to the nearest 0.1 in.).
10.7 Distance Dividing Hardness Factors in Tables 2-5 are calculated from the equations in Tables 15-18. Multiplying Factors in
Table 6 are calculated from the equations in Table 11. Jominy Distance for 50 % Martensite versus DI in Tables 8 and 9 are
calculated from the equations in Table 13. Boron Factor versus % Carbon and Alloy Factor in Table 10 are calculated from the
equations in Table 14. Equations representing a least squares polynomial fit of the data contained in Table 7 is listed in Table 12.
The use of these equations to plot curves may result in random inflection points due to the characteristics of polynomial equations.
These inflections will be minor, however, and should be disregarded.
11. Keywords
11.1 end-quench hardenability; hardenability
A255 − 20a
TABLE 2 Distance Hardness Dividing Factors for Non-Boron Steels, in.
Ideal
Jominy End-Quench Distance ( ⁄16 in.)
Diameter
2 3 4 5 6 7 8 9 10 12 14 16 18 20 24 28 32
(DI), in.
1 1.15 1.50 2.14 2.46 2.72 2.81 2.92 3.07 3.22 3.49
1.1 1.12 1.42 1.99 2.32 2.60 2.70 2.80 2.94 3.07 3.34
1.2 1.10 1.35 1.85 2.20 2.48 2.59 2.69 2.81 2.94 3.20 3.32 3.44
1.3 1.08 1.29 1.74 2.09 2.38 2.48 2.58 2.69 2.81 3.07 3.19 3.30 3.53
1.4 1.07 1.24 1.64 1.99 2.27 2.38 2.47 2.58 2.69 2.95 3.06 3.17 3.37 3.50 3.79
1.5 1.05 1.19 1.56 1.89 2.18 2.28 2.37 2.47 2.58 2.83 2.94 3.05 3.22 3.35 3.61
1.6 1.04 1.16 1.49 1.81 2.09 2.19 2.28 2.37 2.47 2.73 2.83 2.94 3.09 3.21 3.45 3.67 3.77
1.7 1.03 1.13 1.43 1.73 2.00 2.10 2.19 2.28 2.38 2.62 2.73 2.83 2.96 3.07 3.30 3.51 3.63
1.8 1.02 1.11 1.37 1.66 1.92 2.02 2.11 2.19 2.29 2.53 2.63 2.73 2.85 2.95 3.17 3.37 3.49
1.9 1.02 1.09 1.33 1.60 1.85 1.94 2.03 2.11 2.20 2.44 2.54 2.64 2.74 2.84 3.04 3.24 3.36
2 1.01 1.08 1.29 1.54 1.78 1.87 1.95 2.03 2.12 2.35 2.45 2.55 2.65 2.74 2.93 3.12 3.24
2.1 1.01 1.07 1.26 1.48 1.72 1.80 1.89 1.96 2.05 2.27 2.37 2.47 2.56 2.65 2.83 3.00 3.13
2.2 1.00 1.07 1.23 1.44 1.65 1.74 1.82 1.90 1.98 2.20 2.30 2.39 2.47 2.56 2.74 2.90 3.03
2.3 1.00 1.06 1.21 1.39 1.60 1.68 1.76 1.83 1.91 2.13 2.22 2.32 2.40 2.48 2.65 2.81 2.93
2.4 1.00 1.06 1.18 1.35 1.55 1.62 1.70 1.77 1.85 2.06 2.16 2.25 2.32 2.41 2.57 2.72 2.84
2.5 1.00 1.05 1.17 1.32 1.50 1.57 1.65 1.72 1.80 2.00 2.09 2.19 2.26 2.34 2.50 2.64 2.76
2.6 1.00 1.05 1.15 1.29 1.45 1.52 1.60 1.67 1.74 1.94 2.03 2.13 2.19 2.27 2.43 2.57 2.68
2.7 1.00 1.04 1.13 1.26 1.41 1.48 1.56 1.62 1.69 1.88 1.97 2.07 2.14 2.21 2.37 2.50 2.61
2.8 1.00 1.04 1.12 1.23 1.37 1.44 1.52 1.58 1.65 1.83 1.92 2.02 2.08 2.16 2.31 2.43 2.54
2.9 1.00 1.03 1.11 1.21 1.34 1.40 1.48 1.54 1.61 1.78 1.87 1.97 2.03 2.10 2.25 2.37 2.48
3 1.00 1.02 1.10 1.19 1.31 1.37 1.44 1.50 1.56 1.73 1.82 1.92 1.98 2.05 2.20 2.31 2.41
3.1 1.00 1.01 1.09 1.17 1.28 1.34 1.41 1.47 1.53 1.68 1.77 1.87 1.94 2.01 2.15 2.26 2.36
3.2 1.00 1.00 1.08 1.15 1.25 1.31 1.38 1.43 1.49 1.64 1.73 1.83 1.89 1.96 2.10 2.21 2.30
3.3 1.00 1.00 1.07 1.13 1.23 1.28 1.35 1.40 1.46 1.60 1.69 1.79 1.85 1.92 2.05 2.16 2.25
3.4 1.00 1.00 1.06 1.12 1.20 1.26 1.32 1.37 1.43 1.56 1.65 1.75 1.81 1.87 2.01 2.11 2.20
3.5 1.00 1.00 1.05 1.10 1.18 1.24 1.30 1.35 1.40 1.53 1.61 1.71 1.77 1.83 1.96 2.07 2.15
3.6 1.00 1.00 1.05 1.09 1.17 1.22 1.28 1.32 1.37 1.49 1.58 1.68 1.73 1.79 1.92 2.02 2.10
3.7 1.00 1.00 1.04 1.08 1.15 1.20 1.26 1.30 1.35 1.46 1.54 1.64 1.70 1.76 1.87 1.98 2.06
3.8 1.00 1.00 1.04 1.07 1.14 1.18 1.24 1.28 1.32 1.43 1.51 1.61 1.66 1.72 1.83 1.94 2.01
3.9 1.00 1.00 1.03 1.06 1.12 1.17 1.22 1.25 1.30 1.40 1.48 1.58 1.63 1.68 1.79 1.90 1.97
4 1.00 1.00 1.02 1.05 1.11 1.15 1.20 1.24 1.28 1.37 1.45 1.55 1.60 1.65 1.75 1.86 1.93
4.1 1.00 1.00 1.01 1.04 1.10 1.14 1.18 1.22 1.26 1.35 1.42 1.52 1.57 1.62 1.71 1.82 1.89
4.2 1.00 1.00 1.00 1.03 1.09 1.13 1.17 1.20 1.24 1.32 1.39 1.49 1.54 1.58 1.68 1.78 1.85
4.3 1.00 1.00 1.00 1.02 1.08 1.12 1.15 1.18 1.22 1.30 1.37 1.46 1.51 1.55 1.64 1.75 1.82
4.4 1.00 1.00 1.00 1.01 1.07 1.10 1.14 1.17 1.21 1.28 1.35 1.44 1.48 1.52 1.60 1.71 1.78
4.5 1.00 1.00 1.00 1.00 1.06 1.09 1.13 1.15 1.19 1.26 1.32 1.41 1.45 1.49 1.57 1.67 1.75
4.6 1.00 1.00 1.00 1.00 1.05 1.08 1.11 1.14 1.18 1.24 1.30 1.39 1.42 1.46 1.54 1.64 1.71
4.7 1.00 1.00 1.00 1.00 1.04 1.07 1.10 1.13 1.16 1.22 1.28 1.36 1.40 1.43 1.50 1.60 1.68
4.8 1.00 1.00 1.00 1.00 1.03 1.06 1.09 1.11 1.15 1.21 1.26 1.34 1.37 1.40 1.47 1.57 1.65
4.9 1.00 1.00 1.00 1.00 1.02 1.05 1.08 1.10 1.13 1.19 1.24 1.32 1.35 1.37 1.44 1.54 1.62
5 1.00 1.00 1.00 1.00 1.01 1.04 1.07 1.09 1.12 1.18 1.23 1.30 1.32 1.35 1.41 1.51 1.59
5.1 1.00 1.00 1.00 1.00 1.00 1.03 1.06 1.08 1.11 1.17 1.21 1.28 1.30 1.32 1.39 1.48 1.56
5.2 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.07 1.10 1.15 1.20 1.26 1.28 1.30 1.36 1.45 1.53
5.3 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.09 1.14 1.18 1.24 1.26 1.28 1.34 1.42 1.50
5.4 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.08 1.13 1.17 1.22 1.24 1.25 1.32 1.39 1.48
5.5 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.07 1.12 1.16 1.21 1.22 1.23 1.30 1.37 1.45
5.6 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.06 1.11 1.15 1.19 1.20 1.22 1.28 1.34 1.43
5.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.10 1.14 1.18 1.19 1.20 1.26 1.32 1.41
5.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.09 1.13 1.16 1.17 1.18 1.25 1.30 1.38
5.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.08 1.12 1.15 1.16 1.17 1.23 1.28 1.36
6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.11 1.13 1.14 1.15 1.22 1.26 1.34
6.1 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.06 1.10 1.12 1.13 1.14 1.21 1.24 1.32
6.2 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.09 1.11 1.12 1.13 1.20 1.22 1.30
6.3 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.08 1.10 1.11 1.12 1.19 1.21 1.28
6.4 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.09 1.10 1.11 1.18 1.20 1.26
6.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.08 1.09 1.10 1.17 1.18 1.25
6.6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.07 1.08 1.09 1.15 1.17 1.23
6.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.06 1.07 1.08 1.14 1.16 1.21
6.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.06 1.07 1.12 1.15 1.19
6.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.05 1.06 1.11 1.14 1.17
7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.04 1.05 1.08 1.13 1.15
A255 − 20a
TABLE 3 Distance Hardness Dividing Factors for Non-Boron Steels, mm
Ideal
Jominy End-Quench Distance (mm)
Diameter
3 5 7 9 11 13 15 20 25 30 35 40 45 50
(DI), mm
25 1.13 1.62 2.11 2.62 2.82 2.96 3.15 3.52
27.5 1.11 1.54 1.99 2.50 2.70 2.84 3.01 3.37
30 1.09 1.47 1.88 2.38 2.58 2.72 2.89 3.24 3.48
32.5 1.07 1.41 1.78 2.27 2.48 2.61 2.76 3.11 3.34 3.58
35 1.06 1.35 1.69 2.17 2.37 2.51 2.65 2.99 3.20 3.43
37.5 1.05 1.30 1.61 2.07 2.28 2.41 2.54 2.88 3.08 3.28 3.52
40 1.04 1.26 1.54 1.99 2.19 2.31 2.44 2.77 2.96 3.15 3.37 3.56
42.5 1.03 1.22 1.48 1.91 2.10 2.22 2.35 2.67 2.85 3.03 3.23 3.41 3.55
45 1.02 1.19 1.42 1.83 2.02 2.14 2.26 2.57 2.75 2.92 3.10 3.27 3.41 3.54
47.5 1.02 1.16 1.37 1.76 1.95 2.06 2.17 2.48 2.66 2.81 2.98 3.14 3.28 3.41
50 1.01 1.13 1.33 1.70 1.87 1.99 2.10 2.40 2.57 2.71 2.87 3.03 3.16 3.29
52.5 1.01 1.11 1.29 1.64 1.81 1.92 2.02 2.32 2.48 2.62 2.77 2.92 3.05 3.18
55 1.00 1.10 1.26 1.58 1.75 1.85 1.95 2.24 2.40 2.54 2.68 2.82 2.95 3.07
57.5 1.00 1.08 1.23 1.53 1.69 1.79 1.89 2.17 2.33 2.46 2.60 2.73 2.85 2.97
60 1.00 1.07 1.21 1.48 1.63 1.74 1.83 2.10 2.26 2.39 2.52 2.65 2.76 2.88
62.5 1.00 1.06 1.18 1.44 1.58 1.68 1.77 2.04 2.19 2.32 2.45 2.57 2.68 2.79
65 1.00 1.05 1.16 1.40 1.54 1.63 1.72 1.98 2.13 2.26 2.38 2.50 2.60 2.70
67.5 1.00 1.04 1.15 1.36 1.49 1.59 1.67 1.92 2.08 2.20 2.32 2.43 2.53 2.62
70 1.00 1.04 1.13 1.33 1.45 1.54 1.63 1.87 2.02 2.14 2.26 2.37 2.46 2.55
72.5 1.00 1.03 1.12 1.30 1.41 1.50 1.58 1.82 1.97 2.09 2.20 2.31 2.40 2.48
75 1.00 1.03 1.11 1.27 1.38 1.46 1.54 1.77 1.92 2.04 2.15 2.25 2.34 2.41
77.5 1.00 1.03 1.10 1.24 1.35 1.43 1.51 1.72 1.87 1.99 2.10 2.20 2.28 2.35
80 1.00 1.02 1.09 1.22 1.32 1.40 1.47 1.68 1.83 1.95 2.06 2.15 2.22 2.29
82.5 1.00 1.02 1.08 1.20 1.29 1.37 1.44 1.64 1.79 1.90 2.01 2.10 2.17 2.23
85 1.00 1.02 1.07 1.18 1.26 1.34 1.41 1.60 1.75 1.86 1.97 2.05 2.12 2.17
87.5 1.00 1.02 1.07 1.16 1.24 1.31 1.38 1.57 1.71 1.82 1.92 2.01 2.07 2.12
90 1.00 1.02 1.06 1.14 1.22 1.29 1.35 1.53 1.67 1.78 1.88 1.96 2.03 2.07
92.5 1.00 1.01 1.05 1.13 1.20 1.27 1.33 1.50 1.64 1.75 1.84 1.92 1.98 2.02
95 1.00 1.01 1.05 1.11 1.18 1.24 1.31 1.47 1.60 1.71 1.81 1.88 1.94 1.98
97.5 1.00 1.01 1.04 1.10 1.16 1.22 1.28 1.44 1.57 1.67 1.77 1.84 1.90 1.93
100 1.00 1.01 1.04 1.09 1.15 1.21 1.26 1.41 1.54 1.64 1.73 1.80 1.86 1.89
102.5 1.00 1.01 1.03 1.08 1.13 1.19 1.24 1.39 1.51 1.61 1.70 1.76 1.82 1.85
105 1.00 1.01 1.03 1.07 1.12 1.17 1.23 1.36 1.48 1.58 1.66 1.73 1.78 1.81
107.5 1.00 1.00 1.02 1.06 1.11 1.16 1.21 1.34 1.46 1.55 1.63 1.69 1.74 1.77
110 1.00 1.00 1.02 1.05 1.10 1.15 1.19 1.32 1.43 1.51 1.59 1.65 1.71 1.73
112.5 1.00 1.00 1.02 1.04 1.08 1.13 1.18 1.29 1.41 1.49 1.56 1.62 1.67 1.70
115 1.00 1.00 1.01 1.04 1.07 1.12 1.16 1.27 1.38 1.46 1.53 1.59 1.64 1.67
117.5 1.00 1.00 1.01 1.03 1.07 1.11 1.15 1.26 1.36 1.43 1.50 1.55 1.61 1.63
120 1.00 1.00 1.01 1.03 1.06 1.10 1.14 1.24 1.34 1.40 1.47 1.52 1.58 1.60
122.5 1.00 1.00 1.01 1.02 1.05 1.09 1.12 1.22 1.31 1.38 1.44 1.49 1.55 1.57
125 1.00 1.00 1.00 1.02 1.04 1.08 1.11 1.21 1.29 1.35 1.41 1.46 1.52 1.54
127.5 1.00 1.00 1.00 1.01 1.04 1.07 1.10 1.19 1.27 1.33 1.39 1.43 1.49 1.52
130 1.00 1.00 1.00 1.01 1.03 1.06 1.09 1.18 1.25 1.31 1.36 1.41 1.46 1.49
132.5 1.00 1.00 1.00 1.01 1.02 1.05 1.08 1.16 1.24 1.28 1.34 1.38 1.44 1.47
135 1.00 1.00 1.00 1.01 1.02 1.04 1.07 1.15 1.22 1.26 1.32 1.36 1.42 1.44
137.5 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.14 1.20 1.24 1.30 1.34 1.39 1.42
140 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.13 1.19 1.22 1.28 1.32 1.37 1.40
142.5 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.12 1.17 1.21 1.26 1.30 1.35 1.38
145 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.11 1.16 1.19 1.24 1.28 1.33 1.36
147.5 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.10 1.14 1.17 1.23 1.26 1.32 1.34
150 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.09 1.13 1.16 1.21 1.25 1.30 1.33
152.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.08 1.12 1.15 1.20 1.23 1.29 1.31
155 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.07 1.10 1.13 1.19 1.22 1.27 1.30
157.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.06 1.09 1.12 1.18 1.21 1.26 1.28
160 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.08 1.11 1.17 1.20 1.24 1.27
162.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.07 1.10 1.16 1.19 1.23 1.26
165 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.06 1.09 1.15 1.17 1.22 1.25
167.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.05 1.08 1.14 1.16 1.21 1.24
170 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.07 1.13 1.15 1.20 1.23
172.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.06 1.12 1.14 1.18 1.22
175 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.11 1.12 1.17 1.21
177.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.10 1.10 1.15 1.20
A255 − 20a
TABLE 4 Distance Hardness Dividing Factors for Boron Steels, in.
Ideal
Jominy End-Quench Distance ( ⁄16 in.)
Diameter
2 3 4 5 6 7 8 9 10 12 14 16 18 20 24 28 32
(DI), in.
1.5 1.10 1.14 1.88 2.52 2.91 3.23
1.6 1.08 1.12 1.65 2.20 2.70 3.02
1.7 1.07 1.10 1.47 1.95 2.50 2.82 2.99
1.8 1.06 1.09 1.34 1.74 2.31 2.63 2.83 3.00
1.9 1.05 1.08 1.25 1.58 2.13 2.45 2.67 2.84 3.08
2 1.04 1.07 1.19 1.46 1.97 2.28 2.51 2.68 2.88 3.33
2.1 1.03 1.06 1.14 1.36 1.83 2.12 2.36 2.53 2.70 3.15 3.69
2.2 1.02 1.05 1.11 1.29 1.70 1.98 2.21 2.38 2.53 2.98 3.48 3.86
2.3 1.02 1.04 1.09 1.24 1.58 1.84 2.08 2.24 2.38 2.82 3.29 3.65
2.4 1.02 1.04 1.08 1.20 1.48 1.72 1.95 2.11 2.24 2.67 3.11 3.45 3.63
2.5 1.01 1.03 1.07 1.17 1.40 1.61 1.83 1.99 2.12 2.54 2.95 3.27 3.45 3.62 4.05
2.6 1.00 1.03 1.06 1.15 1.32 1.52 1.72 1.87 2.00 2.41 2.79 3.09 3.28 3.46 3.86 4.23
2.7 1.00 1.03 1.05 1.14 1.26 1.43 1.62 1.77 1.90 2.29 2.65 2.93 3.12 3.30 3.67 4.00
2.8 1.00 1.02 1.05 1.13 1.21 1.36 1.53 1.67 1.80 2.18 2.52 2.78 2.97 3.15 3.50 3.78 4.27
2.9 1.00 1.01 1.04 1.12 1.17 1.30 1.44 1.59 1.72 2.08 2.40 2.65 2.83 3.01 3.34 3.59 4.01
3 1.00 1.00 1.04 1.11 1.13 1.25 1.37 1.51 1.64 1.99 2.29 2.52 2.70 2.88 3.19 3.41 3.78
3.1 1.00 1.00 1.03 1.10 1.11 1.20 1.31 1.44 1.57 1.90 2.19 2.40 2.57 2.75 3.04 3.25 3.57
3.2 1.00 1.00 1.03 1.09 1.09 1.17 1.26 1.38 1.50 1.82 2.09 2.29 2.46 2.63 2.91 3.10 3.39
3.3 1.00 1.00 1.02 1.08 1.08 1.14 1.21 1.33 1.45 1.75 2.01 2.19 2.35 2.51 2.78 2.97 3.22
3.4 1.00 1.00 1.02 1.07 1.07 1.11 1.17 1.28 1.40 1.68 1.93 2.10 2.25 2.40 2.66 2.84 3.07
3.5 1.00 1.00 1.01 1.06 1.06 1.10 1.14 1.24 1.35 1.62 1.85 2.01 2.16 2.30 2.55 2.73 2.94
3.6 1.00 1.00 1.00 1.05 1.06 1.08 1.12 1.21 1.31 1.56 1.78 1.93 2.07 2.21 2.45 2.63 2.82
3.7 1.00 1.00 1.00 1.04 1.06 1.08 1.10 1.18 1.27 1.51 1.72 1.86 1.99 2.12 2.35 2.53 2.71
3.8 1.00 1.00 1.00 1.04 1.06 1.07 1.09 1.16 1.24 1.46 1.66 1.80 1.92 2.04 2.26 2.44 2.61
3.9 1.00 1.00 1.00 1.03 1.05 1.06 1.08 1.14 1.21 1.42 1.60 1.74 1.85 1.96 2.18 2.36 2.52
4 1.00 1.00 1.00 1.02 1.05 1.06 1.07 1.13 1.19 1.38 1.55 1.68 1.79 1.89 2.11 2.29 2.44
4.1 1.00 1.00 1.00 1.02 1.05 1.06 1.07 1.12 1.17 1.35 1.50 1.63 1.73 1.82 2.03 2.22 2.37
4.2 1.00 1.00 1.00 1.01 1.04 1.06 1.06 1.11 1.15 1.31 1.46 1.58 1.68 1.76 1.97 2.15 2.30
4.3 1.00 1.00 1.00 1.01 1.03 1.05 1.06 1.10 1.13 1.28 1.42 1.54 1.63 1.71 1.91 2.09 2.23
4.4 1.00 1.00 1.00 1.01 1.03 1.05 1.06 1.09 1.11 1.25 1.38 1.50 1.58 1.66 1.85 2.03 2.17
4.5 1.00 1.00 1.00 1.00 1.02 1.04 1.06 1.09 1.10 1.23 1.35 1.47 1.54 1.61 1.80 1.98 2.11
4.6 1.00 1.00 1.00 1.00 1.01 1.04 1.06 1.08 1.09 1.21 1.32 1.43 1.51 1.57 1.75 1.93 2.06
4.7 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.08 1.08 1.19 1.29 1.40 1.47 1.53 1.71 1.88 2.01
4.8 1.00 1.00 1.00 1.00 1.01 1.03 1.05 1.07 1.07 1.17 1.26 1.37 1.44 1.50 1.67 1.83 1.96
4.9 1.00 1.00 1.00 1.00 1.02 1.02 1.04 1.06 1.06 1.15 1.24 1.35 1.41 1.47 1.63 1.79 1.91
5 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.06 1.06 1.14 1.21 1.32 1.38 1.44 1.59 1.75 1.87
5.1 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.05 1.12 1.19 1.30 1.36 1.41 1.56 1.71 1.82
5.2 1.00 1.00 1.00 1.00 1.00 1.02 1.02 1.04 1.05 1.11 1.17 1.28 1.33 1.39 1.52 1.67 1.78
5.3 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.04 1.10 1.16 1.26 1.31 1.36 1.49 1.64 1.74
5.4 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.04 1.09 1.14 1.24 1.29 1.34 1.46 1.60 1.70
5.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.08 1.13 1.22 1.27 1.32 1.44 1.57 1.67
5.6 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.03 1.07 1.12 1.20 1.25 1.30 1.41 1.54 1.63
5.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.03 1.06 1.11 1.19 1.23 1.28 1.38 1.51 1.60
5.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.02 1.05 1.10 1.17 1.22 1.26 1.36 1.48 1.56
5.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.04 1.09 1.16 1.20 1.24 1.33 1.46 1.53
6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.14 1.18 1.23 1.31 1.43 1.50
6.1 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.07 1.13 1.17 1.21 1.28 1.41 1.47
6.2 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.12 1.15 1.19 1.26 1.38 1.44
6.3 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.10 1.14 1.17 1.23 1.35 1.41
6.4 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.09 1.12 1.15 1.21 1.33 1.38
6.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.11 1.13 1.18 1.30 1.35
6.6 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.09 1.12 1.16 1.27 1.32
6.7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.08 1.10 1.14 1.25 1.29
6.8 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.07 1.08 1.11 1.21 1.25
6.9 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.05 1.06 1.07 1.09 1.18 1.21
7 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.05 1.05 1.07 1.14 1.17
A255 − 20a
TABLE 5 Distance Hardness Dividing Factors for Boron Steels, mm
Ideal
Jominy End-Quench Distance (mm)
Diameter
3 5 7 9 11 13 15 20 25 30 35 40 45 50
(DI), mm
40 1.07 1.25 1.92 2.56
42.5 1.06 1.21 1.73 2.34
45 1.05 1.18 1.57 2.14 2.64
47.5 1.04 1.14 1.45 1.97 2.44
50 1.03 1.12 1.35 1.83 2.26 2.57
52.5 1.03 1.09 1.28 1.70 2.10 2.40
55 1.03 1.08 1.22 1.59 1.96 2.24 2.52
57.5 1.02 1.06 1.17 1.49 1.83 2.10 2.37
60 1.02 1.05 1.14 1.41 1.71 1.97 2.23
62.5 1.01 1.04 1.11 1.35 1.61 1.86 2.10
65 1.01 1.03 1.09 1.29 1.53 1.75 1.99 2.56
67.5 1.00 1.03 1.08 1.24 1.45 1.66 1.88 2.43
70 1.00 1.02 1.07 1.20 1.38 1.57 1.78 2.32
72.5 1.00 1.02 1.06 1.17 1.32 1.50 1.70 2.21
75 1.00 1.01 1.06 1.14 1.27 1.43 1.62 2.11 2.53
77.5 1.00 1.01 1.05 1.12 1.23 1.37 1.55 2.01 2.42 2.71
80 1.00 1.00 1.05 1.11 1.19 1.32 1.48 1.93 2.31 2.59 2.82
82.5 1.00 1.00 1.05 1.10 1.16 1.27 1.43 1.85 2.21 2.47 2.70 2.89 3.06 3.26
85 1.00 1.00 1.04 1.09 1.13 1.23 1.38 1.78 2.11 2.37 2.59 2.77 2.92 3.11
87.5 1.00 1.00 1.04 1.08 1.11 1.20 1.33 1.71 2.03 2.27 2.48 2.66 2.80 2.98
90 1.00 1.00 1.03 1.07 1.09 1.17 1.29 1.65 1.95 2.18 2.38 2.55 2.69 2.86
92.5 1.00 1.00 1.03 1.07 1.08 1.15 1.26 1.59 1.87 2.09 2.29 2.46 2.59 2.75
95 1.00 1.00 1.02 1.06 1.07 1.13 1.23 1.54 1.81 2.01 2.20 2.37 2.50 2.65
97.5 1.00 1.00 1.01 1.06 1.06 1.11 1.20 1.49 1.74 1.94 2.12 2.28 2.42 2.56
100 1.00 1.00 1.00 1.06 1.05 1.09 1.18 1.45 1.69 1.87 2.05 2.21 2.34 2.48
102.5 1.00 1.00 1.00 1.05 1.04 1.08 1.16 1.41 1.63 1.81 1.98 2.13 2.27 2.41
105 1.00 1.00 1.00 1.05 1.04 1.07 1.14 1.37 1.58 1.75 1.91 2.07 2.21 2.34
107.5 1.00 1.00 1.00 1.05 1.04 1.06 1.13 1.34 1.54 1.70 1.86 2.01 2.15 2.27
110 1.00 1.00 1.00 1.04 1.03 1.06 1.12 1.31 1.50 1.65 1.80 1.95 2.09 2.21
112.5 1.00 1.00 1.00 1.04 1.03 1.05 1.11 1.28 1.46 1.61 1.75 1.89 2.03 2.16
115 1.00 1.00 1.00 1.03 1.03 1.05 1.10 1.25 1.43 1.56 1.70 1.84 1.98 2.10
117.5 1.00 1.00 1.00 1.03 1.03 1.05 1.09 1.23 1.39 1.53 1.66 1.80 1.93 2.05
120 1.00 1.00 1.00 1.03 1.03 1.04 1.08 1.21 1.36 1.49 1.62 1.75 1.88 2.01
122.5 1.00 1.00 1.00 1.02 1.02 1.04 1.08 1.19 1.34 1.46 1.58 1.71 1.84 1.96
125 1.00 1.00 1.00 1.02 1.02 1.04 1.07 1.17 1.31 1.43 1.55 1.67 1.80 1.91
127.5 1.00 1.00 1.00 1.01 1.02 1.04 1.07 1.15 1.29 1.40 1.52 1.64 1.75 1.87
130 1.00 1.00 1.00 1.01 1.02 1.03 1.06 1.14 1.27 1.38 1.49 1.60 1.72 1.83
132.5 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.13 1.25 1.35 1.46 1.57 1.68 1.79
135 1.00 1.00 1.00 1.00 1.02 1.03 1.05 1.11 1.23 1.33 1.44 1.54 1.64 1.75
137.5 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.10 1.21 1.31 1.41 1.51 1.61 1.72
140 1.00 1.00 1.00 1.00 1.01 1.02 1.04 1.09 1.19 1.29 1.39 1.48 1.58 1.68
142.5 1.00 1.00 1.00 1.00 1.01 1.02 1.03 1.08 1.18 1.27 1.37 1.45 1.55 1.65
145 1.00 1.00 1.00 1.00 1.01 1.01 1.03 1.07 1.16 1.25 1.34 1.43 1.52 1.62
147.5 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.06 1.15 1.24 1.32 1.41 1.49 1.59
150 1.00 1.00 1.00 1.00 1.00 1.01 1.02 1.05 1.14 1.22 1.30 1.38 1.47 1.56
152.5 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.12 1.20 1.28 1.36 1.44 1.53
155 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.11 1.18 1.26 1.34 1.42 1.51
157.5 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.03 1.10 1.17 1.24 1.31 1.40 1.48
160 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.09 1.15 1.22 1.29 1.37 1.45
162.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.07 1.13 1.20 1.27 1.35 1.43
165 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.06 1.12 1.18 1.25 1.33 1.40
167.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.05 1.10 1.16 1.22 1.30 1.37
170 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.04 1.08 1.14 1.20 1.27 1.33
172.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.03 1.07 1.12 1.17 1.23 1.29
175 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.02 1.05 1.10 1.14 1.19 1.25
177.5 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.01 1.04 1.08 1.11 1.14 1.20
A255 − 20a
TABLE 6 Multiplying Factors, in.
Carbon-
%
Grain Mn Si Ni Cr Mo Cu V Zr
Alloy
Size 7
0.01 0.005 1.033 1.007 1.004 1.022 1.03 1.00 1.02 1.02
0.02 0.011 1.067 1.014 1.007 1.043 1.06 1.01 1.03 1.05
0.03 0.016 1.100 1.021 1.011 1.065 1.09 1.01 1.05 1.07
0.04 0.022 1.133 1.028 1.015 1.086 1.12 1.01 1.07 1.10
0.05 0.027 1.167 1.035 1.018 1.108 1.15 1.02 1.09 1.12
0.06 0.032 1.200 1.042 1.022 1.130 1.18 1.02 1.10 1.15
0.07 0.038 1.233 1.049 1.025 1.151 1.21 1.03 1.12 1.17
0.08 0.043 1.267 1.056 1.029 1.173 1.24 1.03 1.14 1.20
0.09 0.049 1.300 1.063 1.033 1.194 1.27 1.03 1.16 1.22
0.10 0.054 1.333 1.070 1.036 1.216 1.30 1.04 1.17 1.25
0.11 0.059 1.367 1.077 1.040 1.238 1.33 1.04 1.19 1.27
0.12 0.065 1.400 1.084 1.044 1.259 1.36 1.04 1.21 1.30
0.13 0.070 1.433 1.091 1.047 1.281 1.39 1.05 1.22 1.32
0.14 0.076 1.467 1.098 1.051 1.302 1.42 1.05 1.24 1.35
0.15 0.081 1.500 1.105 1.054 1.324 1.45 1.05 1.26 1.37
0.16 0.086 1.533 1.112 1.058 1.346 1.48 1.06 1.28 1.40
0.17 0.092 1.567 1.119 1.062 1.367 1.51 1.06 1.29 1.42
0.18 0.097 1.600 1.126 1.065 1.389 1.54 1.07 1.31 1.45
0.19 0.103 1.633 1.133 1.069 1.410 1.57 1.07 1.33 1.47
0.20 0.108 1.667 1.140 1.073 1.432 1.60 1.07 1.35 1.50
0.21 0.113 1.700 1.147 1.076 1.454 1.63 1.08 . . . 1.52
0.22 0.119 1.733 1.154 1.080 1.475 1.66 1.08 . . . 1.55
0.23 0.124 1.767 1.161 1.083 1.497 1.69 1.08 . . . 1.57
0.24 0.130 1.800 1.168 1.087 1.518 1.72 1.09 . . . 1.60
0.25 0.135 1.833 1.175 1.091 1.540 1.75 1.09 . . . 1.62
0.26 0.140 1.867 1.182 1.094 1.562 1.78 1.09 . . .
0.27 0.146 1.900 1.189 1.098 1.583 1.81 1.10 . . . . . .
0.28 0.151 1.933 1.196 1.102 1.605 1.84 1.10 . . . . . .
0.29 0.157 1.967 1.203 1.105 1.626 1.87 1.11 . . . . . .
0.30 0.162 2.000 1.210 1.109 1.648 1.90 1.11 . . . . . .
0.31 0.167 2.033 1.217 1.113 1.670 1.93 1.11 . . . . . .
0.32 0.173 2.067 1.224 1.117 1.691 1.96 1.12 . . . . . .
0.33 0.178 2.100 1.231 1.120 1.713 1.99 1.12 . . . . . .
0.34 0.184 2.133 1.238 1.123 1.734 2.02 1.12 . . . . . .
0.35 0.189 2.167 1.245 1.127 1.756 2.05 1.13 . . . . . .
0.36 0.194 2.200 1.252 1.131 1.778 2.08 1.13 . . . . . .
0.37 0.200 2.233 1.259 1.134 1.799 2.11 1.14 . . . . . .
0.38 0.205 2.267 1.266 1.138 1.821 2.14 1.14 . . . . . .
0.39 0.211 2.300 1.273 1.142 1.842 2.17 1.14 . . . . . .
0.40 0.214 2.333 1.280 1.145 1.864 2.20 1.15 . . . . . .
0.41 0.216 2.367 1.287 1.149 1.886 2.23 1.15 . . . . . .
0.42 0.218 2.400 1.294 1.152 1.907 2.26 1.15 . . . . . .
0.43 0.220 2.433 1.301 1.156 1.929 2.29 1.16 . . . . . .
0.44 0.223 2.467 1.308 1.160 1.950 2.32 1.16 . . . . . .
0.45 0.225 2.500 1.315 1.163 1.972 2.35 1.16 . . . . . .
0.46 0.228 2.533 1.322 1.167 1.994 2.38 1.17 . . . . . .
0.47 0.230 2.567 1.329 1.171 2.015 2.41 1.17 . . . . . .
0.48 0.233 2.600 1.336 1.174 2.037 2.44 1.18 . . . . . .
0.49 0.235 2.633 1.343 1.178 2.058 2.4
...








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