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Revision: final Report Date: May 25, 2012 Page 1 of 77 APMP.M.H-S3 Final Report Comparison on Hardness Measurement Rockwell scale A and B Tassanai Sanponpute 1 , Apichaya Meesaplak 1 , Febo Menelao 2 , T. K. Chan 3 , Gun-Woong Bahng 4 , S.S.K.Titus 5 , S.K. Jain 5 1 NIMT: National Institute of Metrology (Thailand), 3/5 Moo 3, Klong 5, Klong Luang, Pathumthani Province, 12120, Thailand 2 PTB : Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany 3 SCL: Standards and Calibration Laboratory, 36/F Immigration Tower, 7 Gloucester Road, Wanchai, Hong Kong 4 KRISS: Korea Research Institute of Standards and Science 209 gajeong-ro, Yuseong-gu, Daejeon 305-340, Korea 5 NPLI: Force & Hardness Standards, National Physical Laboratory, Dr. K.S. Krishnan Marg, New Delhi 110012, India

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Page 1: Revision: final Report Date: May 25, 2012 · Revision: Final Report Date: May 25, 2012 Page 8 of 77 Korea Research Institute of Standards and Science (KRISS) 1-15 September 2010 1-15

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APMP.M.H-S3 Final Report

Comparison on Hardness Measurement Rockwell scale A and B

Tassanai Sanponpute1, Apichaya Meesaplak1, Febo Menelao2, T. K. Chan3, Gun-Woong Bahng4, S.S.K.Titus5, S.K. Jain5

1 NIMT: National Institute of Metrology (Thailand), 3/5 Moo 3, Klong 5, Klong Luang, Pathumthani Province, 12120, Thailand

2 PTB : Physikalisch-Technische Bundesanstalt, Bundesallee 100, 38116 Braunschweig, Germany

3 SCL: Standards and Calibration Laboratory, 36/F Immigration Tower, 7 Gloucester Road, Wanchai, Hong Kong

4 KRISS: Korea Research Institute of Standards and Science 209 gajeong-ro, Yuseong-gu, Daejeon 305-340, Korea

5 NPLI: Force & Hardness Standards, National Physical Laboratory, Dr. K.S. Krishnan Marg, New Delhi 110012, India

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Abstract The APMP.M.H-S3 Rockwell hardness intercomparison was initiated by NIMT, Thailand and the required protocol was prepared by NIMT and was checked by Dr.John Man, MNIA, Australia in 2009. In this comparison, PTB, Germany, Standards and Calibration Laboratory (SCL), Hong Kong, National Physical Laboratory (NPLI), India, and Korea Research Institute of Standards and Science (KRISS), Korea have participated. This comparison exercise was focused in the measurement range of 25-100 HRBW scale and 35-85 HRA scale. The Round Robin test was done during the period of April 2010 to October 2010. The participated NMIs have demonstrated the capability of the machine and the operating conditions according to ISO 6508 Part3 to perform the measurements. However, SCL, Hong Kong could demonstrate their capability to perform the measurements only according to ISO 6508 part2. The CMC declared by the different laboratories lie in the range of 0.30 HRA to 0.40 HRA and 0.40 HRBW to 0.75 HRBW. The CMC declared by SCL for the Rockwell B scale is 1.5HRBW due to the reason described above. It is observed from the results that the measurement uncertainty is estimated not less than the CMC declared by the laboratories. From the measurement results provided by all the participated laboratories, the En ratio was determined to establish the degree of equivalence. The En ratio was calculated by including as well as by excluding the results of the laboratory which has performed the test according to ISO 6508 Part2 in order to make sure that it does not affect the overall results. It is noticed that the En ratio still found to remain less than 1.

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Content

1. Introduction ............................................................................................................... 6 2. Participating Institutes ............................................................................................... 6 3. Schedule .................................................................................................................... 7 4. Artifacts ..................................................................................................................... 8 5. Measurement of Artifacts........................................................................................... 9 6. HRA Measurement Data .......................................................................................... 10 7. HRB Measurement Data .......................................................................................... 14 8. Analyzing Method of Comparison Results ............................................................... 19 9. Comparison Results ................................................................................................. 21 10. Discussion and Conclusion ...................................................................................... 27 11. Measurement Report ................................................................................................ 28

Measurement report of PTB Laboratory .................................................................... 29 Measurement report of NIMT Laboratory ................................................................. 36 Measurement report of KRISS Laboratory ................................................................ 50 Measurement report of NPLI Laboratory .................................................................. 61 Measurement report of SCL Laboratory .................................................................... 69

12. References ............................................................................................................... 77

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Content of Table Table 1 List of participants ................................................................................................. 6 Table 2 List of CMC declaration ........................................................................................ 7 Table 3 Original schedule and actual time of measurement ................................................. 7 Table 4 Artifact Identifications ........................................................................................... 8 Table 5 NIMT’s HRA Measurement Result ..................................................................... 10 Table 6 PTB’s HRA Measurement Result ........................................................................ 11 Table 7 KRISS’s HRA Measurement Result .................................................................... 12 Table 8 NPLI’s HRA Measurement Result ...................................................................... 13 Table 9 NIMT’s HRB Measurement Result ...................................................................... 14 Table 10 PTB’s HRB Measurement Result ....................................................................... 15 Table 11 SCL’s HRB Measurement Result ....................................................................... 16 Table 12 KRISS’s HRB Measurement Result ................................................................... 17 Table 13 NPLI’s HRB Measurement Result .................................................................... 18 Table 14 Conclusion of comparison evaluation on Rockwell hardness scale A ................. 21 Table 15 Conclusion of comparison evaluation on Rockwell hardness scale B .................. 23 Table 16 Conclusion of comparison evaluation on Rockwell hardness scale B without

SCL’s results ............................................................................................................ 25

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Content of Figure Figure 1 Indentation position .............................................................................................. 9 Figure 2 Deviation from reference value of HRA measurement comparison ..................... 22 Figure 3 En Ratio of HRA measurement comparison ........................................................ 22 Figure 4 Deviation value of HRB measurement comparison ............................................. 24 Figure 5 En Ratio of HRB measurement comparison ........................................................ 24 Figure 6 Deviation value of HRB measurement comparison without SCL’s results.......... 26 Figure 7 En Ratio of HRB measurement comparison without SCL’s results ..................... 26 Figure 8 Variation of hardness measurement in Rockwell scale A .................................... 27 Figure 9 Variation of hardness measurement in Rockwell scale B .................................... 27

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1. Introduction There is a great demand to organize a measurement comparison in HRA and HRB from some National Institute of Metrology in ASEAN countries and may be in some APMP members in order to establish the CMC of the participating National Metrological Institutes (NMI). In view of this, the National Institute of Metrology, Thailand (NIMT) has taken the initiative to be the pilot laboratory to organize the comparison. Physikalish – Techniche Bundesansralt, Germany (PTB) has participated as an invited laboratory from EUROMET as they have a long experience and good reputation in hardness measurements. In this comparison, Standards and Calibration Laboratory (SCL), Hong Kong, National Physical Laboratory (NPLI), India, and Korea Research Institute of Standards and Science (KRISS), Korea have shown keen interest for participation.

The first objective of this comparison is to determine the capability of the primary Rockwell hardness machine, including standard conditions, of each participant. The second objective is to confirm the calibration and measurement capability (CMC) of Rockwell hardness scale A and B measurement declared by the participants.

2. Participating Institutes The list of participants and the CMC declared by them are given in table 1 and table 2 as below:

Table 1 List of participants

Participant Address Contact information National Institute of Metrology (Thailand), NIMT

3 / 4-5 Moo 3, Klong 5, KlongLuang, Pathumthani 12120, Thailand

[email protected] Tel: +66 (0)2584 3090

Physikalisch-Technische Bundesanstalt, PTB

5.12: Hardness and Layer Thickness Measurement Technique Bundesallee 100 38116 Braunschweig Germany

[email protected] Tel: +49 (0)531 592-5145

Standards and Calibration Laboratory, SCL

36/F Immigration Tower, 7 Gloucester Road, Wanchai, Hong Kong

[email protected]

Korea Research Institute of Standards and Science, KRISS

209 gajeong-ro, Yuseong-gu, Daejeon 305-340, Korea

[email protected]

National Physical Laboratory, (NPLI)

Dr. K.S. Krishnan Marg, New Delhi 110012, India

[email protected] Tel: +91 11 456 08680

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Table 2 List of CMC declaration

Participant Calibration and Measurement Capability (CMC)

Rockwell scale A Rockwell scale B

National Institute of Metrology (Thailand), NIMT

0.38 HRA 0.40 HRB

Physikalisch-Technische Bundesanstalt, PTB 0.30 HRA 0.50 HRB

Standards and Calibration Laboratory, SCL - 1.5 HRB

Korea Research Institute of Standards and Science, KRISS 0.40 HRA

0.60 HRB for nominal more than 50 HRB

0.75 HRB for nominal not more than 50 HRB

National Physical Laboratory, NPLI

0.30 HRA

0.50 HRB for nominal more than 60 HRB

0.60 HRB for nominal not more than 60 HRB

3. Schedule The comparison started at the pilot lab, NIMT, in May 2010. The original schedule was to transfer the artifact from NIMT, PTB, NPLI, SCL, and KRISS respectively with 2 weeks for measurement and 2 weeks for transportation process. The actual measurement schedule was slightly changed from the tentative one due to some problem in shipping the artifact to India. Thus, NPLI was scheduled to the last participant for measurement during October 2010 while measurements of the other participants went according to the original plan. The table 3 shows the original schedule and actual time of measurement

Table 3 Original schedule and actual time of measurement

Institute/Country Original schedule Actual schedule

National Institute of Metrology (Thailand) 1-14 May 2010 1-14 May 2010

Physikalisch-Technische Bundesanstalt (PTB) 1-15 June 2010 1-15 June 2010

Standards and Calibration Laboratory (SCL) 1-15 August 2010 1-15 August 2010

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Korea Research Institute of Standards and Science (KRISS) 1-15 September 2010 1-15 September 2010

National Physical Laboratory India 1-15 July 2010 1-15 October 2010

SCL, Hong Kong was able to make the measurement only in HRB scale, while others participants made the measurement in all the range of hardness scales, i.e. both in HRA and HRB.

4. Artifacts The artifact reference blocks for Rockwell hardness scale A and scale B are manufactured by Asahi Giken Co.,Ltd. Japan. Each scale consists of hardness block with serial number as in the table 4. The dimensions of the blocks are 65 mm in diameter and thickness of each block as in the table 4. All hardness block with 10.5 mm thickness are made from brass while the rest is made from steel.

Table 4 Artifact Identifications

HRA Set S/N Thickness HRB Set S/N Thickness

35 HRA A32517 11.5 mm 25 HRB E1620 10.5 mm

40 HRA A33781 11.5 mm 30 HRB B30120 10.5 mm

55 HRA 25568 15 mm 40 HRB A31382 10.5 mm

60 HRA B12037 15 mm 50 HRB A32411 10.5 mm

70 HRA B15871 15 mm 60 HRB A33748 10.5 mm

80 HRA A27761 15 mm 70 HRB A28422 10.5 mm

85 HRA A21048 15 mm 80 HRB A35542 10.5 mm

90 HRB 25566 15 mm

100 HRB 30836 15 mm

The surface of each artifact block was laser engraved with divided segments for

indicating the indentation positions (Figure 1). Each segment is used for single

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indentation in the comparison. There are 9 areas of measurement on each block. The rest of the segments on the block surface are reserved as alternative places for trial and error measurements

Figure 1 Indentation position The plastic sheet indicating the indentation position of each participant will be

enclosed with the artifact sets. It shall be placed on the artifact block in order to ensure the indentation position before making the indentation.

5. Measurement of Artifacts The primary Rockwell hardness machines used for the comparison must be passed

the verification according to ISO 6508-3 [1]. Before making the indentation on each block, the testing cycle must be adjusted to comply with ISO 6508-3. Then start to measure the hardness value of artifact blocks by making 9 indentations each block on the designated area on the indentation-positioning sheet. Each participant must give a characteristics description of your primary Rockwell hardness machine, your primary indenter, testing condition and environmental information. Also laboratory must report the measurement results for each indentation and the uncertainty of measurement of Rockwell hardness scale A and Rockwell hardness scale B, and uncertainty budget of measurement.

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6. HRA Measurement Data

Table 5 NIMT’s HRA Measurement Result

Measure value (HRA) No. A32517 A33781 25568 B12037 B15871 A27761 A21048

Nominal value 35 40 55 60 70 80 85 Section1 35.41 38.99 54.98 60.47 70.53 81.29 85.43 Section2 35.25 39.11 55.05 60.45 70.60 81.28 85.37 Section3 35.17 39.23 55.05 60.47 70.56 81.25 85.39 Section4 35.26 39.12 55.06 60.43 70.58 81.28 85.38 Section5 35.08 39.53 55.05 60.37 70.52 81.33 85.25 Section6 35.29 39.31 55.12 60.42 70.56 81.26 85.25 Section7 35.24 38.94 55.06 60.44 70.61 81.31 85.22 Section8 35.44 38.98 55.03 60.45 70.64 81.34 85.28 Section9 35.15 38.70 55.08 60.47 70.59 81.32 85.33

Average Value 35.25 39.10 55.05 60.44 70.58 81.30 85.32 Uniformity 0.36 0.83 0.14 0.10 0.12 0.09 0.21

Correction Value 0.08 0.08 0.08 0.08 0.08 0.08 0.08 Corrected Value 35.33 39.18 55.13 60.52 70.65 81.37 85.40

Expanded uncertainty (k=2) 0.40 0.43 0.39 0.39 0.39 0.38 0.39

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Table 6 PTB’s HRA Measurement Result

Measure value (HRA) No. A32517 A33781 25568 B12037 B15871 A27761 A21048

Nominal value 35 40 55 60 70 80 85 Section1 34.84 38.84 54.96 60.66 70.79 81.47 85.55 Section2 35.48 39.24 55.15 60.67 70.87 81.48 85.61 Section3 34.90 38.58 55.17 60.61 70.84 81.45 85.57 Section4 35.00 39.06 55.21 60.57 70.88 81.53 85.41 Section5 34.98 39.31 55.25 60.58 70.79 81.52 85.45 Section6 35.22 39.25 55.17 60.60 70.77 81.45 85.50 Section7 35.16 38.75 55.14 60.62 70.87 81.51 85.42 Section8 35.51 38.98 55.17 60.64 70.92 81.48 85.42 Section9 35.41 38.78 55.24 60.63 70.88 81.51 85.56

Average Value 35.17 38.98 55.16 60.62 70.85 81.49 85.50 Uniformity 0.67 0.73 0.29 0.10 0.15 0.08 0.20

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 35.17 38.98 55.16 60.62 70.85 81.49 85.50

Expanded uncertainty (k=2) 0.35 0.35 0.31 0.30 0.30 0.30 0.30

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Table 7 KRISS’s HRA Measurement Result

Measure value (HRA)

No. A32517 A33781 25568 B12037 B15871 A27761 A21048 Nominal value 35 40 55 60 70 80 85

Section1 36.40 40.00 54.70 60.20 70.70 81.20 85.50 Section2 35.40 39.21 54.90 60.20 70.80 81.40 85.50 Section3 35.60 39.90 55.00 60.40 70.80 81.40 85.50 Section4 35.60 39.30 55.00 60.40 70.70 81.30 85.40 Section5 35.40 39.70 54.90 60.30 70.70 81.40 85.50 Section6 35.60 39.30 55.00 60.40 70.60 81.40 85.30 Section7 35.30 39.30 54.80 60.30 70.80 81.35 85.50 Section8 35.40 39.00 54.90 60.30 70.70 81.40 85.40 Section9 35.50 39.10 54.90 60.20 70.60 81.40 85.30

Average Value 35.58 39.42 54.90 60.30 70.71 81.36 85.43 Uniformity 1.10 1.00 0.30 0.20 0.20 0.20 0.20

Correction Value -0.03 -0.03 -0.03 -0.04 -0.04 -0.04 -0.04 Corrected Value 35.55 39.39 54.87 60.26 70.67 81.32 85.39

Expanded uncertainty (k=2) 0.46 0.47 0.40 0.40 0.40 0.40 0.40

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Table 8 NPLI’s HRA Measurement Result

Measure value (HRA) No. A32517 A33781 25568 B12037 B15871 A27761 A21048

Nominal value 35 40 55 60 70 80 85 Section1 35.48 38.49 55.46 60.74 70.66 81.54 85.91 Section2 35.47 38.42 55.31 60.77 70.79 81.55 85.94 Section3 35.31 39.34 55.14 60.46 70.88 81.57 85.87 Section4 35.16 39.26 55.29 60.45 70.88 81.55 85.68 Section5 35.12 39.51 55.33 60.53 70.91 81.55 85.80 Section6 35.28 39.36 55.19 60.56 70.90 81.56 85.78 Section7 35.34 39.41 55.09 60.63 70.80 81.57 85.72 Section8 35.20 39.46 54.98 60.55 70.85 81.49 85.67 Section9 35.40 39.19 55.13 60.63 70.94 81.68 85.81

Average Value 35.31 39.16 55.21 60.59 70.85 81.56 85.80 Uniformity 0.36 1.09 0.48 0.32 0.28 0.19 0.27

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 35.31 39.16 55.21 60.59 70.85 81.56 85.80

Expanded uncertainty (k=2) 0.31 0.42 0.32 0.31 0.31 0.30 0.31

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7. HRB Measurement Data

Table 9 NIMT’s HRB Measurement Result

Measure value (HRBW) No. E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 30836

Nominal value 25 30 40 50 60 70 80 90 100 Section1 23.88 28.60 37.82 51.05 59.70 69.74 79.79 90.13 100.14 Section2 24.29 28.38 37.85 51.14 59.28 69.53 78.72 90.47 100.10 Section3 24.32 28.48 37.66 51.05 59.63 69.40 80.19 90.46 100.11 Section4 23.97 28.70 37.96 50.95 59.98 69.37 79.52 90.45 100.09 Section5 24.18 28.62 37.40 50.99 58.96 69.56 79.66 90.40 100.05 Section6 24.22 28.21 37.54 51.13 59.40 69.97 80.19 90.49 99.95 Section7 23.84 28.37 37.84 50.91 59.67 69.57 79.61 90.56 99.94 Section8 24.14 28.65 37.61 50.87 59.82 69.35 78.96 90.51 99.96 Section9 23.79 28.63 37.75 50.84 59.73 69.85 79.38 90.45 100.02

Average Value 24.07 28.52 37.71 50.99 59.57 69.59 79.56 90.44 100.04 Uniformity 0.53 0.49 0.56 0.30 1.02 0.62 1.47 0.43 0.20

Correction Value 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 Corrected Value 24.13 28.57 37.77 51.05 59.63 69.65 79.61 90.49 100.10

Expanded uncertainty (k=2) 0.40 0.40 0.40 0.40 0.40 0.40 0.41 0.40 0.40

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Table 10 PTB’s HRB Measurement Result

Measure value (HRBW) No. E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 30836

Nominal value 25 30 40 50 60 70 80 90 100 Section1 23.22 28.84 37.86 51.05 60.13 70.32 79.25 89.73 99.76 Section2 23.34 28.88 37.69 51.12 60.49 70.19 79.49 90.03 99.76 Section3 22.99 28.94 37.54 51.05 59.94 69.90 79.32 90.01 99.74 Section4 22.76 28.32 37.56 50.77 59.71 69.66 79.73 90.01 99.67 Section5 23.55 28.38 37.29 50.87 59.46 69.68 79.38 90.00 99.70 Section6 23.38 28.50 37.85 50.99 59.67 69.75 80.24 90.01 99.60 Section7 23.66 28.34 37.52 50.93 60.04 69.80 80.04 90.05 99.60 Section8 23.32 28.43 37.78 50.82 60.09 69.71 79.67 90.02 99.61 Section9 23.89 28.70 37.78 50.91 60.04 69.89 79.45 89.96 99.65

Average Value 23.35 28.59 37.65 50.95 59.95 69.88 79.62 89.98 99.68 Uniformity 1.14 0.61 0.57 0.35 1.03 0.66 0.99 0.32 0.16

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 23.35 28.59 37.65 50.95 59.95 69.88 79.62 89.98 99.68

Expanded uncertainty (k=2) 0.56 0.53 0.52 0.51 0.54 0.53 0.55 0.50 0.50

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Table 11 SCL’s HRB Measurement Result

Measure value (HRBW) No. E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 30836

Nominal value 25 30 40 50 60 70 80 90 100 Section1 26.75 31.30 40.25 53.30 61.95 71.60 81.05 91.55 100.95 Section2 26.65 31.45 40.05 53.20 61.60 71.35 80.90 91.55 100.95 Section3 27.00 30.95 40.45 52.95 61.60 71.50 81.55 91.40 101.00 Section4 26.60 30.70 40.10 52.90 61.15 71.50 80.30 91.45 100.90 Section5 25.95 30.50 39.50 52.60 61.15 71.20 80.35 91.50 100.85 Section6 26.70 30.15 39.75 52.80 61.35 71.20 81.20 91.50 100.85 Section7 25.85 29.05 40.00 53.00 61.75 71.20 80.50 91.50 100.85 Section8 26.60 30.75 40.30 53.05 61.90 71.50 80.90 91.60 100.90 Section9 25.60 30.70 39.50 53.10 61.30 71.40 80.35 91.45 100.80

Average Value 26.41 30.62 39.99 52.99 61.53 71.38 80.79 91.50 100.89 Uniformity 1.40 2.40 0.95 0.70 0.80 0.40 1.25 0.20 0.20

Correction Value -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 Corrected Value 25.91 30.12 39.49 52.49 61.03 70.88 80.29 91.00 100.39

Expanded uncertainty (k=2) 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00

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Table 12 KRISS’s HRB Measurement Result

Measure value (HRBW) No. E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 30836

Nominal value 25 30 40 50 60 70 80 90 100 Section1 22.70 29.60 38.70 52.10 59.60 70.50 79.80 90.70 100.00 Section2 22.80 29.40 38.70 50.90 59.80 70.00 79.20 90.30 100.20 Section3 23.10 29.20 38.40 51.00 59.40 70.00 80.20 90.30 100.10 Section4 23.80 29.50 38.60 50.90 59.70 70.00 79.80 90.30 100.10 Section5 24.30 29.60 38.80 51.00 59.80 70.30 79.70 90.30 100.20 Section6 23.90 29.60 38.40 51.00 59.90 70.90 80.50 90.40 100.10 Section7 24.10 29.60 38.80 50.80 60.00 69.90 79.30 90.40 100.10 Section8 23.70 29.40 38.40 50.70 60.20 70.00 80.50 90.30 100.10 Section9 23.90 29.20 38.50 50.60 59.70 69.90 79.70 90.30 100.00

Average Value 23.59 29.46 38.59 51.00 59.79 70.17 79.86 90.37 100.10 Uniformity 1.60 0.40 0.40 1.50 0.80 1.00 1.30 0.40 0.20

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 23.59 29.46 38.59 51.00 59.79 70.17 79.86 90.37 100.10

Expanded uncertainty (k=2) 0.75 0.75 0.75 0.75 0.60 0.60 0.60 0.60 0.60

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Table 13 NPLI’s HRB Measurement Result

Measure value (HRBW)

No. E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 30836 Nominal value 25 30 40 50 60 70 80 90 100

Section1 23.14 29.67 37.14 51.41 59.32 69.76 79.09 90.12 99.96 Section2 23.56 29.45 37.38 51.11 59.13 70.23 78.89 90.05 99.87 Section3 23.59 29.43 36.90 51.50 59.19 69.97 79.80 90.09 100.08 Section4 24.21 29.53 37.70 51.33 58.83 69.64 79.41 90.14 99.87 Section5 24.77 29.74 37.82 51.49 58.88 69.93 79.66 90.03 99.80 Section6 24.83 29.58 37.67 51.21 58.71 69.82 79.85 90.06 99.84 Section7 24.70 29.26 37.87 51.24 59.35 69.73 79.32 90.38 99.85 Section8 24.89 29.47 38.10 51.23 58.84 69.91 79.33 90.16 99.76 Section9 24.86 29.52 38.24 50.80 59.28 69.50 78.85 90.18 99.76

Average Value 24.28 29.52 37.65 51.26 59.06 69.83 79.36 90.13 99.87 Uniformity 1.75 0.48 1.34 0.70 0.64 0.73 1.00 0.35 0.32

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 24.28 29.52 37.65 51.26 59.06 69.83 79.36 90.13 99.87

Expanded uncertainty (k=2) 0.70 0.60 0.60 0.60 0.60 0.52 0.56 0.51 0.51

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8. Analyzing Method of Comparison Results The measurement results are used to compute the degree of equivalence in Comparison Reference Value (CRV) and En ratio. The calculation is shown in following formulas: -Calculation of Comparison Reference Value (CRV) Pilot laboratory determined KCRV by calculating the weighted mean of measurements of all participants (xref).

Eq. 1

-The uncertainty of the CRV was calculated by following expression:

Eq. 2

Where:

= The measured value of participating institute ( =1,2,…,n) = The standard uncertainty of

-Its deviation from CRV

Eq. 3

-The uncertainty of this deviation at a 95% level of confidence

Eq. 4

Where was given by

Eq. 5

And k = 2 -Evaluation of Coefficient En The equivalence between the measurements of participating institutes was expressed by coefficient as well.

Eq. 6

Where:

)(1...)(1)(1)(...)()(

22

21

2

22

221

21

n

nnref xuxuxu

xuxxuxxuxx

)(1...

)(1

)(1

)(1

22

21

22nref xuxuxuxu

ix i i)( ixu ix

refii xxd

)()( ii dukdU

)( idu

)()()( 222refii xuxudu

nE

)()( 22refi

refin

xUxU

xxE

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Eq. 7

The was equivalent with CRV at 95% confidence level, if .

Where

CRV is Comparison Reference Value U(CRV) is uncertainty of CRV D_NMI is deviation value of each NMIs from CRV

U(D_NMI) is uncertainty of deviation value of each NMIs from CRV En ratio NMI is degree of equivalence of each NMIs result expressed in

En ratio Ue is expanded uncertainty that evaluated by each NMIs

)()( ii xukxU

)()( refref xukxU

ix refx 1nE

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9. Comparison Results The comparison results, comparison reference value (CRV), the deviation value of each NMIs from CRV as well as their uncertainty and En ratio, are calculated and shown in Table 15, Figure 2 and Figure 3 for Rockwell scale A.

Table 14 Conclusion of comparison evaluation on Rockwell hardness scale A

Comparison evaluation Nominal (HRA) 35 40 55 60 70 80 85

CRV 35.31 39.15 55.12 60.53 70.78 81.46 85.55 U(CRV) 0.18 0.21 0.17 0.17 0.17 0.17 0.17 D_NIMT 0.02 0.03 0.01 -0.01 -0.12 -0.09 -0.15

U(D_NIMT) 0.44 0.47 0.43 0.42 0.42 0.42 0.42 En ratio NIMT 0.04 0.06 0.03 -0.02 -0.29 -0.21 -0.36

D_PTB -0.14 -0.17 0.05 0.09 0.07 0.03 -0.05 U(D_PTB) 0.40 0.41 0.35 0.35 0.35 0.34 0.35

En ratio PTB -0.36 -0.41 0.13 0.27 0.20 0.08 -0.15 D_KRISS 0.24 0.25 -0.25 -0.27 -0.10 -0.14 -0.16

U(D_KRISS) 0.50 0.51 0.43 0.43 0.43 0.43 0.44 En ratio KRISS 0.47 0.48 -0.56 -0.61 -0.24 -0.32 -0.36

D_NPLI 0.00 0.01 0.10 0.07 0.07 0.10 0.25 U(D_NPLI) 0.36 0.47 0.36 0.35 0.35 0.34 0.35

En ratio NPLI -0.01 0.03 0.27 0.18 0.20 0.30 0.70

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Figure 2 Deviation from reference value of HRA measurement comparison

Figure 3 En Ratio of HRA measurement comparison

Comparison result on Rockwell hardness scale A

-1.00

-0.50

0.00

0.50

1.00

35 40 55 60 70 80 85 HRA

Dev

iatio

n fr

om C

RV

(HR

A).

D_NIMT D_PTB D_KRISS D_NPLI

Degree of equivalence expressed in En ratio

-2.00

-1.00

0.00

1.00

2.00

35 40 55 60 70 80 85HRA

En

Rat

io

En ratio NIMT En ratio PTB En ratio KRISS En ratio NPLI

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The comparison results, comparison reference value (CRV), the deviation value of each NMIs from CRV as well as their uncertainty and En ratio, are calculated and shown in Table 16, Figure 4 and Figure 5 for Rockwell scale B show

Table 15 Conclusion of comparison evaluation on Rockwell hardness scale B Nominal (HRBW) 25 30 40 50 60 70 80 90 100

KCRV 23.93 28.95 37.84 51.08 59.65 69.85 79.62 90.28 99.95 U(KCRV) 0.27 0.28 0.26 0.26 0.25 0.25 0.26 0.24 0.24 D_NIMT 0.20 -0.38 -0.08 -0.03 -0.02 -0.20 0.00 0.21 0.14

U(D_NIMT) 0.48 0.58 0.48 0.48 0.47 0.47 0.48 0.47 0.47 En ratio NIMT 0.41 -0.66 -0.16 -0.07 -0.04 -0.42 -0.01 0.45 0.31

D_PTB -0.58 -0.36 -0.19 -0.13 0.30 0.03 0.00 -0.30 -0.27 U(D_PTB) 0.62 0.60 0.58 0.57 0.60 0.58 0.61 0.56 0.56

En ratio PTB -0.94 -0.59 -0.33 -0.23 0.50 0.06 0.00 -0.54 -0.49 D_SCL 1.98 1.17 1.64 1.41 1.38 1.04 0.67 0.72 0.44

U(D_SCL) 2.02 2.02 2.02 2.02 2.02 2.02 2.02 2.01 2.01 En ratio SCL 0.98 0.58 0.82 0.70 0.68 0.52 0.33 0.36 0.22

D_KRISS -0.34 0.51 0.74 -0.08 0.14 0.32 0.24 0.09 0.15 U(D_KRISS) 0.80 0.80 0.79 0.79 0.65 0.65 0.65 0.65 0.65

En ratio KRISS -0.42 0.63 0.94 -0.10 0.22 0.50 0.37 0.14 0.23 D_NPLI 0.36 0.57 -0.20 0.18 -0.59 -0.01 -0.26 -0.14 -0.09

U(D_NPLI) 0.75 0.66 0.65 0.65 0.65 0.58 0.62 0.56 0.56 En ratio NPLI 0.48 0.86 -0.30 0.27 -0.90 -0.02 -0.42 -0.26 -0.15

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Figure 4 Deviation value of HRB measurement comparison

Figure 5 En Ratio of HRB measurement comparison

Comparison result on Rockwell hardness scale B

-2.00

-1.00

0.00

1.00

2.00

3.00

4.00

5.00

25 30 40 50 60 70 80 90 100 HRB

Dev

iatio

n fr

om C

RV

(HR

B)

D_NIMT D_PTB D_SCL D_KRISS D_NPLI

Degree of equivalence expressed in En ratio

-2.00

-1.00

0.00

1.00

2.00

25 30 40 50 60 70 80 90 100 HRB

En

Rat

io

En ratio NIMT En ratio PTB En ratio SCLEn ratio KRISS En ratio NPLI

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To ensure that the SCL’ measurement results would not effect the other results, the evaluation on Rockwell scale B was done again without SCL’s measurement results. The comparison results, comparison reference value (CRV), the deviation value of each NMIs from CRV as well as their uncertainty and En ratio, are calculated and shown in Table 17, Figure 6 and Figure 7.

Table 16 Conclusion of comparison evaluation on Rockwell hardness scale B without SCL’s results

Nominal (HRBW) 25 30 40 50 60 70 80 90 100 CRV 23.89 28.92 37.82 51.05 59.63 69.83 79.61 90.27 99.94

U(CRV) 0.27 0.29 0.26 0.26 0.26 0.25 0.26 0.24 0.24 D_NIMT 0.24 -0.35 -0.05 -0.01 0.00 -0.18 0.01 0.22 0.15

U(D_NIMT) 0.48 0.58 0.48 0.48 0.48 0.47 0.48 0.47 0.47 En ratio NIMT 0.49 -0.61 -0.10 -0.02 0.01 -0.38 0.02 0.48 0.32

D_PTB -0.54 -0.33 -0.16 -0.11 0.33 0.05 0.01 -0.29 -0.27 U(D_PTB) 0.62 0.60 0.58 0.57 0.60 0.58 0.61 0.56 0.56

En ratio PTB -0.87 -0.55 -0.28 -0.19 0.54 0.09 0.02 -0.52 -0.48 D_KRISS -0.30 0.53 0.77 -0.05 0.16 0.34 0.25 0.10 0.16

U(D_KRISS) 0.80 0.80 0.79 0.79 0.65 0.65 0.65 0.65 0.65 En ratio KRISS -0.38 0.66 0.97 -0.07 0.25 0.52 0.38 0.15 0.24

D_NPLI 0.39 0.59 -0.17 0.20 -0.57 0.00 -0.25 -0.13 -0.08 U(D_NPLI) 0.75 0.67 0.65 0.65 0.65 0.58 0.62 0.56 0.56

En ratio NPLI 0.53 0.89 -0.26 0.31 -0.87 0.01 -0.40 -0.24 -0.14

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Figure 6 Deviation value of HRB measurement comparison without SCL’s results

Figure 7 En Ratio of HRB measurement comparison without SCL’s results

Comparison result on Rockwell hardness scale B

-2.00

-1.00

0.00

1.00

2.00

25 30 40 50 60 70 80 90 100 HRB

Dev

iatio

n fr

om C

RV

(HR

B)

D_NIMT D_PTB D_KRISS D_NPLI

Degree of equivalence expressed in En ratio

-2.00

-1.00

0.00

1.00

2.00

25 30 40 50 60 70 80 90 100 HRB

En

Rat

io

En ratio NIMT En ratio PTB En ratio KRISS En ratio NPLI

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10. Discussion and Conclusion From the above comparison results, the CMC claimed by the participated NMIs in the HRA scale is reaffirmed and hence they are acceptable. Also, it can be seen from the figure 8 that the variation of hardness measurement by different NMI at the prescribed nominal values is less than 0.25HRA. This indicated that a CMC value of 0.30 HRA is possible to achieve by NMIs for hardness primary standard.

Figure 8 Variation of hardness measurement in Rockwell scale A

Similarly, the variation of hardness values measured by different NMI at the given nominal values for the HRB scale is shown in figure 9. Here, unlike in the case of HRA scale, the deviation shown in the hardness measurement is very large (0.50HRB) for the lower range of HRB values i.e. for the soft materials having nominal values less than 60HRB. However the deviation reduces to 0.20 HRB in the higher range of HRB scale, ie for the relatively harder materials having the nominal hardness value more than one. This observation strongly suggests that NMI can achieve still a lower CMC in the higher range of hardness values (>60 HRB) for hardness primary standard

Figure 9 Variation of hardness measurement in Rockwell scale B

0.00

0.05

0.10

0.15

0.20

0.25

0.30

30 40 50 60 70 80 90HRA

Dev

iatio

n (H

RA

)

Deviation Possible CMC achievement

0.000.100.200.300.400.500.600.70

20 30 40 50 60 70 80 90 100HRB

Dev

iatio

n (H

RB

)

Deviation Possible CMC achievement

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11. Measurement Report

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Measurement report of PTB Laboratory

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Annex A Data report forms Page 1/6

Report Form 1 (For Rockwell hardness scale A)

Model of hardness primary machineSerial number of hardness primary machine RNG10Manufacturer of hardness primary machine WAZAUHardness indication system LaserinterferometerTest force system Dead weightRelative error of preliminary test forceRelative uncertainty (2) of preliminary test force 5*10^-4Relative error of total test forceRelative uncertainty (2) of total test force 5*10^-4Uncertainty of depth measuring device 0.1 µmSerial number of the indenter 839The tip radius of curvature of the indenter 0.195 mmThe apex angle of cone of the indenter 119°58'The calibration and measurement capability (CMC)

0.3 HRA

Testing condition

Velocity of the indenter when reaching the surface 0.86 mm/sHolding time of preliminary test force 2.8 sTest force loading speed (final speed) 98.0 N/sTotal test force duration time 5.6 sTime before reading permanent indentation depth 4.7 s

Environment of comparison measurement

Measurement place PTBMeasurement date 2nd June 2010Environment (20 ± 1) °C

Deformation of frame verification

1 2 30.227 0.215 0.199

Metrology information

Deformation of frame (m)

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Data report forms Page 2/6

Report Form 1 (For Rockwell hardness scale B)

Model of hardness primary machineSerial number of hardness primary machine RNG10Manufacturer of hardness primary machine WAZAUHardness indication system LaserinterferometerTest force system Deth weightRelative error of preliminary test forceRelative uncertainty (2) of preliminary test force 5*10^-4Relative error of total test forceRelative uncertainty (2) of total test force 5*10^-4Uncertainty of depth measuring device 0.1 µmThe calibration and measurement capability (CMC)

0.5 HRB

Testing condition

Velocity of the indenter when reaching the surface 0.86 mm/sHolding time of preliminary test force 2.5 sTest force loading speed (final speed) 103 N/sTotal test force duration time 5.5 sTime before reading permanent indentation depth 4.8 s

Environment of comparison measurement

Measurement place PTBMeasurement date 1st June 2010Environment (20 ± 1) °C

Deformation of frame verification

1 2 30.324 0.311 0.297

Metrology information

Deformation of frame (m)

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Page 3/6Laboratory:PTB

Hardness Block Number A32517 A33781 A25568 B12037 B15871 A27761 A21048Nominal Value (HRA) 35 40 55 60 70 80 85

Section 1 34.84 38.84 54.96 60.66 70.79 81.47 85.55Section 2 35.48 39.24 55.15 60.67 70.87 81.48 85.61Section 3 34.90 38.58 55.17 60.61 70.84 81.45 85.57Section 4 35.00 39.06 55.21 60.57 70.88 81.53 85.41Section 5 34.98 39.31 55.25 60.58 70.79 81.52 85.45Section 6 35.22 39.25 55.17 60.60 70.77 81.45 85.50Section 7 35.16 38.75 55.14 60.62 70.87 81.51 85.42Section 8 35.51 38.98 55.17 60.64 70.92 81.48 85.42Section 9 35.41 38.78 55.24 60.63 70.88 81.51 85.56

Average Value 35.17 38.98 55.16 60.62 70.85 81.49 85.50Uniformity 0.67 0.73 0.29 0.10 0.15 0.08 0.20

Correction Value 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Corrected Value 35.17 38.98 55.16 60.62 70.85 81.49 85.50

Expanded uncertainty (k=2) 0.35 0.35 0.31 0.30 0.30 0.30 0.30

Report Form2 - Result of the Rockwell hardness scale A measurements (35 - 85 HRA)

date: 2nd June 2010Measuredby: Febo Menelao

Checkedby: S. Lutz

Measured value

Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

Measured

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Page 4/6Laboratory: Measured Checked Measured

PTB by: S. Lutz

measured valueHardness Block Number E1620 B30120 A31382 A32411 A33748 A34522 A35542 25566 30836Nominal Value (HRBW) 25 30 40 50 60 70 80 90 100

Section 1 23.22 28 .84 37.86 51 .05 60.13 70 .32 79.25 89 .73 99 .76 Section 2 23.34 28 .88 37.69 51 .12 60.49 70 .19 79.49 90 .03 99 .76 Section 3 22.99 28 .94 37.54 51 .05 59.94 69 .90 79.32 90 .01 99 .74 Section 4 22.76 28 .32 37.56 50 .77 59.71 69 .66 79.73 90 .01 99 .67 Section 5 23.55 28 .38 37.29 50 .87 59.46 69 .68 79.38 90 .00 99 .70 Section 6 23.38 28 .50 37.85 50 .99 59 .67 69.75 80 .24 90 .01 99.60Section 7 23.66 28.34 37 .52 50 .93 60 .04 69.80 80 .04 90 .05 99.60Section 8 23.32 28.43 37 .78 50 .82 60 .09 69.71 79 .67 90 .02 99.61Section 9 23.89 28.70 37 .78 50 .91 60 .04 69.89 79 .45 89 .96 99.65

Average Value 23.35 28 .59 37 .65 50 .95 59.95 69.88 79 .62 89 .98 99.68Uniformity 0.34 0.25 0.19 0.12 0 .30 0 .23 0.34 0 .10 0.07

Correction Value Corrected Value 23.35 28 .59 37 .65 50 .95 59.95 69.88 79 .62 89 .98 99.68

Expanded uncertainty (k= 2) 0.56 0.53 0.52 0.51 0 .54 0 .53 0.55 0 .50 0.50

Report Form3 - Result of the Rockwell hardness scale B measurements

Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

date: 1 st June 2010by: Febo Menelao

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Report Form 4 Uncertainty budget of measurement Page 5/6

Uncertainty budget for 35 HRAQuantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )Preliminary test force, F0 0.05 N 0.0289 0.2272 0.0066

Total test force, F 0.3 N 0.1732 -0.0917 -0.0159

Permanent depth of measuring device, h 0.1 µm 0.0577 0.5000 0.0289

Preliminary test force dwell time, t0 0.2 s 0.1155 0.0489 0.0056

Indentation velocity, v 10 µm/s 5.7735 -0.0102 -0.0586

Total test force dwell time, t 0.2 s 0.1155 -0.1060 -0.0122

Indenter angle, 0.1 ° 0.0577 0.1800 0.0104

Indenter radius, r 1 µm 0.5774 0.0580 0.0335

Deformation of frame, DF 0.2 µm 0.1155 0.5000 0.0577

0.0965k=2 0.19Expanded uncertainty, Ue

Combined uncertainty, u c

Estimatedvalue

x i

3i

ixxu

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Report Form 4 Uncertainty budget of measurement Page 6/6

Uncertainty budget for 25 HRBQuantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )Preliminary test force, F0 0.05 N 0.0289 0.1780 0.0051

Total test force, F 0.5 N 0.2887 -0.1160 -0.0335

Permanent depth of measuring device, h 0.1 µm 0.0577 0.5000 0.0289Preliminary test force dwell time, t0 0.2 s 0.1155 -0.0617 -0.0071

Indentation velocity, v 10 µm/s 5.7735 0.0067 0.0387

Total test force dwell time, t 0.2 s 0.1155 -0.0170 -0.0020

Indenter diameter, d 0.1 µm 0.0577 0.0098 0.0006

Deformation of frame, DF 0.3 µm 0.1732 0.5000 0.0866

0.1050k=2 0.21Expanded uncertainty, Ue

Estimatedvalue

x i

Combined uncertainty, u c

3

ii

xxu

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Measurement report of NIMT Laboratory

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Annex A Data report forms Report Form 1 (For Rockwell hardness scale A)

Metrology information Model of hardness primary machine SHT-31 Serial number of hardness primary machine 310039 Manufacturer of hardness primary machine Akashi – Japan Hardness indication system Laser hologauge Test force system Lever type Relative error of preliminary test force +0.01 % (+0.001 kgf) Relative uncertainty (2) of preliminary test force 0,030 % Relative error of total test force +0.001 % (+0.0033 kgf) Relative uncertainty (2) of total test force 0.01% Uncertainty of depth measuring device 0.2 m Serial number of the indenter 53495 The tip radius of curvature of the indenter 200m ± 4m The apex angle of cone of the indenter 120 ± 0.1 The calibration and measurement capability (CMC) 0.38 HRA

Testing condition

Velocity of the indenter when reaching the surface 80-200 m/s Holding time of preliminary test force 3 s Test force loading speed 33 s Total test force duration time 4 s Time before reading permanent indentation depth 4 s Environment of comparison measurement Measurement place Hardness lab. NIMT Measurement date 28-29 April 2010 Environment (23±1)C ,(50±10)%RH

Deformation of frame verification

Deformation of frame (m) 1 2 3

0.14 0.14 0.15

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Data report forms Report Form 1 (For Rockwell hardness scale B)

Metrology information Model of hardness primary machine SHT-31 Serial number of hardness primary machine 310039 Manufacturer of hardness primary machine Akashi - Japan Hardness indication system Laser hologauge Test force system Lever type Relative error of preliminary test force +0.01 % (+0.001 kgf) Relative uncertainty (2) of preliminary test force 0,030 % Relative error of total test force +0.01 % (+0.0057 kgf) Relative uncertainty (2) of total test force 0.01% Uncertainty of depth measuring device 0.2 m The diameter of ball indenter 1.5875 m ±2m The calibration and measurement capability (CMC) 0.40 HRB

Testing condition

Velocity of the indenter when reaching the surface 80-200 m/s Holding time of preliminary test force 3 s Test force loading speed 33 s Total test force duration time 4 s Time before reading permanent indentation depth 4 s Environment of comparison measurement Measurement place Hardness lab. NIMT Measurement date 28-23 April 2010 Environment (23±1)C ,(50±10)%RH

Deformation of frame verification

Deformation of frame (m) 1 2 3

0.11 0.13 0.11

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Page 3/5Laboratory: NIMT Measured Checked Measured

by: Mr.Nitiwat Sasom by:Mr.Tassanai Sanponpute date: 28/04/2010

Hardness Block Number A32517 A33781 25568 B12037 B15871 A27761 A21048Nominal Value (HRA) 35 40 55 60 70 80 85

Section 1 35.41 38.99 54.98 60.47 70.53 81.29 85.43Section 2 35.25 39.11 55.05 60.45 70.60 81.28 85.37Section 3 35.17 39.23 55.05 60.47 70.56 81.25 85.39Section 4 35.26 39.12 55.06 60.43 70.58 81.28 85.38Section 5 35.08 39.53 55.05 60.37 70.52 81.33 85.25Section 6 35.29 39.31 55.12 60.42 70.56 81.26 85.25Section 7 35.24 38.94 55.06 60.44 70.61 81.31 85.22Section 8 35.44 38.98 55.03 60.45 70.64 81.34 85.28Section 9 35.15 38.70 55.08 60.47 70.59 81.32 85.33

Average Value 35.25 39.10 55.05 60.44 70.58 81.30 85.32Uniformity 0.36 0.83 0.14 0.10 0.12 0.09 0.21

S.D. 0.12 0.24 0.04 0.03 0.04 0.03 0.07Correction Value 0.08 0.08 0.08 0.08 0.08 0.08 0.08Corrected Value 35.33 39.18 55.13 60.52 70.65 81.37 85.40

Expanded uncertainty (k=2) 0.40 0.43 0.39 0.39 0.39 0.38 0.39

Report Form2 - Result of the Rockwell hardness scale A measurements (35 - 85 HRA)

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Page 4/5Laboratory: NIMT Measured Checked Measured

by: Mr.Nitiwat Sasom by:Mr.Tassanai Sanponpute date: 28/04/2010

measured valueHardness Block Number E1620 B30120 A31382 A32411 A33748 A34522 A35542 25566 30836Nominal Value (HRBW) 25 30 40 50 60 70 80 90 100

Section 1 23.88 28.60 37.82 51.05 59.70 69.74 79.79 90.13 100.14Section 2 24.29 28.38 37.85 51.14 59.28 69.53 78.72 90.47 100.10Section 3 24.32 28.48 37.66 51.05 59.63 69.40 80.19 90.46 100.11Section 4 23.97 28.70 37.96 50.95 59.98 69.37 79.52 90.45 100.09Section 5 24.18 28.62 37.40 50.99 58.96 69.56 79.66 90.40 100.05Section 6 24.22 28.21 37.54 51.13 59.40 69.97 80.19 90.49 99.95Section 7 23.84 28.37 37.84 50.91 59.67 69.57 79.61 90.56 99.94Section 8 24.14 28.65 37.61 50.87 59.82 69.35 78.96 90.51 99.96Section 9 23.79 28.63 37.75 50.84 59.73 69.85 79.38 90.45 100.02

Average Value 24.07 28.52 37.71 50.99 59.57 69.59 79.56 90.44 100.04Uniformity 0.53 0.49 0.56 0.30 1.02 0.62 1.47 0.43 0.20

S.D. 0.20 0.16 0.18 0.11 0.31 0.22 0.49 0.12 0.08Correction Value 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06Corrected Value 24.13 28.57 37.77 51.05 59.63 69.65 79.61 90.49 100.10

Expanded uncertainty (k=2) 0.40 0.50 0.40 0.40 0.40 0.40 0.41 0.40 0.40

Report Form3 - Result of the Rockwell hardness scale B measurements (25-100 HRB)

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Uncertainty budget of Hardness machine at 35 HRA A32517Hardness value, HRA 35.3 1242.9 35.3 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.226 0.003Total test force, F N 0.588 0.340 -0.091 -0.031Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 0.049 0.014Indentation velocity, v mm/s-1 0.3 0.173 -0.010 -0.002Total test force dwell time, t s 1 0.289 -0.106 -0.030Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.197Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.394

Uncertainty budget of hardness measurement at 35 HRA A32517

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 35.3 0.197 1 0.197Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.041 1 0.041

Combined uncertainty, uc 0.201Measured hardness,H mh HRA 35.3 Expanded uncertainty, Ue 0.403

Uncertainty budget of Hardness machine at 40 HRA A33781Hardness value, HRA 39.1 1528.9 39.1 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.212 0.002Total test force, F N 0.588 0.340 -0.086 -0.029Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 0.044 0.013Indentation velocity, v mm/s-1 0.3 0.173 -0.009 -0.002Total test force dwell time, t s 1 0.289 -0.099 -0.029Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.196Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.393

Uncertainty budget of hardness measurement at 40 HRA A33781

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 39.1 0.196 1 0.196Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.085 1 0.085

Combined uncertainty, uc 0.214Measured hardness,H mh HRA 39.1 Expanded uncertainty, Ue 0.428

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Uncertainty budget of Hardness machine at 55 HRA 25568Hardness value, HRA 55.1 3030.9 55.1 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.153 0.002Total test force, F N 0.588 0.340 -0.064 -0.022Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 0.027 0.008Indentation velocity, v mm/s-1 0.3 0.173 -0.003 -0.001Total test force dwell time, t s 1 0.289 -0.074 -0.021Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.194Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.388

Uncertainty budget of hardness measurement at 55 HRA 25568

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 55.1 0.194 1 0.194Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.013 1 0.013

Combined uncertainty, uc 0.195Measured hardness,H mh HRA 55.1 Expanded uncertainty, Ue 0.389

Uncertainty budget of Hardness machine at 60 HRA B12037Hardness value, HRA 60.4 3653.1 60.4 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.133 0.002Total test force, F N 0.588 0.340 -0.057 -0.019Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 0.021 0.006Indentation velocity, v mm/s-1 0.3 0.173 -0.001 0.000Total test force dwell time, t s 1 0.289 -0.065 -0.019Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.194Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.387

Uncertainty budget of hardness measurement at 60 HRA B12037

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 60.4 0.194 1 0.194Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.011 1 0.011

Combined uncertainty, uc 0.194Measured hardness,H mh HRA 60.4 Expanded uncertainty, Ue 0.388

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Uncertainty budget of Hardness machine at 70 HRA B15871Hardness value, HRA 70.6 4981.1 70.6 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.095 0.001Total test force, F N 0.588 0.340 -0.043 -0.015Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 0.010 0.003Indentation velocity, v mm/s-1 0.3 0.173 0.002 0.000Total test force dwell time, t s 1 0.289 -0.049 -0.014Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.193Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.385

Uncertainty budget of hardness measurement at 70 HRA B15871

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 70.6 0.193 1 0.193Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.014 1 0.014

Combined uncertainty, uc 0.193Measured hardness,H mh HRA 70.6 Expanded uncertainty, Ue 0.386

Uncertainty budget of Hardness machine at 80 HRA A27761Hardness value, HRA 81.3 6609.0 81.3 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.055 0.001Total test force, F N 0.588 0.340 -0.028 -0.010Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 -0.002 -0.001Indentation velocity, v mm/s-1 0.3 0.173 0.006 0.001Total test force dwell time, t s 1 0.289 -0.032 -0.009Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.192Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.384

Uncertainty budget of hardness measurement at 80 HRA A27761

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 81.3 0.192 1 0.192Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.011 1 0.011

Combined uncertainty, uc 0.192Measured hardness,H mh HRA 81.3 Expanded uncertainty, Ue 0.385

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Uncertainty budget of Hardness machine at 85 HRA A21048Hardness value, HRA 85.3 7279.9 85.3 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force,F o N 0.020 0.011 0.040 0.000Total test force, F N 0.588 0.340 -0.023 -0.008Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time,to s 0.5 0.289 -0.006 -0.002Indentation velocity, v mm/s-1 0.3 0.173 0.007 0.001Total test force dwell time, t s 1 0.289 -0.025 -0.007Indenter angle, ° 0.1 0.058 0.180 0.010Indenter radius, r m 5 2.887 0.058 0.167Deformation of frame,DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRA Combined uncertainty, uc 0.192Expanded uncertainty, Ue HRA Expanded uncertainty, Ue 0.384

Uncertainty budget of hardness measurement at 85 HRA A21048

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRA 85.3 0.192 1 0.192Readability,H res HRA 0 0.003 1 0.003Repeatability of measurement, H rep HRA 0 0.027 1 0.027

Combined uncertainty, uc 0.194Measured hardness,H mh HRA 85.3 Expanded uncertainty, Ue 0.387

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Uncertainty budget of Hardness machine at 25 HRB 25Hardness value, HRB 24.1 579.4 24.1 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.180 0.002Total test force, F N 0.981 0.566 -0.117 -0.066Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 -0.069 -0.020Indentation velocity, v mm/s-1 0.3 0.173 0.007 0.001Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 0.010 0.012Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.116Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.232

Uncertainty budget of hardness measurement at 25 HRB

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 24.1 0.116 1 0.116Readability,H res HRB 0 0.003 1 0.003Repeatability of measurement, H rep HRB 0 0.072 1 0.072

Combined uncertainty, uc 0.137Measured hardness,H mh HRB 24.1 Expanded uncertainty, Ue 0.273

Uncertainty budget of Hardness machine at 30 HRB 30Hardness value, HRB 28.5 810.3 28.5 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.170 0.002Total test force, F N 0.981 0.566 -0.113 -0.064Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 -0.034 -0.010Indentation velocity, v mm/s-1 0.3 0.173 0.006 0.001Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 0.008 0.009Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.113Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.227

Uncertainty budget of hardness measurement at 30 HRB 30

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 28.5 0.113 1 0.113Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.059 1 0.059

Combined uncertainty, uc 0.128Measured hardness,H mh HRB 28.5 Expanded uncertainty, Ue 0.257

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Uncertainty budget of Hardness machine at 40 HRB 40Hardness value, HRB 37.7 1422.4 37.7 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.150 0.002Total test force, F N 0.981 0.566 -0.104 -0.059Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.029 0.008Indentation velocity, v mm/s-1 0.3 0.173 0.005 0.001Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 0.004 0.004Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.110Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.220

Uncertainty budget of hardness measurement at 40 HRB 40

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 37.7 0.110 1 0.110Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.063 1 0.063

Combined uncertainty, uc 0.128Measured hardness,H mh HRB 37.7 Expanded uncertainty, Ue 0.255

Uncertainty budget of Hardness machine at 50 HRB 50Hardness value, HRB 51.0 2600.2 51.0 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.121 0.001Total test force, F N 0.981 0.566 -0.092 -0.052Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.093 0.027Indentation velocity, v mm/s-1 0.3 0.173 0.003 0.001Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.003 -0.003Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.110Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.219

Uncertainty budget of hardness measurement at 50 HRB 50

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 51.0 0.110 1 0.110Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.039 1 0.039

Combined uncertainty, uc 0.117Measured hardness,H mh HRB 51.0 Expanded uncertainty, Ue 0.234

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Uncertainty budget of Hardness machine at 60 HRB 60Hardness value, HRB 59.6 3549.1 59.6 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.102 0.001Total test force, F N 0.981 0.566 -0.084 -0.048Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.118 0.034Indentation velocity, v mm/s-1 0.3 0.173 0.002 0.000Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.007 -0.008Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.110Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.220

Uncertainty budget of hardness measurement at 60 HRB 60

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 59.6 0.110 1 0.110Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.110 1 0.110

Combined uncertainty, uc 0.156Measured hardness,H mh HRB 59.6 Expanded uncertainty, Ue 0.313

Uncertainty budget of Hardness machine at 70 HRB 70Hardness value, HRB 69.6 4843.2 69.6 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.080 0.001Total test force, F N 0.981 0.566 -0.075 -0.042Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.130 0.037Indentation velocity, v mm/s-1 0.3 0.173 0.000 0.000Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.012 -0.014Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.109Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.219

Uncertainty budget of hardness measurement at 70 HRB 70

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 69.6 0.109 1 0.109Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.078 1 0.078

Combined uncertainty, uc 0.135Measured hardness,H mh HRB 69.6 Expanded uncertainty, Ue 0.270

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Uncertainty budget of Hardness machine at 80 HRB 80Hardness value, HRB 79.6 6329.4 79.6 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.058 0.001Total test force, F N 0.981 0.566 -0.066 -0.037Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.123 0.036Indentation velocity, v mm/s-1 0.3 0.173 -0.001 0.000Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.017 -0.020Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.108Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.215

Uncertainty budget of hardness measurement at 80 HRB 80

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 79.6 0.108 1 0.108Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.176 1 0.176

Combined uncertainty, uc 0.207Measured hardness,H mh HRB 79.6 Expanded uncertainty, Ue 0.414

Uncertainty budget of Hardness machine at 90 HRB 90Hardness value, HRB 90.4 8178.6 90.4 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.034 0.000Total test force, F N 0.981 0.566 -0.056 -0.032Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.096 0.028Indentation velocity, v mm/s-1 0.3 0.173 -0.002 0.000Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.022 -0.026Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.105Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.210

Uncertainty budget of hardness measurement at 90 HRB 90

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 90.4 0.105 1 0.105Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.044 1 0.044

Combined uncertainty, uc 0.115Measured hardness,H mh HRB 90.4 Expanded uncertainty, Ue 0.229

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Uncertainty budget of Hardness machine at 100 HRB 100Hardness value, HRB 100.0 10008.0 100.0 1

Quantity Unit Estimated Standard Sensitivity Uncertaintyerror value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Preliminary test force, Fo N 0.020 0.011 0.013 0.000Total test force, F N 0.981 0.566 -0.047 -0.027Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058Preliminary test force dwell time, to s 0.5 0.289 0.054 0.016Indentation velocity, v mm/s-1 0.3 0.173 -0.004 -0.001Total test force dwell time, t s 1 0.289 -0.017 -0.005Indenter ball diameter, d m 2 1.155 -0.027 -0.031Deformation of frame, DF m 0.25 0.144 0.500 0.072Combined uncertainty, uc HRB Combined uncertainty, uc 0.102Expanded uncertainty, Ue HRB Expanded uncertainty, Ue 0.205

Uncertainty budget of hardness measurement at 100 HRB 100

Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution

Xi xi u(xi) ci ui(H)Hardness machine, H phm HRB 100.0 0.102 1 0.102Readability,H res HRB 0 0.014 1 0.014Repeatability of measurement, H rep HRB 0 0.027 1 0.027

Combined uncertainty, uc 0.107Measured hardness,H mh HRB 100.0 Expanded uncertainty, Ue 0.214

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Measurement report of KRISS Laboratory

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Annex A Data report forms Page1/5

Report Form 1 (For Rockwell hardness scale A)

Model of hardness primary machine SHT-31Serial number of hardness primary machine 310037Manufacturer of hardness primary machine AkashiHardness indication system Laser HologaugeTest force system LeverRelative error of preliminary test force -0.104%Relative uncertainty (2) of preliminary test force 0.099%Relative error of total test force -0.017%Relative uncertainty (2) of total test force 0.026%Uncertainty of depth measuring device 0.12 ㎛Serial number of the indenter 54160The tip radius of curvature of the indenter 202.3 ㎛The apex angle of cone of the indenter 119.99°The calibration and measurement capability (CMC) 0.4 HRA

Testing condition

Velocity of the indenter when reaching the surface 25㎛/s ~ 37㎛/sHolding time of preliminary test force 3.0 secTest force loading speed 5.0 secTotal test force duration time 4.0 secTime before reading permanent indentation depth 1.0 sec

Environment of comparison measurement

Measurement place KRISSMeasurement date Sep. 30, 2010Environment 23 °C, 43% R.H.

Deformation of frame verification

1 2 3-0.2 -0.2 -0.2

Metrology information

Deformation of frame (m)

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Data report forms Page 2/5

Report Form 1 (For Rockwell hardness scale B)

Model of hardness primary machine SHT-31Serial number of hardness primary machine 310037Manufacturer of hardness primary machine AkashiHardness indication system Laser HologaugeTest force system LeverRelative error of preliminary test force 0.166%Relative uncertainty (2) of preliminary test force 0.126%Relative error of total test force 0.025%Relative uncertainty (2) of total test force 0.030%Uncertainty of depth measuring device 0.12 ㎛The calibration and measurement capability (CMC) 0.6 HRBW

Testing condition

Velocity of the indenter when reaching the surface 25㎛/s ~ 37㎛/sHolding time of preliminary test force 3.0 secTest force loading speed 5.0 secTotal test force duration time 4.0 secTime before reading permanent indentation depth 1.0 sec

Environment of comparison measurement

Measurement place KRISSMeasurement date Sep. 30, 2010Environment 23 °C, 43% R.H.

Deformation of frame verification

1 2 3-0.2 -0.2 -0.2

Metrology information

Deformation of frame (m)

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Page 3/5Laboratory: KRISS Measured Checked

by: N.H. Tak by: G.W. Bahng

Hardness Block Number A32517 A33781 25568 B12037 B15871 A27761 A21048Nominal Value (HRA) 35 40 55 60 70 80 85

Section 1 36.4 40.0 54.7 60.2 70.7 81.2 85.5 Section 2 35.4 39.2 54.9 60.2 70.8 81.4 85.5 Section 3 35.6 39.9 55.0 60.4 70.8 81.4 85.5 Section 4 35.6 39.3 55.0 60.4 70.7 81.3 85.4 Section 5 35.4 39.7 54.9 60.3 70.7 81.4 85.5 Section 6 35.6 39.3 55.0 60.4 70.6 81.4 85.3 Section 7 35.3 39.3 54.8 60.3 70.8 81.4 85.5 Section 8 35.4 39.0 54.9 60.3 70.7 81.4 85.4 Section 9 35.5 39.1 54.9 60.2 70.6 81.4 85.3

Average Value 35.58 39.42 54.90 60.30 70.71 81.36 85.43Uniformity 1.1 1.0 0.3 0.2 0.2 0.2 0.2

Repeatability 0.12 0.13 0.04 0.03 0.03 0.02 0.03 Correction Value -0.03 -0.03 -0.03 -0.04 -0.04 -0.04 -0.04Corrected Value 35.55 39.39 54.87 60.26 70.67 81.32 85.39

Expanded uncertainty (k=2) 0 .46 0.47 0.40 0.40 0.40 0 .40 0.40 Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

Report Form2 - Result of the Rockwell hardness scale A measurements (35 - 85 HRA)

date: SEP 30 , 2010

Measured value

Measured

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Page 4/5Laboratory: KRISS Measured Checked Measured

by: N.H. Tak by: G.W. Bahng

measured valueHardness Block Number E1620 B30120 A31382 A32411 A33748 A34522 A35542 25566 30836Nominal Value (HRBW) 25 30 40 50 60 70 80 90 100

Section 1 22.7 29.6 38.7 52.1 59.6 70.5 79.8 90.7 100.0Section 2 22.8 29.4 38.7 50.9 59.8 70.0 79.2 90.3 100.2Section 3 23.1 29.2 38.4 51.0 59.4 70.0 80.2 90.3 100.1Section 4 23.8 29.5 38.6 50.9 59.7 70.0 79.8 90.3 100.1Section 5 24.3 29.6 38.8 51.0 59.8 70.3 79.7 90.3 100.2Section 6 23.9 29.6 38.4 51.0 59.9 70.9 80.5 90.4 100.1Section 7 24.1 29.6 38.8 50.8 60.0 69.9 79.3 90.4 100.1Section 8 23.7 29.4 38.4 50.7 60.2 70.0 80.5 90.3 100.1Section 9 23.9 29.2 38.5 50.6 59.7 69.9 79.7 90.3 100.0

Average Value 23.59 29.46 38.59 51.00 59.79 70.17 79.86 90.37 100.10 Uniformity 1.6 0.4 0.4 1.5 0.8 1.0 1.3 0.4 0.2

R epeatability 0.21 0.06 0.06 0.16 0.08 0.12 0.17 0.05 0.03 Correction ValueCorrected Value 23.59 29 .46 38 .59 51.00 59 .79 70.17 79 .86 90.37 100.10

Expanded uncertainty (k=2) 0.75 0.75 0.75 0.75 0.60 0.60 0.60 0.60 0.60 Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

Report Form3 - Result of the Rockwell hardness scale B measurements (25-100 HRB )

date: SEP 30, 2010

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Report Form 4 Uncertainty budget of measurement Page 5/535 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.2272 0.01212 Total test force 0.16 N 0.09 -0.09165 -0.00853 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0489 0.01415 Indentation velocity 6 ㎛/s 3.46 -0.01015 -0.03526 Total test force dwell time 0.5 s 0.29 -0.106 -0.03067 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10Long-term stability of primary hardness testing machine 0.24 HRA 0.14 1 0.1386

11 Combined uncertainty(HRA) 0.19812 Expanded uncertainty(HRA), k=2 0.40

40 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.2086 0.01112 Total test force 0.16 N 0.09 -0.0848 -0.00783 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0434 0.01255 Indentation velocity 6 ㎛/s 3.46 -0.0084 -0.02916 Total test force dwell time 0.5 s 0.29 -0.098 -0.02837 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10 Long-term stability of primary hardness testing machine 0.24 HRA 0.14 1 0.1386

11 Combined uncertainty(HRA) 0.19712 Expanded uncertainty(HRA), k=2 0.39

55 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.1528 0.00812 Total test force 0.16 N 0.09 -0.06425 -0.00593 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0269 0.00785 Indentation velocity 6 ㎛/s 3.46 -0.00315 -0.01096 Total test force dwell time 0.5 s 0.29 -0.074 -0.02147 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10 Long-term stability of primary hardness testing machine 0.24 HRA 0.14 1 0.1386

11 Combined uncertainty(HRA) 0.19312 Expanded uncertainty(HRA), k=2 0.39

Uncertainty budget for

Uncertainty budget for

Uncertainty budget for

3

ii

xxu

3

ii

xxu

3

ii

xxu

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60 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.1342 0.00712 Total test force 0.16 N 0.09 -0.0574 -0.00533 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0214 0.00625 Indentation velocity 6 ㎛/s 3.46 -0.0014 -0.00486 Total test force dwell time 0.5 s 0.29 -0.066 -0.01917 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10Long-term stability of primary hardness testing machine 0.23 HRA 0.13 1 0.1328

11 Combined uncertainty(HRA) 0.18912 Expanded uncertainty(HRA), k=2 0.38

70 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.097 0.00522 Total test force 0.16 N 0.09 -0.0437 -0.00403 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0104 0.00305 Indentation velocity 6 ㎛/s 3.46 0.0021 0.00736 Total test force dwell time 0.5 s 0.29 -0.05 -0.01447 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10Long-term stability of primary hardness testing machine 0.23 HRA 0.13 1 0.1328

11 Combined uncertainty(HRA) 0.18812 Expanded uncertainty(HRA), k=2 0.38

80 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.0598 0.00322 Total test force 0.16 N 0.09 -0.03 -0.00283 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 -0.0006 -0.00025 Indentation velocity 6 ㎛/s 3.46 0.0056 0.01946 Total test force dwell time 0.5 s 0.29 -0.034 -0.00987 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10Long-term stability of primary hardness testing machine 0.20 HRA 0.12 1 0.1155

11 Combined uncertainty(HRA) 0.17712 Expanded uncertainty(HRA), k=2 0.35

Uncertainty budget for

Uncertainty budget for

Uncertainty budget for

3

ii

xxu

3

ii

xxu

3

ii

xxu

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85 HRA

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.09 N 0.05 0.0412 0.00222 Total test force 0.16 N 0.09 -0.02315 -0.00213 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 -0.0061 -0.00185 Indentation velocity 6 ㎛/s 3.46 0.00735 0.02556 Total test force dwell time 0.5 s 0.29 -0.026 -0.00757 indenter angle 0.04 ° 0.02 0.18 0.00428 Indenter radius 3.1 ㎛ 1.79 0.058 0.10389 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

10 Long-term stability of primary hardness testing machine 0.20 HRA 0.12 1 0.1155

11 Combined uncertainty(HRA) 0.17812 Expanded uncertainty(HRA), k=2 0.36

Uncertainty budget for

3

ii

xxu

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Report Form 4 Uncertainty budget of measurement Page 5/5

25 HRBW

No QuantityEstimated

valusxi

Unit Stadard uncertatinty

Sensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.178 0.01032 Total test force 0.26 N 0.15 -0.116 -0.01743 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 -0.06165 -0.01785 Indentation velocity 6 ㎛/s 3.46 0.0067 0.02326 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 0.00975 0.01138 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.45 HRBW 0.26 1 0.2598

10 Comdined uncertainty(HRBW) 0.27511 Expanded uncertainty(HRBW), k=2 0.55

30 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.167 0.00962 Total test force 0.26 N 0.15 -0.1114 -0.01673 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 -0.0224 -0.00655 Indentation velocity 6 ㎛/s 3.46 0.006 0.02086 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 0.0073 0.00848 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.45 HRBW 0.26 1 0.2598

10 Comdined uncertainty(HRBW) 0.27411 Expanded uncertainty(HRBW), k=2 0.55

40 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.145 0.00842 Total test force 0.26 N 0.15 -0.1022 -0.01533 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0426 0.01235 Indentation velocity 6 ㎛/s 3.46 0.0046 0.01596 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 0.0024 0.00288 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.43 HRBW 0.25 1 0.2483

10 Comdined uncertainty(HRBW) 0.26311 Expanded uncertainty(HRBW), k=2 0.53

Uncertainty budget for

Uncertainty budget for

Uncertainty budget for

3

ii

xxu

3

ii

xxu

3

ii

xxu

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50 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.123 0.00712 Total test force 0.26 N 0.15 -0.093 -0.01403 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0896 0.02595 Indentation velocity 6 ㎛/s 3.46 0.0032 0.01116 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.0025 -0.00298 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.43 HRBW 0.25 1 0.2483

10 Comdined uncertainty(HRBW) 0.26311 Expanded uncertainty(HRBW), k=2 0.53

60 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.101 0.00582 Total test force 0.26 N 0.15 -0.0838 -0.01263 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.1186 0.03425 Indentation velocity 6 ㎛/s 3.46 0.0018 0.00626 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.0074 -0.00858 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.35 HRBW 0.20 1 0.2021

10 Comdined uncertainty(HRBW) 0.22111 Expanded uncertainty(HRBW), k=2 0.44

70 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.079 0.00462 Total test force 0.26 N 0.15 -0.0746 -0.01123 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.1296 0.03745 Indentation velocity 6 ㎛/s 3.46 0.0004 0.00146 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.0123 -0.01428 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.35 HRBW 0.20 1 0.2021

10 Comdined uncertainty(HRBW) 0.22211 Expanded uncertainty(HRBW), k=2 0.44

Uncertainty budget for

Uncertainty budget for

Uncertainty budget for

3

ii

xxu

3

ii

xxu

3

ii

xxu

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80 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.057 0.00332 Total test force 0.26 N 0.15 -0.0654 -0.00983 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.1226 0.03545 Indentation velocity 6 ㎛/s 3.46 -0.001 -0.00356 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.0172 -0.01998 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.35 HRBW 0.20 1 0.2021

10 Comdined uncertainty(HRBW) 0.22211 Expanded uncertainty(HRBW), k=2 0.44

90 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.035 0.00202 Total test force 0.26 N 0.15 -0.0562 -0.00843 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0976 0.02825 Indentation velocity 6 ㎛/s 3.46 -0.0024 -0.00836 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.0221 -0.02558 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.34 HRBW 0.20 1 0.1963

10 Comdined uncertainty(HRBW) 0.21611 Expanded uncertainty(HRBW), k=2 0.43

100 HRBW

No Quantity Estimatedvalus Unit Stadard

uncertatintySensitivitycoefficient

Uncertaintycontribution

X i x i C i u i (H )1 Preliminary test force 0.10 N 0.06 0.013 0.00082 Total test force 0.26 N 0.15 -0.047 -0.00713 Permanent depth of indentation 0.2 ㎛ 0.12 -0.5 -0.05774 Preliminary test force dwell time 0.5 s 0.29 0.0546 0.01585 Indentation velocity 6 ㎛/s 3.46 -0.0038 -0.01326 Total test force dwell time 0.5 s 0.29 -0.017 -0.00497 indenter ball diameter 2.0 ㎛ 1.15 -0.027 -0.03128 Deformation of frame 0.2 ㎛ 0.12 0.5 0.0577

9Long-term stability of primary hardness testing machine 0.34 HRBW 0.20 1 0.1963

10 Comdined uncertainty(HRBW) 0.21611 Expanded uncertainty(HRBW), k=2 0.43

Uncertainty budget for

Uncertainty budget for

Uncertainty budget for

3

ii

xxu

3

ii

xxu

3

ii

xxu

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Measurement report of NPLI Laboratory

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Annex A Data report forms Page1/5

Report Form 1 (For Rockwell hardness scale A)

Metrology informationModel of hardness primary machineSerial number of hardness primary machineManufacturer of hardness primary machineHardness indication systemTest force system

Relative error of preliminary test forceRelative uncertainty (2) of preliminary test forceRelative error of total test forceRelative uncertainty (2) of total test forceUncertainty of depth measuring deviceSerial number of the indenterThe tip radius of curvature of the indenter The apex angle of cone of the indenter The calibration and measurement capability (CMC)

Testing condition

Velocity of the indenter when reaching the surfaceHolding time of preliminary test forceTest force loading speedTotal test force duration timeTime before reading permanent indentation depth

Environment of comparison measurement

Measurement placeMeasurement dateEnvironment

Deformation of frame verification

1 2 30.2 0.2 0.2

HSM HR/HV 2007-072007/07LTF, Italy

0.00010.00020.00010.0002

3s

20ppm4865197.3 µm

119.96o

0.3 HRA

Deformation of frame (m)

Laser Interferometer systemDead Weight System-Operated by controlled speed Servomoter

NPL, New Delhi25-10-10

Temp. (23±1)oC, Humidity (50±10)%

0.1mm/s2s30µm/s4s

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Data report forms Page 2/5

Report Form 1 (For Rockwell hardness scale B)

Metrology informationModel of hardness primary machineSerial number of hardness primary machineManufacturer of hardness primary machineHardness indication systemTest force system

Relative error of preliminary test forceRelative uncertainty (2) of preliminary test forceRelative error of total test forceRelative uncertainty (2) of total test forceUncertainty of depth measuring deviceThe calibration and measurement capability (CMC)

Testing condition

Velocity of the indenter when reaching the surfaceHolding time of preliminary test forceTest force loading speedTotal test force duration timeTime before reading permanent indentation depth

Environment of comparison measurement

Measurement placeMeasurement dateEnvironment

Deformation of frame verification

1 2 30.3 0.3 0.3

Temp. (23±1)oC, Humidity (50±10)%

0.6 HRBW for nominal not more than 60 HRB0.5 HRBW for nominal more than 60 HRB

0.1mm/s2s30µm/s4s

20ppm

3s

NPL, New Delhi29-10-10

Deformation of frame (m)

Laser Interferometer systemDead Weight System-Operated by controlled speed Servomoter

HSM HR/HV 2007-072007/07LTF, Italy

0.00010.00020.00010.0002

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Page 3/5Laboratory: Measured CheckedNational Physical Laboratory by: Dr.S.S.K.Titus by: Dr.S.K.Jain

Hardness Block Number A32517 A33781 25568 B12037 B15871 A27761 A21048Nominal Value (HRA) 35 40 55 60 70 80 85

Section 1 35.48 38.49 55.46 60.74 70.66 81.54 85.91Section 2 35.47 38.42 55.31 60.77 70.79 81.55 85.94Section 3 35.31 39.34 55.14 60.46 70.88 81.57 85.87Section 4 35.16 39.26 55.29 60.45 70.88 81.55 85.68Section 5 35.12 39.51 55.33 60.53 70.91 81.55 85.80Section 6 35.28 39.36 55.19 60.56 70.90 81.56 85.78Section 7 35.34 39.41 55.09 60.63 70.80 81.57 85.72Section 8 35.20 39.46 54.98 60.55 70.85 81.49 85.67Section 9 35.40 39.19 55.13 60.63 70.94 81.68 85.81

Average Value 35.31 39.16 55.21 60.59 70.85 81.56 85.80Uniformity 0.36 1.09 0.48 0.32 0.28 0.19 0.27

Correction Value Nil Nil Nil Nil Nil Nil NilCorrected Value 35.31 39.16 55.21 60.59 70.85 81.56 85.80

Expanded uncertainty (k=2) 0.31 0.42 0.32 0.31 0.31 0.30 0.31

Report Form2 - Result of the Rockwell hardness scale A measurements (35 - 85 HRA)

Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

date: 25-10-2010

Measured value

Measured

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Page 4/5Laboratory: Measured Checked National Physical Laboratory by: Dr.S.S.K.Titus by: Dr.S.K.Jain

measured valueHardness Block Number E1620 B30120 A31382 A 32411 A33748 A28422 A35542 25566 30836

Nominal Value (HRB) 25 30 40 50 60 70 80 90 100

Section 1 23 . 14 29.67 37.14 51. 41 59.32 69.76 79. 09 90. 12 99.96Section 2 23 . 56 29.45 37.38 51. 11 59.13 70.23 78. 89 90. 05 99.87Section 3 23 . 59 29.43 36.90 51. 50 59.19 69.97 79. 80 90. 09 100 .08 Section 4 24 . 21 29.53 37.70 51. 33 58.83 69.64 79. 41 90. 14 99.87Section 5 24 . 77 29.74 37.82 51. 49 58.88 69.93 79. 66 90. 03 99.80Section 6 24 . 83 29.58 37.67 51. 21 58.71 69.82 79. 85 90. 06 99.84Section 7 24 . 70 29.26 37.87 51. 24 59.35 69.73 79. 32 90. 38 99.85Section 8 24 . 89 29.47 38.10 51. 23 58.84 69.91 79. 33 90. 16 99.76Section 9 24 . 86 29.52 38.24 50. 80 59.28 69.50 78. 85 90. 18 99.76

Average Value 24 . 28 29. 52 37.65 51. 26 59. 06 69.83 79. 36 90. 13 99.87Uniformity 1.75 0.48 1.34 0.70 0.64 0.73 1.00 0.35 0.32

Correction Value Nil Nil Nil Nil Nil Nil Nil Nil NilCorrected Value 24 . 28 29. 52 37.65 51. 26 59. 06 69.83 79. 36 90. 13 99.87

Expanded uncertainty (k=2) 0 . 70 0.60 0.60 0 . 60 0. 60 0.52 0.56 0. 51 0. 51

Report Form 3 - Result of the Rockwell hardness scale B measurements ( 25- 100 HRB)

date: 29-10-2010Measured

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Report Form 4 Uncertainty budget of measurement Page 5/5

Uncertainty budget for ___ HRA 35 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )Primary Hardness machine Hphs 0.3 0.15 0.15 1 0.150Res. Of Primary Hardness machine Hres 0.01 0.005 0.003 1 0.003Repeatability of measurement Hrep 0.09 0.045 0.045 1 0.045Combined uncertainty, u c 0.157

Expanded uncertainty, Ue k=2 0.31

Uncertainty budget for ___ HRA 85 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Primary Hardness machine Hphs 0.3 0.15 0.15 1 0.150Res. Of Primary Hardness machine Hres 0.01 0.005 0.003 1 0.003Repeatability of measurement Hrep 0.07 0.035 0.035 1 0.035Combined uncertainty, u c 0.154Expanded uncertainty, Ue k=2 0.31

value

Dx i

Estimatedvalue

Dx i

Estimated

3

ii

xxu

3

ii

xxu

3i

ixxu

3

ii

xxu

3i

ixxu

3

ii

xxu

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Uncertainty budget for ___ HRB 25 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )Primary Hardness machine Hphs 0.5 0.25 0.25 1 0.250Res. Of Primary Hardness machine Hres 0.01 0.005 0.003 1 0.003Repeatability of measurement Hrep 0.16 0.08 0.08 1 0.080Combined uncertainty, u c 0.263Expanded uncertainty, Ue k=2 0.53

Uncertainty budget for ___ HRB 100 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )Primary Hardness machine Hphs 0.5 0.25 0.25 1 0.250Res. Of Primary Hardness machine Hres 0.01 0.005 0.003 1 0.003Repeatability of measurement Hrep 0.07 0.035 0.035 1 0.035Combined uncertainty, u c 0.252Expanded uncertainty, Ue k=2 0.50

Dx i

Estimatedvalue

Dx i

Estimatedvalue

3

ii

xxu

3

ii

xxu

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Uncertainty Budget, HRA A32517 A33781 25568 B12037 B15871 A27761 A2104835 40 55 60 70 80 85

Primary Hardness machine Hphs 0.15 0.15 0.15 0.15 0.15 0.15 0.15Res. of Primary Hardness machine Hres 0.01 0.01 0.01 0.01 0.01 0.01 0.01Repeatability of measurement Hrep 0.05 0.15 0.05 0.04 0.03 0.02 0.03Calculated_Ue 0.31 0.42 0.32 0.31 0.31 0.30 0.31CMC 0.30 0.30 0.30 0.30 0.30 0.30 0.30

Expanded uncertainty, Ue 0.31 0.42 0.32 0.31 0.31 0.30 0.31

Uncertainty Budget, HRB E1620 B30120 A31382 A32411 A33748 A28422 A35542 25566 3083625 30 40 50 60 70 80 90 100

Primary Hardness machine Hphs 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25 0.25Res. of Primary Hardness machine Hres 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01Repeatability of measurement Hrep 0.24 0.05 0.16 0.08 0.09 0.07 0.13 0.04 0.04Calculated_Ue 0.70 0.51 0.59 0.52 0.53 0.52 0.56 0.51 0.51CMC 0.60 0.60 0.60 0.60 0.60 0.50 0.50 0.50 0.50Expanded uncertainty, Ue 0.70 0.60 0.60 0.60 0.60 0.52 0.56 0.51 0.51

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Measurement report of SCL Laboratory

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Data report forms

Report Form 1 (For Rockwell hardness scale B)

Model of hardness primary machine 8150TK (Note 1)Serial number of hardness primary machine 093925 (Note 1)Manufacturer of hardness primary machine Indentec (Note 1)Hardness indication system Length transducerTest force system DeadweightRelative error of preliminary test force 0.0 %Relative uncertainty (2s) of preliminary test force 1.0 %Relative error of total test force 0.0 %Relative uncertainty (2s) of total test force 0.1 %Uncertainty of depth measuring device 3 umThe calibration and measurement capability (CMC) 1.5 HRBS (Note 2)

Velocity of the indenter when reaching the surface NA*Holding time of preliminary test force 6.4 sTest force loading speed 88 um/sTotal test force duration time 4.7 sTime before reading permanent indentation depth NA*

Measurement place SCL Hong KongMeasurement date 3 August 2010

(20 ± 1) oC(50 ± 8) %RH(991 ± 3) hPa

1 2 30.7 0.9 0.8

Metrology information

Deformation of frame (um)

Testing condition

Environment of comparison measurement

Deformation of frame verification

Environment

Note 1: The machine is not a primary hardness machine, but a commercial hardness machine.Note 2: This CMC has not been submitted to APMP TCM for approval yet.

* SCL hardness machine equips with a non-motorised leadscrew loading system with upward motion driven manually.

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Laboratory: Standards and Calibration Laboratory Measured Checked Measuredby:K.H.Chan

by:T.K.Chan

date:3 Aug 2010

Measured ValueHardness Block Number E1620 B30120 A31382 A32411 A33748 A34522 A35542 25566 30836Nominal Value (HRB) 25 30 40 50 60 70 80 90 100

Section 1 26.75 31.30 40.25 53.30 61.95 71.60 81.05 91.55 100.95Section 2 26.65 31.45 40.05 53.20 61.60 71.35 80.90 91.55 100.95Section 3 27.00 30.95 40.45 52.95 61.60 71.50 81.55 91.40 101.00Section 4 26.60 30.70 40.10 52.90 61.15 71.50 80.30 91.45 100.90Section 5 25.95 30.50 39.50 52.60 61.15 71.20 80.35 91.50 100.85Section 6 26.70 30.15 39.75 52.80 61.35 71.20 81.20 91.50 100.85Section 7 25.85 29.05 40.00 53.00 61.75 71.20 80.50 91.50 100.85Section 8 26.60 30.75 40.30 53.05 61.90 71.50 80.90 91.60 100.90Section 9 25.60 30.70 39.50 53.10 61.30 71.40 80.35 91.45 100.80

Average Value 26.41 30.62 39.99 52.99 61.53 71.38 80.79 91.50 100.89Uniformity 1.40 2.40 0.95 0.70 0.80 0.40 1.25 0.20 0.20

Correction Value -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50 -0.50# Corrected Value (HRBW) 25.91 30.12 39.49 52.49 61.03 70.88 80.29 91.00 100.39Expanded uncertainty (k=2) 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00 2.00

# Using 1/16" carbide indenter ball and depth measurement probe.Remark: In case of the participant made an incorrect indentation or is unsure about the measurement value, please report to the pilot institute.

Report Form 3 - Result of the Rockwell hardness scale B measurements (25-100 HRB)

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Report Form 4 Uncertainty budget of measurement

Uncertainty budget for 25 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.178 0.103Total test force, F 1.0 N 0.58 -0.1160 -0.067Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 -0.0617 -0.018

Indentation velocity, v 3.0 um/s 1.73 0.0067 0.012Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 0.0098 0.010Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.913Expanded uncertainty, Ue 1.9

Estimatedvalue

Dx i 3

ii

xxu

Uncertainty budget for 30 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.167 0.096Total test force, F 1.0 N 0.58 -0.1114 -0.064Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 -0.0224 -0.006

Indentation velocity, v 3.0 um/s 1.73 0.0060 0.010Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 0.0073 0.007Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.912Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

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Uncertainty budget for 40 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.145 0.084Total test force, F 1.0 N 0.58 -0.1022 -0.059Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.0426 0.012

Indentation velocity, v 3.0 um/s 1.73 0.0046 0.008Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 0.0024 0.002Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.910Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

Uncertainty budget for 50 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.123 0.071Total test force, F 1.0 N 0.58 -0.0930 -0.054Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.0896 0.026

Indentation velocity, v 3.0 um/s 1.73 0.0032 0.006Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0025 -0.002Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.909Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

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Uncertainty budget for 60 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.101 0.058Total test force, F 1.0 N 0.58 -0.0838 -0.048Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.1186 0.034

Indentation velocity, v 3.0 um/s 1.73 0.0018 0.003Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0074 -0.007Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.908Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

Uncertainty budget for 70 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.079 0.046Total test force, F 1.0 N 0.58 -0.0746 -0.043Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.1296 0.037

Indentation velocity, v 3.0 um/s 1.73 0.0004 0.001Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0123 -0.012Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.907Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

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Uncertainty budget for 80 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.057 0.033Total test force, F 1.0 N 0.58 -0.0654 -0.038Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.1226 0.035

Indentation velocity, v 3.0 um/s 1.73 -0.0010 -0.002Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0172 -0.017Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.906Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

Uncertainty budget for 90 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.035 0.020Total test force, F 1.0 N 0.58 -0.0562 -0.032Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.0976 0.028

Indentation velocity, v 3.0 um/s 1.73 -0.0024 -0.004Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0221 -0.022Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.906Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

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Uncertainty budget for 100 HRB 55Quantity Standard Sensitivity Uncertainty

uncertainty coefficient contribution

X i C i u i (H )

Preliminary test force, Fo 1.0 N 0.58 0.013 0.008Total test force, F 1.0 N 0.58 -0.0470 -0.027Permanent depth ofindentation, h 3.0 um 1.73 -0.5 -0.866

Preliminary test forcedwell time, to

0.5 s 0.29 0.0546 0.016

Indentation velocity, v 3.0 um/s 1.73 -0.0038 -0.007Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005Indenter ball diameter, d 1.7 um 0.98 -0.0270 -0.027Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260

Combined uncertainty, u c k=2 0.905Expanded uncertainty, Ue 1.8

Estimatedvalue

Dx i 3

ii

xxu

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12. References [1] ISO 6508-3: Metallic materials-Rockwell hardness test-Part 3: Calibration of reference blocks (scales A, B, C, D, E, F, G, H, K, N, T) [2] Technical Proposal of APMP Comparison in HRA and HRB, piloted by National Institute of Metrology (Thailand).