APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM
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APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM

APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM

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Revision: ong>Finalong> ong>Reportong> Date: May 25, 2012 Uncertainty budget of Hardness machine at 85 HRA A21048 Hardness value, HRA 85.3 7279.9 85.3 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.040 0.000 Total test force, F N 0.588 0.340 -0.023 -0.008 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time,to s 0.5 0.289 -0.006 -0.002 Indentation velocity, v mm/s -1 0.3 0.173 0.007 0.001 Total test force dwell time, t s 1 0.289 -0.025 -0.007 Indenter angle, ° 0.1 0.058 0.180 0.010 Indenter radius, r m 5 2.887 0.058 0.167 Deformation of frame,DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRA Combined uncertainty, uc 0.192 Expanded uncertainty, U e 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 X i x i u(x i) c i u i(H) Hardness machine, H phm HRA 85.3 0.192 1 0.192 Readability,H res HRA 0 0.003 1 0.003 Repeatability of measurement, H rep HRA 0 0.027 1 0.027 Combined uncertainty, uc 0.194 Measured hardness,H mh HRA 85.3 Expanded uncertainty, Ue 0.387 Page 44 of 77

Revision: ong>Finalong> ong>Reportong> Date: May 25, 2012 Uncertainty budget of Hardness machine at 25 HRB 25 Hardness value, HRB 24.1 579.4 24.1 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.180 0.002 Total test force, F N 0.981 0.566 -0.117 -0.066 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 -0.069 -0.020 Indentation velocity, v mm/s -1 0.3 0.173 0.007 0.001 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 0.010 0.012 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.116 Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.232 Uncertainty budget of hardness measurement at 25 HRB Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 24.1 0.116 1 0.116 Readability,H res HRB 0 0.003 1 0.003 Repeatability of measurement, H rep HRB 0 0.072 1 0.072 Combined uncertainty, uc 0.137 Measured hardness,H mh HRB 24.1 Expanded uncertainty, Ue 0.273 Uncertainty budget of Hardness machine at 30 HRB 30 Hardness value, HRB 28.5 810.3 28.5 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.170 0.002 Total test force, F N 0.981 0.566 -0.113 -0.064 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 -0.034 -0.010 Indentation velocity, v mm/s -1 0.3 0.173 0.006 0.001 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 0.008 0.009 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.113 Expanded uncertainty, U e 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 X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 28.5 0.113 1 0.113 Readability,H res HRB 0 0.014 1 0.014 Repeatability of measurement, H rep HRB 0 0.059 1 0.059 Combined uncertainty, uc 0.128 Measured hardness,H mh HRB 28.5 Expanded uncertainty, Ue 0.257 Page 45 of 77

Revisi<strong>on</strong>: <str<strong>on</strong>g>Final</str<strong>on</strong>g> <str<strong>on</strong>g>Report</str<strong>on</strong>g><br />

Date: May 25, 2012<br />

Uncertainty budget of <strong>Hardness</strong> machine at 85 HRA A21048<br />

<strong>Hardness</strong> value, HRA 85.3 7279.9 85.3 1<br />

Quantity Unit Estimated Standard Sensitivity Uncertainty<br />

error value uncertainty coefficient c<strong>on</strong>tributi<strong>on</strong><br />

Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.040 0.000<br />

Total test force, F N 0.588 0.340 -0.023 -0.008<br />

Permanent depth of indentati<strong>on</strong>, h m 0.2 0.115 -0.500 -0.058<br />

Preliminary test force dwell time,to s 0.5 0.289 -0.006 -0.002<br />

Indentati<strong>on</strong> velocity, v mm/s -1<br />

0.3 0.173 0.007 0.001<br />

Total test force dwell time, t s 1 0.289 -0.025 -0.007<br />

Indenter angle, ° 0.1 0.058 0.180 0.010<br />

Indenter radius, r m 5 2.887 0.058 0.167<br />

Deformati<strong>on</strong> of frame,DF m 0.25 0.144 0.500 0.072<br />

Combined uncertainty, u c HRA Combined uncertainty, uc 0.192<br />

Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.384<br />

Uncertainty budget of hardness measurement at 85 HRA A21048<br />

Quantity Unit Estimated Standard Sensitivity Uncertainty<br />

value uncertainty coefficient c<strong>on</strong>tributi<strong>on</strong><br />

X i x i u(x i) c i u i(H)<br />

<strong>Hardness</strong> machine, H phm HRA 85.3 0.192 1 0.192<br />

Readability,H res HRA 0 0.003 1 0.003<br />

Repeatability of measurement, H rep HRA 0 0.027 1 0.027<br />

Combined uncertainty, uc 0.194<br />

Measured hardness,H mh HRA 85.3 Expanded uncertainty, Ue 0.387<br />

Page 44 of 77

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