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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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 25 HRB 25<br />
<strong>Hardness</strong> value, HRB 24.1 579.4 24.1 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, Fo N 0.020 0.011 0.180 0.002<br />
Total test force, F N 0.981 0.566 -0.117 -0.066<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 -0.069 -0.020<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 -0.017 -0.005<br />
Indenter ball diameter, d m 2 1.155 0.010 0.012<br />
Deformati<strong>on</strong> of frame, DF m 0.25 0.144 0.500 0.072<br />
Combined uncertainty, u c HRB Combined uncertainty, uc 0.116<br />
Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.232<br />
Uncertainty budget of hardness measurement at 25 HRB<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 HRB 24.1 0.116 1 0.116<br />
Readability,H res HRB 0 0.003 1 0.003<br />
Repeatability of measurement, H rep HRB 0 0.072 1 0.072<br />
Combined uncertainty, uc 0.137<br />
Measured hardness,H mh HRB 24.1 Expanded uncertainty, Ue 0.273<br />
Uncertainty budget of <strong>Hardness</strong> machine at 30 HRB 30<br />
<strong>Hardness</strong> value, HRB 28.5 810.3 28.5 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, Fo N 0.020 0.011 0.170 0.002<br />
Total test force, F N 0.981 0.566 -0.113 -0.064<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 -0.034 -0.010<br />
Indentati<strong>on</strong> velocity, v mm/s -1<br />
0.3 0.173 0.006 0.001<br />
Total test force dwell time, t s 1 0.289 -0.017 -0.005<br />
Indenter ball diameter, d m 2 1.155 0.008 0.009<br />
Deformati<strong>on</strong> of frame, DF m 0.25 0.144 0.500 0.072<br />
Combined uncertainty, u c HRB Combined uncertainty, uc 0.113<br />
Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.227<br />
Uncertainty budget of hardness measurement at 30 HRB 30<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 HRB 28.5 0.113 1 0.113<br />
Readability,H res HRB 0 0.014 1 0.014<br />
Repeatability of measurement, H rep HRB 0 0.059 1 0.059<br />
Combined uncertainty, uc 0.128<br />
Measured hardness,H mh HRB 28.5 Expanded uncertainty, Ue 0.257<br />
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