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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 55 HRA 25568<br />

<strong>Hardness</strong> value, HRA 55.1 3030.9 55.1 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,F o N 0.020 0.011 0.153 0.002<br />

Total test force, F N 0.588 0.340 -0.064 -0.022<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 0.027 0.008<br />

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

0.3 0.173 -0.003 -0.001<br />

Total test force dwell time, t s 1 0.289 -0.074 -0.021<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 0.194<br />

Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.388<br />

Uncertainty budget of hardness measurement at 55 HRA 25568<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 55.1 0.194 1 0.194<br />

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

Repeatability of measurement, H rep HRA 0 0.013 1 0.013<br />

Combined uncertainty, uc 0.195<br />

Measured hardness,H mh HRA 55.1 Expanded uncertainty, Ue 0.389<br />

Uncertainty budget of <strong>Hardness</strong> machine at 60 HRA B12037<br />

<strong>Hardness</strong> value, HRA 60.4 3653.1 60.4 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 0.133 0.002<br />

Total test force, F N 0.588 0.340 -0.057 -0.019<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 0.021 0.006<br />

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

0.3 0.173 -0.001 0.000<br />

Total test force dwell time, t s 1 0.289 -0.065 -0.019<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 0.194<br />

Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.387<br />

Uncertainty budget of hardness measurement at 60 HRA B12037<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 60.4 0.194 1 0.194<br />

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

Repeatability of measurement, H rep HRA 0 0.011 1 0.011<br />

Combined uncertainty, uc 0.194<br />

Measured hardness,H mh HRA 60.4 Expanded uncertainty, Ue 0.388<br />

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