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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 100 HRB 100<br />

<strong>Hardness</strong> value, HRB 100.0 10008.0 100.0 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 0.013 0.000<br />

Total test force, F N 0.981 0.566 -0.047 -0.027<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 0.054 0.016<br />

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

0.3 0.173 -0.004 -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 -0.027 -0.031<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 0.102<br />

Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.205<br />

Uncertainty budget of hardness measurement at 100 HRB 100<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 100.0 0.102 1 0.102<br />

Readability,H res HRB 0 0.014 1 0.014<br />

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

Combined uncertainty, uc 0.107<br />

Measured hardness,H mh HRB 100.0 Expanded uncertainty, Ue 0.214<br />

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