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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 for 40 HRB 55<br />

Quantity Estimated Standard Sensitivity Uncertainty<br />

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

i<br />

X i Dx u x i <br />

i<br />

C i u i (H )<br />

Preliminary test force, Fo 1.0 N 0.58 0.145 0.084<br />

Total test force, F 1.0 N 0.58 -0.1022 -0.059<br />

Permanent depth of<br />

indentati<strong>on</strong>, h<br />

3.0 um 1.73 -0.5 -0.866<br />

Preliminary test force<br />

0.5 s 0.29 0.0426 0.012<br />

dwell time, t o<br />

Indentati<strong>on</strong> velocity, v 3.0 um/s 1.73 0.0046 0.008<br />

Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005<br />

Indenter ball diameter, d 1.7 um 0.98 0.0024 0.002<br />

Deformati<strong>on</strong> of frame, DF 0.9 um 0.52 -0.5 -0.260<br />

Combined uncertainty, u c k=2 0.910<br />

Expanded uncertainty, Ue 1.8<br />

Uncertainty budget for 50 HRB 55<br />

Quantity Estimated Standard Sensitivity Uncertainty<br />

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

i<br />

X i Dx u x i <br />

i<br />

C i u i (H )<br />

Preliminary test force, Fo 1.0 N 0.58 0.123 0.071<br />

Total test force, F 1.0 N 0.58 -0.0930 -0.054<br />

Permanent depth of<br />

indentati<strong>on</strong>, h<br />

3.0 um 1.73 -0.5 -0.866<br />

Preliminary test force<br />

0.5 s 0.29 0.0896 0.026<br />

dwell time, t o<br />

Indentati<strong>on</strong> velocity, v 3.0 um/s 1.73 0.0032 0.006<br />

Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005<br />

Indenter ball diameter, d 1.7 um 0.98 -0.0025 -0.002<br />

Deformati<strong>on</strong> of frame, DF 0.9 um 0.52 -0.5 -0.260<br />

Combined uncertainty, u c k=2 0.909<br />

Expanded uncertainty, Ue 1.8<br />

x<br />

3<br />

x<br />

3<br />

Page 73 of 77

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