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

Revision: <strong>Final</strong> <strong>Report</strong>
Date: May 25, 2012
<strong>Report</strong> Form 4 Uncertainty budget of measurement
Uncertainty budget for 25 HRB 55
Quantity Estimated Standard Sensitivity Uncertainty
value uncertainty coefficient contribution
i
X i Dx u x i
i
C i u i (H )
Preliminary test force, Fo 1.0 N 0.58 0.178 0.103
Total test force, F 1.0 N 0.58 -0.1160 -0.067
Permanent depth of
indentation, h
3.0 um 1.73 -0.5 -0.866
Preliminary test force
0.5 s 0.29 -0.0617 -0.018
dwell time, t o
Indentation velocity, v 3.0 um/s 1.73 0.0067 0.012
Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005
Indenter ball diameter, d 1.7 um 0.98 0.0098 0.010
Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260
Combined uncertainty, u c k=2 0.913
Expanded uncertainty, Ue 1.9
Uncertainty budget for 30 HRB 55
Quantity Estimated Standard Sensitivity Uncertainty
value uncertainty coefficient contribution
i
X i Dx u x i
i
C i u i (H )
Preliminary test force, Fo 1.0 N 0.58 0.167 0.096
Total test force, F 1.0 N 0.58 -0.1114 -0.064
Permanent depth of
indentation, h
3.0 um 1.73 -0.5 -0.866
Preliminary test force
0.5 s 0.29 -0.0224 -0.006
dwell time, t o
Indentation velocity, v 3.0 um/s 1.73 0.0060 0.010
Total test force dwell time, t 0.5 s 0.29 -0.017 -0.005
Indenter ball diameter, d 1.7 um 0.98 0.0073 0.007
Deformation of frame, DF 0.9 um 0.52 -0.5 -0.260
Combined uncertainty, u c k=2 0.912
Expanded uncertainty, Ue 1.8
x
3
x
3
Page 72 of 77