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

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Revision: <strong>Final</strong> <strong>Report</strong> Date: May 25, 2012 Uncertainty budget of Hardness machine at 40 HRB 40 Hardness value, HRB 37.7 1422.4 37.7 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.150 0.002 Total test force, F N 0.981 0.566 -0.104 -0.059 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 0.029 0.008 Indentation velocity, v mm/s -1 0.3 0.173 0.005 0.001 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 0.004 0.004 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.110 Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.220 Uncertainty budget of hardness measurement at 40 HRB 40 Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 37.7 0.110 1 0.110 Readability,H res HRB 0 0.014 1 0.014 Repeatability of measurement, H rep HRB 0 0.063 1 0.063 Combined uncertainty, uc 0.128 Measured hardness,H mh HRB 37.7 Expanded uncertainty, Ue 0.255 Uncertainty budget of Hardness machine at 50 HRB 50 Hardness value, HRB 51.0 2600.2 51.0 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.121 0.001 Total test force, F N 0.981 0.566 -0.092 -0.052 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 0.093 0.027 Indentation velocity, v mm/s -1 0.3 0.173 0.003 0.001 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 -0.003 -0.003 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.110 Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.219 Uncertainty budget of hardness measurement at 50 HRB 50 Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 51.0 0.110 1 0.110 Readability,H res HRB 0 0.014 1 0.014 Repeatability of measurement, H rep HRB 0 0.039 1 0.039 Combined uncertainty, uc 0.117 Measured hardness,H mh HRB 51.0 Expanded uncertainty, Ue 0.234 Page 46 of 77
Revision: <strong>Final</strong> <strong>Report</strong> Date: May 25, 2012 Uncertainty budget of Hardness machine at 60 HRB 60 Hardness value, HRB 59.6 3549.1 59.6 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.102 0.001 Total test force, F N 0.981 0.566 -0.084 -0.048 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 0.118 0.034 Indentation velocity, v mm/s -1 0.3 0.173 0.002 0.000 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 -0.007 -0.008 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.110 Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.220 Uncertainty budget of hardness measurement at 60 HRB 60 Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 59.6 0.110 1 0.110 Readability,H res HRB 0 0.014 1 0.014 Repeatability of measurement, H rep HRB 0 0.110 1 0.110 Combined uncertainty, uc 0.156 Measured hardness,H mh HRB 59.6 Expanded uncertainty, Ue 0.313 Uncertainty budget of Hardness machine at 70 HRB 70 Hardness value, HRB 69.6 4843.2 69.6 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force, Fo N 0.020 0.011 0.080 0.001 Total test force, F N 0.981 0.566 -0.075 -0.042 Permanent depth of indentation, h m 0.2 0.115 -0.500 -0.058 Preliminary test force dwell time, to s 0.5 0.289 0.130 0.037 Indentation velocity, v mm/s -1 0.3 0.173 0.000 0.000 Total test force dwell time, t s 1 0.289 -0.017 -0.005 Indenter ball diameter, d m 2 1.155 -0.012 -0.014 Deformation of frame, DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRB Combined uncertainty, uc 0.109 Expanded uncertainty, U e HRB Expanded uncertainty, Ue 0.219 Uncertainty budget of hardness measurement at 70 HRB 70 Quantity Unit Estimated Standard Sensitivity Uncertainty value uncertainty coefficient contribution X i x i u(x i) c i u i(H) Hardness machine, H phm HRB 69.6 0.109 1 0.109 Readability,H res HRB 0 0.014 1 0.014 Repeatability of measurement, H rep HRB 0 0.078 1 0.078 Combined uncertainty, uc 0.135 Measured hardness,H mh HRB 69.6 Expanded uncertainty, Ue 0.270 Page 47 of 77
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APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM

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