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 55 HRA 25568 Hardness value, HRA 55.1 3030.9 55.1 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.153 0.002 Total test force, F N 0.588 0.340 -0.064 -0.022 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 0.027 0.008 Indentation velocity, v mm/s -1 0.3 0.173 -0.003 -0.001 Total test force dwell time, t s 1 0.289 -0.074 -0.021 Indenter angle, ° 0.1 0.058 0.180 0.010 Indenter radius, r m 5 2.887 0.058 0.167 Deformation of frame,DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRA Combined uncertainty, uc 0.194 Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.388 Uncertainty budget of hardness measurement at 55 HRA 25568 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 HRA 55.1 0.194 1 0.194 Readability,H res HRA 0 0.003 1 0.003 Repeatability of measurement, H rep HRA 0 0.013 1 0.013 Combined uncertainty, uc 0.195 Measured hardness,H mh HRA 55.1 Expanded uncertainty, Ue 0.389 Uncertainty budget of Hardness machine at 60 HRA B12037 Hardness value, HRA 60.4 3653.1 60.4 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.133 0.002 Total test force, F N 0.588 0.340 -0.057 -0.019 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 0.021 0.006 Indentation velocity, v mm/s -1 0.3 0.173 -0.001 0.000 Total test force dwell time, t s 1 0.289 -0.065 -0.019 Indenter angle, ° 0.1 0.058 0.180 0.010 Indenter radius, r m 5 2.887 0.058 0.167 Deformation of frame,DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRA Combined uncertainty, uc 0.194 Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.387 Uncertainty budget of hardness measurement at 60 HRA B12037 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 HRA 60.4 0.194 1 0.194 Readability,H res HRA 0 0.003 1 0.003 Repeatability of measurement, H rep HRA 0 0.011 1 0.011 Combined uncertainty, uc 0.194 Measured hardness,H mh HRA 60.4 Expanded uncertainty, Ue 0.388 Page 42 of 77
Revision: <strong>Final</strong> <strong>Report</strong> Date: May 25, 2012 Uncertainty budget of Hardness machine at 70 HRA B15871 Hardness value, HRA 70.6 4981.1 70.6 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.095 0.001 Total test force, F N 0.588 0.340 -0.043 -0.015 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 0.010 0.003 Indentation velocity, v mm/s -1 0.3 0.173 0.002 0.000 Total test force dwell time, t s 1 0.289 -0.049 -0.014 Indenter angle, ° 0.1 0.058 0.180 0.010 Indenter radius, r m 5 2.887 0.058 0.167 Deformation of frame,DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRA Combined uncertainty, uc 0.193 Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.385 Uncertainty budget of hardness measurement at 70 HRA B15871 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 HRA 70.6 0.193 1 0.193 Readability,H res HRA 0 0.003 1 0.003 Repeatability of measurement, H rep HRA 0 0.014 1 0.014 Combined uncertainty, uc 0.193 Measured hardness,H mh HRA 70.6 Expanded uncertainty, Ue 0.386 Uncertainty budget of Hardness machine at 80 HRA A27761 Hardness value, HRA 81.3 6609.0 81.3 1 Quantity Unit Estimated Standard Sensitivity Uncertainty error value uncertainty coefficient contribution Xi xi u(xi) ci ui(H) Preliminary test force,F o N 0.020 0.011 0.055 0.001 Total test force, F N 0.588 0.340 -0.028 -0.010 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 -0.002 -0.001 Indentation velocity, v mm/s -1 0.3 0.173 0.006 0.001 Total test force dwell time, t s 1 0.289 -0.032 -0.009 Indenter angle, ° 0.1 0.058 0.180 0.010 Indenter radius, r m 5 2.887 0.058 0.167 Deformation of frame,DF m 0.25 0.144 0.500 0.072 Combined uncertainty, u c HRA Combined uncertainty, uc 0.192 Expanded uncertainty, U e HRA Expanded uncertainty, Ue 0.384 Uncertainty budget of hardness measurement at 80 HRA A27761 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 HRA 81.3 0.192 1 0.192 Readability,H res HRA 0 0.003 1 0.003 Repeatability of measurement, H rep HRA 0 0.011 1 0.011 Combined uncertainty, uc 0.192 Measured hardness,H mh HRA 81.3 Expanded uncertainty, Ue 0.385 Page 43 of 77
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APMP.M.H-S3 Final Report Comparison on Hardness ... - BIPM

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