Tolerance Verification Report: Workpiece 7
Author:
Date of Verification:
Measuring Task 1: Diameter ⌀22 js9, ISO 286-2:2010
Measuring Task 2: Coaxiality ⌀0.08 A
Measuring Instrument: CMM Zeiss Prismo
Probe: ⌀3 x 20 mm
Measuring Force: 0.6 N
Temperature: 19.3 C
Measuring Procedure: ISO 1550-3:2011 Substitution Method
Kyocera Reference Artefact: Diameter ⌀20, 353-149805
Raw Data: Diameter Appendix A Table 1
Coaxiality Appendix A Table 2
Measuring Procedure Task 1:
The diameter has been determined by measuring 100-point circles on three different heights (top, middle, and bottom of
the measuring surface) and repeated five times on each height. The diameters were evaluated with Maximum Inscribed
Feature to find the minimum diameters. Minimum Inscribed Features were also measured but were useless because the
minimum diameters were already out of maximum tolerance. The reference artefact diameter was measured using the
same procedure, however, the bottom was not measured in order to keep the stylus the same.
Uncertainty for Measuring Task 1:
Uncertainty for diameter was carried out using ISO 15530-3:2011. Uncertainties related to the workpiece manufacturing is
disregarded due to unknown manufacturing conditions. The coverage factor was chosen to be k=2.
Uncertainty for Diameter 22.1483 ± 0.0021 mm
Full Uncertainty kU = × √u2cal + u2p + u2b + u2w
Uncertainty of Calibration /k (U .0003mm)ucal = U cal cal = 0
Uncertainty of Measurement Procedure tandard deviationup = s
Measurement of Reference Artefact T 0C)ub = ( − 2 × uα × l
Measurement of Workpiece T 0C)uw = ( − 2 × uα × l
Measuring Procedure Task 2:
The coaxiality has been determined by measuring 100-point circles on ten different heights equally distributed from the
top of the flange to the bottom of surface A and repeated five times on each height. This data was evaluated using the
CALYPSO coaxiality program. The reference artefact coaxiality was measured using the same procedure, however, the
bottom was not measured in order to keep the stylus the same and the CALYPSO program measured straightness.
Uncertainty for Measuring Task 2:
Uncertainty for coaxiality was carried out using ISO 15530-3:2011. Uncertainties related to the workpiece manufacturing
is disregarded due to unknown manufacturing conditions. The coverage factor was chosen to be k=2.
Uncertainty for Coaxiality 0.0011 ± 0.0004 mm
Full Uncertainty
Uncertainty of Calibration
U = k × √u2cal + u2p
ucal = U cal/k (U cal = 0.0000 mm)
Uncertainty of Measurement Procedure tandard deviationup = s
1
Measuring Task 3: Roughness Rp 8
Measuring Instrument: Surtronic 25 Stylus
Profilometer
Pick-up Radius: 5 μm
Cut-off λs: 2.5 μm
Cut-off λc: 0.8 mm
Temperature: 24 C
Measuring Procedure: ISO 4288:1996 16% Rule
Reference Artefact 1: Optical Flat
Reference Artefact 2: Rubert 1163
Rou04014
Raw Data: Appendix A Table 3
Measuring Procedure Task 3:
The roughness has been determined by measuring an optical flat, a Rubert reference artefact with a certified Rz value, and
the workpiece using a stylus profilometer. All were measured ten times in different tracks, and the reference artefact was
also measured ten times in the same track. Both Rp and Rz were measured for all surfaces.
Uncertainty for Measuring Task 3:
The uncertainty for roughness was carried out using ISO 4288:1996 16% rule. The reference standard specified Rz,
however this can relate to Rp in that Rz is the peak to valley height and since the profile was triangular, can be divided by
two to find Rp. The coverage factor was chosen to be k=2.
Uncertainty for Roughness 1.781 + 0.117 μm
Full Uncertainty kU inst = × √u2c + u2rep + u2b + us2
Calibration Factor F (Rp z 1.61/2)C = Rp /Rpcert cert = R
Uncertainty of Calibration /kuc = U cal
Background Noise (Optical Flat) /2ub = Rp √3
Repeatability (P1163 Same Track) >> resolutiontandard deviationurep = s
Variation of Roughness (Workpiece) TD/2us = h × S √n
Final Validation Remarks:
Measuring Task Measured Value Tolerance Pass/Fail
Diameter ⌀22 js9 22.1483 ± 0.0021 mm 22 ± 0.026 mm Fail
Coaxiality ⌀0.08 A 0.0011 ± 0.0004 mm 0.08 mm Pass
Roughness Rp 8 1.90 μm 8 μm Pass
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Appendix A Raw Data Measurements:
Table 1: Diameter Measurements
Workpiece 7 Diameter Reference Artefact
Measuring Height Mean Value /mm Original Data /mm Measuring Height Mean Value /mm Original Data /mm
Z = - 1.5 mm 22.1447
22.1426
22.1426
22.1427
22.1426
22.1529
Z = -1.5 mm 19.9947
19.9962
19.9943
19.9943
19.9944
19.9944
Z = - 2 mm 22.1427
22.1428
22.1429
22.1427
22.1427
22.1426
Z = - 10 mm 19.9963
19.9963
19.9964
19.9964
19.9963
19.9963
Z = - 2.5 mm 22.1441
22.1442
22.1442
22.1441
22.1441
22.1441
Total: 19.9955 STD = 0.0010 mm
Total: 22.1439 STD = 0.0026 mm
Table 2: Coaxiality Measurements
Workpiece 7 Coaxiality Reference Artefact Coaxiality
Mean Value = 0.0013 mm
STD = 0.0002 mm
Original Data /mm
Mean Value = 0.0002 mm
STD =0.0002 mm
Original Data /mm
0.0014
0.0015
0.0009
0.0015
0.0013
0.0006
0.0001
0.0001
0.0001
0.0001
Table 3: Roughness Measurements
Optical Flat Roughness (Different Spots) Reference Artefact 2 Roughness (Different Spots)
Rp = 0.166 μm
Rz = 0.345 μm
Rp /μm Rz /μm
Rp = 0.891 μm
Rz = 1.812 μm
Rp /μm Rz /μm
0.173
0.152
0.163
0.169
0.169
0.172
0.153
0.174
0.169
0.167
0.344
0.319
0.327
0.358
0.333
0.383
0.325
0.347
0.344
0.369
0.931
0.874
0.893
0.914
0.881
0.879
0.870
0.896
0.915
0.858
1.851
1.776
1.817
1.850
1.796
1.812
1.767
1.843
1.830
1.780
Reference Artefact 2 Roughness (Same Spots) Workpiece 7 Roughness (Different Spots)
Rp = 0.897 μm
Rz = 1.807 μm
Rp /μm Rz /μm
Rp = 1.971 μm
Rz = 4.212 μm
Rp /μm Rz /μm
0.913
0.889
0.850
0.909
0.880
0.904
0.902
0.893
0.924
0.905
1.818
1.796
1.756
1.822
1.770
1.812
1.808
1.826
1.838
1.820
1.763
2.189
2.126
1.928
2.015
2.024
1.878
1.848
2.014
1.927
3.808
4.374
4.659
3.806
4.400
4.533
4.091
3.807
4.019
4.618
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