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Best Practices For Force
Measurement
Common Measurement Errors, and
Challenges on CMC uncertainty for
Force Measurements
Copyright Morehouse 2016 1
Best Practices For Force
Measurement
Best measurement practice is
communication with the end customer to
best replicate with calibration, in your lab,
how the instrument is being used.
Copyright Morehouse 2016 2
Best Practices For Force Measurement
Henry Zumbrun II, President Morehouse Instrument
Company
1742 Sixth Ave
York, PA 17403
PH: 717-843-0081
web: www.mhforce.com
info: hzumbrun@mhforce.com
3
The guy talking right now 
Copyright Morehouse 2016
Abstract
This 1 hour session will cover the
following:
Common force measurement errors
and the importance of calibrating the
instrument in the manner it is being
used
Examples of CMC for Force Scopes
Challenges on CMC uncertainty for
force
4Copyright Morehouse 2016
Documentation
→ISO/IEC 17025 , 5.4.1 – The laboratory shall use the appropriate methods
and procedures for all tests and/or calibrations within its scope.
Importance:
• The calibration must be performed using an acceptable and agreed upon
calibration method or procedure (Contract Review). The results must be
provided in a report with necessary information.
What could go wrong?:
• The reference laboratory may only check the calibration procedure and
not mention the adapters used to perform the calibration.
• Even the ASTM E74 standard is an incomplete calibration procedure and
does not address measurement errors associated with the use of different
calibration fixtures. This is significant source of error and variability
between labs that adhere to ASTM E74-13a or other standards
5
Copyright Morehouse 2016
ISO 376: 2011
ISO 376 recognizes the importance of adapters in reproducibility conditions of
the measurement. Proper adaptor use in accordance with ISO 376 Annex A,
helps ensure the reliability of reported measurements. Note: Annex A is not a
requirement for labs to adhere to.
A.4 Loading fittings
A.4.1 General
• Loading fittings should be designed in such a way that the line of force application
is not distorted. As a rule, tensile force transducers should be fitted with two ball
nuts, two ball cups and, if necessary, with two intermediate rings, while
compressive force transducers should be fitted with one or two compression pads.
6
Copyright Morehouse 2016
• Loaded with the proper Pin Diameter to 50,000 LBF
7
Tension Links Improper Vs Proper
Pin Diameter
• Loaded without the proper Pin Diameter to 50,000 LBF
8
Tension Links Improper Vs Proper
Pin Diameter
Tension Links Improper Vs Proper
Pin Diameter
Difference of 860 LBF or 1.72 % error at 50,000 LBF from not
using the proper size load pins.
Out of Tolerance Versus In Tolerance
Note: Tension links of this design seem to exhibit similar
problems. If you are unsure, TEST!
9Copyright Morehouse 2016
Misalignment Demonstrating 0.752 % error
10
Misalignment on S-beam
Output in mV/V
Aligned in machine
-1.96732 mV/V
Output in mV/V
Slightly misaligned in machine
-1.98211 mV/V
Copyright Morehouse 2016
Misalignment Demonstrating 0.752 % Error
11
Misalignment on 10,000 LBF S-beam
Output in mV/V
Aligned in machine
-1.96732 mV/V
Expanded Uncertainty 9.95 LBF
Output in mV/V
Slightly misaligned in machine
-1.98211 mV/V
Expanded Uncertainty 85.0 LBF
Copyright Morehouse 2016
Misalignment S-Beam versus Shear web cell
12
S-BEAM WITH 0.75 % MISALIGNMNET ERROR VS MOREHOUSE WITH 0.0022 % ERROR
MOREOUSE 10000 LBF SERIALNO EXAMPLE
% Force Applied COMBINED UNCERTAINTY FOR K=2
2.00% 200 0.20836% 0.417 LBF
10.00% 1000 0.04179% 0.418 LBF
20.00% 2000 0.02108% 0.422 LBF
30.00% 3000 0.01426% 0.428 LBF
40.00% 4000 0.01091% 0.436 LBF
50.00% 5000 0.00894% 0.447 LBF
60.00% 6000 0.00766% 0.460 LBF
70.00% 7000 0.00677% 0.474 LBF
80.00% 8000 0.00613% 0.490 LBF
90.00% 9000 0.00565% 0.508 LBF
100.00% 10000 0.00527% 0.527 LBF
S-BEAM 10000 LBF SERIAL NO EXAMPLE
% Force Applied COMBINED UNCERTAINTY FOR K=2
2.00% 200 0.89076% 1.782 LBF
10.00% 1000 0.86705% 8.671 LBF
20.00% 2000 0.86630% 17.326 LBF
30.00% 3000 0.86616% 25.985 LBF
40.00% 4000 0.86612% 34.645 LBF
50.00% 5000 0.86609% 43.305 LBF
60.00% 6000 0.86608% 51.965 LBF
70.00% 7000 0.86607% 60.625 LBF
80.00% 8000 0.86607% 69.286 LBF
90.00% 9000 0.86607% 77.946 LBF
100.00% 10000 0.86606% 86.606 LBF
Copyright Morehouse 2016
Different Hardness of Top Adaptors
 Example: A customer brought in a 1,000,000 LBF load cell for calibration.
Morehouse performed a calibration. The output of the load cell was recorded as
1,500 LBF higher than the previous calibration for a force applied 1,000,000 LBF.
 Is this a stability issue, or an adaptor issue?
 After calling the customer, we were informed a new top loading block was supplied
with this load cell for the current calibration. When we told them what was
happening, they sent the original top loading block. When tested, the original block
resulted in an output of 1,000,180 LBF when loaded to 1,000,000 LBF.
13
When using the new adaptor and figuring
the measurement error between the
different top blocks (adaptors), Expanded
Uncertainty would have increased from
269 LBF with original top adaptor to
1,490 LBF using the newly fabricated
adaptor.
Copyright Morehouse 2016
Loading Through Different Thread Depths
14
Below is a test Morehouse did with two different types of adaptors and recorded the
readings with 10,000 LBF applied. Output was 10,001.5 LB with 1.5” of engagement vs
9942.3 LBF with 0.5” engagement. There was a difference of 59.2 LBF on a 10,000 LBF
cell.
Column Type Cell
Model RFG/F226-01
Different Type Adaptors.
1.5” versus 0.5” engagement
The error on this measurement was over 5 % on a device expected to be better
than 0.025%. How are your devices being calibrated?
Copyright Morehouse 2016
Different Thread Depths
15
The top light grey line shows the difference in output when
loading a shear web load cell at different thread depths
The darker bottom line shows the difference in output when
loading against the load cell shoulder.
Copyright Morehouse 2016
Different Thread Depths
16
Copyright Morehouse 2016
ALUMINUM LOAD CELL OUTPUT USING DIFFERENT
COMPRESSION ADAPTERS LOADED TIGHT AGAINST
THE SHOULDER
Force Applied Adapter 1 Adapter 2 Adapter 3 Max Error Max
Readings Readings Readings Between Adapters % Error
600 595.4 598.8 605.6 10.2 1.70%
1200 1191.2 1196.4 1205.1 13.9 1.16%
1800 1787.4 1793.4 1802.7 15.3 0.85%
2400 2383.2 2390.3 2399.7 16.5 0.69%
3000 2979.4 2987.1 2996.7 17.3 0.58%
Note: This test was done on Aluminum type Shear Web Cell. Steel cells behave much differently. Aluminum cells are usually from 100 LBF - 3,000 LBF
Aluminum Load Cell Top Fixture Test
600 1200 1800 2400 3000
Adapter 1 0.77% 0.74% 0.70% 0.70% 0.69%
Adapter 2 0.20% 0.30% 0.37% 0.41% 0.43%
Adapter 3 0.92% 0.42% 0.15% 0.01% 0.11%
0.00%
0.10%
0.20%
0.30%
0.40%
0.50%
0.60%
0.70%
0.80%
0.90%
1.00%
ErrorPercentagefromnominal
Different Top Adapter Test on a 3K Aluminum Load Cell
17Copyright Morehouse 2016
Multi - Column Load Cell
• Error associated with installing a non flat base on a multi-
column cell. This is an actual test result we observed on a
Revere multi-column cell.
18
Non Flat Base Flat Base
Maximum Error Maximum Error
Force Applied In Rotation In Rotation
LBF LBF
30000 12 4
150000 136 24
300000 342 68
% error % error
30000 0.040% 0.013%
150000 0.091% 0.016%
300000 0.114% 0.023%
Copyright Morehouse 2016
Loading through the bottom threads in compression
19Copyright Morehouse 2016
Loading through the bottom threads in
compression
20Copyright Morehouse 2016
Loading through the bottom threads in
compression
21
MOREHOUSE 10000 LBF SERIAL NO EXAMPLE
% Force Applied COMBINED UNCERTAINTY FOR K=2
2.00% 200 0.20834% 0.417 LBF
10.00% 1000 0.04171% 0.417 LBF
20.00% 2000 0.02093% 0.419 LBF
30.00% 3000 0.01403% 0.421 LBF
40.00% 4000 0.01061% 0.424 LBF
50.00% 5000 0.00857% 0.428 LBF
60.00% 6000 0.00723% 0.434 LBF
70.00% 7000 0.00628% 0.440 LBF
80.00% 8000 0.00558% 0.446 LBF
90.00% 9000 0.00504% 0.454 LBF
100.00% 10000 0.00462% 0.462 LBF
If we calibrated the device against the base and the end user loaded through the
bottom threads, the combined uncertainty of the measurement would go from 0.462
LBF to 1.461 LBF
0.012 % Error with different adapters vs loading against the base
MOREHOUSE 10000 LBF SERIAL NO EXAMPLE
% Force Applied COMBINED UNCERTAINTY FOR K=2
2.00% 200 0.20880% 0.418 LBF
10.00% 1000 0.04396% 0.440 LBF
20.00% 2000 0.02510% 0.502 LBF
30.00% 3000 0.01972% 0.592 LBF
40.00% 4000 0.01745% 0.698 LBF
50.00% 5000 0.01629% 0.815 LBF
60.00% 6000 0.01563% 0.938 LBF
70.00% 7000 0.01521% 1.065 LBF
80.00% 8000 0.01494% 1.195 LBF
90.00% 9000 0.01475% 1.327 LBF
100.00% 10000 0.01461% 1.461 LBF
Copyright Morehouse 2016
10 Volt Versus 5 Volt DC Excitation
22Copyright Morehouse 2016
Proper Fixtures Conclusion
Communication with the customer is key to address these
issues. Unfortunately, this does not always happen.
Examples of this scenario are as follows:
• 3rd party suppliers
• Purchasing Departments
• Management who does not care
• Large Companies where it is difficult to reach the
technician using the device.
To minimize these errors, the Ideal solution would be to
calibrate the device with the customer’s adaptors or have
the customer send the appropriate adaptors to the
reference lab for calibration.
23
Copyright Morehouse 2016
Examples of Scopes - Morehouse
Copyright Morehouse 2016 24
Examples of Scopes – Secondary
Standards lab
Copyright Morehouse 2016 25
Examples of Scopes – Secondary
Standards Lab
Copyright Morehouse 2016 26
Examples of Scopes
Torque numbers are questionable. Bending moments,
unsupported arms, etc.., I have a paper from NPL showing most
unsupported arms are no better than 0.02 % at best.
Copyright Morehouse 2016 27
Torque Bending Moments
Figure 8 shows:
•Transducer A (2kN-m
transducer calibrated with 1.5
kN-m unsupported beam)
•Transducer B (200N-m
transducer calibrated with .5
kN-m unsupported beam)
•Transducer C (1kN-m
transducer calibrated with 1
kN-m unsupported beam)
“A Comparison Between Supported and Unsupported Beams For Use in Static
Torque Calibrations” by Andy Robinson and Barry Pratt revealed that the weight of
unsupported calibration beams in relation to the capacity of the transducer is
critical.
Copyright Morehouse 2016 28
Examples of Scopes – Working
Standards
Another interesting example. Morehouse provides calibration
for X customer. Based on our knowledge the best X customer
can obtain is 0.01 % of applied. It is more probable they are at
0.02 % Then X customer calibrates the device for another lab y.
Y lab then claims values of above. 2 chain links away from
primary standards and better CMC’’s than the secondary
standards labs. ?????? More on this later
Copyright Morehouse 2016 29
ASTM E74 Calibration
• The Class A or Class AA loading range
cannot be less than the first applied
non zero force point (400 x 0.132 =
52.8)
• Per Section 8.6 of ASTM E74-13a “The
loading range shall not include forces
outside the range of forces applied
during the calibration”
• Per Section 7.2.1 of ASTM E74-13a
states “In no case should the smallest
force applied be below the lower limit
of the instrument as defined by the
values: 400 x resolution for Class A
loading range & 2000 x resolution for
Class AA loading range”
30Copyright Morehouse 2016
ASTM E74 Calibration
• It is recommended that the lower force
limit be not less than2%( 1⁄50) of the
capacity of the instrument.
• Per Section 7.2.1 If the lower limit of
the loading range of the device (see
8.6.1) is anticipated to be less than one
tenth of the maximum force applied
during calibration, then forces should
be applied at or below this lower limit
31Copyright Morehouse 2016
ASTM E74 Calibration Data Analysis
• Deviations from the fitted curve
• These are the differences between the
fitted curve and the observed values
• Standard Deviation is the square root
of the sum of all the deviations
squared/n-m-1
• N = sample size, m = the degree of
polynomial fit
• Calibration equation Deflection or
Response =
A0+A1(load)+A2(load)^2+…A5(load)^5
• LLF is 2.4 times the standard deviation
• Class A range is 400 times the LLF. Class
AA range is 2000 times the LLF.
32Copyright Morehouse 2016
Test Accuracy Ratio ASTM E74
PRIMARY
STANDARDS
0.005 %
SECONDARY
STANDARDS
CLASS AA
0.05 %
WORKING STANDARDS
CLASS A
0.25 %
TESTING MACHINE
1 %
33
Other types of calibrations performed may not adhere to any TAR, nor should they.
The challenge is figuring out if they are calculating their CMC’s properly.
Primary Standards are required to
assign an ASTM Class AA loading
range
Those Secondary Standards with a
Class AA range can only assign a
Class A loading range
Class A devices are then used to
calibrate the testing machine to
ASTM E4
Copyright Morehouse 2016
ASTM E74 STANDARD
• Remember Customer X Scope Example
Copyright Morehouse 2016 34
Calibration In Accordance with ASTM E74
Secondary Force Standard – an instrument or mechanism, the calibration
of which has been established by comparison with primary force
standards.
Criteria for Lower Load Limit
• LLF = 2.4 * STD DEV – This corresponds to a 98.2 % Coverage Factor
• Based on LLF or Resolution whichever is higher
• Class A 400 times the LLF or resolution
• Class AA 2000 times the LLF or resolution
35Copyright Morehouse 2016
ASTM E74 STANDARD
• ASTM LLF is not the expanded uncertainty!!
Copyright Morehouse 2016 36
ASTM E74 STANDARD
• The “Expanded Uncertainty” is less than the
Reference Standard Uncertainty
98.2 % not 99 %Copyright Morehouse 2016 37
Scope Issues
→Example:
• An AB acquires a new lab to audit. This lab is performing force
calibration and is referencing the ASTM E74 standard using a set of load
cells, 100K,50K,10K and 1K. This lab had their standards calibrated by
another accredited lab using secondary standards. This lab becomes
accredited and continues to perform Class A calibrations.
→What does go wrong!
• The reference lab would have to be using primary standards to assign a
Class AA loading range.
• The Class AA loading range allows this lab to calibrate devices and assign
a Class A loading range.
• In the example above, this lab would only be able to use their load cells
for ASTM E4 (Field Testing) and not ASTM E74 calibrations.
38
Copyright Morehouse 2016
Common Issues
1. CMC values are unrealistic
2. Auditors may not understand the true
uncertainty components in regards to torque
measurements.
3. Measurement Uncertainties reported to end
customer are less than the scope CMC.
4. Lack of understanding the ASTM E74 standard.
39
Copyright Morehouse 2016
Calculating Force CMC’s
Guidance Documents
• NCSLI RP-12
• Lack of proper guidance document for non
ASTM E74
• ASTM E74 Appendix combined with A2LA
R205
Copyright Morehouse 2016 40
Force CMC for ASTM E 74 Calibrations
We will need the following:
1. Calibration Report for the Device.
2. The uncertainty of the
instrument(s) that were used to
perform the calibration
3. Calibration History (if available)
4. Manufacturer’s Specification Sheet
5. Error Sources, if known
The end user will then have to conduct
the following tests:
1. Repeatability study
2. R & R between technicians
3. Complete Proficiency Testing
Requirements
Copyright Morehouse 2016 41
Morehouse CMC
http://www.mhforce.com/s/CMC-CALCULATIONS-FOR-FORCE-MEASUREMENTS.xlsx
Laboratory Temperature
Technician Initials All information entered must converted to like units. FORCE Change From Interporlated Actual Effect
Date: This spreadsheet is provided by Morehouse Instrument Company APPLIED Previous % 0 LBF 0.000015
Range It is to be used as a guide to help calculate CMC 1 300 0.0500% 0.15 0.15 0.0045
Standards Used Ref and UUT 2 600 0.0500% 0.15 0.3 0.009
3 900 0.0500% 0.30 0.45 0.0135
Resolution UUT 0.1 LBF This is the resolution of the Unit Under Test you are Using for the Repeatability Study (What you are testing) 4 1200 0.0500% 0.60 0.6 0.018
5 1500 0.0500% 0.75 0.75 0.0225
REFERENCE STANDARD INFORMATION 6 1800 0.0500% 0.90 0.9 0.027
ASTM E74 LLF * 0.231 LBF 7 2100 0.0500% 1.05 1.05 0.0315
Resolution of Reference 0.023 LBF This should be found on your calibration report. 8 2400 0.0500% 1.20 1.2 0.036
Temperature Spec per degree C % 0.0015% This is found on the load cell specification sheet. Temperature Effect on Sensitivity, % RDG/100 F 9 2700 0.0500% 1.35 1.35 0.0405
10 3000 0.0500% 1.50 1.5 0.045
Max Temperature Variation 11
per degree C of Environment 1 During a typical calibration in a tightly controlled the temperature varies by no more than 1 degree C. 12
Morehouse CMC 0.0016% This is the CMC statement for the range calibrated found on the certificate of calibration. Leave blank if entering Eng. Units
Miscellaneous Error 0.003 %
Conv Repeatability Data To Eng. Units YES
MUST SELECT
Applied Run1 Run2 Run3 Run4 Average Resolution STD DEV CONVERTED Force % Eng. Units Conv % Force % or Eng.
1 300.00 300.5 300.5 300.6 300.6 300.55 0.998170022 0.05773503 0.05762937 300 0.0016% 0.000016 300 %
2 600.00 600.9 600.8 600.8 600.8 600.825 0.998626888 0.05000000 0.04993134 600 0.0016% 0.000016 600 %
3 900.00 901.1 900.9 901 901 901 0.998890122 0.08164966 0.08155904 900 0.0016% 0.000016 900 %
4 1200.00 1201.3 1201.1 1201.2 1201.2 1201.2 0.999000999 0.08164966 0.08156809 1200 0.0016% 0.000016 1200 %
5 1500.00 1501.4 1501.2 1501.4 1501.4 1501.35 0.999100809 0.10000000 0.09991008 1500 0.0016% 0.000016 1500 %
6 1800.00 1801.4 1801.2 1801.3 1801.3 1801.3 0.999278299 0.08164966 0.08159073 1800 0.0016% 0.000016 1800 %
7 2100.00 2101.4 2101.3 2101.4 2101.4 2101.375 0.999345667 0.05000000 0.04996728 2100 0.0016% 0.000016 2100 %
8 2400.00 2401.4 2401.3 2401.4 2401.4 2401.375 0.999427411 0.05000000 0.04997137 2400 0.0016% 0.000016 2400 %
9 2700.00 2701.4 2701.4 2701.3 2701.3 2701.35 0.99950025 0.05773503 0.05770617 2700 0.0016% 0.000016 2700 %
10 3000.00 3001.2 3001.3 3001.4 3001.5 3001.35 0.999550202 0.12909944 0.12904138 3000 0.0016% 0.000016 3000 %
11 0.0016% 0.000016 %
12 0.0016% 0.000016 %
Avg Std Dev of Runs 0.07799573 0.07793211
Ref S/N U-7644 UUT S/N Test
NOTE: ONLY ENTER INFORMATION IN LIGHT GREY BOXESSECTION 1 DATA ENTRY
This can be creep, side load sensitivity or other known error sources. Enter and select Eng. Units or %
Repeatability of UUT Ref Laboratory Uncertainty Per Point
Morehouse
HZ
2/26/2016
1K-5 K
* This is your ASTME74 LLF Found on Your ASTME74 Report. It will be converted to a pooled std dev (drop down for non ASTM)
Ref Standard Stability
Morehouse Measurement Uncertainty Calibration and Measurement Capability Worksheet
START ON THIS SHEET AND FILL IN ONLY LIGHT GREY BOXES
Copyright Morehouse 2016 42
Morehouse CMC
http://www.mhforce.com/s/CMC-CALCULATIONS-FOR-FORCE-MEASUREMENTS.xlsx
Laboratory %
Parameter FORCE Range 1K-5 K Sub-Range Force % Reading
Technician HZ 1 300 0.009 0.003%
Date 2/26/2016 2 600 0.018 0.003%
Uncertainty Contributor Magnitude Type Distribution Divisor df Std. Uncert
Variance (Std.
Uncert^2)
%
Contribution
u^4/df 3 900 0.027 0.003%
Reproducibility (see R & R sheet) 2.3094E+0 A Normal 1.000 10 2.31E+0 5.33E+0 99.55% 2.8E+0 4 1200 0.036 0.003%
Repeatability 77.9321E-3 A Normal 1.000 39 77.93E-3 6.07E-3 0.11% 945.8E-9 5 1500 0.045 0.003%
Standard Deviation 96.2500E-3 A Normal 1.000 200 96.25E-3 9.26E-3 0.17% 429.1E-9 6 1800 0.054 0.003%
Resolution of UUT 100.0000E-3 B Resolution 3.464 200 28.87E-3 833.33E-6 0.02% 3.5E-9 7 2100 0.063 0.003%
Environmental Conditions 13.5000E-3 B Rectangular 1.732 200 7.79E-3 60.75E-6 0.00% 18.5E-12 8 2400 0.072 0.003%
Stability of Ref Standard 150.0000E-3 B Rectangular 1.732 200 86.60E-3 7.50E-3 0.14% 281.3E-9 9 2700 0.081 0.003%
Ref Standard Resolution 23.0000E-3 B Resolution 3.464 200 6.64E-3 44.08E-6 0.00% 9.7E-12 10 3000 0.09 0.003%
Miscellaneous Error 3.0000E-3 B Rectangular 1.732 200 1.73E-3 3.00E-6 0.00% 45.0E-15 11
Morehouse CMC 48.0000E-3 B Expanded (95.45% k=2) 2.000 24.00E-3 576.00E-6 0.01% 12
2.31E+0 5.36E+0 100.00% 2.8E+0
10 Formula
NOTE: ONLY ENTER INFO IN GREY BOXES IN SECTION 1 UNLESS CHANGING DIST 2.23
5.16 0.28652%
Applied Run 1 Run 2 Run 3 Run 4 Average Std. Dev. Error Calculated Applied Ref CMC 0
1 300.00 300.0 300.0 300.0 300.0 300 0.057629373 0.0 300 300.00 0.000016 0.0048
2 600.00 600.1 600.0 600.0 600.0 600 0.049931344 0.0 600 600.00 0.000016 0.0096
3 900.00 900.1 899.9 900.0 900.0 900 0.081559037 0.0 900 900.00 0.000016 0.0144
4 1200.00 1200.1 1199.9 1200.0 1200.0 1200 0.08156809 0.0 1200 1200.00 0.000016 0.0192
5 1500.00 1500.0 1499.9 1500.0 1500.0 1500 0.099910081 0.0 1500 1500.00 0.000016 0.024
6 1800.00 1800.1 1799.9 1800.0 1800.0 1800 0.081590731 0.0 1800 1800.00 0.000016 0.0288
7 2100.00 2100.0 2099.9 2100.0 2100.0 2100 0.049967283 0.0 2100 2100.00 0.000016 0.0336
8 2400.00 2400.0 2399.9 2400.0 2400.0 2400 0.049971371 0.0 2400 2400.00 0.000016 0.0384
9 2700.00 2700.0 2700.0 2700.0 2700.0 2700 0.057706174 0.0 2700 2700.00 0.000016 0.0432
10 3000.00 2999.9 3000.0 3000.0 3000.1 3000 0.129041376 0.0 3000 3000.00 0.000016 0.048
11
12
Repeatability (Of Error) 7.19019E-14 0.077932 908.2951062 0
Slope 1
Intercept 0
SECTION 2 DATA ANALYSIS DISTRUBUTION IS THE ONLY COLUMN IN SECTION 2 THAT MAY NEED CHANGED
Slope Regression Worksheet
Average Standard Deviation of Runs
Combined Uncertainty (uc)=
Section 2 Measurement Uncertainty Budget Worksheet Data Analysis (Nothing below should need filled out)
Morehouse
N/A
Standards Used Ref S/N U-7644 UUT S/N Test
populates individual sheets
The grey column Ref CMC is what
Effective Degrees of Freedom
Coverage Factor (k) =
Expanded Uncertainty (U) =
Miscellaneous error
3500
Regression
V
u y
c u x
v
eff
c
i i
ii
N
=
=
å
4
4 4
1
( )
( )
Copyright Morehouse 2016 43
Conclusion
Isn’t it our job to audit a lab and ask how they
calculated their CMC? If so, assessor(s) must:
• Assess if they considered the impact on uncertainty
of fixturing and site deficiencies if not being used;
• The assessor should carefully review the contract
review process for completeness based on items
covered today;
• AB Staff & Assessors, are PTs with appropriate
artifacts being completed for force & torque?
44
Copyright Morehouse 2016

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Presentation on force measurement for accreditation bodies

  • 1. Best Practices For Force Measurement Common Measurement Errors, and Challenges on CMC uncertainty for Force Measurements Copyright Morehouse 2016 1
  • 2. Best Practices For Force Measurement Best measurement practice is communication with the end customer to best replicate with calibration, in your lab, how the instrument is being used. Copyright Morehouse 2016 2
  • 3. Best Practices For Force Measurement Henry Zumbrun II, President Morehouse Instrument Company 1742 Sixth Ave York, PA 17403 PH: 717-843-0081 web: www.mhforce.com info: hzumbrun@mhforce.com 3 The guy talking right now  Copyright Morehouse 2016
  • 4. Abstract This 1 hour session will cover the following: Common force measurement errors and the importance of calibrating the instrument in the manner it is being used Examples of CMC for Force Scopes Challenges on CMC uncertainty for force 4Copyright Morehouse 2016
  • 5. Documentation →ISO/IEC 17025 , 5.4.1 – The laboratory shall use the appropriate methods and procedures for all tests and/or calibrations within its scope. Importance: • The calibration must be performed using an acceptable and agreed upon calibration method or procedure (Contract Review). The results must be provided in a report with necessary information. What could go wrong?: • The reference laboratory may only check the calibration procedure and not mention the adapters used to perform the calibration. • Even the ASTM E74 standard is an incomplete calibration procedure and does not address measurement errors associated with the use of different calibration fixtures. This is significant source of error and variability between labs that adhere to ASTM E74-13a or other standards 5 Copyright Morehouse 2016
  • 6. ISO 376: 2011 ISO 376 recognizes the importance of adapters in reproducibility conditions of the measurement. Proper adaptor use in accordance with ISO 376 Annex A, helps ensure the reliability of reported measurements. Note: Annex A is not a requirement for labs to adhere to. A.4 Loading fittings A.4.1 General • Loading fittings should be designed in such a way that the line of force application is not distorted. As a rule, tensile force transducers should be fitted with two ball nuts, two ball cups and, if necessary, with two intermediate rings, while compressive force transducers should be fitted with one or two compression pads. 6 Copyright Morehouse 2016
  • 7. • Loaded with the proper Pin Diameter to 50,000 LBF 7 Tension Links Improper Vs Proper Pin Diameter
  • 8. • Loaded without the proper Pin Diameter to 50,000 LBF 8 Tension Links Improper Vs Proper Pin Diameter
  • 9. Tension Links Improper Vs Proper Pin Diameter Difference of 860 LBF or 1.72 % error at 50,000 LBF from not using the proper size load pins. Out of Tolerance Versus In Tolerance Note: Tension links of this design seem to exhibit similar problems. If you are unsure, TEST! 9Copyright Morehouse 2016
  • 10. Misalignment Demonstrating 0.752 % error 10 Misalignment on S-beam Output in mV/V Aligned in machine -1.96732 mV/V Output in mV/V Slightly misaligned in machine -1.98211 mV/V Copyright Morehouse 2016
  • 11. Misalignment Demonstrating 0.752 % Error 11 Misalignment on 10,000 LBF S-beam Output in mV/V Aligned in machine -1.96732 mV/V Expanded Uncertainty 9.95 LBF Output in mV/V Slightly misaligned in machine -1.98211 mV/V Expanded Uncertainty 85.0 LBF Copyright Morehouse 2016
  • 12. Misalignment S-Beam versus Shear web cell 12 S-BEAM WITH 0.75 % MISALIGNMNET ERROR VS MOREHOUSE WITH 0.0022 % ERROR MOREOUSE 10000 LBF SERIALNO EXAMPLE % Force Applied COMBINED UNCERTAINTY FOR K=2 2.00% 200 0.20836% 0.417 LBF 10.00% 1000 0.04179% 0.418 LBF 20.00% 2000 0.02108% 0.422 LBF 30.00% 3000 0.01426% 0.428 LBF 40.00% 4000 0.01091% 0.436 LBF 50.00% 5000 0.00894% 0.447 LBF 60.00% 6000 0.00766% 0.460 LBF 70.00% 7000 0.00677% 0.474 LBF 80.00% 8000 0.00613% 0.490 LBF 90.00% 9000 0.00565% 0.508 LBF 100.00% 10000 0.00527% 0.527 LBF S-BEAM 10000 LBF SERIAL NO EXAMPLE % Force Applied COMBINED UNCERTAINTY FOR K=2 2.00% 200 0.89076% 1.782 LBF 10.00% 1000 0.86705% 8.671 LBF 20.00% 2000 0.86630% 17.326 LBF 30.00% 3000 0.86616% 25.985 LBF 40.00% 4000 0.86612% 34.645 LBF 50.00% 5000 0.86609% 43.305 LBF 60.00% 6000 0.86608% 51.965 LBF 70.00% 7000 0.86607% 60.625 LBF 80.00% 8000 0.86607% 69.286 LBF 90.00% 9000 0.86607% 77.946 LBF 100.00% 10000 0.86606% 86.606 LBF Copyright Morehouse 2016
  • 13. Different Hardness of Top Adaptors  Example: A customer brought in a 1,000,000 LBF load cell for calibration. Morehouse performed a calibration. The output of the load cell was recorded as 1,500 LBF higher than the previous calibration for a force applied 1,000,000 LBF.  Is this a stability issue, or an adaptor issue?  After calling the customer, we were informed a new top loading block was supplied with this load cell for the current calibration. When we told them what was happening, they sent the original top loading block. When tested, the original block resulted in an output of 1,000,180 LBF when loaded to 1,000,000 LBF. 13 When using the new adaptor and figuring the measurement error between the different top blocks (adaptors), Expanded Uncertainty would have increased from 269 LBF with original top adaptor to 1,490 LBF using the newly fabricated adaptor. Copyright Morehouse 2016
  • 14. Loading Through Different Thread Depths 14 Below is a test Morehouse did with two different types of adaptors and recorded the readings with 10,000 LBF applied. Output was 10,001.5 LB with 1.5” of engagement vs 9942.3 LBF with 0.5” engagement. There was a difference of 59.2 LBF on a 10,000 LBF cell. Column Type Cell Model RFG/F226-01 Different Type Adaptors. 1.5” versus 0.5” engagement The error on this measurement was over 5 % on a device expected to be better than 0.025%. How are your devices being calibrated? Copyright Morehouse 2016
  • 15. Different Thread Depths 15 The top light grey line shows the difference in output when loading a shear web load cell at different thread depths The darker bottom line shows the difference in output when loading against the load cell shoulder. Copyright Morehouse 2016
  • 17. ALUMINUM LOAD CELL OUTPUT USING DIFFERENT COMPRESSION ADAPTERS LOADED TIGHT AGAINST THE SHOULDER Force Applied Adapter 1 Adapter 2 Adapter 3 Max Error Max Readings Readings Readings Between Adapters % Error 600 595.4 598.8 605.6 10.2 1.70% 1200 1191.2 1196.4 1205.1 13.9 1.16% 1800 1787.4 1793.4 1802.7 15.3 0.85% 2400 2383.2 2390.3 2399.7 16.5 0.69% 3000 2979.4 2987.1 2996.7 17.3 0.58% Note: This test was done on Aluminum type Shear Web Cell. Steel cells behave much differently. Aluminum cells are usually from 100 LBF - 3,000 LBF Aluminum Load Cell Top Fixture Test 600 1200 1800 2400 3000 Adapter 1 0.77% 0.74% 0.70% 0.70% 0.69% Adapter 2 0.20% 0.30% 0.37% 0.41% 0.43% Adapter 3 0.92% 0.42% 0.15% 0.01% 0.11% 0.00% 0.10% 0.20% 0.30% 0.40% 0.50% 0.60% 0.70% 0.80% 0.90% 1.00% ErrorPercentagefromnominal Different Top Adapter Test on a 3K Aluminum Load Cell 17Copyright Morehouse 2016
  • 18. Multi - Column Load Cell • Error associated with installing a non flat base on a multi- column cell. This is an actual test result we observed on a Revere multi-column cell. 18 Non Flat Base Flat Base Maximum Error Maximum Error Force Applied In Rotation In Rotation LBF LBF 30000 12 4 150000 136 24 300000 342 68 % error % error 30000 0.040% 0.013% 150000 0.091% 0.016% 300000 0.114% 0.023% Copyright Morehouse 2016
  • 19. Loading through the bottom threads in compression 19Copyright Morehouse 2016
  • 20. Loading through the bottom threads in compression 20Copyright Morehouse 2016
  • 21. Loading through the bottom threads in compression 21 MOREHOUSE 10000 LBF SERIAL NO EXAMPLE % Force Applied COMBINED UNCERTAINTY FOR K=2 2.00% 200 0.20834% 0.417 LBF 10.00% 1000 0.04171% 0.417 LBF 20.00% 2000 0.02093% 0.419 LBF 30.00% 3000 0.01403% 0.421 LBF 40.00% 4000 0.01061% 0.424 LBF 50.00% 5000 0.00857% 0.428 LBF 60.00% 6000 0.00723% 0.434 LBF 70.00% 7000 0.00628% 0.440 LBF 80.00% 8000 0.00558% 0.446 LBF 90.00% 9000 0.00504% 0.454 LBF 100.00% 10000 0.00462% 0.462 LBF If we calibrated the device against the base and the end user loaded through the bottom threads, the combined uncertainty of the measurement would go from 0.462 LBF to 1.461 LBF 0.012 % Error with different adapters vs loading against the base MOREHOUSE 10000 LBF SERIAL NO EXAMPLE % Force Applied COMBINED UNCERTAINTY FOR K=2 2.00% 200 0.20880% 0.418 LBF 10.00% 1000 0.04396% 0.440 LBF 20.00% 2000 0.02510% 0.502 LBF 30.00% 3000 0.01972% 0.592 LBF 40.00% 4000 0.01745% 0.698 LBF 50.00% 5000 0.01629% 0.815 LBF 60.00% 6000 0.01563% 0.938 LBF 70.00% 7000 0.01521% 1.065 LBF 80.00% 8000 0.01494% 1.195 LBF 90.00% 9000 0.01475% 1.327 LBF 100.00% 10000 0.01461% 1.461 LBF Copyright Morehouse 2016
  • 22. 10 Volt Versus 5 Volt DC Excitation 22Copyright Morehouse 2016
  • 23. Proper Fixtures Conclusion Communication with the customer is key to address these issues. Unfortunately, this does not always happen. Examples of this scenario are as follows: • 3rd party suppliers • Purchasing Departments • Management who does not care • Large Companies where it is difficult to reach the technician using the device. To minimize these errors, the Ideal solution would be to calibrate the device with the customer’s adaptors or have the customer send the appropriate adaptors to the reference lab for calibration. 23 Copyright Morehouse 2016
  • 24. Examples of Scopes - Morehouse Copyright Morehouse 2016 24
  • 25. Examples of Scopes – Secondary Standards lab Copyright Morehouse 2016 25
  • 26. Examples of Scopes – Secondary Standards Lab Copyright Morehouse 2016 26
  • 27. Examples of Scopes Torque numbers are questionable. Bending moments, unsupported arms, etc.., I have a paper from NPL showing most unsupported arms are no better than 0.02 % at best. Copyright Morehouse 2016 27
  • 28. Torque Bending Moments Figure 8 shows: •Transducer A (2kN-m transducer calibrated with 1.5 kN-m unsupported beam) •Transducer B (200N-m transducer calibrated with .5 kN-m unsupported beam) •Transducer C (1kN-m transducer calibrated with 1 kN-m unsupported beam) “A Comparison Between Supported and Unsupported Beams For Use in Static Torque Calibrations” by Andy Robinson and Barry Pratt revealed that the weight of unsupported calibration beams in relation to the capacity of the transducer is critical. Copyright Morehouse 2016 28
  • 29. Examples of Scopes – Working Standards Another interesting example. Morehouse provides calibration for X customer. Based on our knowledge the best X customer can obtain is 0.01 % of applied. It is more probable they are at 0.02 % Then X customer calibrates the device for another lab y. Y lab then claims values of above. 2 chain links away from primary standards and better CMC’’s than the secondary standards labs. ?????? More on this later Copyright Morehouse 2016 29
  • 30. ASTM E74 Calibration • The Class A or Class AA loading range cannot be less than the first applied non zero force point (400 x 0.132 = 52.8) • Per Section 8.6 of ASTM E74-13a “The loading range shall not include forces outside the range of forces applied during the calibration” • Per Section 7.2.1 of ASTM E74-13a states “In no case should the smallest force applied be below the lower limit of the instrument as defined by the values: 400 x resolution for Class A loading range & 2000 x resolution for Class AA loading range” 30Copyright Morehouse 2016
  • 31. ASTM E74 Calibration • It is recommended that the lower force limit be not less than2%( 1⁄50) of the capacity of the instrument. • Per Section 7.2.1 If the lower limit of the loading range of the device (see 8.6.1) is anticipated to be less than one tenth of the maximum force applied during calibration, then forces should be applied at or below this lower limit 31Copyright Morehouse 2016
  • 32. ASTM E74 Calibration Data Analysis • Deviations from the fitted curve • These are the differences between the fitted curve and the observed values • Standard Deviation is the square root of the sum of all the deviations squared/n-m-1 • N = sample size, m = the degree of polynomial fit • Calibration equation Deflection or Response = A0+A1(load)+A2(load)^2+…A5(load)^5 • LLF is 2.4 times the standard deviation • Class A range is 400 times the LLF. Class AA range is 2000 times the LLF. 32Copyright Morehouse 2016
  • 33. Test Accuracy Ratio ASTM E74 PRIMARY STANDARDS 0.005 % SECONDARY STANDARDS CLASS AA 0.05 % WORKING STANDARDS CLASS A 0.25 % TESTING MACHINE 1 % 33 Other types of calibrations performed may not adhere to any TAR, nor should they. The challenge is figuring out if they are calculating their CMC’s properly. Primary Standards are required to assign an ASTM Class AA loading range Those Secondary Standards with a Class AA range can only assign a Class A loading range Class A devices are then used to calibrate the testing machine to ASTM E4 Copyright Morehouse 2016
  • 34. ASTM E74 STANDARD • Remember Customer X Scope Example Copyright Morehouse 2016 34
  • 35. Calibration In Accordance with ASTM E74 Secondary Force Standard – an instrument or mechanism, the calibration of which has been established by comparison with primary force standards. Criteria for Lower Load Limit • LLF = 2.4 * STD DEV – This corresponds to a 98.2 % Coverage Factor • Based on LLF or Resolution whichever is higher • Class A 400 times the LLF or resolution • Class AA 2000 times the LLF or resolution 35Copyright Morehouse 2016
  • 36. ASTM E74 STANDARD • ASTM LLF is not the expanded uncertainty!! Copyright Morehouse 2016 36
  • 37. ASTM E74 STANDARD • The “Expanded Uncertainty” is less than the Reference Standard Uncertainty 98.2 % not 99 %Copyright Morehouse 2016 37
  • 38. Scope Issues →Example: • An AB acquires a new lab to audit. This lab is performing force calibration and is referencing the ASTM E74 standard using a set of load cells, 100K,50K,10K and 1K. This lab had their standards calibrated by another accredited lab using secondary standards. This lab becomes accredited and continues to perform Class A calibrations. →What does go wrong! • The reference lab would have to be using primary standards to assign a Class AA loading range. • The Class AA loading range allows this lab to calibrate devices and assign a Class A loading range. • In the example above, this lab would only be able to use their load cells for ASTM E4 (Field Testing) and not ASTM E74 calibrations. 38 Copyright Morehouse 2016
  • 39. Common Issues 1. CMC values are unrealistic 2. Auditors may not understand the true uncertainty components in regards to torque measurements. 3. Measurement Uncertainties reported to end customer are less than the scope CMC. 4. Lack of understanding the ASTM E74 standard. 39 Copyright Morehouse 2016
  • 40. Calculating Force CMC’s Guidance Documents • NCSLI RP-12 • Lack of proper guidance document for non ASTM E74 • ASTM E74 Appendix combined with A2LA R205 Copyright Morehouse 2016 40
  • 41. Force CMC for ASTM E 74 Calibrations We will need the following: 1. Calibration Report for the Device. 2. The uncertainty of the instrument(s) that were used to perform the calibration 3. Calibration History (if available) 4. Manufacturer’s Specification Sheet 5. Error Sources, if known The end user will then have to conduct the following tests: 1. Repeatability study 2. R & R between technicians 3. Complete Proficiency Testing Requirements Copyright Morehouse 2016 41
  • 42. Morehouse CMC http://www.mhforce.com/s/CMC-CALCULATIONS-FOR-FORCE-MEASUREMENTS.xlsx Laboratory Temperature Technician Initials All information entered must converted to like units. FORCE Change From Interporlated Actual Effect Date: This spreadsheet is provided by Morehouse Instrument Company APPLIED Previous % 0 LBF 0.000015 Range It is to be used as a guide to help calculate CMC 1 300 0.0500% 0.15 0.15 0.0045 Standards Used Ref and UUT 2 600 0.0500% 0.15 0.3 0.009 3 900 0.0500% 0.30 0.45 0.0135 Resolution UUT 0.1 LBF This is the resolution of the Unit Under Test you are Using for the Repeatability Study (What you are testing) 4 1200 0.0500% 0.60 0.6 0.018 5 1500 0.0500% 0.75 0.75 0.0225 REFERENCE STANDARD INFORMATION 6 1800 0.0500% 0.90 0.9 0.027 ASTM E74 LLF * 0.231 LBF 7 2100 0.0500% 1.05 1.05 0.0315 Resolution of Reference 0.023 LBF This should be found on your calibration report. 8 2400 0.0500% 1.20 1.2 0.036 Temperature Spec per degree C % 0.0015% This is found on the load cell specification sheet. Temperature Effect on Sensitivity, % RDG/100 F 9 2700 0.0500% 1.35 1.35 0.0405 10 3000 0.0500% 1.50 1.5 0.045 Max Temperature Variation 11 per degree C of Environment 1 During a typical calibration in a tightly controlled the temperature varies by no more than 1 degree C. 12 Morehouse CMC 0.0016% This is the CMC statement for the range calibrated found on the certificate of calibration. Leave blank if entering Eng. Units Miscellaneous Error 0.003 % Conv Repeatability Data To Eng. Units YES MUST SELECT Applied Run1 Run2 Run3 Run4 Average Resolution STD DEV CONVERTED Force % Eng. Units Conv % Force % or Eng. 1 300.00 300.5 300.5 300.6 300.6 300.55 0.998170022 0.05773503 0.05762937 300 0.0016% 0.000016 300 % 2 600.00 600.9 600.8 600.8 600.8 600.825 0.998626888 0.05000000 0.04993134 600 0.0016% 0.000016 600 % 3 900.00 901.1 900.9 901 901 901 0.998890122 0.08164966 0.08155904 900 0.0016% 0.000016 900 % 4 1200.00 1201.3 1201.1 1201.2 1201.2 1201.2 0.999000999 0.08164966 0.08156809 1200 0.0016% 0.000016 1200 % 5 1500.00 1501.4 1501.2 1501.4 1501.4 1501.35 0.999100809 0.10000000 0.09991008 1500 0.0016% 0.000016 1500 % 6 1800.00 1801.4 1801.2 1801.3 1801.3 1801.3 0.999278299 0.08164966 0.08159073 1800 0.0016% 0.000016 1800 % 7 2100.00 2101.4 2101.3 2101.4 2101.4 2101.375 0.999345667 0.05000000 0.04996728 2100 0.0016% 0.000016 2100 % 8 2400.00 2401.4 2401.3 2401.4 2401.4 2401.375 0.999427411 0.05000000 0.04997137 2400 0.0016% 0.000016 2400 % 9 2700.00 2701.4 2701.4 2701.3 2701.3 2701.35 0.99950025 0.05773503 0.05770617 2700 0.0016% 0.000016 2700 % 10 3000.00 3001.2 3001.3 3001.4 3001.5 3001.35 0.999550202 0.12909944 0.12904138 3000 0.0016% 0.000016 3000 % 11 0.0016% 0.000016 % 12 0.0016% 0.000016 % Avg Std Dev of Runs 0.07799573 0.07793211 Ref S/N U-7644 UUT S/N Test NOTE: ONLY ENTER INFORMATION IN LIGHT GREY BOXESSECTION 1 DATA ENTRY This can be creep, side load sensitivity or other known error sources. Enter and select Eng. Units or % Repeatability of UUT Ref Laboratory Uncertainty Per Point Morehouse HZ 2/26/2016 1K-5 K * This is your ASTME74 LLF Found on Your ASTME74 Report. It will be converted to a pooled std dev (drop down for non ASTM) Ref Standard Stability Morehouse Measurement Uncertainty Calibration and Measurement Capability Worksheet START ON THIS SHEET AND FILL IN ONLY LIGHT GREY BOXES Copyright Morehouse 2016 42
  • 43. Morehouse CMC http://www.mhforce.com/s/CMC-CALCULATIONS-FOR-FORCE-MEASUREMENTS.xlsx Laboratory % Parameter FORCE Range 1K-5 K Sub-Range Force % Reading Technician HZ 1 300 0.009 0.003% Date 2/26/2016 2 600 0.018 0.003% Uncertainty Contributor Magnitude Type Distribution Divisor df Std. Uncert Variance (Std. Uncert^2) % Contribution u^4/df 3 900 0.027 0.003% Reproducibility (see R & R sheet) 2.3094E+0 A Normal 1.000 10 2.31E+0 5.33E+0 99.55% 2.8E+0 4 1200 0.036 0.003% Repeatability 77.9321E-3 A Normal 1.000 39 77.93E-3 6.07E-3 0.11% 945.8E-9 5 1500 0.045 0.003% Standard Deviation 96.2500E-3 A Normal 1.000 200 96.25E-3 9.26E-3 0.17% 429.1E-9 6 1800 0.054 0.003% Resolution of UUT 100.0000E-3 B Resolution 3.464 200 28.87E-3 833.33E-6 0.02% 3.5E-9 7 2100 0.063 0.003% Environmental Conditions 13.5000E-3 B Rectangular 1.732 200 7.79E-3 60.75E-6 0.00% 18.5E-12 8 2400 0.072 0.003% Stability of Ref Standard 150.0000E-3 B Rectangular 1.732 200 86.60E-3 7.50E-3 0.14% 281.3E-9 9 2700 0.081 0.003% Ref Standard Resolution 23.0000E-3 B Resolution 3.464 200 6.64E-3 44.08E-6 0.00% 9.7E-12 10 3000 0.09 0.003% Miscellaneous Error 3.0000E-3 B Rectangular 1.732 200 1.73E-3 3.00E-6 0.00% 45.0E-15 11 Morehouse CMC 48.0000E-3 B Expanded (95.45% k=2) 2.000 24.00E-3 576.00E-6 0.01% 12 2.31E+0 5.36E+0 100.00% 2.8E+0 10 Formula NOTE: ONLY ENTER INFO IN GREY BOXES IN SECTION 1 UNLESS CHANGING DIST 2.23 5.16 0.28652% Applied Run 1 Run 2 Run 3 Run 4 Average Std. Dev. Error Calculated Applied Ref CMC 0 1 300.00 300.0 300.0 300.0 300.0 300 0.057629373 0.0 300 300.00 0.000016 0.0048 2 600.00 600.1 600.0 600.0 600.0 600 0.049931344 0.0 600 600.00 0.000016 0.0096 3 900.00 900.1 899.9 900.0 900.0 900 0.081559037 0.0 900 900.00 0.000016 0.0144 4 1200.00 1200.1 1199.9 1200.0 1200.0 1200 0.08156809 0.0 1200 1200.00 0.000016 0.0192 5 1500.00 1500.0 1499.9 1500.0 1500.0 1500 0.099910081 0.0 1500 1500.00 0.000016 0.024 6 1800.00 1800.1 1799.9 1800.0 1800.0 1800 0.081590731 0.0 1800 1800.00 0.000016 0.0288 7 2100.00 2100.0 2099.9 2100.0 2100.0 2100 0.049967283 0.0 2100 2100.00 0.000016 0.0336 8 2400.00 2400.0 2399.9 2400.0 2400.0 2400 0.049971371 0.0 2400 2400.00 0.000016 0.0384 9 2700.00 2700.0 2700.0 2700.0 2700.0 2700 0.057706174 0.0 2700 2700.00 0.000016 0.0432 10 3000.00 2999.9 3000.0 3000.0 3000.1 3000 0.129041376 0.0 3000 3000.00 0.000016 0.048 11 12 Repeatability (Of Error) 7.19019E-14 0.077932 908.2951062 0 Slope 1 Intercept 0 SECTION 2 DATA ANALYSIS DISTRUBUTION IS THE ONLY COLUMN IN SECTION 2 THAT MAY NEED CHANGED Slope Regression Worksheet Average Standard Deviation of Runs Combined Uncertainty (uc)= Section 2 Measurement Uncertainty Budget Worksheet Data Analysis (Nothing below should need filled out) Morehouse N/A Standards Used Ref S/N U-7644 UUT S/N Test populates individual sheets The grey column Ref CMC is what Effective Degrees of Freedom Coverage Factor (k) = Expanded Uncertainty (U) = Miscellaneous error 3500 Regression V u y c u x v eff c i i ii N = = å 4 4 4 1 ( ) ( ) Copyright Morehouse 2016 43
  • 44. Conclusion Isn’t it our job to audit a lab and ask how they calculated their CMC? If so, assessor(s) must: • Assess if they considered the impact on uncertainty of fixturing and site deficiencies if not being used; • The assessor should carefully review the contract review process for completeness based on items covered today; • AB Staff & Assessors, are PTs with appropriate artifacts being completed for force & torque? 44 Copyright Morehouse 2016