Using Three (3) Gage Pins to Check Hole

Proud Liberal

Quite Involved in Discussions
#1
Using Three (3) Gage Pins to Check Hole Ø

I'm looking for the formulas to calculate what three (3) different sized gage pins that would combine to form the desired final diameter such that three smaller diameters would be tangent to each other and the circumscribed OD (plus the calculation of the reverse).

ØA & ØB &ØC = ØD

The goal is to setup a spreadsheet where an inspector could enter the size hole that they would like to check and the formula would spit out the three (3) pin sizes that would combine to get that number.

Alternatively, the inspector could enter three (3) pin diameters that combine to fit the part and the formula would return the resulting OD.

NOTE: the use of the term OD is this case refers to the larger diameter that would tangent to the three (3) gage pin diameters used to check the part.
 
Elsmar Forum Sponsor

bobdoering

Stop X-bar/R Madness!!
Trusted Information Resource
#2
Re: Using Three (3) Gage Pins to Check Hole Ø

This may be an aside, but in general what tolerance are you trying to measure using this technique? Do you know if there is lobing in the hole, and if so two or three lobe?
 

Kales Veggie

People: The Vital Few
#3
Re: Using Three (3) Gage Pins to Check Hole Ø

I'm looking for the formulas to calculate what three (3) different sized gage pins that would combine to form the desired final diameter such that three smaller diameters would be tangent to each other and the circumscribed OD (plus the calculation of the reverse).

ØA & ØB &ØC = ØD

The goal is to setup a spreadsheet where an inspector could enter the size hole that they would like to check and the formula would spit out the three (3) pin sizes that would combine to get that number.

Alternatively, the inspector could enter three (3) pin diameters that combine to fit the part and the formula would return the resulting OD.

NOTE: the use of the term OD is this case refers to the larger diameter that would tangent to the three (3) gage pin diameters used to check the part.
This seems a complicated method to measure hole size. Have you considered alternatives (and measure variable data).
 

Tim Folkerts

Super Moderator
#4
Re: Using Three (3) Gage Pins to Check Hole Ø

Here is a solution for drawing such a circumscribed circle around three circles, but you would have to do a bit a math to calcualte the sizes
http://mathforum.org/library/drmath/view/55110.html

Here is a research paper on the problem. You would have to pay for the full paper (or perhaps contact the authors directly).
http://www.springerlink.com/content/lbyfy3kr1anr9gqy/

Neither looks like a simple project! I expect that buying some more pins of the proper sizes will be cheaper and easier in the end.

I suspect that if you did get it to work, the best solution would be to basically create a table with all the combinations of pin sizes you have, sort it by the final diameter, and then look up the closest size in the table.


Tim F

P.S. the problem of packing IDENTICAL circles in a larger circle is well known. That might be a place to start. http://en.wikipedia.org/wiki/Packing_problem
 

bobdoering

Stop X-bar/R Madness!!
Trusted Information Resource
#5
Re: Using Three (3) Gage Pins to Check Hole Ø

I suspect that if you did get it to work, the best solution would be to basically create a table with all the combinations of pin sizes you have, sort it by the final diameter, and then look up the closest size in the table.
Yes, and consider the error of multiple "fits", as well as the feel of overall fit. You might have to verify the calibration and GR&R with some ring gages to see how close you are getting, depending on the tolerance. Man, if you have taper and lobing in the hole, you might as well just put spaghetti in there! :tg:

After all, all gages are 'bad', but they might be 'good enough'! This technique might be good enough if the tolerances are wide open.
 

Proud Liberal

Quite Involved in Discussions
#6
Re: Using Three (3) Gage Pins to Check Hole Ø

The process is plastic injection molding (fairly large tolerances). Thanx all for the help. I'm on the right path.
 
Thread starter Similar threads Forum Replies Date
I Flatness - Rectangular part using the three jack method Inspection, Prints (Drawings), Testing, Sampling and Related Topics 10
T Constant for a M3x.35 Set Plug using the "Three-Wire Method" Calibration and Metrology Software and Hardware 2
D How to make a Three Dimensional graph using Excel? Excel .xls Spreadsheet Templates and Tools 1
J Incoming Inspection Records using Excel File ISO 13485:2016 - Medical Device Quality Management Systems 2
J Using ring gauges General Measurement Device and Calibration Topics 2
M Load Cell Calibration using a totalizer on a flow meter General Measurement Device and Calibration Topics 0
P Can Neoprene be Cleaned Using Isopropyl Alcohol (IPA) Manufacturing and Related Processes 4
GreatNate Anyone using the Intellect QMS software? Quality Assurance and Compliance Software Tools and Solutions 1
chris1price Sterilization using beta radiation Other Medical Device Related Standards 2
M Using the phrase "herein referred to" Document Control Systems, Procedures, Forms and Templates 8
B Struggling with using the 5.6 version Ford Capacity Analysis Report APQP and PPAP 5
cnbrosa Study Type 1 on a CMM using a measuring support Gage R&R (GR&R) and MSA (Measurement Systems Analysis) 4
R MRB (Material Review Board) Process using MS Sharepoint or MS Teams Manufacturing and Related Processes 2
K 510k FDA review, will they accept Biocompatibility result generated using feasibility product lots? 21 CFR Part 820 - US FDA Quality System Regulations (QSR) 8
B AS9100D 7.1.5.2 Calibration or Verification Method using outside cal lab AS9100, IAQG, NADCAP and Aerospace related Standards and Requirements 1
U Medical Device CE Marking - Using a disposable bearing CE Marking (Conformité Européene) / CB Scheme 3
D Calibration tolerance question using Pipettes Medical Device and FDA Regulations and Standards News 1
D Risk Analysis using Monte Carlo Simulation instead of Scoring and Heat Map Risk Management Principles and Generic Guidelines 2
W Using tailoring guidelines to tailor a QMS procedure ISO 9000, ISO 9001, and ISO 9004 Quality Management Systems Standards 2
Y We found out we have been using a equipment without validation for past 4 years Quality Manager and Management Related Issues 6
D Using Laboratory Notebooks in R&D and Design and Development ISO 13485:2016 - Medical Device Quality Management Systems 3
C Importer shell game - Using a third party logistics provider (3PL) in the EU EU Medical Device Regulations 5
S Work performed in Canada on US patients using US device Canada Medical Device Regulations 1
S Is using ANSI/ASQ Z1.4-2008 the correct sampling plan to determine Pass/Fail of Apparel measurements? AQL - Acceptable Quality Level 4
A What are the pros and cons of using an audit software for internal auditing? General Auditing Discussions 7
Tagin Evaluating nonconformances for escalation using Bayesian methods? Statistical Analysis Tools, Techniques and SPC 2
D Using non-conforming components even though the final assembly is conforming? Manufacturing and Related Processes 5
B Using Unreleased Documents & Process Maps for Internal Audit purposes ISO 9000, ISO 9001, and ISO 9004 Quality Management Systems Standards 12
R Clause 7.7 Replicate, Recalibration and Intermediate checks using Artifact ISO 17025 related Discussions 1
Stoic Are any medical device companies using the 2011 FDA process validation guidance instead of GHTF/SG3/N99-10:2004? 21 CFR Part 820 - US FDA Quality System Regulations (QSR) 1
B Unit of Use DI (Device Identifier) - Products using the same device US Food and Drug Administration (FDA) 0
A Using Arduino based sensors for Poke-Yoke Manufacturing and Related Processes 6
M Using your Manufacturer's ISO certification ISO 13485:2016 - Medical Device Quality Management Systems 5
Ed Panek Adverse Event Clinical Trial using a 510K approved Device Other US Medical Device Regulations 6
B Using non CE parts in a machine CE Marking (Conformité Européene) / CB Scheme 1
G Gauge R&R on multiple dimensions using 3D measurement system Capability, Accuracy and Stability - Processes, Machines, etc. 6
A Hospital IT expectations for connected medical device using WIFI Medical Information Technology, Medical Software and Health Informatics 0
Proud Liberal Cp / Cpk on position using multiple MMC bonuses Capability, Accuracy and Stability - Processes, Machines, etc. 2
B Using external FDA and ISO 13485 audit as internal audit Internal Auditing 6
D Using "Particle Size Standard" templates as gauges - How to avoid giving a gauge # while using for process control? General Measurement Device and Calibration Topics 2
J Class 1 Medical Device - Using a UPC over the UDI? 21 CFR Part 820 - US FDA Quality System Regulations (QSR) 0
I Reducing CE marking cost using manufacturer test reports CE Marking (Conformité Européene) / CB Scheme 5
CPhelan Using clinical trial safety data for evidence for CE marking EU Medical Device Regulations 8
M Accredited Calibration Sevice Provider using computerized system to issue calibration certificate Qualification and Validation (including 21 CFR Part 11) 3
M Accredited Calibration Sevice Provider using computerized system to issue calibration certificate General Measurement Device and Calibration Topics 2
M Raw stock material testing discrepancy using an XRF (x-ray fluorescence) analyzer Manufacturing and Related Processes 7
Z Using FMEA for Knowledge Management FMEA and Control Plans 6
Sidney Vianna NASA to Develop a Novel Approach for All-Electric Aircraft Using Cryogenic Liquid Hydrogen as Energy Storage World News 2
S How many of you are using Robotic process automation for calibration lab management? ISO 17025 related Discussions 0
J Including Repeats in DoE using Minitab Using Minitab Software 5

Similar threads

Top Bottom