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- Jun 10, 2013
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Measurement Basics 101 - or just a few tidbits I've picked up over the years.....
Or Metrology 101
Metrology is the science that deals with measurement (not to be confused with meteorology which you watch after the news). Metrologist: One who measures or deals with the science of measurement.
We all measure things; 2 x 4’s, curtain rods, cylinder bores and such. But what is the best way and how accurate do we need to be?
First a couple of definitions;
Accuracy:
Precision:
You can see from the above that if you are always accurate you are precise but you can be precise but not accurate. How’s that? If you take a measurement 5 times and the known true value is 1.000 but you get numbers like:
.990, .991, .989, .990 & .990 then you are very precise but not very accurate.
Resolution is the ability to discern one number from another. It’s impossible to read to the thousandths of an inch (.001) with a tape measure but easy with a micrometer. The micrometer has better resolution than the tape measure but the tape measure has a greater range.
Implied digits:
In engineering the number of digits to the right of the decimal implies, or indicates the accuracy of the dimension. A typical scenario might be something like this:
1.” = +/- .050”
1.0” = +/- .030”
1.00” = +/- .010”
1.000” = +/- .005”
Nothing is exact, there is always a tolerance. If you say “my cylinder bore measures 2.501” it might be 2.5012 or 2.5008 but it is not 2.501000000000. Of course theoretically it could be but without the proper (and expensive) measurement equipment the point is moot.
Calibration is to compare your equipment to a known standard. “Old Faithful” micrometer may fit your hand like a glove but if it hasn’t been calibrated its reading is suspect. You will need a Gage Block to check your micrometer. Most gage blocks are accurate to a few millionths (.000001) of their nominal dimension. These are available from your local industrial tool distributor. Calibration can apply to your radar gun also – or almost anything that takes a measurement is a candidate.
For checking shafts for out-of-roundness you will need a dial indicator. Many come with a magnetic stand or offer other ways of mounting. Additionally a “V Block set” is necessary to support the ends of what you want to check. None of this does any good with out a good starting surface and they have thought of that too. A Surface Plate is used as a base for most metrology work. Most surface plates are made from granite although some steel surface plates are also used.
Surface finish is generally measured in Ra (Roughness Average) and is usually expressed in microinches. A polished surface may be a 1 to 4 whereas a drilled or milled surface may be a 125. Smoother may not always be better. Surface finish can have a large impact on part performance, it all depends on the application and requirements. SF measurement is usually not a home measurement process, it is only mentioned as something that should be taken into account when specifying part geometry or for specific performance requirements. A good guide can be found in Machinery’s Handbook – the standard reference book.
One degree: One seems like a small number but it can be significant. The naked eye is actually very good at discerning small angles. If a 40’ long house is not square by one degree it is off 8”. If the Golden Gate Bridge was one degree off over its length it would be off by 73 feet! Your 1” long part that’s 1 degree out of square is shorter on one side that the other by .0175”. Moral; get a machinist square – or learn Trigonometry.
So, what should I buy?
The undoubted universal measuring tool is called the Dial Caliper, or these days the Electronic Caliper. In general the higher the cost the more durable with more features. Cheaper calipers, although fairly accurate, usually lack the durability and “feel” of the higher priced units. 6” calipers can cost anywhere from $20 to $200 – get one. I recently bought a 4” caliper for $12 – new, I wouldn’t use this on the Space Shuttle but as a back up it works just fine. Most people prefer the digital variety however the old stand-by analog dial type has been working superbly for decades. Avoid vernier calipers – buy one and you will find out why.
Expect accuracy of +/- .002” although manufacturers will claim better. The resolution on many electronic calipers is .0005 (the last digit is either a 0 or 5) but it is largely ignored – see the accuracy statement above. If you need accuracy of less than .001” then the caliper is the wrong tool anyway. For home use, avoid spending money on calipers with SPC output (used for data collection in industry) or the like. You should not be measuring cylinder bores or pistons with a caliper.
A 0-1” micrometer is also a standard in many tool boxes. Most can accurately measure to the nearest .0001”. For reference, a human hair measures about .003”. The price/quality scenario applies to micrometers much as it does for most things in life.
Of course the above just scratches the surface of the available tools and scenarios, get an ENCO (edit Feb 2017 - ENCO got absorbed into MSC Ind Supply - there is really no shortage of places online to find measurement instruments) catalog or the like and start shopping, the possibilities are endless.
You’ll be measuring like a pro with a few simple rules; have the proper measuring device for the job, keep things clean, avoid parallax errors (measuring jaws not flat or square with a surface), and calibrate. And… critical measurements can be temperature sensitive as materials expand when heated.
Jim
Or Metrology 101
Metrology is the science that deals with measurement (not to be confused with meteorology which you watch after the news). Metrologist: One who measures or deals with the science of measurement.
We all measure things; 2 x 4’s, curtain rods, cylinder bores and such. But what is the best way and how accurate do we need to be?
First a couple of definitions;
Accuracy:
- Conformity to fact.
- Precision; exactness.
- The ability of a measurement to match the actual value of the quantity being measured.
Precision:
- The ability of a measurement to be consistently reproduced.
- The number of significant digits to which a value has been reliably measured.
You can see from the above that if you are always accurate you are precise but you can be precise but not accurate. How’s that? If you take a measurement 5 times and the known true value is 1.000 but you get numbers like:
.990, .991, .989, .990 & .990 then you are very precise but not very accurate.
Resolution is the ability to discern one number from another. It’s impossible to read to the thousandths of an inch (.001) with a tape measure but easy with a micrometer. The micrometer has better resolution than the tape measure but the tape measure has a greater range.
Implied digits:
In engineering the number of digits to the right of the decimal implies, or indicates the accuracy of the dimension. A typical scenario might be something like this:
1.” = +/- .050”
1.0” = +/- .030”
1.00” = +/- .010”
1.000” = +/- .005”
Nothing is exact, there is always a tolerance. If you say “my cylinder bore measures 2.501” it might be 2.5012 or 2.5008 but it is not 2.501000000000. Of course theoretically it could be but without the proper (and expensive) measurement equipment the point is moot.
Calibration is to compare your equipment to a known standard. “Old Faithful” micrometer may fit your hand like a glove but if it hasn’t been calibrated its reading is suspect. You will need a Gage Block to check your micrometer. Most gage blocks are accurate to a few millionths (.000001) of their nominal dimension. These are available from your local industrial tool distributor. Calibration can apply to your radar gun also – or almost anything that takes a measurement is a candidate.
For checking shafts for out-of-roundness you will need a dial indicator. Many come with a magnetic stand or offer other ways of mounting. Additionally a “V Block set” is necessary to support the ends of what you want to check. None of this does any good with out a good starting surface and they have thought of that too. A Surface Plate is used as a base for most metrology work. Most surface plates are made from granite although some steel surface plates are also used.
Surface finish is generally measured in Ra (Roughness Average) and is usually expressed in microinches. A polished surface may be a 1 to 4 whereas a drilled or milled surface may be a 125. Smoother may not always be better. Surface finish can have a large impact on part performance, it all depends on the application and requirements. SF measurement is usually not a home measurement process, it is only mentioned as something that should be taken into account when specifying part geometry or for specific performance requirements. A good guide can be found in Machinery’s Handbook – the standard reference book.
One degree: One seems like a small number but it can be significant. The naked eye is actually very good at discerning small angles. If a 40’ long house is not square by one degree it is off 8”. If the Golden Gate Bridge was one degree off over its length it would be off by 73 feet! Your 1” long part that’s 1 degree out of square is shorter on one side that the other by .0175”. Moral; get a machinist square – or learn Trigonometry.
So, what should I buy?
The undoubted universal measuring tool is called the Dial Caliper, or these days the Electronic Caliper. In general the higher the cost the more durable with more features. Cheaper calipers, although fairly accurate, usually lack the durability and “feel” of the higher priced units. 6” calipers can cost anywhere from $20 to $200 – get one. I recently bought a 4” caliper for $12 – new, I wouldn’t use this on the Space Shuttle but as a back up it works just fine. Most people prefer the digital variety however the old stand-by analog dial type has been working superbly for decades. Avoid vernier calipers – buy one and you will find out why.
Expect accuracy of +/- .002” although manufacturers will claim better. The resolution on many electronic calipers is .0005 (the last digit is either a 0 or 5) but it is largely ignored – see the accuracy statement above. If you need accuracy of less than .001” then the caliper is the wrong tool anyway. For home use, avoid spending money on calipers with SPC output (used for data collection in industry) or the like. You should not be measuring cylinder bores or pistons with a caliper.
A 0-1” micrometer is also a standard in many tool boxes. Most can accurately measure to the nearest .0001”. For reference, a human hair measures about .003”. The price/quality scenario applies to micrometers much as it does for most things in life.
Of course the above just scratches the surface of the available tools and scenarios, get an ENCO (edit Feb 2017 - ENCO got absorbed into MSC Ind Supply - there is really no shortage of places online to find measurement instruments) catalog or the like and start shopping, the possibilities are endless.
You’ll be measuring like a pro with a few simple rules; have the proper measuring device for the job, keep things clean, avoid parallax errors (measuring jaws not flat or square with a surface), and calibrate. And… critical measurements can be temperature sensitive as materials expand when heated.
Jim
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