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Metric or Imperial, Fractions or Decimals

Dimensioning drawings

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Bruce Voelkerding22/01/2011 20:46:10
77 forum posts
7 photos
Hi, Rod.
I am a mechanical engineer in the States. A lot of work here is still done in the inch systemsince inch-sizedmaterial and fasteners are more readily available than metric sized stock or fasteners.
In machine design, one rarely sees fractions. More common is two place decimals for loose-toleranced parts (original 1/8" -> .13" with a +/-.01" tolerance) and three place tight-toleranced parts ( original 1/8" -> .125" with a +/-.001" tolerance). But, many working machinists will take a .13" dimension and machine to .125". Sort of goofy, eh ? We should have converted to metric in the 70's.
I have a question: a year or two ago, a contributor in Model Engineer remarked that conversion from fraction to decimal is easy "if you know the system". I have always wondered what he meant ? Theconversion is interesting - a deciaml equivalent is always similar to a "higher" order fraction such as:
19/64 = .296875 contains:
.96875 = 31/32
.6875 = 11/16
.875 = 7/8
.75 = 3/4
.5 = 1/2
This why the deciaml equivalents have a certain feel about them. If one sees19/64 =".2986375", one knows instantly it's incorrect, since there is no ".6375" in the series. ( I am assuming one has at least the 16ths memorized.)
Therefore, if one can determine the first say three digits of an odd 64th fraction, filling in the remainding terms is easy as they have to fit the pattern above. Personally I work in what we call "decimal-fractions", that is, if I am using 5/16" stock I enter that as .3125" in the CAD drawing, even though it may only be dimensioned two-place (.31").
Any ideas ?
John Olsen22/01/2011 23:50:07
1294 forum posts
108 photos
1 articles
Well, I have always thought the Americans were sensible because they tended to mostly use decimal fractions on their drawings, and, even more important, used third angle projection. I alway though the arguments in vavour of first angle were pretty specious...yes, if I put a semi transparent version of the object in a box and shine a light through, I will get the top view at the bottom, the left view at the right, and so on. However, that is not actually how I use the drawing, and being human I tend to look for the view of the left hand side on the left, where it would be in real life. The only thing about American drawings I have not liked is those funny fasteners...how big is 10-32 anyway? But BA is open to the same objection.What I don't like is having to add up a string of inch fractions to arrive at the actual figure to machine. You know the sort of thing, 5/8 +13/16 + 7/32. (Now was that supposed to thirteen sixteenths or one and three sixteenths...?)
On the Pi thing, may I (hopefully) clarify things a little. Pi is an irrational number. In mathematical lingo, that means that it cannot be expressed as a whole number fraction. There is no pair of whole numbers a/b that will equal Pi. The same is true for the square root of two, "e" and a whole lot of other interesting numbers. A decimal fraction is still a fraction, just written differently to save space. For example 0.123 = 123/1000. It follows that there is no decimal fraction, no matter how long, that exactly expresses Pi, or root 2 or e for that matter. As engineers this does not matter to us, since nothing we make is actually perfectly circular anyway, and we can rarely measure things to better than four digits accuracy anyway.
On the original topic, I think we are at the point now where metric should be the preferred system for all new work . Yes, the system is not without its idiosyncracies. I grew up with Imperial, have worked in both, and find I prefer metric.
regards
John
Terryd23/01/2011 00:47:24
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1946 forum posts
179 photos
hi John
 
Pi is a transcendental number as well as an irrational one. As an amateur mathematician I find it fascinating, Have you tried looking at is as a Gregory-Leibniz series, it's most interesting
 
Best regards
 
Terry

Edited By Terryd on 23/01/2011 00:47:40

John Stevenson23/01/2011 01:45:38
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5068 forum posts
3 photos
Fractions?
I have yet to see any machine tool with the dials graduated in fractions.
Wood working machines don't count, we are talking accuracy here not axe strokes.
John S.
Terryd23/01/2011 11:13:23
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1946 forum posts
179 photos
Hi John,
 
All I pointed out was that Mathematically fractions are exact numbers, inferring calculations using fractional numbers i.e. nothing to do with machines or measuring. Just because computers and calculators use digital and decimal systems which are often at best close approximations does not alter the fact I said nothing about fractional measures except that we used to use them for large structural projects. I wish folks would read posts properly and fully so that they can understand exactly what is meant before commenting.
 
By the way, try making a set of hidden mitre dovetails with an axe.
 
Regards
 
Terry

Edited By Terryd on 23/01/2011 11:14:23

Nigel Graham 221/05/2021 22:10:58
3293 forum posts
112 photos

The practice cited in the OP, of both fractions and decimals of inches, was also once common in industry.

I would advocate that consistency and how the dimensions are given, are what really matter though.

If using inches, you could use 3-place decimals for machined parts but 2 where less critical, but given that it's probably much more common now to use machine-tools for most of our workshop operations, all-decimal anyway would make sense.

I would advocate too, thinking how the part is to be made before dimensioning it, to avoid the builder having to re-calculate datum faces and the like. Not everyone has digital read-outs on their machines, let alone NC machines, but even with these it is still worth thoughtful datum locations to minimise movements and reversals.

'

As for Pi... Mathematical Pi is still published!

Brian H21/05/2021 22:56:25
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2312 forum posts
112 photos

With regards to machines, with the advent of cheap DROs it really doesn't matter. I normally work in inches because I make models of 18th & 19th century items and my 'newest' machine is a metric Senior Major ELT but it came fitted with Mitutoyo DRO so no problems.

Brian

old mart22/05/2021 18:54:15
4655 forum posts
304 photos

Using either type of decimal measurements is fine, but try to avoid fractions.

Roderick Jenkins22/05/2021 19:00:39
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2376 forum posts
800 photos

Guys,

Thank you for your input. You've resurrected my very first forum post from 10 years ago smiley

Cheers and stay well,

Rod

Howard Lewis22/05/2021 20:04:37
7227 forum posts
21 photos

When dimensioning drawings, in what ever units you choose, it is better to use co ordinate dimensions rather than "point to point", since any build up of tolerances or errors should not then be cumulative.

If you consistently make an error, the effect is likely to be less than dimensioning from one point to another, (which will make the error cumulative ). It is amazing how the odd thou , each time, can build up into an unacceptable discrepancy.

Co ordinates is the way that Industry has done things for many years.

Howard

Mick B122/05/2021 20:54:15
2444 forum posts
139 photos
Posted by John Olsen on 22/01/2011 23:50:07:
...
I alway though the arguments in vavour of first angle were pretty specious...
 
...
regards
John
 

So do I. If I got a first angle GA of the Titanic, it seems crazy I gotta hike to the bow if I wanna look at the propellers...

Ian P22/05/2021 21:01:05
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2747 forum posts
123 photos
Posted by John Stevenson on 23/01/2011 01:45:38:
Fractions?
 
I have yet to see any machine tool with the dials graduated in fractions.
 
Wood working machines don't count, we are talking accuracy here not axe strokes.
 
John S.

My hero!

Ian P

Martin Kyte22/05/2021 22:48:40
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3445 forum posts
62 photos
Posted by John Stevenson on 23/01/2011 01:45:38:
Fractions?
 
I have yet to see any machine tool with the dials graduated in fractions.
 
Wood working machines don't count, we are talking accuracy here not axe strokes.
 
John S.

My Myford is graduated in 1/1000" with additional graduations every 5/1000" and 1/100" the 1/100" marks being stamped in 10's. Not a decimal point in sight. What's that if not fractions.

regards Martin

Paul Lousick22/05/2021 23:35:31
2276 forum posts
801 photos

My metric mill has dials which are in fractions and graduated in 1/1000 metres wink but like imperial machines with graduations in 1/1000" it is using a denominator with 10 as the base number. (decimal system).

I started my career as an engineering draftsman and remember calculating lengths in fractions before the invention of calculators. A real pain in the butt ! (Try adding up: 3' 5. 37/64" + 1' 2. 17/32" + 4' 11. 9/16", )

Paul

Bill Pudney22/05/2021 23:54:31
622 forum posts
24 photos
Posted by John Stevenson on 23/01/2011 01:45:38:
Fractions?
 
I have yet to see any machine tool with the dials graduated in fractions.
 
Wood working machines don't count, we are talking accuracy here not axe strokes.
 
John S.

Trust the late John S to sum it up in a couple of sentences!!

cheers

Bill

Ady123/05/2021 08:03:23
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6137 forum posts
893 photos

Perhaps we should invent a new measurement which converts imperial/metric with perfect precision

widgets

Michael Gilligan23/05/2021 08:07:26
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23121 forum posts
1360 photos

Just returning to Rod’s original question ... I recall posting this in 2013

___________

Just an aside ...

It was quite common, until at least the mid-1960s, for American draughtsmen to work in 1/128ths of an inch.

I had hours of fun trying to understand all the strange dimensions on the drawings for a Polaroid 5x4 film holder ... until I realised that it had been designed in 1/128ths and then later "modernised" to decimals. Once I had reverse-engineered the "rounding", the design made sense.
___________
.

The moral [if any] being that perhaps drawings should be dimensioned, or at least co-dimensioned in the system of units appropriate to the original design. ...

MichaelG.

.

Ref: https://www.model-engineer.co.uk/forums/postings.asp?th=90017

Edited By Michael Gilligan on 23/05/2021 08:08:01

J Hancock23/05/2021 09:25:23
869 forum posts

Or , as my old woodwork teacher used to say , " Engineers have to work to within ' a thou ', carpenters have to

be exact."

Michael Gilligan23/05/2021 09:53:19
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23121 forum posts
1360 photos
Posted by Ady1 on 23/05/2021 08:03:23:

Perhaps we should invent a new measurement which converts imperial/metric with perfect precision

widgets

.

We did ... when we declared the inch to be exactly 25.4mm

MichaelG.

.

http://metricationmatters.com/docs/WhichInch.pdf

 

Edited By Michael Gilligan on 23/05/2021 09:57:52

Nigel Graham 223/05/2021 11:28:42
3293 forum posts
112 photos

Martin -

No-one said decimals are not fractions, but the thread's colloquial language somehow suggests that fractions exist only in the vulgar form!

'

No, of course there isn't a decimal point on a machine handwheel that counts entire thousandths or an inch, or fiftieths of a millimetre... but I've still to decipher the faint lines on my Denbigh H4 milling-machine's dial, on a feed-screw of one-sixth inch lead! Very few regular decimal dimensions match sexagecimals closely.

'

I've worked with Imperial drawings dimensioned in both in vuglar binary and decimal fractions. The tolerances were given as +/- 1/64", and 0.0xx" , respectively; but any machining and the inspection was all decimal.

'

Michael -

1/128" ... Strange limits. I wonder why they didn't go straight to thous or at least hundredths. I once had a steel rule on which one of the inches was graduated in one-hundred-and-twenty-eigths - as if anyone could be expected to use it sensibly. I still have one of those transparent plastic rules intended for drawing-office and laboratory use, with a similar-triangles scale that "magnifies" titchy bits of inches to legibility. Never had to use it!

In line with your comment about matching system to original, I am used to Imperial and metric but am building my engine to one-third scale, in its ancestors' feet and inches. The drawings I make reflect this but with decimal equivalents (TurboCAD, presumably any CAD, uses only 10s-base, Imperial or metric). Even so I often use mm when measuring its physical steelwork to verify alignments or match non-machined parts directly rather than via drawings.

I used all-inches to design and build my workshop's travelling-hoist, but due to its metric fastenings, metric steel-stock and increasing complexity, I wished I'd gone all-metric. It would have been easier!

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