1 Division = Errr???? (hand-wheels)

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1 Division = Errr???? (hand-wheels)

Home Forums General Questions 1 Division = Errr???? (hand-wheels)

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  • #715550
    Nigel Graham 2
    Participant
      @nigelgraham2

      For some reason I had two lead-screw hand-wheels for my Myford ML7.

      Lead-screw lead 1/8″ .

      I made a new, short-length lead-screw from new “studding” for the second-hand, early-pattern gearbox I installed*, and bought a hand-wheel for it. This turned out to be calibrated from 0-159. (0 = 160) with the tens numbered.]

      I thought it odd but realised it gives binary-fraction divisions, useful when using drawings with such dimensions. (1/64″ = 20 divisions.)

      The spare wheel is calibrated 0 – 124 (0=125) for decimals, matching the two slide hand-wheels.

      Why 160-ths though?

       

      0.125 ÷ 160 = 0.000781 inch . Very useful!

      But: every 20 divisions gives 1/64 inch. Though I have yet to see drawings dimensioned in vulgar-fractions down to 1/128 or finer, inches. So our wheel need be divided only by 8 numbered plus intervening half-marks; and indeed could carry that as a secondary scale.

      So metric equivalence?

      Not really. The nearest integer, 2mm, = 0.0787″. Only 10 turns gives 1.25″ = 31.75mm. Not much help if you want an exact 32mm. It introduces extra arithmetic, so not really for metric equivalents. They are easy to convert beforehand anyway, to the machine’s (1/1000) inch system.

      .

      Vice-versa? Inches on a metric screw? 3mm = 0.1181″ . Divide by 160 = 0.000738″ per division. So… no!

      .

      Luckily, though I forget why I have it, that other hand-wheel is calibrated 0 – 124 (0 = 125). So I replaced the odd 0 – 159 wheel with it yesterday – inspiring this question.

      .

      Does anyone know why such a strange scale?

      .

      Another thought… what do we gain from a hand-wheel calibrated 0 – 127 on a ⅛” pitch screw?

      (Numbered in 10s by 0 to 12, plus 5s highlighted.)

      Then 1 division = 0.000984″ = 0.025mm.  That looks useful….

      … Yet we are fussy and want an exact 100mm length, and that 127ths dial does give a small but accumulative error…

      100 ÷ 0.025 = 4000

      4000 ÷ 127 = 31.496 turns of the wheel.

      So 31 full plus 0.496 turn, which is 62.992 divisions.

      Oh all right, 31 turns + 63 of the dial’s hundred-and-twenty-sevenths. Even a 200mm length still gives a neat (62 turns + 126 divs.).

      So this 127ths dial is feasible, but still rather roundabout, compared to prior conversions by chart and/or calculator.

      .

      Either way the 160ths dial is useful only for giving binary vulgar-fractions of inches, and then a bit meaningless beyond 8 numbered plus their half-point divisions.

      Might it suit the curious 6tpi screws on my Denbigh H4 horizontal mill – despite looking very out-of-place?

      1/6 = 0.1666″ per turn. 0.1666 ÷ 160 = 0.001042″ .

      So in theory, feasible but still rather clumsy, not really improving a near-antique machine capable of but not really intended for, working to “thou” measurements.

      These simple little Denbigh milling-machines were probably intended for right-through cuts in batch-production: slots, gears, flats and polygons. Not finely-dimensioned cavities; and the simpler in the “H” range had lever-action long feeds. One of its three screws is 8tpi, but I think without going to investigate it is the one controlling the knee height.

      .

      We may all have been reading that thread on rotary table calibrations but I know my engineering is not ± 0.000984″. I think I will stick to a coherent set of “thou” dials and simple conversions !

       

      ”””’

      *Carefully keeping the original lead-screw and other parts against any possible reversion of the lathe.

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      #715583
      peak4
      Participant
        @peak4

        0.000781″ seems pretty close to 0.0198374mm, so not far off 0.02mm metric divisions on an imperial leadscrew, which ties in with part 1430M

         

        This is all I can see from the catalogue;

        image_2024-02-21_130741206

         

        Bill

        #715586
        Mark Rand
        Participant
          @markrand96270

          160 divisions with a 0.125″ pitch leadscrew gives .02mm per division with a 0.78% error. far less than perfect, but within shouting distance, given the leadscrew accuracy.

          Of course, that’d work better if the 5’s were numbered 🙂

           

          Edit:- I type too slowly!

          #715612
          Bazyle
          Participant
            @bazyle

            On the Hobbymat lathes the screws are 1mm pitch but dials have 40 divisions with major ticks every 4. Near enough to a thou for getting a feel for a small increment of cut. Unless you are co-ordinate drilling with a vertical slide etc it works fine.

            The other ‘angle’ on older machines is not to think in terms of a modern kid with 16 decimal places on their phone-calculator. On another forum part of a device designed in the ’20s was measured to a tenth and discussed for ages as it wasn’t a ’round figure’. French inches were ‘proved’ as was using mm times pi which strangely worked. Thinking back to when it was designed on a manual drawing board a cosine was obviously involved but still didn’t yield a round figure on my spreadsheets (1/8in x Cos15 I think). Then Eureka.  Stop using modern tech and dig out the old 4 figure tables. Immediately got the round figure just like the original drawing office did in 1920.

            #715717
            Neil Wyatt
            Moderator
              @neilwyatt

              I wrote this twenty years ago… I don’t recall if it ever appeared in Model Engineer…

               

              Metric vs. Imperial
              In Model Engineer’s Workshop (issue 91, July 2003) Alastair Sinclair suggested fitting a leadscrew handwheel to the similar Chester Conquest. By using a matching wheel to that fitted to the saddle and tailstock, his approach gives the appearance of an ‘original part’. I essentially followed his design, thinking the addition would be useful. In fact, I have found it indispensable. My major difference to Alastair’s solution was that I have an Imperial 16 tpi leadscrew, he has a 1.5mm metric one. I considered various divisions for the index wheel and settled for 64. This gives evenly spaced divisions for fractions down to 1/128” and beyond, and each single division equals 0.001024”, close enough to a ‘thou’ for most purposes. I considered 60 divisions, which would have allowed the divisions to be grouped in fives, while allowing accurate fractions down to 1/64”. This way each division would be just 0.000960”, over twice the error of 64 divisions. Both 62 and 63 divisions would have been more accurate, but they are awkward to divide. On exchanging emails, Alastair pointed out to me that a 1.5mm pitch metric leadscrew with a 60 division index would give 1 division equals 0.001016”, still not perfect, but the best result of all.

              Closer examination of my lathe shows that the cross-slide and top-slide ‘imperial leadscrews’ are 1mm pitch, rather than 25tpi. This gives the same 1.6% error. While this does not really matter when feeding in a ‘few thou’ to get a part to exact size, it does mean that you should measure rather than count turns when moving larger distances.

              Neil

              #715722
              JasonB
              Moderator
                @jasonb

                Stick the 160 div handwheel on a benchtop mill ( or possibly lathe) with 2mm pitch leadscrew and that is 0.0125mm per div or 0.0004921″ near enough half a thou per div

                #715786
                Nigel Graham 2
                Participant
                  @nigelgraham2

                  Thankyou for these! I’d obviously not spotted how close things really are.

                  As rather hinted, that’s the problem with being a mere yoof (only 71) accustomed to calculators displaying lots of decimal places. To parody the old song, Oh bring back, bring back, bring back my slide-rule to me, to me… (and log. tables – I can remember how to use those too.)

                  I’d been led up the creek a bit by the question of accumulating errors, not spotting that if you take the travel as x complete turns plus y divisions the error becomes far less significant.

                  I notice Bill’s catalogue quote shows there should be a pointer fitted by a tapped hole in the bed. That is news to me! I will have to look for that. So far I’d been simply lining up the divisions with the corner of the bed, not quite as inaccurate as it seems.

                  Since my ML7 has those ‘orrible little Mazak dials all in thou divisions, for most practical purposes it’s probably still easier to convert the drawing’s dimensions from mm to inches beforehand, so all are compatible.

                  Nevertheless knowing what the 160-div wheel is for is still valuable, and I had not appreciated the point about its possible use with a 2mm lead screw!

                  The whole exercise is rather like the one I took a few years ago, to determine what metric threads I could cut on my EW lathe. It has an 8tpi leadscrew, change-wheels from 25 to 70 (I think) X 5; and a maximum two-stage banjo. Using a spreadsheet and a lot of shuffling values to narrow the approximations by trial-and-error, produced a surprising range of common mm pitches accurate enough over 10 turns or so; sufficient for many applications such as studs.

                   

                  #715796
                  duncan webster 1
                  Participant
                    @duncanwebster1

                    Just because you’ve got a handwheel with 160 divisions doesn’t mean you’ve got to use it. 0.0125 mm/div is extremely unhandy and liable to introduce errors unless your mental arithmetic is spot on. With a 2mm pitch screw I’d want 100 divisions each of 0.02.

                    As for a handwheel graduated in imperial fractions, give me strength. I’ll bring on my mike which indicates 1/1024″ next. Easy enough, a 32 tpi thread with 32 divisions on the thimble. Logical? Yes. Use-able? Well if you’re determined to make life difficult, yes.

                    #715801
                    Nigel Graham 2
                    Participant
                      @nigelgraham2

                      Calm down, Duncan!

                      No-one says anyone has to use a dial with 160 divisions.

                      No-one says anyone has to use a dial or micrometer graduated in vulgar fractions – though the 160 scale allows those by default; and there are occasions when it might be useful. (Using old drawings all dimensioned in vulgar bits of inches – down to sixty-fourths too tiny for my eyes.)

                      I asked originally why this unexpected scale, and examined it numerically. My question raised an interesting discussion on what it meant; and I was inspired to ask by having replaced it with a conventional one reading in “thous” .

                      Though you might ponder why my Denbigh H4 milling-machine has two screws of 6tpi… you can’t work out sensible divisions in either ins or mm for those!

                      #715825
                      JasonB
                      Moderator
                        @jasonb
                        On duncan webster 1 Said:

                        Just because you’ve got a handwheel with 160 divisions doesn’t mean you’ve got to use it. 0.0125 mm/div is extremely unhandy and liable to introduce errors unless your mental arithmetic is spot on. With a 2mm pitch screw I’d want 100 divisions each of 0.02.

                         

                        The 160 can be used to convert the metric screw to very close imperial readings, not to read metric from the metric screw.

                        American market Minilathes have a similar sort of arrangement where the cross slide is not imperial but the dial is in imperial and that is why there are 20tpi conversions available to replace the 1mm pitch screws

                        #715830
                        Michael Gilligan
                        Participant
                          @michaelgilligan61133
                          On Nigel Graham 2 Said:

                          […] Though I have yet to see drawings dimensioned in vulgar-fractions down to 1/128 or finer, inches. […]

                          Does anyone know why such a strange scale?

                           

                          May I suggest, Nigel, that you read this thread from the old site … to which I see you contributed:

                          https://www.model-engineer.co.uk/forums/topic/metric-or-imperial-fractions-or-decimals/

                          The comment at the end of page1 is typically flippant … but the truth is there in the discussion.

                          MichaelG.

                          #715832
                          Michael Gilligan
                          Participant
                            @michaelgilligan61133

                            Although ‘Myford’ no longer seems to list it … This design is available from RDG

                            https://www.rdgtools.co.uk/acatalog/Graduated-Handwheel-for-Myford-ML7—Super-7-2054.html

                            and is explicitly described as having Imperial graduations.

                            MichaelG.

                            #715837
                            JasonB
                            Moderator
                              @jasonb

                              Sounds like the 6tpi equipped machine is in need of a couple of Meek style internally geared handwheels. That will be a good bit of Alibre practice for you!

                              #715839
                              Martin Connelly
                              Participant
                                @martinconnelly55370

                                It is interesting that such thought has been put into the divisions of a leadscrew handwheel. I wonder who the alternatives were aimed at since I would expect an apprenticed machinist would have been able to work on any machine before the advent of DROs and digital electronics (eg calculators or digital callipers). Some of the older books and films show the use of plain callipers, practiced feel and a scale rule. No doubt many had ready access to tables of conversions for less common values.

                                I think worrying about metric or imperial on a machine tool is wiped away by fitting a modern DRO. However that is not always an option so the alternative is to do what machinists have always done, when you get close to the size you want you start to use accurate measuring tools. Inch micrometers or mm micrometers or a metric and imperial Vernier calliper (or even a digital one) combined with close enough mental conversions of what the amount of material is to be removed based on the dial graduations will get you to the correct dimension within the acceptable tolerance band of either system. If you work with the mental conversion that 0.1mm is close enough to 4 thousandths of an inch and you can interpolate between the two if needed then there is no problem with creeping up on the required dimension. If you don’t already do it you should be doing a dimension check when you are getting close to size and correcting the dial setting to match reality anyway. If you want, at this stage get a calculator out and do an exact conversion to the target in units that suit the dials you have (or use a digital calliper that switches between inches and mm at the press of a button).

                                Wear on leadscrews means that for well used machines the dials on older manual machines are best considered a rough guide only unless parts have been replaced recently. There are also many example of people who want or need accurate measurements on lathes having produced the means of mounting dial indicators on the various parts of their machine.

                                Martin C

                                #715912
                                bernard towers
                                Participant
                                  @bernardtowers37738

                                  Yes Michael and the scale is pressed on which means that it can be removed and with a little bit of machining including a couple of grooves with a music wire spring in you have a resettable lead screw handwheel. I have fitted 3 little finger knobs on mine but it doesn’t get much use now its equipped with a DRO.

                                  .

                                  #715921
                                  peak4
                                  Participant
                                    @peak4
                                    On Michael Gilligan Said:

                                    Although ‘Myford’ no longer seems to list it … This design is available from RDG

                                    https://www.rdgtools.co.uk/acatalog/Graduated-Handwheel-for-Myford-ML7—Super-7-2054.html

                                    and is explicitly described as having Imperial graduations.

                                    MichaelG.

                                    I have a suspicion that they have just copied the description, but changed 125 to 160.
                                    I still think it’s intended to approximate to metric on an imperial leadscrew, as a replacement for 1430M in my earlier post

                                    Bill

                                    #715996
                                    martin haysom
                                    Participant
                                      @martinhaysom48469
                                      On duncan webster 1 Said:

                                       

                                      As for a handwheel graduated in imperial fractions, give me strength. I’ll bring on my mike which indicates 1/1024″ next. Easy enough, a 32 tpi thread with 32 divisions on the thimble. Logical? Yes. Use-able? Well if you’re determined to make life difficult, yes.

                                      don’t know about a mike ,i do have a vernier calliper with fractions. oddly of german origin. such things are only difficult to use because we are not used to them. start using them and them will soon be as easy as what you are currently using

                                      no i do not use the old vernier i only keep it because it was my dad’s

                                      #716096
                                      Nigel Graham 2
                                      Participant
                                        @nigelgraham2

                                        Jason –

                                        Footling about with that milling-machine’s hand-wheels is the least of my worries for it! I have first to build its drive system, then rebuild its lost table-feed – the worm-wheel is still there but all the rest has vanished.

                                        The feed-screws are: Longitudinal and Knee 6tpi; Cross-feed 8tpi; the knee and cross-feeds are graduated in 25s by 5 (0 = 25). No long feed dial.

                                        Of course we work to the nearest 25ths of 6ths of inches (1/150 inch….. 0.006 recurring).

                                        Alibre practice?

                                        Very witty!

                                        Never mind how to draw any such geared scale – I doubt I could even if I knew the design. Nor could I design and cut the wheels. Anyway, a tiny gear-train to convert sixths of inches to conventional units, on a half-inch diameter shaft on an antique machine, is impossible by arithmetic and lack of space. I only wonder why Denbigh used these strange pitches, and on two, not all three, screws.

                                        The important part is the mill-wrighting. That is too hard to draw in CAD, even TurboCAD‘s direct orthographic mode; but anyway the print would be illegibly small.  I still need design it though. So I build such projects from rough sketches on paper, based on measuring the existing parts.

                                        To rotate that horizontal mill’s spindle from a 1350rpm motor will involve 4 hefty big gears I happen to have, to give 2 speeds (roughly 65 and 130rpm) at the spindle, and various pulleys, bearings and belts.

                                         

                                        ++++++

                                        Michael –

                                        I did indeed re-read that thread and its basic lesson seems to be less which system of units to use (for our purposes inches or mm is by personal choice and tools available: we don’t have to please the ISO!) but calls for consistency and good-quality dimensioning.

                                        ++++

                                        Martin –

                                        I too have an ancient Vernier-caliper I was pretty sure was in binary fractions!

                                        In fact examining it now, shows decimal scales of inches to 1/1000″ and of cm to something now too faint to read. I keep it as a curio, as it is very hard to read even with a powerful magnifying-glass – and is probably out of calibration. Oddly the internal-measuring jaws are not edges as we normally use but very sharp points, and I wonder if they were for measuring between centre-drill or centre-pop marks, or scribed lines. The make is unknown. If it was there, it has long faded away.

                                        I also have simple firm-joint calipers, read against a rule, and I do need use them occasionally.

                                        #716219
                                        Michael Gilligan
                                        Participant
                                          @michaelgilligan61133
                                          On Nigel Graham 2 Said:

                                           

                                          Michael –

                                          I did indeed re-read that thread and its basic lesson seems to be less which system of units to use (for our purposes inches or mm is by personal choice and tools available: we don’t have to please the ISO!) but calls for consistency and good-quality dimensioning.

                                          Very well-put, Nigel

                                          My experience with the Polaroid back is a prime example … Something designed [for good reasons at the time] in binary-fractions of Inches was subjected to two layers obfuscation and thus became nearly incomprehensible.

                                          Yes, it can still be made when expressed ‘in translation’ but where is the elegance and purity in that ?

                                          MichaelG.

                                          #716236
                                          Nigel Graham 2
                                          Participant
                                            @nigelgraham2

                                            Well, there isn’t!

                                            I wonder if a reason not often put forwards for so many model-engineering drawings being in binary inch fractions was that scale.

                                            Most of the full-size things we replicate to scale were made to feet and inches, so many model designs are reduced versions with slight adjustments.

                                            Not always very slight though: if we use the track gauge as our guide, the scale for a 5″ model is 11.3 to 1. Yet a truer equivalent (1/12) gives a track gauge of 4.71″. All right, make that 4.75″…. So it’s all very well until you want to work as closely as possible to prototype from works drawings, then the arithmetic starts being awkward. Unless all our miniature locos are right to scale in everything except gauge!

                                            The other gauges?

                                            3.5″ equates very closely to 1/16 (3/4″ to the foot).

                                            7.25″ is 1/7.8 (approx 1.5″ to the foot.) An oddity of scale is that a narrow-gauge engine like the “Wren” seems to dwarf a model Standard Gauge main-line locomotive!

                                            I don’t though, know how and why our gauges were established, but the full-size Standard Gauge is an odd value to scale anyway.

                                            At least we can work to integer scales, Imperial or Metric, for non-railway models. For Metric I’d convert all the original feet-inches-and-bits to all-inches in decimals first, then use something based on N X 1mm = 1 inch (N being an appropriate divider or multiplier constant). A spreadsheet takes a lot of the graft and error risks out of this.

                                            ….

                                            I have just placed an order with Hemingway Kits, and it asks you whether you prefer to work in Imperial or Metric units, saying most of its kits are still in inches. I replied Imperial but can work in both.. That is because my lathes, jig-borer and milling-machine are Imperial, but I have fitted the mill with a 3-axis DRO giving the option.

                                            In fact I often use the milling-machine’s inch dials, with the DRO switched off, for simpler or less critical, inch-based, tasks; to maintain my ability with them.

                                            .

                                            A thought occurred to me about that Denbigh horizontal mill’s two 6tpi screws. It’s easier than it seems.

                                            Their dials are divided into 25 X 5, so 1/150 inch per division. This means 3 divisions = 0.020″.

                                            Aha! Immediately much more logical provided you don’t need work much more finely; but a secondary pointer to show mid divisions like a single-point Vernier, will give 0.01″ limits.

                                            So how to use it? Safest to produce a list in planning the work, and count the turns with pencil-and-paper as you go.

                                            Say you need a 0.5″ deep channel:

                                            0.5 / .02 = 25.

                                            So count 25 X 3 divisions = 75, which is a nice neat 3 complete turns, and Denbigh’s drawing-office, bless ’em, specified adjustable dials on this machine!

                                            5/8 deep though? 0.125″ = 6 X (0.020) + 0.005

                                            = 3 X 6 = 18 divisions, + 1 division which being 0.006″, will take the depth a massive 0.001″ over.

                                            So set the dial to 0, raise the knee by 3 complete turns, then go further to 18. (Test before taking that last few “thou”, as normal.)

                                             

                                            Ending the channel short, such as a connecting-rod flute with an elegant concave run-out (the prototype was quite possibly machined on a big horizontal mill itself), needs marking out the work or fitting a rule to the machine, as the long feed is not calibrated.

                                             

                                            I don’t know this machine’s history. Its deceased last owner had it in a very scruffy workshop for his hobby of restoring old cars. As with any similar milling-machine though, if its knee screw is worn unevenly such as by a lot of production-work, I would expect the raising to read progressively under as the worn thread flanks take charge. Which at least errs on the safe side.

                                            #716241
                                            Howard Lewis
                                            Participant
                                              @howardlewis46836

                                              Each division on a 160 graduation wheel, on a 6 tpi thread will equate to 0.00104166′ inch. so not an ideal application., Nor is the metric equivalent of 0.02645833 mm.

                                              Probably the wheel would best be used on a 6.25 tpi thread.

                                              Howard

                                              #716243
                                              Mark Rand
                                              Participant
                                                @markrand96270
                                                On Howard Lewis Said:

                                                Each division on a 160 graduation wheel, on a 6 tpi thread will equate to 0.00104166′ inch. so not an ideal application., Nor is the metric equivalent of 0.02645833 mm.

                                                Probably the wheel would best be used on a 6.25 tpi thread.

                                                Howard

                                                If you think a commercial lead screw is anywhere near that accuracy, I’ve got some land to sell you 😀

                                                #716254
                                                duncan webster 1
                                                Participant
                                                  @duncanwebster1

                                                  Picking up Nigel’s digression into model loco scales, for 5 “g in imperial measure the best approximation is 1.0625″/foot. Not all that good for mental arithmetic. Using 2.25mm/inch gives a scale gauge of 127.125mm, which is still very near. Still probably needs a calculator.

                                                  If you use 1″/ft then 4.75″g is a better approximation, and I think some of our USA friends use that.

                                                  #716484
                                                  Neil Wyatt
                                                  Moderator
                                                    @neilwyatt

                                                    I just wish they had taken the common sense approach of making 1″ = 2.56mm.

                                                    🙂

                                                    #716487
                                                    Michael Gilligan
                                                    Participant
                                                      @michaelgilligan61133
                                                      On Neil Wyatt Said:

                                                      I just wish they had taken the common sense approach of making 1″ = 2.56mm.

                                                      🙂

                                                      … or perhaps less disruptive  25.6mm

                                                      MichaelG.

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