Old School Drawing Exercises and 2D CAD

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Old School Drawing Exercises and 2D CAD

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  • #487007
    SillyOldDuffer
    Moderator
      @sillyoldduffer

      Apologies in advance for being a churl, but I've highlighted my learned colleagues drawings in blue were I think the curves look like tangents, but are eyeballed approximations or mistaken.

      The mistake, line actually tangent with the lower construction circle rather than the target:

      nottangent.jpg

      By eye, zooming in suggests the lines don't actually meet:

      jnottangent.jpg

      My painful effort shows the construction lines needed for accuracy. It isn't quite right either – one of my dimensions is bodged to 99.9941 rather than 100 in order to get the curves to meet correctly. Although done in QCAD I only used drawing board methods – circles – to position the curves. Promise!

      tangents.jpg

      Although a close approximation can be sketched without too much bother, I still think this is tricky to draw geometrically, ie with tangents accurately at 90° to a radius. I might have made heavy weather of it. Any Old School professional draughtsmen out there?

      Dave

      Edited By SillyOldDuffer on 21/07/2020 22:32:19

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      #487013
      blowlamp
      Participant
        @blowlamp

        To get the right intersection point I used a parallel line offset 100mm from the horizontal line and struck an arc of 91mm centered on the lower/right circle – its radius being 9mm which, when added together gives 100mm and is the required radius to give tangency between the top line and the rightmost circle.

        Martin.

        #487015
        Nigel Graham 2
        Participant
          @nigelgraham2

          Martin –

          Thankyou!

          I attempted A-Level Maths too, but found it too hard and re-took the O-Level plus Additional Maths (half way between the two). Scraped through the O-Level, failed the Additional.

          Anyway, although I recall the A-Level syllabus we followed included 3D linear graphs, and its calculus included solids of revolution, I don't think it looked at Lines In Space and intersecting planes.

          I did wonder if those problems can be solved mathematically, but could not imagine how, partly because I do not know if or how it's possible to express a plane as an equation. I think the drawing-board method involved rotating the lines so one lies on a plane viewed edge-on, but I may well be wrong 50 years after being taught something I have never used!

          #487027
          JasonB
          Moderator
            @jasonb

            Dave, that wrong tangent was picked up during trimming actual part is correct as you will see with a close eyeball of the rendered image posted yesterday. Yes just a quick pencil sketch to show it can be done easy enough with basic drawing instruments could spend more time on it but better things to do.

            This is the actual sketch after trimming the fat used to create the part, as you can see I got the full 100mm and the tangent symbol is there, the black dot represents end of the 50mm radius and start of the 9mm.

            july teaser 3.jpg

             

            Edited By JasonB on 22/07/2020 07:07:49

            Edited By JasonB on 22/07/2020 07:08:30

            #487045
            Michael Gilligan
            Participant
              @michaelgilligan61133
              Posted by JasonB on 22/07/2020 07:00:08:

              […] This is the actual sketch after trimming the fat used to create the part, as you can see I got the full 100mm and the tangent symbol is there, the black dot represents end of the 50mm radius and start of the 9mm.

              july teaser 3.jpg

              .

              Permit me please, to ask an innocent question:

              What are the XY co-ordinates of the centre of that 100mm circle ?

              MichaelG.

              #487056
              SillyOldDuffer
              Moderator
                @sillyoldduffer
                Posted by JasonB on 22/07/2020 07:00:08:

                … Yes just a quick pencil sketch to show it can be done easy enough with basic drawing instruments could spend more time on it but better things to do.

                Quite right about better things to do, for practical purposes our drawings agree, while mine took about 90 minutes to get right. (I was half watching telly at the same time!) Here we are overlaid:

                janddavetangent.jpg

                Michael's innocent question about the XY coordinates of the 100mm circle's origin has me embarrassed too. Although I derived it geometrically and drew the arc from it, the position isn't spot on:

                tangentwrongcentre.jpg

                In theory, the purple lines inside the red circle should both be 100mm long and meet together on the circle. To get the 100mm arc to join correctly I had to bodge the origin slightly, hence the 99.9941 dimension. Something's wrong.

                Have to read Blowlamp's post carefully next. I think I'm applying Martin's method – or trying to – and may be getting it wrong. Job for this evening, I'm out today.

                Always worth asking in engineering if the effort is worth it. The rigorous geometric approach to drawing tangents is is good because it highlights errors, but bad because it takes time. When chaps discover errors in plans, have some sympathy for the draughtsman. More work if he takes pains drawing features like tangents and unnecessary gold-plating if the feature is cosmetic. On the other hand, quick methods are more error-prone and likely unacceptable when accuracy matters – cams & lens etc. Horses for courses again.

                Dave

                #487062
                blowlamp
                Participant
                  @blowlamp

                  Dave.

                  I made a video that I hope makes it a bit clearer than my not-so-clear post. blush

                  I start by having the basics already laid out and first show how my CAD can quite quickly do the 50mm & 15mm arcs that link the circles that are on screen.

                  I then draw the horizontal line at some random length and offset a copy of it by 100mm below.

                  Next comes the actual point of the video, in the form of a 91mm radius circle centered on the right hand circle of 9mm radius to derive the intersection point we need to centre a 100mm tangent arc betwee the top line and the 9mm radius circle.

                   

                   

                  Martin.

                   

                  Edited By blowlamp on 22/07/2020 11:31:51

                  #487067
                  blowlamp
                  Participant
                    @blowlamp
                    Posted by Michael Gilligan on 22/07/2020 08:29:12

                    .

                    Permit me please, to ask an innocent question:

                    What are the XY co-ordinates of the centre of that 100mm circle ?

                    MichaelG.

                    I get them at: X33.334, Y-63 as laid out in my video with the small circles centered on the XY axis lines.

                    Martin.

                    #487072
                    Gary Wooding
                    Participant
                      @garywooding25363
                      Posted by Michael Gilligan on 22/07/2020 08:29:12:

                      Permit me please, to ask an innocent question:

                      What are the XY co-ordinates of the centre of that 100mm circle ?

                      MichaelG.

                      Relative to the centre of the top left circle, x = 34.3342, y = -93

                      #487073
                      blowlamp
                      Participant
                        @blowlamp
                        Posted by blowlamp on 22/07/2020 11:45:38:

                        Posted by Michael Gilligan on 22/07/2020 08:29:12

                        .

                        Permit me please, to ask an innocent question:

                        What are the XY co-ordinates of the centre of that 100mm circle ?

                        MichaelG.

                        I get them at: X33.334, Y-63 as laid out in my video with the small circles centered on the XY axis lines.

                        Martin.

                        Whoops, a typo there! Should be X34.334, the same as Gary's.

                        Martin.

                        #487075
                        Michael Gilligan
                        Participant
                          @michaelgilligan61133
                          Posted by blowlamp on 22/07/2020 11:45:38:

                          Posted by Michael Gilligan on 22/07/2020 08:29:12

                           

                          What are the XY co-ordinates of the centre of that 100mm circle ?

                           

                           

                          I get them at: X33.334, Y-63 as laid out in my video with the small circles centered on the XY axis lines.

                           

                          .

                          Thanks Martin yes

                          That confirms my suspicion that this might be a tricky part to machine by manual operations

                          … I also guess that X33.334 might be a ‘reasonable approximation’ [rounded or truncated]! rather that an exact value.

                          If I were to try, on my BCA, I would probably want to set that point as a datum.

                          MichaelG.

                          .

                          Edit: Your typo noted *

                          Thanks also to Gary

                          Edited By Michael Gilligan on 22/07/2020 12:35:48

                          #487083
                          JasonB
                          Moderator
                            @jasonb

                            Michael this is what I get if I let the CAD generate the dimensions, it moved the ctr by itself as each pair of circles where constrained by using the tangent icon. Left of the two circles is at 0,0 ctr of circle – 54.432, – 22.762

                            july teaser 4.jpg

                            I have also added two dashed green circles that show how it was also done the "compass" way by swinging arcs of (R1 + R2) from the ctr of each point and then swinging R1. Where R1 is the 50mm radius and R2 the Radius of teh corner eg 7 or 9mm which gave the 118mm circle (57r) and the 114mm circle (59r)

                            Not too bad to do manually, you would either need a large piece of stock or  alarger tooling plate so that the ctrs of the various arcs could be marked . It would then just be a case of locating each ctr point under the spindle of your BCA and moving in x or y the appropriate amount +/- tool offset and then rotating the table. Ctrs could be marked out from either CAD derived ones or with scriber and dividers. main issue with doing it manually is not overcutting an arc, here is one I prepared earlier with CAD positions and manual machining, expect I would use the CNC now.

                            dsc02903.jpg 

                            Edited By JasonB on 22/07/2020 13:40:41

                            #487098
                            Michael Gilligan
                            Participant
                              @michaelgilligan61133
                              Posted by JasonB on 22/07/2020 13:25:26:

                              […]

                              Not too bad to do manually, you would either need a large piece of stock or alarger tooling plate so that the ctrs of the various arcs could be marked . It would then just be a case of locating each ctr point under the spindle of your BCA and moving in x or y the appropriate amount +/- tool offset and then rotating the table. Ctrs could be marked out from either CAD derived ones or with scriber and dividers. main issue with doing it manually is not overcutting an arc, here is one I prepared earlier with CAD positions and manual machining, expect I would use the CNC now.

                              .

                              Thanks, Jason …

                              What I was idly pondering [whilst you were usefully machining a demonstration piece] was how I would go about machining it on the BCA without any marking-out … just starting from a datum at the centre of that 100dia.

                              Like CNC but with three brain cells instead of a Computer

                              MichaelG.

                              #487107
                              JasonB
                              Moderator
                                @jasonb

                                If doing it without marking out rather than reposition the work each time and rotating the table to do the cut the table you could move the X&Y to the required ctr and then use a boring head to swing the 50mm radius. If you did not already know the co-ordinates then maybe locate 14mm and 18mm Buttons and then set the boring head to the required diameter and gently swing by hand until the tool just kisses the buttons.

                                Would not work on the larger 100mm radius as you could not swing that as an external radius due to the straight part that joins it. It would also be quite exciting to swing a cutter at that radius!

                                I must confess that I really did make that part quite a bit earlier, a couple of years earlier infact.

                                I'll post something later for Dave or anyone else interested to see how they draw it.
                                #487112
                                SillyOldDuffer
                                Moderator
                                  @sillyoldduffer

                                  Excellent work whilst I've been out cavorting. First thanks to Martin for the video which reveals all about the last curve. I was aiming for the same result, but I think Martin's method is better. Have to apply it to my drawing to see what happens, but I think it fixes my error.

                                  Kudos to Jason and Michael too. Not only the drawing, but how to make a real one. I love it when a plan comes together. (Even though I'm more Hannibal Lecter than Hannibal Smith)

                                  Very educational this forum. Thanks again,

                                  Dave

                                  #487115
                                  duncan webster 1
                                  Participant
                                    @duncanwebster1

                                    Eager to see what the fuss is about I've just drawn it by drawing board methods in CAD and got the same x, y coords ASSUMING the origin is the top left hole.

                                    However, if I'd been asked to make something like this by hacksaw and file methods, I'd just have marked out the 3 holes with the radii round them, then found some tin cans, odd ends of bar etc of the right radii to blend in the 15, 50 and 100 rads. They are not at all important, and even inspector meticulous wouldn't notice if they were out by a mm or so

                                    #487123
                                    Spurry
                                    Participant
                                      @spurry
                                      Posted by duncan webster on 22/07/2020 17:27:31:

                                      They are not at all important, and even inspector meticulous wouldn't notice if they were out by a mm or so

                                      A mm or so!! Measurements here are quoted in a tenth of a micron, so someone would be sure to notice. wink

                                      Pete

                                      #487136
                                      JasonB
                                      Moderator
                                        @jasonb

                                        So here is tonights homework which takes a slightly different form to what has previously been posted. Rather than trying to replicate a drawing here is an old etching of the "Brayton Ready Motor" that I have been helping Graham Corry of Alyn Foundry fame with by drawing some patterns.

                                        engraving.jpeg

                                        You are free to use whatever methods you like so anything from Crayon, chalk or charcoal right upto a fancy 3D rendering will be considered and can also just be a 2D side view or 3D model Only criteria to meet is that the iron flywheel will need to have a finished size of 15" dia (381mm) rim 1 1/2" wide and hub 1 5/8" wide.

                                        No cheating by searching around on the net for what I may have already posted, the third version is the one we have settled on. I'll post mine in a day or so.

                                         

                                        J

                                         

                                        PS if anyone has the capacity to 3D print the pattern at a reasonable cost of can suggest a company/individual Myself and graham would be interested to know. CNC routing from foam may also be an option.

                                        Edited By JasonB on 22/07/2020 20:15:08

                                        #487231
                                        SillyOldDuffer
                                        Moderator
                                          @sillyoldduffer
                                          Posted by JasonB on 22/07/2020 19:11:27:

                                          So here is tonights homework …engraving.jpeg

                                          J

                                          I'm so easily distracted!

                                          Reading the blurb to the side of the drawing (which doesn't quite flow properly), I see this isn't a Steam Engine. It's an early gas engine, using Internal Combustion.

                                          braytontext.jpg

                                          If I decode the words correctly the engine is fed a pre-compressed mixture of fuel & air and the top half of the cylinder pumps it into a reservoir hidden inside the pretty fluted column. From there, the fuel passes via a throttle and a wire mesh flame trap direct into the bottom of the cylinder, where it is ignited by a continuously lit open flame underneath.

                                          braytonwkg.jpg

                                          It doesn't work like a modern IC engine, where intake, burn and exhaust happen inside a cylinder sealed and opened by valves in concert with timed ignition. Rather it appears fuel and air are pumped into Brayton's cylinder throughout the power stroke, and the mix is ignited immediately by the flame. It must rely on the flywheel to overcome the pressure generated by ordinary burning to push the still burning exhaust out. I can't see in the picture where the exhaust vent is, possibly exhaust just flashes out of holes in the cylinder base.

                                          The wire-mesh flame trap is needed to stop fuel/air in the reservoir igniting and flashing back to the main fuel tank, kerboom.

                                          The operating cycle was first described by Ericsson, then rediscovered by Joule, and implemented by Brayton.

                                          I notice the engine wasn't demonstrated to the Judges at the Exhibition, and suspect it was a tad too dangerous to attract paying customers! Most of the pictures I found on the web of Brayton's Ready Engine show later models which looks to have been tamed. In the 1876 version, the power and pump cylinders have been separated (ie flywheel drives a separate pump), and the pump creates a vacuum sucking liquid fuel through a nozzle into an air-stream as a carburettor.

                                          Other layouts exist though – this one shows an engine more like Jason's etching, with a clue it runs on Benzene:

                                          All this to avoid doing the hard part of Jason's homework – recreating a buildable model engine from a 19th century woodcut…

                                          Dave

                                          #487430
                                          JasonB
                                          Moderator
                                            @jasonb

                                            Dave, good to know you enjoyed the diversion into the Brayton cycle but it's no excuse for late homework!

                                            This is my effort on the flywheel, not quite right where the spokes blend into the rim but Alibre trips up sometimes when trying to add fillets to a tapering lofted ellipse following a curved path when it intersects with another compound curved surface. Nothing that can't be sorted with some body filler on the pattern before casting.

                                            This is one half of the pattern that has draft angles and shrinkage allowance, the other is the opposite hand so that the spokes match when the two halves go together

                                            pattern snip.jpg

                                            And this is a rendering of how it should look when machined.

                                            flywheel render.jpg

                                            #487483
                                            blowlamp
                                            Participant
                                              @blowlamp

                                              I just traced a bit & eyeballed the rest.

                                              Martin.

                                              fly.jpg

                                              #487488
                                              derek hall 1
                                              Participant
                                                @derekhall1

                                                The dog ate my homework…..

                                                Honestly this 3d drawing stuff you all post on here is fantastic.

                                                I did a mechanical engineering apprenticeship in the 1970's and never got further than drawing spur gears in isometric projection with H2 pencils, set squares and other drawing instruments……

                                                Regards to all

                                                Derek

                                                #487545
                                                duncan webster 1
                                                Participant
                                                  @duncanwebster1

                                                  Further to SOD's post, the top half of the cylinder sucks in air from the atmosphere mixed with fuel, and pumps it into the receiver. This air fuel mix is ignited as it passes into the bottom half, thus increasing it's volume. Much the same as a gas turbine except the fuel is introduced into the air after compression.

                                                  I'm now expecting to get a detention as I haven't even started on the homework set by Jason, and don't intend to, 3D CAD is above my pay grade

                                                  #487552
                                                  SillyOldDuffer
                                                  Moderator
                                                    @sillyoldduffer
                                                    Posted by derek hall 1 on 25/07/2020 06:13:58:..

                                                    I … never got further than drawing spur gears in isometric …

                                                    Spur gears in isometric projection are advanced stuff to me Derek. I did science A-Levels which came bundled with an hour a week of Technical Drawing. Just a taster – no exam at the end of it, and I'm pretty sure no gears were drawn. I may have been asleep!

                                                    Anyway, on with homework. I've never attempted a job like this so it will be fun to see Jason's red-ink. The goal is to translate a 19th Century etching (which may not be technically accurate) into a number of patterns from which the castings needed to make a model can be produced. Ideally a working model!

                                                    I find this intimidating. But, another homework dodge, here's a development plan. Planning is another skilled job, but:

                                                    • Must have a defined goal (making patterns isn't the same as fabricating a working engine)
                                                    • Several Stages, each ending with defined products, peer reviewed with issues fixed or tolerated.
                                                    • Each stage broken down into a series of steps and resourced.
                                                    • Good plans have all the stages mapped out, but only the next stage fully detailed. Decisions ideally deferred so changes can be fed into later stages. Avoid developing a fully detailed end-to-end plan from the get go because these may turn into a Death March. Making it up on the fly is equally bad. OK when done by an experienced individual, comes completely off the rails as soon as a new boy tries it or expensive resources have to be coordinated. Try to find problems early; the cost of fixing mistakes multiplies by roughly 10 for each stage passed. Fixing a dimensional error in Stage 1 in CAD is dirt cheap, whilst the same boob missed until 500 castings have been sent could bankrupt the project.

                                                    Stage One: Gather Information, identify Risks & Issues, & Tooling

                                                    1. How does the engine work? A. Brayton Open Cycle, issues for later:
                                                      • How is the engine be fuelled? Pressurised Gas/Air is risky
                                                      • How is the fuel ignited? Not clear from the drawing
                                                      • How is exhaust managed?
                                                      • Does it matter there's no governor?
                                                      • Is there an important relationship between fuel-pressure, reservoir size, and fly-wheel weight.
                                                      • As the cylinder burns and compresses fuel at the same time, what piston seal will keep flame away from the fuel mix. This is my only serious worry so far.
                                                    2. Tools, chosen because I know them. You might prefer different
                                                      • Paper, pencil & calculator
                                                      • QCAD to collect dimensions from the image and approximate 3D coordinates. Also for doing 2D profiles.
                                                      • Fusion 360 for 3D modelling.
                                                      • Maybe a 3D printer to check scaled down parts.
                                                    3. Establish dimensions, noting the drawing isn't isometric, & although probably realistic, is likely lacking details.
                                                    4. Decide development strategy:
                                                      • Is it possible to model the engine realistically in 3D and then retrofit the model to produce patterns? (Noting Jason's hint about 'shrinkage allowance' )
                                                      • Should development 'fast-track' patterns, designing other parts to fit castings, or design patterns last to suit the working parts. My inclination is to give working parts top priority because it feels easier to design a frame to suit moving parts rather trying to squeeze a mechanism into a fixed frame.

                                                    Stage Two: Translate 2D Dimensions into Obvious 3D Parts

                                                    1. Decide what the parts are. Many obvious, like cylinder, piston, flywheel, others less so. Is the bedplate/frame 1 part or 2? Is the top bearing block part of the frame or separate? Is the reservoir part of the frame or separate? Can the reservoir be cast into the frame directly, avoiding machining?
                                                    2. Produce obvious parts in 3D and assemble to check rough fit. Adjust cosmetically so the engine looks authentic whilst making sure it will work in the real world. Candidates: Bedplate and frame, cylinder, wheels and crank-arm

                                                    Stage Three: Complex 3D Parts

                                                    1. Candidates: piston assembly conrod, conrod fixings, fuel-intake fixtures, throttle, crankshaft, bearings, pipework, cross-head & guide. Adjust for standard size stock.
                                                    2. Check fit by assembling with Stage 2 components, revising if needed. Note interference, assembly, fixing and other issues likely to cause practical problems later.

                                                    Stage Four: Nail Uncertainties

                                                    1. Candidates: Exhaust, Lubrication, Fuel

                                                    Stage Five: Convert Preliminary Fit into Final Fit, Generate 2D Drawings, Review, Correct and Refine

                                                    Stage Six: Build and Test Prototype (Not necessarily the whole engine, or full-size, or in the real world.)

                                                    Stage Seven: Identify castings & develop patterns.

                                                    Stage Eight: Build a Real One

                                                    Stage Nine: Blame the Innocent and Reward the Guilty

                                                    Stage One progress:

                                                    braytonimagedimensions.jpg

                                                    Jason's Flywheel has me worried. I'm not sure how to produce the 'S' shaped spokes in Fusion 360. Might be tricky. Time will tell.

                                                    Dave

                                                    #487556
                                                    blowlamp
                                                    Participant
                                                      @blowlamp

                                                      Dave.

                                                      I did a two-rail sweep (in MoI) to create the spokes.

                                                      Draw two curves to represent the spoke outline with an elipse at one end. Sweep said elipse along both curves and it will scale in accordance with the distance between the curves.

                                                      If Fusion 360 doesn't have that feature, then you should be able to Loft a number of various sized/positioned elipses to get what you are after.

                                                      Martin.

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