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    Re: HR-1 working re-creation
    From: Wolfgang Hasper
    Date: 2010 Jan 18, 20:34 +0100

    Wow!!
    
    Gary, you mention the weight is a lot higher compared 
    to your earlier attempt-
    does this fact affect the handling significantly? Or 
    does it just reduce the payload of your plane...?
    
    Wolfgang
    
    
    Am Montag, 18. Januar 2010 12:59 schrieb Gary LaPook:
    > I wrote back in July about my plan to make a working
    > model of the HR-1 German model of the Bygrave slide
    > rule using off-the-shelf items to make the locking
    > device that sets the HR-1 apart from the Bygrave.
    > See my prior posts at:
    >
    >
    > http://www.fer3.com/arc/m2.aspx?i=109056&y=200907
    >
    > http://www.fer3.com/arc/m2.aspx?i=109993&y=200909
    >
    > I have now accomplished my goal. I have attached
    > twenty eight photographs showing how to do this, but
    > read my prior posts before going further.
    >
    > Going in numerical order, the first two photos show
    > the 1.500 inch outside diameter tube that I have
    > used for my prior Bygrave re-creations cut off to
    > ten inches that will be used to mount the cotangent
    > scale.
    >
    > The next photo shows the locking mechanism I had
    > described in my prior posts along with the cotangent
    > tube and a piece of PVC pipe cut to fit inside the
    > cotangent tube to take the compression load of the
    > locking mechanism.
    >
    > Photo four shows the locking mechanism with the PVC
    > pipe in the assembled position.
    >
    > Photos five, six and seven show the same now
    > installed inside the cotangent tube.
    >
    > Photo eight shows a detail of the expanding ring
    > that is used to lock the two tubes together.
    >
    > The difficulty in making this is finding tubes that
    > are a good tight fit. I found aluminum tubing used
    > for making antennas at:
    >
    > http://www.dxengineering.com/Products.asp?ID=278&Sec
    >ID=136&DeptID=43
    >
    > They have tubing with an outside diameter of 1.625
    > inches and a wall thickness of .058 inches making
    > the internal diameter 1.519 inches, a good fit on
    > 1.500 inch O.D. tubing. If you could print the
    > cotangent scale directly on the 1.500 tube this
    > would be a good solution but my method requires me
    > to print the scale on paper and mount it on the tube
    > under a plastic sheet for protection making the
    > diameter of the cotangent scale 1.520 inches, too
    > large to fit inside a tube of this size.
    >
    > The next largest size of tubing in 1.75 O.D., 1.634
    > I.D., too large for a good fit on the 1.520 diameter
    > cotangent scale.
    >
    > http://www.dxengineering.com/Parts.asp?ID=2413&PLID=
    >278&SecID=136&DeptID=43&PartNo=DXE-AT1251
    >
    > Photo nine shows this tubing in line with the
    > cotangent tube.
    >
    > Photo ten shows my solution to this problem. I
    > decided to bush the inner tube out to fit closely to
    > the cosine, outer, tube. I used five sheets of
    > regular paper, 8.5 by 11 inches (standard paper size
    > in the U.S.), glued with rubber cement (which has
    > the advantage, that if you need to start over, the
    > glue will come off easily) totaling 55 inches
    > wrapped around the tube. The paper is .004 inches
    > thick and the five sheets brought the diameter close
    > enough (considering that the cotangent scale and the
    > plastic sheet would be placed around it) to make a
    > good fit to the cosine tube. Since I wanted to seal
    > the scale from the environment, prior to putting the
    > paper on the tube, I used several sheets of the
    > sticky plastic sheets cut into 1/4 inch wide strips
    > to wrap around the tube near the top to bring the
    > diameter out far enough that the plastic sheet
    > mounted on top of the scale would stick to these
    > layers of plastic thus sealing off the top of the
    > tube and the scale. After mounting the paper I did
    > the same thing at the other  end of the paper this
    > time using 3/4 inch wide strips.
    >
    > Photo eleven shows the cotangent scale and photo
    > twelve, thirteen and fourteen shows th scale mounted
    > on top of the paper on the cotangent tube and
    > covered with the protective plastic sheet.
    >
    > Photos fifteen and sixteen show the cosine scale
    > mounted on the larger tube and covered with a
    > plastic sheet. Photos seventeen and eighteen show
    > the cotangent tube being inserted inside the cosine
    > tube.
    >
    >
    > Making the cosine scale presented a bit of a
    > problem. Since the cosine tube has an O.D of 1.750
    > and the cotangent scale was only 1.520 inches in
    > diameter it was necessary to print the cosine scale
    > at a larger scale than the cotangent scale which was
    > not a problem using Acrobat. However when I tried
    > out the scales a problem presented itself. My
    > printer made the cosine scale wider but also taller
    > so that the pitch of the scales no longer matched.
    > Although it worked this way it caused ambiguity
    > since the cursor would sometimes end up between
    > spirals on the cotangent scale and either answer
    > (higher or lower than the end of the cursor) could
    > have been the correct one. I contacted Dave Walden
    > (the original source for the scales I have been
    > using) and he was able to modify the vertical and
    > horizontal ratios of the cosine scale so that, when
    > printed out wide enough to fit around the tube, the
    > vertical spiral pitch matched the cotangent scale.
    > (Thanks again Dave.)
    >
    > Photos nineteen and twenty show the two cursors, the
    > cosine cursor pointing to zero and the cotangent
    > cursor on 76 degrees. I again made the cursor  out
    > of clear plastic by first printing the instructions
    > on a sheet of paper, drawing in the cursors and then
    > photocopying this onto a clear plastic sheet made
    > for use in an ink jet printer. I then wrapped it
    > tightly around the cosine scale and held in that
    > position with two pieces of scotch tape on the
    > inside of the cursor tube. I then wrapped a sticky
    > clear plastic sheet around it to protect the
    > printing on the cursor tube and to hold it in shape.
    > I then removed the scotch tape.
    >
    > Photo twenty-one shows the condensed instructions
    > printed on the cursor tube. The cosine scale is
    > white underneath this section of the cursor tube to
    > enable easier reading of the instructions.
    >
    > Photo twenty-two shows the "zig-zag" printed on the
    > cursor tube which lines up with the two cursors to
    > guide the user through the computation.
    >
    > Photo twenty-three and twenty-four show close ups of
    > the cursors pointing to zero on the cosine scale and
    > 76� on the cotangent scale.
    >
    > Photo twenty-five shows the cursor pointing to 76�on
    > the cotangent scale.
    >
    > Photo twenty-six shows the tubes extended so that
    > the cotangent cursor can point at 55'.
    >
    > Photo twenty-seven shows a close up of the cursor
    > pointing to 55' at the bottom of the cotangent
    > scale.
    >
    > Photo twenty-eight shows the tubes collapsed.
    >
    > Turning the wing-nut (control knob) one quarter of a
    > turn locks the two tubes together and is an easy
    > manipulation to make. Since the cosine tubing is
    > only .058 inches thick the cosine scale and the
    > cotangent scale are very close together, and to the
    > cursor, minimizing any parallax problem when reading
    > the scales.
    >
    > I have also attached the modified cosine scale and
    > note that the tick marks go down from the line under
    > the numbers. The cotangent scale is made with the
    > scales posted last March bt Dave Walden for the flat
    > Bygrave at
    > http://fer3.com/arc/img/107501.f2-lapook1.pdf
    >
    > Also attached is the form for the cursor tube.
    >
    > The only downside to this model, compared to the
    > prior model I made of the Bygrave, is that it is
    > three times heavier since the locking mechanism and
    > the cosine tube each weigh as much as my original
    > re-creation of the Bygrave.
    >
    > I demonstrated this HR-1 to Frank, Mike and Greg
    > prior to our flight last Saturday.
    > gl
    
    
    

       
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