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    Re: HR-1 working re-creation
    From: Gary LaPook
    Date: 2010 Jan 21, 23:26 -0800
    It only effects the useful load of the plane.

    My original re-creation weighs 5.98 oz (169.5 gm). My HR-1 recreation weighs 21.94 oz (622.0 gm). The cotangent tube, including the locking mechanism, weighs 15.16 oz (429.8 gm) and the cosine tube carrying the clear plastic cursor tube weighs 6.78 oz (192.2 gm.)

    There are two ways to utilize the locking mechanism. You can line up the cotangent value with the cursor and then turn the locking knob one-quarter turn to lock the two tubes solidly together. Or you can just tighten up the knob just enough to provide sufficient friction to allow you to move the tube which also provides enough friction so that the tubes will stay in position without further tightening up the knob. This second method is the easier method.

    gl


    Wolfgang Hasper wrote:
    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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