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Thread: Metric threading with inch based leadscrew

  1. #11

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    Indeed that was a typo.

    thanks, Marv, for the eagle eyes!

  2. #12
    mklotz mklotz's Avatar
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    The GEARFIND program on my site allows the user to specify

    desired ratio
    allowable maximum ratio error
    number of gear pairs to consider
    minimum number of gear teeth
    maximum number of gear teeth

    It will then find all the gear arrangements within those limits that satisfy the ratio within the allowable error and write this information to an ASCII file that can be read or printed.

    As an example, we can get a bit closer to the desired 1.270000... by using two pairs of gears instead of one. I had the program look for arrangements of gears with teeth in the range 16 - 40 that would provide the ratio with an error less than 0.01%. The output looks like this...

    Code:
    Desired ratio = 1.27
    
    17:18-39:29-  1.27011 (0.00905059 %) **
    17:29-39:18-  1.27011 (0.00905059 %) **
    19:17-25:22-  1.27005 (0.0042107 %) **
    19:22-25:17-  1.27005 (0.0042107 %)
    22:19-34:31-  1.26995 (-0.00401053 %) **
    22:31-34:19-  1.26995 (-0.00401053 %)
    25:17-19:22-  1.27005 (0.0042107 %)
    25:22-19:17-  1.27005 (0.0042107 %)
    25:22-38:34-  1.27005 (0.0042107 %)
    25:34-38:22-  1.27005 (0.0042107 %)
    26:24-34:29-  1.27011 (0.00905059 %)
    26:29-34:24-  1.27011 (0.00905059 %)
    30:23-37:38-  1.27002 (0.00180183 %) **
    30:38-37:23-  1.27002 (0.00180183 %)
    31:28-39:34-  1.26996 (-0.00330841 %)
    31:34-39:28-  1.26996 (-0.00330841 %)
    34:19-22:31-  1.26995 (-0.00401053 %)
    34:24-26:29-  1.27011 (0.00905059 %)
    34:29-26:24-  1.27011 (0.00905059 %)
    34:29-39:36-  1.27011 (0.00905059 %)
    34:31-22:19-  1.26995 (-0.00401053 %)
    34:36-39:29-  1.27011 (0.00905059 %)
    37:23-30:38-  1.27002 (0.00180183 %)
    37:38-30:23-  1.27002 (0.00180183 %)
    38:22-25:34-  1.27005 (0.0042107 %)
    38:34-25:22-  1.27005 (0.0042107 %)
    39:18-17:29-  1.27011 (0.00905059 %)
    39:28-31:34-  1.26996 (-0.00330841 %)
    39:29-17:18-  1.27011 (0.00905059 %)
    39:29-34:36-  1.27011 (0.00905059 %)
    39:34-31:28-  1.26996 (-0.00330841 %)
    39:36-34:29-  1.27011 (0.00905059 %)
    Before someone asks, let me explain the significance of the double asterisks (**) in the program output. As the program finds a solution that satisfies the user's criteria, it checks to see if that solution is better than the best solution it has found so far. If it is, it marks it with the double asterisks. Thus, the user, when examining the file, can simply scan down to the last entry marked with the asterisks to identify the best possible solution.

    Of course, if you're just making a metric bolt, you don't need better accuracy than the 47/37 combination provides. However, in situations that demand high accuracy you may want to keep this program in mind.
    ---
    Regards, Marv


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  3. #13
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    Thanks olderdan! We've added your Metric Threading Method to our Tapping and Threading category,
    as well as to your builder page: olderdan's Homemade Tools. Your receipt:




  4. #14
    [email protected] tonyfoale's Avatar
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    What am I missing here?
    It seems that everyone is looking for ways to avoid using a 127 tooth gear. Is there something wrong with using 127?

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    olderdan (10-01-2017)

  6. #15
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    Tony, I don’t think anyone is saying there is something wrong with a 127T gear, we know that is the perfect choice if you have one.
    I do not have one and can’t make one with my 60:1 dividing head and they are expensive to buy, hence the compromise approach. I also do not have CNC available.

  7. #16
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    Quote Originally Posted by olderdan View Post
    Tony, I don’t think anyone is saying there is something wrong with a 127T gear, we know that is the perfect choice if you have one.
    I do not have one and can’t make one with my 60:1 dividing head and they are expensive to buy, hence the compromise approach. I also do not have CNC available.
    OK, so that is what I was missing. Every lathe with an inch based lead screw that I have used had a 127 tooth gear and I assumed that was universal.

  8. #17
    LMMasterMariner's Avatar
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    Quote Originally Posted by olderdan View Post
    Tony, I don’t think anyone is saying there is something wrong with a 127T gear, we know that is the perfect choice if you have one.
    I do not have one and can’t make one with my 60:1 dividing head and they are expensive to buy, hence the compromise approach. I also do not have CNC available.
    Couple of years ago I found small (24 kB) program 'SuperSpacer' and below is calculation for cutting 127 gears.


    Tooth,Degrees,Minutes,Seconds
    01, 002, 50, 04.72
    02, 005, 40, 09.45
    03, 008, 30, 14.17
    04, 011, 20, 18.90
    05, 014, 10, 23.62
    06, 017, 00, 28.35
    07, 019, 50, 33.07
    08, 022, 40, 37.80
    09, 025, 30, 42.52
    10, 028, 20, 47.24
    11, 031, 10, 51.97
    12, 034, 00, 56.69
    13, 036, 51, 01.42
    14, 039, 41, 06.14
    15, 042, 31, 10.87
    16, 045, 21, 15.59
    17, 048, 11, 20.31
    18, 051, 01, 25.04
    19, 053, 51, 29.76
    20, 056, 41, 34.49
    21, 059, 31, 39.21
    22, 062, 21, 43.94
    23, 065, 11, 48.66
    24, 068, 01, 53.39
    25, 070, 51, 58.11
    26, 073, 42, 02.83
    27, 076, 32, 07.56
    28, 079, 22, 12.28
    29, 082, 12, 17.01
    30, 085, 02, 21.73
    31, 087, 52, 26.46
    32, 090, 42, 31.18
    33, 093, 32, 35.91
    34, 096, 22, 40.63
    35, 099, 12, 45.35
    36, 102, 02, 50.08
    37, 104, 52, 54.80
    38, 107, 43, -00.47
    39, 110, 33, 04.25
    40, 113, 23, 08.98
    41, 116, 13, 13.70
    42, 119, 03, 18.42
    43, 121, 53, 23.15
    44, 124, 43, 27.87
    45, 127, 33, 32.60
    46, 130, 23, 37.32
    47, 133, 13, 42.05
    48, 136, 03, 46.77
    49, 138, 53, 51.50
    50, 141, 43, 56.22
    51, 144, 34, 00.94
    52, 147, 24, 05.67
    53, 150, 14, 10.39
    54, 153, 04, 15.12
    55, 155, 54, 19.84
    56, 158, 44, 24.57
    57, 161, 34, 29.29
    58, 164, 24, 34.02
    59, 167, 14, 38.74
    60, 170, 04, 43.46
    61, 172, 54, 48.19
    62, 175, 44, 52.91
    63, 178, 34, 57.64
    64, 181, 25, 02.36
    65, 184, 15, 07.09
    66, 187, 05, 11.81
    67, 189, 55, 16.53
    68, 192, 45, 21.26
    69, 195, 35, 25.98
    70, 198, 25, 30.71
    71, 201, 15, 35.43
    72, 204, 05, 40.16
    73, 206, 55, 44.88
    74, 209, 45, 49.61
    75, 212, 35, 54.33
    76, 215, 26, -00.95
    77, 218, 16, 03.78
    78, 221, 06, 08.50
    79, 223, 56, 13.23
    80, 226, 46, 17.95
    81, 229, 36, 22.68
    82, 232, 26, 27.40
    83, 235, 16, 32.13
    84, 238, 06, 36.85
    85, 240, 56, 41.57
    86, 243, 46, 46.30
    87, 246, 36, 51.02
    88, 249, 26, 55.75
    89, 252, 17, 00.47
    90, 255, 07, 05.20
    91, 257, 57, 09.92
    92, 260, 47, 14.64
    93, 263, 37, 19.37
    94, 266, 27, 24.09
    95, 269, 17, 28.82
    96, 272, 07, 33.54
    97, 274, 57, 38.27
    98, 277, 47, 42.99
    99, 280, 37, 47.72
    100, 283, 27, 52.44
    101, 286, 17, 57.16
    102, 289, 08, 01.89
    103, 291, 58, 06.61
    104, 294, 48, 11.34
    105, 297, 38, 16.06
    106, 300, 28, 20.79
    107, 303, 18, 25.51
    108, 306, 08, 30.24
    109, 308, 58, 34.96
    110, 311, 48, 39.68
    111, 314, 38, 44.41
    112, 317, 28, 49.13
    113, 320, 18, 53.86
    114, 323, 08, 58.58
    115, 325, 59, 03.31
    116, 328, 49, 08.03
    117, 331, 39, 12.75
    118, 334, 29, 17.48
    119, 337, 19, 22.20
    120, 340, 09, 26.93
    121, 342, 59, 31.65
    122, 345, 49, 36.38
    123, 348, 39, 41.10
    124, 351, 29, 45.83
    125, 354, 19, 50.55
    126, 357, 09, 55.27
    127, 360, 00, 00.00

    So, if you have enough patience and decent rotary table you can do it.

    Regards
    LMMasterMariner

  9. The Following User Says Thank You to LMMasterMariner For This Useful Post:

    Paul Jones (10-05-2017)

  10. #18
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    SuperSpacer and Youtube

    Screenshot of SuperSpacer program and a reason why I am not watching any video clips at youtube.

    Regards
    LMMasterMariner
    Attached Thumbnails Attached Thumbnails Metric threading with inch based leadscrew-superspacer-youtube.jpg  

  11. #19
    mklotz mklotz's Avatar
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    The ROTARY program, free from my site, will do the same thing and won't be blacklisted.

    Code:
    Number of divisions = 127 
    
    DIVISION      degdec     deg     min     sec
           0      0.0000       0       0       0
           1      2.8346       2      50       5
           2      5.6693       5      40       9
           3      8.5039       8      30      14
           4     11.3386      11      20      19
           5     14.1732      14      10      24
           6     17.0079      17       0      28
           7     19.8425      19      50      33
           8     22.6772      22      40      38
           9     25.5118      25      30      43
          10     28.3465      28      20      47
          11     31.1811      31      10      52
          12     34.0157      34       0      57
          13     36.8504      36      51       1
          14     39.6850      39      41       6
          15     42.5197      42      31      11
          16     45.3543      45      21      16
          17     48.1890      48      11      20
          18     51.0236      51       1      25
          19     53.8583      53      51      30
          20     56.6929      56      41      34
          21     59.5276      59      31      39
          22     62.3622      62      21      44
          23     65.1969      65      11      49
          24     68.0315      68       1      53
          25     70.8661      70      51      58
          26     73.7008      73      42       3
          27     76.5354      76      32       8
          28     79.3701      79      22      12
          29     82.2047      82      12      17
          30     85.0394      85       2      22
          31     87.8740      87      52      26
          32     90.7087      90      42      31
          33     93.5433      93      32      36
          34     96.3780      96      22      41
          35     99.2126      99      12      45
          36    102.0472     102       2      50
          37    104.8819     104      52      55
          38    107.7165     107      43       0
          39    110.5512     110      33       4
          40    113.3858     113      23       9
          41    116.2205     116      13      14
          42    119.0551     119       3      18
          43    121.8898     121      53      23
          44    124.7244     124      43      28
          45    127.5591     127      33      33
          46    130.3937     130      23      37
          47    133.2283     133      13      42
          48    136.0630     136       3      47
          49    138.8976     138      53      51
          50    141.7323     141      43      56
          51    144.5669     144      34       1
          52    147.4016     147      24       6
          53    150.2362     150      14      10
          54    153.0709     153       4      15
          55    155.9055     155      54      20
          56    158.7402     158      44      25
          57    161.5748     161      34      29
          58    164.4094     164      24      34
          59    167.2441     167      14      39
          60    170.0787     170       4      43
          61    172.9134     172      54      48
          62    175.7480     175      44      53
          63    178.5827     178      34      58
          64    181.4173     181      25       2
          65    184.2520     184      15       7
          66    187.0866     187       5      12
          67    189.9213     189      55      17
          68    192.7559     192      45      21
          69    195.5906     195      35      26
          70    198.4252     198      25      31
          71    201.2598     201      15      35
          72    204.0945     204       5      40
          73    206.9291     206      55      45
          74    209.7638     209      45      50
          75    212.5984     212      35      54
          76    215.4331     215      25      59
          77    218.2677     218      16       4
          78    221.1024     221       6       9
          79    223.9370     223      56      13
          80    226.7717     226      46      18
          81    229.6063     229      36      23
          82    232.4409     232      26      27
          83    235.2756     235      16      32
          84    238.1102     238       6      37
          85    240.9449     240      56      42
          86    243.7795     243      46      46
          87    246.6142     246      36      51
          88    249.4488     249      26      56
          89    252.2835     252      17       0
          90    255.1181     255       7       5
          91    257.9528     257      57      10
          92    260.7874     260      47      15
          93    263.6220     263      37      19
          94    266.4567     266      27      24
          95    269.2913     269      17      29
          96    272.1260     272       7      34
          97    274.9606     274      57      38
          98    277.7953     277      47      43
          99    280.6299     280      37      48
         100    283.4646     283      27      52
         101    286.2992     286      17      57
         102    289.1339     289       8       2
         103    291.9685     291      58       7
         104    294.8031     294      48      11
         105    297.6378     297      38      16
         106    300.4724     300      28      21
         107    303.3071     303      18      26
         108    306.1417     306       8      30
         109    308.9764     308      58      35
         110    311.8110     311      48      40
         111    314.6457     314      38      44
         112    317.4803     317      28      49
         113    320.3150     320      18      54
         114    323.1496     323       8      59
         115    325.9843     325      59       3
         116    328.8189     328      49       8
         117    331.6535     331      39      13
         118    334.4882     334      29      17
         119    337.3228     337      19      22
         120    340.1575     340       9      27
         121    342.9921     342      59      32
         122    345.8268     345      49      36
         123    348.6614     348      39      41
         124    351.4961     351      29      46
         125    354.3307     354      19      51
         126    357.1654     357       9      55
         127    360.0000       0       0       0
    ---
    Regards, Marv


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  13. #20
    LMMasterMariner's Avatar
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    SuperSpacer is working fine. I downloaded it couple of years ago. But I am having problems with youtube recently. That web page is blacklisted.
    Must check your web site. Thanks for sharing.

    Regards
    LMMasterMariner

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