This section is from the book "The Mechanician, A Treatise On The Construction And Manipulation Of Tools", by Cameron Knight. Also available from Amazon: The mechanician: A treatise on the construction and manipulation of tools.
In the case of a left-handed screw requiring to be cut with these compound wheels, only one connecting-wheel is employed, instead of the two required for a simple-gear seen in Fig. 1125.
By referring to the Figure 1127, it will be seen that the spindles of the connecting-wheels are quite distinct from each other, and from the screwing-wheels as before stated, so that they cannot affect the relative speed of the wheels between which they are placed ; consequently the wheels mentioned in the Tables of compound wheels, are, like those for simple wheels, calculated as if no auxiliary wheels are to be used. The Tables of compound wheels are numbered 11 and 12. In Table 11, the steps per inch to be cut are situate between their respective four wheels, above, below, to the right, and to the left.
Numbers of Steps per inch in Screws to be cut | Numbers of Teeth on Mandril-wheels. | Numbers of Teeth on Screw-wheels. |
24 | 20 | 120 |
23 | 20 | 116 |
22 | 20 | 110 |
21 | 20 | 105 |
20 | 20 | 100 |
19 | 20 | 95 |
18 | 20 | 90 |
17 | 20 | 85 |
16 | 25 | 100 |
30 | 120 | |
15 | 20 | 75 |
14 1/2 | 40 | 145 |
14 | 20 | 70 |
30 | 105 | |
40 | 140 | |
13 1/2 | 40 | 135 |
13 | 20 | 65 |
40 | 130 | |
12 1/3 | 40 | 125 |
121212 | 20 | 60 |
25 | 75 | |
30 | 90 | |
40 | 120 | |
11 1/2 | 40 | 115 |
11 | 20 | 55 |
40 | 110 |
Numbers of Steps per inch in Screws to be cut. | Numbers of Teeth on Mandrilwheels. | Numbers of Teeth on Screw-wheels. |
10 1/2 | 40 | 105 |
10 | 20 | 50 |
30 | 75 | |
40 | 100 | |
9 1/2 | 40 | 95 |
9 | 20 | 45 |
40 | 90 | |
8 1/2 | 40 | 85 |
8 | 30 | 60 |
25 | 50 | |
40 | 80 | |
7 1/2 | 40 | 75 |
7 | 40 | 70 |
6O | 105 | |
6 1/2 | 40 | 65 |
80 | 130 | |
6 | 40 | 60 |
50 | 75 | |
30 | 45 | |
60 | 90 | |
5 1/2 | 40 | 55 |
80 | 110 | |
5 | 40 | 50 |
60 | 75 | |
4 3/4 | 80 | 95 |
Numbers of Steps per inch in Screws to be cut. | Numbers of Teeth on Mandril-wheels. | Numbers of Teeth on Screw-wheels |
4 1/2 | 40 | 45 |
80 | 90 | |
4 1/4 | 80 | 85 |
4 | 50 | 50 |
60 | 60 | |
90 | 90 | |
3 3/4 | 80 | 75 |
3 1/2 | 40 | 35 |
80 | 70 | |
3 1/4 | 80 | 65 |
3 | 40 | 30 |
60 | 45 | |
80 | 60 | |
2 3/4 | 80 | 55 |
2 1/2 | 80 | 50 |
2 1/4 | 80 | 45 |
2 | 60 | 30 |
80 | 40 | |
90 | 45 | |
1 3/4 | 80 | 35 |
1 1/2 | 80 | 30 |
1 1/4 | 80 | 25 |
1 | 80 | 20 |
100 | 25 |
Numbers of Steps per inch in Screws to be cut. | Numbers of Teeth on Mandril-wheels. | Numbers of Teeth on Screw-wheels. |
15 | 20 | 150 |
14 1/2 | 20 | 145 |
14 | 20 | 140 |
13 1/2 | 20 | 135 |
13 | 20 | 130 |
12 1/2 | 20 | 125 |
12 | 20 | 120 |
11 1/2 | 20 | 115 |
11 | 20 | 110 |
10 1/2 | 20 | 105 |
10 | 20 | 100 |
9 1/2 | 20 | 95 |
9 | 20 | 90 |
30 | 135 | |
8 1/2 | 20 | 85 |
8 | 20 | 80 |
25 | 100 | |
30 | 120 | |
7 1/2 | 20 | 75 |
40 | 150 | |
7 | 20 | 70 |
30 | 105 | |
40 | 140 | |
6 3/4 | 40 | 135 |
6 1/2 | 20 | 65 |
40 | 130 | |
6 1/4 | 40 | 125 |
Numbers of Steps per inch in Screws to be cut. | Numbers of Teeth on Mandril-wheels. | Numbers of Teeth on Screw-wheels. |
6 | 20 | 60 |
30 | 90 | |
5 3/4 | 40 | 115 |
5 1/2 | 20 | 55 |
40 | 110 | |
5 1/4 | 40 | 105 |
5 | 20 | 50 |
30 | 75 | |
40 | 100 | |
43/4 | 40 | 95 |
4 1/2 | 20 | 45 |
40 | 90 | |
4 1/2 | 40 | 85 |
4 | 20 | 40 |
25 | 50 | |
30 | 60 | |
3 3/4 | 40 | 75 |
80 | 150 | |
3 1/2 | 20 | 35 |
40 | 70 | |
60 | 105 | |
80 | 140 | |
3 1/4 | 40 | 65 |
80 | 130 | |
3 | 20 | 30 |
30 | 45 | |
40 | 60 |
Numbers of Steps per inch in Screws to be cut. | Numbers of Teeth on Mandril-wheels. | Numbers of Teeth on Screw-wheels. |
2 3/4 | 40 | 55 |
80 | 110 | |
2 1/2 | 40 | 50 |
6O | 75 | |
2 1/4 | 40 | 45 |
80 | 90 | |
2 | 20 | 20 |
50 | 50 | |
60 | 60 | |
1 3/4 | 40 | 35 |
80 | 70 | |
1 | 40 | 30 |
60 | 45 | |
1 1/4 | 40 | 25 |
80 | 50 | |
1 | 40 | 20 |
50 | 25 | |
9/10 | 100 | 45 |
8/10 | 100 | 40 |
75 | 30 | |
7/10 | 100 | 35 |
6/16 | 100 | 30 |
5/10 | 100 | 25 |
4 /10 | 125 | 25 |
20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | ||
70 | 29.75 | 23.8 | 19.833 | 17. | 14.875 | 13.222 | 11-9 | 10818 | 9.916 | 9153 | 8.5 | 85 |
70 | 28. | 22.4 | 18.666 | 16. | 14. | 12.444 | 11.2 | 10.181 | 9.333 | 8.615 | 8. | 80 |
70 | 26.25 | 21. | 17.5 | 15. | 13125 | 11.666 | 10 5 | 9.545 | 8.75 | 8.076 | 7.5 | 75 |
65 | 48.75 | 39. | 32.5 | 27.857 | 24.375 | 21.666 | 19..5 | 17.727 | 16.25 | 15. | 13.928 | 150 |
65 | 45.5 | 36.4 | 30.333 | 26.. | 22.75 | 20222 | 18.2 | 16.545 | 15.166 | 14. | 13. | 140 |
65 | 42.25 | 33.8 | 28.166 | 24.1428 | 21.125 | 18.777 | 16.9 | 15.363 | 14.083 | 13. | 12.071 | 130 |
65 | 39. | 31.2 | 26. | 22.285 | 19-5 | 17.333 | 15.6 | 14.181 | 13. | 12. | 11142 | 120 |
65 | 35.75 | 286 | 23.833 | 20..428 | 17.875 | 15.888 | 14.3 | 13. | 11.916 | 11. | 10.214 | 110 |
65 | 32.5 | 26. | 21.666 | 18.571 | 16.25 | 14.444 | 13. | 11.818 | 10.833 | 10. | 9.285 | 100 |
65 | 30.875 | 24.7 | 20.583 | 17.642 | 15.437 | 13 722 | 12.35 | 11.227 | 10.291 | 9.5 | 8.821 | 95 |
65 | 29.25 | 23.4 | 19.5 | 16.714 | 14.625 | 13. | 11.7 | 10.636 | 9.75 | 9. | 8.357 | 90 |
65 | 27.625 | 22.1 | 18.4166 | 15.785 | 13.812 | 12.277 | 11.05 | 10.045 | 9.208 | 8.5 | 7.892 | 85 |
65 | 26. | 20.8 | 17.333 | 14.857 | 13. | 11.555 | 10.4 | 9.454 | 8.666 | 8. | 7.428 | 80 |
65 | 24.375 | 19.5 | 16.25 | 13.928 | 12.87 | 10.833 | 9.75 | 8.863 | 8.125 | 7.5 | 6.964 | 75 |
65 | 22.75 | 18.2 | 15166 | 13. | 11.375 | 10111 | 91 | 8272 | 7.583 | 7. | 6.5 | 70 |
40 | 14. | 11-2 | 9.333 | 8. | 7. | 6.222 | 5.6 | 5.091 | 4.666 | 4.307 | 4. | 70 65 |
40 | 13. | 10.4 | 8.6C6 | 7.428 | 6.5 | 5.777 | 5.2 | 4.727 | 4.333 | 4. | 3.714 | |
40 | 12. | 9.6 | 8. | 6.857 | 6. | 5.333 | 4.8 | 4.363 | 4. | 3.692 | 3.428 | 60 |
40 | 11. | 8.8 | 7.333 | 6.285 | 5.5 | 4.888 | 4.4 | 4. | 3666 | 3 384 | 3142 | 55 |
40 | 10. | 8. | 6.666 | 5..714 | 5. | 4.444 | 4 | 3.636 | 3.333 | 3076 | 2.857 | 50 |
40 | 9. | 7.2 | 6. | 5.142 | 4.5 | 4. | 3.6 | 3.272 | 3. | 2.769 | 2.571 | 45 |
35 | 2625 | 21. | 17.5 | 15. | 13125 | 11.666 | 10.5 | 9.545 | 8.75 | 8.076 | 7.5 | 150 |
35 | 24.5 | 19.6 | 16.333 | 14. | 12.25 | 10.888 | 9.8 | 8.909 | 8.166 | 7.538 | 7. | 140 |
35 | 22.75 | 18.2 | 15.166 | 13. | 11.375 | 10.111 | 9.1 | 8.272 | 7.583 | 7. | 6.5 | 130 |
35 | 21. | 16.8 | 14. | 12. | 10.5 | 9.333 | 8.4 | 7.636 | 7. | 6.461 | 6. | 120 |
35 | 19.25 | 15.4 | 12.833 | 11. | 9.625 | 8.555 | 7.7 | 7. | 6.416 | 5.923 | 5.5 | 110 |
35 | 17-5 | 14. | 11.666 | 10. | 8.75 | 7.777 | 7. | 6.363 | 5.833 | 5.384 | 5. | 100 |
35 | 16.625 | 13.3 | 11.083 | 9.5 | 8.312 | 7388 | 6.65 | 6.045 | 5.541 | 5115 | 4.75 | 95 |
35 | 15.75 | 12.6 | 10.5 | 9. | 7.875 | 7. | 6.3 | 5.727 | 5.25 | 4.3846 | 4.5 | 90 |
35 | 14.875 | 11.9 | 9.916 | 8.5 | 7.437 | 6.611 | 5.95 | 5.409 | 4.958 | 4.577 | 4.25 | 85 |
20 | 25 | 30 | 35 | 40 | 45 | 50 | 55 | 60 | 65 | 70 |
Driven wheels.
Driving Wheels.
Driven wheels.
Numbers of Steps per centimetre in Screws to be cut. | Driving wheels. | Driven wheels. | ||
1 | 50 | 50 | ||
60 | 60 | |||
30 | 30 | |||
1.1 | 50 | 55 | ||
100 | 110 | |||
1.2 | 50 | 60 | ||
100 | 120 | |||
1.3 | 50 | 65 | ||
100 | 130 | |||
1.4 | 25 | 35 | ||
50 | 70 | |||
100 | 140 | |||
1.5 | 20 | 30 | ||
40 | 60 | |||
50 | 75 | |||
16 | 25 | 40 | ||
50 | 80 | |||
1.7 | 50 | 85 | ||
1.8 | 25 | 45 | ||
50 | 90 | |||
Numbers of Steps per centimetre in Screws to be cut. | Driving wheels. | Driven wheels. | ||
1.9 | 50 | 95 | ||
2. | 20 | 40 | ||
30 | 60 | |||
21 | 50 | 105 | ||
2.2 | 25 | 55 | ||
50 | 110 | |||
2.3 | 50 | 115 | ||
2.4 | 25 | 60 | ||
50 | 120 | |||
2.5 | 20 | 50 | ||
40 | 100 | |||
2.6 | 25 | 65 | ||
50 | 130 | |||
2.7 | 20 | 100 | 45 | 120 |
2.8 | 25 | 70 | ||
20 | 100 | 40 | 140 | |
2.9 | 40 | 50 | 40 | 145 |
3. | 20 | 60 | ||
30 | 90 | |||
Numbers of Steps per centimetre in Screws to be cut. | Driving wheels. | Driven wheels. | ||
3.1 | 20 | 62 | ||
30 | 40 | 30 | 124 | |
50 | 20 | 20 | 155 | |
20 | 30 | 30 | 62 | |
3.2 | 25 | 80 | ||
20 | 50 | 40 | 80 | |
3.3 | 20 | 50 | 55 | 60 |
3.4 | 25 | 85 | ||
20 | 75 | 60 | 85 | |
3.5 | 20 | 70 | ||
30 | 105 | |||
3.6 | 25 | 90 | ||
3.75 | 20 | 75 | ||
40 | 150 | |||
3.8 | 20 | 75 | 95 | 60 |
3.9 | 20 | 100 | 60 | 130 |
4. | 20 | 80 | ||
25 | 100 | |||
4.1 | 20 | 82 | ||
30 | 20 | 30 | 82 | |
 
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