This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
No. | Log. |
1.05 | •049 |
11 | •095 |
1.15 | •14 |
1.2 | •182 |
1.25 | •223 |
1.3 | •262 |
1.33 | 488 |
1.35 | •8 |
1.4 | .336 |
1.45 | .372 |
1.5 | •405 |
1.55 | •438 |
1.6 | •47 |
1.65 | •5 |
1.66 | •506 |
1.7 | .531 |
1.75 | •56 |
1.8 | .588 |
1.85 | •612 |
1.9 | •642 |
1.95 | •668 |
2. | •693 |
2.05 | •718 |
2.1 | •742 |
2.15 | .765 |
2.2 | •788 |
2.25 | •811 |
2.8 | •838 |
2.33 | •846 |
2.35 | •854 |
24 | •875 |
2.45 | •896 |
2.5 | •916 |
2.55 | •936 |
2.6 | •956 |
No. | Log. |
.265 | •975 |
2.66 | •978 |
2.7 | •993 |
2.75 | 1.012 |
2.8 | 1.03 |
2.85 | 1.047 |
2.9 | 1.065 |
2.95 | 1.082 |
3. | 1.099 |
3.05 | 1.115 |
3.1 | 1.131 |
3.15 | 1.147 |
3.2 | 1.163 |
3.25 | 1.179 |
3.3 | 1.194 |
3.33 | 1.202 |
3.35 | 1.209 |
3.4 | 1.224 |
3.45 | 1 238 |
3.5 | 1.253 |
3.55 | 1.267 |
3.6 | 1.281 |
3.65 | 1.295 |
3.66 | 1.297 |
3.7 | 1.308 |
3.75 | 1.322 |
3.8 | 1.335 |
3.85 | 1.348 |
3.9 | 1.361 |
3.95 | 1.374 |
4. | 1.386 |
4.05 | 1.399 |
4.1 | 1.411 |
4.15 | 1.423 |
4.2 | 1.435 |
No. | Log. |
4.25 | 1.447 |
4.3. | 1.459 |
4.33 | 1.465 |
4.35 | 1.47 |
4.4 | 1.482 |
4.45 | 1.493 |
4.5 | 1.504 |
4.55 | 1.515 |
4.6 | 1 426 |
4.65 | 1.537 |
4.66 | 1.54 |
4.7 | 1.548 |
4.75 | 1.558 |
4.8 | 1.569 |
4.85 | 1.579 |
4.9 | 1.589 |
4.95 | 1.599 |
5. | 1.609 |
5.05 | 1.619 |
5.1 | 1.629 |
5.15 | 1.639 |
5.2 | 1.649 |
5.25 | 1.658 |
5.3 | 1.668 |
5.33 | 1.673 |
5.35 | 1.677 |
5.4 | 1.686 |
5.45 | 1.696 |
5.5 | 1.705 |
5.55 | 1.714 |
5.6 | 1.728 |
5.65 | 1.732 |
5.66 | 1.733 |
5.7 | 1.74 |
5.75 | 1.749 |
No. | Log. |
5.8 | 1.768 |
686 | 1.766 |
5.9 | 1.775 |
5.95 | 1.783 |
6. | 1.792 |
6.05 | 1.8 |
6.1 | 1.808 |
6.15 | 1.816 |
6.2 | 1.824 |
6.25 | 1.833 |
68 | 1.841 |
6.33 | 1446 |
6.35 | 1.848 |
6.4 | 1.856 |
6.45 | 1.864 |
6.5 | 1.872 |
6.55 | 1.879 |
6.6 | 1.887 |
6.65 | 1.895 |
6.66 | 1.896 |
6.7 | 1.902 |
6.75 | 1.91 |
6.8 | 1917 |
6.85 | 1.924 |
6.9 | 1.931 |
6.95 | 1.939 |
7. | 1.946 |
7 05 | 1.953 |
71 | 1.96 |
7.15 | 1.967 |
7.2 | 1.974 |
] 46 | 1.981 |
7.3 | 1.988 |
7.33 | 1.991 |
7.35 | 1.995 |
No. | Log. |
7.4 | 2-001 |
7.45 | 2408 |
7.5 | 2.015 |
7.55 | 2.022 |
74 | 2.028 |
7.65 | 2.035 |
746 | 2 036 |
7.7 | 2.041 |
7.75 | 2.048 |
7.8 | 2.054 |
7.85 | 2.061 |
7.9 | 2.067 |
7.95 | 2.073 |
8. | 2.079 |
8.05 | 2.088 |
81 | 2.498 |
815 | 2.098 |
8.2 | 2.104 |
8.25 | 2.11 |
8.8 | 2.116 |
8.33 | 2.119 |
8.35 | 2.122 |
8.4 | 2.128 |
8.45 | 2.134 |
8.5 | 2.14 |
8.55 | 2.146 |
86 | 2.152 |
8.65 | 2.158 |
848 | 2.159 |
8.7 | 2.168 |
875 | 2.169 |
8.8 | 2.175 |
8.85 | 2.18 |
8.9 | 2.186 |
8.95 | 2.192 |
The Hyp. Log of any number not in the table may be found by multiplying a common log. by 2.302585053, usually by 2.3
Assume steam to enter a cylinder at a pressure of 34. lbs. per square inch, and to be cut off at ¼ the length of the stroke of the piston, the stroke being 10 feet; what will be the mean pressure?
10 feet + .5 for clearance=120.5 ins., stroke 10 / 4 + .5 for clearance = 30.5 int.
Then 120.5 / 30.5 =3.95, the relative expantion.
Log. of number 3.95 = 1.374, which + 1 = 2.374.
2.374 X 34.7 / 3.95 = 82.3778 / 3.95 = 20.855 lbs.
When the Relative Expansion or Number falls between two numbers in the Table, proceed as follows: Take the difference between the logs, of the two numbers. Then, as the difference between the numbers is to the difference between these logs., so is the excess of the expansion over the least number, which, added to the least log., will give the log. required.
The expansion is 4.84, the logs, for 4.8 and 4.85 are 1 569 and 1.579, and their difference .01. Hence, as 4*85 ∞ 4.8 = .05: 1.579 ∞ 1.569 = 01 :: 4.84 - 4.8 = 04 : 008, and 1.669 + .008 = 1.677 = the log. required.
 
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