This section is from the book "Elementary Principles Carpentry", by Thomas Tredgold. Also available from Amazon: Elementary Principles Of Carpentry.
Length in feet. | Breadth in inches. | Thickness in inches. | Deflection in inches. | Weight producing the deflection in lbs. | Duration of the experiments in hours. | Weight that broke the piece in lbs. |
2.125 | 2.126 | 2.126 | .0787 | 7,856 | 4 | 15,631 |
.03937 | 13,525 | 6 | 21,296 | |||
.1181 | 14,119 | 18 | 19,993 | |||
.03937 | 11,750 | 8 | 21,060 | |||
4.25 | 2.126 | 2.126 | .0787 | 6,298 | 21 | 11,844 |
.1574 | 6,298 | 27 | 12,225 | |||
.1574 | 6,298 | .. | 13,565 | |||
.1574 | 6,298 | 6 | 12,458 | |||
6.375 | 2.126 | 2.126 | .1574 | 3,277 | 6 | 7,244 |
.1574 | 2,860 | .. | 7,484 | |||
.2361 | 2,750 | 5 | 8,492 | |||
.1574 | 2,750 | .. | 7,878 | |||
2.125 | 3.18 | 3.18 | .0787 | 34,599 | 27 | 50,958 |
.03937 | 45,168 | 24 | 50,958 | |||
4.25 | 3.18 | 3.18 | .1574 | 20,317 | 29 | 43,639 |
.1574 | 18,647 | 5 | 36,865 | |||
.19685 | 20,578 | 9 | 36,205 | |||
.27559 | 21,819 | 17 | 28,182 | |||
6.375 | 318 | 3.18 | .1574 | 9,121 | 7 | 26,939 |
.19685 | 9,713 | 19 | 28,987 | |||
.0787 | 11,000 | 4 | 23,929 | |||
.2361 | 10,142 | 18 | 33,048 | |||
.1574 | 12,746 | 6 | 36,902 | |||
2.125 | 4.25 | 4.25 | .0787 | 61,883 | 11 | 95,262 |
.03937 | 56,691 | 8 | 66,112 | |||
.03937 | 56,693 | 23 | 105,826 | |||
.0787 | 67,467 | 28 | 94,476 | |||
.03937 | 57,780 | 30 | 88,442 | |||
4.25 | 4.25 | 4.25 | .03937 | 63,066 | 8 | 100,755 |
.0787 | 29,695 | 5 | 85,998 | |||
.0787 | 50,525 | 19 | 73,238 | |||
.03937 | 45,201 | 19 | 96.368 | |||
6.375 | 4.25 | 4.25 | .1574 | 21,586 | 7 | 64,090 |
.2361 | 17,331 | 5 | 59,373 | |||
.1574 | 18,517 | 22 | 54,062 | |||
.2361 | 27,599 | 22 | 65,608 |
* Gauthey's . Construction des Pouts,' torn, ii., p. 48.
Specific gravity. | Length in feet. | Breadth in inches. | Thickness in inches. | Deflection in inches. | Weight producing the deflection in lbs. | Duration of the experiments in hours. | Weight that broke the piece in pounds, or Remarks. | |
1 | 1.038 | 8.52 | 6.22 | 5.06 | 0.268 | 38,105 | 0.83 | Recovered its first form. |
3 | 1.010 | 8.52 | 6.22 | 4.00 | 0.09 | 26,381 | 0.83 | Retained a slight flexure. |
4 | 1.000 | 8.52 | 5.24 | 3.9 | 0.445 | 26,384 | 6.66 | Idem. |
5 | .923 | 8.52 | 5.15 | 4.17 | 0.665 | 26,392 | 6.66 | 50,448 |
7 | .973 | 7.46 | 6.22 | 5.06 | Not sensible | 138,098 | 0.83 | |
. . | . . | ... | ... | . . | 0.157 | 50,454 | 2.08 | Recovered its first form. |
8 | .972 | 7.46 | 613 | 4.09 | 0.244 | 38,104 | 12.08 | 72,865 |
9 | .925 | 7.46 | 6.22 | 4.00 | 0.267 | 38,106 | 12.08 | 62,977 |
10 | 1.038 | 7.46 | 4.97 | 4.00 | 0.312 | 26,397 | 10.00 | Retained a slight flexure. |
11 | 1.102 | 6.39 | 6.13 | 5.24 | 0.177 | 38,107 | 7.08 | Idem. |
13 | .987 | 6.39 | 6.22 | 4.00 | 0.177 | 38,106 | 2.08 | Recovered its first form. |
15 | 1.032 | 6.39 | 5.24 | 4.17 | 0.22 | 38,048 | 10.00 | Idem. |
17 | .920 | 7.46 | 6.22 | 4.25 | 0114 | 26,396 | 10.00 | Idem. |
19 | 1.038 | 8.52 | 6.22 | 5.06 | 0.177 | 26,392 | 10.00 | |
20 | .914 | 8.52 | 737 | 6.22 | 0.09 | 26,394 | 10.00 | Recovered its first form. |
21 | .842 | 8.52 | 7.46 | 6.22 | 0.09 | 26,396 | 10.00 |
The numbers in the first column correspond with those of the experiments selected from M. Girard's work. The pillars rested upon a flat surface at the bottom, but turned.with a joint at the top, or were movable there in the direction of the length of the lever. Many of his experiments were made with defective specimens, which are not included, because such pieces should not be employed where they are exposed to much strain. By description and plates representing the most defective specimens, he has rendered it easy to ascertain the cause of many of the irregularities in his experiments. The least deflection only, with the weight that produced it, is given for each piece in the above Table; several other deflections were observed, but the first is the only one that is of use for the purpose of determining the strength of posts or columns. Most of the specimens bent in the direction of the diagonal, consequently they were curved both in the direction of the breadth and thickness. The deflection given above is that in the direction of the thickness, except in one case, which is Experiment 19; where the force cannot have been applied exactly in the direction of the axis. Some of the pieces were broken; in which case the weight that broke them is given. It is to be observed that the weight which broke the specimen, both in Girard's and Lamande's experiments, was about twice that which produced the first deflection. But this is to be attributed more to the method of measurement than to any absolute law, as it has not been found to hold good in the more recent experiments of Hodgkinson and others.
* 'Traite' Analytique de la Resistance des Solides,' Table I.
M. Girard has not described the state of the wood when his trials were made, but it appears from a remark he makes on the 8th experiment, that it had been cut about fifteen months;* consequently it would not be very dry, as might be inferred from the weight of the cube foot given in the third column
* 'Traite Analytique de la Resistance des Solides,' Art. 235.
 
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