Table [1]
Showing the Expansion of Beds of Granite variously heated, from One Degree to One Hundred Degrees Fahrenheit, and from One to Five Hundred Miles thick.
Miles. |
One Degree. |
Twenty Degrees. |
Fifty Degrees. |
One Hundred Degrees. |
|
Feet. |
Feet. |
Feet. |
Feet. I |
1 |
.02548 |
.5095 |
1.274 |
2.548 |
5 |
.13 |
2.55 |
6.37 |
12.74 |
10 |
.25 |
5.10 |
12.74 |
25.48 |
15 |
.38 |
7'64 |
19.11 |
38.21 |
20 |
.51 |
10.19 |
25.48 |
50.95 i |
25 |
.64 |
12.74 |
31.85 |
63.C9 |
30 |
.76 |
15.29 |
38.2J |
76.43 |
35 |
.89 |
17.83 |
44.58 |
89.17 |
40 |
1.02 |
20.38 |
50.95 |
101.90 |
45 |
1.15 |
22.93 |
57.32 |
114.64 |
50 |
1.27 |
25.48 |
63.69 |
127.38 |
55 |
1.40 |
28.02 |
70.06 |
140.12 |
60 |
1.53 |
30'57 |
76.43 |
152.86 |
65 |
1.66 |
33.12 |
82.80 |
165.59 |
70 |
1.78 |
35.67 |
89.17 |
178.33 |
75 |
1.91 |
38.21 |
95.5 |
191.07 |
80 |
2.04 |
40.76 |
101.90 |
203.81 |
85 |
2.17 |
43.31 |
108.27 |
216.55 |
90 |
2.29 |
45.86 |
114.64 |
229.28 |
95 |
2.42 |
48.40 |
121.01 |
242.02 |
100 |
2.55 |
50.95 |
127.38 |
254.76 |
150 |
3.82 |
76.43 |
191.07 |
382.14 |
200 |
5.10 |
101.90 |
254.76 |
509.52 |
500 |
12.74. |
254.76 |
636.90 |
1273.80 |
[221/222]
Table [2]
Showing the Expansion of Beds of Granite variously heated, from Two Hundred Degrees to Three Thousand Degrees Fahrenheit, and from One to Five Hundred Miles thick.
Miles. |
Two Hundred Degrees. |
Five Hundred Degrees |
One Thousand Degrees |
Three Thousand Degrees. |
|
Feet. |
Feel. |
Feet. |
Feet. |
1 |
5.095 |
12.738 |
25.476 |
76.428 |
5 |
25.5 |
63.7 |
127.4 |
382.1 |
10 |
51.0 |
127.4 |
254.8 |
764.3 |
15 |
76.4 |
191.1 |
382.1 |
1147.4 |
20 |
101.9 |
254.8 |
509.5 |
1528.6 |
25 |
127.4 |
318.5 |
636.9 |
1910.7 |
30 |
152.9 |
382.1 |
764.3 |
2292.8 |
35 |
178.3 |
445.8 |
891.7 |
2675.0 |
40 |
203.8 |
509.5 |
1019.0 |
3057.1 |
45 |
229.3 |
573.2 |
1146.4 |
3439.3 |
50 |
254.8 |
636.9 |
1273.8 |
3821.4 |
55 |
280.2 |
700.6 |
1401.2 |
4203.5 |
60 |
305.7 |
764.3 |
1528.6 |
4585.7 |
65 |
331.2 |
828.0 |
1655.9 |
4967.8 |
70 |
356.7 |
891.7 |
1783.3 |
5350.0 |
75 |
382.1 |
955.4 |
1910.7 |
5732.1 |
80 |
407.6 |
1019.0 |
2038.1 |
6114.2 |
85 |
433.1 |
1082.7 |
2165.5 |
6496.4 |
90 |
458.6 |
1146.4 |
2292.8 |
6878.5 |
95 |
484.0 |
1210.1 |
2420.2 |
7260.7 |
100 |
509.5 |
1273.8 |
2547.6 |
7642.8 |
150 |
764.3 |
1910.7 |
3821.4 |
11464.2 |
200 |
1019.0 |
2547.6 |
5095.2 |
15285.6 |
500 |
2547.5 |
6369.0 |
12738.0 |
38214.0 |
The table was calculated from experiments made under the direction of Colonel Totten, by Mr. H. C. Bartlett, of the United States Engineers; an account of which is given in the American Journal of Science, Vol. XXII. p. 136.
From the result of these experiments it was found that, for every degree of Fahrenheit,
Granite expands ..........000004825
Marble.........................000005668
Sandstone ....................000009532
The tables were computed by the Calculating Engine, from the first line, which was deduced from the experiment. It will be observed that the numbers given are always true to the last figure, a compensation which the Engine itself made. In order to find the expansion for marble, increase the numbers by one-sixth. To find the expansion for sandstone, double the numbers found in the table.
Other experiments have since been made by Mr. Adie, of which an account is given in the thirteenth volume of the Transactions of the Royal Society of Edinburgh: from these I have selected the following list of expansions: —
Roman Cement expands ......... .00000750
Sicilian White Marble ...............00000613
Carrara Marble ...................... .00000363 [223/224]
Sandstone, from Craigleith quarry.......00000652
Slate, from Penrhyn, Wales ....... .00000576
Peterhead Red Granite............... .00000498
Arbroath Pavement.....................00000499
Caithness Pavement.....................00000497
Greenstone, from Ratho ..............00000449
Aberdeen Grey Granite ...............00000438
Best Stock Brick ..........................00000306
Fire Brick.....................................00000274
Black Marble, Galway .................00000247 [224/225]
14 December 2008