4. Divide product 2 by product 3, and the result is the number of braces, required for the head.
Table No. 1 gives the total area in square inches. No. 2, areas to be braced. No. 3, number of braces of one inch round iron required, allowing seven thousand five hundred pounds per square inch of section at one hundred pounds steam pressure.
Table No. 3 will be found of more practical use than Table 2, for it gives directly the number of braces required in any given boiler, instead of the area to be braced. It was calculated from Table 2. The iron used in braces will safely stand a continuous pull of 7,500 pounds to the square inch, which is the figure used in computing the foregoing table. A round brace an inch in diameter has a sectional area of .7854 of an inch, and the strain that it will safely withstand is found by multiplying .7854 by 7,500, which gives 5,890 pounds as the safe working strain on a brace of one-inch round iron.
In a 60-inch boiler, whose upper tubes are 28 inches below the shell, the area to be braced is, according to table 2, 930 square inches. If the pressure at which it is to be run is 100 pounds to the square inch, the entire pressure on the area to be braced will be 93,000 pounds, and this is the strain that must be withstood by the braces. As one brace of inch-round iron will safely stand 5,890 pounds, the boiler will need as many braces as 5,890 is contained in 93,000, which is 15.8. That is, 16 braces will be required. The table is made out on the basis of 100 lbs. pressure to the square inch, because that is a very convenient number.
Table No. 1. TOTAL AREA ABOVE TUBES OR FLUES.
(Square Inches.)
| Height from tubes to shell. | DIAMETER OF BOILER IN INCHES. | ||||||
|---|---|---|---|---|---|---|---|
| 36 | 42 | 48 | 54 | 60 | 66 | 72 | |
| 15 | 389 | ||||||
| 16 | 419 | ||||||
| 17 | 458 | 526 | |||||
| 18 | 566 | 620 | 667 | ||||
| 19 | 608 | 667 | 720 | ||||
| 20 | 650 | 714 | 770 | 824 | |||
| 21 | 756 | 824 | 882 | ||||
| 22 | 808 | 878 | 937 | ||||
| 23 | 930 | 996 | 1059 | ||||
| 24 | 982 | 1056 | 1121 | ||||
| 25 | 1037 | 1116 | 1184 | ||||
| 26 | 1090 | 1209 | 1252 | 1324 | |||
| 27 | 1145 | 1234 | 1316 | 1394 | |||
| 28 | 1291 | 1381 | 1465 | ||||
| 29 | 1352 | 1445 | 1536 | ||||
| 30 | 1414 | 1511 | 1608 | ||||
| 31 | 1576 | 1674 | |||||
| 32 | 1641 | 1746 | |||||
| 33 | 1818 | ||||||
| 34 | 1896 | ||||||
Table 2. AREAS TO BE BRACED. (Square Inches.)
| Height from tubes to shell. | DIAMETER OF BOILER IN INCHES. | ||||||
|---|---|---|---|---|---|---|---|
| 36 | 42 | 48 | 54 | 60 | 66 | 72 | |
| 15 | 206 | ||||||
| 16 | 235 | ||||||
| 17 | 264 | 297 | |||||
| 18 | 331 | 365 | 396 | ||||
| 19 | 316 | 404 | 439 | ||||
| 20 | 401 | 444 | 483 | 519 | |||
| 21 | 485 | 528 | 568 | ||||
| 22 | 526 | 574 | 618 | ||||
| 23 | 620 | 668 | 714 | ||||
| 24 | 667 | 720 | 769 | ||||
| 25 | 714 | 772 | 825 | ||||
| 26 | 761 | 824 | 882 | 937 | |||
| 27 | 809 | 877 | 940 | 998 | |||
| 28 | 930 | 998 | 1061 | ||||
| 29 | 983 | 1056 | 1124 | ||||
| 30 | 1037 | 1115 | 1187 | ||||
| 31 | 1174 | 1252 | |||||
| 32 | 1234 | 1317 | |||||
| 33 | 1382 | ||||||
| 34 | 1447 | ||||||