This section is from the "Architectural Iron And Steel, And Its Application In The Construction Of Buildings" book, by WM. H. Birkmire.. Also see Amazon: Architectural Iron And Steel, And Its Application In The Construction Of Buildings.
When the ends of beams rest upon walls, cast or wrought iron bed plates should be used to distribute the pressure over a greater surface. For buildings stone beds are generally used, but when the pressure is great both plates and stone. Beams have seldom less than 8 inches bearing or more than 12 inches; if less than 8 feet long, 6 inches will be sufficient.
The pressure per square foot for brickwork should not exceed six tons, and for stone twelve to twenty tons, according to its character.
The following sizes of knees are commonly used for beam connections:
24" into | 24" beam = | 6 X 4 X 1/2" | angles, 20" | long; |
20" " | 20" " = | 6 X 4 X 1/2" | " 16" | " |
15" " | 15" " = | 6X4X1/2" | " 11" | " |
12" " | 12" " = | 6 X 4 X 1/2 | " 8" | " |
10 1/2" " | 10 1/2" " = | 6 X 4 X 7/16" | " 6 1/2" | " |
10" into | 10" beam | = 6 X 4 X 7/16" | angles, 6" | long; |
9" " | 9" " | = 6X4X7/16" | " 5" | |
8" " | 8" " | = 5 X 3 1/2 X 3/8" | " 4 1/2" | " |
7" " | 7" " | = 5 X 3 1/2 X 3/8" | " 3 1/2" | " |
6" " | 6" " | = 5 X 3 1/2 X 3/8" | " 3" | " |
5" " | 5" " | = 5 X 3 1/2 X 3/8" | " 2 1/2" | " |
4" " | 4" " | = 3 1/2 X 3 1/2 X 3/8" | " 2 1/4" | " |
The number of bolts and rivets is determined by shearing and bearing strain. See article on "Bolts and Rivets".
The following table gives:
Maximum Strain 12,000 Pounds per Square Inch.
Size of T. | Weight per yard. | Coefficient for Transverse Strain. | Distance between Supports, in feet. | ||||||||||
4 | 5 | 6 | 7 | 8 | 9 | I0 | 11 | 12 | |||||
flange | stem | th'kness | lbs. | ||||||||||
5 | X3" | X1/2" | 38.1 | 7480 | 1870 | 1500 | 1250 | 1070 | 940 | 830 | 750 | 680 | 620 |
4 1/2 | X3 1/2 | x11/16 | 46.5 | 6010 | 1502 | I200 | IOOO | 860 | 750 | 670 | 600 | 550 | 500 |
4 | X5 | X 1/2 | 45.6 | 24,800 | 6200 | 4960 | 4130 | 3540 | 3I00 | ,2770 | 2480 | 2250 | 2070 |
4 | X4 1/2 | X1/2 | 42.9 | 20,400 | 5100 | 4080 | 3400 | 2910 | 2550 | 2270 | 2040 | 1860 | 1700 |
4 | X4 | X1/2 | 37.5 | I5,800 | 3950 | 3l60 | 2633 | 2257 | 1975 | 1755 | 1580 | 1435 | 1325 |
4 | X3 | XI | 27.3 | 7070 | 1705 | 1414 | 1178 | IOIO | 884 | 785 | 707 | 634 | 589 |
3 1/2 | X3 1/2 | x1/2 | 27.O | 9530 | 2382 | 1900 | 1590 | 1360 | II90 | IO60 | 950 | 870 | 790 |
3 1/2 | X4 | X3/8 | 29.1 | 12,380 | 3095 | 2476 | 2064 | 1770 | I550 | 1380 | 1240 | 1130 | 1030 |
3 1/2 | X3 | x1/2 | 22.5 | 5790 | 1418 | 1l60 | 970 | 830 | 720 | 640 | 580 | 530 | 480 |
3 | X4 | x1/2 | 34.8 | 15,480 | 387O | 3I00 | 2580 | 2210 | 1940 | 1720 | I550 | 1410 | 1290 |
3 | X3 1/2 | x1/2 | 32.1 | 11,910 | 2975 | 2380 | 1990 | 1700 | 1490 | 1320 | 1190 | 1080 | 990 |
3 | X3 | x 5/16 | 19.5 | 5900 | 1475 | Il80 | 980 | 840 | 740 | 650 | 590 | 540 | 490 |
3 | X 2 1/2 | X5/16 | 18.0 | 4100 | I025 | 820 | 680 | 590 | 5IO | 460 | 410 | 370 | 340 |
3 | X 2 | x 5/16 | 14.6 | 2540 | 637 | 508 | 423 | 363 | 317 | 283 | 254 | 231 | 212 |
2 1/2 | X2 1/2 | x 5/16 | 16.2 | 4000 | I000 | 800 | 670 | 570 | 500 | 440 | 400 | 360 | 330 |
2 1/2 | X3 | x5/16 | 18.0 | 6110 | 1527 | I220 | 1020 | 870 | 760 | 680 | 610 | 560 | 510 |
2 1/4 | X 2 1/2 | X9/32 | 11.90 | 2811 | 703 | 560 | 469 | 402 | 352 | 312 | 281 | 254 | 234 |
2 | X 2 | x1/4 | 9.4 | I970 | 493 | 394 | 328 | 282 | 246 | 218 | 197 | 179 | 164 |
1 3/4 | X 1 3/4 | x1/4 | 9.0 | 1550 | 39° | 310 | 260 | 220 | 190 | 170 | 155 | 140 | 130 |
1 1/2 | X 1 1/2 | x1/4 | 6.68 | 1033 | 258 | 207 | 172 | 147 | 129 | 115 | 103 | 94 | 86 |
I 1/4 | XI 1/4 | x7/32 | 4.87 | 596 | 149 | 119 | 98 | 85 | 75 | 66 | 59 | 54 | 49 |
I | X I | x5/32 | 2.80 | 268 | 67 | 53 | 45 | 38 | 36 | 29 | 26 | 24 | 22 |
The following table gives:
Maximum Strain 12,000 Pounds per Square Inch.
Size of Angle. | Weight yard. | Coefficient for Transverse Strength. | Distance between Supports, in feet. | ||||||||
4 | 5 | 6 | 7 | 8 | 9 | 10 | XX | 12 | |||
inches. | lbs. | ||||||||||
6 X6 X7/16 | 50.6 | 32,560 | 8140 | 6510 | 5430 | 4650 | 4070 | 3620 | 3260 | 2960 | 2715 |
6 X6 X1/2 | 57.5 | 36,900 | 9225 | 7400 | 6150 | 5270 | 4612 | 4100 | 3690 | 3354 | 3075 |
5X5X 3/5 | 36.0 | 19,360 | 4840 | 3870 | 3230 | 2770 | 2420 | 2150 | 1940 | 1760 | 1618 |
4 1/2 X 4 1/2 X A | 37.5 | 18,000 | 4500 | 3600 | 3000 | 2571 | 2250 | 2000 | 1800 | 1633 | 1500 |
4 X4 XI | 28.6 | 12,184 | 3046 | 2437 | 2031 | 1740 | 1523 | 1354 | 1218 | 1107 | 1015 |
3 1/2 X 3 1/2 X 3/8 | 24.8 | 9200 | 2300 | 1840 | 1530 | 1310 | 1150 | I020 | 920 | 840 | 770 |
3 X3 X 1/4 | 14.4 | 4611 | "53 | 922 | 767 | 658 | 576 | 512 | 461 | 419 | 384 |
2 5/4 X 2 3/4 X 5/16 | 16.2 | 4710 | 1177 | 942 | 785 | 672 | 589 | 522 | 471 | 428 | 393 |
2 1/2 X 2 1/2 X 1/4 | 11.9 | 3156 | 789 | 631 | 526 | 45T | 394 | 344 | 317 | 287 | 263 |
2 1/4 X 2 1/4 X 1/4 | 10.6 | 2530 | 633 | 506 | 422 | 362 | 316 | 281 | 253 | 230 | 211 |
2 X 2 x 7/32 | 8.3 | 1752 | 438 | 350 | 292 | 250 | 219 | 195 | 175 | 159 | 146 |
1 3/4 x 1 3/4 x 3/16 | 6.21 | II50 | 287 | 230 | I92 | 164 | 144 | 128 | "5 | 104 | 96 |
1 1/2 x 1 1/2 x 3/16 | 5.27 | 832 | 208 | 164 | 139 | 119 | 104 | 92 | 83 | 76 | 69 |
1 1/4 X 1 1/4 X 1/8 | 2.97 | 393 | 98 | 78 | 65 | 56 | 49 | 44 | 39 | 36 | 33 |
Maximum Strain 12,000 Pounds per Square Inch.
Size of Angle. | Weight per yard. | Coefficient for Transverse Strength. | Distance between Supports, in feet. | ||||||||
4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |||
inches. | lbs. | ||||||||||
6 X4 X 7/16 | 41.8 | 30,680 | 7670 | 6136 | 5113 | 4383 | 3834 | 3409 | 3068 | 2789 | 2556 |
6 X4 X3/8 | 36.1 | 26,560 | 6640 | 53IO | 4430 | 3790 | 3320 | 2950 | 2660 | 2410 | 22I0 |
6 X 3 1/2 X 3/8 | 34.2 | 26,000 | 6500 | 5200 | 4330 | 3710 | 3250 | 2890 | 2600 | 2360 | 2I70 |
5 X4 X3/8 | 32.3 | 18,720 | 4680 | 3740 | 3I20 | 2670 | 2340 | 2080 | 1870 | 1700 | I560 |
5 X3 1/2X 3/8 | 30.5 | 18,353 | 4590 | 3671 | 3059 | 2622 | 2294 | 2038 | 1835 | 1668 | 1528 |
5 X3 X 3/8 | 28.6 | 17,840 | 4460 | 3570 | 2970 | 2550 | 2230 | 1980 | 1784 | 1620 | I490 |
4 1/2X3 X3/8 | 26.7 | 14,580 | 3645 | 2916 | 2430 | 2083 | 1823 | 1620 | 1458 | 1325 | I217 |
4 X3 1/2X 3/8 | 26.7 | I2,000 | 3000 | 2400 | 2000 | 1710 | 1500 | I330 | I200 | I090 | 1000 |
4 X3 X5/16 | 20.9 | 9850 | 2462 | 1970 | 1641 | 1407 | 1231 | I094 | 985 | 895 | 821 |
3 1/2X3 X5/16 | 19.3 | 7680 | 1920 | I540 | 1280 | 1100 | 960 | 850 | 770 | 700 | 640 |
3 1/2 X 2 1/2 X 1/4 | 14.4 | 6000 | I500 | I200 | 10000 | 860 | 750 | 670 | 600 | 540 | 500 |
3 X 2 1/2 X 1/4 | I3.I | 4480 | 1120 | 900 | 750 | 640 | 560 | 500 | 450 | 410 | 370 |
3 X2 X1/4 | II.9 | 4320 | 1080 | 860 | 720 | 620 | 540 | 480 | 430 | 390 | 360 |
2 1/2X2 x3/16 | 8.1 | 2320 | 580 | 460 | 390 | 330 | 290 | 260 | 230 | 210 | 190 |
(a) For a beam fixed at one end and loaded at the other as a cantilever, coefficient/8L. Safe load in lbs. =
(6) For a beam fixed at one end and uniformly loaded, coefficient/4L Safe load in lbs. =
(c) For a beam supported at both ends, load concentrated at any point,
Safe load in lbs. =(coefficient/L)x (L2/(8AxB)
A = distance from load to one support; B = distance from load to the other support.
Note. - The beams, channels and other shapes treated of in this chapter are selezcted from the hand-books of the Passaic Rolling Mill Co., Phoenix Iron Co., Columbia Iron and Steel Co., and Pottsville Iron and Steel Co.
 
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