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Steel Designers' Manual - 6th Edition (2003)
1170 Dimensions and properties
UNIVERSAL BEAMS
REDUCED PLASTIC MODULUS UNDER AXIAL LOAD
XIX
Section Plastic Major Axis Reduced Modulus Plastic Minor Axis Reduced Modulus
Designation Modulus
Modulus
Axis
x-x
Lower Values
of n
Change
Formula
Higher Values
of n
Axis
y-y
Lower Values
of n
Change
Formula
Higher Values
of n
At n =
At n =
cm3 K1 K2 K3 K4 cm3 K1 K2 K3 K4
1016 ¥ 305 ¥ 487 # † 23200 23200 32000 0.449 3120 9.31 2800 2800 928 0.501 8880 0.0768
1016 ¥ 305 ¥ 437 # † 20800 20800 28800 0.448 2540 10.2 2470 2470 756 0.495 7910 0.0747
1016 ¥ 305 ¥ 393 # † 18500 18500 25600 0.453 2060 11.3 2170 2170 615 0.496 7120 0.0641
1016 ¥ 305 ¥ 349 # † 16600 16600 23500 0.440 1640 12.7 1940 1940 491 0.478 6190 0.0858
1016 ¥ 305 ¥ 314 # † 14900 14900 20900 0.443 1330 14.0 1710 1710 400 0.478 5570 0.0770
1016 ¥ 305 ¥ 272 # † 12800 12800 18200 0.441 1000 16.1 1470 1470 304 0.471 4860 0.0720
1016 ¥ 305 ¥ 249 # † 11400 11400 15200 0.483 837 17.6 1250 1250 256 0.510 4830 -0.0158
1016 ¥ 305 ¥ 222 # † 9810 9810 12500 0.525 667 19.6 1020 1020 206 0.549 4740 -0.105
914 ¥ 419 ¥ 388 # 17700 17700 28500 0.367 1450 14.7 3340 3340 663 0.399 8340 0.246
914 ¥ 419 ¥ 343 # 15500 15500 24600 0.376 1140 16.5 2890 2890 524 0.405 7470 0.225
914 ¥ 305 ¥ 289 # 12600 12600 17400 0.457 1100 14.5 1600 1600 366 0.491 5300 0.0695
914 ¥ 305 ¥ 253 # 10900 10900 15100 0.462 853 16.4 1370 1370 284 0.492 4670 0.0561
914 ¥ 305 ¥ 224 # 9540 9540 12800 0.480 671 18.4 1160 1160 224 0.507 4270 0.0178
914 ¥ 305 ¥ 201 # 8350 8350 10800 0.509 540 20.4 982 982 181 0.533 4050 -0.0424
838 ¥ 292 ¥ 226 # 9160 9160 12900 0.445 709 16.3 1210 1210 245 0.475 3880 0.0915
838 ¥ 292 ¥ 194 # 7640 7640 10400 0.475 521 18.9 974 974 181 0.501 3510 0.0283
838 ¥ 292 ¥ 176 # 6810 6810 8960 0.498 430 20.7 842 842 150 0.522 3340 -0.0208
762 ¥ 267 ¥ 197 7170 7170 10100 0.448 586 15.5 959 959 204 0.479 3090 0.0863
762 ¥ 267 ¥ 173 6200 6200 8490 0.467 455 17.4 807 807 159 0.495 2810 0.0457
762 ¥ 267 ¥ 147 5160 5160 6840 0.492 330 20.4 647 647 116 0.516 2500 -0.00820
762 ¥ 267 ¥ 134 4640 4640 6060 0.506 275 22.2 570 570 97.0 0.528 2350 -0.0390
686 ¥ 254 ¥ 170 5630 5630 8110 0.432 459 15.3 811 811 170 0.463 2480 0.118
686 ¥ 254 ¥ 152 5000 5000 7130 0.439 370 17.0 710 710 137 0.468 2240 0.102
686 ¥ 254 ¥ 140 4560 4560 6420 0.449 314 18.4 638 638 116 0.475 2100 0.0806
686 ¥ 254 ¥ 125 3990 3990 5440 0.474 251 20.5 542 542 93.8 0.497 1960 0.0280
610 ¥ 305 ¥ 238 7490 7490 12500 0.348 739 12.1 1570 1570 362 0.386 3660 0.289
610 ¥ 305 ¥ 179 5550 5550 9220 0.354 423 15.7 1140 1140 210 0.383 2760 0.271
610 ¥ 305 ¥ 149 4590 4590 7650 0.356 296 18.6 937 937 147 0.380 2290 0.264
610 ¥ 229 ¥ 140 4140 4140 6060 0.421 345 14.9 611 611 129 0.454 1800 0.142
610 ¥ 229 ¥ 125 3680 3680 5330 0.428 277 16.6 535 535 104 0.457 1620 0.127
610 ¥ 229 ¥ 113 3280 3280 4670 0.442 227 18.3 469 469 85.3 0.469 1500 0.0970
610 ¥ 229 ¥ 101 2880 2880 3960 0.467 183 20.3 400 400 69.0 0.491 1400 0.0451
533 ¥ 210 ¥ 122 3200 3200 4750 0.410 285 13.8 500 500 111 0.445 1420 0.162
533 ¥ 210 ¥ 109 2830 2830 4160 0.419 229 15.4 436 436 89.4 0.451 1280 0.142
533 ¥ 210 ¥ 101 2610 2610 3830 0.421 197 16.5 399 399 77.1 0.450 1190 0.136
533 ¥ 210 ¥ 92 2360 2360 3410 0.432 165 18.0 356 356 64.6 0.459 1100 0.113
533 ¥ 210 ¥ 82 2060 2060 2850 0.460 131 20.1 300 300 51.9 0.484 1040 0.0531
† Section is not given in BS 4-1: 1993.
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n = F/(A py), where F is the factored axial load, A is the gross cross sectional area and py is the design strength of the section.
For lower values of n, the reduced plastic modulus, Sr = K1 - K2.n 2 , for both major and minor axis bending.
For higher values of n, the reduced plastic modulus, Sr = K3(1 - n)(K4 + n), for both major and minor axis bending.