Research Article
Elastic Web Buckling Stress and Ultimate Strength of H-Section Beams Dominated by Web Buckling
| Number | L (mm) | D (mm) | B (mm) | (mm) | tf (mm) | swy (MPa) | sfy (MPa) | (b/tf)eq | | τmax (test) | Load (M. stands for monotonic load; C. stands for cyclic load) |
| Reported by Fukuchi and Ogura [15] | 1 | 1000 | 223.4 | 269.6 | 5.8 | 8.8 | 297 | 270 | 0.594 | 0.305 | 1.08 | M. | 2 | 1000 | 223.7 | 269.5 | 5.6 | 8.9 | 297 | 270 | 0.591 | 0.323 | 1.07 | C. | 3 | 1000 | 223.3 | 269.6 | 5.7 | 8.9 | 297 | 270 | 0.589 | 0.314 | 1.08 | C. | 4 | 1000 | 223.6 | 269.5 | 5.8 | 8.9 | 297 | 270 | 0.588 | 0.307 | 1.08 | C. | 5 | 1000 | 223.4 | 270 | 5.8 | 8.8 | 297 | 270 | 0.595 | 0.306 | 1.07 | C. | 6 | 1000 | 223.4 | 288.1 | 8.8 | 12 | 322 | 262 | 0.451 | 0.190 | 1.24 | M. | 7 | 1000 | 224.2 | 287.8 | 8.8 | 12 | 322 | 262 | 0.451 | 0.191 | 1.22 | C. | 8 | 1000 | 223.9 | 287.8 | 8.9 | 12.1 | 322 | 262 | 0.447 | 0.188 | 1.19 | C. | 9 | 1000 | 224.3 | 287.7 | 8.9 | 11.9 | 270 | 257 | 0.446 | 0.184 | 1.17 | C. | 10 | 1000 | 224.5 | 287.8 | 8.9 | 11.9 | 270 | 257 | 0.447 | 0.184 | 1.21 | C. | 11 | 1000 | 222.7 | 240.6 | 8.8 | 11.9 | 322 | 262 | 0.387 | 0.177 | 1.4 | M. | 12 | 1000 | 222.7 | 240.6 | 8.8 | 11.9 | 322 | 262 | 0.387 | 0.177 | 1.26 | C. | 13 | 1000 | 223.7 | 240.1 | 9.1 | 12.1 | 322 | 262 | 0.380 | 0.170 | 1.26 | C. | 14 | 1000 | 225.1 | 239.6 | 8.9 | 12 | 270 | 257 | 0.376 | 0.173 | 1.29 | C. | 15 | 1000 | 223.8 | 240 | 8.8 | 11.9 | 270 | 257 | 0.379 | 0.174 | 1.34 | C. | 16 | 1000 | 222.7 | 192.7 | 8.9 | 12 | 322 | 262 | 0.318 | 0.162 | 1.47 | M. | 17 | 1000 | 224.5 | 191.7 | 9.1 | 11.9 | 322 | 262 | 0.319 | 0.158 | 1.31 | C. | 18 | 1000 | 223.8 | 190.8 | 8.8 | 11.7 | 322 | 262 | 0.324 | 0.164 | 1.34 | C. | 19 | 1000 | 224 | 191.9 | 8.7 | 12 | 270 | 257 | 0.312 | 0.164 | 1.39 | C. | 20 | 1000 | 225.2 | 192.1 | 8.9 | 11.9 | 270 | 257 | 0.313 | 0.160 | 1.43 | C. |
| Reported by Kato et.al. [16] | 21 | 1040 | 198 | 144 | 6 | 9 | 291 | 291 | 0.349 | 0.211 | 1.36 | M. | 22 | 1040 | 318 | 144 | 6 | 9 | 291 | 291 | 0.421 | 0.351 | 1.3 | M. | 23 | 1040 | 438 | 144 | 6 | 9 | 291 | 291 | 0.510 | 0.490 | 1.19 | M. | 24 | 1300 | 198 | 180 | 6 | 9 | 291 | 291 | 0.416 | 0.211 | 1.23 | M. | 25 | 1300 | 318 | 180 | 6 | 9 | 291 | 291 | 0.478 | 0.351 | 1.22 | M. | 26 | 2600 | 318 | 180 | 6 | 9 | 291 | 291 | 0.478 | 0.313 | 1.17 | M. | 27 | 1300 | 438 | 180 | 6 | 9 | 291 | 291 | 0.558 | 0.491 | 1.1 | M. | 28 | 1570 | 198 | 216 | 6 | 9 | 291 | 291 | 0.485 | 0.211 | 1.16 | M. | 29 | 3130 | 198 | 216 | 6 | 9 | 291 | 291 | 0.485 | 0.191 | 1.03 | M. | 30 | 1570 | 318 | 216 | 6 | 9 | 291 | 291 | 0.539 | 0.351 | 1.1 | M. | 31 | 3130 | 318 | 216 | 6 | 9 | 291 | 291 | 0.539 | 0.314 | 1.07 | M. | 32 | 1830 | 198 | 252 | 6 | 9 | 291 | 291 | 0.556 | 0.211 | 1.06 | M. | 33 | 1830 | 318 | 252 | 6 | 9 | 291 | 291 | 0.604 | 0.351 | 1.08 | M. | 34 | 2090 | 198 | 288 | 6 | 9 | 291 | 291 | 0.628 | 0.211 | 1.0 | M. | 35 | 2090 | 318 | 288 | 6 | 9 | 291 | 291 | 0.671 | 0.351 | 1.05 | M. | 36 | 1040 | 198 | 144 | 6 | 9 | 523 | 523 | 0.468 | 0.283 | 1.2 | M. | 37 | 1040 | 318 | 144 | 6 | 9 | 523 | 523 | 0.565 | 0.470 | 1.07 | M. | 38 | 1300 | 198 | 180 | 6 | 9 | 523 | 523 | 0.558 | 0.283 | 1.05 | M. | 39 | 2600 | 198 | 180 | 6 | 9 | 523 | 523 | 0.558 | 0.255 | 0.99 | M. | 40 | 1300 | 318 | 180 | 6 | 9 | 523 | 523 | 0.641 | 0.471 | 1.04 | M. | 41 | 2600 | 318 | 180 | 6 | 9 | 523 | 523 | 0.641 | 0.420 | 1.0 | M. | 42 | 1570 | 198 | 216 | 6 | 9 | 523 | 523 | 0.651 | 0.283 | 0.98 | M. | 43 | 1570 | 318 | 216 | 6 | 9 | 523 | 523 | 0.723 | 0.470 | 0.98 | M. |
| Reported by Suzuki et al. [17, 24, 26–28] | 44 | 900 | 300 | 125 | 3.2 | 9 | 274 | 268 | 0.562 | 0.739 | 1.09 | M. | 45 | 900 | 300 | 125 | 6 | 9 | 297 | 268 | 0.376 | 0.321 | 1.43 | M. | 46 | 1200 | 300 | 125 | 3.2 | 9 | 274 | 268 | 0.562 | 0.663 | 1.15 | M. | 47 | 1200 | 300 | 125 | 4.5 | 9 | 286 | 268 | 0.443 | 0.426 | 1.29 | M. | 48 | 1200 | 300 | 125 | 6 | 9 | 297 | 268 | 0.376 | 0.300 | 1.28 | M. | 49 | 1200 | 300 | 125 | 9 | 9 | 268 | 268 | 0.307 | 0.185 | 1.3 | M. | 50 | 1500 | 300 | 125 | 3.2 | 9 | 274 | 268 | 0.562 | 0.616 | 1.09 | M. | 51 | 1500 | 300 | 125 | 6 | 9 | 297 | 268 | 0.376 | 0.289 | 1.23 | M. | 52 | 1400 | 450 | 125 | 4.5 | 9 | 516 | 268 | 0.793 | 0.700 | 0.93 | M. | 53 | 1400 | 450 | 125 | 4.5 | 12 | 516 | 259 | 0.764 | 0.724 | 0.96 | M. | 54 | 1400 | 450 | 125 | 4.5 | 15 | 516 | 268 | 0.747 | 0.765 | 0.98 | M. | 55 | 1250 | 250 | 125 | 5.8 | 8.5 | 395 | 374 | 0.418 | 0.298 | 1.22 | M. | 56 | 1950 | 250 | 125 | 5.6 | 8.3 | 395 | 374 | 0.430 | 0.295 | 1.18 | M. | 57 | 1200 | 300 | 100 | 9 | 9 | 384 | 384 | 0.321 | 0.216 | 1.41 | C. | 58 | 2100 | 350 | 150 | 6 | 16 | 499 | 449 | 0.463 | 0.456 | 1.37 | M. | 59 | 2100 | 350 | 150 | 6 | 12 | 499 | 506 | 0.521 | 0.464 | 1.33 | M. | 60 | 2100 | 350 | 150 | 6 | 9 | 499 | 488 | 0.589 | 0.448 | 1.3 | M. | 61 | 2400 | 400 | 150 | 6 | 16 | 499 | 449 | 0.521 | 0.513 | 1.33 | M. | 62 | 2400 | 400 | 150 | 6 | 12 | 499 | 506 | 0.574 | 0.524 | 1.3 | M. | 63 | 1800 | 450 | 200 | 6 | 12 | 415 | 368 | 0.611 | 0.579 | 1.06 | M. | 64 | 1800 | 450 | 200 | 6 | 16 | 415 | 377 | 0.558 | 0.628 | 1.14 | M. | 65 | 1800 | 450 | 200 | 6 | 19 | 415 | 375 | 0.532 | 0.658 | 1.16 | M. | 66 | 1800 | 450 | 200 | 9 | 16 | 383 | 377 | 0.412 | 0.367 | 1.3 | M. | 67 | 1800 | 450 | 150 | 6 | 12 | 415 | 368 | 0.565 | 0.539 | 1.11 | M. | 68 | 2500 | 450 | 200 | 6 | 16 | 415 | 377 | 0.558 | 0.566 | 1.18 | M. | 69 | 1100 | 450 | 150 | 6 | 12 | 415 | 368 | 0.565 | 0.618 | 1.14 | M. | 70 | 1600 | 400 | 150 | 6 | 16 | 398 | 376 | 0.467 | 0.520 | 1.3 | M. | 71 | 1600 | 400 | 200 | 6 | 16 | 398 | 376 | 0.500 | 0.575 | 1.15 | M. | 72 | 1600 | 400 | 150 | 6 | 22 | 398 | 357 | 0.432 | 0.550 | 1.14 | M. | 73 | 1200 | 400 | 200 | 6 | 12 | 398 | 382 | 0.562 | 0.591 | 1.1 | M. | 74 | 1200 | 400 | 200 | 6 | 16 | 398 | 376 | 0.500 | 0.644 | 1.07 | M. |
| Reported by Fujikawa and Fujiwara [18] | 75 | 900 | 241 | 150.2 | 4.48 | 8.6 | 344 | 272 | 0.451 | 0.399 | 1.39 | C. | 76 | 899 | 248 | 150.4 | 4.56 | 12.16 | 344 | 293 | 0.391 | 0.458 | 1.22 | C. | 77 | 1125 | 241 | 149.7 | 4.49 | 9.27 | 344 | 548 | 0.524 | 0.506 | 1.11 | C. | 78 | 1260 | 331 | 149.9 | 4.6 | 8.57 | 344 | 272 | 0.541 | 0.485 | 1.29 | C. | 79 | 1258 | 338 | 150.4 | 4.38 | 12.13 | 344 | 293 | 0.515 | 0.596 | 1.26 | C. | 80 | 1266 | 330 | 150.2 | 4.3 | 9.21 | 344 | 548 | 0.627 | 0.716 | 1.05 | C. | 81 | 450 | 242 | 150.1 | 4.32 | 8.61 | 344 | 272 | 0.460 | 0.532 | 1.16 | C. | 82 | 462 | 247 | 150.5 | 4.33 | 12.18 | 344 | 293 | 0.403 | 0.526 | 1.24 | C. | 83 | 450 | 241 | 150.5 | 4.31 | 9.23 | 344 | 548 | 0.535 | 0.528 | 1.2 | C. | 84 | 629 | 330 | 151 | 4.34 | 8.63 | 344 | 272 | 0.561 | 0.666 | 1.16 | C. | 85 | 630 | 339 | 150.5 | 4.35 | 12.15 | 344 | 293 | 0.519 | 0.739 | 1.06 | C. | 86 | 629 | 332 | 151.7 | 4.37 | 9.28 | 344 | 548 | 0.624 | 0.736 | 1.02 | C. |
| Reported by Fujiwara and Kato [19] | 87 | 1496 | 244 | 151 | 4.5 | 8.99 | 372 | 282 | 0.457 | 0.353 | 1.25 | C. | 88 | 1492 | 250 | 150.4 | 4.5 | 11.99 | 372 | 309 | 0.414 | 0.397 | 1.28 | C. | 89 | 1497 | 244 | 150 | 4.4 | 8.7 | 372 | 368 | 0.501 | 0.402 | 1.3 | C. | 90 | 1499 | 244 | 149.6 | 4.4 | 8.83 | 372 | 547 | 0.556 | 0.479 | 1.08 | C. |
| Reported by Yoda et al. [20] | 91 | 1100 | 270.5 | 108.5 | 4.23 | 5.57 | 306 | 310 | 0.529 | 0.400 | 1.18 | M. | 92 | 1350 | 314.4 | 108.3 | 4.23 | 5.57 | 306 | 310 | 0.574 | 0.455 | 1.15 | M. | 93 | 1600 | 359.7 | 108.8 | 4.23 | 5.57 | 306 | 310 | 0.626 | 0.514 | 1.13 | M. | 94 | 1850 | 405.8 | 108 | 4.23 | 5.57 | 306 | 310 | 0.678 | 0.575 | 1.03 | M. | 95 | 2100 | 449.6 | 108.9 | 4.23 | 5.57 | 306 | 310 | 0.732 | 0.634 | 1.0 | M. | 96 | 2350 | 494.6 | 108.2 | 4.23 | 5.57 | 306 | 310 | 0.786 | 0.696 | 0.91 | M. | 97 | 1400 | 269.6 | 144.3 | 4.23 | 5.57 | 306 | 310 | 0.624 | 0.403 | 1.09 | M. | 98 | 1650 | 315.5 | 143.8 | 4.23 | 5.57 | 306 | 310 | 0.664 | 0.464 | 1.03 | M. | 99 | 1950 | 359.5 | 144.8 | 4.23 | 5.57 | 306 | 310 | 0.709 | 0.522 | 1.03 | M. | 100 | 2250 | 405.1 | 144.3 | 4.23 | 5.57 | 306 | 310 | 0.755 | 0.583 | 1.0 | M. | 101 | 2550 | 449.2 | 144.5 | 4.23 | 5.57 | 306 | 310 | 0.803 | 0.643 | 0.93 | M. | 102 | 2900 | 494.9 | 144.1 | 4.23 | 5.57 | 306 | 310 | 0.854 | 0.706 | 0.93 | M. | 103 | 1550 | 270.4 | 180.3 | 4.23 | 5.57 | 306 | 310 | 0.730 | 0.414 | 0.99 | M. | 104 | 1850 | 315 | 180.3 | 4.23 | 5.57 | 306 | 310 | 0.764 | 0.471 | 0.97 | M. | 105 | 2200 | 360.5 | 179.8 | 4.23 | 5.57 | 306 | 310 | 0.801 | 0.530 | 0.92 | M. | 106 | 2550 | 404.8 | 180.4 | 4.23 | 5.57 | 306 | 310 | 0.844 | 0.590 | 0.87 | M. | 107 | 2850 | 449.2 | 180.9 | 4.23 | 5.57 | 306 | 310 | 0.888 | 0.651 | 0.84 | M. | 108 | 3200 | 494.5 | 180.3 | 4.23 | 5.57 | 306 | 310 | 0.934 | 0.713 | 0.8 | M. | 109 | 1799 | 479.6 | 108.1 | 3.23 | 5.89 | 286 | 309 | 0.917 | 0.907 | 0.92 | M. | 110 | 1849 | 576.4 | 107.9 | 3.23 | 5.89 | 286 | 309 | 1.080 | 1.083 | 0.82 | M. | 111 | 2549 | 479.4 | 144.1 | 3.23 | 5.89 | 286 | 309 | 0.969 | 0.911 | 0.87 | M. | 112 | 2603 | 576 | 143.6 | 3.23 | 5.89 | 286 | 309 | 1.124 | 1.089 | 0.8 | M. | 113 | 3309 | 479.4 | 179.6 | 3.23 | 5.89 | 286 | 309 | 1.031 | 0.916 | 0.86 | M. | 114 | 3448 | 575.8 | 180.2 | 3.23 | 5.89 | 286 | 309 | 1.179 | 1.094 | 0.71 | M. | 115 | 1100 | 269.5 | 108.5 | 4.23 | 5.57 | 306 | 310 | 0.528 | 0.398 | 1.18 | M. | 116 | 1600 | 359.5 | 108.2 | 4.23 | 5.57 | 306 | 310 | 0.624 | 0.513 | 1.14 | M. | 117 | 2101 | 449.3 | 108.1 | 4.23 | 5.57 | 306 | 310 | 0.730 | 0.634 | 1.02 | M. | 118 | 1399 | 270.4 | 144.5 | 4.23 | 5.57 | 306 | 310 | 0.625 | 0.405 | 1.08 | M. | 119 | 1950 | 360.3 | 144 | 4.23 | 5.57 | 306 | 310 | 0.708 | 0.522 | 1.08 | M. | 120 | 2551 | 451.1 | 144 | 4.23 | 5.57 | 306 | 310 | 0.804 | 0.645 | 1.0 | M. | 121 | 1550 | 270.5 | 180.3 | 4.23 | 5.57 | 306 | 310 | 0.730 | 0.414 | 1.08 | M. | 122 | 2199 | 359.6 | 179 | 4.23 | 5.57 | 306 | 310 | 0.798 | 0.529 | 0.96 | M. | 123 | 2850 | 449.5 | 179.5 | 4.23 | 5.57 | 306 | 310 | 0.885 | 0.651 | 0.9 | M. |
| Reported by Konomi et al. [21] | 124 | 1850 | 450 | 200 | 9 | 12 | 290 | 305 | 0.425 | 0.310 | 1.37 | C. | 125 | 1850 | 450 | 200 | 9 | 12 | 290 | 305 | 0.425 | 0.310 | 1.35 | C. | 126 | 1850 | 450 | 200 | 9 | 12 | 290 | 305 | 0.425 | 0.310 | 1.33 | C. |
| Reported by Makishi and Yamamoto et al. [22, 23] | 127 | 1800 | 506 | 201 | 11 | 19 | 367 | 357 | 0.357 | 0.325 | 1.43 | C. | 128 | 1800 | 506 | 201 | 11 | 19 | 367 | 357 | 0.357 | 0.325 | 1.35 | C. | 129 | 1800 | 506 | 201 | 11 | 19 | 367 | 357 | 0.357 | 0.325 | 1.38 | C. | 130 | 1800 | 506 | 201 | 11 | 19 | 367 | 357 | 0.357 | 0.325 | 1.35 | C. |
| Reported by Ito et al. [25] | 131 | 1200 | 300 | 130 | 6 | 12 | 403 | 358 | 0.391 | 0.367 | 1.45 | C. | 132 | 1200 | 300 | 130 | 6 | 12 | 403 | 358 | 0.391 | 0.367 | 1.51 | C. | 133 | 1200 | 300 | 130 | 6 | 12 | 403 | 358 | 0.391 | 0.367 | 1.39 | C. | 134 | 1200 | 300 | 130 | 6 | 12 | 403 | 358 | 0.391 | 0.367 | 1.46 | C. |
| Reported by Minami et al. [29] | 135 | 2150 | 488 | 300 | 11 | 18 | 387 | 387 | 0.457 | 0.342 | 1.56 | C. | 136 | 2150 | 488 | 300 | 11 | 18 | 387 | 387 | 0.457 | 0.342 | 1.55 | C. | 137 | 2150 | 488 | 300 | 11 | 18 | 387 | 387 | 0.457 | 0.342 | 1.42 | C. |
| Reported by Wang et al. [30] | 138 | 1400 | 350 | 175 | 3.2 | 12 | 281 | 306 | 0.653 | 1.006 | 0.73 | C. | 139 | 1400 | 350 | 175 | 4.5 | 12 | 267 | 306 | 0.496 | 0.604 | 1.13 | C. | 140 | 1400 | 350 | 175 | 4.5 | 16 | 267 | 266 | 0.444 | 0.622 | 1.07 | C. | 141 | 1400 | 350 | 175 | 4.5 | 19 | 267 | 257 | 0.423 | 0.666 | 0.96 | C. | 142 | 1400 | 350 | 175 | 6 | 9 | 332 | 291 | 0.505 | 0.384 | 1.15 | C. | 143 | 1400 | 350 | 175 | 6 | 12 | 332 | 306 | 0.443 | 0.417 | 1.21 | C. | 144 | 1400 | 350 | 175 | 6 | 16 | 332 | 266 | 0.387 | 0.423 | 1.26 | C. | 145 | 1400 | 350 | 175 | 9 | 12 | 291 | 306 | 0.353 | 0.245 | 1.32 | C. | 146 | 1050 | 350 | 175 | 4.5 | 12 | 267 | 306 | 0.496 | 0.688 | 0.95 | C. | 147 | 1050 | 350 | 175 | 6 | 12 | 332 | 306 | 0.443 | 0.461 | 1.25 | C. |
| Reported by Kimura [14] | 148 | 1000 | 202 | 150 | 8.2 | 11.9 | 323 | 283 | 0.270 | 0.154 | 1.45 | M. | 149 | 1000 | 202 | 150 | 8.1 | 12.1 | 323 | 283 | 0.267 | 0.157 | 1.67 | C. | 150 | 1000 | 201 | 150 | 8.25 | 12 | 323 | 283 | 0.268 | 0.152 | 1.53 | C. | 151 | 1000 | 201 | 101 | 8.25 | 12 | 323 | 283 | 0.205 | 0.140 | 1.3 | M. | 152 | 1000 | 202 | 100 | 8.25 | 12.1 | 323 | 283 | 0.204 | 0.140 | 1.42 | C. | 153 | 1000 | 201 | 200 | 8.2 | 11.8 | 323 | 283 | 0.342 | 0.167 | 1.26 | M. | 154 | 1000 | 201 | 201 | 8.2 | 11.8 | 323 | 283 | 0.344 | 0.168 | 1.4 | C. | 155 | 800 | 202 | 150 | 8.25 | 12 | 323 | 283 | 0.268 | 0.164 | 1.42 | M. | 156 | 800 | 202 | 150 | 8.25 | 11.9 | 323 | 283 | 0.270 | 0.164 | 1.52 | C. | 157 | 1200 | 201 | 150 | 8.35 | 11.9 | 323 | 283 | 0.269 | 0.143 | 1.41 | M. | 158 | 1200 | 201 | 151 | 8.25 | 12 | 323 | 283 | 0.269 | 0.146 | 1.51 | C. |
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