Analytical Solution for Lateral-Torsional Buckling of Concrete-Filled Tubular Flange Girders with Torsional Bracing

<table class="table-group" id="tab6"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td class="align_left"> </td><td class="align_center"><i>L/H</i></td><td class="align_center"><i>b</i><sub><i>f</i></sub>/<i>t</i><sub><i>f</i></sub></td><td class="align_center"><span style="width: 6.7023ptpx;"><svg height="9.4556pt" id="M90" style="vertical-align:-0.2063894pt" version="1.1" viewbox="-0.0498162 -9.24921 6.7023 9.4556" width="6.7023pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,1.083,-.222)"><path d="M470 619L451 641C422 610 391 595 348 595C316 595 288 601 248 612C197 628 172 633 138 633C97 633 43 615 0 555L19 532C54 562 86 578 130 578C166 578 189 571 222 562C267 549 301 540 337 540C381 540 434 557 470 619Z"></path></g><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M483 97L471 123C436 91 401 65 392 65C388 65 384 74 390 106C414 239 444 378 457 429L455 433C444 433 429 436 416 439C392 444 368 448 344 448C281 448 204 415 152 376C71 315 23 205 23 103C23 21 57 -12 85 -12C114 -12 149 6 185 34C231 70 285 119 329 183H331L309 81C292 0 308 -12 326 -12C350 -12 421 24 483 97ZM374 387C370 363 356 291 345 261C315 193 181 50 139 50C124 50 110 71 110 118C110 224 153 331 218 379C238 394 271 402 301 402C329 402 359 394 374 387Z"></path></g></svg></span></td><td class="align_center"><i>S</i></td><td class="align_center"><i>K</i></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td class="align_left">Range</td><td class="align_center">8∼30</td><td class="align_center">1.1∼2.7</td><td class="align_center">0.565∼0.666</td><td class="align_center">4</td><td class="align_center">0.05∼0.35</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>The valid applicable ranges of parameters in the formulae.</div>

Advances in Civil Engineering

tab6

Table 6

Table 6: Analytical Solution for Lateral-Torsional Buckling of Concrete-Filled Tubular Flange Girders with Torsional Bracing 