A New Approach for Free Vibration Analysis of Thin-Walled Box Girder Considering Shear Lag Effect

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="13"><hr/></td></tr><tr class="thead"><td class="align_left">Structural dimensions</td><td class="align_center"><i>L</i><sub>1</sub> (m)</td><td class="align_center"><i>L</i><sub>2</sub> (m)</td><td class="align_center"><i>t</i> (mm)</td><td class="align_center"><i>t</i><sub>1</sub> (mm)</td><td class="align_center"><i>t</i><sub>2</sub> (mm)</td><td class="align_center"><i>a</i> (mm)</td><td class="align_center"><i>f</i> (mm)</td><td class="align_center"><i>k</i> (mm)</td><td class="align_center"><i>h</i> (mm)</td><td class="align_center"><svg height="8.57479pt" id="M100" style="vertical-align:-0.04981041pt" version="1.1" viewbox="-0.0498162 -8.52498 7.51132 8.57479" width="7.51132pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M517 162C503 123 484 88 467 68C445 42 417 34 341 34C291 34 256 34 237 47C219 59 213 81 213 128V317H308C395 317 402 311 415 240H444V431H415C403 364 398 356 307 356H213V584C213 613 215 616 246 616H322C394 616 421 609 435 587C448 566 458 544 467 502L496 506C493 557 488 625 488 650H42V622C120 616 128 612 128 523V125C128 43 120 35 29 28V0H511C520 31 540 125 546 158L517 162Z"></path></g></svg> (MPa)</td><td class="align_center"><svg height="8.98583pt" id="M101" style="vertical-align:-0.2324905pt" version="1.1" viewbox="-0.0498162 -8.75334 9.4295 8.98583" width="9.4295pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M692 302H438V274C537 267 543 260 543 188V103C543 61 531 48 511 37C489 26 458 20 424 20C231 20 146 188 146 333C146 517 258 630 411 630C507 630 582 597 606 474L634 480C627 546 622 601 619 636C586 643 510 665 426 665C230 665 44 552 44 321C44 122 191 -15 411 -15C491 -15 573 7 635 21C629 49 628 81 628 116V202C628 261 632 266 692 274V302Z"></path></g></svg> (MPa)</td><td class="align_center"><svg height="9.39034pt" id="M102" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.13289 9.39034" width="7.13289pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M516 277C516 378 460 448 376 448C335 448 288 434 240 401C158 345 127 277 107 159C53 -161 38 -221 23 -247L28 -261C43 -260 95 -250 114 -226C122 -216 129 -199 146 -75C152 -29 157 0 164 31C182 9 206 -12 237 -12C267 -12 325 8 376 46C451 102 516 179 516 277ZM432 259C432 134 366 40 259 40C236 40 204 48 171 76L195 203C219 327 253 400 326 400C398 400 432 336 432 259Z"></path></g></svg> (kg/m<sup>3</sup>)</td></tr><tr><td class="thead-hr" colspan="13"><hr/></td></tr><tr><td class="align_left">Value</td><td class="align_center">30</td><td class="align_center">14.2</td><td class="align_center">250</td><td class="align_center">400</td><td class="align_center">250</td><td class="align_center">7100</td><td class="align_center">7500</td><td class="align_center">3550</td><td class="align_center">2000</td><td class="align_center">35000</td><td class="align_center">15000</td><td class="align_center">2500</td></tr><tr class="table-tr"><td colspan="13"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Structural dimensions and material parameters of the engineering example.</div>

Advances in Civil Engineering

tab3

Table 3

Table 3: A New Approach for Free Vibration Analysis of Thin-Walled Box Girder Considering Shear Lag Effect 