Fatigue Performance Assessment of Composite Arch Bridge Suspenders Based on Actual Vehicle Loads

<table class="table-group" id="tab5"><tr><td><table class="table"><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr class="thead"><td align="left">Headway</td><td align="center">Distribution type</td><td align="center"><span style="width: 7.69399ptpx;"><svg height="6.20645pt" id="M16" style="vertical-align:-0.2063999pt" version="1.1" viewbox="-0.0498162 -6.00005 7.69399 6.20645" width="7.69399pt" 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="M558 106L533 129C501 84 476 67 464 67C446 67 435 116 414 239C457 297 508 367 550 440L539 451L484 438C458 390 429 338 404 300H402C375 407 351 451 285 451C168 451 24 312 24 153C24 56 66 -12 132 -12C206 -12 284 64 345 156H347C367 24 386 -12 422 -12C457 -12 503 7 558 106ZM338 206C272 99 215 56 173 56C140 56 116 96 116 170C116 303 194 405 255 405C304 405 324 299 338 206Z" id="g50-223"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="582" vert-adv-y="582"></glyph.data></g></svg></span></td><td align="center"><span style="width: 7.75923ptpx;"><svg height="12.6917pt" id="M17" style="vertical-align:-3.40337pt" version="1.1" viewbox="-0.0498162 -9.28833 7.75923 12.6917" width="7.75923pt" 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="M563 583C563 664 501 710 433 710C381 710 334 692 285 648C212 582 178 506 149 350L74 -56C49 -190 36 -222 24 -226L30 -257C52 -256 95 -247 121 -229C131 -222 134 -206 165 -21L219 303C254 510 296 665 397 665C447 665 481 626 481 572C481 512 446 457 390 420C367 405 351 400 323 397L302 349C398 338 466 285 466 197C466 117 419 45 306 45C268 45 224 59 198 74L186 50C197 20 228 -14 274 -14C318 -14 359 3 401 26C478 68 554 144 554 225C554 322 493 367 412 396C490 446 563 500 563 583Z" id="g50-224"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="587" vert-adv-y="587"></glyph.data></g></svg></span></td></tr><tr><td class="thead-hr" colspan="4"><hr/></td></tr><tr><td align="left">Lane 1</td><td align="center"> </td><td align="center"> </td><td align="center"> </td></tr><tr><td align="left"> Free flow</td><td align="center">Gamma</td><td align="center">1.85</td><td align="center">10.75</td></tr><tr><td align="left"> Following flow</td><td align="center"><svg height="12.4894pt" id="M18" style="vertical-align:-3.3446pt" version="1.1" viewbox="-0.0498162 -9.1448 16.515 12.4894" width="16.515pt" 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="M244 0V30C178 35 170 41 170 107V710C136 697 72 680 18 675V647C83 642 89 639 89 572V107C89 43 80 35 16 30V0H244Z" id="g58-106"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="260" vert-adv-y="260"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,3.38,0)"><path d="M262 451C169 451 38 375 38 210C38 98 121 -12 261 -12C360 -12 481 64 481 227C481 351 386 451 262 451ZM249 414C337 414 385 320 385 204C385 70 333 25 272 25C189 25 134 117 134 241C134 355 189 414 249 414Z" id="g58-109"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="519" vert-adv-y="519"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,10.127,0)"><path d="M472 439C432 432 382 428 334 425C303 442 271 451 236 451H235C158 451 54 398 54 285C54 216 97 171 140 152C124 133 93 105 53 90C52 81 55 63 64 48C77 27 102 5 137 -6C115 -22 77 -53 57 -73C40 -88 32 -107 32 -130C32 -189 96 -253 208 -253C340 -253 461 -159 461 -56C461 44 378 63 314 63C281 63 246 62 207 62C163 62 145 80 145 99C145 114 160 130 175 141C191 138 210 136 226 136C314 136 405 188 405 294C405 329 393 359 376 382L433 378C448 387 469 415 477 430L472 439ZM226 417C282 417 320 364 320 288S281 172 236 171C180 171 142 224 142 300S182 417 226 417ZM248 -9C291 -9 319 -11 346 -22S390 -57 390 -90C390 -151 339 -199 246 -199C171 -199 114 -159 114 -106C114 -79 132 -53 159 -30C178 -15 200 -9 248 -9Z" id="g58-101"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="479" vert-adv-y="479"></glyph.data></g></svg>-normal</td><td align="center">1.56</td><td align="center">0.878</td></tr><tr><td align="left">Lane 2</td><td align="center"> </td><td align="center"> </td><td align="center"> </td></tr><tr><td align="left"> Free flow</td><td align="center">Gamma</td><td align="center">1.38</td><td align="center">8.74</td></tr><tr><td align="left"> Following flow</td><td align="center"><svg height="12.4894pt" id="M19" style="vertical-align:-3.3446pt" version="1.1" viewbox="-0.0498162 -9.1448 16.515 12.4894" width="16.515pt" 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="M244 0V30C178 35 170 41 170 107V710C136 697 72 680 18 675V647C83 642 89 639 89 572V107C89 43 80 35 16 30V0H244Z" id="g58-106"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="260" vert-adv-y="260"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,3.38,0)"><path d="M262 451C169 451 38 375 38 210C38 98 121 -12 261 -12C360 -12 481 64 481 227C481 351 386 451 262 451ZM249 414C337 414 385 320 385 204C385 70 333 25 272 25C189 25 134 117 134 241C134 355 189 414 249 414Z" id="g58-109"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="519" vert-adv-y="519"></glyph.data></g><g transform="matrix(.013,0,0,-0.013,10.127,0)"><path d="M472 439C432 432 382 428 334 425C303 442 271 451 236 451H235C158 451 54 398 54 285C54 216 97 171 140 152C124 133 93 105 53 90C52 81 55 63 64 48C77 27 102 5 137 -6C115 -22 77 -53 57 -73C40 -88 32 -107 32 -130C32 -189 96 -253 208 -253C340 -253 461 -159 461 -56C461 44 378 63 314 63C281 63 246 62 207 62C163 62 145 80 145 99C145 114 160 130 175 141C191 138 210 136 226 136C314 136 405 188 405 294C405 329 393 359 376 382L433 378C448 387 469 415 477 430L472 439ZM226 417C282 417 320 364 320 288S281 172 236 171C180 171 142 224 142 300S182 417 226 417ZM248 -9C291 -9 319 -11 346 -22S390 -57 390 -90C390 -151 339 -199 246 -199C171 -199 114 -159 114 -106C114 -79 132 -53 159 -30C178 -15 200 -9 248 -9Z" id="g58-101"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="479" vert-adv-y="479"></glyph.data></g></svg>-normal</td><td align="center">0.83</td><td align="center">0.58</td></tr><tr class="table-tr"><td colspan="4"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Probability distribution types and parameters for the headways.

Shock and Vibration

tab5

Table 5

Table 5: Fatigue Performance Assessment of Composite Arch Bridge Suspenders Based on Actual Vehicle Loads 