Coaction of Wind and Rain Effects on Large-Span Hyperbolic Roofs

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr class="thead"><td class="align_left">Model</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>δ</i></td><td class="align_center"><i>H</i><sub>b</sub>/m</td><td class="align_center"><i>ρ</i></td><td class="align_center"><i>H</i>/m</td><td class="align_center"><i>f</i><sub>1</sub>/m</td><td class="align_center"><i>f</i><sub>2</sub>/m</td><td class="align_center"><i>H</i><sub>max</sub>/m</td><td class="align_center"> </td></tr><tr><td class="thead-hr" colspan="11"><hr/></td></tr><tr><td class="align_left">Square hyperbolic roof</td><td class="align_center">M1</td><td class="align_center">0.8</td><td class="align_center">0.8</td><td class="align_center">1/6</td><td class="align_center">0.1333</td><td class="align_center">1/10</td><td class="align_center">0.08</td><td class="align_center">0.0267</td><td class="align_center">0.0533</td><td class="align_center">0.2133</td></tr><tr><td class="align_left">Rectangular hyperbolic roof</td><td class="align_center">M2</td><td class="align_center">0.4</td><td class="align_center">0.8</td><td class="align_center">1/6</td><td class="align_center">0.1333</td><td class="align_center">1/10</td><td class="align_center">0.08</td><td class="align_center">0.0267</td><td class="align_center">0.0533</td><td class="align_center">0.2133</td></tr><tr><td class="align_left">Circular hyperbolic roof</td><td class="align_center">M3</td><td class="align_center">0.8</td><td class="align_center">0.8</td><td class="align_center">1/6</td><td class="align_center">0.1333</td><td class="align_center">1/10</td><td class="align_center">0.08</td><td class="align_center">0.0267</td><td class="align_center">0.0533</td><td class="align_center">0.2133</td></tr><tr><td class="align_left">Elliptical hyperbolic roof</td><td class="align_center">M4</td><td class="align_center">0.4</td><td class="align_center">0.8</td><td class="align_center">1/6</td><td class="align_center">0.1333</td><td class="align_center">1/10</td><td class="align_center">0.08</td><td class="align_center">0.0267</td><td class="align_center">0.0533</td><td class="align_center">0.2133</td></tr><tr class="table-tr"><td colspan="11"><hr class="tbody-hr"/></td></tr></table></td></tr><tr class="table-fn"><td><div>Note: <span class="nowrap"><svg height="12.7178pt" id="M57" style="vertical-align:-3.42947pt" version="1.1" viewbox="-0.0498162 -9.28833 63.3107 12.7178" width="63.3107pt" 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><g transform="matrix(.013,0,0,-0.013,10.642,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.905,0)"><path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path></g><g transform="matrix(.013,0,0,-0.013,32.828,0)"><path d="M368 703H309L44 -163H104L368 703Z"></path></g><g transform="matrix(.013,0,0,-0.013,38.189,0)"><path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 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712C238 712 174 667 174 603C174 561 205 514 249 449C219 438 187 422 162 407C93 366 23 283 23 177C23 69 87 -12 190 -12C244 -12 288 5 328 33C406 87 444 170 444 249C444 329 404 391 331 475C265 550 222 605 222 627C222 647 238 657 267 657C355 657 421 585 484 499L494 514ZM359 234C359 143 319 30 219 30C172 30 114 75 114 178C114 275 163 343 195 378C212 397 241 415 269 425C305 382 359 313 359 234Z"></path></g><g transform="matrix(.013,0,0,-0.013,10.354,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,21.617,0)"><path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,31.692,3.132)"><path d="M460 334C460 396 434 451 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260 424C228 405 206 387 185 372V453C141 434 90 421 43 413V386C102 378 105 373 105 309V106C105 41 96 35 29 30V0H243V30C194 35 185 41 185 106V335C216 360 256 389 297 389C357 389 384 348 384 275V106C384 41 374 35 312 30V0H530V30C475 35 465 41 465 104V294C465 313 464 324 463 336C502 367 539 389 576 389C637 389 663 346 663 274V109C663 41 653 35 593 30V0H810Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,57.773,3.132)"><path d="M442 39L431 68C420 63 406 57 394 57C377 57 359 71 359 118V301C359 353 349 393 314 424C291 443 261 451 230 451C171 438 107 401 79 381C59 366 46 355 46 340C46 316 72 295 91 295C106 295 117 303 122 319C131 350 139 371 152 384C163 397 178 404 197 404C246 404 281 365 281 293V278C260 262 186 232 124 213C69 194 41 161 41 112C41 47 92 -12 163 -12C195 -12 243 25 283 51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z"></path></g><g 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51C288 35 293 22 308 7C319 -4 339 -12 354 -12L442 39ZM281 87C262 68 226 51 199 51C169 51 129 74 129 126C129 162 151 181 190 198C211 208 259 229 281 240V87Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,19.942,3.132)"><path d="M482 0V30C420 38 407 48 370 103L273 248C308 299 331 332 352 357C387 397 401 404 463 409V439H277V409C318 405 324 400 307 369C290 337 270 307 251 279L194 367C175 396 180 402 220 409V439H18V409C74 401 87 395 117 349L204 213C173 168 147 130 119 95C78 46 67 38 5 30V0H195V30C144 38 143 47 162 79C181 112 202 149 225 181L297 70C314 43 307 35 264 30V0H482Z"></path></g><g transform="matrix(.013,0,0,-0.013,28.518,0)"><path d="M535 323V373H52V323H535ZM535 138V188H52V138H535Z"></path></g><g transform="matrix(.013,0,0,-0.013,39.781,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z"></path></g><g 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38 180 103V338C210 363 250 390 289 390C351 390 377 348 377 275V103C377 37 368 32 306 26V0H520V26C465 32 456 38 456 101V296C456 314 455 326 453 338C491 369 529 390 565 390C628 390 653 345 653 274V107C653 36 642 32 583 26V0H797Z"></path></g></svg><br/></div></td></tr></table>

Shock and Vibration

tab2

Table 2

Table 2: Coaction of Wind and Rain Effects on Large-Span Hyperbolic Roofs 