Flexural Reinforcement of Over-Reinforced Beam by Ultrahigh Performance Concrete Layer

<table class="table-group" id="tab8"><tr><td><table class="table"><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr class="thead"><td class="align_left">Beam</td><td class="align_center"><i>P</i><sub>y</sub>/kN</td><td class="align_center"><i>P</i><sub>p</sub>/kN</td><td class="align_center">Peak load increment (%)</td><td class="align_center"><svg height="12.0653pt" id="M20" style="vertical-align:-3.4294pt" version="1.1" viewbox="-0.0498162 -8.6359 16.0191 12.0653" width="16.0191pt" 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="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M556 393C556 426 537 448 514 448C496 448 478 435 471 420C468 414 462 401 466 394C473 382 480 368 480 346C480 268 392 143 338 67H336C329 163 319 253 309 330S286 448 254 448C215 448 160 383 127 337L143 311C167 344 200 373 208 373S222 365 229 320C246 214 264 66 268 -20C219 -83 131 -171 17 -239L25 -261L137 -235C248 -110 273 -79 335 8C384 77 481 215 520 287C544 332 556 363 556 393Z"></path></g></svg> (mm)</td><td class="align_center"><svg height="8.8423pt" id="M21" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 15.4841 8.8423" width="15.4841pt" 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="M600 0V24L339 665L311 657L43 24V0H600ZM497 50H107L303 539L497 50Z"></path></g><g transform="matrix(.013,0,0,-0.013,8.327,0)"><path d="M515 96L502 119C471 88 431 62 423 62C416 62 411 70 417 101C440 223 469 341 497 448H486L412 422L380 277C330 188 210 57 152 57C137 57 126 69 139 124L195 366C210 431 205 448 182 448C155 448 89 413 23 350L36 326C73 354 103 376 112 376C118 376 118 365 113 340L61 118C54 90 52 68 52 51C52 0 75 -12 98 -12S151 -3 181 17C242 58 305 119 362 193H364L345 104C323 3 339 -12 359 -12C390 -12 464 35 515 96Z"></path></g></svg> (mm)</td><td class="align_center"><span style="width: 7.34167ptpx;"><svg height="9.39034pt" id="M22" style="vertical-align:-3.42943pt" version="1.1" viewbox="-0.0498162 -5.96091 7.34167 9.39034" width="7.34167pt" 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="M538 96L524 119C492 88 454 63 446 63C439 63 434 70 440 101C463 223 491 341 518 448H508L433 422L401 276C355 192 240 56 188 56C163 56 154 89 163 133C184 233 207 338 235 443L230 448L152 424L58 17C40 -60 23 -143 23 -185C23 -241 42 -261 63 -261C92 -261 117 -241 125 -227L124 -221C109 -209 89 -165 89 -103C89 -55 96 -13 105 26H107C121 -3 134 -12 151 -12C172 -12 194 -5 221 16C279 61 330 124 384 194H386C381 159 377 141 368 105C343 3 363 -12 383 -12C416 -12 486 35 538 96Z"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="7"><hr/></td></tr><tr><td class="align_left">CB-2</td><td class="align_center">86.81</td><td class="align_center">108.85</td><td class="align_center">—</td><td class="align_center">5.26</td><td class="align_center">12.80</td><td class="align_center">2.43</td></tr><tr><td class="align_left">UB30-22-24</td><td class="align_center">163.26</td><td class="align_center">178.76</td><td class="align_center">64.2</td><td class="align_center">7.16</td><td class="align_center">170.77</td><td class="align_center">23.85</td></tr><tr class="table-tr"><td colspan="7"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Comparison of yield load, peak load, and ductility coefficient.</div>

Mathematical Problems in Engineering

tab8

Table 8

Table 8: Flexural Reinforcement of Over-Reinforced Beam by Ultrahigh Performance Concrete Layer 