Large Ring Test for Evaluation of Restrained Shrinkage Cracking: Calibration and Experimental Trial

<table class="table-group" id="tab3"><tr><td><table class="table"><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr class="thead"><td class="align_left" rowspan="2">Ring</td><td class="align_center" colspan="4">Effective elastic modulus <i>E</i><sub><i>S′</i></sub> (GPa)</td><td class="align_center" colspan="3">Calibration coefficient <i>α</i></td></tr><tr class="thead"><td class="align_center">MP1</td><td class="align_center">MP2</td><td class="align_center">MP3</td><td class="align_center"><span style="width: 14.9265ptpx;"><svg height="16.0028pt" id="M15" style="vertical-align:-3.2911pt" version="1.1" viewbox="-0.0498162 -12.7117 14.9265 16.0028" width="14.9265pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.996264" width="9.96264" x="0.032623" y="-11.2265"></rect><g transform="matrix(.013,0,0,-0.013,.962,.966)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.963,3.132)"><path d="M463 633C453 636 427 644 417 648C388 660 349 667 316 667C183 667 100 592 100 483C100 398 176 335 223 305L259 282C321 242 358 203 358 149C358 66 301 22 234 22C110 22 70 131 57 208L24 205L28 48C51 23 128 -17 215 -17C342 -17 446 60 446 174C446 262 394 310 317 361L284 383C229 420 183 455 183 515C183 569 222 628 298 628C384 628 418 563 428 481L461 487C459 527 458 593 463 633Z"></path></g></svg></span></td><td class="align_center">MP1</td><td class="align_center">MP2</td><td class="align_center">MP3</td></tr><tr><td class="thead-hr" colspan="8"><hr/></td></tr><tr><td class="align_left">A</td><td class="align_center">247</td><td class="align_center">234</td><td class="align_center">237</td><td class="align_center">239</td><td class="align_center">1.03</td><td class="align_center">0.98</td><td class="align_center">0.99</td></tr><tr><td class="align_left">B</td><td class="align_center">234</td><td class="align_center">228</td><td class="align_center">233</td><td class="align_center">232</td><td class="align_center">1.01</td><td class="align_center">0.98</td><td class="align_center">1</td></tr><tr class="table-tr"><td colspan="8"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

<div>Effective elastic moduli (<span class="nowrap"><svg height="15.3797pt" id="M13" style="vertical-align:-3.9436pt" version="1.1" viewbox="-0.0498162 -11.4361 12.9366 15.3797" width="12.9366pt" 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="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,8.008,-5.741)"><path d="M310 541L304 571C290 586 211 619 185 610L80 76L131 52L310 541Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.943,3.784)"><path d="M463 633C453 636 427 644 417 648C388 660 349 667 316 667C183 667 100 592 100 483C100 398 176 335 223 305L259 282C321 242 358 203 358 149C358 66 301 22 234 22C110 22 70 131 57 208L24 205L28 48C51 23 128 -17 215 -17C342 -17 446 60 446 174C446 262 394 310 317 361L284 383C229 420 183 455 183 515C183 569 222 628 298 628C384 628 418 563 428 481L461 487C459 527 458 593 463 633Z"></path></g></svg>)</span> and the average effective modulus <svg height="16.0028pt" id="M14" style="vertical-align:-3.2911pt" version="1.1" viewbox="-0.0498162 -12.7117 14.9265 16.0028" width="14.9265pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><rect height="0.996264" width="9.96264" x="0.032623" y="-11.2265"></rect><g transform="matrix(.013,0,0,-0.013,.962,.966)"><path d="M593 650H142L136 622C219 616 224 611 209 531L130 120C114 39 108 34 23 28L17 0H501C518 32 557 130 568 158L540 169C519 132 495 93 469 70C439 43 409 35 332 35C272 35 241 37 225 50C211 61 211 89 222 149L253 320H350C441 320 443 312 441 239H471L510 434H481C455 366 448 358 360 358H260L303 572C311 613 312 615 348 615H431C509 615 522 603 532 581C544 555 546 531 545 491L574 493C583 555 592 631 593 650Z"></path></g><g transform="matrix(.0091,0,0,-0.0091,9.963,3.132)"><path d="M463 633C453 636 427 644 417 648C388 660 349 667 316 667C183 667 100 592 100 483C100 398 176 335 223 305L259 282C321 242 358 203 358 149C358 66 301 22 234 22C110 22 70 131 57 208L24 205L28 48C51 23 128 -17 215 -17C342 -17 446 60 446 174C446 262 394 310 317 361L284 383C229 420 183 455 183 515C183 569 222 628 298 628C384 628 418 563 428 481L461 487C459 527 458 593 463 633Z"></path></g></svg> for Ring A and Ring B.</div>

Advances in Civil Engineering

tab3

Table 3

Table 3: Large Ring Test for Evaluation of Restrained Shrinkage Cracking: Calibration and Experimental Trial 