Theoretical 3D Model for Quasistatic Critical Derailment Coefficient of Railway Vehicles and a Simplified Formula

<table class="table-group" id="tab4"><tr><td><table class="table"><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr class="thead"><td class="align_left">Maximum flange contact angle (°)</td><td class="align_center"><span style="width: 8.8162ptpx;"><svg height="8.8423pt" id="M140" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -8.6359 8.8162 8.8423" width="8.8162pt" 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="M645 631C614 643 545 666 457 666C215 666 23 519 23 283C23 90 158 -16 337 -16C412 -16 489 2 522 10C543 39 590 127 606 167L580 181C519 89 459 18 348 18C201 18 122 136 122 287C122 464 244 632 435 632C544 632 602 595 608 472L639 475C643 526 645 581 645 631Z" id="g113-68"></path></g></svg></span></td><td class="align_center"><span style="width: 10.095ptpx;"><svg height="8.68572pt" id="M141" style="vertical-align:-0.0498209pt" version="1.1" viewbox="-0.0498162 -8.6359 10.095 8.68572" width="10.095pt" 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="M743 375C743 570 607 650 407 650H136L130 622C214 612 220 606 204 526L125 122C110 43 105 36 24 27L17 0H250C382 0 482 23 571 76C680 141 743 248 743 375ZM644 379C644 188 520 36 305 36C277 36 249 38 229 46C205 55 202 71 212 126L293 553C300 588 306 600 317 606C330 613 356 617 390 617C547 617 644 537 644 379Z" id="g113-69"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="3"><hr/></td></tr><tr><td class="align_left">60</td><td class="align_center">1.00178</td><td class="align_center">0.19069</td></tr><tr><td class="align_left">62</td><td class="align_center">1.06522</td><td class="align_center">0.20025</td></tr><tr><td class="align_left">64</td><td class="align_center">1.13845</td><td class="align_center">0.21123</td></tr><tr><td class="align_left">66</td><td class="align_center">1.22337</td><td class="align_center">0.22473</td></tr><tr><td class="align_left">68</td><td class="align_center">1.3206</td><td class="align_center">0.24474</td></tr><tr><td class="align_left">70</td><td class="align_center">1.4535</td><td class="align_center">0.24839</td></tr><tr class="table-tr"><td colspan="3"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Simplified calculation parameters for critical derailment coefficients.

Mathematical Problems in Engineering

tab4

Table 4

Table 4: Theoretical 3D Model for Quasistatic Critical Derailment Coefficient of Railway Vehicles and a Simplified Formula 