Novel Crashworthy Device for Pier Protection from Barge Impact

<div>The total number of beam units <svg height="16.1972pt" id="M210" style="vertical-align:-3.925301pt" version="1.1" viewbox="-0.0498162 -12.2719 28.0418 16.1972" width="28.0418pt" 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="M822 650H589L583 622C660 617 677 607 674 561C672 534 664 481 647 390L600 137H596L273 650H126L120 622C176 620 194 615 207 594C221 571 225 557 214 504L161 257C141 166 129 112 121 85C108 42 83 30 29 28L23 0H260L266 28C193 33 173 42 176 89C178 122 186 172 202 255L256 527H259L583 -8H612L690 390C708 481 720 535 728 558C744 603 756 619 816 622L822 650Z" id="g113-79"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.91,-5.741)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z" id="g190-117"></path></g><g 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id="g190-99"></path></g></svg> used by the optimum device versus barge impact energy <svg height="11.9087pt" id="M212" style="vertical-align:-3.2728pt" version="1.1" viewbox="-0.0498162 -8.6359 30.9567 11.9087" width="30.9567pt" 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="M962 650H739L732 622L760 619C812 613 819 604 798 552C760 457 671 267 606 131H604L511 638H480L237 131H233L183 554C177 607 183 614 226 619L248 622L257 650H24L17 622C88 615 92 611 103 524L173 -11H203L450 491H453L543 -11H575L839 529C882 609 886 613 953 622L962 650Z" id="g113-88"></path></g><g transform="matrix(.0091,0,0,-0.0091,10.777,3.132)"><path d="M298 36L289 62C276 55 253 45 228 45C202 45 169 60 169 141V397H276C289 405 292 426 282 437H169V574L155 576L90 509V437H45L17 408L21 397H90V107C90 28 125 -12 188 -12C198 -12 213 -8 230 1L298 36Z" id="g190-117"></path></g><g transform="matrix(.0091,0,0,-0.0091,13.498,3.132)"><path d="M257 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Advances in Civil Engineering

Novel Crashworthy Device for Pier Protection from Barge Impact

Figure 18