<div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c7679c61-e0ca-4ec3-855c-eb679827cb82/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws2">1 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="t m0 x1 h4 y5 ff1 fs1 fc1 sc0 ls1 ws2">Análise de Estruturas I - Resumo </div><div class="t m0 x1 h4 y6 ff1 fs1 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h5 y7 ff2 fs2 fc0 sc0 ls1 ws2">TIRANTES E ESCORAS </div><div class="t m0 x1 h6 y8 ff2 fs3 fc1 sc0 ls1 ws2"> </div><div class="t m0 x1 h6 y9 ff2 fs3 fc1 sc0 ls1 ws2">Introdução </div><div class="t m0 x1 h2 ya ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Depois <span class="_1 blank"> </span>de <span class="_1 blank"> </span>falarmos <span class="_1 blank"> </span>sobre <span class="_1 blank"> </span>as <span class="_1 blank"> </span>treliças <span class="_1 blank"> </span>nas <span class="_1 blank"> </span>últimas <span class="_1 blank"> </span>aulas, <span class="_1 blank"> </span>vamos <span class="_1 blank"> </span>voltar <span class="_1 blank"> </span>a <span class="_1 blank"> </span>discutir </div><div class="t m0 x1 h2 yb ff1 fs0 fc0 sc0 ls1 ws2">um <span class="_2 blank"></span>pouco <span class="_2 blank"></span>os <span class="_2 blank"></span>pórticos <span class="_2 blank"></span>planos. <span class="_2 blank"></span>Na <span class="_2 blank"></span>aula <span class="_2 blank"></span>de <span class="_2 blank"></span>hoje <span class="_2 blank"></span>vamos <span class="_2 blank"></span>estudar <span class="_2 blank"></span>dois <span class="_2 blank"></span>elemen<span class="_2 blank"></span>tos <span class="_2 blank"></span>estruturais </div><div class="t m0 x1 h2 yc ff1 fs0 fc0 sc0 ls1 ws2">muito <span class="_3 blank"> </span>importantes, <span class="_3 blank"> </span>que <span class="_3 blank"> </span>possuem <span class="_3 blank"> </span>particularidades <span class="_3 blank"> </span>que <span class="_3 blank"> </span>devem <span class="_3 blank"> </span>s<span class="_2 blank"></span>er <span class="_3 blank"> </span>levadas <span class="_3 blank"> </span>em </div><div class="t m0 x1 h2 yd ff1 fs0 fc0 sc0 ls1 ws2">consideração no momento do cálculo. </div><div class="t m0 x1 h2 ye ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Estamos <span class="_4 blank"> </span>falando <span class="_4 blank"> </span>dos <span class="_4 blank"> </span><span class="fc1">tirantes <span class="_4 blank"> </span></span>e <span class="_4 blank"> </span>das <span class="_4 blank"> </span><span class="fc1 ws0">escoras</span>. <span class="_4 blank"> </span>Vamos <span class="_4 blank"> </span>ver <span class="_4 blank"> </span>quais <span class="_4 blank"> </span>são <span class="_4 blank"> </span>essas </div><div class="t m0 x1 h2 yf ff1 fs0 fc0 sc0 ls1 ws2">particularidades, <span class="_2 blank"></span>e como <span class="_2 blank"></span>podemos aplicar <span class="_2 blank"></span>os <span class="_2 blank"></span>elementos em <span class="_2 blank"></span>uma estrutura. <span class="_2 blank"></span>Além <span class="_2 blank"></span>disso, </div><div class="t m0 x1 h2 y10 ff1 fs0 fc0 sc0 ls1 ws2">veremos <span class="_5 blank"> </span>como <span class="_5 blank"> </span>podemos <span class="_5 blank"> </span>aplicar <span class="_5 blank"> </span>os <span class="_5 blank"> </span>conceitos <span class="_5 blank"> </span>que <span class="_5 blank"> </span>já <span class="_5 blank"> </span>conhecemos <span class="_5 blank"> </span>no <span class="_5 blank"> </span>cálculo <span class="_5 blank"> </span>de </div><div class="t m0 x1 h2 y11 ff1 fs0 fc0 sc0 ls1 ws2">estruturas que possuam estes elementos. </div><div class="t m0 x1 h2 y12 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h6 y13 ff2 fs3 fc1 sc0 ls1 ws2">Definição e aplicações </div><div class="t m0 x1 h2 y14 ff1 fs0 fc1 sc0 ls1 ws2">Definição </div><div class="t m0 x3 h2 y15 ff3 fs0 fc0 sc0 ls1 ws1">\uf0b7<span class="ff4 ls0 ws2"> <span class="ff1 ls1">Chamamos <span class="_6 blank"> </span>de <span class="_6 blank"> </span><span class="fc1">tirante <span class="_6 blank"> </span></span>todo <span class="_6 blank"> </span>elemento <span class="_6 blank"> </span>estrutural <span class="_6 blank"> </span>rotulado <span class="_6 blank"> </span>nas <span class="_6 blank"> </span>extremidades <span class="_6 blank"> </span>e </span></span></div><div class="t m0 x4 h2 y16 ff1 fs0 fc0 sc0 ls1 ws2">sem <span class="_1 blank"> </span>nenh<span class="_2 blank"></span>um <span class="_1 blank"> </span>carregamento <span class="_7 blank"> </span>diretamente <span class="_7 blank"> </span>aplicado, <span class="_1 blank"> </span>quando <span class="_7 blank"> </span>ele <span class="_7 blank"> </span>está <span class="_1 blank"> </span>submetido </div><div class="t m0 x4 h2 y17 ff1 fs0 fc0 sc0 ls1 ws2">apenas <span class="_8 blank"> </span>a <span class="_8 blank"> </span>esforços <span class="_8 blank"> </span>normais <span class="_8 blank"> </span>de <span class="_8 blank"> </span>tração. <span class="_8 blank"> </span>Se <span class="_8 blank"> </span>os <span class="_8 blank"> </span>esforços <span class="_8 blank"> </span>forem <span class="_8 blank"> </span>de <span class="_8 blank"> </span>compressão,<span class="_2 blank"></span> </div><div class="t m0 x4 h2 y18 ff1 fs0 fc0 sc0 ls1 ws2">chamamos o elemento de <span class="fc1 ws0">escora</span>. </div><div class="t m0 x3 h2 y19 ff3 fs0 fc0 sc0 ls1 ws1">\uf0b7<span class="ff4 ls0 ws2"> <span class="ff1 ls1">Normalmente <span class="_2 blank"></span>um <span class="_2 blank"></span>tirante <span class="_2 blank"></span>ou <span class="_2 blank"></span>uma <span class="_2 blank"></span>escora <span class="_2 blank"></span>são i<span class="_2 blank"></span>nstalados <span class="_2 blank"></span>na <span class="_2 blank"></span>estru<span class="_7 blank"> </span>tura <span class="_2 blank"></span>de <span class="_2 blank"></span>forma <span class="_2 blank"></span>se </span></span></div><div class="t m0 x4 h2 y1a ff1 fs0 fc0 sc0 ls1 ws2">só suporte<span class="_2 blank"></span>m aquele <span class="_8 blank"> </span>tipo d<span class="_2 blank"></span>e esforço, <span class="_8 blank"> </span>respectivamente <span class="_8 blank"> </span>tração e <span class="_8 blank"> </span>compressão. </div><div class="t m0 x4 h2 y1b ff1 fs0 fc0 sc0 ls1 ws2">Portanto, devemos tomar cuidad<span class="_2 blank"></span>o durante a fase de projeto <span class="_8 blank"> </span>para que, por </div><div class="t m0 x4 h2 y1c ff1 fs0 fc0 sc0 ls1 ws2">exemplo, <span class="_6 blank"> </span>u<span class="_2 blank"></span>m <span class="_6 blank"> </span>tirante <span class="_1 blank"> </span>não <span class="_6 blank"> </span>esteja <span class="_9 blank"> </span>submetido, <span class="_9 blank"> </span>em <span class="_9 blank"> </span>algum <span class="_9 blank"> </span>momento <span class="_9 blank"> </span>ao <span class="_9 blank"> </span>longo <span class="_9 blank"> </span>da </div><div class="t m0 x4 h2 y1d ff1 fs0 fc0 sc0 ls1 ws2">vida da estrutura, a esforços de compressão. </div><div class="t m0 x1 h2 y1e ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y1f ff1 fs0 fc1 sc0 ls1 ws2">Aplicações </div><div class="t m0 x3 h2 y20 ff3 fs0 fc0 sc0 ls1 ws1">\uf0b7<span class="ff4 ls0 ws2"> <span class="ff1 ls1">Os <span class="_9 blank"> </span>tirantes <span class="_6 blank"> </span>podem <span class="_6 blank"> </span>ser <span class="_9 blank"> </span>utilizados <span class="_6 blank"> </span>como <span class="_6 blank"> </span>estais <span class="_9 blank"> </span>nas <span class="_6 blank"> </span>pontes <span class="_6 blank"> </span>estaiadas, <span class="_9 blank"> </span>ou <span class="_6 blank"> </span>como </span></span></div><div class="t m0 x4 h2 y21 ff1 fs0 fc0 sc0 ls1 ws2">elementos <span class="_7 blank"> </span>de <span class="_1 blank"> </span>sustentação <span class="_1 blank"> </span>de <span class="_7 blank"> </span>estruturas <span class="_1 blank"> </span>esbeltas, <span class="_7 blank"> </span>c<span class="_7 blank"> </span>om<span class="_2 blank"></span>o <span class="_1 blank"> </span>treliças <span class="_1 blank"> </span>ou <span class="_7 blank"> </span>coberturas </div><div class="t m0 x4 h2 y22 ff1 fs0 fc0 sc0 ls1 ws2">de edifícios; </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf2" class="pf w0 h0" data-page-no="2"><div class="pc pc2 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c7679c61-e0ca-4ec3-855c-eb679827cb82/bg2.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws2">2 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="t m0 x3 h2 y23 ff3 fs0 fc0 sc0 ls1 ws1">\uf0b7<span class="ff4 ls0 ws2"> <span class="ff1 ls1">As <span class="_2 blank"></span>escoras <span class="_a blank"></span>possuem <span class="_a blank"></span>larga <span class="_2 blank"></span>utilização <span class="_a blank"></span>durante <span class="_a blank"></span>a <span class="_2 blank"></span>fase <span class="_a blank"></span>de <span class="_2 blank"></span>construção <span class="_a blank"></span>de <span class="_2 blank"></span>um <span class="_a blank"></span>edifício, </span></span></div><div class="t m0 x4 h2 y24 ff1 fs0 fc0 sc0 ls1 ws2">sendo <span class="_2 blank"></span>usadas <span class="_a blank"></span>para o <span class="_a blank"></span>suporte <span class="_2 blank"></span>de <span class="_2 blank"></span>lajes <span class="_2 blank"></span>e <span class="_2 blank"></span>outros <span class="_2 blank"></span>elementos <span class="_2 blank"></span>estruturais <span class="_2 blank"></span>de <span class="_2 blank"></span>concreto </div><div class="t m0 x4 h2 y25 ff1 fs0 fc0 sc0 ls1 ws2">armado <span class="_1 blank"> </span>durante <span class="_9 blank"> </span>o <span class="_1 blank"> </span>processo <span class="_9 blank"> </span>de <span class="_1 blank"> </span>cura <span class="_9 blank"> </span>do <span class="_1 blank"> </span>concreto. <span class="_9 blank"> </span>Normalmente <span class="_1 blank"> </span>essas <span class="_9 blank"> </span>escoras </div><div class="t m0 x4 h2 y26 ff1 fs0 fc0 sc0 ls1 ws2">são de <span class="_8 blank"> </span>madeira, <span class="_8 blank"> </span>mas hoje <span class="_8 blank"> </span>em dia <span class="_8 blank"> </span>é comum <span class="_8 blank"> </span>utilizar escoras <span class="_8 blank"> </span>metálicas, <span class="_8 blank"> </span>com </div><div class="t m0 x4 h2 y27 ff1 fs0 fc0 sc0 ls1 ws2">tamanho ajustável, de forma a serem reaproveitáv<span class="_2 blank"></span>eis.<span class="_7 blank"> </span> </div><div class="t m0 x1 h2 y28 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x5 h2 y29 ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_b blank"> </span> </div><div class="t m0 x6 h2 y2a ff1 fs0 fc0 sc0 ls1 ws2">Exemplos de aplicações em tirantes </div><div class="t m0 x1 h2 y2b ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x7 h2 y2c ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_c blank"> </span> </div><div class="t m0 x6 h2 y2d ff1 fs0 fc0 sc0 ls1 ws2">Exemplos de aplicações em escoras </div><div class="t m0 x1 h2 y2e ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h6 y2f ff2 fs3 fc1 sc0 ls1 ws2">Cálculo </div><div class="t m0 x1 h2 y30 ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Como <span class="_7 blank"> </span>vimos <span class="_7 blank"> </span>na <span class="_1 blank"> </span>aula <span class="_7 blank"> </span>de <span class="_1 blank"> </span>treliças, <span class="_7 blank"> </span>quando <span class="_7 blank"> </span>temos <span class="_1 blank"> </span>uma <span class="_7 blank"> </span>barra <span class="_7 blank"> </span>se<span class="_7 blank"> </span>m <span class="_7 blank"> </span>carregamentos </div><div class="t m0 x1 h2 y31 ff1 fs0 fc0 sc0 ls1 ws2">aplicados <span class="_a blank"></span>diretamente, <span class="_2 blank"></span>e <span class="_2 blank"></span>ela <span class="_a blank"></span>é <span class="_2 blank"></span>rotulada <span class="_2 blank"></span>nas <span class="_2 blank"></span>extremidades, <span class="_a blank"></span>não <span class="_2 blank"></span>teremos <span class="_a blank"></span>mo<span class="_7 blank"> </span>mento <span class="_a blank"></span>fletor </div><div class="t m0 x1 h2 y32 ff1 fs0 fc0 sc0 ls1 ws2">ou <span class="_7 blank"> </span>esforço <span class="_1 blank"> </span>cortante <span class="_7 blank"> </span>ao <span class="_7 blank"> </span>longo <span class="_1 blank"> </span>dessa <span class="_7 blank"> </span>barra. <span class="_1 blank"> </span>Sendo <span class="_7 blank"> </span>assim, <span class="_1 blank"> </span>vamos <span class="_7 blank"> </span>nos <span class="_1 blank"> </span>preocupar <span class="_7 blank"> </span>apenas </div><div class="t m0 x1 h2 y33 ff1 fs0 fc0 sc0 ls1 ws2">com os esforços normais. </div><div class="t m0 x1 h2 y34 ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Sabendo <span class="_2 blank"></span>então <span class="_2 blank"></span>que o <span class="_a blank"></span>tirante ou <span class="_2 blank"></span>a <span class="_2 blank"></span>escora <span class="_2 blank"></span>só <span class="_2 blank"></span>possui um<span class="_2 blank"></span> esforço <span class="_a blank"></span>normal N, <span class="_a blank"></span>se<span class="_7 blank"> </span>ja <span class="_a blank"></span>ele </div><div class="t m0 x1 h2 y35 ff1 fs0 fc0 sc0 ls1 ws2">de <span class="_6 blank"> </span>compressão <span class="_9 blank"> </span>ou <span class="_6 blank"> </span>de <span class="_6 blank"> </span>tração,<span class="_7 blank"> </span> <span class="_9 blank"> </span>podemos, <span class="_6 blank"> </span>sem <span class="_6 blank"> </span>perda <span class="_6 blank"> </span>de <span class="_6 blank"> </span>estabilidade, <span class="_9 blank"> </span>romper <span class="_6 blank"> </span>a <span class="_6 blank"> </span>barra, </div><div class="t m0 x1 h2 y36 ff1 fs0 fc0 sc0 ls1 ws2">aplicando no<span class="_7 blank"> </span>s pontos <span class="_7 blank"> </span>rompidos dois <span class="_7 blank"> </span>esforços <span class="_7 blank"> </span>normais iguais <span class="_7 blank"> </span>a N, <span class="_7 blank"> </span>de se<span class="_7 blank"> </span>nt<span class="_2 blank"></span>idos <span class="_7 blank"> </span>opostos. </div><div class="t m0 x1 h2 y37 ff1 fs0 fc0 sc0 ls1 ws2">Isso adicionará uma variável ao nosso problema. </div><div class="t m0 x1 h2 y38 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf3" class="pf w0 h0" data-page-no="3"><div class="pc pc3 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c7679c61-e0ca-4ec3-855c-eb679827cb82/bg3.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws2">3 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="t m0 x1 h6 y39 ff2 fs3 fc1 sc0 ls1 ws2">Exemplo de aplicação </div><div class="t m0 x1 h2 y3a ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Resolva <span class="_1 blank"> </span>a <span class="_7 blank"> </span>estrutura <span class="_1 blank"> </span>abaixo, <span class="_1 blank"> </span>calculando <span class="_1 blank"> </span>as <span class="_1 blank"> </span>suas <span class="_1 blank"> </span>reações <span class="_1 blank"> </span>de <span class="_7 blank"> </span>apoio <span class="_1 blank"> </span>e <span class="_1 blank"> </span>traçando <span class="_1 blank"> </span>os </div><div class="t m0 x1 h2 y3b ff1 fs0 fc0 sc0 ls1 ws2">diagramas de esforços. </div><div class="t m0 x1 h2 y3c ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x8 h2 y3d ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y3e ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y3f ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Primeiro <span class="_9 blank"> </span>passo: <span class="_6 blank"> </span>devemos <span class="_9 blank"> </span>\u201cromper\u201d <span class="_9 blank"> </span>a <span class="_6 blank"> </span>barra <span class="_9 blank"> </span>CF, <span class="_6 blank"> </span>incluindo <span class="_9 blank"> </span>esforços <span class="_6 blank"> </span>normais <span class="_9 blank"> </span>N, </div><div class="t m0 x1 h2 y40 ff1 fs0 fc0 sc0 ls1 ws2">inicialmente como sendo de tração, conforme a figura abai<span class="_2 blank"></span>xo:<span class="_7 blank"> </span> </div><div class="t m0 x1 h2 y41 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x9 h2 y42 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y43 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y44 ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Segundo passo: cálculo das reações. </div><div class="t m0 x1 h2 y45 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x3 h7 y46 ff4 fs0 fc0 sc0 ls1 ws2">\u2022 <span class="_d blank"> </span><span class="ff5 ws3">\u2211\ue728</span></div><div class="t m0 xa h8 y47 ff5 fs4 fc0 sc0 ls2">\uebeb<span class="fs0 ls1 ws4 v1">= 0 \u2192 \ue72a</span></div><div class="t m0 xb h8 y47 ff5 fs4 fc0 sc0 ls3">\uebba<span class="fs0 ls1 ws5 v1">+ \ue730<span class="_7 blank"> </span>.<span class="_8 blank"> </span>\ue73f\ue74b\ue74f45° \u2212 \ue730.<span class="_8 blank"> </span>\ue73f\ue74b\ue74f45° \u2212 10\ue747\ue730<span class="_5 blank"> </span>=<span class="_5 blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_e blank"> </span>\ue72a</span></div><div class="t m0 xc h8 y47 ff5 fs4 fc0 sc0 ls4">\uebba<span class="fs0 ls1 ws6 v1">=<span class="_e blank"> </span>10\ue747\ue730 <span class="ff1 ws2"> </span></span></div><div class="t m0 x3 h7 y48 ff4 fs0 fc0 sc0 ls1 ws2">\u2022 <span class="_d blank"> </span><span class="ff5">\ue72f</span></div><div class="t m0 xd h8 y49 ff5 fs4 fc0 sc0 ls1 ws7">\uebbe ,\uebd8\uebe6\uebe4<span class="_4 blank"> </span><span class="fs0 ws8 v1">=<span class="_e blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_5 blank"> </span>4\ue749.<span class="_8 blank"> </span>\ue72a</span></div><div class="t m0 xe h9 y49 ff5 fs4 fc0 sc0 ls3">\uebba<span class="fs0 ls1 ws9 v1">+<span class="_f blank"> </span>2\ue749.<span class="_8 blank"> </span>\ue730<span class="_7 blank"> </span>.<span class="_8 blank"> </span>\ue73f\ue74b\ue74f45°<span class="_5 blank"> </span>=<span class="_e blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_e blank"> </span>\ue730<span class="_5 blank"> </span>=<span class="_5 blank"> </span>\u2212<span class="_8 blank"> </span></span><span class="ls1 wsa v2">\ueb38\uebc1</span><span class="fs5 ls5 v3">\uecb2</span><span class="fs0 ls1 wsb v1">= \u221220<span class="ws3 v4">\u221a</span><span class="wsc">2\ue747\ue730 \u2245</span></span></div><div class="t m0 x4 h7 y4a ff5 fs0 fc0 sc0 ls1 ws6">\u221228,3\ue747\ue730 <span class="ff1 ws2"> </span></div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf4" class="pf w0 h0" data-page-no="4"><div class="pc pc4 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c7679c61-e0ca-4ec3-855c-eb679827cb82/bg4.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws2">4 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="t m0 x3 h7 y4b ff4 fs0 fc0 sc0 ls1 ws2">\u2022 <span class="_d blank"> </span><span class="ff5 ws3">\u2211\ue72f</span></div><div class="t m0 xf h8 y4c ff5 fs4 fc0 sc0 ls6">\uebbc<span class="fs0 ls1 ws9 v1">=<span class="_e blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_5 blank"> </span>4\ue749.<span class="_8 blank"> </span>\ue738</span></div><div class="t m0 x10 h8 y4c ff5 fs4 fc0 sc0 ls7">\uebbb<span class="fs0 ls1 ws8 v1">\u2212<span class="_f blank"> </span>2\ue747\ue730 /\ue749 .<span class="_8 blank"> </span>4\ue749 .<span class="_8 blank"> </span>2\ue749<span class="_e blank"> </span>+<span class="_f blank"> </span>\ue72a</span></div><div class="t m0 x11 h8 y4c ff5 fs4 fc0 sc0 ls8">\uebba<span class="fs0 ls1 wsd v1">. 2\ue749<span class="_5 blank"> </span>=<span class="_e blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_5 blank"> </span>\ue738</span></div><div class="t m0 x12 h9 y4c ff5 fs4 fc0 sc0 ls9">\uebbb<span class="fs0 lsa v1">=</span><span class="ls1 wsa v2">\ueb35\ueb3a\ueb3f\ueb36\ueb34</span></div><div class="t m0 x13 ha y4d ff5 fs4 fc0 sc0 lsb">\ueb38<span class="fs0 ls1 ws6 v5">=<span class="_e blank"> </span>\u22121\ue747\ue730 <span class="ff1 ws2"> </span></span></div><div class="t m0 x3 h7 y4e ff4 fs0 fc0 sc0 ls1 ws2">\u2022 <span class="_d blank"> </span><span class="ff5 ws3">\u2211\ue728</span></div><div class="t m0 xa h8 y4f ff5 fs4 fc0 sc0 lsc">\uebec<span class="fs0 ls1 ws4 v1">= 0 \u2192 \ue738</span></div><div class="t m0 x14 h8 y4f ff5 fs4 fc0 sc0 lsd">\uebba<span class="fs0 ls1 ws5 v1">+ \ue738</span></div><div class="t m0 x10 h8 y4f ff5 fs4 fc0 sc0 ls7">\uebbb<span class="fs0 ls1 wse v1">\u2212<span class="_f blank"> </span>2\ue747\ue730 /\ue749 .<span class="_8 blank"> </span>4\ue749<span class="_5 blank"> </span>=<span class="_e blank"> </span>0<span class="_e blank"> </span>\u2192<span class="_5 blank"> </span>\ue738</span></div><div class="t m0 x15 h8 y4f ff5 fs4 fc0 sc0 lse">\uebba<span class="fs0 ls1 ws6 v1">=<span class="_e blank"> </span>8<span class="_f blank"> </span>+<span class="_f blank"> </span>1<span class="_e blank"> </span>=<span class="_5 blank"> </span>9\ue747\ue730<span class="ff1 ws2"> </span></span></div><div class="t m0 x1 h2 y50 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x1 h2 y51 ff1 fs0 fc0 sc0 ls1 ws2"> <span class="_0 blank"> </span>Terceiro passo: traçado dos diagramas. </div><div class="t m0 x1 h2 y52 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x16 h2 y53 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x17 h2 y54 ff1 fs0 fc0 sc0 ls1 ws2">DEN </div><div class="t m0 x18 h2 y55 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x16 h2 y56 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x17 h2 y57 ff1 fs0 fc0 sc0 ls1 ws2">DEC </div><div class="t m0 x18 h2 y58 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div> <div id="pf5" class="pf w0 h0" data-page-no="5"><div class="pc pc5 w0 h0"><img fetchpriority="low" loading="lazy" class="bi x0 y0 w1 h1" alt="" src="https://files.passeidireto.com/c7679c61-e0ca-4ec3-855c-eb679827cb82/bg5.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls1 ws2">5 </div><div class="c x1 y3 w2 h3"><div class="t m0 x0 h2 y4 ff1 fs0 fc0 sc0 ls1 ws2"> </div></div><div class="t m0 x12 h2 y59 ff1 fs0 fc0 sc0 ls1 ws2"> </div><div class="t m0 x17 h2 y5a ff1 fs0 fc0 sc0 ls1 ws2">DMF </div></div><div class="pi" data-data='{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}'></div></div>
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