<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/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg1.png"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0">RESISTÊNCIA</div><div class="t m0 x2 h2 y2 ff1 fs0 fc0 sc0 ls0 ws0">DOS MATERIAIS</div><div class="t m0 x3 h2 y3 ff1 fs0 fc0 sc0 ls0">APLICADA</div><div class="t m0 x4 h3 y4 ff2 fs1 fc0 sc0 ls0 ws0">Douglas Andrini Edmundo</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 h4" data-page-no="2"><div class="pc pc2 w0 h4"><img class="bi x5 y5 w2 h5" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg2.png"><div class="t m0 x6 h6 y6 ff3 fs2 fc1 sc0 ls0 ws0">R42<span class="blank _0"></span>9 <span class="blank _1"> </span>Resistência dos materiais aplicada [recurso e<span class="blank _2"> </span>letrônico] / </div><div class="t m0 x7 h6 y7 ff3 fs2 fc1 sc0 ls1 ws0">Organiza<span class="blank _2"> </span>dor, Douglas Andrini Edmundo. \u2013 Por<span class="blank _2"> </span>to Alegre : </div><div class="t m0 x7 h6 y8 ff3 fs2 fc1 sc0 ls2 ws1">SAGAH,<span class="blank _2"> </span> 20<span class="blank _0"></span>1<span class="blank _0"></span>6.</div><div class="t m0 x7 h6 y9 ff3 fs2 fc1 sc0 ls0 ws0">Editado como li<span class="blank _2"> </span>vro impresso em 20<span class="blank _0"></span>1<span class="blank _0"></span>6. </div><div class="t m0 x7 h6 ya ff3 fs2 fc1 sc0 ls3 ws2">ISB<span class="blank _2"> </span>N<span class="blank _2"> </span> 978<span class="blank _3"> </span>-<span class="blank _2"> </span>85<span class="blank _3"> </span>-<span class="blank _2"> </span>6<span class="blank _2"> </span>972<span class="blank _2"> </span>6<span class="blank _2"> </span>-<span class="blank _3"> </span>85<span class="blank _2"> </span>-2</div><div class="t m0 x7 h6 yb ff3 fs2 fc1 sc0 ls0 ws0">1<span class="blank _0"></span>. Engenharia. 2. Resistência de materiais. I. Edmund<span class="blank _2"> </span>o, </div><div class="t m0 x7 h6 yc ff3 fs2 fc1 sc0 ls0 ws0">Douglas An<span class="blank _2"> </span>drini.</div><div class="t m0 x8 h6 yd ff3 fs2 fc1 sc0 ls4 ws3">CDU 620.<span class="blank _0"></span>1<span class="blank _4"></span>72.2<span class="blank _2"> </span>2</div><div class="t m0 x9 h6 ye ff3 fs2 fc1 sc0 ls0 ws0">Catalo<span class="blank _2"> </span>gação na p<span class="blank _2"> </span>ublicaç<span class="blank _2"> </span>ão: Poliana Sanchez d<span class="blank _2"> </span>e Araujo \u2013 CRB 1<span class="blank _0"></span>0/2094</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 h4" data-page-no="3"><div class="pc pc3 w0 h4"><img fetchpriority="low" loading="lazy" class="bi xa yf w3 h7" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg3.png"><div class="t m0 xa h8 y10 ff4 fs3 fc2 sc0 lsb ws7">Análise dos estados pl<span class="blank _2"> </span>anos </div><div class="t m0 xa h8 y11 ff4 fs3 fc2 sc0 lsc ws8">de te<span class="blank _2"> </span>nsão</div><div class="t m0 xb h9 y12 ff5 fs4 fc2 sc0 lsd ws9">Objetivos de aprendizage<span class="blank _2"> </span>m</div><div class="t m0 xc ha y13 ff6 fs5 fc3 sc0 ls0 wsa">Ao final de<span class="blank _0"></span>ste t<span class="blank _0"></span>ex<span class="blank _2"> </span>to<span class="blank _0"></span>, você de<span class="blank _0"></span>ve apr<span class="blank _0"></span>esen<span class="blank _0"></span>tar os segui<span class="blank _0"></span>nt<span class="blank _0"></span>es apr<span class="blank _0"></span>endizados:</div><div class="t m0 xd ha y14 ff6 fs5 fc4 sc0 ls0 ws0"> <span class="blank _5"></span><span class="ff7 ls5">\ue684<span class="ff6 fc3 ls0">Anal<span class="blank _0"></span>isar o estado plano de t<span class="blank _0"></span>ensões em u<span class="blank _0"></span>m corpo.</span></span></div><div class="t m0 xd ha y15 ff6 fs5 fc4 sc0 ls0 ws0"> <span class="blank _5"></span><span class="ff7 ls5">\ue684<span class="ff6 fc3 ls0 wsb">Aplicar a<span class="blank _0"></span>s equações de tran<span class="blank _0"></span>sformação de te<span class="blank _0"></span>nsões no estado</span></span></div><div class="t m0 xe ha y16 ff6 fs5 fc3 sc0 ls0 ws0">plano de t<span class="blank _0"></span>ensões.</div><div class="t m0 xd ha y17 ff6 fs5 fc4 sc0 ls0 ws0"> <span class="blank _5"></span><span class="ff7 ls5">\ue684<span class="ff6 fc3 ls0 wsc">Resolver as tra<span class="blank _0"></span>nsformaç<span class="blank _0"></span>ões de ten<span class="blank _0"></span>sões com a apl<span class="blank _0"></span>icação da abor<span class="blank _0"></span>-</span></span></div><div class="t m0 xe ha y18 ff6 fs5 fc3 sc0 ls0 ws0">dagem alt<span class="blank _0"></span>erna<span class="blank _0"></span>tiva do cír<span class="blank _0"></span>cu<span class="blank _0"></span>lo de Mohr<span class="blank _0"></span>.</div><div class="t m0 xa h9 y19 ff5 fs4 fc2 sc0 lse ws4">Introduçã<span class="blank _0"></span>o</div><div class="t m0 xc ha y1a ff6 fs5 fc3 sc0 ls0 wsd">O estudo do estado plano de ten<span class="blank _0"></span>sões em um c<span class="blank _0"></span>orpo auxilia<span class="blank _0"></span>rá no en-</div><div class="t m0 xc ha y1b ff6 fs5 fc3 sc0 ls0 wse">tend<span class="blank _0"></span>imen<span class="blank _0"></span>to d<span class="blank _0"></span>a anál<span class="blank _0"></span>ise do c<span class="blank _0"></span>omportamento do<span class="blank _0"></span>s elemen<span class="blank _0"></span>to<span class="blank _0"></span>s estruturais </div><div class="t m0 xc ha y1c ff6 fs5 fc3 sc0 ls0 wsf">e da di<span class="blank _0"></span>stribuição de te<span class="blank _0"></span>nsões para cada tipo de carrega<span class="blank _0"></span>ment<span class="blank _0"></span>o. As for<span class="blank _6"></span>-</div><div class="t m0 xc ha y1d ff6 fs5 fc3 sc0 ls0 ws10">ças quando a<span class="blank _6"></span>plicadas a um c<span class="blank _6"></span>or<span class="blank _2"> </span>po provocam t<span class="blank _6"></span>ensões que solicitam o </div><div class="t m0 xc ha y1e ff6 fs5 fc3 sc0 ls0 ws11">mat<span class="blank _6"></span>erial de dive<span class="blank _6"></span>r<span class="blank _2"> </span>sas manei<span class="blank _0"></span>ras que afe<span class="blank _0"></span>tam o equil<span class="blank _6"></span>í<span class="blank _2"> </span>brio e a estabilidade </div><div class="t m0 xc ha y1f ff6 fs5 fc3 sc0 ls0 ws0">de um elemen<span class="blank _6"></span>to estrutural. </div><div class="t m0 xf ha y20 ff6 fs5 fc3 sc0 ls0 ws12">Neste capítulo<span class="blank _6"></span>, você vai estudar o e<span class="blank _0"></span>stado plano de ten<span class="blank _6"></span>sõ<span class="blank _2"> </span>es em um </div><div class="t m0 xc ha y21 ff6 fs5 fc3 sc0 ls0 ws13">corpo, a<span class="blank _6"></span>plicar as equações de tran<span class="blank _6"></span>s<span class="blank _2"> </span>formação de te<span class="blank _6"></span>nsões e resolvê-<span class="blank _2"> </span>las </div><div class="t m0 xc ha y22 ff6 fs5 fc3 sc0 ls0 ws0">com a a<span class="blank _0"></span>plicação do cír<span class="blank _6"></span>culo de Mohr<span class="blank _6"></span>.</div><div class="t m0 xa hb y23 ff4 fs4 fc2 sc0 lsf ws14">Estado pl<span class="blank _2"> </span>ano de tensão</div><div class="t m0 xa hc y24 ff8 fs5 fc2 sc0 ls10 ws15">V<span class="blank _4"></span>ocê d<span class="blank _2"> </span>eve saber que a<span class="blank _2"> </span>o an<span class="blank _2"> </span>ali<span class="blank _2"> </span>sa<span class="blank _2"> </span>r um eleme<span class="blank _2"> </span>nto cúbico de u<span class="blank _2"> </span>m cor<span class="blank _3"> </span>po, o est<span class="blank _2"> </span>ado d<span class="blank _2"> </span>e </div><div class="t m0 xa hc y25 ff8 fs5 fc2 sc0 ls10 ws16">ten<span class="blank _2"> </span>sõe<span class="blank _2"> </span>s em u<span class="blank _2"> </span>m pont<span class="blank _2"> </span>o Q qua<span class="blank _2"> </span>lquer po<span class="blank _2"> </span>de ser r<span class="blank _2"> </span>epr<span class="blank _2"> </span>esent<span class="blank _2"> </span>a<span class="blank _2"> </span>do de ma<span class="blank _2"> </span>nei<span class="blank _2"> </span>ra m<span class="blank _2"> </span>ais ger<span class="blank _2"> </span>al </div><div class="t m0 xa hc y26 ff8 fs5 fc2 sc0 ls10 ws15">at<span class="blank _2"> </span>ravés de seis comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s. Q<span class="blank _2"> </span>ue são eles: tr<span class="blank _2"> </span>ês comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s de te<span class="blank _2"> </span>nsã<span class="blank _2"> </span>o nor<span class="blank _2"> </span>ma<span class="blank _2"> </span>l </div><div class="t m0 xa hc y27 ff8 fs5 fc2 sc0 ls10 ws9">que at<span class="blank _2"> </span>u<span class="blank _2"> </span>am n<span class="blank _2"> </span>as fa<span class="blank _2"> </span>ces do eleme<span class="blank _2"> </span>nto no ponto Q, <span class="ff9 ls6">\u03c3<span class="ffa fs6 ls7 v1">x</span><span class="ls11 ws17">,<span class="blank _3"> </span> <span class="blank _6"></span>\u03c3<span class="blank _3"> </span><span class="ffa fs6 ls0 v1">y</span></span></span></div><div class="t m0 x10 hc y27 ff8 fs5 fc2 sc0 ls10 ws9"> e <span class="ff9 ls8">\u03c3<span class="ffa fs6 ls0 ws5 v1">z<span class="ff8 ws0"> </span></span></span></div><div class="t m0 x11 hc y27 ff8 fs5 fc2 sc0 ls10 ws9">out<span class="blank _2"> </span>ra<span class="blank _2"> </span>s t<span class="blank _2"> </span>rês c<span class="blank _2"> </span>omponent<span class="blank _2"> </span>es </div><div class="t m0 xa hc y28 ff8 fs5 fc2 sc0 ls10 ws18">de te<span class="blank _2"> </span>nsã<span class="blank _2"> </span>o de cisal<span class="blank _2"> </span>h<span class="blank _2"> </span>ame<span class="blank _2"> </span>nto no mesmo element<span class="blank _2"> </span>o, <span class="ff9 ls9">\u03c4<span class="ffa fs6 ls12 ws6 v1">xy</span></span></div><div class="t m0 x12 hd y28 ff9 fs5 fc2 sc0 ls10 ws19">, \u03c4<span class="blank _3"> </span><span class="ffa fs6 ls13 v1">yz</span></div><div class="t m0 x13 hc y28 ff8 fs5 fc2 sc0 ls10 ws18"> e <span class="ff9 lsa">\u03c4<span class="ffa fs6 ls14 v1">zx</span></span></div><div class="t m0 x14 hc y28 ff8 fs5 fc2 sc0 ls10 ws18">. Ao tomar o<span class="blank _2"> </span>s eixos </div><div class="t m0 xa hc y29 ff8 fs5 fc2 sc0 ls10 ws1c">coorde<span class="blank _2"> </span>na<span class="blank _2"> </span>dos e provocar u<span class="blank _2"> </span>ma rot<span class="blank _2"> </span>a<span class="blank _2"> </span>ção e<span class="blank _2"> </span>m relação a p<span class="blank _2"> </span>osição i<span class="blank _2"> </span>n<span class="blank _2"> </span>icial, esse me<span class="blank _2"> </span>smo </div><div class="t m0 xa hc y2a ff8 fs5 fc2 sc0 ls10 ws1d">est<span class="blank _2"> </span>a<span class="blank _2"> </span>do de te<span class="blank _2"> </span>nsõe<span class="blank _2"> </span>s ser<span class="blank _2"> </span>á re<span class="blank _2"> </span>pres<span class="blank _2"> </span>ent<span class="blank _2"> </span>ado p<span class="blank _2"> </span>or u<span class="blank _2"> </span>m nov<span class="blank _6"></span>o conju<span class="blank _2"> </span>nto de comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s de </div><div class="t m0 xa hc y2b ff8 fs5 fc2 sc0 ls10 ws0">ten<span class="blank _2"> </span>sã<span class="blank _2"> </span>o nor<span class="blank _2"> </span>ma<span class="blank _2"> </span>l e de ten<span class="blank _2"> </span>sã<span class="blank _2"> </span>o de cisal<span class="blank _2"> </span>ha<span class="blank _2"> </span>me<span class="blank _2"> </span>nto, vej<span class="blank _6"></span>a n<span class="blank _2"> </span>a F<span class="blank _6"></span>ig<span class="blank _2"> </span>u<span class="blank _2"> </span>r<span class="blank _2"> </span>a 1<span class="blank _6"></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 h4" data-page-no="4"><div class="pc pc4 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x1 y2c w4 he" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg4.png"><div class="t m0 x15 hf y2d ff4 fs7 fc2 sc0 ls0 ws0">Figu<span class="blank _2"> </span>ra 1. <span class="ffb">A<span class="ff6"> e </span><span class="ws1e">B<span class="ff6">.</span></span></span></div><div class="t m0 xa hc y2e ff8 fs5 fc2 sc0 ls0 ws11">V<span class="blank _4"></span>eja na Fi<span class="blank _6"></span>g<span class="blank _3"> </span>ur<span class="blank _2"> </span>a 2 a a<span class="blank _2"> </span>nál<span class="blank _2"> </span>ise do es<span class="blank _2"> </span>ta<span class="blank _2"> </span>do plano de t<span class="blank _2"> </span>en<span class="blank _2"> </span>sões q<span class="blank _2"> </span>ue t<span class="blank _2"> </span>rat<span class="blank _2"> </span>a d<span class="blank _2"> </span>a t<span class="blank _2"> </span>r<span class="blank _2"> </span>an<span class="blank _2"> </span>sfor<span class="blank _4"></span>-</div><div class="t m0 x1 hc y2f ff8 fs5 fc2 sc0 ls0 wsc">maç<span class="blank _2"> </span>ão de t<span class="blank _2"> </span>ens<span class="blank _2"> </span>ão, no qu<span class="blank _2"> </span>al du<span class="blank _2"> </span>as fa<span class="blank _2"> </span>ces de u<span class="blank _2"> </span>m element<span class="blank _2"> </span>o de vo<span class="blank _6"></span>lu<span class="blank _2"> </span>me es<span class="blank _2"> </span>tã<span class="blank _2"> </span>o liv<span class="blank _2"> </span>re<span class="blank _2"> </span>s </div><div class="t m0 x1 hc y30 ff8 fs5 fc2 sc0 ls0 ws21">de qu<span class="blank _2"> </span>alquer t<span class="blank _2"> </span>en<span class="blank _2"> </span>são at<span class="blank _2"> </span>u<span class="blank _2"> </span>a<span class="blank _2"> </span>r sobre elas. E a<span class="blank _2"> </span>o conside<span class="blank _2"> </span>ra<span class="blank _2"> </span>r o eixo z como pe<span class="blank _2"> </span>r<span class="blank _2"> </span>p<span class="blank _2"> </span>end<span class="blank _2"> </span>i-</div><div class="t m0 x1 hc y31 ff8 fs5 fc2 sc0 ls0 ws22">cula<span class="blank _2"> </span>r a es<span class="blank _2"> </span>sas d<span class="blank _2"> </span>ua<span class="blank _2"> </span>s fac<span class="blank _2"> </span>es po<span class="blank _2"> </span>de-<span class="blank _2"> </span>se d<span class="blank _2"> </span>ize<span class="blank _2"> </span>r que <span class="ff9 ls15">\u03c3</span><span class="ffa fs6 ws0 v1">z <span class="blank _2"> </span></span><span class="ff9 ls19 ws23">=<span class="blank _6"></span> <span class="blank _3"> </span>\u03c4</span></div><div class="t m0 x16 h10 y32 ffa fs6 fc2 sc0 ls1a">zy</div><div class="t m0 x17 hd y31 ff9 fs5 fc2 sc0 ls19 ws23"> <span class="blank _2"> </span>=<span class="blank _6"></span> <span class="blank _3"> </span>\u03c4</div><div class="t m0 x18 h10 y32 ffa fs6 fc2 sc0 ls1b">zx</div><div class="t m0 x19 hc y31 ffa fs5 fc2 sc0 ls0 ws22"> =<span class="ff8"> 0, rest<span class="blank _2"> </span>a<span class="blank _2"> </span>ndo apen<span class="blank _2"> </span>as </span></div><div class="t m0 x1 hc y33 ff8 fs5 fc2 sc0 ls0 ws0">as comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s <span class="ff9 ls16">\u03c3<span class="ffa fs6 ls17 v1">x</span><span class="ls0">, \u03c3<span class="blank _3"> </span><span class="ffa fs6 ws5 v1">y</span></span></span> e <span class="ff9 ls18">\u03c4<span class="ffa fs6 ls1c ws1f v1">xy</span></span></div><div class="t m0 x1a hc y33 ff8 fs5 fc2 sc0 ls0">,</div><div class="t m0 x1b h11 y34 ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 2<span class="blank _2"> </span>.</div><div class="t m0 x1c hf y35 ff4 fs7 fc3 sc0 ls1e ws20">101<span class="blank _7"></span><span class="ff6 ls0 ws27">Análise dos e<span class="blank _2"> </span>sta<span class="blank _2"> </span>dos plan<span class="blank _2"> </span>os de tensã<span class="blank _2"> </span>o</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="pf5" class="pf w0 h4" data-page-no="5"><div class="pc pc5 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x0 y36 w4 h12" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg5.png"><div class="t m0 x1d h11 y37 ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 3.</div><div class="t m0 xc hc y38 ff8 fs5 fc2 sc0 ls0 ws29">Saiba que e<span class="blank _2"> </span>ssa con<span class="blank _2"> </span>f<span class="blank _2"> </span>ig<span class="blank _2"> </span>u<span class="blank _2"> </span>r<span class="blank _2"> </span>açã<span class="blank _2"> </span>o de te<span class="blank _2"> </span>nsõ<span class="blank _2"> </span>es oc<span class="blank _2"> </span>or<span class="blank _2"> </span>re qu<span class="blank _2"> </span>a<span class="blank _2"> </span>ndo u<span class="blank _2"> </span>ma placa mu<span class="blank _2"> </span>ito </div><div class="t m0 xa hc y39 ff8 fs5 fc2 sc0 ls0 ws2a">f<span class="blank _2"> </span>i<span class="blank _2"> </span>na é s<span class="blank _2"> </span>ubmet<span class="blank _2"> </span>ida a ca<span class="blank _2"> </span>rga<span class="blank _2"> </span>s at<span class="blank _2"> </span>u<span class="blank _2"> </span>ante<span class="blank _2"> </span>s no plano méd<span class="blank _2"> </span>io da e<span class="blank _2"> </span>spe<span class="blank _2"> </span>ssu<span class="blank _2"> </span>r<span class="blank _2"> </span>a, q<span class="blank _2"> </span>ue você vai </div><div class="t m0 xa hc y3a ff8 fs5 fc2 sc0 ls0 ws1c">encont<span class="blank _2"> </span>r<span class="blank _2"> </span>a<span class="blank _2"> </span>r ta<span class="blank _2"> </span>mbé<span class="blank _2"> </span>m na sup<span class="blank _2"> </span>er<span class="blank _2"> </span>f<span class="blank _2"> </span>ície liv<span class="blank _2"> </span>re de elemento e<span class="blank _2"> </span>st<span class="blank _2"> </span>r<span class="blank _3"> </span>ut<span class="blank _2"> </span>u<span class="blank _2"> </span>rai<span class="blank _2"> </span>s e compone<span class="blank _2"> </span>ntes </div><div class="t m0 xa hc y3b ff8 fs5 fc2 sc0 ls0 ws2b">de má<span class="blank _2"> </span>qui<span class="blank _2"> </span>n<span class="blank _2"> </span>as, ou seja<span class="blank _2"> </span>, qu<span class="blank _2"> </span>alquer po<span class="blank _2"> </span>nto da s<span class="blank _2"> </span>upe<span class="blank _2"> </span>r<span class="blank _2"> </span>f<span class="blank _2"> </span>ície livr<span class="blank _2"> </span>e de u<span class="blank _2"> </span>m elemento </div><div class="t m0 xa hc y3c ff8 fs5 fc2 sc0 ls0 ws0">qua<span class="blank _2"> </span>ndo su<span class="blank _2"> </span>bmet<span class="blank _2"> </span>idos a forças exte<span class="blank _2"> </span>r<span class="blank _2"> </span>n<span class="blank _2"> </span>as.</div><div class="t m0 xc h11 y3d ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 4<span class="blank _2"> </span>.</div><div class="t m0 x1e h6 y3e ff6 fs2 fc2 sc0 ls0 ws0"> </div><div class="t m0 x1f h11 y3d ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 5.</div><div class="t m0 xc hc y3f ff8 fs5 fc2 sc0 ls0 ws2c">Lembr<span class="blank _2"> </span>e-<span class="blank _2"> </span>se que a<span class="blank _2"> </span>s ten<span class="blank _2"> </span>sõe<span class="blank _2"> </span>s de cisal<span class="blank _2"> </span>h<span class="blank _2"> </span>ame<span class="blank _2"> </span>nto são ig<span class="blank _2"> </span>u<span class="blank _2"> </span>ais qu<span class="blank _2"> </span>a<span class="blank _2"> </span>ndo at<span class="blank _2"> </span>u<span class="blank _2"> </span>am no </div><div class="t m0 xa hc y40 ff8 fs5 fc2 sc0 ls0 ws0">mesmo plano ca<span class="blank _2"> </span>r<span class="blank _3"> </span>tesia<span class="blank _2"> </span>no<span class="blank _6"></span>:</div><div class="t m0 x20 hf y35 ff6 fs7 fc3 sc0 ls0 ws2d">Resistênc<span class="blank _2"> </span>ia dos materiais aplic<span class="blank _2"> </span>ada<span class="blank _8"></span><span class="ff4 ls1e ws28">102</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="pf6" class="pf w0 h4" data-page-no="6"><div class="pc pc6 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x21 y41 w5 h13" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg6.png"><div class="t m0 xa hc y42 ff8 fs5 fc2 sc0 ls0 ws1d">V<span class="blank _4"></span>eja na Fi<span class="blank _6"></span>g<span class="blank _3"> </span>ur<span class="blank _2"> </span>a 6 ao a<span class="blank _2"> </span>na<span class="blank _2"> </span>lisa<span class="blank _2"> </span>r o p<span class="blank _2"> </span>onto Q pa<span class="blank _2"> </span>ra u<span class="blank _2"> </span>m es<span class="blank _2"> </span>ta<span class="blank _2"> </span>do plano de t<span class="blank _2"> </span>en<span class="blank _2"> </span>são e </div><div class="t m0 x1 hc y43 ff8 fs5 fc2 sc0 lse ws32">considera<span class="blank _2"> </span>ndo <span class="ff9 ls1f">\u03c3<span class="ffa fs6 ls20 v1">z</span><span class="ls23 ws33 v0"> <span class="blank _2"> </span>= \u03c4<span class="ffa fs6 ls1b v1">zx</span></span></span></div><div class="t m0 x22 hd y44 ff9 fs5 fc2 sc0 ls23 ws33"> <span class="blank _2"> </span>=<span class="blank _6"></span> <span class="blank _2"> </span>\u03c4<span class="blank _2"> </span><span class="ffa fs6 ls1c ws1f v1">xy</span></div><div class="t m0 x1a hc y44 ffa fs5 fc2 sc0 ls0 ws34"> =<span class="ff8"> 0, e ta<span class="blank _2"> </span>mbém se<span class="blank _2"> </span>ndo def<span class="blank _2"> </span>i<span class="blank _2"> </span>n<span class="blank _2"> </span>ido pelas comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s </span></div><div class="t m0 x1 hc y45 ff8 fs5 fc2 sc0 ls0 ws0">de te<span class="blank _2"> </span>nsã<span class="blank _2"> </span>o nor<span class="blank _2"> </span>ma<span class="blank _2"> </span>l e de cisal<span class="blank _2"> </span>h<span class="blank _2"> </span>ame<span class="blank _2"> </span>nto <span class="ff9 ls21">\u03c3<span class="ffa fs6 ls17 v1">x</span><span class="ls0">, \u03c3<span class="blank _2"> </span><span class="ffa fs6 ws5 v1">y</span><span class="ffa"> </span></span></span>e<span class="ff9"> \u03c4<span class="blank _3"> </span><span class="ffa fs6 ls1c ws1f v1">xy</span></span></div><div class="t m0 x23 hc y45 ff8 fs5 fc2 sc0 ls0">,</div><div class="t m0 x24 h11 y46 ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 6<span class="blank _2"> </span>.</div><div class="t m0 xa h14 y47 ffc fs5 fc2 sc0 ls0 ws0">Qu<span class="blank _2"> </span>a<span class="blank _2"> </span>ndo <span class="blank _3"> </span>você <span class="blank _3"> </span>rot<span class="blank _2"> </span>aciona <span class="blank _3"> </span>o <span class="blank _3"> </span>eleme<span class="blank _2"> </span>nto <span class="blank _3"> </span>em <span class="blank _3"> </span>u<span class="blank _2"> </span>m <span class="blank _3"> </span>â<span class="blank _2"> </span>ng<span class="blank _2"> </span>u<span class="blank _2"> </span>lo <span class="blank _3"> </span>\u03b8 <span class="blank _3"> </span>em <span class="blank _3"> </span>t<span class="blank _2"> </span>or<span class="blank _2"> </span>no <span class="blank _3"> </span>do <span class="blank _3"> </span>ei<span class="blank _2"> </span>xo <span class="blank _3"> </span>z, </div><div class="t m0 x1 hc y48 ffc fs5 fc2 sc0 ls0 ws0">su<span class="blank _2"> </span>rgem <span class="blank _2"> </span>compone<span class="blank _2"> </span>ntes <span class="blank _2"> </span>nor<span class="blank _2"> </span>m<span class="blank _2"> </span>al <span class="blank _2"> </span>e de <span class="blank _2"> </span>cisa<span class="blank _2"> </span>lh<span class="blank _2"> </span>ame<span class="blank _2"> </span>nto <span class="blank _2"> </span>\u03c3<span class="ffa fs6 ls24 ws2e v1">x\u2019<span class="blank"> </span></span>, \u03c3<span class="ffa fs6 ls25 ws2f v1">y\u2019<span class="blank"> </span></span><span class="ls26 wse"> <span class="blank _2"> </span>e \u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank _2"> </span>y\u2019<span class="blank _2"> </span></span></span><span class="ff8 ws35"> q<span class="blank _2"> </span>ue você vai de<span class="blank _2"> </span>-</span></div><div class="t m0 x1 hc y49 ff8 fs5 fc2 sc0 ls0 ws0">ter<span class="blank _3"> </span>mi<span class="blank _2"> </span>n<span class="blank _2"> </span>ar e exp<span class="blank _2"> </span>ress<span class="blank _2"> </span>ar c<span class="blank _2"> </span>ad<span class="blank _2"> </span>a u<span class="blank _2"> </span>m em t<span class="blank _2"> </span>er<span class="blank _2"> </span>mos d<span class="blank _2"> </span>e <span class="ff9 ls22">\u03c3<span class="ffa fs6 ls17 v1">x</span><span class="ls0">, \u03c3<span class="blank _2"> </span><span class="ffa fs6 ws5 v1">y</span> e \u03c4<span class="blank _2"> </span><span class="ffa fs6 ls1c ws1f v1">xy</span></span></span></div><div class="t m0 x18 hc y49 ff8 fs5 fc2 sc0 ls0">.</div><div class="t m0 x24 h11 y4a ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 7<span class="blank _6"></span>.</div><div class="t m0 x1c hf y35 ff4 fs7 fc3 sc0 ls1e ws31">103<span class="blank _7"></span><span class="ff6 ls0 ws27">Análise dos e<span class="blank _2"> </span>sta<span class="blank _2"> </span>dos plan<span class="blank _2"> </span>os de tensã<span class="blank _2"> </span>o</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="pf7" class="pf w0 h4" data-page-no="7"><div class="pc pc7 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x0 y4b w6 h15" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg7.png"><div class="t m0 xc hc y42 ff8 fs5 fc2 sc0 ls0 ws3d">V<span class="blank _4"></span>oce d<span class="blank _2"> </span>eve saber que a t<span class="blank _2"> </span>en<span class="blank _2"> </span>são nor<span class="blank _3"> </span>mal <span class="ff9 ls27">\u03c3</span><span class="ffa fs6 ws5 v1">x</span> e a t<span class="blank _2"> </span>ens<span class="blank _2"> </span>ão de cis<span class="blank _2"> </span>al<span class="blank _2"> </span>ha<span class="blank _2"> </span>mento <span class="ff9 ls28">\u03c4</span><span class="ffa fs6 ws0 v1">x<span class="blank _2"> </span>y </span></div><div class="t m0 xa hc y44 ff8 fs5 fc2 sc0 ls0 ws3e">at<span class="blank _2"> </span>u<span class="blank _2"> </span>am na fa<span class="blank _2"> </span>ce p<span class="blank _2"> </span>er<span class="blank _2"> </span>p<span class="blank _2"> </span>end<span class="blank _2"> </span>icula<span class="blank _2"> </span>r ao ei<span class="blank _2"> </span>xo <span class="ffa ls2a ws36">x\u2019<span class="blank"> </span></span> e par<span class="blank _2"> </span>a dete<span class="blank _2"> </span>r<span class="blank _2"> </span>m<span class="blank _2"> </span>i<span class="blank _2"> </span>na<span class="blank _2"> </span>r o valor dess<span class="blank _2"> </span>as t<span class="blank _2"> </span>en-</div><div class="t m0 xa hc y45 ff8 fs5 fc2 sc0 ls0 ws12">sões<span class="blank _2"> </span>, consider<span class="blank _2"> </span>e u<span class="blank _2"> </span>m elemento pr<span class="blank _2"> </span>ism<span class="blank _2"> </span>ático c<span class="blank _2"> </span>om face<span class="blank _2"> </span>s per<span class="blank _3"> </span>pe<span class="blank _2"> </span>ndicu<span class="blank _2"> </span>lar<span class="blank _2"> </span>es ao<span class="blank _2"> </span>s eixos </div><div class="t m0 xa hc y4c ffa fs5 fc2 sc0 ls0 ws0">x, y<span class="ff8"> e </span><span class="ls2a ws37">x\u2019<span class="blank"> </span></span><span class="ff8">.</span></div><div class="t m0 xc hc y4d ff8 fs5 fc2 sc0 ls0 ws35">Obser<span class="blank _3"> </span>ve na F<span class="blank _6"></span>ig<span class="blank _2"> </span>u<span class="blank _2"> </span>ra 8<span class="blank _2"> </span>, que a ár<span class="blank _2"> </span>ea d<span class="blank _2"> </span>a face i<span class="blank _2"> </span>ncli<span class="blank _2"> </span>na<span class="blank _2"> </span>d<span class="blank _2"> </span>a cor<span class="blank _2"> </span>r<span class="blank _2"> </span>esp<span class="blank _2"> </span>onde a <span class="ff9 ls2b ws38">\u2206A<span class="blank _6"></span><span class="ff8 ls0 ws35">, por<span class="blank _0"></span>-</span></span></div><div class="t m0 xa hc y4e ff8 fs5 fc2 sc0 ls0 ws3f">ta<span class="blank _2"> </span>nto a á<span class="blank _2"> </span>re<span class="blank _2"> </span>a da fa<span class="blank _2"> </span>ce ver<span class="blank _2"> </span>t<span class="blank _2"> </span>ical se<span class="blank _2"> </span>rá <span class="ff9 ws0">\u2206<span class="blank _2"> </span>A <span class="blank _9"> </span>. <span class="blank _3"> </span>c<span class="blank _2"> </span>os\u03b8</span> e a á<span class="blank _2"> </span>rea d<span class="blank _2"> </span>a fa<span class="blank _2"> </span>ce hor<span class="blank _2"> </span>iz<span class="blank _2"> </span>onta<span class="blank _2"> </span>l ser<span class="blank _2"> </span>á </div><div class="t m0 xa h16 y4f ff8 fs5 fc2 sc0 ls0 ws40">igu<span class="blank _2"> </span>al a <span class="ff9 ws0">\u2206<span class="blank _2"> </span>A <span class="blank _3"> </span>. <span class="blank _3"> </span>sen\u03b8<span class="blank _6"></span><span class="ff8 ws40">. Como <span class="ff9 ws0">\u03c3 <span class="blank _3"> </span>= <span class="blank _a"> </span></span><span class="v0">, você pode co<span class="blank _2"> </span>ncluir que a<span class="blank _2"> </span>s forças q<span class="blank _2"> </span>ue at<span class="blank _2"> </span>ua<span class="blank _2"> </span>m </span></span></span></div><div class="t m0 xa hc y50 ff8 fs5 fc2 sc0 ls0 ws41">nas f<span class="blank _2"> </span>ace<span class="blank _2"> </span>s incli<span class="blank _2"> </span>na<span class="blank _2"> </span>d<span class="blank _2"> </span>a, ver<span class="blank _3"> </span>tical e hor<span class="blank _2"> </span>i<span class="blank _2"> </span>zont<span class="blank _2"> </span>al sã<span class="blank _2"> </span>o as qu<span class="blank _2"> </span>e est<span class="blank _2"> </span>ão de<span class="blank _2"> </span>monst<span class="blank _2"> </span>r<span class="blank _2"> </span>a<span class="blank _2"> </span>da<span class="blank _2"> </span>s na </div><div class="t m0 xa hc y51 ff8 fs5 fc2 sc0 ls0 ws42">F<span class="blank _6"></span>ig<span class="blank _2"> </span>u<span class="blank _2"> </span>r<span class="blank _2"> </span>a 9<span class="blank _6"></span>. Nas face<span class="blank _2"> </span>s t<span class="blank _2"> </span>r<span class="blank _2"> </span>iang<span class="blank _2"> </span>u<span class="blank _2"> </span>la<span class="blank _2"> </span>s não se<span class="blank _2"> </span>rã<span class="blank _2"> </span>o con<span class="blank _2"> </span>sidera<span class="blank _2"> </span>da<span class="blank _2"> </span>s forças dev<span class="blank _2"> </span>ido às p<span class="blank _2"> </span>re-</div><div class="t m0 xa hc y52 ff8 fs5 fc2 sc0 ls0 ws0">mis<span class="blank _2"> </span>sas d<span class="blank _2"> </span>o est<span class="blank _2"> </span>ad<span class="blank _2"> </span>o plano de te<span class="blank _2"> </span>nsã<span class="blank _2"> </span>o.</div><div class="t m0 x5 h11 y53 ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 8<span class="blank _2"> </span>.</div><div class="t m0 x25 h6 y54 ff6 fs2 fc2 sc0 ls0 ws0"> </div><div class="t m0 x26 h11 y53 ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 9.</div><div class="t m0 xc hc y55 ff8 fs5 fc2 sc0 ls0 ws43">Ao ap<span class="blank _6"></span>l<span class="blank _2"> </span>icar a<span class="blank _2"> </span>s equ<span class="blank _2"> </span>a<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s f<span class="blank _2"> </span>u<span class="blank _2"> </span>nda<span class="blank _2"> </span>ment<span class="blank _2"> </span>ai<span class="blank _2"> </span>s de equ<span class="blank _2"> </span>il<span class="blank _2"> </span>íbr<span class="blank _2"> </span>io na<span class="blank _2"> </span>s comp<span class="blank _2"> </span>onente<span class="blank _2"> </span>s ao </div><div class="t m0 xa hc y56 ff8 fs5 fc2 sc0 ls0 ws0">longo dos eixos <span class="ffa ls2a ws39">x\u2019<span class="blank"> </span></span> e <span class="ffa ls2c ws3a">y\u2019</span>, você t<span class="blank _2"> </span>em:</div><div class="t m0 xc hc y57 ff8 fs5 fc2 sc0 ls0 ws0">Ao resolv<span class="blank _6"></span>er a p<span class="blank _2"> </span>r<span class="blank _2"> </span>imei<span class="blank _2"> </span>r<span class="blank _2"> </span>a equ<span class="blank _2"> </span>aç<span class="blank _2"> </span>ão pa<span class="blank _2"> </span>ra <span class="ff9 ls29">\u03c3<span class="ffa fs6 ls24 ws3b v1">x\u2019<span class="blank"> </span></span></span>:</div><div class="t m0 x20 hf y35 ff6 fs7 fc3 sc0 ls0 ws2d">Resistênc<span class="blank _2"> </span>ia dos materiais aplic<span class="blank _2"> </span>ada<span class="blank _8"></span><span class="ff4 ls1e ws3c">104</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="pf8" class="pf w0 h4" data-page-no="8"><div class="pc pc8 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x27 y58 w7 h17" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg8.png"><div class="t m0 xa hc y42 ff8 fs5 fc2 sc0 ls0 ws0">Ao resolv<span class="blank _6"></span>er a s<span class="blank _2"> </span>eg<span class="blank _2"> </span>und<span class="blank _2"> </span>a e<span class="blank _2"> </span>qua<span class="blank _2"> </span>ção p<span class="blank _2"> </span>ar<span class="blank _2"> </span>a <span class="ff9 ls2d">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank"> </span>y<span class="blank"> </span>\u2019<span class="blank _3"> </span></span></span>:</div><div class="t m0 xa hc y59 ff8 fs5 fc2 sc0 ls0 ws49">Ao ap<span class="blank _6"></span>l<span class="blank _2"> </span>icar a<span class="blank _2"> </span>s ident<span class="blank _2"> </span>ida<span class="blank _2"> </span>des t<span class="blank _2"> </span>r<span class="blank _2"> </span>igonomét<span class="blank _2"> </span>r<span class="blank _2"> </span>icas você po<span class="blank _2"> </span>de simpli<span class="blank _2"> </span>f<span class="blank _2"> </span>ica<span class="blank _2"> </span>r as e<span class="blank _2"> </span>qu<span class="blank _2"> </span>a-</div><div class="t m0 x1 hc y5a ff8 fs5 fc2 sc0 ls35 ws44">ç<span class="blank"> </span>õ<span class="blank"> </span>e<span class="blank"> </span>s:</div><div class="t m0 xa hc y5b ff8 fs5 fc2 sc0 ls0 ws0">Ao reesc<span class="blank _2"> </span>rever a equ<span class="blank _2"> </span>açã<span class="blank _2"> </span>o de <span class="ff9 ls2e">\u03c3<span class="ffa fs6 ls24 ws3b v1">x\u2019<span class="blank"> </span></span></span>:</div><div class="t m0 xa hc y5c ff8 fs5 fc2 sc0 ls0 ws0">Ao reesc<span class="blank _2"> </span>rever ta<span class="blank _2"> </span>mbé<span class="blank _2"> </span>m a equ<span class="blank _2"> </span>açã<span class="blank _2"> </span>o de <span class="ff9 ls2f">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank _2"> </span>y\u2019<span class="blank _3"> </span></span></span>:</div><div class="t m0 xa hc y5d ff8 fs5 fc2 sc0 ls0 ws4a">E par<span class="blank _2"> </span>a obte<span class="blank _2"> </span>r a equ<span class="blank _2"> </span>açã<span class="blank _2"> </span>o d<span class="blank _2"> </span>a ten<span class="blank _2"> </span>sã<span class="blank _2"> </span>o nor<span class="blank _2"> </span>mal <span class="ff9 ls30">\u03c3<span class="ffa fs6 ls25 ws2f v1">y\u2019<span class="blank"> </span></span></span> você deve subst<span class="blank _2"> </span>it<span class="blank _2"> </span>u<span class="blank _2"> </span>ir n<span class="blank _2"> </span>a </div><div class="t m0 x1 hc y5e ff8 fs5 fc2 sc0 ls0 ws21">equ<span class="blank _2"> </span>açã<span class="blank _2"> </span>o de <span class="ff9 ls31">\u03c3<span class="ffa fs6 ls24 ws45 v1">x\u2019<span class="blank"> </span></span></span> o valor do â<span class="blank _2"> </span>ng<span class="blank _2"> </span>ulo <span class="ff9">\u03b8</span> por <span class="ff9 ws0">\u03b8 <span class="blank _2"> </span></span>+ 90<span class="blank _2"> </span>º<span class="blank _6"></span>, que é o â<span class="blank _2"> </span>ng<span class="blank _2"> </span>u<span class="blank _2"> </span>lo form<span class="blank _2"> </span>ado p<span class="blank _2"> </span>elos </div><div class="t m0 x1 hc y5f ff8 fs5 fc2 sc0 ls35 wsf">ei<span class="blank _3"> </span>xo<span class="blank _2"> </span>s <span class="ffa ls0">x<span class="ff8 ws0"> e </span><span class="ls2c ws46">y\u2019<span class="blank"> </span></span><span class="ff8">.</span></span></div><div class="t m0 xa hc y60 ffc fs5 fc2 sc0 ls36 ws4b">Ao consid<span class="blank _2"> </span>er<span class="blank _2"> </span>a<span class="blank _2"> </span>r que<span class="blank _2"> </span> cos (2\u03b8 + 1<span class="blank _4"></span>8<span class="blank _2"> </span>0°) = \u2013 cos 2<span class="ff9 ls0">\u03b8</span> e s<span class="blank _2"> </span>en (2\u03b8 + 1<span class="blank _4"></span>8<span class="blank _2"> </span>0°) = \u2013 sen 2<span class="blank _2"> </span><span class="ff9 ls32">\u03b8<span class="ff8 ls0">:</span></span></div><div class="t m0 xa hc y61 ff8 fs5 fc2 sc0 ls0 ws0">Ao somar os mebr<span class="blank _2"> </span>os d<span class="blank _2"> </span>as eq<span class="blank _2"> </span>ua<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s de <span class="ff9 ls33">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank"> </span>y<span class="blank"> </span>\u2019<span class="blank _3"> </span></span></span><span class="ffa"> </span>e<span class="ff9"> \u03c3<span class="blank _2"> </span><span class="ffa fs6 ls25 ws4c v1">y\u2019<span class="blank _2"> </span> </span></span>,</div><div class="t m0 xa hc y62 ff8 fs5 fc2 sc0 ls0 ws4d">Lembr<span class="blank _2"> </span>e-<span class="blank _2"> </span>se que <span class="ff9 ls34">\u03c3<span class="ffa fs6 ls20 v1">z</span><span class="ls37 ws4e"> <span class="blank _3"> </span>=<span class="blank _6"></span> <span class="blank _3"> </span>\u03c3</span></span></div><div class="t m0 x28 h18 y63 ffa fs6 fc2 sc0 ls38 ws47">z\u2019<span class="blank"> </span><span class="fs5 ls0 ws4d v2"> = <span class="ff8">0, veri<span class="blank _2"> </span>f<span class="blank _2"> </span>ica-s<span class="blank _2"> </span>e que a somat<span class="blank _2"> </span>ór<span class="blank _2"> </span>ia da<span class="blank _2"> </span>s te<span class="blank _2"> </span>nsõ<span class="blank _2"> </span>es nor<span class="blank _6"></span>-</span></span></div><div class="t m0 x1 hc y64 ff8 fs5 fc2 sc0 ls0 ws4f">mais q<span class="blank _2"> </span>ue at<span class="blank _2"> </span>ua<span class="blank _2"> </span>m em u<span class="blank _2"> </span>m eleme<span class="blank _2"> </span>nto sujeito a um e<span class="blank _2"> </span>st<span class="blank _2"> </span>ado pla<span class="blank _2"> </span>no de ten<span class="blank _2"> </span>sõe<span class="blank _2"> </span>s não </div><div class="t m0 x1 hc y65 ff8 fs5 fc2 sc0 ls0 ws0">dep<span class="blank _2"> </span>ende d<span class="blank _2"> </span>a or<span class="blank _2"> </span>ient<span class="blank _2"> </span>açã<span class="blank _2"> </span>o do elemento a<span class="blank _2"> </span>nal<span class="blank _2"> </span>isa<span class="blank _2"> </span>do.</div><div class="t m0 x1c hf y35 ff4 fs7 fc3 sc0 ls1e ws48">10<span class="blank"> </span>5<span class="blank _b"></span><span class="ff6 ls0 ws27">Análise dos e<span class="blank _2"> </span>sta<span class="blank _2"> </span>dos plan<span class="blank _2"> </span>os de tensã<span class="blank _2"> </span>o</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="pf9" class="pf w0 h4" data-page-no="9"><div class="pc pc9 w0 h4"><img fetchpriority="low" loading="lazy" class="bi x0 y66 w8 h19" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bg9.png"><div class="t m0 xa hb y67 ff4 fs4 fc2 sc0 lsf ws14">T<span class="blank _4"></span>ensão máxima de<span class="blank _2"> </span> cisalhamento e tensõ<span class="blank _2"> </span>es </div><div class="t m0 xa hb y68 ff4 fs4 fc2 sc0 lsf ws50">principais</div><div class="t m0 xc hc y69 ff8 fs5 fc2 sc0 ls0 ws54">V<span class="blank _4"></span>ocê d<span class="blank _2"> </span>eve saber que a<span class="blank _2"> </span>s equ<span class="blank _2"> </span>a<span class="blank _2"> </span>ções d<span class="blank _2"> </span>ese<span class="blank _2"> </span>nv<span class="blank _6"></span>olvida<span class="blank _2"> </span>s a<span class="blank _2"> </span>nter<span class="blank _2"> </span>ior<span class="blank _2"> </span>me<span class="blank _2"> </span>nte sã<span class="blank _2"> </span>o equ<span class="blank _2"> </span>a-</div><div class="t m0 xa hc y6a ff8 fs5 fc2 sc0 ls0 ws1d">çõe<span class="blank _2"> </span>s par<span class="blank _2"> </span>a<span class="blank _2"> </span>mét<span class="blank _2"> </span>r<span class="blank _2"> </span>icas de u<span class="blank _2"> </span>m<span class="blank _2"> </span>a cir<span class="blank _2"> </span>cu<span class="blank _2"> </span>nfer<span class="blank _2"> </span>ência<span class="blank _2"> </span>, ou seja, sã<span class="blank _2"> </span>o for<span class="blank _2"> </span>mas d<span class="blank _2"> </span>e rep<span class="blank _2"> </span>rese<span class="blank _2"> </span>nta<span class="blank _2"> </span>r </div><div class="t m0 xa hc y6b ff8 fs5 fc2 sc0 ls0 ws55">u<span class="blank _2"> </span>ma ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferência at<span class="blank _2"> </span>r<span class="blank _2"> </span>avés de um p<span class="blank _2"> </span>ar<span class="blank _2"> </span>âme<span class="blank _2"> </span>t<span class="blank _2"> </span>ro, sign<span class="blank _2"> </span>if<span class="blank _2"> </span>ica que u<span class="blank _2"> </span>m<span class="blank _2"> </span>a var<span class="blank _2"> </span>iável irá </div><div class="t m0 xa hc y6c ff8 fs5 fc2 sc0 ls0 ws0">faz<span class="blank _2"> </span>er a l<span class="blank _2"> </span>igação de d<span class="blank _2"> </span>ua<span class="blank _2"> </span>s equ<span class="blank _2"> </span>aç<span class="blank _2"> </span>ões q<span class="blank _2"> </span>ue per<span class="blank _3"> </span>tenc<span class="blank _2"> </span>em a u<span class="blank _2"> </span>m mesm<span class="blank _2"> </span>a ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferência<span class="blank _2"> </span>.</div><div class="t m0 xc hc y6d ff8 fs5 fc2 sc0 ls0 ws56">Se você adot<span class="blank _2"> </span>ar a<span class="blank _2"> </span>s eq<span class="blank _2"> </span>ua<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s da t<span class="blank _2"> </span>en<span class="blank _2"> </span>são nor<span class="blank _3"> </span>mal <span class="ff9 ls28">\u03c3</span><span class="ffa fs6 ws5 v1">x</span><span class="v0"> e de cisa<span class="blank _2"> </span>l<span class="blank _2"> </span>hame<span class="blank _2"> </span>nto <span class="ff9 ls39">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank _2"> </span>y\u2019<span class="blank _3"> </span></span></span><span class="ws0"> </span></span></div><div class="t m0 xa hc y6e ff8 fs5 fc2 sc0 ls0 ws57">e cons<span class="blank _2"> </span>t<span class="blank _2"> </span>r<span class="blank _2"> </span>u<span class="blank _2"> </span>i<span class="blank _2"> </span>r<span class="blank _2"> </span>u<span class="blank _2"> </span>m siste<span class="blank _2"> </span>ma de ei<span class="blank _2"> </span>xos or<span class="blank _2"> </span>togonais<span class="blank _2"> </span>, at<span class="blank _2"> </span>r<span class="blank _2"> </span>ibui<span class="blank _2"> </span>r ao ei<span class="blank _2"> </span>xo da<span class="blank _2"> </span>s abscis<span class="blank _2"> </span>sas a </div><div class="t m0 xa hc y6f ff8 fs5 fc2 sc0 ls41 ws58">tensão n<span class="blank _6"></span>or<span class="blank _2"> </span>mal <span class="ff9 ls3a">\u03c3<span class="ffa fs6 ls0 ws5 v1">x</span></span><span class="ls0 ws55"> e par<span class="blank _2"> </span>a o eixo da<span class="blank _2"> </span>s orden<span class="blank _2"> </span>ad<span class="blank _2"> </span>a<span class="blank _2"> </span>s at<span class="blank _2"> </span>r<span class="blank _2"> </span>ibui<span class="blank _2"> </span>r a<span class="blank _2"> </span>s ten<span class="blank _2"> </span>sõe<span class="blank _2"> </span>s de cisal<span class="blank _2"> </span>h<span class="blank _2"> </span>a-</span></div><div class="t m0 xa h1a y70 ff8 fs5 fc2 sc0 ls0 ws0">mento <span class="blank _2"> </span><span class="ff9 ls3b">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank _2"> </span>y\u2019<span class="blank _2"> </span></span></span><span class="ws3e v0">, c<span class="blank _2"> </span>onsider<span class="blank _2"> </span>and<span class="blank _2"> </span>o ai<span class="blank _2"> </span>nda o â<span class="blank _2"> </span>ng<span class="blank _2"> </span>ulo <span class="ff9">\u03b8</span> como o p<span class="blank _2"> </span>ar<span class="blank _2"> </span>âme<span class="blank _2"> </span>t<span class="blank _2"> </span>ro que fa<span class="blank _2"> </span>rá a l<span class="blank _2"> </span>iga-</span></div><div class="t m0 xa hc y71 ff8 fs5 fc2 sc0 ls0 ws59">çõe<span class="blank _2"> </span>s ent<span class="blank _2"> </span>re a<span class="blank _2"> </span>s dua<span class="blank _2"> </span>s eq<span class="blank _2"> </span>ua<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s sign<span class="blank _2"> </span>if<span class="blank _2"> </span>ica q<span class="blank _2"> </span>ue todos o<span class="blank _2"> </span>s pontos obt<span class="blank _2"> </span>idos pe<span class="blank _2"> </span>r<span class="blank _2"> </span>te<span class="blank _2"> </span>ncer<span class="blank _2"> </span>ão </div><div class="t m0 xa hc y72 ff8 fs5 fc2 sc0 ls0 ws0">a u<span class="blank _2"> </span>ma ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferência<span class="blank _2"> </span>.</div><div class="t m0 xc hc y73 ff8 fs5 fc2 sc0 ls0 ws5a">V<span class="blank _4"></span>eja que ao eli<span class="blank _2"> </span>m<span class="blank _2"> </span>i<span class="blank _2"> </span>na<span class="blank _2"> </span>r <span class="ff9">\u03b8</span> da<span class="blank _2"> </span>s du<span class="blank _2"> </span>as e<span class="blank _2"> </span>qu<span class="blank _2"> </span>açõ<span class="blank _2"> </span>es po<span class="blank _2"> </span>der<span class="blank _2"> </span>á demon<span class="blank _2"> </span>st<span class="blank _2"> </span>ra<span class="blank _2"> </span>r e<span class="blank _2"> </span>ssa pro<span class="blank _2"> </span>-</div><div class="t m0 xa hc y74 ff8 fs5 fc2 sc0 ls0 ws5b">pr<span class="blank _2"> </span>ied<span class="blank _2"> </span>ade, e<span class="blank _2"> </span>m seg<span class="blank _2"> </span>uid<span class="blank _2"> </span>a t<span class="blank _2"> </span>ra<span class="blank _2"> </span>n<span class="blank _2"> </span>spor o t<span class="blank _2"> </span>er<span class="blank _2"> </span>mo <span class="blank _c"> </span><span class="v0"> par<span class="blank _2"> </span>a o pr<span class="blank _2"> </span>i<span class="blank _2"> </span>mei<span class="blank _2"> </span>ro membro</span></div><div class="t m0 xa hc y75 ff8 fs5 fc2 sc0 ls0 ws5c">da e<span class="blank _2"> </span>qu<span class="blank _2"> </span>açã<span class="blank _2"> </span>o e elevar ao qu<span class="blank _2"> </span>ad<span class="blank _2"> </span>r<span class="blank _2"> </span>a<span class="blank _2"> </span>do os dois membros d<span class="blank _2"> </span>a eq<span class="blank _2"> </span>ua<span class="blank _2"> </span>ção d<span class="blank _2"> </span>a t<span class="blank _2"> </span>ens<span class="blank _2"> </span>ão de </div><div class="t m0 xa h1b y76 ff8 fs5 fc2 sc0 ls0 ws0">cisal<span class="blank _2"> </span>ha<span class="blank _2"> </span>ment<span class="blank _2"> </span>o <span class="ff9 ls3c">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank"> </span>y<span class="blank"> </span>\u2019<span class="blank _2"> </span></span></span><span class="v0"> e p<span class="blank _2"> </span>or f<span class="blank _2"> </span>i<span class="blank _2"> </span>m soma<span class="blank _2"> </span>r t<span class="blank _2"> </span>er<span class="blank _2"> </span>mo a t<span class="blank _2"> </span>er<span class="blank _3"> </span>mo da<span class="blank _2"> </span>s du<span class="blank _2"> </span>as e<span class="blank _2"> </span>qua<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s, con<span class="blank _2"> </span>f<span class="blank _2"> </span>i<span class="blank _2"> </span>r<span class="blank _2"> </span>a! </span></div><div class="t m0 xc hc y77 ff8 fs5 fc2 sc0 ls0 ws0">A ten<span class="blank _2"> </span>sã<span class="blank _2"> </span>o méd<span class="blank _2"> </span>ia e o raio d<span class="blank _2"> </span>a ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferâ<span class="blank _2"> </span>n<span class="blank _2"> </span>ica são d<span class="blank _2"> </span>ado<span class="blank _2"> </span>s pelas eq<span class="blank _2"> </span>ua<span class="blank _2"> </span>çõe<span class="blank _2"> </span>s,</div><div class="t m0 xc hc y78 ff8 fs5 fc2 sc0 ls0 ws0">V<span class="blank _4"></span>ocê p<span class="blank _2"> </span>ode re<span class="blank _2"> </span>esc<span class="blank _2"> </span>rever a equ<span class="blank _2"> </span>a<span class="blank _2"> </span>ção d<span class="blank _2"> </span>a ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferência c<span class="blank _2"> </span>omo,</div><div class="t m0 xc hc y79 ff8 fs5 fc2 sc0 ls0 ws5d">V<span class="blank _4"></span>eja a equ<span class="blank _2"> </span>aç<span class="blank _2"> </span>ão que re<span class="blank _2"> </span>pre<span class="blank _2"> </span>sent<span class="blank _2"> </span>a u<span class="blank _2"> </span>ma ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferê<span class="blank _2"> </span>ncia de ra<span class="blank _2"> </span>io R com cent<span class="blank _2"> </span>ro no </div><div class="t m0 xa hc y7a ff8 fs5 fc2 sc0 ls0 ws5e">ponto C, cuja abscis<span class="blank _2"> </span>sa é a te<span class="blank _2"> </span>nsã<span class="blank _2"> </span>o méd<span class="blank _2"> </span>ia <span class="ff9 ls3d">\u03c3<span class="ffa fs6 ls3e ws51 v1">méd</span></span></div><div class="t m0 x29 hc y7b ff8 fs5 fc2 sc0 ls0 ws5e"> e a orden<span class="blank _2"> </span>ad<span class="blank _2"> </span>a 0. Devido a sime<span class="blank _2"> </span>t<span class="blank _2"> </span>r<span class="blank _2"> </span>ia </div><div class="t m0 xa hc y7c ff8 fs5 fc2 sc0 ls0 ws5f">da ci<span class="blank _2"> </span>rc<span class="blank _2"> </span>u<span class="blank _2"> </span>nferê<span class="blank _2"> </span>ncia em rela<span class="blank _2"> </span>ção a<span class="blank _2"> </span>o eixo de hor<span class="blank _2"> </span>iz<span class="blank _2"> </span>ontal p<span class="blank _2"> </span>ode<span class="blank _2"> </span>-se m<span class="blank _2"> </span>ar<span class="blank _2"> </span>car u<span class="blank _2"> </span>m p<span class="blank _2"> </span>onto </div><div class="t m0 xa hc y7d ff8 fs5 fc2 sc0 ls0 ws0">de abscis<span class="blank _2"> </span>sas <span class="ff9 ls3f">\u03c3<span class="ffa fs6 ls24 ws45 v1">x\u2019<span class="blank"> </span></span></span><span class="ffc v0"> e ord<span class="blank _2"> </span>ena<span class="blank _2"> </span>d<span class="blank _2"> </span>a \u2013<span class="blank _2"> </span><span class="ff9 ls40">\u03c4<span class="ffa fs6 ls24 ws52 v1">x\u2019<span class="blank"> </span>y<span class="blank"> </span></span><span class="ff8 ls42">\u2019.</span></span></span></div><div class="t m0 x20 hf y35 ff6 fs7 fc3 sc0 ls0 ws2d">Resistênc<span class="blank _2"> </span>ia dos materiais aplic<span class="blank _2"> </span>ada<span class="blank _8"></span><span class="ff4 ls1e ws53">106</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="pfa" class="pf w0 h4" data-page-no="a"><div class="pc pca w0 h4"><img fetchpriority="low" loading="lazy" class="bi x2a y7e w9 h1c" alt="" src="https://files.passeidireto.com/605ec29b-1f3f-4e78-8f3e-f77e60c4a860/bga.png"><div class="t m0 xa h11 y7f ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 10.</div><div class="t m0 x1e h6 y80 ff6 fs2 fc2 sc0 ls0 ws0"> </div><div class="t m0 x2b h11 y7f ff4 fs7 fc2 sc0 ls1d ws26">Figura<span class="blank _6"></span> 1<span class="blank _6"></span>1<span class="blank _6"></span>.</div><div class="t m0 xa hc y81 ff8 fs5 fc2 sc0 ls0 ws65">Como os pont<span class="blank _2"> </span>os A e B onde a ci<span class="blank _2"> </span>rcu<span class="blank _2"> </span>n<span class="blank _2"> </span>ferência c<span class="blank _2"> </span>r<span class="blank _2"> </span>u<span class="blank _2"> </span>z<span class="blank _2"> </span>a com o ei<span class="blank _2"> </span>xo das abs<span class="blank _2"> </span>-</div><div class="t m0 x1 hc y82 ff8 fs5 fc2 sc0 ls0 ws66">cissa<span class="blank _2"> </span>s re<span class="blank _2"> </span>prese<span class="blank _2"> </span>nta<span class="blank _2"> </span>m g<span class="blank _2"> </span>r<span class="blank _2"> </span>ande i<span class="blank _2"> </span>mp<span class="blank _2"> </span>or<span class="blank _2"> </span>t<span class="blank _2"> </span>ân<span class="blank _2"> </span>cia, o p<span class="blank _2"> </span>onto A se refere ao va<span class="blank _2"> </span>lor máx<span class="blank _2"> </span>i<span class="blank _2"> </span>mo </div><div class="t m0 x1 hc y83 ff8 fs5 fc2 sc0 ls0 ws22">da t<span class="blank _2"> </span>en<span class="blank _2"> </span>são nor<span class="blank _3"> </span>mal <span class="ff9 ls43">\u03c3<span class="ffa fs6 ls24 ws45 v1">x\u2019<span class="blank"> </span></span></span> eo p<span class="blank _2"> </span>onto B se refere a<span class="blank _2"> </span>o valor mí<span class="blank _2"> </span>n<span class="blank _2"> </span>imo d<span class="blank _2"> </span>a t<span class="blank _2"> </span>en<span class="blank _2"> </span>são nor<span class="blank _3"> </span>mal </div><div class="t m0 x1 hc y84 ff9 fs5 fc2 sc0 ls44">\u03c3<span class="ffa fs6 ls24 ws45 v1">x\u2019<span class="blank"> </span></span><span class="ff8 ls0 ws67"> e como amb<span class="blank _2"> </span>os os pont<span class="blank _2"> </span>os est<span class="blank _2"> </span>ão s<span class="blank _2"> </span>obre o eixo hor<span class="blank _2"> </span>iz<span class="blank _2"> </span>onta<span class="blank _2"> </span>l a ten<span class="blank _2"> </span>são d<span class="blank _2"> </span>e cisal<span class="blank _2"> </span>ha-</span></div><div class="t m0 x1 hc y85 ff8 fs5 fc2 sc0 ls0 ws0">mento <span class="blank _2"> </span><span class="ff9 ls45">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank"> </span>y<span class="blank"> </span>\u2019<span class="blank _3"> </span></span></span><span class="ws68"> cor<span class="blank _2"> </span>re<span class="blank _2"> </span>sponde<span class="blank _2"> </span>nte é nulo. Saiba que des<span class="blank _2"> </span>sa for<span class="blank _2"> </span>ma<span class="blank _2"> </span>, os valores de <span class="ff9 ls26 ws61">\u03b8p</span> do </span></div><div class="t m0 x1 h14 y86 ffc fs5 fc2 sc0 ls0 ws0">par<span class="blank _2"> </span>â<span class="blank _2"> </span>met<span class="blank _2"> </span>ro <span class="blank _2"> </span>\u03b8 <span class="blank _2"> </span>que <span class="blank _2"> </span>c<span class="blank _2"> </span>or<span class="blank _2"> </span>re<span class="blank _2"> </span>sponde <span class="blank _2"> </span>a<span class="blank _2"> </span>os <span class="blank _2"> </span>pont<span class="blank _2"> </span>os <span class="blank _2"> </span>A <span class="blank _2"> </span>e <span class="blank _2"> </span>B <span class="blank _2"> </span>po<span class="blank _2"> </span>dem <span class="blank _2"> </span>se<span class="blank _2"> </span>r <span class="blank _2"> </span>obtidos <span class="blank _2"> </span>ig<span class="blank _2"> </span>u<span class="blank _2"> </span>aland<span class="blank _2"> </span>o </div><div class="t m0 x1 hc y87 ff8 fs5 fc2 sc0 ls0 ws0">o valor da t<span class="blank _2"> </span>en<span class="blank _2"> </span>são de cis<span class="blank _2"> </span>al<span class="blank _2"> </span>ha<span class="blank _2"> </span>mento a z<span class="blank _2"> </span>ero <span class="ff9 ls46">\u03c4<span class="ffa fs6 ls24 ws30 v1">x\u2019<span class="blank _2"> </span>y\u2019<span class="blank _3"> </span></span></span><span class="ffc"> = 0.</span></div><div class="t m0 xa hc y88 ff8 fs5 fc2 sc0 ls0 ws69">Out<span class="blank _2"> </span>r<span class="blank _2"> </span>o fator i<span class="blank _2"> </span>mpor<span class="blank _2"> </span>t<span class="blank _2"> </span>a<span class="blank _2"> </span>nte é que at<span class="blank _2"> </span>r<span class="blank _2"> </span>avés dessa e<span class="blank _2"> </span>qu<span class="blank _2"> </span>açã<span class="blank _2"> </span>o você pode det<span class="blank _2"> </span>er<span class="blank _3"> </span>mi<span class="blank _2"> </span>na<span class="blank _2"> </span>r </div><div class="t m0 x1 hc y89 ff8 fs5 fc2 sc0 ls0 ws55">dois valores de 2<span class="ff9 ls26 ws61">\u03b8p</span> com i<span class="blank _2"> </span>nter<span class="blank _3"> </span>valo de 1<span class="blank _4"></span>80<span class="blank _2"> </span>º ou ai<span class="blank _2"> </span>nd<span class="blank _2"> </span>a obter d<span class="blank _2"> </span>ois valores de <span class="ff9 ls26 ws61">\u03b8p</span><span class="ws0"> </span></div><div class="t m0 x1 hc y8a ff8 fs5 fc2 sc0 ls0 ws2a">com i<span class="blank _2"> </span>nter<span class="blank _3"> </span>valo de 90<span class="blank _2"> </span>º<span class="blank _6"></span>. E ai<span class="blank _2"> </span>nda q<span class="blank _2"> </span>ue a or<span class="blank _2"> </span>ient<span class="blank _2"> </span>açã<span class="blank _2"> </span>o dos cubo eleme<span class="blank _2"> </span>nta<span class="blank _2"> </span>r pod<span class="blank _2"> </span>er<span class="blank _2"> </span>á ser </div><div class="t m0 x1 hc y8b ff8 fs5 fc2 sc0 ls0 ws6a">dete<span class="blank _2"> </span>r<span class="blank _2"> </span>m<span class="blank _2"> </span>i<span class="blank _2"> </span>na<span class="blank _2"> </span>da p<span class="blank _2"> </span>or qua<span class="blank _2"> </span>lquer u<span class="blank _2"> </span>m de<span class="blank _2"> </span>sses valore<span class="blank _2"> </span>s cor<span class="blank _2"> </span>r<span class="blank _2"> </span>esp<span class="blank _2"> </span>ondente<span class="blank _2"> </span>s a esse c<span class="blank _2"> </span>ubo. </div><div class="t m0 x1 hc y8c ff8 fs5 fc2 sc0 ls0 ws6b">Dess<span class="blank _2"> </span>a ma<span class="blank _2"> </span>nei<span class="blank _2"> </span>ra a<span class="blank _2"> </span>s face<span class="blank _2"> </span>s do cubo element<span class="blank _2"> </span>a<span class="blank _2"> </span>r def<span class="blank _2"> </span>i<span class="blank _2"> </span>nem os p<span class="blank _2"> </span>ontos pr<span class="blank _2"> </span>i<span class="blank _2"> </span>ncipai<span class="blank _2"> </span>s do </div><div class="t m0 x1 hc y8d ff8 fs5 fc2 sc0 ls0 ws2c">ponto Q e a<span class="blank _2"> </span>s te<span class="blank _2"> </span>nsõe<span class="blank _2"> </span>s nor<span class="blank _2"> </span>m<span class="blank _2"> </span>ais <span class="ff9 ls47">\u03c3<span class="ffa fs6 ls48 ws62 v1">máx</span></span></div><div class="t m0 x2c hc y8d ff8 fs5 fc2 sc0 ls0 ws2c"> e <span class="ff9 ls49">\u03c3<span class="fs6 ls13 ws63 v1">mín</span></span></div><div class="t m0 x2b hc y8d ff8 fs5 fc2 sc0 ls0 ws2c"> que at<span class="blank _2"> </span>u<span class="blank _2"> </span>am ne<span class="blank _2"> </span>sses pla<span class="blank _2"> </span>nos sã<span class="blank _2"> </span>o cha-</div><div class="t m0 x1 hc y8e ff8 fs5 fc2 sc0 ls0 ws0">mad<span class="blank _2"> </span>a<span class="blank _2"> </span>s de te<span class="blank _2"> </span>nsõ<span class="blank _2"> </span>es pr<span class="blank _2"> </span>i<span class="blank _2"> </span>ncipais no p<span class="blank _2"> </span>onto Q.</div><div class="t m0 x1c hf y35 ff4 fs7 fc3 sc0 ls1e ws64">107<span class="blank _7"></span><span class="ff6 ls0 ws27">Análise dos e<span class="blank _2"> </span>sta<span class="blank _2"> </span>dos plan<span class="blank _2"> </span>os de tensã<span class="blank _2"> </span>o</span></div></div><div class="pi" data-data="{"ctm":[1.000000,0.000000,0.000000,1.000000,0.000000,0.000000]}"></div></div>
Compartilhar