{"text_format":"1","workbook":"xlsx","n_sheets":10,"sheets":["Resultados","Linha 1","Linha 2","Linha 3","Linha 4","Linha 5","Linha 6","Antes","Distr. Grampo","Esf. do Grampo"],"not_rendered":{"charts":1,"images":1,"macros":0,"external_links":0,"defined_names":35,"comments":7,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Resultados","index":0,"n_rows":102,"n_cols":68,"rows_kept":102,"cut":false,"hidden":false,"merged":[]}
[]
["Terreno",null,null,null,null,"Você só pode alterar as células azuis.",null,null,null,null,null,null,null,null,null,"F = ",{"$f":"-AA30/Y30","v":0.69520306634822704}," (círculo abaixo, sem grampos)"]
["Pé da contenção",null,"Topo da conteção",null,null,null,null,null,null,null,null,null,null,null,null,"Fr = ",{"$f":"-AA37/Y37","v":0.69520306634822704}," (reforçado com grampos)",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+$D$4","v":15},{"$f":"+$S31","v":0},{"$f":"+$D$4","v":15},{"$f":"+$S32","v":0},{"$f":"+$D$4","v":15},{"$f":"+$S33","v":0},{"$f":"+$D$4","v":15},{"$f":"+$S34","v":0},{"$f":"+$D$4","v":15},{"$f":"+$S35","v":0},{"$f":"+$D$4","v":15},{"$f":"+$S36","v":0}]
["Xp =",15,"Xt =",15,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"AG3-$V31*COS($D$16)","v":15},{"$f":"AH3-$V31*SIN($D$16)","v":0},{"$f":"AI3-$V32*COS($D$16)","v":15},{"$f":"AJ3-$V32*SIN($D$16)","v":0},{"$f":"AK3-$V33*COS($D$16)","v":15},{"$f":"AL3-$V33*SIN($D$16)","v":0},{"$f":"AM3-$V34*COS($D$16)","v":15},{"$f":"AN3-$V34*SIN($D$16)","v":0},{"$f":"AO3-$V35*COS($D$16)","v":15},{"$f":"AP3-$V35*SIN($D$16)","v":0},{"$f":"AQ3-$V36*COS($D$16)","v":15},{"$f":"AR3-$V36*SIN($D$16)","v":0}]
["Yp =",0,"Yt =",8]
[]
["Solo",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,5,{"$f":"+D5","v":8}]
["g =",18,"kN/m3",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+D4","v":15},{"$f":"+D5","v":8}]
["c = ",15,"kPa",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+B4","v":15},{"$f":"+B5","v":0}]
["f = ",28,"graus",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,25,0]
["tanf = ",{"$f":"TAN(PI()*B10/180)","v":0.53170943166147877}]
[]
["Círc. crít. F=",{"$f":"Q2","v":0.69520306634822704},null,null,null,null,null,"Círc. de F=",{"$f":"BP77","v":1.4987670402067645}]
["Centro",null,null,null,null,null,null,"Centro"]
["Xc =",{"$f":"+$B$44","v":26.488999998843667},null,null,null,null,null,"Xc =",15.44,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+Y31+Y$30","v":3072.103643790942},{"$f":"SUM(Y$30:Y31)","v":3072.103643790942},null,{"$f":"+AA31+AA$30","v":-2135.7358733030242},{"$f":"SUM(AA$30:AA31)","v":-2135.7358733030242},null,{"$f":"-AJ15/AG15","v":0.69520306634822704},0.69520306634822704]
["Yc =",{"$f":"+$B$45","v":8.0001799371370552},null,{"$f":"P31*PI()/180","v":0},null,null,null,"Yc =",8,null,{"$f":"AE5*PI()/180","v":0},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3072.103643790942,{"$f":"SUM(Y$30:Y32)","v":3072.103643790942},null,-2135.7358733030242,{"$f":"SUM(AA$30:AA32)","v":-2135.7358733030242},null,0.69520306634822704,0.69520306634822704]
["Raio",null,null,null,null,null,null,"Raio",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3072.103643790942,{"$f":"SUM(Y$30:Y33)","v":3072.103643790942},null,-2135.7358733030242,{"$f":"SUM(AA$30:AA33)","v":-2135.7358733030242},null,0.69520306634822704,0.69520306634822704]
["R = ",{"$f":"+$B$27","v":14},null,null,null,null,null,"R = ",8.01,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3072.103643790942,{"$f":"SUM(Y$30:Y34)","v":3072.103643790942},null,-2135.7358733030242,{"$f":"SUM(AA$30:AA34)","v":-2135.7358733030242},null,0.69520306634822704,0.69520306634822704]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3072.103643790942,{"$f":"SUM(Y$30:Y35)","v":3072.103643790942},null,-2135.7358733030242,{"$f":"SUM(AA$30:AA35)","v":-2135.7358733030242},null,0.69520306634822704,0.69520306634822704]
["Para examinar um outro círculo,",null,null,null,null,null,null,"Para examinar um outro círculo,",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,3072.103643790942,{"$f":"SUM(Y$30:Y36)","v":3072.103643790942},null,-2135.7358733030242,{"$f":"SUM(AA$30:AA36)","v":-2135.7358733030242},null,0.69520306634822704,0.69520306634822704]
["escolha abaixo:",null,null,null,null,null,null,"escolha abaixo:"]
["Segundo ponto de passagem obrigatória (X2,Y2),",null,null,null,null,null,null,"Segundo ponto de passagem obrigatória (X2,Y2),"]
[{"$f":"\"na superfície do terrapleno (Y2=\"&D5&\")\"","v":"na superfície do terrapleno (Y2=8)"},null,null,null,null,null,null,{"$f":"\"na superfície do terrapleno (Y2=\"&K5&\")\"","v":"na superfície do terrapleno (Y2=)"}]
["X2=",12.489000000000001,null,null,null,null,null,"X3=",5.2]
["Y2=",{"$f":"+D5","v":8},null,null,null,null,null,"Y3=",{"$f":"+D5","v":8},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Informações para a busca"]
["Raio do novo círculo",null,null,null,null,null,null,"Raio do novo círculo",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Limites para o centro"]
["R=",14,null,null,null,null,null,"R=",12,null,null,null,null,null,null,"Consumo de grampos",null,{"$f":"+Z22","v":0}," m / m",null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"D4-D5","v":7},{"$f":"D4+AJ27*D5","v":175},20]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"D5","v":8},{"$f":"D5+AJ28*D5","v":168},20]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Dados gerais dos grampos",null,null,null,"Dados","específicos","(por linha)",null,null,"Momento","solicitante","Momento","resistente",null,null,null,null,null,null,"Passagem obrigatória",null,"(Xp-Xc)^2 = ",{"$f":"(B15-B4)^2","v":131.99712097342979}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"LG = ",0,"m",null,"Y","Linha",null,"LG final","LG específico","Ms = ",{"$f":"+$F$101","v":3072.103643790942},"Mr = ",{"$f":"-$F$101*$AR$77","v":-2135.7358733030242},null,null,null,null,null,null,"pelo pé da contenção",null,"(Yp-Yc)^2 = ",{"$f":"(B16-B5)^2","v":64.002879026570255}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Inclinação",0,"graus",null,0,1,"Linha 1",{"$f":"IF(NOT(ISBLANK(W31)),W31,$P$30)","v":0},null,"DMs1 = ",{"$f":"+'Linha 1'!L$12","v":0},"DMr1 = ",{"$f":"+'Linha 1'!L$20","v":0},null,null,null,null,null,null,"R^2 = ",{"$f":"B18^2","v":196},"Soma = ",{"$f":"AK30+AK29","v":196.00000000000006}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"T0/TMAX = ",0.6,null,null,{"$f":"S31-$P$37","v":0},2,"Linha 2",0,null,"DMs2 = ",{"$f":"+'Linha 2'!L$12","v":0},"DMr2 = ",{"$f":"+'Linha 2'!L$20","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fG = ",30,"kN/m/grampo",null,{"$f":"S32-$P$37","v":0},3,"Linha 3",0,null,"DMs3 = ",{"$f":"+'Linha 3'!L$12","v":0},"DMr3 = ",{"$f":"+'Linha 3'!L$20","v":0}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,"fGm = ",{"$f":"IF(P36<>0,P33/P36/P35,0)","v":0},"kN/m/m",null,{"$f":"S33-$P$37","v":0},4,"Linha 4",0,null,"DMs4 = ",{"$f":"+'Linha 4'!L$12","v":0},"DMr4 = ",{"$f":"+'Linha 4'!L$20","v":0}]
["Determinação do centro do círculo de raio conhecido,",null,null,null,null,null,null,"Determinação do centro do círculo de raio conhecido,",null,null,null,null,null,null,"FG = ",1.5,null,null,{"$f":"S34-$P$37","v":0},5,"Linha 5",0,null,"DMs5 = ",{"$f":"+'Linha 5'!L$12","v":0},"DMr5 =",{"$f":"+'Linha 5'!L$20","v":0}]
["passando",{"$f":"B24-$E36","v":-1.2554999999999996},{"$f":"E36-$E36","v":0},{"$f":"B4-$E36","v":1.2554999999999996},{"$f":"0.5*(B4+B24)","v":13.7445},null,null,"passando",{"$f":"I24-$L36","v":-4.8999999999999995},{"$f":"L36-$L36","v":0},{"$f":"B4-$L36","v":4.9000000000000004},{"$f":"0.5*(B4+I24)","v":10.1},null,null,"Sh = ",0,"m",null,{"$f":"S35-$P$37","v":0},6,"Linha 6",0,null,"DMs6 = ",{"$f":"+'Linha 6'!L$12","v":0},"DMr6 = ",{"$f":"+'Linha 6'!L$20","v":0}]
["por 2",{"$f":"B25-$E37","v":4},{"$f":"E37-$E37","v":0},{"$f":"B5-$E37","v":-4},{"$f":"0.5*(B5+B25)","v":4},null,null,"por 2",{"$f":"I25-$L37","v":4},{"$f":"L37-$L37","v":0},{"$f":"B5-$L37","v":-4},{"$f":"0.5*(B5+I25)","v":4},null,null,"Sv = ",0,"m",null,null,null,null,null,null,"MsG = ",{"$f":"SUM(Y30:Y36)","v":3072.103643790942},"MrG = ",{"$f":"SUM(AA30:AA36)","v":-2135.7358733030242}]
["pontos",{"$f":"B37/B36","v":-3.1859816806053374},"decliv.",{"$f":"D37/D36","v":-3.1859816806053374},null,null,null,"pontos",{"$f":"I37/I36","v":-0.81632653061224503},"decliv.",{"$f":"K37/K36","v":-0.81632653061224481}]
["A",{"$f":"1+1/D38^2","v":1.098517515625},null,null,null,null,null,"A",{"$f":"1+1/K38^2","v":2.5006250000000003}]
["B",0,null,null,null,null,null,"B",0]
["C",{"$f":"D36^2+D37^2-B27^2","v":-178.42371975},null,null,null,null,null,"C",{"$f":"K36^2+K37^2-I27^2","v":-103.99}]
["xc=",{"$f":"IF(C42>0,C42,D42)","v":12.744499998843667},{"$f":"(-B40+SQRT(B40^2-4*B39*B41)/2/B39)","v":12.744499998843667},{"$f":"(-B40-SQRT(B40^2-4*B39*B41)/2/B39)","v":-12.744499998843667},null,null,null,"xc=",{"$f":"IF(J42>0,J42,K42)","v":6.4486900684635335},{"$f":"(-I40+SQRT(I40^2-4*I39*I41)/2/I39)","v":6.4486900684635335},{"$f":"(-I40-SQRT(I40^2-4*I39*I41)/2/I39)","v":-6.4486900684635335}]
["yc=",{"$f":"-1/D38*B42","v":4.0001799371370543},null,null,null,null,null,"yc=",{"$f":"-1/K38*I42","v":7.899645333867829}]
["Xc=",{"$f":"$B$42+$E$36","v":26.488999998843667},"calculado",null,null,null,null,"Xc=",{"$f":"$I$42+$L$36","v":16.548690068463532},"calculado"]
["Yc=",{"$f":"($B$43+$E$37)","v":8.0001799371370552},"calculado",null,null,null,null,"Yc=",{"$f":"($I$43+$L$37)","v":11.899645333867829},"calculado"]
[]
[]
[]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,"Superfície  dy=",{"$f":"($Y$76-$Y$51)/25","v":0.32},"Fellenius e Bishop simplificado",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISERR(AR77),AO77,AR77)","v":0.69520306634822693},null,null,null,null,null,"Superfície  dy=",{"$f":"($AW$76-$AW$51)/25","v":0.32},"Fellenius e Bishop simplificado",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"IF(ISERR(BP77),BM77,BP77)","v":1.4987670402067645}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+$B$15","v":26.488999998843667},{"$f":"+$B$16","v":8.0001799371370552},"dx","dy","x","y","h","a","sena","cosa","dl","A","w","w e","c dl","w sena","w cosa","w cosa tgf ","ma","c dx / ma","w tgf / ma",null,null,null,{"$f":"+$I$15","v":15.44},{"$f":"+$I$16","v":8},"dx","dy","x","y","h","a","sena","cosa","dl","A","w","w e","c dl","w sena","w cosa","w cosa tgf ","ma","c dx / ma","w tgf / ma"]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$B$4","v":15},{"$f":"$B$5","v":0},{"$f":"X51-X52","v":0.2163336629191388},{"$f":"Y51-Y52","v":-0.32},{"$f":"(X51+X52)*0.5","v":14.89183316854043},{"$f":"(Y51+Y52)*0.5","v":0.16},{"$f":"Y$76-AC51","v":7.84},{"$f":"ATAN(-AA51/Z51)","v":0.9763306841110746},{"$f":"SIN(AE51)","v":0.82844789254526152},{"$f":"COS(AE51)","v":0.56006614728736726},{"$f":"SQRT(Z51^2+AA51^2)","v":0.38626448673416969},{"$f":"AD51*Z51","v":1.6960559172860481},{"$f":"AI51*$B$8","v":30.529006511148864},{"$f":"AJ51*($B$15-AB51)","v":354.04998167320718},{"$f":"AH51*$B$9","v":5.793967301012545},{"$f":"AJ51*AF51","v":25.291691105661844},{"$f":"AJ51*AG51","v":17.098263057210094},{"$f":"AN51*$B$11","v":9.0913077325476372},{"$f":"AG51+$B$11*AF51/AP$49","v":1.1936846962103775},{"$f":"$B$9*Z51/AP51","v":2.718477462339163},{"$f":"AJ51*$B$11/AP51","v":13.598700521809896},null,null,null,{"$f":"$B$4","v":15},{"$f":"$B$5","v":0},{"$f":"AV51-AV52","v":1.8354559982561742},{"$f":"AW51-AW52","v":-0.32},{"$f":"(AV51+AV52)*0.5","v":14.082272000871914},{"$f":"(AW51+AW52)*0.5","v":0.16},{"$f":"AW$76-BA51","v":7.84},{"$f":"ATAN(-AY51/AX51)","v":0.1726086970843225},{"$f":"SIN(BC51)","v":0.17175286259057693},{"$f":"COS(BC51)","v":0.98514006831107137},{"$f":"SQRT(AX51^2+AY51^2)","v":1.8631421635330379},{"$f":"BB51*AX51","v":14.389975026328406},{"$f":"BG51*$B$8","v":259.01955047391129},{"$f":"BH51*($B$15-AZ51)","v":3213.585108886733},{"$f":"BF51*$B$9","v":27.947132452995568},{"$f":"BH51*BD51","v":44.487349260818689},{"$f":"BH51*BE51","v":255.17053764777197},{"$f":"BL51*$B$11","v":135.67658154945082},{"$f":"BE51+$B$11*BD51/BN$49","v":1.0460718972774123},{"$f":"$B$9*AX51/BN51","v":26.319261654480073},{"$f":"BH51*$B$11/BN51","v":131.65743036414989}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$B$15-SQRT($B$18^2-(Y52-$B$16)^2)","v":14.783666337080861},{"$f":"IF(Y51+Y$49<=$D$5,Y51+Y$49,$D$5)","v":0.32},{"$f":"X52-X53","v":0.20381203778110191},{"$f":"Y52-Y53","v":-0.32},{"$f":"(X52+X53)*0.5","v":14.68176031819031},{"$f":"(Y52+Y53)*0.5","v":0.48},7.52,{"$f":"ATAN(-AA52/Z52)","v":1.0036764606286819},{"$f":"SIN(AE52)","v":0.84345169368105877},{"$f":"COS(AE52)","v":0.53720502643455725},{"$f":"SQRT(Z52^2+AA52^2)","v":0.37939339312181669},1.5326665241138862,{"$f":"AI52*$B$8","v":27.587997434049949},325.73809801307755,5.6909008968272508,23.269143161018132,14.820410890835301,{"$f":"AN52*$B$11","v":7.8801522517556286},1.1822988736708817,2.5857933512398494,{"$f":"AJ52*$B$11/AP52","v":12.407013795752299},null,null,null,{"$f":"$I$15-SQRT($I$18^2-(AW52-$I$16)^2)","v":13.164544001743826},{"$f":"IF(AW51+AW$49<=$D$5,AW51+AW$49,$D$5)","v":0.32},{"$f":"AV52-AV53","v":0.8853192231096223},{"$f":"AW52-AW53","v":-0.32},{"$f":"(AV52+AV53)*0.5","v":12.721884390189015},{"$f":"(AW52+AW53)*0.5","v":0.48},7.52,{"$f":"ATAN(-AY52/AX52)","v":0.34683999265914373},{"$f":"SIN(BC52)","v":0.3399276757006216},{"$f":"COS(BC52)","v":0.94045158051479349},{"$f":"SQRT(AX52^2+AY52^2)","v":0.9413767188577723},6.6576005577843596,{"$f":"BG52*$B$8","v":119.83681004011848},1649.8072179946976,14.120650782866585,40.735848300314387,112.7007174060805,{"$f":"BL52*$B$11","v":59.924034399827988},1.0610458732928427,12.515753259029157,{"$f":"BH52*$B$11/BN52","v":60.052410326815419}]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.579854299299759,0.64,0.19192311493412895,-0.31999999999999995,14.483892741832694,0.8,7.2,1.0305535113030888,0.85758381589640287,0.51434424144979451,0.37314137005432518,1.3818464275257285,24.873235695463112,298.60586235294858,5.5971205508148776,21.330884381405873,12.793405546184927,6.8023743919767981,1.1702467042331732,2.4600340369241667,11.301321308896874,null,null,null,{"$f":"$I$15-SQRT($I$18^2-(AW53-$I$16)^2)","v":12.279224778634203},0.64,0.66002312452999412,-0.31999999999999995,11.949213216369206,0.8,7.2,0.45143933757545041,0.43626113045547638,0.89982010760690934,0.7335056406833802,4.752166496615958,85.538996939087241,1243.718777081064,11.002584610250704,37.317339502673732,76.96970943031657,40.925520456342788,1.054590096209324,9.3878625482414986,43.127554118759157]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.38793118436563,0.96,0.18059156238064844,-0.32000000000000006,14.297635403175306,1.1200000000000001,6.88,1.057003673428919,0.87088674813908085,0.49148374532199646,0.36744157685689799,1.2424699491788613,22.364459085219504,272.65327469281868,5.5116236528534701,19.476911046616337,10.991768113304232,5.8444267764797582,1.157560637541281,2.3401568331344738,10.272804243651889,null,null,null,11.619201654104209,0.96,0.53829559665695115,-0.32000000000000006,11.350053855775734,1.1200000000000001,6.88,0.5363426011188982,0.51099557719192612,0.85958334097997169,0.62622851211060571,3.7034737049998236,66.662526689996824,1009.2004013206906,9.3934276816590856,34.064256303027108,57.301997410354005,30.468012476126855,1.0408664628004018,7.7574158054150244,34.053450126631063]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.207339621984982,1.28,0.16975306789803035,-0.32000000000000006,14.122463088035968,1.44,6.5600000000000005,1.0830643828551294,0.88339799419907472,0.46862349903206046,0.3622376347935059,1.1135801254110791,20.044442257399425,247.88033503268358,5.4335645219025883,17.707220085025824,9.3932966668086113,4.9945044321364698,1.1442693184525436,2.2252593663124229,9.3140826453918333,null,null,null,11.080906057447258,1.28,0.45755426963797063,-0.32000000000000006,10.852128922628273,1.44,6.5600000000000005,0.61030341736358062,0.57311612916761456,0.81947416218446456,0.55835106309913729,3.0015560088250877,54.028008158851577,844.8289980846755,8.37526594648706,30.964322902637313,44.274556720470315,23.541199390905177,1.0227954543805482,6.7103485991989444,28.086946797532669]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,14.037586554086952,1.6,0.15935227077523351,-0.32000000000000006,13.957910418699335,1.7600000000000002,6.24,1.1087693516031651,0.89515078556974448,0.44576346989616517,0.35748167253891966,0.99435816963745716,17.898447053474229,224.28704337255593,5.3622250880837949,16.021808940395935,7.978473864309465,4.2422298039179482,1.1303981305957296,2.1145506144536901,8.4189568726643511,null,null,null,10.623351787809288,1.6,0.3981096920652476,-0.32000000000000006,10.424296941776664,1.7600000000000002,6.24,0.67705285362290923,0.62649867597192133,0.77942248428270888,0.51077522151753441,2.4842044784871451,44.715680612768608,718.34413103877557,7.6616283227630158,28.014314699082846,34.852406869596273,18.531353448667652,1.0016820122822998,5.9616178665048745,23.735825175495698]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.878234283311718,1.9200000000000002,0.14934114498468887,-0.32000000000000006,13.803563710819374,2.08,5.92,1.1341491213026051,0.90617466278701442,0.4229036303022719,0.35313280445936751,0.88409957830935804,15.913792409568444,201.87339971242511,5.2969920668905131,14.420675470403234,6.7300005818832345,3.5784047844745559,1.115969639730906,2.0073280625362648,7.5822076304071482,null,null,null,10.22524209574404,1.9200000000000002,0.35143469032788133,-0.32000000000000006,10.049524750580099,2.08,5.92,0.73861512667221163,0.67326457994507816,0.73940165363040511,0.47529605675394981,2.0804933667410572,37.448880601339027,615.63994572089064,7.1294408513092469,25.213004867473906,27.689764243237676,14.722908808612241,0.97825206704156198,5.3887137400694645,20.354593352523501]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.728893138327029,2.2400000000000002,0.13967772107895904,-0.31999999999999984,13.659054277787551,2.4000000000000004,5.6,1.1592315194955904,0.91649595344432744,0.40004395673497323,0.3491559333103354,0.78219523804217062,14.079514284759071,180.63940405229312,5.237338999655031,12.903817868443292,5.6324246033815957,2.9948132847401583,1.1010039583725888,1.9029593856150009,6.7994401668495383,null,null,null,9.8738074054161586,2.2400000000000002,0.31313559833072091,-0.31999999999999984,9.7172396062507982,2.4000000000000004,5.6,0.79623965255529383,0.71473116600159259,0.69939928534850815,0.44772078681019323,1.7535593506520371,31.564068311736666,529.38499073988066,6.7158118021528983,22.559823348201466,22.075886819920115,11.737957234442854,0.95296057397480816,4.9288859405478211,17.611340155402125]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.58921541724807,2.56,0.13032506534671917,-0.31999999999999984,13.524052884574711,2.7199999999999998,5.28,1.1840420391961981,0.92613816815264494,0.37718442901432603,0.34552079916790324,0.6881163450306772,12.386094210552189,160.58505639216202,5.1828119875185488,11.471234602726884,4.6718418725247766,2.4840623868524476,1.0855190478691064,1.8008675057690096,6.0669622759050501,null,null,null,9.5606718070854377,2.56,0.2806799239632074,-0.31999999999999984,9.4203318451038349,2.7199999999999998,5.28,0.85076418833601142,0.75178453714546623,0.65940883350845181,0.4256538731363686,1.4819899985257352,26.675819973463234,455.32071885594883,6.3848080970455285,20.054468971725839,17.590271331582851,9.3529131724871206,0.92611534509704285,4.5460847633476433,15.315354779817209]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.458890351901351,2.88,0.12125045652633126,-0.31999999999999984,13.398265123638186,3.04,4.96,1.2086041572551789,0.93512233067724004,0.35432502969556984,0.3422012174260104,0.60140226437060307,10.825240758670855,141.7103567320284,5.1330182613901556,10.122924368390544,3.8356537532777435,2.0394532772055269,1.069530970299547,1.7005181695538782,5.3816885824068157,null,null,null,9.2799918831222303,2.88,0.25248749715581731,-0.31999999999999984,9.1537481345443226,3.04,4.96,0.90278434459977619,0.78505464735118891,0.61942650950076428,0.40761493620819239,1.2523379858928538,22.54208374607137,390.77269928427569,6.1142240431228858,17.696767605833028,13.963164251702901,7.4243461284688275,0.89793607714425705,4.2177974064503623,13.348209123313232]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.33763989537502,3.1999999999999997,0.11242471576280089,-0.31999999999999984,13.28142753749362,3.3599999999999994,4.6400000000000006,1.2329396035261637,0.94346725477123472,0.33146574359114417,0.33917446353513475,0.52165068113939617,9.3897122605091319,124.01530507190131,5.0876169530270214,8.8588860495143553,3.1123679565365427,1.6548753972914432,1.0530540997252817,1.6014094023108116,4.7410656022350484,null,null,null,9.027504385966413,3.1999999999999997,0.22751191608262644,-0.31999999999999984,8.9137484279250998,3.3599999999999994,4.6400000000000006,0.95274267935313783,0.81500781361702213,0.57944996655725278,0.39263427252290134,1.0556552906233869,19.001795231220964,333.96133148778921,5.8895140878435202,15.486611586195755,11.010589611258753,5.8544343444601745,0.86858585609362016,3.929005655914759,11.63204958042893]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.225215179612219,3.5199999999999996,0.10382165652337605,-0.31999999999999984,13.173304351350531,3.6799999999999997,4.32,1.2570685901853809,0.95118977745668698,0.30860655738642101,0.33642077278797422,0.44850955618098454,8.0731720112577214,107.49990141176785,5.0463115918196131,7.6791186887577858,2.4914338215826541,1.3247188612958991,1.0361013002251562,1.5030623429506524,4.1430135266487698,null,null,null,8.7999924698837866,3.5199999999999996,0.20502716665487064,-0.31999999999999984,8.6974788865563504,3.6799999999999997,4.32,1.0009796829408739,0.84199990586228113,0.53947767194566054,0.3800475484285144,0.88571735994904122,15.942912479082741,283.64866396294951,5.7007132264277161,13.423930806558255,8.6008453082489762,4.5731505706573596,0.83818939924871705,3.6691080829459284,10.113462352160328]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.121393523088843,3.8399999999999994,9.5417629193145004E-2,-0.31999999999999984,13.073684708492269,3.9999999999999991,4.0000000000000009,1.2810100085674172,0.95830495641388913,0.28574745932829226,0.33392293116951466,0.38167051677258013,6.870069301906442,92.164145751639239,5.0088439675427203,6.5836214629238503,1.9631048484290603,1.0438013632501091,1.0186840765525593,1.4050130662107474,3.5858817547769677,null,null,null,8.5949653032289159,3.8399999999999994,0.18451009645699479,-0.31999999999999984,8.5027102550004194,3.9999999999999991,4.0000000000000009,1.0477649002364005,0.86630893890886074,0.49950858087384614,0.36938323688896524,0.73804038582797926,13.284726944903626,238.94294799887814,5.5407485533344785,11.508677703333412,6.6358351035453564,3.5283361115053915,0.80684429162375892,3.4302175470375769,8.7546193075707937]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,13.025975893895698,4.1599999999999993,8.7191140950443113E-2,-0.32000000000000028,12.982380323420475,4.3199999999999994,3.6800000000000006,1.3047815993690646,0.96482623754526919,0.26288843897029746,0.33166593895098762,0.3208633986976307,5.7755411765573523,78.00803809150635,4.9749890842648146,5.5723936631656077,1.5183230041138376,0.80730666159591769,1.0008127020377922,1.3068050711123567,3.0684160085818095,null,null,null,8.4104552067719212,4.1599999999999993,0.1655716061083492,-0.32000000000000028,8.3276694037177457,4.3199999999999994,3.6800000000000006,1.0933169224717387,0.88815606242387646,0.45954195540746351,0.36029703960662585,0.60930351047872511,10.967463188617051,199.18372475834815,5.4044555940993879,9.7408189203809332,5.0400094795564545,2.6798205759434279,0.77462825134905799,3.2061496431352152,7.5281318601947138]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.938784752945255,4.4799999999999995,7.912253588487772E-2,-0.32000000000000028,12.899223485002816,4.6399999999999997,3.3600000000000003,1.3284001009137005,0.97076559755096037,0.24002948696259549,0.32963673291193435,0.26585172057318918,4.7853309703174052,65.031578431374726,4.9445509936790151,4.6454346788792931,1.148620537751506,0.61073237332255537,0.98249632742355231,1.2079821625241782,2.5897354926627139,null,null,null,8.244883600663572,4.4799999999999995,0.14791431011862777,-0.32000000000000028,8.170926445604259,4.6399999999999997,3.3600000000000003,1.1378167752338373,0.90771962869043266,0.41957725830900688,0.35253176188518076,0.49699208199858935,8.9458574759746092,163.87087524169954,5.2879764282777115,8.120330426409204,3.7534783529925591,1.9957598418233369,0.74160401425659883,2.9917781041186893,6.4139307539255617]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.859662217060377,4.8,7.1193723589528801E-2,-0.32000000000000028,12.824065355265613,4.96,3.04,1.3518813792736628,0.97613366539665636,0.21717059487713461,0.32782395623038657,0.21642891971216754,3.8957205548190159,53.234766771245489,4.9173593434557983,3.8027439845365816,0.84603595036512658,0.44984529433382053,0.96374307359188705,1.108081482612195,2.1493190652926288,null,null,null,8.0969692905449442,4.8,0.13130538146298676,-0.32000000000000028,8.0313165998134508,4.96,3.04,1.1814172029205599,0.92514493148207178,0.3796140879275065,0.3458917506983083,0.39916835964747976,7.1850304736546358,132.61901769510138,5.1883762604746249,6.6471945252458156,2.7275387899877446,1.4502580998590211,0.70782272377725686,2.7825904082794102,5.397323851416119]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.788468493470848,5.12,6.3387946930035355E-2,-0.32000000000000028,12.75677452000583,5.28,2.7199999999999998,1.3752405433499721,0.98093982580233641,0.1943117550609893,0.32621776747443593,0.17241521564969614,3.1034738816945304,42.61760311111339,4.8932665121165391,3.0443211288915335,0.60304145673800524,0.32064283023047502,0.94456011056840539,1.0066264638026672,1.7469998101222357,null,null,null,7.9656639090819574,5.12,0.1155585065055611,-0.32000000000000028,7.9078846558291769,5.28,2.7199999999999998,1.22424930446859,0.94055112887742021,0.33965213670373168,0.34022605488968066,0.31431913769512615,5.6577444785122708,105.12720273653986,5.1033908233452099,5.3213979561647076,1.9216650010504328,1.0217674055522807,0.67332634541530267,2.5743498815782742,4.4677831509773274]
[null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.725080546540813,5.44,5.5689581575370184E-2,-0.32000000000000028,12.697235755753127,5.6000000000000005,2.3999999999999995,1.3984920474623466,0.98519230728400686,0.17145296051224937,0.3248096819616681,0.13365499578088841,2.4057899240559912,33.180087450982924,4.8721452294250218,2.3701657261213378,0.41247980484993929,0.21931940260859889,0.92495372473478665,0.903119476458211,1.3829677734240216,null,null,null,7.8501054025763963,5.44,0.10052151615568761,-0.32000000000000028,7.7998446444985525,5.6000000000000005,2.3999999999999995,1.2664274045809762,0.95403627096819155,0.29969116382887806,0.33541701687636294,0.24125163877365019,4.3425294979257032,81.158208417559763,5.031255253145444,4.1429306487704114,1.3014177191945875,0.69197607582713205,0.638149423059714,2.3628051485274502,3.6182182540329961]
[null,"setor",null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.669390964965443,5.7600000000000007,4.8083961318068802E-2,-0.32000000000000028,12.645348984306409,5.9200000000000008,2.0799999999999992,1.4216497835722877,0.98889825680281462,0.14859420477378796,0.32359244017133298,0.10001463954158307,1.8002635117484953,24.922219790851464,4.8538866025699949,1.7802774485538004,0.26750872491153455,0.14223691208719891,0.90492937581613675,0.79703393330616912,1.0577809873940676,null,null,null,7.7495838864207087,5.7600000000000007,8.6067667667861336E-2,-0.32000000000000028,7.7065500525867776,5.9200000000000008,2.0799999999999992,1.308052718364149,0.96568101345633572,0.25973097668538553,0.33137236369043455,0.1790207487491515,3.222373477484727,60.524068549002635,4.9705854553565185,3.1117848854722681,0.83695021055219032,0.44501432078166009,0.60232037787765735,2.1434025187176209,2.8446096682826232]
[null,"ângulo do raio superior com a horizontal",null,null,null,{"$f":"ATAN(($Y$77-$Y$76)/($X$77-$X$76))","v":1.2852652647155244E-5},{"$f":"F70*180/PI()","v":7.364027522296406E-4},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.621307003647374,6.080000000000001,4.0557224323919172E-2,-0.32000000000000028,12.601028391485414,6.2400000000000011,1.7599999999999989,1.4447271649214404,0.99206380268915506,0.12573548184157599,0.32255989900305476,7.1380714810097695E-2,1.2848528665817585,17.844000130720321,4.838398485045821,1.2746560207171609,0.16155159427518753,8.5898506376065775E-2,0.8844917449153018,0.6878055881878733,0.77238526123748985,null,null,null,7.6635162187528474,6.080000000000001,7.2089337479589233E-2,-0.32000000000000028,7.6274715500130528,6.2400000000000011,1.7599999999999989,1.3492161731548928,0.97555139478898589,0.21977141789883481,0.32801962224575271,0.12687723396407696,2.2837902113533852,43.07577404260276,4.9202943336862903,2.227954726091228,0.50191181293261311,0.26687124479858215,0.56586248059544664,1.9109591098105043,2.1459503624183709]
[null,"ângulo do raio inferior com a horizontal",null,null,null,{"$f":"ATAN(($Y$50-$Y$51)/($X$50-$X$51))","v":0.60826124051312669},{"$f":"F71*180/PI()","v":34.850801922794048},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.580749779323455,6.4000000000000012,3.3096176310850822E-2,-0.32000000000000028,12.56420169116803,6.5600000000000014,1.4399999999999986,1.467737202598661,0.99469410719322626,0.10287678608447302,0.32170694255237808,4.7658493887625136E-2,0.8578528899772524,11.945428470589899,4.8256041382856711,0.85330121449905205,8.8253148254136771E-2,4.6925031300543291E-2,0.86364477462469114,0.57482272717796323,0.52814361411169186,null,null,null,7.5914268812732582,6.4000000000000012,5.8493341092601625E-2,-0.32000000000000028,7.5621802107269573,6.5600000000000014,1.4399999999999986,1.3900006319095988,0.98370092843662671,0.17981235606297638,0.32530212257557684,8.4230411173346259E-2,1.5161474011202327,28.695848633224141,4.8795318386336524,1.4914356061287517,0.27262203633418758,0.1449557079976459,0.5287945844897175,1.6592456544079557,1.524504782405431]
[null,"ângulo central",null,null,null,{"$f":"F71-F70","v":0.60824838786047952},{"$f":"F72*180/PI()","v":34.850065520041817},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.547653603012604,6.7200000000000015,2.5688167322257982E-2,-0.32000000000000028,12.534809519351475,6.8800000000000017,1.1199999999999983,1.4906925763361403,0.99679340975160824,8.0018112173197972E-2,0.32102940977483124,2.8770747400928897E-2,0.51787345321672018,7.2265048104585023,4.8154411466224687,0.5162128452517345,4.1439256071016908E-2,2.2033643293994883E-2,0.84239170204665825,0.45741489249917561,0.32687667603256876,null,null,null,7.5329335401806565,6.7200000000000015,4.5197368802039506E-2,-0.32000000000000028,7.5103348557796368,6.8800000000000017,1.1199999999999983,1.4304826870025502,0.99017218123612094,0.13985367891515249,0.32317611629980914,5.0621053058284168E-2,0.91117895504911506,17.292960273284148,4.8476417444971371,0.90222405341743162,0.1274317290136831,6.7756652209505011E-2,0.49113167850302231,1.3804048113879108,0.98646140238352331]
[null,"comprimento do arco",null,null,null,{"$f":"F72*B18","v":8.5154774300467135},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.521965435690346,7.0400000000000018,1.8320979273449112E-2,-0.32000000000000028,12.51280494605362,7.200000000000002,0.79999999999999805,1.5136057006675001,0.99836506183971063,5.7159455016565774E-2,0.32052403697934784,1.4656783418759254E-2,0.26382210153766655,3.6872291503274086,4.8078605546902171,0.26339076871633488,1.50799275452181E-2,8.018139704564194E-3,0.82073508538579665,0.33483969918570822,0.17091592910566364,null,null,null,7.487736171378617,7.0400000000000018,3.2127193867433235E-2,-0.32000000000000028,7.4716725744449004,7.200000000000002,0.79999999999999805,1.4707341444293269,0.99499795547635506,9.9895288166526694E-2,0.321608701041803,2.5701755093946524E-2,0.4626315916910374,8.7980164560592176,4.8241305156270453,0.46031748787135413,4.6214716166915096E-2,2.457280046750698E-2,0.45288530143615419,1.0640837900530447,0.54315205175932335]
[null,"comprimento da corda",null,null,null,{"$f":"SQRT(($X$51-$X$76)^2+($Y$51-$Y$76)^2)","v":8.3848149055301153},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.503644456416897,7.3600000000000021,1.0982721842742293E-2,-0.32000000000000028,12.498153095495525,7.5200000000000022,0.47999999999999776,1.5364887874506357,0.99941155409255977,3.4300809703191847E-2,0.32018841356157041,5.2717064845162762E-3,9.489071672129297E-2,1.3276014901965876,4.8028262034235558,9.4834878667384256E-2,3.2548284168565549E-3,1.7306229676824294E-3,0.79867682463333001,0.20626719413921443,6.3172346438113397E-2,null,null,null,7.4556089775111838,7.3600000000000021,1.9214415062438484E-2,-0.32000000000000028,7.446001769979965,7.5200000000000022,0.47999999999999776,1.5108232863122173,0.99820215617312147,5.993709545291058E-2,0.32057634620506836,9.2229192299704294E-3,0.16601254613946773,3.1613766221030377,4.8086451930760257,0.16571408150820649,9.9503098243419984E-3,5.2906735815565122E-3,0.4140638455773677,0.69606711384011466,0.21318073891094677]
[null,"área do arco",null,null,null,{"$f":"0.5*$F$72*$B$18^2","v":59.608342010326993},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,12.492661734574154,7.6800000000000024,3.6617345741518648E-3,-0.31999999999999762,12.490830867287078,7.8400000000000016,0.15999999999999837,1.559353905658418,0.99993453621353146,1.1442171447317554E-2,0.32002094978311968,5.8587753186429236E-4,1.0545795573557263E-2,0.14762183006547538,4.8003142467467956,1.0545105205847694E-2,1.2066680100100475E-4,6.4159676180652994E-5,0.77621817673965543,7.0761056953063631E-2,7.2238697042454935E-3,null,null,null,7.4363945624487453,7.6800000000000024,6.3945624487455888E-3,-0.31999999999999762,7.4331972812243725,7.8400000000000016,0.15999999999999837,1.5508159783809632,0.99980039947904364,1.9979019033592386E-2,0.32006388491816656,1.0231299917992838E-3,1.8416339852387109E-2,0.35093813900771875,4.8009582737724985,1.8412663941358463E-2,3.6794040443994803E-4,1.956373833300594E-4,0.37467276924348736,0.2560058926215949,2.6135183552220748E-2]
[null,"CG do arco (a partir do centro, na bissetriz)",null,null,null,{"$f":"2*$B$18*SIN(0.5*$F$72)/(3*0.5*$F$72)","v":9.1901215280638802},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"$X$77-SQRT($B$18^2-($Y$76-$Y$77)^2)","v":12.489000000000003},{"$f":"+$D$5","v":8},null,null,null,null,null,null,null,null,null,"TOTAIS",{"$f":"SUM(AJ51:AJ75)","v":245.63114111677993},3070.8748437909426,127.72897837966383,219.3662146944896,106.6181544763616,56.689878321421986,null,{"$f":"SUM(AQ51:AQ75)","v":35.026989347308898},{"$f":"SUM(AR51:AR75)","v":117.47707576150374},null,null,null,7.43,{"$f":"+$D$5","v":8},null,null,null,null,null,null,null,null,null,"TOTAIS",{"$f":"SUM(BH51:BH75)","v":841.9410358399266},12371.013944021781,182.04319217224983,383.8772318392775,705.37584025209628,375.05498712818007,null,{"$f":"SUM(BO51:BO75)","v":121.78991494566091},{"$f":"SUM(BP51:BP75)","v":453.55262762085903}]
[null,"ângulo da bissetriz com a horizontal",null,null,null,{"$f":"$F$72/2+F70","v":0.30413704658288693},{"$f":"F77*180/PI()","v":17.425769162773136},null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,null,{"$f":"+$B$15","v":26.488999998843667},{"$f":"+$B$16","v":8.0001799371370552},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FFELLENIUS=",{"$f":"(AL76+AO76)/AM76","v":0.84068942411175385},null,"FBISHOP SIMPLIFICADO=",{"$f":"(AR76+AQ76)/AM76","v":0.69520306634822693},null,null,null,{"$f":"+$B$15","v":26.488999998843667},{"$f":"+$B$16","v":8.0001799371370552},null,null,null,null,null,null,null,null,null,null,null,null,null,null,"FFELLENIUS=",{"$f":"(BJ76+BM76)/BK76","v":1.4512404828783305},null,"FBISHOP SIMPLIFICADO=",{"$f":"(BP76+BO76)/BK76","v":1.4987670402067645}]
[null,"xCG arco",{"$f":"$B$15-$F$76*COS($F$77)","v":17.72065233072507},"yCG arco",{"$f":"$B$16-$F$76*SIN($F$77)","v":5.248014812806332}]
[null,"momento do arco",null,null,null,{"$f":"F75*($B$15-C78)","v":522.66666666666652}]
[]
[null,"triângulo superior"]
[null,"x1sup =",{"$f":"+$B$15","v":26.488999998843667},"y1sup =",{"$f":"+$B$16","v":8.0001799371370552},null,{"$f":"+C82","v":26.488999998843667},{"$f":"+E82","v":8.0001799371370552},1]
[null,"x2sup =",{"$f":"+$X$76","v":12.489000000000003},"y2sup =",{"$f":"+$Y$76","v":8},null,{"$f":"+C83","v":12.489000000000003},{"$f":"+E83","v":8},1,{"$f":"MDETERM(G82:I84)","v":4.518221511353468E-4}]
[null,"x3sup =",{"$f":"+$D$4","v":15},"y3sup =",{"$f":"+$D$5","v":8},null,{"$f":"+C84","v":15},{"$f":"+E84","v":8},1]
[null,"área sup",null,null,null,{"$f":"J83/2","v":2.259110755676734E-4}]
[null,"xCGsup",{"$f":"AVERAGE(C82:C84)","v":17.992666666281224},"yCGsup",{"$f":"AVERAGE(E82:E84)","v":8.0000599790456857}]
[null,"momento sup",null,null,null,{"$f":"F85*($B$15-C86)","v":1.9194158015406566E-3}]
[]
[null,"triângulo inferior"]
[null,"x1inf =",{"$f":"+$B$15","v":26.488999998843667},"y1inf =",{"$f":"+$B$16","v":8.0001799371370552},null,{"$f":"+C90","v":26.488999998843667},{"$f":"+E90","v":8.0001799371370552},1]
[null,"x2inf =",{"$f":"+$B$4","v":15},"y2inf =",{"$f":"+$D$5","v":8},null,{"$f":"+C91","v":15},{"$f":"+E91","v":8},1,{"$f":"MDETERM(G90:I92)","v":91.911999990749308}]
[null,"x3inf =",{"$f":"+$X$51","v":15},"y3inf =",{"$f":"+$Y$51","v":0},null,{"$f":"+C92","v":15},{"$f":"+E92","v":0},1]
[null,"área inf",null,null,null,{"$f":"J91/2","v":45.955999995374654}]
[null,"xCGinf",{"$f":"AVERAGE(C90:C92)","v":18.829666666281224},"yCGinf",{"$f":"AVERAGE(E90:E92)","v":5.3333933123790187}]
[null,"momento inf",null,null,null,{"$f":"F93*($B$15-C94)","v":351.9923225958126}]
[]
[null,"área da cunha",null,null,null,{"$f":"F75-F85-F93","v":13.652116103876772}]
[null,"momento da cunha (1)",null,null,null,{"$f":"F79-F87-F95","v":170.67242465505234}]
[null,"xCGcunha",{"$f":"$B$15-F98/F97","v":13.987463727365084},null,"<= comparar =>",null,{"$f":"$B$15-H99","v":13.987023132925991},{"$f":"AK76/AJ76","v":12.501976865917676}]
[null,"peso da cunha",null,null,null,{"$f":"F97*$B$8","v":245.7380898697819}]
[null,"momento da cunha (com g)",null,null,null,{"$f":"F98*$B$8","v":3072.103643790942}]
[null,"coesão total",null,null,null,{"$f":"$B$9*F73","v":127.7321614507007}]

{"sheet":"Linha 1","index":1,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 1"]
["Cabeça",null,null,null,null,null,null,"r"]
["X1 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y1 =",{"$f":"+Resultados!$S$31","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$31","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs1 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc1 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc1 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr1 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 1'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 1'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc1 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc1 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Linha 2","index":2,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 2"]
["Cabeça",null,null,null,null,null,null,"r"]
["X2 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y2 =",{"$f":"+Resultados!$S$32","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$32","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs2 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc2 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc2 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr2 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 2'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 2'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc2 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc2 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Linha 3","index":3,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 3"]
["Cabeça",null,null,null,null,null,null,"r"]
["X3 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y3 =",{"$f":"+Resultados!$S$33","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$33","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs3 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc3 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc3 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr3 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 3'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 3'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc3 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc3 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Linha 4","index":4,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 4"]
["Cabeça",null,null,null,null,null,null,"r"]
["X4 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y4 =",{"$f":"+Resultados!$S$34","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$34","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs4 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc4 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc4 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr4 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 4'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 4'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc4 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc4 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Linha 5","index":5,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 5"]
["Cabeça",null,null,null,null,null,null,"r"]
["X5 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y5 =",{"$f":"+Resultados!$S$35","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$35","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs5 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc5 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc5 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr5 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 5'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 5'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc5 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc5 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Linha 6","index":6,"n_rows":33,"n_cols":12,"rows_kept":33,"cut":false,"hidden":false,"merged":[]}
["Linha 6"]
["Cabeça",null,null,null,null,null,null,"r"]
["X6 =",{"$f":"+Resultados!$B$4","v":15},null,null,null,null,null,"rx = ",{"$f":"+B15-Resultados!$B$15","v":-11.488999998843667}]
["Y6 =",{"$f":"+Resultados!$S$36","v":0},null,null,null,null,null,"ry = ",{"$f":"+B16-Resultados!$B$16","v":-8.0001799371370552}]
["Carga/m",{"$f":"+MIN(B21:B22)","v":0},"kN/m"]
["LG = ",{"$f":"+Resultados!$V$36","v":0},"m"]
["Inclinação",{"$f":"+Resultados!$P$31","v":0},"graus"]
[null,{"$f":"(B7+180)/180*PI()","v":3.1415926535897931},"rd"]
[null,{"$f":"TAN(B8)","v":-1.22514845490862E-16},"tangente"]
[null,{"$f":"COS(B8)","v":-1},"cosseno","Th = Tx = ",{"$f":"B5*B10","v":0},null,null,"i ",{"$f":"+I3","v":-11.488999998843667},{"$f":"+E10","v":0}]
[null,{"$f":"SIN(B8)","v":1.22514845490862E-16},"seno","Tv = Ty = ",{"$f":"B5*B11","v":0},null,null,"j",{"$f":"+I4","v":-8.0001799371370552},{"$f":"+E11","v":0}]
[null,null,null,null,null,null,null,"k",0,0,"DMs6 = ",{"$f":"+J11*I10-(I11*J10)","v":0}]
[]
["Grampo x círculo",null,null,null,null,null,null,"r"]
[{"$f":"+\"Xc\"&RIGHT($A$1,1)&\" =\"","v":"Xc6 ="},{"$f":"+I32","v":15},null,null,null,null,null,"rx = ",{"$f":"B15-Resultados!$B$15","v":-11.488999998843667},{"$f":"+I15/Resultados!$B$18","v":-0.82064285706026197},"seno"]
[{"$f":"+\"Yc\"&RIGHT($A$1,1)&\" =\"","v":"Yc6 ="},{"$f":"+I33","v":0},null,null,null,null,null,"ry = ",{"$f":"B16-Resultados!$B$16","v":-8.0001799371370552},{"$f":"+I16/Resultados!$B$18","v":-0.57144142408121823},"cosseno"]
[]
["LA = ",{"$f":"MIN(IF(B6>0,SQRT((B3-B15)^2+(B4-B16)^2),0),B6)","v":0},null,null,null,"N x tg f",null,"i",{"$f":"+I15","v":-11.488999998843667},{"$f":"-F20","v":0}]
["LB = ",{"$f":"+$B$6-B18","v":0},null,"Nx = ",{"$f":"+E10*J15","v":0},{"$f":"E19*Resultados!$B$11","v":0},null,"j",{"$f":"+I16","v":-8.0001799371370552},{"$f":"+F19","v":0}]
[null,null,null,"Ny = ",{"$f":"+E11*J16","v":0},{"$f":"E20*Resultados!$B$11","v":0},null,"k",0,0,"DMr6 = ",{"$f":"+J19*I18-(I19*J18)","v":0}]
["TA = ",{"$f":"(Resultados!$P$34*'Linha 6'!B18)/(1-Resultados!$P$32)","v":0}]
["TB = ",{"$f":"Resultados!$P$34*'Linha 6'!B19","v":0}]
[null,null,null,null,null,null,null,"Xc = ",{"$f":"+Resultados!$B$15","v":26.488999998843667}]
[null,null,null,null,null,null,null,"Yc = ",{"$f":"+Resultados!$B$16","v":8.0001799371370552}]
[null,null,null,null,null,null,null,"R = ",{"$f":"+Resultados!$B$18","v":14}]
[null,null,null,null,null,null,null,"tg a = ",{"$f":"+B9","v":-1.22514845490862E-16}]
[null,null,null,null,null,null,null,"A = ",{"$f":"1+I26^2","v":1}]
[null,null,null,null,null,null,null,"B = ",{"$f":"-2*(I23+B3*I26^2-B4*I26+I24*I26)","v":-52.977999997687334}]
[null,null,null,null,null,null,null,"C = ",{"$f":"+I23^2+I24^2+B4^2-2*I24*B4+I26^2*B3^2+2*I26*I24*B3-2*I26*B3*B4-I25^2","v":569.66999996531001}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28+SQRT(I28^2-4*I27*I29))/(2*I27)","v":37.977999997687334}]
[null,null,null,null,null,null,null,null,{"$f":"(-I28-SQRT(I28^2-4*I27*I29))/(2*I27)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A15","v":"Xc6 ="},{"$f":"MIN(I31,I30)","v":15}]
[null,null,null,null,null,null,null,{"$f":"+A16","v":"Yc6 ="},{"$f":"B4-I26*(B3-I32)","v":0}]

{"sheet":"Antes","index":7,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Distr. Grampo","index":8,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}

{"sheet":"Esf. do Grampo","index":9,"n_rows":0,"n_cols":0,"rows_kept":0,"cut":false,"hidden":false,"merged":[]}