Plan 1

Clculo de HiperestticasCLCULO DE VIGASVIGAV1HIPERESTTICAS4 TRAMOSkN/mkN/mkN/mkN/mq1 =1.30q2 =1.30q3 =1.30q4 =1.30ABCDEL1 =1.60L2 =1.60L3 =1.15L4 =1.35MiBA = 3 x E x I / L1=1.8750E IBeta BA =0.429MiBC = 4 x E x I / L2=2.5000E IBeta BC =0.571Somatria4.3750E IMiCB = 4 x E x I / L2=2.5000E IBeta CB =0.418MiCD = 4 x E x I / L3=3.4783E IBeta CD =0.582Somatria5.9783E IMiDC = 4 x E x I / L3=3.4783E IBeta DC =0.610MiDE = 3 x E x I / L4=2.2222E IBeta DE =0.390Somatria5.7005E IMomentos de PartidaTRAMO ABTRAMO CDMA=0.00kN x mMC= (qL32)/120.14kN x mMB= - (q*L12)/8-0.42kN x mMD= - (qL32)/12-0.14kN x mTRAMO BCTRAMO DEMB= (qL22)/120.28kN x mMD= (q*L42)/80.30kN x mMc= - (qL22)/12-0.28kN x mME=0.00kN x m0.4290.5710.4180.5820.61020.3898-41.6027.73-27.7314.33-14.3329.625.947.92=>3.963.955.49=>2.75-5.50 para Q = 0 => x = R/q =0.63m0.89m0.54m0.80mM = M + R*x - q*x2/2M mx Tramo AB =0.26kN x m2.57tf x cmp/ x =0.63mM mx Tramo BC =0.16kN x m1.55tf x cmp/ x =0.89mM mx Tramo CD =0.02kN x m0.15tf x cmp/ x =0.54mM mx Tramo CD =0.19kN x m1.94tf x cmp/ x =0.80m(tf)RA =8.17RB =24.16RC =16.30RD =18.36RE =7.10VIGAV10DIAGRAMAS DOS ESFOROS SOLICITANTESkN/mkN/mkN/mkN/mq1 =1.30q2 =1.30q3 =1.30q4 =1.30ABCDEL1 =1.60L2 =1.60L3 =1.15L4 =1.35Q(kN)0.821.150.701.041.260.930.790.710.630.890.540.80M(kN x m)0.360.180.230.260.160.020.19CLCULO DE VIGASVIGAV6HIPERESTTICAS4 TRAMOSkN/mkN/mkN/mkN/mq1 =1.81q2 =1.81q3 =1.81q4 =1.81ABCDEL1 =2.60L2 =2.60L3 =2.40L4 =2.63MiBA = 3 x E x I / L1=1.1538E IBeta BA =0.429MiBC = 4 x E x I / L2=1.5385E IBeta BC =0.571Somatria2.6923E IMiCB = 4 x E x I / L2=1.5385E IBeta CB =0.480MiCD = 4 x E x I / L3=1.6667E IBeta CD =0.520Somatria3.2051E IMiDC = 4 x E x I / L3=1.6667E IBeta DC =0.593MiDE = 3 x E x I / L4=1.1429E IBeta DE =0.407Somatria2.8095E IMomentos de PartidaTRAMO ABTRAMO CDMA=0.00kN x mMC= (qL32)/120.87kN x mMB= - (q*L12)/8-1.53kN x mMD= - (qL32)/12-0.87kN x mTRAMO BCTRAMO DEMB= (qL22)/121.02kN x mMD= (q*L42)/81.56kN x mMc= - (qL22)/12-1.02kN x mME=0.00kN x m0.4290.5710.4800.5200.59320.4068-152.95101.96-101.9686.88-86.88155.9021.8529.13=>14.570.250.27=>0.13-20.51 para Q = 0 => x = R/q =1.02m1.41m1.08m1.58mM = M + R*x - q*x2/2M mx Tramo AB =0.94kN x m9.44tf x cmp/ x =1.02mM mx Tramo BC =0.50kN x m4.99tf x cmp/ x =1.41mM mx Tramo CD =0.29kN x m2.90tf x cmp/ x =1.08mM mx Tramo CD =0.99kN x m9.86tf x cmp/ x =1.58m(tf)RA =18.49RB =54.17RC =41.08RD =52.45RE =18.89VIGAV60DIAGRAMAS DOS ESFOROS SOLICITANTESkN/mkN/mkN/mkN/mq1 =1.81q2 =1.81q3 =1.81q4 =1.81ABCDEL1 =2.60L2 =2.60L3 =2.40L4 =2.63Q(kN)1.852.561.962.862.862.152.381.891.021.411.081.58M(kN x m)1.310.771.280.940.500.290.99CLCULO DE VIGASVIGAV8HIPERESTTICAS3 TRAMOS(kN/m)(kN/m)(kN/m)q1 =1.81q2 =1.81q3 =1.81ABCDL1 =2.60L2 =2.60L3 =1.65MiBA = 3 x E x I / L1=1.1538E IBeta BA =0.429MiBC = 4 x E x I / L2=1.5385E IBeta BC =0.571Somatria2.6923E IMiCB = 4 x E x I / L2=1.5385E IBeta CB =0.458MiCD = 3 x E x I / L3=1.8182E IBeta CD =0.542Somatria3.3566E IMomentos de PartidaTRAMO ABTRAMO CDMA=0.00tf x mMC= (q*L32)/80.62tf x mMB= - (q*L12)/8-1.53tf x mMD=0.00tf x mTRAMO BCMB= (qL22)/121.02tf x mMc= - (qL22)/12-1.02tf x m0.430.570.460.54-152.95101.96-101.9661.6021.8529.13==>14.575.91-1.690.39-0.110.050.06-133.80133.80-76.5576.55REAES DE APOIOTramo ABTramo BCTramo CDMOMENTOSq=1.811.34q=1.810.77q=1.81ABCDL1 =2.60L2 =2.60L3 =1.65(q*L1)/22.352.35(q*L2)/22.352.35(q*L3)/21.491.49M/L1-0.510.51M/L20.22-0.22M/L30.46-0.46Somatria1.842.87Somatria2.572.13Somatria1.961.03RA =1.84RB =5.44RC =4.09RD =1.03(kN)Q = R - q* xPara Q = 0 => x =1.02m1.42m1.08mM = M + R*x - q*x2/2M mx Tramo AB =0.93kN x m9.34tf * cmp/ x =1.02mM mx Tramo BC =0.49kN x m4.91tf * cmp/ x =1.42mM mx Tramo CD =0.29kN x m2.93tf * cmp/ x =1.08mVIGAV80.00DIAGRAMAS DOS ESFOROS SOLICITANTES(tf/m)(tf/m)q1 =1.81q2 =1.81q3 =1.81ABCDL1 =2.60L2 =2.60L3 =1.65Q(tf)1.842.57-2.132.871.031.021.08M(tf*m)0.771.340.490.930.29

Plan - Base - Clculo1Clculo para viga biapoiada com carga uniformemente distribuda e uma fora concentradaCargaq =3.00KN/mVoL =1.23mFora ConcentradaP =0.69KNTramo 1a =0.54mTramo 2b =0.69mRA =2.23KNRB =2.15KNPara x =0.00Q =2.23Para x =0.54Q =0.61Para x =0.69Q =-2.15Para x =0.00MA =0.00Para x =0.54M1 =0.77Para x =0.69MB =0.002Clculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasCargaq =2.89KN/mVoL =3.53mFora ConcentradaP1 =20.82KNFora ConcentradaP2 =12.44KNTramo 1a =1.13mTramo 2b =1.25mTramo 3c =1.15mRA =23.31KNRB =20.15KNPara x =0.00Q =23.31KNPara x =1.13Q =20.04KNPara x =1.25Q =-4.39KNPara x =1.15Q =-20.15KNPara x =0.00MA =0.00KN x mPara x =1.13M1 =24.49KN x mPara x =1.25M2 =21.26KN x mPara x =1.15MB =0.00KN x m3Clculo para viga biapoiada com carga uniformemente distribuda e trs foras concentradasCargaq =4.06KN/mVoL =3.37mFora ConcentradaP1 =5.44KNFora ConcentradaP2 =5.44KNFora ConcentradaP3 =5.44KNTramo 1a =0.44mTramo 2b =1.15mTramo 3c =0.74mTramo 4d =1.04mRA =16.12KNRB =13.88KNPara x =0.00Q =16.12KNPara x =0.44Q =14.34KNPara x =1.15Q =4.23KNPara x =0.74Q =-4.22KNPara x =1.04Q =-13.88KNPara x =0.00MA =0.00KN x mPara x =0.44M1 =6.70KN x mPara x =1.15M2 =14.25KN x mPara x =0.74MB =12.24KN x mPara x =1.04MB =0.00KN x m4Clculo para viga biapoiada com carga uniformemente distribuda e quatro foras concentradasCargaq =2.62KN/mLaLbFora ConcentradaP1 =5.82KN0.000.00Fora ConcentradaP2 =5.82KN0.000.00Fora ConcentradaP3 =5.82KN0.000.00Fora ConcentradaP4 =5.82KN0.000.00Tramo 1a =1.20m0.000.00Tramo 2b =1.25mTramo 3c =1.25mTramo 4d =1.25mTramo 5e =0.42mVoL =5.37mRA =7.03KNRB =7.03KNPara x =0.00Q =7.03KNPara x =1.20Q =7.03KNPara x =1.25Q =1.21KNPara x =1.25Q =-4.61KNPara x =1.25Q =-10.43KNPara x =0.42Q =-16.25KNPara x =0.00MA =0.00KN x mPara x =1.20M1 =8.44KN x mPara x =1.25M2 =9.96KN x mPara x =1.25M3 =4.20KN x mPara x =1.25M4 =-8.83KN x mPara x =0.42MB =-15.65KN x m5Clculo para viga biapoiada com carga uniformemente distribuda e quatro cinco concentradasCargaq =1.96KN/mLaLbFora ConcentradaP1 =2.52KN0.000.00Fora ConcentradaP2 =2.52KN0.000.00Fora ConcentradaP3 =2.52KN0.000.00Fora ConcentradaP4 =2.52KN0.000.00Fora ConcentradaP5 =2.52KN0.000.00Tramo 1a =0.40m0.000.00Tramo 2b =1.20mTramo 3c =1.20mTramo 4d =1.20mTramo 5e =1.20mTramo 6f =1.20mVoL =6.40mRA =6.27KNRB =6.27KNPara x =0.00Q =6.27KNPara x =0.40Q =5.49KNPara x =1.20Q =0.62KNPara x =1.20Q =-4.25KNPara x =1.20Q =-9.13KNPara x =1.20Q =-14.00KNPara x =1.20Q =-18.87KNPara x =0.00MA =0.00KN x mPara x =0.40M1 =2.33KN x mPara x =1.20M2 =4.49KN x mPara x =1.20M3 =0.80KN x mPara x =1.20M4 =-8.74KN x mPara x =1.20M4 =-24.13KN x mPara x =1.20MB =-45.36KN x m6Clculo para viga biapoiada com carga uniformemente distribuda e seis concentradasCargaq =2.62KN/mLaLbFora ConcentradaP1 =5.82KN0.007.87Fora ConcentradaP2 =5.82KN0.007.87Fora ConcentradaP3 =5.82KN0.007.87Fora ConcentradaP4 =5.82KN0.007.87Fora ConcentradaP5 =5.82KN0.007.87Fora ConcentradaP6 =5.82KN0.007.87Tramo 1a =1.20m0.007.87Tramo 2b =1.25mTramo 3c =1.25mTramo 4d =1.25mTramo 5e =1.25mTramo 6f =1.25mTramo 7g =0.42mVoL =7.87mRA =45.23KNRB =10.31KNPara x =0.00Q =45.23KNPara x =1.20Q =42.09KNPara x =1.25Q =32.99KNPara x =1.25Q =23.90KNPara x =1.25Q =14.80KNPara x =1.25Q =5.71KNPara x =1.25Q =-3.39KNPara x =0.42Q =-10.31KNPara x =0.00MA =0.00KN x mPara x =1.20M1 =52.39KN x mPara x =1.25M2 =95.67KN x mPara x =1.25M3 =127.59KN x mPara x =1.25M4 =148.14KN x mPara x =1.25M4 =157.32KN x mPara x =1.25MB =155.13KN x mPara x =0.42MB =151.03KN x m7Clculo para viga biapoiada com carga uniformemente distribuda e sete concentradasCargaq =3.00KN/mLaLbFora ConcentradaP1 =5.44KN0.000.00Fora ConcentradaP2 =5.44KN0.000.00Fora ConcentradaP3 =5.44KN0.000.00Fora ConcentradaP4 =5.44KN0.000.00Fora ConcentradaP5 =5.44KN0.000.00Fora ConcentradaP6 =5.44KN0.000.00Fora ConcentradaP7 =5.44KN0.000.00Tramo 1a =1.45m0.000.00Tramo 2b =1.45mTramo 3c =1.45mTramo 4d =1.45mTramo 5e =1.45mTramo 6f =1.45mTramo 7g =1.45mTramo 8h =1.45mVoL =11.60mRA =17.40KNRB =17.40KNPara x =0.00Q =17.40KNPara x =1.45Q =17.40KNPara x =1.45Q =11.96KNPara x =1.45Q =6.52KNPara x =1.45Q =1.08KNPara x =1.45Q =-4.36KNPara x =1.45Q =-9.80KNPara x =1.45Q =-15.24KNPara x =1.45Q =-20.68KNPara x =0.00MA =0.00KN x mPara x =1.45M1 =22.08KN x mPara x =1.45M2 =36.26KN x mPara x =1.45M3 =42.56KN x mPara x =1.45M4 =40.98KN x mPara x =1.45M4 =31.50KN x mPara x =1.45MB =14.14KN x mPara x =1.45MB =-11.11KN x mPara x =1.45MB =-44.25KN x m

Novo ClculoSTOPResoluo esttica das vigasSTOP1Clculo para viga biapoiada com carga uniformemente distribuda e uma fora concentrada4Clculo para viga biapoiada com carga uniformemente distribudaSTOPCarregamentoSTOPCargaq =0.74KN/mCargaq =1.81KN/mSTOPVoL =1.70mVoL =1.90mSobrecarga2.00kN/mSTOPFora ConcentradaP =2.93KNPeso prprio0.50kN/mSTOPTramo 1a =0.85mRA =1.72KNTotal2.50kN/mSTOPTramo 2b =0.85mRB =1.72KNCoef. Majorao1.30STOPPara x =0.00Q =1.72STOPRA =2.09KNPara x =0.95Q =0.00Solicitao de clculo (Sd)3.25kN/mSTOPRB =2.09KNPara x =1.90Q =-1.72STOPPara x =0.00Q =2.09STOPPara x =0.85Q =1.47Para x =0.00MA =0.00Distribuio da carga dos painis Wall nas vigasqx = (Sd x Lx)/4K = (Ly / Lx)STOPPara x =0.85Q =-2.09Para x =0.95M1 =0.82qy = ((Sd x Lx)/4) x (((2 x K) - 1)/4)STOPPara x =1.90MB =0.00PainelMenor vo = LxMaior vo = LyqxqySTOPPara x =0.00MA =0.00PN11.201.500.981.17STOPPara x =0.85M1 =1.51PN21.251.501.021.18STOPPara x =0.85MB =0.005Clculo para viga biapoiada com carga uniformemente distribuda e Seis foras concentradasPN31.251.501.021.18STOPPN41.251.501.021.18STOP2Clculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasCargaq =3.00KN/mL1PN50.771.500.630.93STOP2.48a =PN61.202.410.981.46STOPCargaq =1.09KN/mFora ConcentradaP1 =1.60KN2.48a+b =PN71.252.411.021.50STOPVoL =2.85mFora ConcentradaP2 =1.60KN2.48a+b+c =PN81.252.411.021.50STOPFora ConcentradaP1 =1.36KNFora ConcentradaP3 =1.60KN2.48a+b+c+d =PN91.252.411.021.50STOPFora ConcentradaP2 =1.36KNFora ConcentradaP4 =1.60KN2.48a+b+c+d+e =PN100.772.410.631.05STOPTramo 1a =0.35mFora ConcentradaP5 =1.60KN2.48a+b+c+d+e+f =PN111.202.640.981.51STOPTramo 2b =1.25mFora ConcentradaP6 =1.60KN2.48a+b+c+d+e+f+g =PN121.252.641.021.55STOPTramo 3c =1.25mPN131.252.641.021.55STOPTramo 1a =0.43m(P1 x L1)/ L1.60(P1 x L2)/ LPN141.252.641.021.55STOPRA =3.34KNTramo 2b =1.00m(P2 x L1)/ L1.60(P2 x L2)/ LPN150.772.640.631.07STOPRB =2.48KNTramo 3c =1.00m(P3 x L1)/ L1.60(P3 x L2)/ LPN161.202.630.981.50STOPPara x =0.00Q =3.34KNTramo 4d =1.00m(P4 x L1)/ L1.60(P4 x L2)/ LPN171.252.631.021.55STOPPara x =0.35Q =2.96KNTramo 5e =1.00m(P5 x L1)/ L1.60(P5 x L2)/ LPN181.252.631.021.55STOPPara x =1.25Q =0.24KNTramo 6f =1.00m(P6 x L1)/ L1.60(P6 x L2)/ LPN191.252.631.021.55STOPPara x =1.25Q =-2.48KNTramo 7g =0.43mq x L / 28.79q x L / 2PN200.772.630.631.07STOPVoL =5.86mSTOPPara x =0.00MA =0.00KN x mRA =18.39RB =VTViga biapoiada com carregamento distribuido uniformementeSTOPPara x =0.35M1 =1.10KN x mSTOPPara x =1.25M2 =2.25KN x mQ = R - q x Xq =2.80kN/mSTOPPara x =1.25MB =0.00KN x mL =1.77mSTOPRA =2.48kNSTOPRB =2.48kNSTOPMm =1.10kN x mSTOP3Clculo para viga biapoiada com carga uniformemente distribuda e trs foras concentradasPara x =0.00Q = R - (q * X)Q = RA =>Q =STOPPara x =0.43a =0.43Q = R - (q * X) -P1 =Q =STOPCargaq =4.06KN/mPara x =1.43b =1.00Q = R - (q * X) -P2 =Q =VLClculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasSTOPVoL =3.37mPara x =2.43c =1.00Q = R - (q * X) -P3 =Q =STOPFora ConcentradaP1 =5.44KNPara x =3.43d =1.00Q = R - (q * X) -P4 =Q =Cargaq =1.09KN/mSTOPFora ConcentradaP2 =5.44KNPara x =4.43e =1.00Q = R - (q * X) -P5 =Q =VoL =2.85mSTOPFora ConcentradaP3 =5.44KNPara x =5.43f =1.00Q = R - (q * X) -P6 =Q =Fora ConcentradaP1 =6.76KNSTOPTramo 1a =0.44mPara x =5.86g =0.43Q = R - (q * X)Q = RB =>Q =Fora ConcentradaP2 =6.76KNSTOPTramo 2b =1.15mL =5.86Tramo 1a =0.35mSTOPTramo 3c =0.74mTramo 2b =1.25mSTOPTramo 4d =1.04mM = - M + R * X - (q * X2) / 2Tramo 3c =1.25mSTOPSTOPRA =16.12KNPara x =0.00MA =0.00RA =10.45KNSTOPRB =13.88KNPara x =0.43a =0.430.43M1 =0.00RB =6.18KNSTOPPara x =0.00Q =16.12KNPara x =1.43b =1.001.00M2 =0.00Para x =0.00Q =10.45KNSTOPPara x =0.44Q =14.34KNPara x =2.43c =1.001.00MB =0.00Para x =0.35Q =10.07KNSTOPPara x =1.15Q =4.23KNPara x =3.43d =1.001.00MB =0.00Para x =1.25Q =1.94KNSTOPPara x =0.74Q =-4.22KNPara x =4.43e =1.000.00Para x =1.25Q =-6.18KNSTOPPara x =1.04Q =-13.88KNPara x =5.43f =1.000.00STOPPara x =5.86g =0.430.00Para x =0.00MA =0.00KN x mSTOPPara x =0.00MA =0.00KN x mPara x =0.35M1 =3.59KN x mSTOPPara x =0.44M1 =6.70KN x mPara x =1.25M2 =6.87KN x mSTOPPara x =1.15M2 =14.25KN x mPara x =1.25MB =-0.00KN x mSTOPPara x =0.74MB =12.24KN x mSTOPPara x =1.04MB =0.00KN x mV1Clculo para viga biapoiada com carga uniformemente distribuda e quatro foras concentradasSTOPSTOP4Clculo para viga biapoiada com carga uniformemente distribuda e quatro foras concentradasCargaq =2.62KN/mLaLbSTOPFora ConcentradaP1 =6.38KN1.254.47a =1.25STOPCargaq =2.62KN/mLaLbFora ConcentradaP2 =6.38KN2.503.22a+b =2.50STOPFora ConcentradaP1 =5.82KN1.204.17a =1.20Fora ConcentradaP3 =6.38KN3.751.97a+b+c =3.75STOPFora ConcentradaP2 =5.82KN2.452.92a+b =2.45Fora ConcentradaP4 =6.38KN5.000.72a+b+c+d =5.00STOPFora ConcentradaP3 =5.82KN3.701.67a+b+c =3.70Tramo 1a =1.25m5.720.00a+b+c+d+e =5.72STOPFora ConcentradaP4 =5.82KN4.950.42a+b+c+d =4.95Tramo 2b =1.25mSTOPTramo 1a =1.20m5.370.00a+b+c+d+e =5.37Tramo 3c =1.25mSTOPTramo 2b =1.25mTramo 4d =1.25mSTOPTramo 3c =1.25mTramo 5e =0.72mSTOPTramo 4d =1.25mVoL =5.72mSTOPTramo 5e =0.42mSTOPVoL =5.37mSTOPSTOPRA =19.07KNSTOPRB =21.44KNSTOPRA =16.98KNPara x =0.00Q =19.07KNSTOPRB =20.37KNPara x =1.25Q =15.80KNSTOPPara x =0.00Q =16.98KNPara x =1.25Q =6.14KNSTOPPara x =1.20Q =13.84KNPara x =1.25Q =-3.51KNSTOPPara x =1.25Q =4.74KNPara x =1.25Q =-13.17KNSTOPPara x =1.25Q =-4.35KNPara x =0.72Q =-21.44KNSTOPPara x =1.25Q =-13.45KNSTOPPara x =0.42Q =-20.37KNPara x =0.00MA =0.00KN x mSTOPPara x =1.25M1 =21.79KN x mSTOPPara x =0.00MA =0.00KN x mPara x =1.25M2 =31.51KN x mSTOPPara x =1.20M1 =18.49KN x mPara x =1.25M3 =29.17KN x mSTOPPara x =1.25M2 =26.47KN x mPara x =1.25M4 =14.75KN x mSTOPPara x =1.25M3 =23.08KN x mPara x =0.72MB =-0.00KN x mSTOPPara x =1.25M4 =8.32KN x mSTOPPara x =0.42MB =0.00KN x mV4Clculo para viga biapoiada com carga uniformemente distribuda e quatro foras concentradasSTOP=V5STOP5Clculo para viga biapoiada com carga uniformemente distribuda e quatro cinco concentradas=V6Cargaq =3.05KN/mLaLbSTOPFora ConcentradaP1 =13.10KN1.254.47a =1.25STOPCargaq =2.80KN/mLaLbFora ConcentradaP2 =13.10KN2.503.22a+b =2.50STOPFora ConcentradaP1 =2.48KN1.113.69a =1.11Fora ConcentradaP3 =13.10KN3.751.97a+b+c =3.75STOPFora ConcentradaP2 =2.48KN1.653.15a+b =1.65Fora ConcentradaP4 =13.10KN5.000.72a+b+c+d =5.00STOPFora ConcentradaP3 =2.48KN1.992.82a+b+c =1.99Tramo 1a =1.25m5.720.00a+b+c+d+e =5.72STOPFora ConcentradaP4 =2.48KN3.101.71a+b+c+d =3.10Tramo 2b =1.25mSTOPFora ConcentradaP5 =2.48KN4.050.75a+b+c+d+e =4.05Tramo 3c =1.25mSTOPTramo 1a =1.11m4.800.00a+b+c+d+e+f =4.80Tramo 4d =1.25mSTOPTramo 2b =0.54mTramo 5e =0.72mSTOPTramo 3c =0.49mVoL =5.72mSTOPTramo 4d =0.96mSTOPTramo 5e =0.96mSTOPTramo 6f =0.75mSTOPVoL =4.80mRA =32.50KNSTOPRB =37.35KNSTOPRA =12.98KNPara x =0.00Q =32.50KNSTOPRB =12.86KNPara x =1.25Q =29.22KNSTOPPara x =0.00Q =12.98KNPara x =1.25Q =12.85KNSTOPPara x =1.11Q =9.87KNPara x =1.25Q =-3.53KNSTOPPara x =0.54Q =5.88KNPara x =1.25Q =-19.90KNSTOPPara x =0.49Q =2.02KNPara x =0.72Q =-34.89KNSTOPPara x =0.96Q =-3.13KNSTOPPara x =0.96Q =-8.28KNPara x =0.00MA =0.00KN x mSTOPPara x =0.75Q =-12.86KNPara x =1.25M1 =38.57KN x mSTOPPara x =1.25M2 =56.68KN x mSTOPPara x =0.00MA =0.00KN x mPara x =1.25M3 =54.31KN x mSTOPPara x =1.11M1 =12.68KN x mPara x =1.25M4 =31.48KN x mSTOPPara x =0.54M2 =16.26KN x mPara x =0.72MB =7.03KN x mSTOPPara x =0.49M3 =17.59KN x mSTOPPara x =0.96M4 =15.88KN x mV7Clculo para viga biapoiada com carga uniformemente distribuda e quatro foras concentradasSTOPPara x =0.96M4 =9.24KN x mSTOPPara x =0.75MB =0.38KN x mCargaq =1.55KN/mLaLbSTOPFora ConcentradaP1 =6.72KN1.254.47a =1.25STOP6Clculo para viga biapoiada com carga uniformemente distribuda e seis concentradasFora ConcentradaP2 =6.72KN2.503.22a+b =2.50STOPFora ConcentradaP3 =6.72KN3.751.97a+b+c =3.75STOPCargaq =2.62KN/mLaLbFora ConcentradaP4 =6.72KN5.000.72a+b+c+d =5.00STOPFora ConcentradaP1 =5.82KN1.206.67a =1.20Tramo 1a =1.25m5.720.00a+b+c+d+e =5.72STOPFora ConcentradaP2 =5.82KN2.455.42a+b =2.45Tramo 2b =1.25mSTOPFora ConcentradaP3 =5.82KN3.754.12a+b+c =3.75Tramo 3c =1.25mSTOPFora ConcentradaP4 =5.82KN4.952.92a+b+c+d =4.95Tramo 4d =1.25mSTOPFora ConcentradaP5 =5.82KN6.201.67a+b+c+d+e =6.20Tramo 5e =0.72mSTOPFora ConcentradaP6 =5.82KN7.450.42a+b+c+d+e+f =7.45VoL =5.72mSTOPTramo 1a =1.20m7.870.00a+b+c+d+e+f+g =7.87STOPTramo 2b =1.25mSTOPTramo 3c =1.25mSTOPTramo 4d =1.25mRA =16.63KNSTOPTramo 5e =1.25mRB =19.12KNSTOPTramo 6f =1.25mPara x =0.00Q =16.63KNSTOPTramo 7g =0.42mPara x =1.25Q =13.35KNSTOPVoL =7.87mPara x =1.25Q =3.36KNSTOPPara x =1.25Q =-6.64KNSTOPRA =26.00KNPara x =1.25Q =-16.63KNSTOPRB =29.54KNPara x =0.72Q =-25.24KNSTOPSTOPPara x =0.00Q =26.00KNPara x =0.00MA =0.00KN x mSTOPPara x =1.20Q =22.86KNPara x =1.25M1 =18.74KN x mSTOPPara x =1.25Q =13.76KNPara x =1.25M2 =24.98KN x mSTOPPara x =1.25Q =4.67KNPara x =1.25M3 =18.73KN x mSTOPPara x =1.25Q =-4.43KNPara x =1.25M4 =-0.01KN x mSTOPPara x =1.25Q =-13.52KNPara x =0.72MB =-17.50KN x mSTOPPara x =1.25Q =-22.62KNSTOPPara x =0.42Q =-29.54KNV9Clculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasSTOP=V13STOPCargaq =1.55KN/mSTOPVoL =2.63mSTOPPara x =0.00MA =0.00KN x mFora ConcentradaP1 =1.23KNSTOPPara x =1.20M1 =29.32KN x mFora ConcentradaP2 =1.23KNSTOPPara x =1.25M2 =48.57KN x mTramo 1a =0.85mSTOPPara x =1.25M3 =56.45KN x mTramo 2b =1.20mSTOPPara x =1.25M4 =52.96KN x mTramo 3c =0.57mSTOPPara x =1.25M4 =38.11KN x mSTOPPara x =1.25MB =11.88KN x mRA =3.13KNSTOPPara x =0.42MB =-0.29KN x mRB =3.40KNSTOPPara x =0.00Q =3.13KNSTOP7Clculo para viga biapoiada com carga uniformemente distribuda e sete concentradasPara x =0.85Q =1.81KNSTOPPara x =1.20Q =-1.28KNSTOPCargaq =3.00KN/mLaLbPara x =0.57Q =-3.40KNSTOPFora ConcentradaP1 =5.44KN1.4510.15a =1.45STOPFora ConcentradaP2 =5.44KN2.908.70a+b =2.90Para x =0.00MA =0.00KN x mSTOPFora ConcentradaP3 =5.44KN4.357.25a+b+c =4.35Para x =0.85M1 =2.11KN x mSTOPFora ConcentradaP4 =5.44KN5.805.80a+b+c+d =5.80Para x =1.20M2 =1.69KN x mSTOPFora ConcentradaP5 =5.44KN7.254.35a+b+c+d+e =7.25Para x =0.57MB =0.00KN x mSTOPFora ConcentradaP6 =5.44KN8.702.90a+b+c+d+e+f =8.70STOPFora ConcentradaP7 =5.44KN10.151.45a+b+c+d+e+f+g =10.15V10Clculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasSTOPTramo 1a =1.45m11.600.00a+b+c+d+e+f+g+h =11.60=V14STOPTramo 2b =1.45mCargaq =1.55KN/mSTOPTramo 3c =1.45mVoL =2.64mSTOPTramo 4d =1.45mFora ConcentradaP1 =1.23KNSTOPTramo 5e =1.45mFora ConcentradaP2 =1.23KNSTOPTramo 6f =1.45mTramo 1a =0.63mSTOPTramo 7g =1.45mTramo 2b =1.20mSTOPTramo 8h =1.45mTramo 3c =0.81mSTOPVoL =11.60mSTOPRA =3.36KNSTOPRA =36.44KNRB =3.19KNSTOPRB =36.44KNPara x =0.00Q =3.36KNSTOPPara x =0.63Q =2.39KNSTOPPara x =1.20Q =-0.70KNSTOPPara x =0.00Q =36.44KNPara x =0.81Q =-3.19KNSTOPPara x =1.45Q =32.64KNSTOPPara x =1.45Q =23.40KNPara x =0.00MA =0.00KN x mSTOPPara x =1.45Q =14.16KNPara x =0.63M1 =1.81KN x mSTOPPara x =1.45Q =4.92KNPara x =1.20M2 =2.08KN x mSTOPPara x =1.45Q =-4.32KNPara x =0.81MB =0.00KN x mSTOPPara x =1.45Q =-13.55KNSTOPPara x =1.45Q =-22.79KNV11Clculo para viga biapoiada com carga uniformemente distribuda e duas foras concentradasSTOPPara x =1.45Q =-32.03KNSTOPCargaq =1.55KN/mSTOPPara x =0.00MA =0.00KN x mVoL =2.41mSTOPPara x =1.45M1 =49.68KN x mFora ConcentradaP1 =1.23KNSTOPPara x =1.45M2 =85.97KN x mFora ConcentradaP2 =1.23KNSTOPPara x =1.45M3 =108.86KN x mTramo 1a =0.39mSTOPPara x =1.45M4 =118.36KN x mTramo 2b =1.20mSTOPPara x =1.45M4 =114.46KN x mTramo 3c =0.82mSTOPPara x =1.45MB =97.16KN x mSTOPPara x =1.45MB =66.46KN x mRA =3.32KNSTOPPara x =1.45MB =22.37KN x mRB =2.88KNSTOPPara x =0.00Q =3.32KNSTOPPara x =0.39Q =2.71KNSTOPPara x =1.20Q =-0.38KNSTOPPara x =0.82Q =-2.88KNSTOPSTOPPara x =0.00MA =0.00KN x mSTOPPara x =0.39M1 =1.17KN x mSTOPPara x =1.20M2 =1.84KN x mSTOPPara x =0.82MB =0.00KN x mSTOPSTOPV12Clculo para viga biapoiada com carga uniformemente distribuda e uma fora concentradaSTOP=V15STOPCargaq =1.55KN/mSTOPVoL =1.50mSTOPFora ConcentradaP =1.23KNSTOPTramo 1a =0.38mSTOPTramo 2b =1.12mSTOPSTOPRA =2.08KNSTOPRB =1.47KNSTOPPara x =0.00Q =2.08STOPPara x =0.38Q =1.49STOPPara x =1.12Q =-1.47STOPSTOPPara x =0.00MA =0.00STOPPara x =0.38M1 =0.68STOPPara x =1.12MB =0.00STOPSTOPV2Viga biapoiada com carregamento distribuido uniformementeSTOP=V3STOPq =1.55kN/mSTOPL =2.00mSTOPRA =1.55kNSTOPRB =1.55kNSTOPMm =0.78kN x mSTOPSTOPV8Viga biapoiada com carregamento distribuido uniformementeSTOPSTOPq =1.55kN/mSTOPL =1.00mSTOPRA =0.78kNSTOPRB =0.78kNSTOPMm =0.19kN x mSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOPSTOP