Hoja1DIBUJO DE LA ESTRUCTURAEJERICIO NUMERO 1Determine los momentos en los extremos de las barras, determine ademas los diagrama de los momentos flectores I=2.1x10^11 N/m2 , I=68000,A=56cm2PASO 1: CALCULO DE MATRIZ DE RIGIDEZ GLOBAL DE LA ESTRUCTURA

ELEMENTO 1E2.10E+08Cx0.0000XYCodigos Grados de LibertadI6.54E-04Cy1.0000Ni00131410A0.0014L5.0000Nf05123

xygxygxygxyg0.00001.00000.00000.00000.00000.0000x58800.000.000.00-58800.000.000.00x-1.00000.00000.00000.00000.00000.0000y0.0013184.6432961.600.00-13184.6432961.60yAt0.00000.00001.00000.00000.00000.0000gK'0.0032961.60109872.000.00-32961.6054936.00g0.00000.00000.00000.00001.00000.0000x-58800.000.000.0058800.000.000.00x0.00000.00000.0000-1.00000.00000.0000y0.00-13184.64-32961.600.0013184.64-32961.60y0.00000.00000.00000.00000.00001.0000g0.0032961.6054936.000.00-32961.60109872.00g

13141012313184.640.00-32961.60-13184.640.00-32961.60130.0058800.000.000.00-58800.000.0014K1-32961.600.00109872.0032961.600.0054936.0010-13184.640.0032961.6013184.640.0032961.6010.00-58800.000.000.0058800.000.002-32961.600.0054936.0032961.600.00109872.003

ELEMENTO 2E2.10E+08Cx1.0000XYCodigos Grados de LibertadI6.54E-04Cy0.0000Ni05123A0.0014L4.0000Nf45567

xygxygxygxyg1.00000.00000.00000.00000.00000.0000x73500.000.000.00-73500.000.000.00x0.00001.00000.00000.00000.00000.0000y0.0025751.2551502.500.00-25751.2551502.50yAt0.00000.00001.00000.00000.00000.0000gK'0.0051502.50137340.000.00-51502.5068670.00g0.00000.00000.00001.00000.00000.0000x-73500.000.000.0073500.000.000.00x0.00000.00000.00000.00001.00000.0000y0.00-25751.25-51502.500.0025751.25-51502.50y0.00000.00000.00000.00000.00001.0000g0.0051502.5068670.000.00-51502.50137340.00g

12356773500.000.000.00-73500.000.000.0010.0025751.2551502.500.00-25751.2551502.502K20.0051502.50137340.000.00-51502.5068670.003|-73500.000.000.0073500.000.000.0050.00-25751.25-51502.500.0025751.25-51502.5060.0051502.5068670.000.00-51502.50137340.007

ELEMENTO 3E2.10E+08Cx0.0000XYCodigos Grados de LibertadI6.54E-04Cy-1.0000Ni45567A0.0014L5.0000Nf4011128

xygxygxygxyg0.0000-1.00000.00000.00000.00000.0000x58800.000.000.00-58800.000.000.00x1.00000.00000.00000.00000.00000.0000y0.0013184.6432961.600.00-13184.6432961.60yAt0.00000.00001.00000.00000.00000.0000gK'0.0032961.60109872.000.00-32961.6054936.00g0.00000.00000.00000.0000-1.00000.0000x-58800.000.000.0058800.000.000.00x0.00000.00000.00001.00000.00000.0000y0.00-13184.64-32961.600.0013184.64-32961.60y0.00000.00000.00000.00000.00001.0000g0.0032961.6054936.000.00-32961.60109872.00g

5671112813184.640.0032961.60-13184.640.0032961.6050.0058800.000.000.00-58800.000.006K332961.600.00109872.00-32961.600.0054936.007|-13184.640.00-32961.6013184.640.00-32961.60110.00-58800.000.000.0058800.000.001232961.600.0054936.00-32961.600.00109872.008

ELEMENTO 4E2.10E+08Cx-1.0000XYCodigos Grados de LibertadI6.54E-04Cy0.0000Ni4011128A0.0014L4.0000Nf00131410

xygxygxygxyg-1.00000.00000.00000.00000.00000.0000x73500.000.000.00-73500.000.000.00x0.0000-1.00000.00000.00000.00000.0000y0.0025751.2551502.500.00-25751.2551502.50yAt0.00000.00001.00000.00000.00000.0000gK'0.0051502.50137340.000.00-51502.5068670.00g0.00000.00000.0000-1.00000.00000.0000x-73500.000.000.0073500.000.000.00x0.00000.00000.00000.0000-1.00000.0000y0.00-25751.25-51502.500.0025751.25-51502.50y0.00000.00000.00000.00000.00001.0000g0.0051502.5068670.000.00-51502.50137340.00gD11=ERROR:#REF!D22=ERROR:#REF!Rot3=ERROR:#REF!11128131410D44=73500.000.000.00-73500.000.000.0011D55=0.0025751.25-51502.500.00-25751.25-51502.5012DesplazamientosRot66=K40.00-51502.50137340.000.0051502.5068670.008|Rot99=-73500.000.000.0073500.000.000.0013070.00-25751.2551502.500.0025751.2551502.5014080.00-51502.5068670.000.0051502.50137340.0010010011

ELEMENTO 5E2.10E+08Cx0.6247XYCodigos Grados de LibertadI6.54E-04Cy-0.7809Ni05124A0.0014L6.4031Nf4011129

xygxygxygxyg0.6247-0.78090.00000.00000.00000.0000x45915.090.000.00-45915.090.000.00x0.78090.62470.00000.00000.00000.0000y0.006277.7320098.540.00-6277.7320098.54yAt0.00000.00001.00000.00000.00000.0000gK'0.0020098.5485795.620.00-20098.5442897.81g0.00000.00000.00000.6247-0.78090.0000x-45915.090.000.0045915.090.000.00x0.00000.00000.00000.78090.62470.0000y0.00-6277.73-20098.540.006277.73-20098.54y0.00000.00000.00000.00000.00001.0000g0.0020098.5442897.810.00-20098.5485795.62g

1241112921745.97-19335.3015694.32-21745.9719335.3015694.321-19335.3030446.8512555.4619335.30-30446.8512555.462K515694.3212555.4685795.62-15694.32-12555.4642897.814|-21745.9719335.30-15694.3221745.97-19335.30-15694.321119335.30-30446.85-12555.46-19335.3030446.85-12555.461201215694.3212555.4642897.81-15694.32-12555.4685795.629

1234567891011121314108430.61-19335.3032961.6015694.32-73500.000.000.000.0015694.3232961.60-21745.9719335.30-13184.640.001-19335.30114998.1051502.5012555.460.00-25751.2551502.500.0012555.460.0019335.30-30446.850.00-58800.00232961.6051502.50247212.000.000.00-51502.5068670.000.000.0054936.000.000.00-32961.600.00315694.3212555.460.0085795.620.000.000.000.0042897.810.00-15694.32-12555.460.000.004-73500.000.000.000.0086684.640.0032961.6032961.600.000.00-13184.640.000.000.005K.GLOBAL ENSAMBLADA-ORDENADA0.00-25751.25-51502.500.000.0084551.25-51502.500.000.000.000.00-58800.000.000.0060.0051502.5068670.000.0032961.60-51502.50247212.0054936.000.000.00-32961.600.000.000.0070.000.000.000.0032961.600.0054936.00247212.000.0068670.00-32961.60-51502.500.0051502.50815694.3212555.460.0042897.810.000.000.000.0085795.620.00-15694.32-12555.460.000.00932961.600.0054936.000.000.000.000.0068670.000.00247212.000.00-51502.50-32961.6051502.5010-21745.9719335.300.00-15694.32-13184.640.00-32961.60-32961.60-15694.320.00108430.61-19335.30-73500.000.001119335.30-30446.850.00-12555.460.00-58800.000.00-51502.50-12555.46-51502.50-19335.30114998.100.00-25751.2512-13184.640.00-32961.600.000.000.000.000.000.00-32961.60-73500.000.0086684.640.00130.00-58800.000.000.000.000.000.0051502.500.0051502.500.00-25751.250.0084551.2514

PASO 2: CALCULO DE LOS DEPLAZAMIENTOS Y REACCIONES EXTERNAS

a) MOMENTOS DE EMPOTRAMIENTO

BARRA 1W=2L=5.0000

M=WL^2RA=WLB=122MA=4.167T.mRA=-5.000T.MB=-4.167T.mRB=-5.000T.

LGLxygWNi121314Rx12Ry13M14Nf123-5.0000-4.167A=

BARRA 2W=2L=4.0000

BM=WL^2RA=WL122WLMA=2.667T.mRA=-4.000T.MB=-2.667T.mRB=-4.000T.AGLxygNi123-4.00002.667Nf456-4.0000-2.667

BARRA 4W=3L=4.0000

BM=WL^2RA=WLGLxygL122Ni123AWMA=4.000T.mRA=-6.000T.-1.5006.7504.000MB=-4.000T.mRB=-6.000T.Nf8911-1.5006.750-4.000RAX=-1.500RAY=6.750RBX=-1.500RBY=6.750

150X2-40Y315G40G510X6-40Y726.67G80G90G10-41.67G11RX12RY13RX14RY

b) CALCULO DE DESPLASAMIENTOS Y FUERZAS

Fu=KuuKurDu+FeuFrkruKrrDrFer

Du=Kuu^-1 x (Fu-Feu)Fr=Kru x Du

50.001Dx11=-0.0365332589DESPLAZAMIENTOS-40.002Dy12=-0.030032546515.003G33=0.0067672770.004Dx34=0.0073852810.005Dy35=-0.0366001346-40.006G66=-0.000944258126.677G77=0.0074754765F0.008DDx88=0.00761708470.009Dy99=0.00738528-41.6710FEMG1010=0.0066661785RX11334.53352259480.00334.534011RY121150.00115.000REACCIONES 012RX13-394.5335225948-50-444.534-0.00513RY14-350.000-35.000-0.0314

PASO 3: CALCULO DE LAS FUERZAS INTERNAS

F=Kl x DlDl=At*D

ELEMENTO 1Codigos Grados de Libertad131410123

xygxyg0010000x-0.00513-100000y-0.0314At001000gD0.006666178510000010x-0.03653325891000-100y-0.03003254652000001g0.0067672773

FEMFUERZAS INTERNAS-0.0313-442.3590745405-50-492.35907454050.00514-1854.15562119860-1854.1556211986Dl0.006666178510Fl1103.120713485941.671144.7907134859-0.03003254651442.3590745405-50392.35907454050.036533258921854.155621198601854.15562119860.00676727731108.6746592164-41.671067.0046592164

ELEMENTO 2Codigos Grados de Libertad123567

FEMFUERZAS INTERNAS-0.03653325891-0.03653325894.915366007104.91536600711-0.03003254652-0.0300325465-15.52237514214024.47762485792D0.0067672773DL0.006767277FI-55.360779352226.67-28.69077935223-0.03660013465-0.0366001346-4.91536600710-4.91536600715-0.00094425816-0.000944258115.52237514214055.522375142160.007475476570.0074754765-6.7287212163-26.67-33.39872121637

ELEMNENTO 3Codigos Grados de Libertad56711128FEMFUERZAS INTERNAS-0.036600134650.000944258155.5223751421055.52237514215-0.00094425816-0.036600134614.91536600714054.91536600716D0.00747547657DL0.0074754765FL33.3987212163-26.676.728721216370110-55.52237514210-55.5223751421110120-14.91536600710-14.9153660071120.007617084780.007617084741.1781088192041.17810881928ELEMENTO 4Codigos Grados de Libertad11128131410FEMFUERZASINTERNAS0110-367.50-367.50120FL-36.91373561020-36.91373561020.00761708478DL0.0076170847-41.17810881920-41.1781088192D-0.005130.005367.5-50317.5-0.03140.0336.9137356102036.91373561020.0066661785100.0066661785-106.476833621841.67-64.8068336218