matriz de rigidez

ejemplo 3ANALISIS ESTRUCTURAL II

Profesor: Ing. Ovidio Serrano ZeladaAlumna:Eliza Barnuevo Pomape

BARRA 1Matriz de rigidez (coordenadas locales)yMatriz de transformacinE =2173706.51192842Tn/m2123456123456A =0.18m65211.200.000.00-65211.200.000.0011.000.000.000.000.000.001L =6mK' =0.00652.111956.340.00-652.111956.342T =0.001.000.000.000.000.002I=0.00540.001956.347825.340.00-1956.343912.6730.000.001.000.000.000.003Angulo =0-65211.200.000.0065211.200.000.0040.000.000.001.000.000.004Sen =0.0000rad0.00-652.11-1956.340.00652.11-1956.3450.000.000.000.001.000.005Cos =1.0000rad0.001956.343912.670.00-1956.347825.3460.000.000.000.000.001.006EA/L =65211.20Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas12345665211.200.000.00-65211.200.000.0010.5810.58185.1791559604TnK =0.00652.111956.340.00-652.111956.342-0.002-0.002172.31Tn0.001956.347825.340.00-1956.343912.673-0.273-0.273577.81Tn-65211.200.000.0065211.200.000.0040.5840.584-85.18Tn0.00-652.11-1956.340.00652.11-1956.345-1.995-1.995-142.31Tn0.001956.343912.670.00-1956.347825.346-0.316-0.316366.04TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'0.0010115.002152Pff=15.003Pff=1530.0040415.005155-15.006-156BARRA 2Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m278910111278901112A =0.12m37263.540.000.00-37263.540.000.0071.000.000.000.000.000.007L =7mK =0.00410.661437.310.00-410.661437.318T =0.001.000.000.000.000.008I=0.00540.001437.316707.440.00-1437.313353.7290.000.001.000.000.000.009Angulo =0-37263.540.000.0037263.540.000.00100.000.000.001.000.000.000Sen =0.0000rad0.00-410.66-1437.310.00410.66-1437.31110.000.000.000.001.000.0011Cos =1.0000rad0.001437.313353.720.00-1437.316707.44120.000.000.000.000.001.0012EA/L =37263.54Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas78910111237263.540.000.00-37263.540.000.0070.2270.227-23.1754904992TnK =0.00410.661437.310.00-410.661437.318-1.998-1.998-231.12Tn0.001437.316707.440.00-1437.313353.7290.1190.119-1046.99Tn-37263.540.000.0037263.540.000.00100.22100.221023.18Tn0.00-410.66-1437.310.00410.66-1437.3111-0.1711-0.1711249.12Tn0.001437.313353.720.00-1437.316707.44120.24120.2412-632.08TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'0.0070.0078.5788.578Pff=12.249Pff=12.2490.00100.00109.43119.4311-13.4712-13.4712

BARRA 3Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2123192021123192021A =0.15m46579.430.000.00-46579.430.000.0010.00-1.000.000.000.000.001L =7mK =0.00237.65831.780.00-237.65831.782T =1.000.000.000.000.000.002I=0.0031250.00831.783881.620.00-831.781940.8130.000.001.000.000.000.003Angulo =-90-46579.430.000.0046579.430.000.00190.000.000.000.00-1.000.0019Sen =-1.0000rad0.00-237.65-831.780.00237.65-831.78200.000.000.001.000.000.0020Cos =0.0000rad0.00831.781940.810.00-831.783881.62210.000.000.000.000.001.0021EA/L =46579.43Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas123192021237.65-0.00831.78-237.650.00831.7810.5810.001172.3071916034TnK =-0.0046579.430.000.00-46579.430.002-0.0020.582-85.18Tn831.780.003881.62-831.78-0.001940.813-0.273-0.273-577.81Tn-237.650.00-831.78237.65-0.00-831.78190.00190.0019-214.31Tn0.00-46579.43-0.00-0.0046579.43-0.00200.00200.002085.18Tn831.780.001940.81-831.78-0.003881.62210.00210.0021-8.65TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'-12.601-0.0010.00212.602Pff=-19.603Pff=-19.603-29.4019-0.00190.002029.402029.402129.4021BARRA 4Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2456789456789A =0.12m86948.260.000.00-86948.260.000.0040.00-1.000.000.000.000.004L =3mK =0.001545.752318.620.00-1545.752318.625T =1.000.000.000.000.000.005I=0.00160.002318.624637.240.00-2318.622318.6260.000.001.000.000.000.006Angulo =-90-86948.260.000.0086948.260.000.0070.000.000.000.00-1.000.007Sen =-1.0000rad0.00-1545.75-2318.620.001545.75-2318.6280.000.000.001.000.000.008Cos =0.0000rad0.002318.622318.620.00-2318.624637.2490.000.000.000.000.001.009EA/L =86948.26Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas4567891545.75-0.002318.62-1545.750.002318.6240.5841.994-142.3071916034TnK =-0.0086948.260.000.00-86948.260.005-1.9950.58585.18Tn2318.620.004637.24-2318.62-0.002318.626-0.316-0.316-366.04Tn-1545.750.00-2318.621545.75-0.00-2318.6270.2271.997142.31Tn0.00-86948.26-0.00-0.0086948.26-0.008-1.9980.228-85.18Tn2318.620.002318.62-2318.62-0.004637.2490.1190.119621.57TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'04040505Pff=06Pff=06070708080909BARRA 5Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2789171814789171814A =0.12m65211.200.000.00-65211.200.000.0070.00-1.000.000.000.000.007L =4mK =0.00652.111304.220.00-652.111304.228T =1.000.000.000.000.000.008I=0.00160.001304.223477.930.00-1304.221738.9790.000.001.000.000.000.009Angulo =-90-65211.200.000.0065211.200.000.00170.000.000.000.00-1.000.0017Sen =-1.0000rad0.00-652.11-1304.220.00652.11-1304.22180.000.000.001.000.000.0018Cos =0.0000rad0.001304.221738.970.00-1304.223477.93140.000.000.000.000.001.0014EA/L =65211.20Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas789171814652.11-0.001304.22-652.110.001304.2270.2271.997-373.4284271517TnK =-0.0065211.200.000.00-65211.200.008-1.9980.228108.35Tn1304.220.003477.93-1304.22-0.001738.9790.1190.119433.42Tn-652.110.00-1304.22652.11-0.00-1304.22170.00172.0017373.43Tn0.00-65211.20-0.00-0.0065211.20-0.0018-2.0018-0.0018-108.35Tn1304.220.001738.97-1304.22-0.003477.9314-0.1414-0.1414-0.00TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'07070808Pff=09Pff=09017017018018014014BARRA 6Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2101112151613101112151613A =0.12m52168.960.000.00-52168.960.000.0010-0.60-0.800.000.000.000.0010L =5mK =0.00333.88834.700.00-333.88834.7011T =0.80-0.600.000.000.000.0011I=0.00160.00834.702782.340.00-834.701391.17120.000.001.000.000.000.0012Angulo =-127-52168.960.000.0052168.960.000.00150.000.000.00-0.60-0.800.0015Sen =-0.7986rad0.00-333.88-834.700.00333.88-834.70160.000.000.000.80-0.600.0016Cos =-0.6018rad0.00834.701391.170.00-834.702782.34130.000.000.000.000.001.0013EA/L =52168.96Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas10111215161319107.5824913.54666.62-19107.58-24913.54666.62100.22100.0010212.9044233671TnK =24913.5433395.26-502.34-24913.54-33395.26-502.3411-0.17110.2811131.42Tn666.62-502.342782.34-666.62502.341391.17120.24120.2412632.08Tn-19107.58-24913.54-666.6219107.5824913.54-666.62150.00150.0015-212.90Tn-24913.54-33395.26502.3424913.5433395.26502.34160.00160.0016-121.42Tn666.62-502.341391.17-666.62502.342782.3413-0.2013-0.20130.00Tn

Fuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'

0.00105.49106.87511-4.1411Pff=9.37512Pff=9.38120.00152.50153.12516-1.88160.00130.0013

MATRIZ GENERAL DE LA ECUACIN12345678910111213141516171819202165448.85-0.00831.78-65211.200.000.000.000.000.000.000.000.000.000.000.000.000.000.00-237.650.00831.781-0.0047231.541956.340.00-652.111956.340.000.000.000.000.000.000.000.000.000.000.000.000.00-46579.430.002831.781956.3411706.960.00-1956.343912.670.000.000.000.000.000.000.000.000.000.000.000.00-831.78-0.001940.813-65211.200.000.0066756.94-0.002318.62-1545.750.002318.620.000.000.000.000.000.000.000.000.000.000.000.0040.00-652.11-1956.34-0.0087600.37-1956.340.00-86948.260.000.000.000.000.000.000.000.000.000.000.000.000.0050.001956.343912.672318.62-1956.3412462.58-2318.62-0.002318.620.000.000.000.000.000.000.000.000.000.000.000.0060.000.000.00-1545.750.00-2318.6239461.40-0.00-1014.40-37263.540.000.000.001304.220.000.00-652.110.000.000.000.0070.000.000.000.00-86948.26-0.00-0.00152570.121437.310.00-410.661437.310.000.000.000.000.00-65211.200.000.000.0080.000.000.002318.620.002318.62-1014.401437.3114822.610.00-1437.313353.720.001738.970.000.00-1304.22-0.000.000.000.0090.000.000.000.000.000.00-37263.540.000.0056371.1224913.54666.62666.620.00-19107.58-24913.540.000.000.000.000.0010K=0.000.000.000.000.000.000.00-410.66-1437.3124913.5433805.92-1939.64-502.340.00-24913.54-33395.260.000.000.000.000.00110.000.000.000.000.000.000.001437.313353.72666.62-1939.649489.781391.170.00-666.62502.340.000.000.000.000.00120.000.000.000.000.000.000.000.000.00666.62-502.341391.172782.340.00-666.62502.340.000.000.000.000.00130.000.000.000.000.000.001304.220.001738.970.000.000.000.003477.930.000.00-1304.22-0.000.000.000.00140.000.000.000.000.000.000.000.000.00-19107.58-24913.54-666.62-666.620.0019107.5824913.540.000.000.000.000.00150.000.000.000.000.000.000.000.000.00-24913.54-33395.26502.34502.340.0024913.5433395.260.000.000.000.000.00160.000.000.000.000.000.00-652.110.00-1304.220.000.000.000.00-1304.220.000.00652.11-0.000.000.000.00170.000.000.000.000.000.000.00-65211.20-0.000.000.000.000.00-0.000.000.00-0.0065211.200.000.000.0018-237.650.00-831.780.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00237.65-0.00-831.78190.00-46579.43-0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-0.0046579.43-0.0020831.780.001940.810.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-831.78-0.003881.6221Fuerzas de fijacin en g.d.l. libresFuerzas de fijacin en g.d.l. restringidos

-0.0012.5015PFf =27.602PFs=-1.8816-4.6030.00170.0040.001815.005-0.0019-15.00629.40200.00729.40218.57812.2495.49105.2911-4.09120.00130.0014

Fuerzas en los Grados de libertad libres

0.0010.002Pf =0.0030.0040.0050.0060.0070.0088.0090.00100.00110.00120.00130.0014

0.0015Delta s=0.00160.0017-2.00180.00190.00200.0021

Desplazamiento de los grados de libertad libres

0.57961-0.00402Delta f =-0.268030.57834-1.99265-0.314560.21877-1.994380.111590.219310-0.1704110.242912-0.204713-0.137814

Reacciones

31.1615243.1016Ps =-108.3517-373.431885.1819214.3120-8.6521

CARGAS EN LAS BARRAS 3ANALISIS ESTRUCTURAL II


BARRA 1Matriz de rigidez (coordenadas locales)yMatriz de transformacinE =2173706.51192842Tn/m2123456123456A =0.15m65211.200.000.00-65211.200.000.0011.000.000.000.000.000.001L =5mK' =0.00652.111630.280.00-652.111630.282T =0.001.000.000.000.000.002I=0.0031250.001630.285434.270.00-1630.282717.1330.000.001.000.000.000.003Angulo =0-65211.200.000.0065211.200.000.0040.000.000.001.000.000.004Sen =0.0000rad0.00-652.11-1630.280.00652.11-1630.2850.000.000.000.001.000.005Cos =1.0000rad0.001630.282717.130.00-1630.285434.2760.000.000.000.000.001.006EA/L =65211.20Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas12345665211.200.000.00-65211.200.000.0010.0110.01115.62TnK =0.00652.111630.280.00-652.111630.282-0.012-0.0120.63Tn0.001630.285434.270.00-1630.282717.1330.0030.003-1.93Tn-65211.200.000.0065211.200.000.0040.0140.014-15.62Tn0.00-652.11-1630.280.00652.11-1630.285-0.005-0.00514.37Tn0.001630.282717.130.00-1630.285434.276-0.006-0.006-19.90TnFuerzas de fijacin en coordenadas globalesFuerzas de fijacin en coordenadas locales0.001014.5024.52Pf=5.003Pff=530.0040410.50510.55-7.506-7.56BARRA 2Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2897123897123A =0.18m78253.430.000.00-78253.430.000.0080.600.800.000.000.000.008L =5mK =0.001126.852817.120.00-1126.852817.129T =-0.800.600.000.000.000.009I=0.00540.002817.129390.410.00-2817.124695.2170.000.001.000.000.000.007Angulo =53.130102-78253.430.000.0078253.430.000.0010.000.000.000.600.800.001Sen =0.8000rad0.00-1126.85-2817.120.001126.85-2817.1220.000.000.00-0.800.600.002Cos =0.6000rad0.002817.124695.210.00-2817.129390.4130.000.000.000.000.001.003EA/L =78253.43Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas89712328892.4237020.76-2253.70-28892.42-37020.76-2253.7080.0080.0080TnK =37020.7650487.861690.27-37020.76-50487.861690.2790.0090.0091.15Tn-2253.701690.279390.412253.70-1690.274695.217-0.00297-0.007-27.43Tn-28892.42-37020.762253.7028892.4237020.762253.7010.0010.0010.00Tn-37020.76-50487.86-1690.2737020.7650487.86-1690.2720.0020.00223.85Tn-2253.701690.274695.212253.70-1690.279390.4130.0030.003-29.34TnFuerzas de fijacin en coordenadas globalesFuerzas de fijacin en coordenadas locales-7.50080.0085.62599.389Pff=0.0007Pff=0.009-12.50010.0019.375215.632-15.6253-15.633

BARRA 3Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2456101112456101112A =0.18m97816.790.000.00-97816.790.000.0040.00-1.000.000.000.000.004L =4mK =0.002200.884401.760.00-2200.884401.765T =1.000.000.000.000.000.005I=0.00540.004401.7611738.020.00-4401.765869.0160.000.001.000.000.000.006Angulo =-90-97816.790.000.0097816.790.000.00100.000.000.000.00-1.000.0010Sen =-1.0000rad0.00-2200.88-4401.760.002200.88-4401.76110.000.000.001.000.000.0011Cos =0.0000rad0.004401.765869.010.00-4401.7611738.02120.000.000.000.000.001.0012EA/L =97816.79Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas4561011122200.88-0.004401.76-2200.880.004401.7640.0140.00114.37TnK =-0.0097816.790.000.00-97816.790.005-0.0050.01215.62Tn4401.760.0011738.02-4401.76-0.005869.016-0.006-0.00319.90Tn-2200.880.00-4401.762200.88-0.00-4401.76100.00100.0019-14.37Tn0.00-97816.79-0.00-0.0097816.79-0.00110.00110.0020-5.62Tn4401.760.005869.01-4401.76-0.0011738.02120.00120.002117.55TnFuerzas de fijacin en coordenadas globalesFuerzas de fijacin en coordenadas locales 6.8440.0040.0056.845Pff=5.866Pff=5.8663.16100.00100.00113.1611-3.5212-3.5212

MATRIZ GENERAL DE LA ECUACIN12345678910111294103.6237020.762253.70-65211.200.000.002253.70-28892.42-37020.760.000.000.00137020.7651139.98-59.990.00-652.111630.28-1690.27-37020.76-50487.860.000.000.0022253.70-59.9914824.680.00-1630.282717.134695.21-2253.701690.270.000.000.003-65211.200.000.0067412.07-0.004401.760.000.000.00-2200.880.004401.7640.00-652.11-1630.28-0.0098468.90-1630.280.000.000.000.00-97816.790.005K=0.001630.282717.134401.76-1630.2817172.280.000.000.00-4401.76-0.005869.0162253.70-1690.274695.210.000.000.009390.41-2253.701690.270.000.000.007-28892.42-37020.76-2253.700.000.000.00-2253.7028892.4237020.760.000.000.008-37020.76-50487.861690.270.000.000.001690.2737020.7650487.860.000.000.0090.000.000.00-2200.880.00-4401.760.000.000.002200.88-0.00-4401.76100.000.000.000.00-97816.79-0.000.000.000.00-0.0097816.79-0.00110.000.000.004401.760.005869.010.000.000.00-4401.76-0.0011738.0212

Fuerzas de fijacin en g.d.l. libresFuerzas de fijacin en g.d.l. restringidos

-12.5001-7.5008PFf =13.8752PFs=5.6259-10.62533.160106.84040.0001110.5005-3.52012-1.64060.0007


0.0010.002Pf =0.0030.0040.0050.0060.007


0.00661-0.00512Delta f =0.000830.00644-0.00015-0.00126-0.00297

Reacciones

-4.38815.639Ps =-5.621014.371117.5512

CARGAS EN LAS BARRAS 2ANALISIS ESTRUCTURAL II


BARRA 1Matriz de rigidez (coordenadas locales)yMatriz de transformacinE =2173706.51192842Tn/m2123456123456A =0.18m65211.200.000.00-65211.200.000.0011.000.000.000.000.000.001L =6mK' =0.00652.111956.340.00-652.111956.342T =0.001.000.000.000.000.002I=0.00540.001956.347825.340.00-1956.343912.6730.000.001.000.000.000.003Angulo =0-65211.200.000.0065211.200.000.0040.000.000.001.000.000.004Sen =0.0000rad0.00-652.11-1956.340.00652.11-1956.3450.000.000.000.001.000.005Cos =1.0000rad0.001956.343912.670.00-1956.347825.3460.000.000.000.000.001.006EA/L =65211.20Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas12345665211.200.000.00-65211.200.000.0010.5810.58185.1786574916TnK =0.00652.111956.340.00-652.111956.342-0.002-0.002172.31Tn0.001956.347825.340.00-1956.343912.673-0.273-0.273577.81Tn-65211.200.000.0065211.200.000.0040.5840.584-85.18Tn0.00-652.11-1956.340.00652.11-1956.345-1.995-1.995-142.31Tn0.001956.343912.670.00-1956.347825.346-0.316-0.316366.05TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'0.0010115.002152Pff=15.003Pff=1530.0040415.005155-15.006-156BARRA 2Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m278910111278901112A =0.18m55895.310.000.00-55895.310.000.0071.000.000.000.000.000.007L =7mK =0.00410.661437.310.00-410.661437.318T =0.001.000.000.000.000.008I=0.00540.001437.316707.440.00-1437.313353.7290.000.001.000.000.000.009Angulo =0-55895.310.000.0055895.310.000.00100.000.000.001.000.000.000Sen =0.0000rad0.00-410.66-1437.310.00410.66-1437.31110.000.000.000.001.000.0011Cos =1.0000rad0.001437.313353.720.00-1437.316707.44120.000.000.000.000.001.0012EA/L =55895.31Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas78910111255895.310.000.00-55895.310.000.0070.2270.227-23.1847750315TnK =0.00410.661437.310.00-410.661437.318-1.998-1.998-231.12Tn0.001437.316707.440.00-1437.313353.7290.1190.119-1047.03Tn-55895.310.000.0055895.310.000.00100.22100.221023.18Tn0.00-410.66-1437.310.00410.66-1437.3111-0.1711-0.1711249.12Tn0.001437.313353.720.00-1437.316707.44120.24120.2412-632.05TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'0.0070.0078.5788.578Pff=12.249Pff=12.2490.00100.00109.43119.4311-13.4712-13.4712

BARRA 3Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2123192021123192021A =0.15m46579.430.000.00-46579.430.000.0010.00-1.000.000.000.000.001L =7mK =0.00237.65831.780.00-237.65831.782T =1.000.000.000.000.000.002I=0.0031250.00831.783881.620.00-831.781940.8130.000.001.000.000.000.003Angulo =-90-46579.430.000.0046579.430.000.00190.000.000.000.00-1.000.0019Sen =-1.0000rad0.00-237.65-831.780.00237.65-831.78200.000.000.001.000.000.0020Cos =0.0000rad0.00831.781940.810.00-831.783881.62210.000.000.000.000.001.0021EA/L =46579.43Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas123192021237.65-0.00831.78-237.650.00831.7810.5810.001172.3084830679TnK =-0.0046579.430.000.00-46579.430.002-0.0020.582-85.18Tn831.780.003881.62-831.78-0.001940.813-0.273-0.273-577.81Tn-237.650.00-831.78237.65-0.00-831.78190.00190.0019-214.31Tn0.00-46579.43-0.00-0.0046579.43-0.00200.00200.002085.18Tn831.780.001940.81-831.78-0.003881.62210.00210.0021-8.64TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'-12.601-0.0010.00212.602Pff=-19.603Pff=-19.603-29.4019-0.00190.002029.402029.402129.4021BARRA 4Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2456789456789A =0.12m86948.260.000.00-86948.260.000.0040.00-1.000.000.000.000.004L =3mK =0.001545.752318.620.00-1545.752318.625T =1.000.000.000.000.000.005I=0.00160.002318.624637.240.00-2318.622318.6260.000.001.000.000.000.006Angulo =-90-86948.260.000.0086948.260.000.0070.000.000.000.00-1.000.007Sen =-1.0000rad0.00-1545.75-2318.620.001545.75-2318.6280.000.000.001.000.000.008Cos =0.0000rad0.002318.622318.620.00-2318.624637.2490.000.000.000.000.001.009EA/L =86948.26Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas4567891545.75-0.002318.62-1545.750.002318.6240.5841.994-142.3084830679TnK =-0.0086948.260.000.00-86948.260.005-1.9950.58585.18Tn2318.620.004637.24-2318.62-0.002318.626-0.316-0.316-366.05Tn-1545.750.00-2318.621545.75-0.00-2318.6270.2271.997142.31Tn0.00-86948.26-0.00-0.0086948.26-0.008-1.9980.228-85.18Tn2318.620.002318.62-2318.62-0.004637.2490.1190.119621.58TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'04040505Pff=06Pff=06070708080909BARRA 5Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2789171814789171814A =0.12m65211.200.000.00-65211.200.000.0070.00-1.000.000.000.000.007L =4mK =0.00652.111304.220.00-652.111304.228T =1.000.000.000.000.000.008I=0.00160.001304.223477.930.00-1304.221738.9790.000.001.000.000.000.009Angulo =-90-65211.200.000.0065211.200.000.00170.000.000.000.00-1.000.0017Sen =-1.0000rad0.00-652.11-1304.220.00652.11-1304.22180.000.000.001.000.000.0018Cos =0.0000rad0.001304.221738.970.00-1304.223477.93140.000.000.000.000.001.0014EA/L =65211.20Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas789171814652.11-0.001304.22-652.110.001304.2270.2271.997-373.4310261232TnK =-0.0065211.200.000.00-65211.200.008-1.9980.228108.36Tn1304.220.003477.93-1304.22-0.001738.9790.1190.119433.45Tn-652.110.00-1304.22652.11-0.00-1304.22170.00172.0017373.43Tn0.00-65211.20-0.00-0.0065211.20-0.0018-2.0018-0.0018-108.36Tn1304.220.001738.97-1304.22-0.003477.9314-0.1414-0.1414-0.00TnFuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'07070808Pff=09Pff=09017017018018014014BARRA 6Matriz de rigidezMatriz de transformacinE =2173706.51192842Tn/m2101112151613101112151613A =0.12m52168.960.000.00-52168.960.000.0010-0.60-0.800.000.000.000.0010L =5mK =0.00333.88834.700.00-333.88834.7011T =0.80-0.600.000.000.000.0011I=0.00160.00834.702782.340.00-834.701391.17120.000.001.000.000.000.0012Angulo =-127-52168.960.000.0052168.960.000.00150.000.000.00-0.60-0.800.0015Sen =-0.7986rad0.00-333.88-834.700.00333.88-834.70160.000.000.000.80-0.600.0016Cos =-0.6018rad0.00834.701391.170.00-834.702782.34130.000.000.000.000.001.0013EA/L =52168.96Matriz de rigidez en coordenadas globalesDeltaDelta'Fuerzas10111215161319107.5824913.54666.62-19107.58-24913.54666.62100.22100.0010212.9110551597TnK =24913.5433395.26-502.34-24913.54-33395.26-502.3411-0.17110.2811131.41Tn666.62-502.342782.34-666.62502.341391.17120.24120.2412632.05Tn-19107.58-24913.54-666.6219107.5824913.54-666.62150.00150.0015-212.91Tn-24913.54-33395.26502.3424913.5433395.26502.34160.00160.0016-121.41Tn666.62-502.341391.17-666.62502.342782.3413-0.2013-0.20130.00Tn

Fuerzas de fijacin en coordenadas localesFuerzas de fijacin en coordenadas globales FF = TT.FF'

0.00105.49106.87511-4.1411Pff=9.37512Pff=9.38120.00152.50153.12516-1.88160.00130.0013

MATRIZ GENERAL DE LA ECUACIN12345678910111213141516171819202165448.85-0.00831.78-65211.200.000.000.000.000.000.000.000.000.000.000.000.000.000.00-237.650.00831.781-0.0047231.541956.340.00-652.111956.340.000.000.000.000.000.000.000.000.000.000.000.000.00-46579.430.002831.781956.3411706.960.00-1956.343912.670.000.000.000.000.000.000.000.000.000.000.000.00-831.78-0.001940.813-65211.200.000.0066756.94-0.002318.62-1545.750.002318.620.000.000.000.000.000.000.000.000.000.000.000.0040.00-652.11-1956.34-0.0087600.37-1956.340.00-86948.260.000.000.000.000.000.000.000.000.000.000.000.000.0050.001956.343912.672318.62-1956.3412462.58-2318.62-0.002318.620.000.000.000.000.000.000.000.000.000.000.000.0060.000.000.00-1545.750.00-2318.6258093.17-0.00-1014.40-55895.310.000.000.001304.220.000.00-652.110.000.000.000.0070.000.000.000.00-86948.26-0.00-0.00152570.121437.310.00-410.661437.310.000.000.000.000.00-65211.200.000.000.0080.000.000.002318.620.002318.62-1014.401437.3114822.610.00-1437.313353.720.001738.970.000.00-1304.22-0.000.000.000.0090.000.000.000.000.000.00-55895.310.000.0075002.8924913.54666.62666.620.00-19107.58-24913.540.000.000.000.000.0010K=0.000.000.000.000.000.000.00-410.66-1437.3124913.5433805.92-1939.64-502.340.00-24913.54-33395.260.000.000.000.000.00110.000.000.000.000.000.000.001437.313353.72666.62-1939.649489.781391.170.00-666.62502.340.000.000.000.000.00120.000.000.000.000.000.000.000.000.00666.62-502.341391.172782.340.00-666.62502.340.000.000.000.000.00130.000.000.000.000.000.001304.220.001738.970.000.000.000.003477.930.000.00-1304.22-0.000.000.000.00140.000.000.000.000.000.000.000.000.00-19107.58-24913.54-666.62-666.620.0019107.5824913.540.000.000.000.000.00150.000.000.000.000.000.000.000.000.00-24913.54-33395.26502.34502.340.0024913.5433395.260.000.000.000.000.00160.000.000.000.000.000.00-652.110.00-1304.220.000.000.000.00-1304.220.000.00652.11-0.000.000.000.00170.000.000.000.000.000.000.00-65211.20-0.000.000.000.000.00-0.000.000.00-0.0065211.200.000.000.0018-237.650.00-831.780.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00237.65-0.00-831.78190.00-46579.43-0.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-0.0046579.43-0.0020831.780.001940.810.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00-831.78-0.003881.6221Fuerzas de fijacin en g.d.l. libresFuerzas de fijacin en g.d.l. restringidos

-0.0012.5015PFf =27.602PFs=-1.8816-4.6030.00170.0040.001815.005-0.0019-15.00629.40200.00729.40218.57812.2495.49105.2911-4.09120.00130.0014


0.0010.002Pf =0.0030.0040.0050.0060.0070.0088.0090.00100.00110.00120.00130.0014

0.0015Delta s=0.00160.0017-2.00180.00190.00200.0021


0.57961-0.00402Delta f =-0.268030.57834-1.99265-0.314560.21877-1.994380.111590.219210-0.1703110.242912-0.204713-0.137814

Reacciones

31.1715243.1016Ps =-108.3617-373.431885.1819214.3120-8.6421

Hoja1

matriz de rigidez

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