EJERCICIO # 06 BARRA 1BARRA 2BARRA 3BARRA 4BARRA 5BARRA 6BARRA 7BARRA 8BARRA 9E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2I0.0054m4I0.0016m4I0.0016m4I0.0054m4I0.0016m4I0.0054m4I0.0054m4I0.0016m4I0.0016m4A0.18m2A0.12m2A0.12m2A0.18m2A0.12m2A0.18m2A0.18m2A0.12m2A0.12m2L6.00mL3.51mL3.51mL6.75mL3.51mL6.00mL6.75mL4.89mL4.05mangulo0.00angulo270.00angulo270.00angulo0.00angulo270.00angulo0.00angulo0.00angulo270.00angulo270.00sen0.00sen-1.00sen-1.00sen0.00sen-1.00sen0.00sen0.00sen-1.00sen-1.00cos1.00cos-0.00cos-0.00cos1.00cos-0.00cos1.00cos1.00cos-0.00cos-0.00EA/L63000.00EA/L71794.87EA/L71794.87EA/L56000.00EA/L71794.87EA/L63000.00EA/L56000.00EA/L51533.74EA/L62222.22EI11340.00EI3360.00EI3360.00EI11340.00EI3360.00EI11340.00EI11340.00EI3360.00EI3360.00

Matriz de rigidez en coordenadas locales.-Matriz de rigidez en coordenadas locales.-123456123789456101112456131415131415161718789101112101112161718789192021161718222324K=63000.000.000.00-63000.000.000.001K=71794.870.000.00-71794.870.000.001K=71794.870.000.00-71794.870.000.004K=56000.000.000.00-56000.000.000.004K=71794.870.000.00-71794.870.000.0013K=63000.000.000.00-63000.000.000.007K=56000.000.000.00-56000.000.000.0010K=51533.740.000.00-51533.740.000.007K=62222.220.000.00-62222.220.000.00160.00630.001890.000.00-630.001890.0020.00932.391636.350.00-932.391636.3520.00932.391636.350.00-932.391636.3550.00442.471493.330.00-442.471493.3350.00932.391636.350.00-932.391636.35140.00630.001890.000.00-630.001890.0080.00442.471493.330.00-442.471493.33110.00344.82843.090.00-344.82843.0980.00606.951229.080.00-606.951229.08170.001890.007560.000.00-1890.003780.0030.001636.353829.060.00-1636.351914.5330.001636.353829.060.00-1636.351914.5360.001493.336720.000.00-1493.333360.0060.001636.353829.060.00-1636.351914.53150.001890.007560.000.00-1890.003780.0090.001493.336720.000.00-1493.333360.00120.00843.092748.470.00-843.091374.2390.001229.083318.520.00-1229.081659.2618-63000.000.000.0063000.000.000.004-71794.870.000.0071794.870.000.007-71794.870.000.0071794.870.000.0010-56000.000.000.0056000.000.000.0013-71794.870.000.0071794.870.000.0016-63000.000.000.0063000.000.000.0010-56000.000.000.0056000.000.000.0016-51533.740.000.0051533.740.000.0019-62222.220.000.0062222.220.000.00220.00-630.00-1890.000.00630.00-1890.0050.00-932.39-1636.350.00932.39-1636.3580.00-932.39-1636.350.00932.39-1636.35110.00-442.47-1493.330.00442.47-1493.33140.00-932.39-1636.350.00932.39-1636.35170.00-630.00-1890.000.00630.00-1890.00110.00-442.47-1493.330.00442.47-1493.33170.00-344.82-843.090.00344.82-843.09200.00-606.95-1229.080.00606.95-1229.08230.001890.003780.000.00-1890.007560.0060.001636.351914.530.00-1636.353829.0690.001636.351914.530.00-1636.353829.06120.001493.333360.000.00-1493.336720.00150.001636.351914.530.00-1636.353829.06180.001890.003780.000.00-1890.007560.00120.001493.333360.000.00-1493.336720.00180.00843.091374.230.00-843.092748.47210.001229.081659.260.00-1229.083318.5224

Matriz de transformacin.-Matriz de transformacin.-T=1.000.000000T=-0.00-1.000000T=-0.00-1.000000T=1.000.000000T=-0.00-1.000000T=1.000.000000T=1.000.000000T=-0.00-1.000000T=-0.00-1.0000000.001.0000001.00-0.0000001.00-0.0000000.001.0000001.00-0.0000000.001.0000000.001.0000001.00-0.0000001.00-0.0000000010000010000010000010000010000010000010000010000010000001.000.000000-0.00-1.000000-0.00-1.0000001.000.000000-0.00-1.0000001.000.0000001.000.000000-0.00-1.000000-0.00-1.0000000.001.0000001.00-0.0000001.00-0.0000000.001.0000001.00-0.0000000.001.0000000.001.0000001.00-0.0000001.00-0.000000001000001000001000001000001000001000001000001000001Matriz de rigidez en coordenadas globales.-Matriz de rigidez en coordenadas globales.-123456123789456101112456131415131415161718789101112101112161718789192021161718222324K=63000.0000.0000.000-63000.0000.0000.0001K=932.3930.0001636.350-932.393-0.0001636.3501K=932.3930.0001636.350-932.393-0.0001636.3504K=56000.0000.0000.000-56000.0000.0000.0004K=932.3930.0001636.350-932.393-0.0001636.35013K=63000.0000.0000.000-63000.0000.0000.0007K=56000.0000.0000.000-56000.0000.0000.00010K=344.8210.000843.088-344.821-0.000843.0887K=606.9540.0001229.081-606.954-0.0001229.081160.000630.0001890.0000.000-630.0001890.00020.00071794.872-0.000-0.000-71794.872-0.00020.00071794.872-0.000-0.000-71794.872-0.00050.000442.4691493.3330.000-442.4691493.33350.00071794.872-0.000-0.000-71794.872-0.000140.000630.0001890.0000.000-630.0001890.00080.000442.4691493.3330.000-442.4691493.333110.00051533.742-0.000-0.000-51533.742-0.00080.00062222.222-0.000-0.000-62222.222-0.000170.0001890.0007560.0000.000-1890.0003780.00031636.350-0.0003829.060-1636.3500.0001914.53031636.350-0.0003829.060-1636.3500.0001914.53060.0001493.3336720.0000.000-1493.3333360.00061636.350-0.0003829.060-1636.3500.0001914.530150.0001890.0007560.0000.000-1890.0003780.00090.0001493.3336720.0000.000-1493.3333360.00012843.088-0.0002748.466-843.0880.0001374.23391229.081-0.0003318.519-1229.0810.0001659.25918-63000.0000.0000.00063000.0000.0000.0004-932.393-0.000-1636.350932.3930.000-1636.3507-932.393-0.000-1636.350932.3930.000-1636.35010-56000.0000.0000.00056000.0000.0000.00013-932.393-0.000-1636.350932.3930.000-1636.35016-63000.0000.0000.00063000.0000.0000.00010-56000.0000.0000.00056000.0000.0000.00016-344.821-0.000-843.088344.8210.000-843.08819-606.954-0.000-1229.081606.9540.000-1229.081220.000-630.000-1890.0000.000630.000-1890.0005-0.000-71794.8720.0000.00071794.8720.0008-0.000-71794.8720.0000.00071794.8720.000110.000-442.469-1493.3330.000442.469-1493.33314-0.000-71794.8720.0000.00071794.8720.000170.000-630.000-1890.0000.000630.000-1890.000110.000-442.469-1493.3330.000442.469-1493.33317-0.000-51533.7420.0000.00051533.7420.00020-0.000-62222.2220.0000.00062222.2220.000230.0001890.0003780.0000.000-1890.0007560.00061636.350-0.0001914.530-1636.3500.0003829.06091636.350-0.0001914.530-1636.3500.0003829.060120.0001493.3333360.0000.000-1493.3336720.000151636.350-0.0001914.530-1636.3500.0003829.060180.0001890.0003780.0000.000-1890.0007560.000120.0001493.3333360.0000.000-1493.3336720.00018843.088-0.0001374.233-843.0880.0002748.466211229.081-0.0001659.259-1229.0810.0003318.51924Fuerzas de Fijacin en barras.-Fuerzas de Fijacin en barras.-

En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-En coordenadas Locales.-En coordenadas Globales (Ff = TT.Ff) .-Ff01Ff01Ff01Ff0.001Ff04Ff0.0004Ff04Ff04Ff0.0013Ff0.0013Ff07Ff0.0007Ff010Ff0.000010Ff07Ff0.0007Ff016Ff0.0001617.25217.252020.002050.000519.4063519.406350.00140.001427.9827.900839.20451139.204511080.00080170.0001717.250317.2503030.003060.000621.832621.83260.00150.001527.9927.900944.43741244.437412090.00090180.000180404070.0070100.000100130130.00160.00160100.000100.0000160.0000160190.000190220.0002217.25517.255080.0080110.0001119.40631419.4063140.00170.001727.91127.9001133.02051733.0205170200.000200230.00023-17.256-17.256090.0090120.00012-21.83215-21.832150.00180.0018-27.912-27.90012-38.592018-38.5920180210.000210240.00024123456789101112131415161718192021222324k=63932.3930.0001636.350-63000.0000.0000.000-932.393-0.0001636.3500.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00010.00072424.8721890.0000.000-630.0001890.000-0.000-71794.872-0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00021636.3501890.00011389.0600.000-1890.0003780.000-1636.3500.0001914.5300.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0003-63000.0000.0000.000119932.3930.0001636.3500.0000.0000.000-932.393-0.0001636.350-56000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00040.000-630.000-1890.0000.00072867.341-396.6670.0000.0000.000-0.000-71794.872-0.0000.000-442.4691493.3330.0000.0000.0000.0000.0000.0000.0000.0000.00050.0001890.0003780.0001636.350-396.66718109.0600.0000.0000.000-1636.3500.0001914.5300.000-1493.3333360.0000.0000.0000.0000.0000.0000.0000.0000.0000.0006-932.393-0.000-1636.3500.0000.0000.00064277.2150.000-793.263-63000.0000.0000.0000.0000.0000.0000.0000.0000.000-344.821-0.000843.0880.0000.0000.0007-0.000-71794.8720.0000.0000.0000.0000.000123958.6141890.0000.000-630.0001890.0000.0000.0000.0000.0000.0000.000-0.000-51533.742-0.0000.0000.0000.00081636.350-0.0001914.5300.0000.0000.000-793.2631890.00014137.5260.000-1890.0003780.0000.0000.0000.0000.0000.0000.000-843.0880.0001374.2330.0000.0000.00090.0000.0000.000-932.393-0.000-1636.350-63000.0000.0000.000119932.3930.000-1636.3500.0000.0000.000-56000.0000.0000.0000.0000.0000.0000.0000.0000.000100.0000.0000.000-0.000-71794.8720.0000.000-630.000-1890.0000.00072867.341-396.6670.0000.0000.0000.000-442.4691493.3330.0000.0000.0000.0000.0000.000110.0000.0000.0001636.350-0.0001914.5300.0001890.0003780.000-1636.350-396.66718109.0600.0000.0000.0000.000-1493.3333360.0000.0000.0000.0000.0000.0000.000120.0000.0000.000-56000.0000.0000.0000.0000.0000.0000.0000.0000.00056932.3930.0001636.350-932.393-0.0001636.3500.0000.0000.0000.0000.0000.000130.0000.0000.0000.000-442.469-1493.3330.0000.0000.0000.0000.0000.0000.00072237.341-1493.333-0.000-71794.872-0.0000.0000.0000.0000.0000.0000.000140.0000.0000.0000.0001493.3333360.0000.0000.0000.0000.0000.0000.0001636.350-1493.33310549.060-1636.3500.0001914.5300.0000.0000.0000.0000.0000.000150.0000.0000.0000.0000.0000.0000.0000.0000.000-56000.0000.0000.000-932.393-0.000-1636.35057539.3470.000-407.2690.0000.0000.000-606.954-0.0001229.081160.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-442.469-1493.333-0.000-71794.8720.0000.000134459.563-1493.3330.0000.0000.000-0.000-62222.222-0.000170.0000.0000.0000.0000.0000.0000.0000.0000.0000.0001493.3333360.0001636.350-0.0001914.530-407.269-1493.33313867.5780.0000.0000.000-1229.0810.0001659.259180.0000.0000.0000.0000.0000.000-344.821-0.000-843.0880.0000.0000.0000.0000.0000.0000.0000.0000.000344.8210.000-843.0880.0000.0000.000190.0000.0000.0000.0000.0000.000-0.000-51533.7420.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00051533.7420.0000.0000.0000.000200.0000.0000.0000.0000.0000.000843.088-0.0001374.2330.0000.0000.0000.0000.0000.0000.0000.0000.000-843.0880.0002748.4660.0000.0000.000210.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-606.954-0.000-1229.0810.0000.0000.000606.9540.000-1229.081220.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.000-62222.2220.0000.0000.0000.0000.00062222.2220.000230.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0001229.081-0.0001659.2590.0000.0000.000-1229.0810.0003318.51924

Pff=0.01Pfs=0.0019Pf=0.0117.320.00200.02Pff: Fuerzas Fijacion en los g.l.l17.330.00210.03Pfs: Fuerzas fijacion en los g.l.r0.040.00220.04Pf: Fuerzas en los g.l.l36.750.00230.054.660.00240.060.070.0727.980.0827.990.090.0100.01067.1110.01116.5120.0120.01318.21319.4140.014-21.8150.0150.0001612.951633.021170.017-38.592180.018Desplazamientos Globales en los g.l.l (f = Kff-1. (Pf - Pff)) .-FUERZAS DE LAS BARRAS:0.11BARRA 1:BARRA 4:BARRA 7:-0.02-0.03Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDesplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDesplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDelta f=0.140.0610.06133.98910.0640425.59940.0410-25.6410-2871306.56610-0.15-0.002-0.00239.3172-0.095-05-5.7635-0.0911-33.6111-368523.52511-0.06DELTA:-0.023DELTA:-0.023F=59.2973DELTA:-0.006DELTA:-06F=-87.2696DELTA:-0.0012DELTA:-126.5212F=-1287780.118120.070.0640.064-33.98940.0613013-25.599130.041625.64162871306.56616-0.08-0.095-0.095-4.8175-0.0014-01444.57514-0.001733.6117368595.75017-0.09-0.006-0.00673.10460.0115015-82.622150.0118-100.3718-1200012.463180.010-33.989-25.5992871306.566-0.111BARRA 2:BARRA 5:BARRA 8:-0.0120.113Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDesplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDesplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + Ff-0.0140.0610.00139.31710.06130.001344.575130.0471980.247204098491.16670.015-0.0020.062-33.9892-0.00140.061443.79914-0.008-13.828-66483.40680.039424018816DELTA:-0.023DELTA:-0.023F=-59.2973DELTA:0.0115DELTA:0.0115F=82.62215DELTA:-0.029DELTA:-44.559F=-177349.5009-0.001787281170.0470.007-39.31770.04160.0016-44.575160.0019-1980.2419-204098491.166190.005844557118-0.0080.04833.9898-0.00170.0417-43.799170.002013.822066483.40620-0.029-0.029-60.00490.01180.011871.112180.0021-23.0121-147754.35321-33.98943.799-66483.406BARRA 3:BARRA 6:Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDesplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfBARRA 9:Reaccion en los Apoyos de los G.L.R (Ps = Ksf . f + Psf) .-0.0640.094-10.57940.0470.047-34.0277-0.0950.0658.3905-0.008-0.00850.8128Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + Ff-0.0419DELTA:-0.006DELTA:-0.006F=14.1656DELTA:-0.029DELTA:-0.029F=70.67990.04160.0016111.2091690.13200.04100.091010.579100.04100.041034.02710-0.00170.041731.11217Ps=10.8621-0.09110.0411-8.39011-0.0911-0.09114.98811DELTA:0.0118DELTA:0.0118F=67.85118-31.1122-0.0012-0.001215.28512-0.0012-0.001266.794120.00220.0022-111.20922111.21238.39034.0270.00230.0023-31.1122358.15240.00240.002458.1532431.112