EJERCICIO # 06 BARRA 1BARRA 2BARRA 3BARRA 4BARRA 5BARRA 6BARRA 7BARRA 8E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2I0.0054m4I0.0016m4I0.0016m4I0.0054m4I0.0054m4I0.0016m4I0.0016m4I0.0016m4A0.18m2A0.12m2A0.12m2A0.18m2A0.18m2A0.12m2A0.12m2A0.12m2L6.60mL3.51mL3.51mL6.60mL6.90mL3.92mL3.92mL3.92mangulo0.00angulo270.00angulo270.00angulo0.00angulo0.00angulo270.00angulo270.00angulo270.00sen0.00sen-1.00sen-1.00sen0.00sen0.00sen-1.00sen-1.00sen-1.00cos1.00cos-0.00cos-0.00cos1.00cos1.00cos-0.00cos-0.00cos-0.00EA/L57272.73EA/L71794.87EA/L71794.87EA/L57272.73EA/L54782.61EA/L64285.71EA/L64285.71EA/L64285.71EI11340.00EI3360.00EI3360.00EI11340.00EI11340.00EI3360.00EI3360.00EI3360.00

Matriz de rigidez en coordenadas locales.-Matriz de rigidez en coordenadas locales.-123456123789456101112789101112101112131415789161718101112192021131415222324K=57272.730.000.00-57272.730.000.001K=71794.870.000.00-71794.870.000.001K=71794.870.000.00-71794.870.000.004K=57272.730.000.00-57272.730.000.007K=54782.610.000.00-54782.610.000.0010K=64285.710.000.00-64285.710.000.007K=64285.710.000.00-64285.710.000.0010K=64285.710.000.00-64285.710.000.00130.00473.331561.980.00-473.331561.9820.00932.391636.350.00-932.391636.3520.00932.391636.350.00-932.391636.3550.00473.331561.980.00-473.331561.9880.00414.241429.110.00-414.241429.11110.00669.361311.950.00-669.361311.9580.00669.361311.950.00-669.361311.95110.00669.361311.950.00-669.361311.95140.001561.986872.730.00-1561.983436.3630.001636.353829.060.00-1636.351914.5330.001636.353829.060.00-1636.351914.5360.001561.986872.730.00-1561.983436.3690.001429.116573.910.00-1429.113286.96120.001311.953428.570.00-1311.951714.2990.001311.953428.570.00-1311.951714.29120.001311.953428.570.00-1311.951714.2915-57272.730.000.0057272.730.000.004-71794.870.000.0071794.870.000.007-71794.870.000.0071794.870.000.0010-57272.730.000.0057272.730.000.0010-54782.610.000.0054782.610.000.0013-64285.710.000.0064285.710.000.0016-64285.710.000.0064285.710.000.0019-64285.710.000.0064285.710.000.00220.00-473.33-1561.980.00473.33-1561.9850.00-932.39-1636.350.00932.39-1636.3580.00-932.39-1636.350.00932.39-1636.35110.00-473.33-1561.980.00473.33-1561.98110.00-414.24-1429.110.00414.24-1429.11140.00-669.36-1311.950.00669.36-1311.95170.00-669.36-1311.950.00669.36-1311.95200.00-669.36-1311.950.00669.36-1311.95230.001561.983436.360.00-1561.986872.7360.001636.351914.530.00-1636.353829.0690.001636.351914.530.00-1636.353829.06120.001561.983436.360.00-1561.986872.73120.001429.113286.960.00-1429.116573.91150.001311.951714.290.00-1311.953428.57180.001311.951714.290.00-1311.953428.57210.001311.951714.290.00-1311.953428.5724

Matriz de transformacin.-Matriz de transformacin.-T=1.000.000000T=-0.00-1.000000T=-0.00-1.000000T=1.000.000000T=1.000.000000T=-0.00-1.000000T=-0.00-1.000000T=-0.00-1.0000000.001.0000001.00-0.0000001.00-0.0000000.001.0000000.001.0000001.00-0.0000001.00-0.0000001.00-0.0000000010000010000010000010000010000010000010000010000001.000.000000-0.00-1.000000-0.00-1.0000001.000.0000001.000.000000-0.00-1.000000-0.00-1.000000-0.00-1.0000000.001.0000001.00-0.0000001.00-0.0000000.001.0000000.001.0000001.00-0.0000001.00-0.0000001.00-0.000000001000001000001000001000001000001000001000001Matriz de rigidez en coordenadas globales.-Matriz de rigidez en coordenadas globales.-123456123789456101112789101112101112131415789161718101112192021131415222324K=57272.7270.0000.000-57272.7270.0000.0001K=932.3930.0001636.350-932.393-0.0001636.3501K=932.3930.0001636.350-932.393-0.0001636.3504K=57272.7270.0000.000-57272.7270.0000.0007K=54782.6090.0000.000-54782.6090.0000.00010K=669.3640.0001311.953-669.364-0.0001311.9537K=669.3640.0001311.953-669.364-0.0001311.95310K=669.3640.0001311.953-669.364-0.0001311.953130.000473.3281561.9830.000-473.3281561.98320.00071794.872-0.000-0.000-71794.872-0.00020.00071794.872-0.000-0.000-71794.872-0.00050.000473.3281561.9830.000-473.3281561.98380.000414.2351429.1120.000-414.2351429.112110.00064285.714-0.000-0.000-64285.714-0.00080.00064285.714-0.000-0.000-64285.714-0.000110.00064285.714-0.000-0.000-64285.714-0.000140.0001561.9836872.7270.000-1561.9833436.36431636.350-0.0003829.060-1636.3500.0001914.53031636.350-0.0003829.060-1636.3500.0001914.53060.0001561.9836872.7270.000-1561.9833436.36490.0001429.1126573.9130.000-1429.1123286.957121311.953-0.0003428.571-1311.9530.0001714.28691311.953-0.0003428.571-1311.9530.0001714.286121311.953-0.0003428.571-1311.9530.0001714.28615-57272.7270.0000.00057272.7270.0000.0004-932.393-0.000-1636.350932.3930.000-1636.3507-932.393-0.000-1636.350932.3930.000-1636.35010-57272.7270.0000.00057272.7270.0000.00010-54782.6090.0000.00054782.6090.0000.00013-669.364-0.000-1311.953669.3640.000-1311.95316-669.364-0.000-1311.953669.3640.000-1311.95319-669.364-0.000-1311.953669.3640.000-1311.953220.000-473.328-1561.9830.000473.328-1561.9835-0.000-71794.8720.0000.00071794.8720.0008-0.000-71794.8720.0000.00071794.8720.000110.000-473.328-1561.9830.000473.328-1561.983110.000-414.235-1429.1120.000414.235-1429.11214-0.000-64285.7140.0000.00064285.7140.00017-0.000-64285.7140.0000.00064285.7140.00020-0.000-64285.7140.0000.00064285.7140.000230.0001561.9833436.3640.000-1561.9836872.72761636.350-0.0001914.530-1636.3500.0003829.06091636.350-0.0001914.530-1636.3500.0003829.060120.0001561.9833436.3640.000-1561.9836872.727120.0001429.1123286.9570.000-1429.1126573.913151311.953-0.0001714.286-1311.9530.0003428.571181311.953-0.0001714.286-1311.9530.0003428.571211311.953-0.0001714.286-1311.9530.0003428.57124Fuerzas 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) .-Ff01Ff01Ff01Ff0.001Ff04Ff0.0004Ff07Ff07Ff010Ff0.0010Ff07Ff0.0007Ff010Ff0.0010Ff013Ff0.0001317.6814217.68142020.002050.000527.1882827.1882830.54971130.549711080.00080110.00110140.0001419.4495319.4503030.003060.000632.2423932.2423935.13221235.132212090.00090120.00120150.000150404070.0070100.000100100100130.00130160.000160190.00190220.0002233.2196533.21965080.0080110.0001134.05381134.05381151.74861451.7486140170.000170200.00200230.00023-41.97996-41.97996090.0090120.00012-39.023012-39.02312-60.507215-60.5072150180.000180210.00210240.00024123456789101112131415161718192021222324k=58205.1210.0001636.350-57272.7270.0000.000-932.393-0.0001636.3500.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00010.00072268.2001561.9830.000-473.3281561.983-0.000-71794.872-0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00021636.3501561.98310701.7870.000-1561.9833436.364-1636.3500.0001914.5300.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0003-57272.7270.0000.00058205.1210.0001636.3500.0000.0000.000-932.393-0.0001636.3500.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00040.000-473.328-1561.9830.00072268.200-1561.9830.0000.0000.000-0.000-71794.872-0.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.00050.0001561.9833436.3641636.350-1561.98310701.7870.0000.0000.000-1636.3500.0001914.5300.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0006-932.393-0.000-1636.3500.0000.0000.00058874.4850.000-324.397-57272.7270.0000.0000.0000.0000.000-669.364-0.0001311.9530.0000.0000.0000.0000.0000.0007-0.000-71794.8720.0000.0000.0000.0000.000136553.9141561.9830.000-473.3281561.9830.0000.0000.000-0.000-64285.714-0.0000.0000.0000.0000.0000.0000.00081636.350-0.0001914.5300.0000.0000.000-324.3971561.98314130.3590.000-1561.9833436.3640.0000.0000.000-1311.9530.0001714.2860.0000.0000.0000.0000.0000.00090.0000.0000.000-932.393-0.000-1636.350-57272.7270.0000.000113657.0930.000-324.397-54782.6090.0000.0000.0000.0000.000-669.364-0.0001311.9530.0000.0000.000100.0000.0000.000-0.000-71794.8720.0000.000-473.328-1561.9830.000136968.150-132.8720.000-414.2351429.1120.0000.0000.000-0.000-64285.714-0.0000.0000.0000.000110.0000.0000.0001636.350-0.0001914.5300.0001561.9833436.364-324.397-132.87220704.2720.000-1429.1123286.9570.0000.0000.000-1311.9530.0001714.2860.0000.0000.000120.0000.0000.0000.0000.0000.0000.0000.0000.000-54782.6090.0000.00055451.9730.0001311.9530.0000.0000.0000.0000.0000.000-669.364-0.0001311.953130.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-414.235-1429.1120.00064699.950-1429.1120.0000.0000.0000.0000.0000.000-0.000-64285.714-0.000140.0000.0000.0000.0000.0000.0000.0000.0000.0000.0001429.1123286.9571311.953-1429.11210002.4840.0000.0000.0000.0000.0000.000-1311.9530.0001714.286150.0000.0000.0000.0000.0000.000-669.364-0.000-1311.9530.0000.0000.0000.0000.0000.000669.3640.000-1311.9530.0000.0000.0000.0000.0000.000160.0000.0000.0000.0000.0000.000-0.000-64285.7140.0000.0000.0000.0000.0000.0000.0000.00064285.7140.0000.0000.0000.0000.0000.0000.000170.0000.0000.0000.0000.0000.0001311.953-0.0001714.2860.0000.0000.0000.0000.0000.000-1311.9530.0003428.5710.0000.0000.0000.0000.0000.000180.0000.0000.0000.0000.0000.0000.0000.0000.000-669.364-0.000-1311.9530.0000.0000.0000.0000.0000.000669.3640.000-1311.9530.0000.0000.000190.0000.0000.0000.0000.0000.0000.0000.0000.000-0.000-64285.7140.0000.0000.0000.0000.0000.0000.0000.00064285.7140.0000.0000.0000.000200.0000.0000.0000.0000.0000.0000.0000.0000.0001311.953-0.0001714.2860.0000.0000.0000.0000.0000.000-1311.9530.0003428.5710.0000.0000.000210.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-669.364-0.000-1311.9530.0000.0000.0000.0000.0000.000669.3640.000-1311.953220.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.000-0.000-64285.7140.0000.0000.0000.0000.0000.0000.0000.00064285.7140.000230.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0000.0001311.953-0.0001714.2860.0000.0000.0000.0000.0000.000-1311.9530.0003428.57124

Pff=0.01Pfs=0.0016Pf=11.0117.720.00170.02Pff: Fuerzas Fijacion en los g.l.l19.430.00180.03Pfs: Fuerzas fijacion en los g.l.r0.040.00190.04Pf: Fuerzas en los g.l.l33.250.00200.05-42.060.00210.060.070.000227.2727.280.000230.0832.290.000240.090.0100.01064.6110.011-3.9120.0120.0130.01351.7140.014-60.5150.015

Desplazamientos Globales en los g.l.l (f = Kff-1. (Pf - Pff)) .-FUERZAS DE LAS BARRAS:0.01BARRA 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=0.040.0210.02113.30010.017073.44170.0110575.951074051251.91110-0.05-0.002-0.00217.4632-0.008-0819.2458-0.0011-3.7111-24023.547110.06DELTA:-0.003DELTA:-0.003F=4.8333DELTA:-0.009DELTA:-09F=3.3759DELTA:-0.0012DELTA:-8.9312F=-49943.819120.070.0240.024-13.30040.0110010-3.441100.0019-575.9519-74051251.91119-0.08-0.005-0.00533.4385-0.0011-01141.997110.00203.712024023.54720-0.090.0060.006-28.8086-0.0012-012-62.580120.0021-5.6021-44228.483210.010-13.300-3.441-24023.547-0.011BARRA 2:BARRA 5:BARRA 8:-0.0120.013Desplazamientos 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-0.0140.0210.00117.46310.01100.011013.296100.0113560.351372045178.727130.015-0.0020.022-2.3002-0.0011-0.001135.48511-0.00146.971445204.50114DELTA:-0.003DELTA:-0.003F=-4.8333DELTA:-0.0012DELTA:-0.0012F=39.61712DELTA:0.0115DELTA:18.5415F=96957.959150.0170.007-17.46370.01130.0113-13.296130.0022-560.3522-72045178.72722-0.0080.0182.3008-0.0014-0.001446.813140.0023-6.9723-45204.50123-0.009-0.009-3.24190.01150.0115-30.936150.00248.792480243.68624-2.300-13.29645204.501BARRA 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' . ' + FfReaccion en los Apoyos de los G.L.R (Ps = Ksf . f + Psf) .-0.0240.00433.43840.0170.017579.8177-0.0050.02513.3005-0.008-0.008-4.9618-1.4616DELTA:0.006DELTA:0.006F=28.8086DELTA:-0.009DELTA:-0.009F=-12.716936.71170.01100.0010-33.438100.00160.0016-579.81716Ps=5.8518-0.00110.0111-13.300110.00170.00174.96117-3.4519-0.0012-0.001217.877120.00180.0018-6.73218110.922013.300-4.9618.4221-13.29629182412246.81296050332321.185735535224