análisis estructural II, método matricial

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análisis estructural II, método matricial

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EJERCICIO # 06 BARRA 1BARRA 2BARRA 3E2100000.00TN/m2E2100000.00TN/m2E2100000.00TN/m2I0.0054m4I0.0016m4I0.0016m4A0.18m2A0.12m2A0.12m2L9.000mL3.186mL3.186mangulo0.00angulo270.00angulo270.00sen0.00sen-1.00sen-1.00cos1.00cos-0.00cos-0.00EA/L42000.00EA/L79096.05EA/L79096.05EI11340.00EI3360.00EI3360.00

Matriz de rigidez en coordenadas locales.-123456123789456101112K=42000.000.000.00-42000.000.000.001K=79096.050.000.00-79096.050.000.001K=79096.050.000.00-79096.050.000.0040.00186.67840.000.00-186.67840.0020.001246.761986.090.00-1246.761986.0920.001246.761986.090.00-1246.761986.0950.00840.005040.000.00-840.002520.0030.001986.094218.460.00-1986.092109.2330.001986.094218.460.00-1986.092109.236-42000.000.000.0042000.000.000.004-79096.050.000.0079096.050.000.007-79096.050.000.0079096.050.000.00100.00-186.67-840.000.00186.67-840.0050.00-1246.76-1986.090.001246.76-1986.0980.00-1246.76-1986.090.001246.76-1986.09110.00840.002520.000.00-840.005040.0060.001986.092109.230.00-1986.094218.4690.001986.092109.230.00-1986.094218.4612

Matriz de transformacin.-T=1.000.000000T=-0.00-1.000000T=-0.00-1.0000000.001.0000001.00-0.0000001.00-0.0000000010000010000010000001.000.000000-0.00-1.000000-0.00-1.0000000.001.0000001.00-0.0000001.00-0.000000001000001000001Matriz de rigidez en coordenadas globales.-123456123789456101112K=42000.0000.0000.000-42000.0000.0000.0001K=1246.7610.0001986.090-1246.761-0.0001986.0901K=1246.7610.0001986.090-1246.761-0.0001986.09040.000186.667840.0000.000-186.667840.00020.00079096.045-0.000-0.000-79096.045-0.00020.00079096.045-0.000-0.000-79096.045-0.00050.000840.0005040.0000.000-840.0002520.00031986.090-0.0004218.456-1986.0900.0002109.22831986.090-0.0004218.456-1986.0900.0002109.2286-42000.0000.0000.00042000.0000.0000.0004-1246.761-0.000-1986.0901246.7610.000-1986.0907-1246.761-0.000-1986.0901246.7610.000-1986.090100.000-186.667-840.0000.000186.667-840.0005-0.000-79096.0450.0000.00079096.0450.0008-0.000-79096.0450.0000.00079096.0450.000110.000840.0002520.0000.000-840.0005040.00061986.090-0.0002109.228-1986.0900.0004218.45691986.090-0.0002109.228-1986.0900.0004218.45612Fuerzas 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) .-Ff01Ff01Ff01Ff0.001Ff04Ff0.000432.4675232.46752020.002050.000548.7013348.70133030.003060.00060404070.0070100.0001050.2886550.28865080.0080110.0001170.7103670.71036090.0090120.00012123456789101112k=43246.7610.0001986.090-42000.0000.0000.000-1246.761-0.0001986.09000010.00079282.712840.0000.000-186.667840.000-0.000-79096.045-0.00000021986.090840.0009258.4560.000-840.0002520.000-1986.0900.0002109.2280003-42000.0000.0000.00043246.7610.0001986.090000-1246.761-0.0001986.09040.000-186.667-840.0000.00079282.712-840.000000-0.000-79096.045-0.00050.000840.0002520.0001986.090-840.0009258.456000-1986.0900.0002109.2286-1246.761-0.000-1986.0900001246.7610.000-1986.0900007-0.000-79096.0450.0000000.00079096.0450.00000081986.090-0.0002109.228000-1986.0900.0004218.4560009000-1246.761-0.000-1986.0900001246.7610.000-1986.09010000-0.000-79096.0450.0000000.00079096.0450.000110001986.090-0.0002109.228000-1986.0900.0004218.45612

Pff=0.001Pfs=0.007Pf=11132.4720.00802Pff: Fuerzas Fijacion en los g.l.l48.7030.00903Pfs: Fuerzas fijacion en los g.l.r0.00040.001004Pf: Fuerzas en los g.l.l50.28950.00110570.71060.001206

Desplazamientos Globales en los g.l.l (f = Kff-1. (Pf - Pff)) .-FUERZAS DE LAS BARRAS:0.017191BARRA 1:-0.000242-0.006383Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + FfDelta f=0.0171340.017210.017212.2391-0.000805-0.00022-0.0002219.1282-0.009636DELTA:-0.00643DELTA:-0.00643F=-7.23130.017140.01714-2.2394-0.00085-0.0008563.6285Reaccion en los Apoyos de los G.L.R (Ps = Ksf . f + Psf) .--0.00966-0.009666.5876-2.239-8.767BARRA 2:19.138Ps=20.689Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + Ff-2.24100.017210.0002119.128163.6311-0.000220.017228.761213.7212DELTA:-0.00643DELTA:-0.00643F=7.23130.000070.00007-19.12870.000080.00008-8.76180.000090.0000920.68298.761BARRA 3:Desplazamientos globalDesplazamientos local ( D' = T. D )Fuerzas locales (internas) en cada barra: F' = k' . ' + Ff0.017140.0008463.6284-0.000850.017152.2395DELTA:-0.00966DELTA:-0.00966F=-6.58760.0000100.000010-63.628100.0000110.000011-2.239110.0000120.00001213.720122.239