Analisis pseudotridimensional

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Un pequeño ejemplo explicado detalladamente en excel provecho.

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ANALISIS PSEUDOTRIDIMENSIONAL

Columna1,21,412K1bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K 1,1 =661.21542.9-661.2771.42-377.8-661.2377.8-661.24m661.2771.4-661.21542.91,11,31,5Xo =4.5Yo =4.5

13EJEXi (m)Yi (m)icosiseniribhEIch377.8661.2-377.8661.211000104.5G1 0.30.32.00E+066.75E-043.5K 1,3 =661.21542.9-661.2771.43206010-1.5G2-377.8-661.2377.8-661.23012010-7.5G3661.2771.4-661.21542.96m3mA009001-4.5G4B6090011.5G5141234C12090017.5G6bhEIch377.8661.2-377.8661.211133.5661.2661.2661.210.30.32.00E+066.75E-043.5K 1,5 =661.21542.9-661.2771.44K1 =661.28742.93600.002-377.8-661.2377.8-661.2661.23600.015942.93600.03K1 =K11K12=1.27E-04-3.17E-051.31E-05=0.070.010.07=101.07661.2771.4-661.21542.9661.203600.08742.94K21K22-3.17E-057.71E-05-3.17E-050.070.010.071.31E-05-3.17E-051.27E-040.070.010.07KL1 =1032.461416135Tn/m

Vigacosiseniri11032.462749.760.00-2038.9123G1 =104.500.00Kestructra =0.002749.762038.91bhEIvL600.01800.0-600.01800.04.54646.08-2038.912038.91123505.220.30.62.00E+065.40E-036K 1,2 =1800.07200.0-1800.03600.02-600.0-1800.0600.0-1800.01032.460.004646.081800.03600.0-1800.07200.030.000.000.00U1 =4.0E-034646.080.0020907.34K^-1=3.68E-04-4.56E-066.15E-061034f1 =4.1E+00-4.56E-063.68E-04-6.15E-06f =0bhEIvL600.01800.0-600.01800.06.15E-06-6.15E-068.30E-0600.30.62.00E+065.40E-036K 1,4 =1800.07200.0-1800.03600.03-600.0-1800.0600.0-1800.0-7.19E-023.68E-03m1800.03600.0-1800.07200.04 -K22^-1 . K21 =-8.99E-03U0=-4.56E-05m-7.19E-026.15E-05rad

-2.85E-04q1 = -K22^-1 . K21 . U1 =-3.56E-052.18E+00-2.85E-04Columna2,22,42.40E+0012K2bhEIch377.8661.2-377.8661.20.30.32.00E+066.75E-043.5K 2,1 =661.21542.9-661.2771.42.56E+00-377.8-661.2377.8-661.214m661.2771.4-661.21542.922,12,32,52.59E+00

13bhEIch377.8661.2-377.8661.21-2.18E+000.30.32.00E+066.75E-043.5K 2,3 =661.21542.9-661.2771.43-377.8-661.2377.8-661.2-1.28E+00661.2771.4-661.21542.96m3m

141234bhEIch377.8661.2-377.8661.211133.5661.2661.2661.210.30.32.00E+066.75E-043.5K 2,5 =661.21542.9-661.2771.44K2 =661.28742.93600.002-377.8-661.2377.8-661.2661.23600.015942.93600.03K2 =K11K12=1.27E-04-3.17E-051.31E-05=0.070.010.07=101.07661.2771.4-661.21542.9661.203600.08742.94K21K22-3.17E-057.71E-05-3.17E-050.070.010.071.31E-05-3.17E-051.27E-040.070.010.07KL2 =1032.5Tn/m

Vigacosiseniri11032.4623G2 =10-1.500.00bhEIvL600.01800.0-600.01800.0-1.5-1548.690.30.62.00E+065.40E-036K 2,2 =1800.07200.0-1800.03600.02-600.0-1800.0600.0-1800.01032.460.00-1548.691800.03600.0-1800.07200.030.000.000.001.98E+00-1548.690.002323.04U2 =3.6E-03342.17E+00bhEIvL600.01800.0-600.01800.0f2 =3.7E+000.30.62.00E+065.40E-036K 2,4 =1800.07200.0-1800.03600.03-600.0-1800.0600.0-1800.02.32E+001800.03600.0-1800.07200.04-7.19E-02 -K22^-1 . K21 =-8.99E-032.35E+00-7.19E-02

-2.58E-04-1.98E+00q1 = -K22^-1 . K21 . U2 =-3.23E-05Columna3,2-2.58E-04-1.16E+0012K3bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K 3,1 =661.21542.9-661.2771.42-377.8-661.2377.8-661.24m661.2771.4-661.21542.93,13,3

13bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K 3,3 =661.21542.9-661.2771.43K3 =K11K12=1.38E-04-5.67E-05=0.050.05=70.85-377.8-661.2377.8-661.2K21K22-5.67E-051.38E-040.050.05661.2771.4-661.21542.96mKL3 =684.8Tn/m755.7661.2661.21K3 =661.28742.93600.02cosiseniri1684.84Viga661.23600.08742.93G3 =10-7.500.0023-7.5-5136.30bhEIvL600.01800.0-600.01800.00.30.62.00E+065.40E-036K 3,2 =1800.07200.0-1800.03600.02684.840.00-5136.30-600.0-1800.0600.0-1800.00.000.000.001.86E+001800.03600.0-1800.07200.03-5136.300.0038522.23U3 =3.2E-032.00E+00f3 =2.2E+00

1.86E+00

ColumnaA,2A,4 -K22^-1 . K21 =-5.36E-022.00E+0012-5.36E-02KAbhEIch377.8661.2-377.8661.20.30.32.00E+066.75E-043.5K A,1 =661.21542.9-661.2771.4-1.86E+00-377.8-661.2377.8-661.214mq1 = -K22^-1 . K21 . U3 =-1.73E-04661.2771.4-661.21542.92A,1A,3A,5-1.73E-04-1.86E+00

13bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K A,3 =661.21542.9-661.2771.43-377.8-661.2377.8-661.2661.2771.4-661.21542.96m3m

141234bhEIch377.8661.2-377.8661.211133.5661.2661.2661.210.30.32.00E+066.75E-043.5K A,5 =661.21542.9-661.2771.44KA =661.28742.93600.002-377.8-661.2377.8-661.2661.23600.015942.93600.03KA =K11K12=1.27E-04-3.17E-051.31E-05=0.070.010.07=101.07661.2771.4-661.21542.9661.203600.08742.94K21K22-3.17E-057.71E-05-3.17E-050.070.010.071.31E-05-3.17E-051.27E-040.070.010.07KLA =1032.5Tn/m

Vigacosiseniri00.0023GA =01-4.511032.46bhEIvL600.01800.0-600.01800.0-4.5-4646.080.30.62.00E+065.40E-036K A,2 =1800.07200.0-1800.03600.02-600.0-1800.0600.0-1800.00.000.000.00-1.77E-011800.03600.0-1800.07200.030.001032.46-4646.08UA =-3.2E-040.00-4646.0820907.34-1.95E-0134fA =-3.3E-01bhEIvL600.01800.0-600.01800.00.30.62.00E+065.40E-036K A,4 =1800.07200.0-1800.03600.03-2.09E-01-600.0-1800.0600.0-1800.0-7.19E-021800.03600.0-1800.07200.04 -K22^-1 . K21 =-8.99E-03-2.11E-01-7.19E-02

1.77E-012.32E-05q1 = -K22^-1 . K21 . UA =2.90E-061.04E-01ColumnaB,2B,42.32E-0512KBbhEIch377.8661.2-377.8661.20.30.32.00E+066.75E-043.5K B,1 =661.21542.9-661.2771.4-377.8-661.2377.8-661.214m661.2771.4-661.21542.92B,1B,3B,5

13bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K B,3 =661.21542.9-661.2771.43-377.8-661.2377.8-661.2661.2771.4-661.21542.96m3m

141234bhEIch377.8661.2-377.8661.211133.5661.2661.2661.210.30.32.00E+066.75E-043.5K B,5 =661.21542.9-661.2771.44KB =661.28742.93600.002-377.8-661.2377.8-661.2661.23600.015942.93600.03KB =K11K12=1.27E-04-3.17E-051.31E-05=0.070.010.07=101.07661.2771.4-661.21542.9661.203600.08742.94K21K22-3.17E-057.71E-05-3.17E-050.070.010.071.31E-05-3.17E-051.27E-040.070.010.07KLB =1032.5Tn/m

Vigacosiseniri00.0023GB =011.511032.46bhEIvL600.01800.0-600.01800.01.51548.690.30.62.00E+065.40E-036K B,2 =1800.07200.0-1800.03600.02-600.0-1800.0600.0-1800.00.000.000.003.02E-021800.03600.0-1800.07200.030.001032.461548.69UB =4.7E-050.001548.692323.043.05E-0234fB=4.8E-02bhEIvL600.01800.0-600.01800.00.30.62.00E+065.40E-036K B,4 =1800.07200.0-1800.03600.032.57E-02-600.0-1800.0600.0-1800.0-7.19E-021800.03600.0-1800.07200.04 -K22^-1 . K21 =-8.99E-032.83E-02-7.19E-02

-3.36E-06-1.51E-02q1 = -K22^-1 . K21 . UB =-4.20E-07-3.36E-06-2.57E-02ColumnaC,212KCbhEIch377.8661.2-377.8661.20.30.32.00E+066.75E-043.5K C,1 =661.21542.9-661.2771.4-377.8-661.2377.8-661.214m661.2771.4-661.21542.92C,1C,3

13bhEIch377.8661.2-377.8661.210.30.32.00E+066.75E-043.5K C,3 =661.21542.9-661.2771.43-377.8-661.2377.8-661.2KC =K11K12=1.38E-04-5.67E-05=0.050.05=70.85661.2771.4-661.21542.96mK21K22-5.67E-051.38E-040.050.05

123KLC =684.84Tn/m755.7661.2661.21VigaKC =661.28742.93600.02cosiseniri00.0023661.23600.08742.93GC =017.51684.84bhEIvL600.01800.0-600.01800.07.55136.300.30.62.00E+065.40E-036K C,2 =1800.07200.0-1800.03600.02-600.0-1800.0600.0-1800.00.000.000.002.41E-011800.03600.0-1800.07200.030.00684.845136.30UC =4.2E-040.005136.3038522.232.58E-01fC=2.8E-01

2.41E-01

-K22^-1 . K21 =-5.36E-022.58E-01-5.36E-02

-2.41E-01q1 = -K22^-1 . K21 . UC =-2.23E-05-2.23E-05-2.41E-01