pseudo tridimiensional
DESCRIPTION
Ejemplo de Análisis PseudoTridimensionalTRANSCRIPT
Dimenciones
Viga AViga BViga CViga DViga 1Viga 2Viga 3Viga 4ColumnaPlacas
En todas las losas se considera un espesor de 20cmMetrado de cargas para todo el edificioCarga MuertaPeso de losa 1Peso de losa 2
f'c 280 kg/cm2 Peso de losa 3Peso de losa 4
Viga A 5.5 0.60 Peso de losa 5Viga B 5.5 0.60 Peso de losa 6Viga C 5.5 0.60 Peso de losa 7Viga D 5.5 0.60 Peso de viga AViga 1 6 0.60 Peso de viga BViga 2 6 0.60 Peso de viga CViga 3 6 0.60 Peso de viga DViga 4 6 0.60 Peso de viga 1Losa 6 0.20 Peso de viga 2
Peso de viga 3Fx = 0.2 310.85375 62.17075 Peso de viga 4Fy = 0.15 310.85375 46.6280625 Peso de columnaMz = 5% 34.1939125 39.6338531 Peso Placa A y B
39.6338531 AcabadosTabiqueria
Carga VivaSobrecargaTabiqueria movil
D
C
B
A
1 2 3 4
b h I E L0.3 0.60 0.0054 2509980.08 110.3 0.60 0.0054 2509980.08 7.50.3 0.60 0.0054 2509980.08 60.3 0.60 0.0054 2509980.08 4.50.3 0.60 0.0054 2509980.08 110.3 0.60 0.0054 2509980.08 160.3 0.60 0.0054 2509980.08 160.3 0.60 0.0054 2509980.08 110.3 0.40 0.0016 2509980.08 30.3 5.5 4.159375 2509980.08 3
En todas las losas se considera un espesor de 20cmMetrado de cargas para todo el edificio
5.5 5 300 82505.5 5 300 82505.5 6 300 99005.5 6 300 99005.5 6 300 99005.5 5 300 82505.5 5 300 8250
0.3 0.6 11 2400 190080.3 0.6 7.5 2400 129600.3 0.6 6 2400 77760.3 0.6 4.5 2400 58320.3 0.6 11 2400 142560.3 0.6 16 2400 207360.3 0.6 16 2400 207360.3 0.6 11 2400 142560.3 0.4 3 2400 86400.3 5.5 3 2400 23760
15.5 15.5 -4.5 100 2357515.5 15.5 -4.5 100 23575
257810 kg257.81 ton
15.5 15.5 -4.5 125 29468.7515.5 15.5 -4.5 100 23575
53043.75 kg53.04375 ton
Informacion Geometrica de Seccion
Vigabase 0.3 m Peralte 0.6 m
PlacaAncho o espesor 0.3 Longitud o peralte 2.00 m
ColumnaAncho o espesor 0.3 Longitud o peralte 0.60 m
Informacion Mecanica del Material
Modulo de Elasticidad (E) 2.50E+06 kg/cm2
Modulo de Corte (G) 1.00E+06 kg/cm2
Caracteristicas Geometricas
Placa I = 0.2 m4A = 0.6 m2As = 0.5 m2φ = 1.33
Caracteristicas Geometricas
Columna I = 0.0054 m4A = 0.18 m2As = 0.15 m2φ = 0.12
Caracteristicas GeometricasViga con Brazo Rigido %Inercia bruta 75%
Brazo Rigido disminuido en h/4brazo ai 1.0 m a = 0.85 mbrazo bi 0.3 m b = 0.15 mLongitud a caras 1.7 m L = 2.00 mViga I = 0.00405 m4
A = 0.18 m2As = 0.15 m2φ = 0.203
Matriz de Rigidez de la Estructura asociado a los grados de libertad no restringidosQ
0000
10
1 D1 = vB2 D2 = θB3 D3 = vC4 D4 = θC5 D5 = u
Fuerza en la Placa
Fuerza en la columna
Fuerza en la viga
11.0
00
1-100
HT =
Longitud (eje) 3 m
Alto (eje) 3 m
Alto (eje) 3 m
GlobalLocal 1 2 3
95238 0 -1428570 500000 0
K placa -142857 0 380952-95238 0 142857
0 -500000 0-142857 0 47619
GlobalLocal 1 2 3
5357 0 -80360 150000 0
K columna -8036 0 16554-5357 0 8036
0 -150000 0-8036 0 7554
A
B
Global 1s1 = 12630 Local 1s2 = 23365 12630s3 = 14524 K viga 23365s4 = 48288 -12630s5 = 21808 14524s6 = 21766
= K11
1 2 3 4512630 23365 -12630 14524
23365 429241 -23365 21808= -12630 -23365 162630 -14524
14524 21808 -14524 383190 142857 0 8036
2.90299E-06-6.36438E-05
= -9.67665E-06-8.49016E-061.90468E-04
K placa5
1 2 3 495238 0 -142857 -95238
0 500000 0 0-142857 0 380952 142857
= -95238 0 142857 952380 -500000 0 0
-142857 0 47619 142857
K col5
1 2 3 45357 0 -8036 -5357
0 150000 0 0-8036 0 16554 8036
= -5357 0 8036 53570 -150000 0 0
-8036 0 7554 8036
K viga1 2 3 4
12630 23365 -12630 1452423365 48288 -23365 21808
-12630 -23365 12630 -1452414524 21808 -14524 21766
0 0 0
A L
A C
AR
A
1 0 0
0 1 00 -0.3 1
0 0 01 0 00 1 00 0.3 1
5 1 24 5 6
-95238 0 -142857 10 -500000 0 2
142857 0 47619 395238 0 142857 4 5
0 500000 0 5 1142857 0 380952 6 2
5 3 44 5 6
-5357 0 -8036 10 -150000 0 2
8036 0 7554 35357 0 8036 4 5
0 150000 0 5 38036 0 16554 6 4
C
D
2 3 42 3 4
23365 -12630 14524 1 148288 -23365 21808 2 2
-23365 12630 -14524 3 321808 -14524 21766 4 4
K11 X D
50 1 D1 = vB
142857 2 D2 = θB0 3 X D3 = vC
8036 4 D4 = θC100595 5 D5 = u
K placa X d1 25 60 -142857 1 0
-500000 0 2 00 47619 3 00 142857 4 5 X 1.90468E-04
500000 0 5 1 2.90299E-060 380952 6 2 -6.36438E-05
K col X d3 45 60 -8036 1 0
-150000 0 2 00 7554 3 00 8036 4 5 X 1.90468E-04
150000 0 5 3 -9.67665E-060 16554 6 4 -8.49016E-06
K viga X d
1 2.90299E-062 -6.36438E-053 -9.67665E-064 -8.49016E-06
Vb = -1.4514969351Mb = -1.5129878281
Vc = 1.4514969351Mc = -0.9545569616
A
B
1.979533E-006 -1.65543E-007 6.822361E-008 -6.91125E-007-1.65543E-007 4.536439E-006 5.518113E-007 -9.75171E-0076.822361E-008 5.518113E-007 6.439255E-006 2.303749E-006-6.91125E-007 -9.75171E-007 2.303749E-006 2.796479E-0052.902994E-007 -6.36438E-006 -9.67665E-007 -0.000000849
= q
-9.048
-1.45124.179
= 9.0481.4512.964
= q
-0.9521.4511.466
= 0.952-1.4511.390
= q
-1.451-2.9641.451
-1.390
C
D
2.902994E-007-6.36438E-006-9.67665E-007-0.000000849
1.904682E-005
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 1 0.0054 11 2509980.08Viga 2 0.0054 7.5 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 22464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 33614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4
5354.62417 2677.3120849 2677.31208 2677.31208 12677.31208 10283.312326 2464.34408 0 22677.31208 2464.3440782 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
12
5354.6241698
2677.3120849 2677.3120849
1 0.0001008607 -1.50878E-0053 -1.50878E-005 6.295914E-005
4.333742E-006 -0.000018084
2677.31208492677.31208492677.3120849
K11 =
K12 =
K22-1 =
K21 =
5354.6241698 -
3986.9130617
14
KL =
KL =
2677.312085
4.33374E-006-0.0000180848.46643E-005
1367.711108
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 1 0.0054 11 2509980.08Viga 2 0.0054 7.5 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 22464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 33614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4
5354.62417 2677.3120849 2677.31208 2677.31208 12677.31208 10283.312326 2464.34408 0 22677.31208 2464.3440782 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
12
5354.6241698
2677.3120849 2677.3120849
1 0.0001008607 -1.50878E-0053 -1.50878E-005 6.295914E-005
4.333742E-006 -0.000018084
2677.31208492677.31208492677.3120849
K11 =
K12 =
K22-1 =
K21 =
5354.6241698 -
3986.9130617
14
KL =
KL =
2677.312085
4.33374E-006-0.0000180848.46643E-005
1367.711108
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 1 0.0054 11 2509980.08Viga 2 0.0054 7.5 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 22464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 33614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4
5354.62417 2677.3120849 2677.31208 2677.31208 12677.31208 10283.312326 2464.34408 0 22677.31208 2464.3440782 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
12
5354.6241698
2677.3120849 2677.3120849
1 0.0001008607 -1.50878E-0053 -1.50878E-005 6.295914E-005
4.333742E-006 -0.000018084
2677.31208492677.31208492677.3120849
5354.6241698 -
3986.9130617
K11 =
K12 =
K22-1 =
K21 =
KL =
KL =
14
2677.312085
4.33374E-006-0.0000180848.46643E-005
1367.711108
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 1 0.0054 11 2509980.08Viga 2 0.0054 7.5 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 22464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 33614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4
5354.62417 2677.3120849 2677.31208 2677.31208 12677.31208 10283.312326 2464.34408 0 22677.31208 2464.3440782 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
12
5354.6241698
2677.3120849 2677.3120849
1 0.0001008607 -1.50878E-0053 -1.50878E-005 6.295914E-005
4.333742E-006 -0.000018084
2677.31208492677.31208492677.3120849
5354.6241698 -
3986.9130617
K11 =
K12 =
K22-1 =
K21 =
KL =
KL =
14
2677.312085
4.33374E-006-0.0000180848.46643E-005
1367.711108
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 3 0.0054 6 2509980.08Viga 4 0.0054 4.5 2509980.08Viga 5 0.0054 11 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 24517.96414 9035.9282866 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 36023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 42464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4 5
7139.49889 2677.3120849 2677.31208 2677.31208 2677.312082677.31208 14390.552456 4517.96414 0 02677.31208 4517.9641433 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
12
7139.49889309
2677.31208491 2677.31208491
1 7.371115E-005 -0.0000134453 -0.000013445 4.282491E-005
3.725382E-006 -0.000011866-8.92769E-007 2.843635E-006
2677.312084912677.312084912677.312084912677.31208491
7139.49889309 -
K11 =
K12 =
K22-1 =
K21 =
KL =
5684.3606019914
15
12345
KL =
2677.3120849 2677.3120849
3.725382E-006 -8.92769E-007-0.000011866 2.843635E-006
4.928466E-005 -1.18108E-005-1.18108E-005 0.0001000753
1455.1382911
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 3 0.0054 6 2509980.08Viga 4 0.0054 4.5 2509980.08Viga 5 0.0054 11 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 24517.96414 9035.9282866 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 36023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 42464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4 5
7139.49889 2677.3120849 2677.31208 2677.31208 2677.312082677.31208 14390.552456 4517.96414 0 02677.31208 4517.9641433 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
12
7139.49889309
2677.31208491 2677.31208491
1 7.371115E-005 -0.0000134453 -0.000013445 4.282491E-005
3.725382E-006 -0.000011866-8.92769E-007 2.843635E-006
2677.312084912677.312084912677.312084912677.31208491
7139.49889309 -
K11 =
K12 =
K22-1 =
K21 =
KL =
5684.3606019914
15
12345
KL =
2677.3120849 2677.3120849
3.725382E-006 -8.92769E-007-0.000011866 2.843635E-006
4.928466E-005 -1.18108E-005-1.18108E-005 0.0001000753
1455.1382911
Inercia (m4) Longitud (m) ElasticidadColumna 0.0016 3 2509980.08Viga 3 0.0054 6 2509980.08Viga 4 0.0054 4.5 2509980.08Viga 5 0.0054 11 2509980.08
Columna 1 21 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 24517.96414 9035.9282866 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 36023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 42464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Matriz de rigidez del portico1 2 3 4 5
7139.49889 2677.3120849 2677.31208 2677.31208 2677.312082677.31208 14390.552456 4517.96414 0 02677.31208 4517.9641433 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
12
7139.49889309
2677.31208491 2677.31208491
1 7.371115E-005 -0.0000134453 -0.000013445 4.282491E-005
3.725382E-006 -0.000011866-8.92769E-007 2.843635E-006
2677.312084912677.312084912677.312084912677.31208491
7139.49889309 -
K11 =
K12 =
K22-1 =
K21 =
KL =
5684.3606019914
15
12345
KL =
2677.3120849 2677.3120849
3.725382E-006 -8.92769E-007-0.000011866 2.843635E-006
4.928466E-005 -1.18108E-005-1.18108E-005 0.0001000753
1455.1382911
Portico i xi (m) yi (m) xo (m) yo (m)1 0 15.5 7.75 7.752 0 10.5 7.75 7.753 0 6 7.75 7.754 0 0 7.75 7.75A 0 0 7.75 7.75B 8 0 7.75 7.75C 15.5 0 7.75 7.75
Matriz de rigidez total del portico 1
1K1 = 0 x 3986.9130616907 x
-7.75
3986.91306 0 -30898.576228103K1 = 0 0 0
-30898.5762 0 239463.965767794
Matriz de rigidez total del portico 3
1K3 = 0 x 3986.9130616907 x
1.75
3986.91306 0 6977.0978579586
K3 = 0 0 06977.09786 0 12209.9212514276
Matriz de rigidez total del portico A
6.13E-17KA = 1 x 5684.3606019934 x
-7.75
2.1330E-029 3.48209E-013 -2.69862192E-012KA = 3.4821E-013 5684.360602 -44053.794665449
-2.699E-012 -44053.79467 341416.908657228
Matriz de rigidez total del portico C
6.13E-17KC = 1 x 5684.3606019934 x
7.75
2.1330E-029 3.48209E-013 2.698621923E-012KC = 3.4821E-013 5684.360602 44053.7946654487
2.6986E-012 44053.794665 341416.908657228
Matriz de rigidez total de la estructura
15947.6522 1.04463E-012 -3986.9130616906K = 1.0446E-012 17053.081806 1421.0901504984 ------>
-3986.91306 1421.0901505 1204477.97266813
uo 6.275709241E-005 -1.73125952E-008D = vo = -1.73125952E-008 5.864619794E-005
φo 2.077511419E-007 -6.92503806E-008
Porticos1 3986.913062 3986.913063 3986.913064 3986.91306A 5684.3606B 5684.3606C 5684.3606
xi - xo yi - yo0 0 1 -7.75 7.75 3986.913060 0 1 -7.75 2.75 3986.913060 0 1 -7.75 -1.75 3986.913060 0 1 -7.75 -7.75 3986.91306
90 1 6.13E-17 -7.75 -7.75 5684.360690 1 6.12E-17 0.25 -7.75 5684.360690 1 6.12E-17 7.75 -7.75 5684.3606
Matriz de rigidez total del portico 2
11 0 -7.75 K2 = 0
-2.75
3986.91306K2 = 0
-10964.0109
Matriz de rigidez total del portico 4
11 0 1.75 K4 = 0
7.75
3986.91306
Resumen de resultados KL
KL
(°) sen () cos () KL
K4 = 030898.5762
Matriz de rigidez total del portico B
6.13E-176.13E-17 1 -7.75 KB = 1
0.25
2.1330E-029KB = 3.4821E-013
8.7052E-014
6.13E-17 1 7.75
2.077511419E-007 62.17075 uo-6.92503806E-008 x 46.6280625 ------> vo =
0.000000831 39.633853125 φo
ri-7.75-2.751.757.75
-7.750.257.75
Matriz de rigidez total del portico 2
x 3986.91306 x 1 0 -2.75
0 -10964.01090 00 30151.03
Matriz de rigidez total del portico 4
x 3986.91306 x 1 0 7.75
0 30898.5762
0 00 239463.966
Matriz de rigidez total del portico B
x 5684.3606 x 6.13E-17 1 0.25
3.48209280E-013 8.7052E-0145684.3606019934 1421.090151421.0901504984 355.272538
Matriz de fuerzas Matriz de desplazamientos
62.17075 uoF = 46.6280625 D = vo
39.6338531 φo
0.0039091 m0.0027307 m0.0000426 rad
GiPorticos ri Desplazamiento por portico
1 1 0 -7.75 u1 =2 1 0 -2.75 u2 =3 1 0 1.75 u3 =4 1 0 7.75 u4 =A 6.1257E-017 1 -7.75 uA =B 6.1257E-017 1 0.25 uB =C 6.1257E-017 1 7.75 uC =
Giro por porticoPortico 1
1 2 3 45354.62417 2677.31208 2677.31208 2677.31208 1
k1 = 2677.31208 10283.3123 2464.34408 0 22677.31208 2464.34408 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
ϑ2 -0.00086335 radϑ3 = -0.00028541 radϑ4 -0.00067946 rad
Portico 21 2 3 4
5354.62417 2677.31208 2677.31208 2677.31208 1k2 = 2677.31208 10283.3123 2464.34408 0 2
2677.31208 2464.34408 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
ϑ2 -0.00091476 radϑ3 = -0.0003024 radϑ4 -0.00071992 rad
Portico 31 2 3 4
5354.62417 2677.31208 2677.31208 2677.31208 1
Cos Seno
k3 = 2677.31208 10283.3123 2464.34408 0 22677.31208 2464.34408 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
ϑ2 -0.00096103 radϑ3 = -0.0003177 radϑ4 -0.00075634 rad
Portico 41 2 3 4
5354.62417 2677.31208 2677.31208 2677.31208 1k4 = 2677.31208 10283.3123 2464.34408 0 2
2677.31208 2464.34408 17512.055 3614.37131 32677.31208 0 3614.37131 12583.3668 4
ϑ2 -0.00102273 radϑ3 = -0.00033809 radϑ4 -0.00080489 rad
Portico A1 2 3 4 5
7139.49889 2677.31208 2677.31208 2677.31208 2677.31208kA = 2677.31208 14390.5525 4517.96414 0 0
2677.31208 4517.96414 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
ϑ2 -0.00040551 radϑ3 = -0.00013083 radϑ4 -0.00018851 radϑ5 -0.00057978 rad
Portico B1 2 3 4 5
7139.49889 2677.31208 2677.31208 2677.31208 2677.31208kB = 2677.31208 14390.5525 4517.96414 0 0
2677.31208 4517.96414 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
ϑ2 -0.00046312 radϑ3 = -0.00014942 rad
ϑ4 -0.00021529 radϑ5 -0.00066214 rad
Portico C1 2 3 4 5
7139.49889 2677.31208 2677.31208 2677.31208 2677.31208kC = 2677.31208 14390.5525 4517.96414 0 0
2677.31208 4517.96414 26438.4568 6023.95219 02677.31208 0 6023.95219 22331.2167 2464.344082677.31208 0 0 2464.34408 10283.3123
ϑ2 -0.00051712 radϑ3 = -0.00016684 radϑ4 -0.0002404 radϑ5 -0.00073935 rad
Desplazamientos totalesuo 0.0039091 mvo = 0.0027307 mφo 0.0000426 rad
Desplazamiento por portico Porticos0.00357875 m -0.003579 10.00379187 m -0.003792 20.00398367 m -0.003984 30.00423941 m -0.004239 40.00240041 m -0.002400 A0.00274139 m -0.002741 B0.00306107 m -0.003061 C
ϑ2 0.0001008607 -1.50878E-005 4.333742E-006---------> ϑ3 = -1.50878E-005 6.295914E-005 -0.000018084
ϑ4 4.333742E-006 -0.000018084 8.466433E-005
F = -0.003579 x 5354.6241698 + 2677.3120849
F = -24.057586922 ton
ϑ2 0.0001008607 -1.50878E-005 4.333742E-006---------> ϑ3 = -1.50878E-005 6.295914E-005 -0.000018084
ϑ4 4.333742E-006 -0.000018084 8.466433E-005
F = -0.003792 x 5354.6241698 + 2677.3120849
F = -25.490215597 ton
ϑ2 0.0001008607 -1.50878E-005 4.333742E-006
K22-1
K22-1
K22-1
---------> ϑ3 = -1.50878E-005 6.295914E-005 -0.000018084ϑ4 4.333742E-006 -0.000018084 8.466433E-005
F = -0.003984 x 5354.6241698 + 2677.3120849
F = -26.779581404 ton
ϑ2 0.0001008607 -1.50878E-005 4.333742E-006---------> ϑ3 = -1.50878E-005 6.295914E-005 -0.000018084
ϑ4 4.333742E-006 -0.000018084 8.466433E-005
F = -0.004239 x 5354.6241698 + 2677.3120849
F = -28.498735813 ton
1 ϑ2 7.371115E-005 -0.0000134452 ---------> ϑ3 = -0.000013445 4.282491E-0053 ϑ4 3.725382E-006 -0.0000118664 ϑ5 -8.92769E-007 2.843635E-0065
F = -0.002400 x 7139.49889309 +
F = -20.630650923 ton
1 ϑ2 7.371115E-005 -0.0000134452 ---------> ϑ3 = -0.000013445 4.282491E-0053 ϑ4 3.725382E-006 -0.0000118664 ϑ5 -8.92769E-007 2.843635E-0065
F = -0.002741 x 7139.49889309 +
K22-1
K22-1
K22-1
F = -23.56128099 ton
1 ϑ2 7.371115E-005 -0.0000134452 ---------> ϑ3 = -0.000013445 4.282491E-0053 ϑ4 3.725382E-006 -0.0000118664 ϑ5 -8.92769E-007 2.843635E-0065
F = -0.003061 x 7139.49889309 +
F = -26.308746677 ton
K22-1
Giro por porticoϑ2 (rad) ϑ3 (rad) ϑ4 (rad) ϑ5 (rad)
-0.0008633508 -0.0002854052 -0.00067946-0.0009147633 -0.0003024011 -0.00071992-0.0009610346 -0.0003176974 -0.00075634-0.0010227296 -0.0003380924 -0.00080489-0.0004055132 -0.0001308303 -0.00018851 -0.00057978-0.0004631173 -0.0001494151 -0.00021529 -0.00066214-0.0005171211 -0.0001668383 -0.0002404 -0.00073935
u12677.3120849
x 2677.3120849 x -0.0035792677.3120849
2677.3120849 2677.3120849 x -0.00086335-0.00028541-0.00067946
u22677.3120849
x 2677.3120849 x -0.0037922677.3120849
2677.3120849 2677.3120849 x -0.00091476-0.0003024
-0.00071992
u32677.3120849
K21
K21
K21
x 2677.3120849 x -0.0039842677.3120849
2677.3120849 2677.3120849 x -0.00096103-0.0003177
-0.00075634
u42677.3120849
x 2677.3120849 x -0.0042392677.3120849
2677.3120849 2677.3120849 x -0.00102273-0.00033809-0.00080489
uA3.725382E-006 -8.92769E-007 2677.31208
-0.000011866 2.843635E-006 x 2677.31208 x -0.0024004.928466E-005 -1.18108E-005 2677.31208-1.18108E-005 0.0001000753 2677.31208
2677.3120849 2677.3120849 2677.31208 2677.31208 x -0.00040551-0.00013083-0.00018851-0.00057978
uB3.725382E-006 -8.92769E-007 2677.31208
-0.000011866 2.843635E-006 x 2677.31208 x -0.0027414.928466E-005 -1.18108E-005 2677.31208-1.18108E-005 0.0001000753 2677.31208
2677.3120849 2677.3120849 2677.31208 2677.31208 x -0.00046312-0.00014942
K21
K22-1 K21
K22-1 K21
-0.00021529-0.00066214
uC3.725382E-006 -8.92769E-007 2677.31208
-0.000011866 2.843635E-006 x 2677.31208 x -0.0030614.928466E-005 -1.18108E-005 2677.31208-1.18108E-005 0.0001000753 2677.31208
2677.3120849 2677.3120849 2677.31208 2677.31208 x -0.00051712-0.00016684
-0.0002404-0.00073935
K22-1 K21
Porticos u (m) ϑ2 (rad) ϑ3 (rad) ϑ4 (rad) ϑ5 (rad)1 0.00357875 -0.000863351 -0.00028541 -0.000679462 0.00379187 -0.000914763 -0.0003024 -0.000719923 0.00398367 -0.000961035 -0.0003177 -0.000756344 0.00423941 -0.00102273 -0.00033809 -0.00080489A 0.00240041 -0.000405513 -0.00013083 -0.00018851 -0.00057978B 0.00274139 -0.000463117 -0.00014942 -0.00021529 -0.00066214C 0.00306107 -0.000517121 -0.00016684 -0.0002404 -0.00073935
Portico 1Columna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 30 1 20 4928.68816 2464.3440782 1 2 x0 2464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 3 x3614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico 2Columna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 2 x2464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 3 x3614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico 3Columna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 2 x2464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 3 x3614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico 4Columna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 1 2 31 2
4928.68816 2464.3440782 1 2 x2464.34408 4928.6881563 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 2 3 41 2
7228.74263 3614.3713146 1 3 x3614.37131 7228.7426293 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico AColumna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 2 x4517.96414 9035.9282866 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 3 x
6023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 4 x2464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico BColumna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 2 x4517.96414 9035.9282866 2 3
Columna 1 31 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 3 x6023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 4 x2464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Portico CColumna 1 2
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 3 2 31 2
9035.92829 4517.9641433 1 2 x4517.96414 9035.9282866 2 3
Columna 1 3
1 2 3 41784.87472 -2677.312085 -1784.87472 -2677.31208 1
-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 4 3 41 2
12047.9044 6023.952191 1 3 x6023.95219 12047.904382 2 4
Columna 1 41 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
Viga 5 4 51 2
4928.68816 2464.3440782 1 4 x2464.34408 4928.6881563 2 5
Columna 1 51 2 3 4
1784.87472 -2677.312085 -1784.87472 -2677.31208 1-2677.31208 5354.6241698 2677.31208 2677.31208 2-1784.87472 2677.3120849 1784.87472 2677.31208 3-2677.31208 2677.3120849 2677.31208 5354.62417 4
0 V inferior -4.07616878x 0 M inferior 7.26998291
1 0.0035787544 --------> V superior 4.076168782 -0.000863351 M superior 4.95852343
-0.000863351 --------> M izquierda -4.95852343-0.000285405 M derecha -3.5342667
0 V inferior -5.62350942x 0 M inferior 8.81732355
1 0.0035787544 --------> V superior 5.623509423 -0.000285405 M superior 8.05320472
-0.000285405 --------> M izquierda -4.51893802-0.000679459 M derecha -5.94319475
0 V inferior -4.56850444x 0 M inferior 7.76231857
1 0.0035787544 --------> V superior 4.568504444 -0.000679459 M superior 5.94319475
0 V inferior -4.31890452x 0 M inferior 7.7029102
1 0.0037918691 --------> V superior 4.318904522 -0.000914763 M superior 5.25380337
-0.000914763 --------> M izquierda -5.25380337-0.000302401 M derecha -3.74473219
0 V inferior -5.95838926x 0 M inferior 9.34239494
1 0.0037918691 --------> V superior 5.958389263 -0.000302401 M superior 8.53277285
-0.000302401 --------> M izquierda -4.78804066-0.000719921 M derecha -6.29711184
0 V inferior -4.84055876x 0 M inferior 8.22456444
1 0.0037918691 --------> V superior 4.840558764 -0.000719921 M superior 6.29711184
0 V inferior -4.53736669x 0 M inferior 8.09254477
1 0.0039836724 --------> V superior 4.537366692 -0.000961035 M superior 5.51955532
-0.000961035 --------> M izquierda -5.51955532-0.000317697 M derecha -3.93415113
0 V inferior -6.25978112x 0 M inferior 9.81495919
1 0.0039836724 --------> V superior 6.259781123 -0.000317697 M superior 8.96438417
-0.000317697 --------> M izquierda -5.03023304-0.000756336 M derecha -6.61563722
0 V inferior -5.08540765x 0 M inferior 8.64058572
1 0.0039836724 --------> V superior 5.085407654 -0.000756336 M superior 6.61563722
0 V inferior -4.82864959x 0 M inferior 8.61205752
1 0.0042394101 --------> V superior 4.828649592 -0.00102273 M superior 5.87389125
-0.00102273 --------> M izquierda -5.87389125-0.000338092 M derecha -4.18670972
0 V inferior -6.66163693x 0 M inferior 10.4450449
1 0.0042394101 --------> V superior 6.661636933 -0.000338092 M superior 9.53986592
-0.000338092 --------> M izquierda -5.35315621-0.00080489 M derecha -7.04033773
0 V inferior -5.41187283x 0 M inferior 9.19528076
1 0.0042394101 --------> V superior 5.411872834 -0.00080489 M superior 7.04033773
0 V inferior -3.19874526x 0 M inferior 5.3409606
1 0.0024004098 --------> V superior 3.198745262 -0.000405513 M superior 4.25527517
-0.000405513 --------> M izquierda -4.25527517-0.00013083 M derecha -3.01426781
0 V inferior -3.93415702x 0 M inferior 6.07637237
1 0.0024004098 --------> V superior 3.934157023 -0.00013083 M superior 5.7260987
-0.00013083 --------> M izquierda -2.71183089
-0.000188514 M derecha -3.0593145
0 V inferior -3.77971986x 0 M inferior 5.92193521
1 0.0024004098 --------> V superior 3.779719864 -0.000188514 M superior 5.41722438
-0.000188514 --------> M izquierda -2.35790988-0.000579782 M derecha -3.32212963
0 V inferior -2.73217249x 0 M inferior 4.87438783
1 0.0024004098 --------> V superior 2.732172495 -0.000579782 M superior 3.32212963
0 V inferior -3.65313417x 0 M inferior 6.09965599
1 0.0027413933 --------> V superior 3.653134172 -0.000463117 M superior 4.85974651
-0.000463117 --------> M izquierda -4.85974651-0.000149415 M derecha -3.44245129
0 V inferior -4.49301282x 0 M inferior 6.93953464
1 0.0027413933 --------> V superior 4.493012823 -0.000149415 M superior 6.53950382
-0.000149415 --------> M izquierda -3.09705253-0.000215293 M derecha -3.49389696
0 V inferior -4.31663752x 0 M inferior 6.76315934
1 0.0027413933 --------> V superior 4.316637524 -0.000215293 M superior 6.18675321
-0.000215293 --------> M izquierda -2.69285625-0.000662142 M derecha -3.79404556
3
0 V inferior -3.12028369x 0 M inferior 5.56680552
1 0.0027413933 --------> V superior 3.120283695 -0.000662142 M superior 3.79404556
0 V inferior -4.07912377x 0 M inferior 6.81093292
1 0.0030610654 --------> V superior 4.079123772 -0.000517121 M superior 5.4264384
-0.000517121 --------> M izquierda -5.4264384-0.000166838 M derecha -3.8438733
0 V inferior -5.01694013x 0 M inferior 7.74874928
1 0.0030610654 --------> V superior 5.016940133 -0.000166838 M superior 7.30207111
-0.000166838 --------> M izquierda -3.45819781-0.000240398 M derecha -3.90131802
0 V inferior -4.81999782x 0 M inferior 7.55180696
1 0.0030610654 --------> V superior 4.819997824 -0.000240398 M superior 6.90818649
-0.000240398 --------> M izquierda -3.00686847-0.000739354 M derecha -4.23646675
3
0 V inferior -3.48413795x 0 M inferior 6.2159471
1 0.0030610654 --------> V superior 3.484137955 -0.000739354 M superior 4.23646675
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