Metodo de Muto 2

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ANALISIS POR EL METODO DE MUTO 1.0ESTRUCTURACION EN PLANTA Y ELEVACION PREDIMENSIONAMIENTO A. ESTRUCTURACION EN PLANTA B m. VP 0.25 E VS 0.25 C4 C2 C2 C2 C4 C1 0.25 4.3 C2 0.25 C3 0.25 D C4 0.25 C3 C1 C1 C1 C3 LOSA ALIG. 3.3 7.25 PERIMETRO C C3 C1 C1 C1 C3 4.3 16 B C3 C1 C1 C1 C3 3.85 A C4 C2 C2 C2 C4 14.05 3.25 3.75 3.05 3.75 1 2 3 4 5 B. ESTRUCTURACION EN ELEVACION 0.17 0.30 0.45 2.43 2.30 2.6 2.15 0.17 0.30 0.45 2.43 2.30 2.6 2.15 0.17 0.30 0.45 2.43 2.30 2.6 2.15 0.17 0.30 0.45 3.03 2.75 2.90 2.975 1 1 1 1

Transcript of Metodo de Muto 2

Page 1: Metodo de Muto 2

ANALISIS POR EL METODO DE MUTO

1.0 ESTRUCTURACION EN PLANTA Y ELEVACION PREDIMENSIONAMIENTO

A. ESTRUCTURACION EN PLANTA B m. H m.VP 0.25 0.45

E VS 0.25 0.30C4 C2 C2 C2 C4

C1 0.25 0.35

4.3 C2 0.25 0.35

C3 0.25 0.25

D C4 0.25 0.25C3 C1 C1 C1 C3

LOSA ALIG. 0.17

3.3 7.25

PERIMETRO 0.70

CC3 C1 C1 C1 C3

4.3

16

BC3 C1 C1 C1 C3

3.85

AC4 C2 C2 C2 C4 14.053.25 3.75 3.05 3.75

1 ### 3 4 5

B. ESTRUCTURACION EN ELEVACION

0.17 0.300.45

2.43 2.302.6 2.15

0.17 0.300.45

2.43 2.302.6 2.15

0.17 0.300.45

2.43 2.302.6 2.15

0.17 0.300.45

3.03 2.75 2.902.975

1 1 1 1

Page 2: Metodo de Muto 2

FUERZAS CORTANTES TOTALES POR PISO

SENTIDO PRINCIPAL Y SECUNDARIONivel hi (m) Pi (Kg) Pihi V Fi Vi

4 10.775 191738.222 2065979.342 92414.773 32703.745 32703.7453 8.175 221038.616 1806990.686 92414.773 28604.044 61307.7892 5.575 221038.616 1232290.284 92414.773 19506.733 80814.5221 2.975 246325.237 732817.580 92414.773 11600.251 92414.773

suma 5838077.892 92414.773

32703.745

61307.789

80814.522

92414.773

Page 3: Metodo de Muto 2

INGRESO SIMPLE

1 0.4 A V13 0.45 B V28 X V X

K1 K2 K?K 1 3 4.035yo 0.65 0.55 0.498

Page 4: Metodo de Muto 2

RIGIDECESA. SENTIDO PRB. SENTIDO SECUNDARIOVIGAS PRINCIPVIGAS SECUNDARIASKAB 4.931 K12 1.731KBC 4.415 K23 1.500KCD 5.753 K34 1.844KDE 4.415 K45 1.500COLUMNAS (P.TCOLUMNAS (P.TIP.)KC1 3.435 KC1 1.753KC2 3.435 KC2 1.753KC3 1.252 KC3 1.252KC4 1.252 KC4 1.252COLUMNAS (PISCOLUMNAS (PISO 01)KC1 3.002 KC1 1.532KC2 3.002 KC2 1.532KC3 1.094 KC3 1.094KC4 1.094 KC4 1.094

RELACION DE RIGIDECES, COEFICIENTE DE RIGIDEZ, COEFICIENTE DE DISTRIBUCION DE CORTE Y PI

PORTICO PRINCIPAL 1-1 (son similares 1-1 y 5-5)4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.473 yo 0.562 0.578 0.578 0.463

y

4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.523 yo 0.612 0.628 0.628 0.513

y

4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.5 yo 0.5 0.5 0.5 0.5

y3

y

4.931 4.415 5.753 4.415

4.5065 K 8.5415 9.293 9.293 4.035

###

0.7695 a

###

0.8577

###

0.867

###

0.867

###

0.751

0.8419 Dy 0.9385 0.949 0.949 0.822

0.475 yo 0.273 0.235 0.235 0.498

y2

y

A B C D E

Page 5: Metodo de Muto 2

PORTICO PRINCIPAL 5-5 (son similares 1-1 y 5-5)4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.473 yo 0.562 0.578 0.578 0.463

y

4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.523 yo 0.612 0.628 0.628 0.513

y

4.931 4.415 5.753 4.415

3.9385 K 7.4648 8.121 8.121 3.526

###

0.6632 a

###

0.7887

###

0.802

###

0.802

###

0.638

0.830 Dy 0.987 1.005 1.005 0.799

0.5 yo 0.5 0.5 0.5 0.5

y3

y

4.931 4.415 5.753 4.415

4.5065 K 8.5415 9.293 9.293 4.035

###

0.7695 a

###

0.8577

###

0.867

###

0.867

###

0.751

0.8419 Dy 0.9385 0.949 0.949 0.822

0.475 yo 0.273 0.235 0.235 0.498

y2

y

A B C D E

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PORTICO SECUNDARIO A-A (son similares A-A y E-E)1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488##

#0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y

1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488

###

0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y

1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488

###

0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y3

y

1.731 1.500 1.844 1.500

1.5818 K 2.109 2.183 2.183 1.371

###

0.5812 a

###

0.635

###

0.641

###

0.641

1.09

4 0.555

0.636 Dx 0.9727 0.983 0.983 0.607

yo

y2

y

1 2 3 4 5

Page 7: Metodo de Muto 2

PORTICO SECUNDARIO E-E (son similares A-A y E-E)1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488

###

0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y

1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488

###

0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y

º 1.731 1.500 1.844 1.500

1.3824 K 1.843 1.908 1.908 1.198

###

0.4087 a

###

0.480

###

0.488

###

0.488

1.25

2 0.375

0.512 Dx 0.841 0.856 0.856 0.469

yo

y3

y

1.731 1.500 1.844 1.500

1.5818 K 2.109 2.183 2.183 1.371

###

0.5812 a

###

0.635

###

0.641

###

0.641

1.09

4 0.555

0.636 Dx 0.9727 0.983 0.983 0.607

yo

y2

y

1 2 3 4 5

Page 8: Metodo de Muto 2

DETERMINACION DE CENTRO DE GRAVEDAD Y CENTRO DE RIGIDECES

PLANTA 04

0.7

99

1.3

44

1.3

44

1.3

44

0.7

99

7.25 0.512 0.841 0.856 0.856 0.469 DxE = 3.5335.075 0.70

##

#1

.00

5

2.0

50

2.0

50

2.0

50

1.0

05

224.800 m2 0.512 0.841 0.856 0.856 0.469 DxD = 3.53316

##

#1

.00

5

2.0

50

2.0

50

2.0

50

1.0

05

Xcg = 6.950Ycg = 8.184 0.512 0.841 0.856 0.856 0.469 DxC = 3.533

##

#0

.98

7

1.9

80

1.9

80

1.9

80

0.9

87

0.512 0.841 0.856 0.856 0.469 DxB = 3.53314.05

##

#0

.83

0

1.4

35

1.4

35

1.4

35

0.8

30

Xcr = 6.801Ycr = 7.840 0.512 0.841 0.856 0.856 0.469 DxA = 3.533

3.25 3.75 3.05 3.75

Dy1

Dy2

Dy3

Dy4

Dy5 17.664

= = = = =

4.6

26

8.8

59

8.8

59

8.8

59

4.6

26

35.830

PLANTA 03

0.7

99

1.3

44

1.3

44

1.3

44

0.7

99

0.512 0.841 0.856 0.856 0.469 DxE = 3.5337.25

5.075 0.70

##

#1

.00

5

2.0

50

2.0

50

2.0

50

1.0

05

0.512 0.841 0.856 0.856 0.469 DxD = 3.533224.800 m2

16

##

#1

.00

5

2.0

50

2.0

50

2.0

50

1.0

05

Xcg = 6.950 0.512 0.841 0.856 0.856 0.469 DxC = 3.533Ycg = 8.184

##

#0

.98

7

1.9

80

1.9

80

1.9

80

0.9

87

0.512 0.841 0.856 0.856 0.469 DxB = 3.533

14.05

##

#0

.83

0

1.4

35

1.4

35

1.4

35

0.8

30

Xcr = 6.801Ycr = 7.840 0.512 0.841 0.856 0.856 0.469 DxA = 3.533

3.25 3.75 3.05 3.75

Dy1

Dy2

Dy3

Dy4

Dy5 17.664

= = = = =

4.6

26

8.8

59

8.8

59

8.8

59

4.6

26

35.830

∑ Dxi

∑ Dyi

∑ Dx

∑ Dy

∑ Dx

∑ Dy

Page 9: Metodo de Muto 2

4.6

26

8.8

59

8.8

59

8.8

59

4.6

26

35.830

PLANTA 02

0.7

99

1.3

44

1.3

44

1.3

44

0.7

99

0.512 0.841 0.856 0.856 0.469 DxE = 3.5337.25

5.075 0.70

##

#1

.00

5

2.0

50

2.0

50

2.0

50

1.0

05

0.512 0.841 0.856 0.856 0.469 DxD = 3.533224.800 m2

16#

##

1.0

05

2.0

50

2.0

50

2.0

50

1.0

05

Xcg = 6.950 0.512 0.841 0.856 0.856 0.469 DxC = 3.533Ycg = 8.184

##

#0

.98

7

1.9

80

1.9

80

1.9

80

0.9

87

0.512 0.841 0.856 0.856 0.469 DxB = 3.533

14.05

##

#0

.83

0

1.4

35

1.4

35

1.4

35

0.8

30

Xcr = 6.801Ycr = 7.840 0.512 0.841 0.856 0.856 0.469 DxA = 3.533

3.25 3.75 3.05 3.75

Dy1

Dy2

Dy3

Dy4

Dy5 17.664

= = = = =

4.6

26

8.8

59

8.8

59

8.8

59

4.6

26

35.830

PLANTA 01

0.8

22

1.7

05

1.7

05

1.7

05

0.8

22

0.636 0.973 0.983 0.983 0.607 DxE = 4.1817.25

5.075 0.70

##

#0

.94

9

2.1

66

2.1

66

2.1

66

0.9

49

0.636 0.973 0.983 0.983 0.607 DxD = 4.181224.800 m2

16

##

#0

.94

9

2.1

66

2.1

66

2.1

66

0.9

49

Xcg = 6.950 0.636 0.973 0.983 0.983 0.607 DxC = 4.181Ycg = 8.184

##

#0

.93

8

2.1

22

2.1

22

2.1

22

0.9

38

0.636 0.973 0.983 0.983 0.607 DxB = 4.181

14.05

##

#0

.84

2

1.7

66

1.7

66

1.7

66

0.8

42

Xcr = 6.798Ycr = 7.840 0.636 0.973 0.983 0.983 0.607 DxA = 4.181

3.25 3.75 3.05 3.75

Dy1

Dy2

Dy3

Dy4

Dy5 20.905

= = = = =

∑ Dy∑ Dy

∑ Dx

∑ Dy

∑ Dx

∑ Dx

∑ Dy

∑ Dx

∑ Dy

∑ Dx∑ Dx∑ Dx

∑ Dx

∑ Dy

∑ Dx

∑ Dy

∑ Dx∑ Dx∑ Dx∑ Dx∑ Dx

Page 10: Metodo de Muto 2

4.5

00

9.9

25

9.9

25

9.9

25

4.5

00

38.776∑ Dy∑ Dy∑ Dy∑ Dy∑ Dy∑ Dy∑ Dy∑ Dy∑ Dy

Page 11: Metodo de Muto 2

Xcg=∑ AiXi

∑ Ai

Ycg=∑ AiYi

∑ Ai

Xcr=∑1

n

Xi Dyi

∑1

n

Dyi

Ycr=∑1

n

Yi Dxi

∑1

n

Dxi

Page 12: Metodo de Muto 2

EXCENTRICIDADA. EXCENTRICIDAD TEORICA

ex = excentricidad con respecto al eje xey = excentricidad con respecto al eje y

Planta 4 3 2 1ex (m) 0.149 0.149 0.149 0.152ey (m) 0.344 0.344 0.344 0.344

B. EXCENTRICIDAD POR REGLAMENTO

B.1 PARA TORSION EN EL EJE X

Planta 4 3 2 1ex1 (m) 1.317 1.317 1.317 1.317ex2 (m) -0.456 -0.456 -0.456 -0.456

B.2 PARA TORSION EN EL EJE Y

Planta 4 3 2 1ey1 (m) 0.926 0.926 0.926 0.926ey2 (m) -0.554 -0.554 -0.554 -0.554

C. EXCENTRICIDAD FINAL

Planta 4 3 2 1ex (m) 1.317 1.317 1.317 1.317ey (m) 0.926 0.926 0.926 0.926

ex = Xcg − Xcr ey = Ycg −Ycr

cg

cr eyex

e

e1 = 1 .5 ey + 0 .05bye2 = ey − 0 .05by

e1 = 1 .5 ex + 0 .05bxe2 = ex − 0 .05bx

Page 13: Metodo de Muto 2

FUERZA CORTANTE POR TORSIONEl corte torsional se determina en cada uno de las direcciones

MTx Momento torsor en la dirección XMTy Momento torsor en la dirección YIp Momento polar de inerciaDx Coeficiente de distribuciçon en la dirección XDy Coeficiente de distribuciçon en la dirección YX Distancia en la dirección X con respecto al centro de rigidezY Distancia en la dirección Y con respecto al centro de rigidez

MOMENTO POLAR DE INERCIA

Tomando con respecto al centro de rigidez Ip =Ipx + Ipy (para ambas direcciones)

Planta 4 3 2 1Ipx 540.822 540.822 540.822 640.041Ipy 646.154 646.154 646.154 658.922Ip 1186.976 1186.976 1186.976 1298.962

MOMENTOS TORSORES

Vx=Vy=Vi Fuerza cortante por piso (similar en ambas direcciones)ex excentricidad final en la dirección xey excentricidad final en la dirección y

Pisos 4 3 2 1MTx 43055.041 80712.754 106393.702 121665.632MTy 30275.942 56756.529 74815.155 85554.247

PLANTA 04Sentido x-x (secundario)Pórtico Dx Y MTx Ip Dx*Y*(MTx/Ip)A-A 3.533 7.840 43055.041 1186.976 1004.682B-B 3.533 3.990 43055.041 1186.976 511.311C-C 3.533 0.310 43055.041 1186.976 39.726D-D 3.533 3.610 43055.041 1186.976 462.615E-E 3.533 7.910 43055.041 1186.976 1013.652Sentido y-y (principal)Pórtico Dy X MTy Ip Dy*X*(MTy/Ip)1-1 4.626 6.801 30275.942 1186.976 802.4722-2 8.859 3.551 30275.942 1186.976 802.4633-3 8.859 0.199 30275.942 1186.976 44.9484-4 8.859 3.249 30275.942 1186.976 734.1755-5 4.626 6.999 30275.942 1186.976 825.812

PLANTA 03Sentido x-x (secundario)

Vtx = DxY [MTxIp ]Vty = DyX [MTyIp ]

Ip=∑ DxiYi2 + ∑ Dyi Xi2

MTx = Vx∗ex MTy = Vy ∗ey

Page 14: Metodo de Muto 2

Pórtico Dx Y MTx Ip Dx*Y*(MTx/Ip)A-A 3.533 7.840 80712.754 1186.976 1883.418B-B 3.533 3.990 80712.754 1186.976 958.525C-C 3.533 0.310 80712.754 1186.976 74.472D-D 3.533 3.610 80712.754 1186.976 867.237E-E 3.533 7.910 80712.754 1186.976 1900.235Sentido y-y (principal)Pórtico Dy X MTy Ip Dy*X*(MTy/Ip)1-1 4.626 6.801 56756.529 1186.976 1504.3482-2 8.859 3.551 56756.529 1186.976 1504.3313-3 8.859 0.199 56756.529 1186.976 84.2614-4 8.859 3.249 56756.529 1186.976 1376.3165-5 4.626 6.999 56756.529 1186.976 1548.102

PLANTA 02Sentido x-x (secundario)Pórtico Dx Y MTx Ip Dx*Y*(MTx/Ip)A-A 3.533 7.840 106393.702 1186.976 2482.679B-B 3.533 3.990 106393.702 1186.976 1263.506C-C 3.533 0.310 106393.702 1186.976 98.167D-D 3.533 3.610 106393.702 1186.976 1143.172E-E 3.533 7.910 106393.702 1186.976 2504.846Sentido y-y (principal)Pórtico Dy X MTy Ip Dy*X*(MTy/Ip)1-1 4.626 6.801 74815.155 1186.976 1982.9972-2 8.859 3.551 74815.155 1186.976 1982.9743-3 8.859 0.199 74815.155 1186.976 111.0714-4 8.859 3.249 74815.155 1186.976 1814.2285-5 4.626 6.999 74815.155 1186.976 2040.672

PLANTA 01Sentido x-x (secundario)Pórtico Dx Y MTx Ip Dx*Y*(MTx/Ip)A-A 4.181 7.840 121665.632 1186.976 3359.892B-B 4.181 3.990 121665.632 1186.976 1709.945C-C 4.181 0.310 121665.632 1186.976 132.853D-D 4.181 3.610 121665.632 1186.976 1547.093E-E 4.181 7.910 121665.632 1186.976 3389.891

Sentido y-y (principal)Pórtico Dy X MTy Ip Dy*X*(MTy/Ip)1-1 4.500 6.798 85554.247 1186.976 2204.9662-2 9.925 3.548 85554.247 1186.976 2537.8503-3 9.925 0.202 85554.247 1186.976 144.7794-4 9.925 3.252 85554.247 1186.976 2326.6505-5 4.500 7.002 85554.247 1186.976 2271.387

Page 15: Metodo de Muto 2

FUERZA CORTANTE TOTAL

PLANTA 04Sentido x-x (secundario) Sentido y-y (principal)Pórtico Dxi Vi Vtxi VTx Pórtico Dyi Vi Vtyi VTyA-A 3.533 32703.745 1004.682 7545.431 1-1 4.626 32703.745 802.472 5024.726B-B 3.533 32703.745 511.311 7052.060 2-2 8.859 32703.745 802.463 8888.876C-C 3.533 32703.745 39.726 6580.475 3-3 8.859 32703.745 44.948 8131.361D-D 3.533 32703.745 462.615 7003.364 4-4 8.859 32703.745 734.175 8820.588E-E 3.533 32703.745 1013.652 7554.401 5-5 4.626 32703.745 825.812 5048.065suma 17.664 Max 7554.401 suma 35.830 Max 8888.876

PLANTA 03Sentido x-x (secundario) Sentido y-y (principal)Pórtico Dxi Vi Vtxi VTx Pórtico Dyi Vi Vtyi VTyA-A 3.533 61307.789 1883.418 14144.976 1-1 4.626 61307.789 1504.348 9419.558B-B 3.533 61307.789 958.525 13220.083 2-2 8.859 61307.789 1504.331 16663.454C-C 3.533 61307.789 74.472 12336.030 3-3 8.859 61307.789 84.261 15243.384D-D 3.533 61307.789 867.237 13128.795 4-4 8.859 61307.789 1376.316 16535.439E-E 3.533 61307.789 1900.235 14161.792 5-5 4.626 61307.789 1548.102 9463.312suma 17.664 Max 14161.792 suma 35.830 Max 16663.454

PLANTA 02Sentido x-x (secundario) Sentido y-y (principal)Pórtico Dxi Vi Vtxi VTx Pórtico Dyi Vi Vtyi VTyA-A 3.533 80814.522 2482.679 18645.583 1-1 4.626 80814.522 1982.997 12416.645B-B 3.533 80814.522 1263.506 17426.411 2-2 8.859 80814.522 1982.974 21965.383C-C 3.533 80814.522 98.167 16261.072 3-3 8.859 80814.522 111.071 20093.479D-D 3.533 80814.522 1143.172 17306.077 4-4 8.859 80814.522 1814.228 21796.636E-E 3.533 80814.522 2504.846 18667.750 5-5 4.626 80814.522 2040.672 12474.320suma 17.664 Max 18667.750 suma 35.830 Max 21965.383

PLANTA 01Sentido x-x (secundario) Sentido y-y (principal)Pórtico Dxi Vi Vtxi VTx Pórtico Dyi Vi Vtyi VTyA-A 4.181 92414.773 3359.892 21842.847 1-1 4.500 92414.773 2204.966 12930.730B-B 4.181 92414.773 1709.945 20192.900 2-2 9.925 92414.773 2537.850 26192.265C-C 4.181 92414.773 132.853 18615.807 3-3 9.925 92414.773 144.779 23799.194D-D 4.181 92414.773 1547.093 20030.048 4-4 9.925 92414.773 2326.650 25981.065E-E 4.181 92414.773 3389.891 21872.846 5-5 4.500 92414.773 2271.387 12997.151suma 20.905 Max 21872.846 suma 38.776 Max 26192.265

VT =Dn

∑ Dn∗Vn + Vtorsion

VTx =Dxi

∑ Dxi∗Vi + Vtxi VTy =

Dyi

∑ Dyi∗Vi + Vtyi

Page 16: Metodo de Muto 2

DISTRIBUCION DE FUERZAS CORTANTES

SENTIDO PRINCIPALPORTICO 1-1 suma0.830 0.987 1.005 1.005 0.799 4.626

5024.726 901.937 1072.579 1091.216 1091.216 867.777 5024.726yh 2.600

0.830 0.987 1.005 1.005 0.799 4.6269419.558 1690.808 2010.701 2045.639 2045.639 1626.771 9419.558

yh 2.600

0.830 0.987 1.005 1.005 0.799 4.62612416.645 2228.784 2650.459 2696.515 2696.515 2144.372 12416.645

yh 2.600

0.842 0.938 0.949 0.949 0.822 4.50012930.730 2419.117 2696.542 2726.297 2726.297 2362.477 12930.730

yh 2.975

A B C D E

PORTICO 2-2 suma1.435 1.980 2.050 2.050 1.344 8.859

8888.876 1440.155 1986.480 2056.921 2056.921 1348.399 8888.876yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85916663.454 2699.774 3723.938 3855.989 3855.989 2527.764 16663.454

yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85921965.383 3558.780 4908.809 5082.876 5082.876 3332.041 21965.383

yh 2.600

1.766 2.122 2.166 2.166 1.705 9.92526192.265 4660.432 5598.915 5717.044 5717.044 4498.830 26192.265

yh 2.975

A B C D E

PORTICO 3-3 suma1.435 1.980 2.050 2.050 1.344 8.859

8131.361 1317.424 1817.191 1881.629 1881.629 1233.488 8131.361yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85915243.384 2469.697 3406.581 3527.379 3527.379 2312.347 15243.384

yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85920093.479 3255.499 4490.478 4649.710 4649.710 3048.082 20093.479

yh 2.600

1.766 2.122 2.166 2.166 1.705 9.92523799.194 4234.629 5087.367 5194.703 5194.703 4087.792 23799.194

yh 2.975

A B C D E

Page 17: Metodo de Muto 2

PORTICO 4-4 suma1.435 1.980 2.050 2.050 1.344 8.859

8820.588 1429.091 1971.219 2041.119 2041.119 1338.040 8820.588yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85916535.439 2679.033 3695.329 3826.366 3826.366 2508.345 16535.439

yh 2.600

1.435 1.980 2.050 2.050 1.344 8.85921796.636 3531.440 4871.098 5043.828 5043.828 3306.443 21796.636

yh 2.600

1.766 2.122 2.166 2.166 1.705 9.92525981.065 4622.853 5553.769 5670.945 5670.945 4462.554 25981.065

yh 2.975

A B C D E

PORTICO 5-5 suma0.830 0.987 1.005 1.005 0.799 4.626

5048.065 906.126 1077.561 1096.285 1096.285 871.808 5048.065yh 2.600

0.830 0.987 1.005 1.005 0.799 4.6269463.312 1698.662 2020.040 2055.141 2055.141 1634.327 9463.312

yh 2.600

0.830 0.987 1.005 1.005 0.799 4.62612474.320 2239.137 2662.771 2709.040 2709.040 2154.333 12474.320

yh 2.600

0.842 0.938 0.949 0.949 0.822 4.50012997.151 2431.544 2710.393 2740.301 2740.301 2374.612 12997.151

yh 2.975

A B C D E

Page 18: Metodo de Muto 2

SENTIDO SECUNDARIOPORTICO A-A suma0.512 0.841 0.856 0.856 0.469 3.533

7545.431 1092.868 1795.422 1827.700 1827.700 1001.741 7545.431yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53314144.976 2048.736 3365.772 3426.282 3426.282 1877.905 14144.976

yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53318645.583 2700.596 4436.683 4516.446 4516.446 2475.411 18645.583

yh 2.600

0.636 0.973 0.983 0.983 0.607 4.18121842.847 3322.416 5081.437 5133.179 5133.179 3172.637 21842.847

yh 2.975

1 2 3 4 5

PORTICO B-B suma0.512 0.841 0.856 0.856 0.469 3.533

7052.060 1021.409 1678.025 1708.193 1708.193 936.241 7052.060yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53313220.083 1914.776 3145.695 3202.249 3202.249 1755.115 13220.083

yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53317426.411 2524.013 4146.583 4221.131 4221.131 2313.552 17426.411

yh 2.600

0.636 0.973 0.983 0.983 0.607 4.18120192.900 3071.450 4697.599 4745.433 4745.433 2932.985 20192.900

yh 2.975

1 2 3 4 5

PORTICO C-C suma0.512 0.841 0.856 0.856 0.469 3.533

6580.475 953.105 1565.812 1593.963 1593.963 873.632 6580.475yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53312336.030 1786.731 2935.336 2988.108 2988.108 1637.747 12336.030

yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53316261.072 2355.227 3869.293 3938.855 3938.855 2158.841 16261.072

2.600

0.636 0.973 0.983 0.983 0.607 4.18118615.807 2831.566 4330.710 4374.808 4374.808 2703.915 18615.807

yh 2.975

1 2 3 4 5

Page 19: Metodo de Muto 2

PORTICO D-D suma0.512 0.841 0.856 0.856 0.469 3.533

7003.364 1014.356 1666.438 1696.397 1696.397 929.776 7003.364yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53313128.795 1901.553 3123.973 3180.136 3180.136 1742.996 13128.795

yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53317306.077 2506.584 4117.950 4191.983 4191.983 2297.577 17306.077

yh 2.600

0.636 0.973 0.983 0.983 0.607 4.18120030.048 3046.680 4659.714 4707.162 4707.162 2909.331 20030.048

yh 2.975

1 2 3 4 5

PORTICO E-E suma0.512 0.841 0.856 0.856 0.469 3.533

7554.401 1094.167 1797.556 1829.873 1829.873 1002.932 7554.401yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53314161.792 2051.171 3369.773 3430.355 3430.355 1880.138 14161.792

yh 2.600

0.512 0.841 0.856 0.856 0.469 3.53318667.750 2703.807 4441.958 4521.816 4521.816 2478.354 18667.750

yh 2.600

0.636 0.973 0.983 0.983 0.607 4.18121872.846 3326.979 5088.415 5140.229 5140.229 3176.994 21872.846

yh 2.975

1 2 3 4 5

Page 20: Metodo de Muto 2