Cálculo Enfierradura de Muros

7/25/2019 Clculo Enfierradura de Muros

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1. CLCULO ENFIERRADURA DE MUROS

Deben disponerse elementos de borde en los extremos de un muro y en los bordes alrededor delas aberturas. Estos elementos deben estar adecuadamente confinados transversalmente. Se deben

dimensionar para resistir todas las cargas gravitacionales mayoradas sobre el muro, incluyendo lascargas tributarias y el peso propio, as como la fuerza vertical requerida para resistir el momentovolcante calculado a partir de las fuerzas mayoradas relacionadas con el efecto ssmico.

Para el clculo de enfierradura de elementos de borde de muros se obtienen los esfuerzos en elplano del muro y a travs de un proceso iterativo se encuentra la armadura simtrica para la seccinrectangular (As=As) para el sismo en las direcciones de anlisis X e Y.

Posteriormente se compatibilizan los cruces de armaduras de manera de obtener la cuanta necesariapara el caso ms defavorable , ya que debido al monolitismo de las estructuras de hormign armadoy a la presencia de diafragmas rgidos, se producen esfuerzos en el plano del muro tanto para elsismo en X como en Y

Figura: Caso (A) , esfuerzos en el plano de muros X e Y debido a sismo en direccin X ; Caso (B),esfuerzos en el plano de muros X e Y debido a sismo en direccin Y.


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2. Armaduras simtricas mdulo izquierdo (Pu y Muen T-m; Asen cm2)

As = As' Sismo X As = As' Sismo Y

Pier Piso Loc Combo Pu Mu As Combo Pu Mu As

1 1 Top C6 -5.5 83.6 3.0 C8 -3 61.2 2.31 1 Bottom C6 -5.3 131.1 5.3 C8 0.3 84.8 3.81 -1 Top C6 -12.7 58.5 0.9 C8 -4.5 40.3 1.21 -1 Bottom C6 -9.5 138.3 5.1 C8 -1.4 88.5 3.82 3 Top C6 -0.3 0.2 0.1 C8 -0.3 0.2 0.12 3 Bottom C6 -0.3 0.2 0.1 C8 -0.3 0.2 0.12 2 Top C6 0.7 1.8 0.9 C8 -0.9 1.5 0.52 2 Bottom C2 -2.5 3.1 1.2 C4 -4.2 2.7 0.72 1 Top C6 0.9 1 0.6 C8 -1.5 0.7 0.12 1 Bottom C6 0.9 0.8 0.5 C8 -1.5 0.8 0.22 -1 Top C6 0.3 0.3 0.2 C1 -8.7 0.3 0.02 -1 Bottom C6 0.7 0.4 0.3 C8 -1.1 0.4 0.0

1' 3 Top C2 -37.9 47.3 0.2 C4 -37.9 47 0.21' 3 Bottom C1 -38.8 24.2 0.0 C1 -38.8 24.2 0.01' 2 Top C1 -88.8 31.2 0.0 C1 -88.8 31.2 0.01' 2 Bottom C1 -88.8 37.1 0.0 C1 -88.8 37.1 0.01' 1 Top C1 -78.8 6.4 0.0 C1 -78.8 6.4 0.01' 1 Bottom C1 -78.8 2.3 0.0 C1 -78.8 2.3 0.01' -1 Top C1 -107 13 0.0 C1 -107 13 0.01' -1 Bottom C1 -107 0.7 0.0 C1 -107 0.7 0.02' 3 Top C6 -0.6 22.5 1.2 C8 -1.2 15.6 0.72' 3 Bottom C6 -5.1 43.2 1.8 C8 -6 31.7 1.02' 2 Top C1 -29.6 16.7 0.0 C1 -29.6 16.7 0.0

2' 2 Bottom C6 -13.1 91.1 3.6 C8 -6.5 56.4 2.42' 1 Top C1 -49.2 27.8 0.0 C1 -49.2 27.8 0.02' 1 Bottom C1 -48.9 2.9 0.0 C1 -48.9 2.9 0.02' -1 Top C1 -60.5 17.8 0.0 C1 -60.5 17.8 0.02' -1 Bottom C1 -60.3 5.7 0.0 C1 -60.3 5.7 0.0

3/F 3 Top C2 -2.9 2 0.5 C4 -2.9 1.4 0.33/F 3 Bottom C1 -3.3 0.4 0.0 C1 -3.3 0.4 0.03/F 2 Top C6 -4.2 1.5 0.1 C1 -12.5 1.3 0.03/F 2 Bottom C1 -12.5 1.2 0.0 C1 -12.5 1.2 0.03/F 1 Top C6 -6.6 5.3 1.9 C8 -9.2 3.9 0.83/F 1 Bottom C6 -6.6 4.6 1.5 C8 -9.2 3.4 0.4

3/G 1 Top C2 -5.5 2.5 0.8 C4 -7.3 2.9 0.83/G 1 Bottom C2 -6.6 3.4 1.2 C4 -7.8 3.6 1.33/G-F -1 Top C1 -68.5 26.5 0.0 C1 -68.5 26.5 0.03/G-F -1 Bottom C1 -85.5 4.3 0.0 C1 -85.5 4.3 0.0

3/G-F+ 3 Top C2 -9.7 37.7 1.1 C4 -10.9 33.3 0.63/G-F+ 3 Bottom C2 -0.1 49.4 3.0 C4 -1.3 45.8 2.73/G-F+ 2 Top C1 -26 10.1 0.0 C1 -26 10.1 0.03/G-F+ 2 Bottom C2 -9.4 74.2 3.5 C4 -9.4 61 2.66/E-D 3 Top C1 -9.6 6.1 0.0 C8 -3.2 8.7 0.26/E-D 3 Bottom C6 -3.8 7.4 0.0 C8 -3.2 10 0.36/E-D 2 Top C2 -6.6 37.1 1.7 C4 -7.3 41.3 1.96/E-D 2 Bottom C2 -6.6 55 3.1 C4 -7.3 57.3 3.16/F+ 3 Top C1 -29.8 1.1 0.0 C1 -29.8 1.1 0.06/F+ 3 Bottom C1 -29.8 6.6 0.0 C1 -29.8 6.6 0.0


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6/F+ 2 Top C1 -84.1 23.4 0.0 C1 -84.1 23.4 0.06/F+ 2 Bottom C1 -84.1 39.5 0.0 C1 -84.1 39.5 0.0

6/G-D 3 Top C1 -53.6 47.5 0.0 C1 -53.6 47.5 0.06/G-D 3 Bottom C1 -53.6 39.5 0.0 C1 -53.6 39.5 0.06/G-D 2 Top C1 -93.4 110.2 0.0 C1 -93.4 110.2 0.0

6/G-D 2 Bottom C1 -109 221.3 0.0 C1 -109 221.3 0.06/G-D 1 Top C1 -117 319.6 0.0 C8 -29.3 206.1 0.76/G-D 1 Bottom C1 -117 320.4 0.0 C8 -29.3 243.9 1.66/G-F 1 Top C1 -109 43.7 0.0 C1 -109 43.7 0.06/G-F 1 Bottom C1 -109 43.3 0.0 C8 -33.8 121.3 1.06/G-F -1 Top C1 -111 38.1 0.0 C1 -111 38.1 0.06/G-F -1 Bottom C6 -33 103.7 0.3 C8 -26.4 112 1.6

6/G-F+ 1 Top C1 -69.6 53.7 0.0 C8 -12.7 42.5 1.46/G-F+ 1 Bottom C6 -22.3 61.5 1.6 C8 -12.7 65.1 3.1

D/6 3 Top C1 -16.5 15.1 0.0 C1 -16.5 15.1 0.0D/6 3 Bottom C1 -16.5 3.3 0.0 C1 -16.5 3.3 0.0D/6 2 Top C1 -53.8 38.1 0.0 C1 -53.8 38.1 0.0D/6 2 Bottom C6 -21.8 40.3 1.0 C8 -17.1 46.5 2.2F/1 3 Top C6 -1.7 1.5 0.4 C8 -1.9 1.2 0.2F/1 3 Bottom C6 -1.7 1.3 0.3 C8 -1.9 1.2 0.2F/1 2 Top C6 -1.6 4.2 1.5 C8 -2 3.9 1.3F/1 2 Bottom C6 -1.6 4.7 1.7 C8 -2 4.4 1.6F/1 1 Top C2 -4.3 7.4 2.7 C4 -5.3 7.1 2.5F/1 1 Bottom C6 -0.9 6.4 2.6 C8 -1.9 6 2.3F/1' 3 Top C2 -3.2 3.8 0.9 C4 -3.1 3.6 0.9F/1' 3 Bottom C2 -3.2 3.8 0.9 C4 -3.1 3.6 0.9F/1' 2 Top C6 -3.4 4.9 1.3 C8 -3.5 4.8 1.2F/1' 2 Bottom C6 -3.4 5.4 1.5 C8 -3.5 5 1.3F/1' 1 Top C6 -2.2 3.5 0.9 C8 -4.6 4.6 1.0F/1' 1 Bottom C6 -2.2 3.8 1.0 C8 -4.6 4.9 1.2

F/1-3 -1 Top C6 1.8 32.7 1.6 C1 -66.4 4.9 0.0F/1-3 -1 Bottom C6 3.4 30.3 1.7 C1 -79 5.5 0.0F/2 3 Top C2 -2 8.8 3.1 C4 -2.8 8.7 2.9F/2 3 Bottom C2 -2 8.5 2.9 C4 -2.8 8.4 2.8F/2 2 Top C6 -0.7 5.1 1.7 C8 -2.3 5.2 1.6F/2 2 Bottom C6 -0.7 5.5 1.9 C8 -2.3 5.3 1.6F/2 1 Top C6 -0.9 2.7 0.8 C8 -3.6 4.4 1.1F/2 1 Bottom C6 -0.9 2.9 0.9 C8 -3.6 4.7 1.2F/3 3 Top C2 -1.4 4.3 3.4 C4 -2.4 4.2 3.2

F/3 3 Bottom C2 -1.4 4.5 3.5 C4 -2.4 4.3 3.3F/3 2 Top C2 -6.9 5 3.6 C4 -7.7 5 3.5F/3 2 Bottom C2 -6.9 4.9 3.4 C4 -7.7 4.9 3.4F/3 1 Top C2 -15.1 4.2 1.9 C4 -17.1 4.9 2.4F/3 1 Bottom C2 -15.1 4.1 1.7 C4 -17.1 4.6 2.1F/4 3 Top C1 -41.1 4.8 0.0 C1 -41.1 4.8 0.0F/4 3 Bottom C1 -41.1 11.9 0.0 C1 -41.1 11.9 0.0F/4 2 Top C1 -101 2.1 0.0 C1 -101 2.1 0.0F/4 2 Bottom C1 -101 2 0.0 C1 -101 2 0.0F/4 1 Top C1 -134 11.3 0.0 C1 -134 11.3 0.0F/4 1 Bottom C1 -134 2.2 0.0 C1 -134 2.2 0.0

F/4 -1 Top C1 -136 2.2 0.0 C1 -136 2.2 0.0F/4 -1 Bottom C1 -136 7.6 0.0 C1 -136 7.6 0.0


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F/6 1 Top C6 -11.8 18.3 0.1 C8 -8.4 27.1 1.4F/6 1 Bottom C1 -75.9 3.6 0.0 C1 -75.9 3.6 0.0F/6 -1 Top C1 -82.8 6.9 0.0 C1 -82.8 6.9 0.0F/6 -1 Bottom C1 -82.8 5.5 0.0 C8 -18.2 33.8 0.8F1 3 Top C2 1 2.2 1.4 C4 0.8 2.2 1.4

F1 3 Bottom C2 1 2.4 1.5 C4 0.8 2.2 1.4F1 2 Top C2 4.2 1.8 1.6 C4 1.5 1.7 1.1F1 2 Bottom C2 4.2 2 1.7 C4 1.5 1.8 1.2F1 1 Top C6 7 26.5 4.2 C8 -1.2 23.7 2.7F1 1 Bottom C6 7 9.6 2.1 C8 -1.2 11 1.2F1 -1 Top C6 -2.3 1.2 0.4 C1 -23.1 0.9 0.0F1 -1 Bottom C6 -2.3 1.2 0.4 C1 -23.1 0.9 0.0F2 3 Top C2 1.3 9.9 3.0 C4 1 9.8 3.0F2 3 Bottom C2 1.3 10.5 3.2 C4 1 10.2 3.1F2 2 Top C2 3.6 5.9 2.1 C4 2.8 5.7 2.0F2 2 Bottom C2 3.6 6.4 2.3 C4 2.8 6 2.0F3 3 Top C2 0.1 1 0.6 C4 0 1 0.5F3 3 Bottom C2 0.1 1 0.6 C4 0 1.1 0.6F3 2 Top C6 0.8 0.4 0.3 C8 0 0.5 0.3F3 2 Bottom C6 0.8 0.5 0.4 C8 0 0.5 0.3F3 1 Top C6 -0.8 0.4 0.1 C1 -10.4 0.3 0.0F3 1 Bottom C6 -0.8 0.4 0.1 C1 -10.4 0.3 0.0F3 -1 Top C6 0.5 0.9 0.6 C8 -2 0.9 0.2F3 -1 Bottom C6 0.5 0.9 0.6 C8 -2 0.9 0.2G/2 3 Top C2 -1.8 5.6 1.4 C4 -2.4 5.3 1.2G/2 3 Bottom C2 -1.8 5.5 1.4 C4 -2.4 5 1.2G/2 2 Top C6 2.3 3.4 1.3 C8 -0.3 5.1 1.5G/2 2 Bottom C6 2.3 3.2 1.2 C8 -0.3 4.9 1.4

G/2-1 1 Top C6 16.4 30.6 4.0 C8 5.1 30.9 2.5G/2-1 1 Bottom C6 16.4 17.2 3.2 C8 5.1 20 1.9G/3 3 Top C2 -3.4 7.7 1.1 C4 -3.9 8.8 1.3G/3 3 Bottom C2 -3.4 7 1.0 C4 -3.9 8.3 1.2G/3 2 Top C6 -0.9 4.9 0.9 C8 -4.2 8 1.1G/3 2 Bottom C6 -0.9 4.6 0.8 C8 -4.2 8.1 1.1G/3 1 Top C1 -41.6 3.1 0.0 C1 -41.6 3.1 0.0G/3 1 Bottom C1 -41.6 4.5 0.0 C1 -41.6 4.5 0.0

G/3+ 3 Top C6 -2 1.5 0.9 C8 -2.6 2.9 2.0G/3+ 3 Bottom C6 -2 1.5 0.9 C8 -2.6 2.9 2.0G/3+ 2 Top C6 -5 2.5 1.3 C8 -6 4.5 3.1

G/3+ 2 Bottom C6 -5 2.6 1.4 C8 -6 4.6 3.2G/3+ 1 Top C6 -10.7 2.3 0.3 C8 -11.4 3.7 1.7G/3+ 1 Bottom C6 -10.7 2.3 0.3 C8 -11.4 3.7 1.7G/3-1 -1 Top C6 27.7 53.1 6.0 C8 3.3 40.6 2.2G/3-1 -1 Bottom C6 27.7 25.9 4.8 C8 3.3 40.9 2.3G/4 3 Top C2 -4.9 6 4.7 C4 -4.6 7 5.6G/4 3 Bottom C2 -4.9 6 4.7 C4 -4.6 7 5.6G/4 2 Top C2 -11.1 6.3 4.5 C4 -11.3 7.7 6.0G/4 2 Bottom C2 -11.1 6.2 4.4 C4 -11.3 7.6 5.9G/4 1 Top C6 -9.3 2.7 1.0 C8 -10 3.9 2.2G/4 1 Bottom C6 -9.3 2.5 0.8 C8 -10 3.9 2.2

G/4- 3 Top C2 -5.3 3.5 2.2 C4 -5.6 4.9 3.5G/4- 3 Bottom C2 -5.3 3.5 2.2 C4 -5.6 4.9 3.5


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G/4- 2 Top C2 -14.8 4.2 1.9 C4 -15.4 6 3.9G/4- 2 Bottom C2 -14.8 4.2 1.9 C4 -15.4 6 3.9G/4- 1 Top C6 -12.5 2.4 0.2 C8 -13.6 3.9 1.7G/4- 1 Bottom C6 -12.5 2.3 0.1 C8 -13.6 3.7 1.5G/6 3 Top C6 -5.3 12.1 0.4 C8 -4.3 13.3 0.7

G/6 3 Bottom C1 -12.4 9 0.0 C1 -12.4 9 0.0G/6 2 Top C1 -33 14.9 0.0 C8 -8.5 13.8 0.1G/6 2 Bottom C1 -33 13.8 0.0 C8 -8.5 15.6 0.3G/6 1 Top C6 -5.2 12.2 0.4 C8 0.2 12.5 1.2G/6 1 Bottom C6 -5.2 14.8 0.7 C8 0.2 17.3 1.6

G/6-3 1 Top C1 -153 78.8 0.0 C1 -153 78.8 0.0G/6-3 1 Bottom C1 -153 59.4 0.0 C1 -153 59.4 0.0G/6-3 -1 Top C1 -155 10.2 0.0 C1 -155 10.2 0.0G/6-3 -1 Bottom C1 -155 26.5 0.0 C1 -155 26.5 0.0

3. Armaduras con cruces compatibilizados en mdulo izquierdo

Piso Pier e L Cruce 1 Cruce 2 As1 As2

(cm) (cm) (cm2) (cm2)

1 1 20 600 G/2-1 F/1 9.3 8.0

-1 1 20 600 G/3-1 F/1-3 11.1 5.1

3 2 20 60 F/2 3.2 0.1

2 2 20 60 F/2 3.1 1.2

1 2 20 60 F/2 1.5 0.6

-1 2 20 60 0.3 0.3

3 1' 25 250 0.2 0.2

2 1' 25 250 0.0 0.0

1 1' 25 250 F1 0.0 0.0

-1 1' 25 250 0.0 0.0

3 2' 20 470 F1 1.8 1.8

2 2' 20 470 F1 3.6 3.6

1 2' 20 360 F3 0.0 0.0

-1 2' 20 360 F3 0.0 0.0


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3 3/F 20 60 F/3 4.0 0.5

2 3/F 20 60 F/3 3.7 0.1

1 3/F 20 60 F/3 3.8 1.9

1 3/G 20 50 G/3 1.3 1.3

-1 3/G-F 20 710 0.0 0.0

3 3/G-F+ 20 435 F2 3.0 3.0

2 3/G-F+ 20 435 F2 3.5 3.5

3 6/E-D 20 385 D/6 0.3 0.3

2 6/E-D 20 385 D/6 3.1 3.1

3 6/F+ 20 370 0.0 0.0

2 6/F+ 20 370 0.0 0.0

3 6/G-D 20 1200 G/6 D/6 0.7 0.0

2 6/G-D 20 1200 G/6 D/6 0.3 0.0

1 6/G-D 20 1200 G/6-3 1.6 1.6

1 6/G-F 20 600 G/6-3 F/6 1.0 1.0

-1 6/G-F 20 600 G/6-3 F/6 1.6 1.6

1 6/G-F+ 20 375 G/6 4.7 3.1

3 D/6 20 290 6/E-D 0.3 0.0

2 D/6 20 290 6/E-D 5.3 2.2

3 F/1 20 70 0.4 0.4

2 F/1 20 70 1.7 1.7


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1 F/1 20 70 1 2.7 2.7

3 F/1' 20 80 0.9 0.9

2 F/1' 20 80 1.5 1.51 F/1' 20 80 1.2 1.2

-1 F/1-3 20 640 1 1.7 1.7

3 F/2 20 80 2 3.2 3.1

2 F/2 20 80 2 3.1 1.9

1 F/2 20 80 2 1.5 1.2

3 F/3 20 40 3/F 3.5 3.5

2 F/3 20 40 3/F 3.6 3.6

1 F/3 20 40 3/F 2.4 2.4

3 F/4 20 190 0.0 0.0

2 F/4 20 190 0.0 0.0

1 F/4 20 190 0.0 0.0

-1 F/4 20 190 0.0 0.0

1 F/6 20 290 6/G-F 2.4 1.4

-1 F/6 20 290 6/G-F 2.4 0.8

3 F1 20 50 2' 1.5 1.5

2 F1 20 50 2' 1.7 1.7

1 F1 20 225 1' 4.2 4.2

-1 F1 20 50 0.4 0.4

3 F2 20 100 3/G-F+ 3.2 3.2

2 F2 20 100 3/G-F+ 2.3 2.3


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3 F3 20 50 0.6 0.6

2 F3 20 50 0.4 0.4

1 F3 20 50 2' 0.1 0.1

-1 F3 20 50 2' 0.6 0.6

3 G/2 20 95 1.4 1.4

2 G/2 20 95 1.5 1.5

1 G/2-1 20 445 1 4.0 4.0

3 G/3 20 135 1.3 1.3

2 G/3 20 135 1.1 1.1

1 G/3 20 135 0.0 0.0

3 G/3+ 20 40 2.0 2.0

2 G/3+ 20 40 3.2 3.2

1 G/3+ 20 40 1.7 1.7

-1 G/3-1 20 600 3/G-F 1 6.0 6.0

3 G/4 20 40 5.6 5.6

2 G/4 20 40 6.0 6.0

1 G/4 20 40 2.2 2.2

3 G/4- 20 40 3.5 3.5

2 G/4- 20 40 3.9 3.9

1 G/4- 20 40 1.7 1.7

3 G/6 20 290 6/G-D 0.7 0.7

2 G/6 20 290 6/G-D 0.3 0.3

1 G/6 20 290 6/G-F+ 4.7 1.6


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1 G/6-3 20 1470 6/G-F+ 3/G 3.1 0.0

-1 G/6-3 20 1470 6/G-F G/3-1 1.6 0.0

4. Armaduras simtricas mdulo derecho (Pu y Muen T-m; Asen cm2)

As = As' Sismo X As = As' Sismo Y

Pier Piso Loc Combo Pu Mu As Combo Pu Mu As

1/A 3 Top C6 -2.5 3.9 0.5 C8 -1.9 2.2 0.21/A 3 Bottom C6 -2.5 4.3 0.5 C8 -1.9 2.2 0.21/A 2 Top C6 -3.9 13 2.2 C8 -2.5 6.7 1.01/A 2 Bottom C6 -5.6 13.2 2.0 C8 -1.7 7 1.21/A 1 Top C6 -6.5 9.2 1.0 C8 -4.6 4 0.21/A 1 Bottom C6 -2.3 12.3 2.2 C8 2.6 5.4 1.4

1/B 3 Top C6 -2.3 4.5 0.6 C8 -2.9 2.8 0.21/B 3 Bottom C6 -2.3 4.8 0.7 C8 -2.9 2.7 0.21/B 2 Top C1 -22.2 2.2 0.0 C1 -22.2 2.2 0.01/B 2 Bottom C1 -22.2 1.6 0.0 C1 -22.2 1.6 0.01/B 1 Top C6 -9.3 7.9 0.4 C1 -39.4 3.5 0.01/B 1 Bottom C6 -9.3 11.7 1.2 C8 -7.9 5.4 0.01/D 3 Top C2 -6.7 6.4 0.4 C4 -5.9 6 0.41/D 3 Bottom C6 -3.8 3.5 0.2 C8 -3 2.7 0.11/D 2 Top C6 -6.4 5.8 0.3 C8 -2.7 3.6 0.41/D 2 Bottom C1 -18.2 2.5 0.0 C8 -2.7 3.1 0.31/D 1 Top C6 -6.3 7.9 0.8 C8 -0.1 4.6 0.91/D 1 Bottom C6 -6.3 18.6 3.2 C8 -0.1 10.1 2.0

1/D-B 1 Top C1 -102 88.7 0.0 C8 -6.2 59.3 0.71/D-B 1 Bottom C6 -17.4 104.8 0.4 C8 -6.2 66.1 0.92/C 3 Top C6 -10.8 43.2 0.3 C1 -21 10.9 0.02/C 3 Bottom C1 -21 16.4 0.0 C1 -21 16.4 0.02/C 2 Top C1 -46.3 14.9 0.0 C1 -46.3 14.9 0.02/C 2 Bottom C6 -21.9 78 0.3 C1 -46.3 38.8 0.02/C 1 Top C6 -33.1 33.4 0.4 C1 -73.9 10.5 0.02/C 1 Bottom C6 -33.1 44.8 2.3 C1 -73.9 10.7 0.02/D 3 Top C6 2.5 2.3 1.4 C8 0.6 1.8 0.92/D 3 Bottom C2 2.5 3.1 1.8 C4 2.2 2.5 1.52/D 2 Top C6 2.7 2.9 1.7 C8 -1.5 2.2 0.82/D 2 Bottom C2 0.6 4.5 2.3 C4 3.6 3.5 2.22/D 1 Top C6 5 2.1 1.6 C8 -1.9 1.4 0.42/D 1 Bottom C6 4.7 1.9 1.5 C8 6.1 1.5 1.53/C 3 Top C1 -4 1.5 0.0 C8 -0.8 2.1 0.23/C 3 Bottom C1 -17.8 0.9 0.0 C1 -17.8 0.9 0.03/C 2 Top C1 -28 5.2 0.0 C1 -28 5.2 0.03/C 2 Bottom C1 -43.6 26.5 0.0 C1 -43.6 26.5 0.03/C 1 Top C6 -29.1 32.5 0.8 C1 -68 37.1 0.03/C 1 Bottom C6 -29.1 40.4 2.1 C1 -68 24.9 0.03/D 3 Top C1 -2.8 1.2 0.2 C1 -2.8 1.2 0.23/D 3 Bottom C1 -2.8 1 0.1 C1 -2.8 1 0.1

3/D 2 Top C1 -7.3 0.8 0.0 C1 -7.3 0.8 0.03/D 2 Bottom C1 -7.3 0.9 0.0 C1 -7.3 0.9 0.0


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3/D 1 Top C6 -4 6.8 3.0 C8 -5.6 3 0.73/D 1 Bottom C6 -4 7.1 3.2 C8 -5.6 3.2 0.8

5/A-B 3 Top C1 -24.2 8.5 0.0 C1 -24.2 8.5 0.05/A-B 3 Bottom C1 -24.2 7.1 0.0 C1 -24.2 7.1 0.05/A-B 2 Top C1 -68.7 18.1 0.0 C1 -68.7 18.1 0.0

5/A-B 2 Bottom C1 -68.7 14.8 0.0 C1 -68.7 14.8 0.05/A-B 1 Top C1 -110 37.1 0.0 C1 -110 37.1 0.05/A-B 1 Bottom C1 -110 30.3 0.0 C8 -28.7 84.8 0.05/A-C 1 Top C1 -117 52.5 0.0 C1 -117 52.5 0.05/A-C 1 Bottom C1 -117 62.7 0.0 C8 -30.8 142.3 0.6A/2-1 3 Top C1 -19.8 12.3 0.0 C1 -19.8 12.3 0.0A/2-1 3 Bottom C1 -19.8 1.8 0.0 C1 -19.8 1.8 0.0A/2-1 2 Top C1 -60.2 16.4 0.0 C1 -60.2 16.4 0.0A/2-1 2 Bottom C1 -60.2 2.3 0.0 C1 -60.2 2.3 0.0A/2-1 1 Top C1 -90.9 29 0.0 C1 -90.9 29 0.0A/2-1 1 Bottom C1 -90.9 28 0.0 C1 -90.9 28 0.0A/3 3 Top C2 -10.6 5.2 0.5 C4 -9.8 6.4 1.1A/3 3 Bottom C2 -10.6 4.6 0.2 C4 -9.8 6.2 1.0A/3 2 Top C1 -26.1 3 0.0 C8 -8.7 4.9 0.6A/3 2 Bottom C1 -26.1 2.7 0.0 C8 -8.7 4.7 0.5A/3 1 Top C1 -50.8 2 0.0 C1 -50.8 2 0.0A/3 1 Bottom C1 -50.8 1.3 0.0 C8 -15.2 5.9 0.1A/5 3 Top C1 -22.8 14.6 0.0 C1 -22.8 14.6 0.0A/5 3 Bottom C1 -22.8 12.7 0.0 C1 -22.8 12.7 0.0A/5 2 Top C1 -60.6 13.6 0.0 C1 -60.6 13.6 0.0A/5 2 Bottom C1 -60.6 7.3 0.0 C1 -60.6 7.3 0.0A/5 1 Top C1 -102 22.8 0.0 C1 -102 22.8 0.0A/5 1 Bottom C1 -102 17.4 0.0 C1 -102 17.4 0.0

A/5-1 1 Top C1 -266 102.2 0.0 C1 -266 102.2 0.0A/5-1 1 Bottom C1 -266 99.1 0.0 C1 -266 99.1 0.0B/1-2 3 Top C6 -12.2 25.3 0.1 C1 -36 36.4 0.0B/1-2 3 Bottom C1 -32.4 20.8 0.0 C1 -32.4 20.8 0.0B/1-2 2 Top C1 -92.2 39.9 0.0 C1 -92.2 39.9 0.0B/1-2 2 Bottom C1 -91.1 5.2 0.0 C1 -91.1 5.2 0.0B/1-2 1 Top C1 -121 9.8 0.0 C1 -121 9.8 0.0B/1-2 1 Bottom C1 -117 3.5 0.0 C1 -117 3.5 0.0C/3 3 Top C2 -7 5.3 1.0 C4 -7 6.9 1.6C/3 3 Bottom C2 -7 4.1 0.5 C4 -7 5.5 1.1C/3 2 Top C2 -4.9 8 2.4 C4 -4.2 10.9 3.7

C/3 2 Bottom C2 -4.9 7.4 2.1 C4 -4.2 10.2 3.4C/3 1 Top C6 -10.2 4.2 0.1 C8 -12.5 7.5 1.2C/3 1 Bottom C6 -10.2 4.4 0.2 C8 -12.5 8.2 1.5C/5 1 Top C1 -108 63 0.0 C1 -108 63 0.0C/5 1 Bottom C1 -108 42.5 0.0 C8 -36.6 92.6 0.4C/5- 3 Top C1 -26.1 11.4 0.0 C1 -26.1 11.4 0.0C/5- 3 Bottom C1 -26.1 8.7 0.0 C1 -26.1 8.7 0.0C/5- 2 Top C1 -69.4 6 0.0 C1 -69.4 6 0.0C/5- 2 Bottom C1 -69.4 9.7 0.0 C1 -69.4 9.7 0.0C/5- 1 Top C1 -107 4.8 0.0 C1 -107 4.8 0.0C/5- 1 Bottom C1 -107 10.9 0.0 C1 -107 10.9 0.0

D/1 3 Top C6 0 0.5 0.2 C8 -0.4 0.7 0.3D/1 3 Bottom C2 -1 1 0.3 C4 -1.4 1.3 0.4


11/20

D/1 2 Top C1 -9 0.2 0.0 C8 -2.4 1.4 0.3D/1 2 Bottom C6 -3.8 1.2 0.1 C8 -2.4 1.7 0.5D/1 1 Top C6 0 3.6 1.7 C8 -0.1 2.9 1.3D/1 1 Bottom C6 0 3.3 1.6 C8 -0.1 2.6 1.2

D/1+ 3 Top C6 -1.1 0.3 0.0 C8 -1.4 0.7 0.2

D/1+ 3 Bottom C6 -1.1 0.3 0.0 C8 -1.4 0.7 0.2D/1+ 2 Top C6 -3.3 1.1 0.2 C8 -3.8 1.6 0.4D/1+ 2 Bottom C6 -3.3 1.1 0.2 C8 -3.8 1.8 0.5D/1+ 1 Top C6 -1.9 2.7 1.3 C8 -4.6 2.8 1.1D/1+ 1 Bottom C6 -1.9 2.8 1.4 C8 -4.6 3.1 1.3D/2 3 Top C6 -0.7 1.3 0.3 C8 -1.5 1.2 0.1D/2 3 Bottom C6 -0.7 1.5 0.4 C8 -1.5 1.3 0.2D/2 2 Top C6 0.4 1 0.3 C8 -2.3 2 0.3D/2 2 Bottom C6 0.4 1.8 0.6 C8 -2.3 2.8 0.5D/2 1 Top C6 5.5 1.8 1.3 C8 1.8 2.9 1.1D/2 1 Bottom C6 5.5 2.4 1.4 C8 1.8 4.1 1.5D/2- 3 Top C6 -1 0.4 0.1 C8 -1.5 0.6 0.1D/2- 3 Bottom C6 -1 0.4 0.1 C8 -1.5 0.6 0.1D/2- 2 Top C6 -1.2 0.9 0.3 C8 -3.5 1.6 0.5D/2- 2 Bottom C6 -1.2 0.9 0.3 C8 -3.5 1.8 0.5D/2- 1 Top C6 0.9 2.4 1.5 C8 -3.9 2.8 1.2D/2- 1 Bottom C6 0.9 2.5 1.6 C8 -3.9 3.1 1.4D/2-1 1 Top C6 6.9 13.2 1.8 C1 -67.1 2.6 0.0D/2-1 1 Bottom C6 6.9 46.6 4.1 C8 -19.8 61.6 1.6

5. Armaduras con cruces compatibilizados en mdulo derecho

PisoPier e L Cruce 1 Cruce 2 As1 As2

(cm) (cm) (cm2) (cm2)

2 1/A 20 135 A/2-1 2.2 2.2

1 1/A 20 135 A/5-1 2.2 2.2

3 1/B 20 135 B/1-2 0.8 0.72 1/B 20 135 B/1-2 0.0 0.0

1 1/B 20 135 B/1-2 1.2 1.2

3 1/D 20 135 D/1 0.8 0.4

2 1/D 20 135 D/1 0.9 0.4

1 1/D 20 135 D/2-1 7.3 3.2

1 1/D-B 20 1035 D/2-1 4.5 0.9


12/20

3 2/C 20 660 0.3 0.3

2 2/C 20 660 0.3 0.3

1 2/C 20 200 2.3 2.3

3 2/D 20 60 D/2 2.2 1.8

2 2/D 20 60 D/2 2.9 2.3

1 2/D 20 60 D/2-1 5.7 1.6

3 3/C 20 200 C/3 0.2 1.8

2 3/C 20 200 C/3 0.0 3.7

1 3/C 20 200 C/3 2.1 2.3

3 3/D 20 60 0.2 0.2

2 3/D 20 60 0.0 0.0

1 3/D 20 60 3.2 3.2

3 5/A-B 20 600 0.0 0.0

2 5/A-B 20 600 0.0 0.0

1 5/A-B 20 600 A/5-1 0.0 0.0

1 5/A-C 20 815 C/5 A/5-1 1.0 0.6

3 A/2-1 20 400 1/A 0.0 0.5

2 A/2-1 20 400 1/A 0.0 2.2

1 A/2-1 20 400 1/A 0.0 2.2

3 A/3 20 80 1.1 1.1

2 A/3 20 80 0.6 0.6

1 A/3 20 80 0.1 0.1

3 A/5 20 360 0.0 0.0


13/20

2 A/5 20 360 0.0 0.0

1 A/5 20 360 0.0 0.0

1 A/5-1 20 1800 5/A-C 1/A 0.6 2.2

3 B/1-2 20 400 1/B 0.1 0.8

2 B/1-2 20 400 1/B 0.0 0.0

1 B/1-2 20 400 1/B 0.0 1.2

3 C/3 20 80 3/C 1.6 1.8

2 C/3 20 80 3/C 3.7 3.7

1 C/3 20 80 3/C 1.5 2.3

1 C/5 20 480 5/A-C 1.0 0.4

3 C/5- 20 360 0.0 0.0

2 C/5- 20 360 0.0 0.0

1 C/5- 20 360 0.0 0.0

3 D/1 20 60 1/D 0.4 0.8

2 D/1 20 60 1/D 0.5 0.9

1 D/1 20 60 1/D 1.7 4.9

3 D/1+ 20 50 0.2 0.2

2 D/1+ 20 50 0.5 0.5

1 D/1+ 20 50 1.4 1.4


14/20

6. Armadura de corte mdulo izquierdo

PisoPier e L Vu vu Av hor Av vert

(cm) (cm) (T) (kg/cm2)(cm

2/m)(cm

2/m)

1 1 20 600 58.8 6.1 5.0 5.0

-1 1 20 600 26.2 2.7 4.0 2.4

3 2 20 60 0.1 0.1 4.0 2.4

2 2 20 60 1.4 1.5 4.0 2.4

1 2 20 60 0.7 0.7 4.0 2.4

-1 2 20 60 0.4 0.4 4.0 2.4

3 1' 25 250 21.7 4.3 6.3 6.2

2 1' 25 250 28.7 5.7 6.3 6.2

1 1' 25 250 3.2 0.6 5.0 3.0

-1 1' 25 250 5.3 1.1 5.0 3.0

3 2' 20 470 11.2 1.5 4.0 2.4

2 2' 20 470 27.9 3.7 4.0 2.4

1 2' 20 360 13.6 2.4 4.0 2.4

-1 2' 20 360 6.2 1.1 4.0 2.4

3 3/F 20 60 1.7 1.8 4.0 2.4

2 3/F 20 60 2.2 2.3 4.0 2.4

1 3/F 20 60 4.6 4.8 5.0 5.0

1 3/G 20 50 1.4 1.8 4.0 2.4


15/20

-1 3/G-F 20 710 13.7 1.2 4.0 2.4

3 3/G-F+ 20 435 27.7 4.0 5.0 5.0

2 3/G-F+ 20 435 28.8 4.1 5.0 5.0

3 6/E-D 20 385 9.4 1.5 4.0 2.4

2 6/E-D 20 385 32.2 5.2 5.0 5.0

3 6/F+ 20 370 14.1 2.4 4.0 2.4

2 6/F+ 20 370 29.4 5.0 5.0 5.0

3 6/G-D 20 1200 26.6 1.4 4.0 2.4

2 6/G-D 20 1200 35.4 1.8 4.0 2.4

1 6/G-D 20 1200 48.0 2.5 4.0 2.4

1 6/G-F 20 600 48.0 5.0 5.0 5.0

-1 6/G-F 20 600 47.6 5.0 5.0 5.0

1 6/G-F+ 20 375 46.3 7.7 5.0 5.0

3 D/6 20 290 14.3 3.1 4.0 2.4

2 D/6 20 290 25.1 5.4 5.0 5.0

3 F/1 20 70 1.0 0.9 4.0 2.4

2 F/1 20 70 2.8 2.5 4.0 2.4

1 F/1 20 70 3.9 3.5 4.0 2.4

3 F/1' 20 80 2.2 1.8 4.0 2.4

2 F/1' 20 80 2.9 2.3 4.0 2.4

1 F/1' 20 80 2.8 2.2 4.0 2.4


16/20

-1 F/1-3 20 640 22.0 2.1 4.0 2.4

3 F/2 20 80 5.0 3.9 5.0 5.0

2 F/2 20 80 3.4 2.6 4.0 2.41 F/2 20 80 2.8 2.2 4.0 2.4

3 F/3 20 40 7.6 11.8 5.0 5.0

2 F/3 20 40 7.4 11.6 5.0 5.0

1 F/3 20 40 3.9 6.1 5.0 5.0

3 F/4 20 190 15.4 5.1 5.0 5.0

2 F/4 20 190 7.3 2.4 4.0 2.4

1 F/4 20 190 10.4 3.4 4.0 2.4

-1 F/4 20 190 10.4 3.4 4.0 2.4

1 F/6 20 290 29.4 6.3 5.0 5.0

-1 F/6 20 290 28.7 6.2 5.0 5.0

3 F1 20 50 1.3 1.6 4.0 2.4

2 F1 20 50 0.8 1.1 4.0 3.0

1 F1 20 225 12.5 3.5 4.0 2.4

-1 F1 20 50 0.7 0.9 4.0 2.4

3 F2 20 100 6.0 3.8 5.0 5.0

2 F2 20 100 3.5 2.2 4.0 2.4

3 F3 20 50 0.7 0.9 4.0 2.4

2 F3 20 50 0.3 0.4 4.0 2.4

1 F3 20 50 0.4 0.5 4.0 2.4

-1 F3 20 50 1.0 1.2 4.0 2.4

3 G/2 20 95 8.8 5.8 5.0 5.02 G/2 20 95 9.5 6.3 5.0 5.0


17/20

1 G/2-1 20 445 28.7 4.0 5.0 5.0

3 G/3 20 135 14.1 6.5 5.0 5.0

2 G/3 20 135 14.3 6.6 5.0 5.0

1 G/3 20 135 9.2 4.3 5.0 5.0

3 G/3+ 20 40 5.2 8.1 5.0 5.0

2 G/3+ 20 40 7.3 11.4 5.0 5.0

1 G/3+ 20 40 7.4 11.6 5.0 5.0

-1 G/3-1 20 600 26.7 2.8 4.0 2.4

3 G/4 20 40 11.6 18.2 9.6 5.0

2 G/4 20 40 11.2 17.5 5.4 5.0

1 G/4 20 40 8.1 12.7 5.0 5.0

3 G/4- 20 40 8.1 12.7 5.7 5.0

2 G/4- 20 40 9.1 14.2 5.0 5.0

1 G/4- 20 40 7.6 11.8 5.0 5.0

3 G/6 20 290 25.3 5.5 5.0 5.0

2 G/6 20 290 31.5 6.8 5.0 5.0

1 G/6 20 290 19.5 4.2 5.0 5.0

1 G/6-3 20 1470 53.1 2.3 4.0 2.4

-1 G/6-3 20 1470 55.3 2.4 4.0 2.4

1 P4E 25 45 0.0 5.0 3.0

-1 P4E 25 45 0.0 5.0 3.0

1 PD 25 45 0.0 5.0 3.0


18/20

-1 PD 25 45 0.0 5.0 3.0

1 PE 25 45 0.0 5.0 3.0

-1 PE 25 45 0.0 5.0 3.0

7. Armadura de corte mdulo derecho

Piso Pier e L Vu vu Av hor Av vert

(cm) (cm) (T) (kg/cm2)(cm

2/m)(cm

2/m)

3 1/A 20 135 5.9 2.7 4.0 2.4

2 1/A 20 135 14.0 6.5 5.0 5.0

1 1/A 20 135 4.5 2.1 4.0 2.4

3 1/B 20 135 11.3 5.3 5.0 5.0

2 1/B 20 135 12.9 6.0 5.0 5.0

1 1/B 20 135 15.1 7.0 5.0 5.0

3 1/D 20 135 9.5 4.4 5.0 5.0

2 1/D 20 135 10.5 4.9 5.0 5.0

1 1/D 20 135 19.3 8.9 5.0 5.0

1 1/D-B 20 1035 15.4 0.9 4.0 2.4

3 2/C 20 660 7.7 0.7 4.0 2.4

2 2/C 20 660 22.1 2.1 4.0 2.4

1 2/C 20 200 20.0 6.3 5.0 5.0

3 2/D 20 60 2.2 2.3 4.0 2.42 2/D 20 60 3.2 3.4 4.0 2.4


19/20

1 2/D 20 60 1.8 1.9 4.0 2.6

3 3/C 20 200 1.8 0.6 4.0 2.4

2 3/C 20 200 13.9 4.3 4.0 2.41 3/C 20 200 24.1 7.5 5.0 5.0

3 3/D 20 60 0.6 0.6 4.0 2.4

2 3/D 20 60 0.6 0.6 4.0 2.4

1 3/D 20 60 1.4 1.5 4.0 2.4

3 5/A-B 20 600 10.1 1.1 4.0 2.4

2 5/A-B 20 600 20.9 2.2 4.0 2.4

1 5/A-B 20 600 31.1 3.2 4.0 2.4

1 5/A-C 20 815 30.9 2.4 4.0 2.4

3 A/2-1 20 400 19.3 3.0 4.0 2.4

2 A/2-1 20 400 28.0 4.4 5.0 5.0

1 A/2-1 20 400 21.4 3.3 4.0 2.4

3 A/3 20 80 11.8 9.2 5.0 5.0

2 A/3 20 80 11.9 9.3 5.0 5.0

1 A/3 20 80 9.8 7.7 5.0 5.0

3 A/5 20 360 31.4 5.4 5.0 5.0

2 A/5 20 360 33.6 5.8 5.0 5.0

1 A/5 20 360 25.8 4.5 5.0 5.0

1 A/5-1 20 1800 51.4 1.8 4.0 2.4

3 B/1-2 20 400 26.3 4.1 5.0 5.0

2 B/1-2 20 400 24.2 3.8 5.0 5.0


20/20

1 B/1-2 20 400 21.6 3.4 4.0 2.4

3 C/3 20 80 11.8 9.2 5.0 5.0

2 C/3 20 80 9.4 7.3 5.0 5.01 C/3 20 80 4.8 3.7 5.0 5.0

1 C/5 20 480 27.9 3.6 4.0 2.4

3 C/5- 20 360 28.0 4.9 5.0 5.0

2 C/5- 20 360 29.4 5.1 5.0 5.0

1 C/5- 20 360 27.6 4.8 5.0 5.0

3 D/1 20 60 2.1 2.2 4.0 2.4

2 D/1 20 60 3.5 3.6 5.0 5.0

1 D/1 20 60 4.9 5.1 5.0 5.0

3 D/1+ 20 50 1.4 1.8 4.0 2.4

2 D/1+ 20 50 4.2 5.3 5.0 5.0

1 D/1+ 20 50 5.6 7.0 5.0 5.0

3 D/2 20 90 2.9 2.0 4.0 2.4

2 D/2 20 90 6.4 4.5 5.0 5.0

1 D/2 20 90 6.9 4.8 5.0 5.0

3 D/2- 20 50 1.3 1.6 4.0 2.4

2 D/2- 20 50 4.1 5.1 5.0 5.0

1 D/2- 20 50 5.7 7.2 5.0 5.0

1 D/2-1 20 400 23.4 3.7 4.0 2.4

Cálculo Enfierradura de Muros

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