trabajo 50% calificacion

1ra seccion 2da seccion

1er piso w: 3 w:trabe: 6 trabe:columna: 4 columna:V: 3 V:

2do piso w: 4 w:trabe: 6 trabe:columna: 6 columna:V: 5 V:

1ra seccion1er piso VH/3: 4.000 K-trabe 0.667

K-columna 1.000

Planta baja VH/3: 16.000 K-trabe 0.667K-columna 0.667

Momentonodo 1 trabe: 0.2000 9.0000 nodo 2

columna: 0.3000

nodo 4 trabe: 0.1429 12.0000 nodo 5columna Ab: 0.1429columna Ar: 0.2143

1ra iteracion angular:

N1-0.2000 ( 9.0000 + -2-0.3000 ( 9.0000 + -2

N2-0.1538 ( 1.6667 + -1.4000-0.1154 ( 1.6667 + -1.4000-0.2308 ( 1.6667 + -1.4000

N3-0.1667 ( -1.6667 + 0.2000-0.3333 ( -1.6667 + 0.2000

N4-0.2143 ( 12.0000 + -2.1000-0.1429 ( 12.0000 + -2.1000-0.1429 ( 12.0000 + -2.1000

N5

-0.1765 ( 4.0000 + 0.0143-0.1176 ( 4.0000 + 0.0143-0.0882 ( 4.0000 + 0.0143

N5

-0.1176 ( 4.0000 + 0.0143

N6-0.2308 ( -2.5000 + 1.1556-0.1154 ( -2.5000 + 1.1556-0.1538 ( -2.5000 + 1.1556

Iteracion lineal1 -0.5000 ( 4.0000 +2 -0.5000 ( 16.0000 +

2da iteracion angular:

N1-0.2000 ( 9.0000 + 0.2667-0.3000 ( 9.0000 + 0.2667

N2-0.1538 ( 1.6667 + -1.1609-0.1154 ( 1.6667 + -1.1609-0.2308 ( 1.6667 + -1.1609

N3-0.1667 ( -1.6667 + 0.1632-0.3333 ( -1.6667 + 0.1632

N4-0.2143 ( 12.0000 + -1.7414-0.1429 ( 12.0000 + -1.7414-0.1429 ( 12.0000 + -1.7414

N5

-0.1765 ( 4.0000 + 0.3264-0.1176 ( 4.0000 + 0.3264-0.0882 ( 4.0000 + 0.3264-0.1176 ( 4.0000 + 0.3264

N6-0.2308 ( -2.5000 + 0.8276-0.1154 ( -2.5000 + 0.8276-0.1538 ( -2.5000 + 0.8276


3ra iteracion angular:

N1-0.2000 ( 9.0000 + 0.2176-0.3000 ( 9.0000 + 0.2176

N2-0.1538 ( 1.6667 + -1.1023-0.1154 ( 1.6667 + -1.1023-0.2308 ( 1.6667 + -1.1023

N3-0.1667 ( -1.6667 + 0.2187-0.3333 ( -1.6667 + 0.2187

N4-0.2143 ( 12.0000 + -1.6535-0.1429 ( 12.0000 + -1.6535-0.1429 ( 12.0000 + -1.6535

N5

-0.1765 ( 4.0000 + 0.3586-0.1176 ( 4.0000 + 0.3586-0.0882 ( 4.0000 + 0.3586-0.1176 ( 4.0000 + 0.3586

N6-0.2308 ( -2.5000 + 0.6424-0.1154 ( -2.5000 + 0.6424-0.1538 ( -2.5000 + 0.6424


4ta iteracion angular:

N1-0.2000 ( 9.0000 + 0.2916-0.3000 ( 9.0000 + 0.2916

N2-0.1538 ( 1.6667 + -1.0867-0.1154 ( 1.6667 + -1.0867-0.2308 ( 1.6667 + -1.0867

N3-0.1667 ( -1.6667 + 0.2467-0.3333 ( -1.6667 + 0.2467

N4-0.2143 ( 12.0000 + -1.6300-0.1429 ( 12.0000 + -1.6300-0.1429 ( 12.0000 + -1.6300

N5

-0.1765 ( 4.0000 + 0.4158-0.1176 ( 4.0000 + 0.4158-0.0882 ( 4.0000 + 0.4158-0.1176 ( 4.0000 + 0.4158

N6-0.2308 ( -2.5000 + 0.6642-0.1154 ( -2.5000 + 0.6642-0.1538 ( -2.5000 + 0.6642



N1-0.2000 ( 9.0000 + 0.3290-0.3000 ( 9.0000 + 0.3290

N2-0.1538 ( 1.6667 + -1.0784-0.1154 ( 1.6667 + -1.0784-0.2308 ( 1.6667 + -1.0784

N3-0.1667 ( -1.6667 + 0.2586-0.3333 ( -1.6667 + 0.2586

N4-0.2143 ( 12.0000 + -1.6176-0.1429 ( 12.0000 + -1.6176-0.1429 ( 12.0000 + -1.6176

N5

-0.1765 ( 4.0000 + 0.4443-0.1176 ( 4.0000 + 0.4443-0.0882 ( 4.0000 + 0.4443-0.1176 ( 4.0000 + 0.4443

N6-0.2308 ( -2.5000 + 0.6765

N6 -0.1154 ( -2.5000 + 0.6765-0.1538 ( -2.5000 + 0.6765



N1-0.2000 ( 9.0000 + 0.3448-0.3000 ( 9.0000 + 0.3448

N2-0.1538 ( 1.6667 + -1.0732-0.1154 ( 1.6667 + -1.0732-0.2308 ( 1.6667 + -1.0732

N3-0.1667 ( -1.6667 + 0.2639-0.3333 ( -1.6667 + 0.2639

N4-0.2143 ( 12.0000 + -1.6098-0.1429 ( 12.0000 + -1.6098-0.1429 ( 12.0000 + -1.6098

N5

-0.1765 ( 4.0000 + 0.4585-0.1176 ( 4.0000 + 0.4585-0.0882 ( 4.0000 + 0.4585-0.1176 ( 4.0000 + 0.4585

N6-0.2308 ( -2.5000 + 0.6830-0.1154 ( -2.5000 + 0.6830-0.1538 ( -2.5000 + 0.6830


7ma iteracion angular:

N1-0.2000 ( 9.0000 + 0.3519-0.3000 ( 9.0000 + 0.3519

N2-0.1538 ( 1.6667 + -1.0701-0.1154 ( 1.6667 + -1.0701-0.2308 ( 1.6667 + -1.0701

N3-0.1667 ( -1.6667 + 0.2666-0.3333 ( -1.6667 + 0.2666

N4-0.2143 ( 12.0000 + -1.6051-0.1429 ( 12.0000 + -1.6051-0.1429 ( 12.0000 + -1.6051

N5

-0.1765 ( 4.0000 + 0.4656-0.1176 ( 4.0000 + 0.4656-0.0882 ( 4.0000 + 0.4656-0.1176 ( 4.0000 + 0.4656

N6-0.2308 ( -2.5000 + 0.6864-0.1154 ( -2.5000 + 0.6864

N6-0.1538 ( -2.5000 + 0.6864


8va iteracion angular:

N1-0.2000 ( 9.0000 + 0.3554-0.3000 ( 9.0000 + 0.3554

N2-0.1538 ( 1.6667 + -1.0684-0.1154 ( 1.6667 + -1.0684-0.2308 ( 1.6667 + -1.0684

N3-0.1667 ( -1.6667 + 0.2679-0.3333 ( -1.6667 + 0.2679

N4-0.2143 ( 12.0000 + -1.6026-0.1429 ( 12.0000 + -1.6026-0.1429 ( 12.0000 + -1.6026

N5

-0.1765 ( 4.0000 + 0.4693-0.1176 ( 4.0000 + 0.4693-0.0882 ( 4.0000 + 0.4693-0.1176 ( 4.0000 + 0.4693

N6-0.2308 ( -2.5000 + 0.6882-0.1154 ( -2.5000 + 0.6882-0.1538 ( -2.5000 + 0.6882


9na iteracion angular:

N1-0.2000 ( 9.0000 + 0.3572-0.3000 ( 9.0000 + 0.3572

N2-0.1538 ( 1.6667 + -1.0674-0.1154 ( 1.6667 + -1.0674-0.2308 ( 1.6667 + -1.0674

N3-0.1667 ( -1.6667 + 0.2686-0.3333 ( -1.6667 + 0.2686

N4-0.2143 ( 12.0000 + -1.6012-0.1429 ( 12.0000 + -1.6012-0.1429 ( 12.0000 + -1.6012

N5

-0.1765 ( 4.0000 + 0.4712-0.1176 ( 4.0000 + 0.4712-0.0882 ( 4.0000 + 0.4712-0.1176 ( 4.0000 + 0.4712

N6-0.2308 ( -2.5000 + 0.6891-0.1154 ( -2.5000 + 0.6891-0.1538 ( -2.5000 + 0.6891


10ma iteracion angular:

N1-0.2000 ( 9.0000 + 0.3581-0.3000 ( 9.0000 + 0.3581

N2-0.1538 ( 1.6667 + -1.0670-0.1154 ( 1.6667 + -1.0670-0.2308 ( 1.6667 + -1.0670

N3-0.1667 ( -1.6667 + 0.2689-0.3333 ( -1.6667 + 0.2689

N4-0.2143 ( 12.0000 + -1.6004-0.1429 ( 12.0000 + -1.6004-0.1429 ( 12.0000 + -1.6004

N5

-0.1765 ( 4.0000 + 0.4722-0.1176 ( 4.0000 + 0.4722-0.0882 ( 4.0000 + 0.4722-0.1176 ( 4.0000 + 0.4722

N6-0.2308 ( -2.5000 + 0.6896-0.1154 ( -2.5000 + 0.6896-0.1538 ( -2.5000 + 0.6896



N1-0.2000 ( 9.0000 + 0.3585-0.3000 ( 9.0000 + 0.3585

N2-0.1538 ( 1.6667 + -1.0667-0.1154 ( 1.6667 + -1.0667-0.2308 ( 1.6667 + -1.0667

N3-0.1667 ( -1.6667 + 0.2691-0.3333 ( -1.6667 + 0.2691

N4-0.2143 ( 12.0000 + -1.6001-0.1429 ( 12.0000 + -1.6001-0.1429 ( 12.0000 + -1.6001

N5

-0.1765 ( 4.0000 + 0.4727-0.1176 ( 4.0000 + 0.4727-0.0882 ( 4.0000 + 0.4727-0.1176 ( 4.0000 + 0.4727

N6-0.2308 ( -2.5000 + 0.6899-0.1154 ( -2.5000 + 0.6899-0.1538 ( -2.5000 + 0.6899

Iteracion lineal

1 -0.5000 ( 4.0000 +2 -0.5000 ( 16.0000 +


N1-0.2000 ( 9.0000 + 0.3588-0.3000 ( 9.0000 + 0.3588

N2-0.1538 ( 1.6667 + -1.0666-0.1154 ( 1.6667 + -1.0666-0.2308 ( 1.6667 + -1.0666

N3-0.1667 ( -1.6667 + 0.2692-0.3333 ( -1.6667 + 0.2692

N4-0.2143 ( 12.0000 + -1.5999-0.1429 ( 12.0000 + -1.5999-0.1429 ( 12.0000 + -1.5999

N5

-0.1765 ( 4.0000 + 0.4730-0.1176 ( 4.0000 + 0.4730-0.0882 ( 4.0000 + 0.4730-0.1176 ( 4.0000 + 0.4730

N6-0.2308 ( -2.5000 + 0.6900-0.1154 ( -2.5000 + 0.6900-0.1538 ( -2.5000 + 0.6900



N1-0.2000 ( 9.0000 + 0.3589-0.3000 ( 9.0000 + 0.3589

N2-0.1538 ( 1.6667 + -1.0665-0.1154 ( 1.6667 + -1.0665-0.2308 ( 1.6667 + -1.0665

N3-0.1667 ( -1.6667 + 0.2692-0.3333 ( -1.6667 + 0.2692

N4-0.2143 ( 12.0000 + -1.5998-0.1429 ( 12.0000 + -1.5998-0.1429 ( 12.0000 + -1.5998

N5

-0.1765 ( 4.0000 + 0.4731-0.1176 ( 4.0000 + 0.4731-0.0882 ( 4.0000 + 0.4731-0.1176 ( 4.0000 + 0.4731

N6-0.2308 ( -2.5000 + 0.6901-0.1154 ( -2.5000 + 0.6901-0.1538 ( -2.5000 + 0.6901

Iteracion lineal1 -0.5000 ( 4.0000 +

2 -0.5000 ( 16.0000 +

Momentos finales

N11-2 9.0000 + 2.0000 (1-4 2.0000 ( -1.5998 )

N22-1 -9.0000 + 2.0000 (2-3 10.6667 + 2.0000 (2-5 2.0000 ( 0.5385 )

N33-2 -1.6667 + 2.0000 (3-6 2.0000 ( 0.8447 )

N44-1 2.0000 ( 0.7097 )4-5 12.0000 + 2.0000 (4-7 2.0000 ( 0.4731 )

N5

5-2 2.0000 ( 1.3802 )5-4 -12.0000 + 2.0000 (5-6 16.0000 + 2.0000 (5-8 2.0000 ( 0.9201 )

N66-3 2.0000 ( 3.5994 )6-5 -2.5000 + 2.0000 (6-9 2.0000 ( 2.3996 )

2da seccion Cantiliber

2 w: 28 trabe: 34 columna: 00 V: 03 w: 38 trabe: 36 columna: 00 V: 0

2da seccionK-trabe 0.500K-columna 1.000 F.D.L. -0.5 -2

K-trabe 0.500K-columna 0.667 F.D.L. -0.5 -8

Momentotrabe Iz: 0.1538 -9.0000 1.6667 nodo 3 trabe:trabe De: 0.1154 10.6667 columna:columna: 0.2308

trabe Iz: 0.1176 -12.0000 4.0000 nodo 6 trabe:trabe De: 0.0882 16.0000 columna Ab:columna Ab: 0.1176 columna Ar:columna Arr: 0.1765

) = -1.4000) = -2.1000+ -2 ) = 0.2667+ -2 ) = 0.2000+ -2 ) = 0.4000+ -2 ) = 0.5778+ -2 ) = 1.1556+ -2 + -8 ) =+ -2 + -8 ) =+ -2 + -8 ) =+ 0.4000 + -2 + -8+ 0.4000 + -2 + -8+ 0.4000 + -2 + -8

+ 0.4000 + -2 + -8+ 0.4929 + -2 + -8+ 0.4929 + -2 + -8+ 0.4929 + -2 + -8

-2.1000 + 0.4000 + 1.1556 +0.0143 + 0.6571 + 1.6695 )

+ 0.0214 + -3.4835 ) =+ 0.0214 + -3.4835 ) =+ 0.5778 + 0.9857 + -3.4835+ 0.5778 + 0.9857 + -3.4835+ 0.5778 + 0.9857 + -3.4835+ 2.5042 + -3.4835 ) =+ 2.5042 + -3.4835 ) =+ 0.6571 + -3.4835 + -9.1705+ 0.6571 + -3.4835 + -9.1705+ 0.6571 + -3.4835 + -9.1705+ 0.2483 + 1.2521 + -3.4835+ 0.2483 + 1.2521 + -3.4835+ 0.2483 + 1.2521 + -3.4835+ 0.2483 + 1.2521 + -3.4835+ 0.6024 + -3.4835 + -9.1705+ 0.6024 + -3.4835 + -9.1705+ 0.6024 + -3.4835 + -9.1705

-1.7414 + 0.3264 + 0.8276 +0.2483 + 0.8032 + 2.1114 )

+ 0.3725 + -4.0784 ) =+ 0.3725 + -4.0784 ) =+ 0.4138 + 1.2048 + -4.0784+ 0.4138 + 1.2048 + -4.0784+ 0.4138 + 1.2048 + -4.0784+ 3.1671 + -4.0784 ) =+ 3.1671 + -4.0784 ) =+ 0.8032 + -4.0784 + -9.5814+ 0.8032 + -4.0784 + -9.5814+ 0.8032 + -4.0784 + -9.5814+ 0.4374 + 1.5835 + -4.0784+ 0.4374 + 1.5835 + -4.0784+ 0.4374 + 1.5835 + -4.0784+ 0.4374 + 1.5835 + -4.0784

+ 0.7864 + -4.0784 + -9.5814+ 0.7864 + -4.0784 + -9.5814+ 0.7864 + -4.0784 + -9.5814

-1.6535 + 0.4374 + 0.7864 +0.3586 + 0.8565 + 2.2663 )

+ 0.5379 + -4.3963 ) =+ 0.5379 + -4.3963 ) =+ 0.3932 + 1.2848 + -4.3963+ 0.3932 + 1.2848 + -4.3963+ 0.3932 + 1.2848 + -4.3963+ 3.3995 + -4.3963 ) =+ 3.3995 + -4.3963 ) =+ 0.8565 + -4.3963 + -9.7407+ 0.8565 + -4.3963 + -9.7407+ 0.8565 + -4.3963 + -9.7407+ 0.4934 + 1.6997 + -4.3963+ 0.4934 + 1.6997 + -4.3963+ 0.4934 + 1.6997 + -4.3963+ 0.4934 + 1.6997 + -4.3963+ 0.8056 + -4.3963 + -9.7407+ 0.8056 + -4.3963 + -9.7407+ 0.8056 + -4.3963 + -9.7407

-1.6300 + 0.4934 + 0.8056 +0.4158 + 0.8856 + 2.3334 )

+ 0.6237 + -4.5606 ) =+ 0.6237 + -4.5606 ) =+ 0.4028 + 1.3285 + -4.5606+ 0.4028 + 1.3285 + -4.5606+ 0.4028 + 1.3285 + -4.5606+ 3.5001 + -4.5606 ) =+ 3.5001 + -4.5606 ) =+ 0.8856 + -4.5606 + -9.8174+ 0.8856 + -4.5606 + -9.8174+ 0.8856 + -4.5606 + -9.8174+ 0.5172 + 1.7501 + -4.5606+ 0.5172 + 1.7501 + -4.5606+ 0.5172 + 1.7501 + -4.5606+ 0.5172 + 1.7501 + -4.5606+ 0.8229 + -4.5606 + -9.8174

+ 0.8229 + -4.5606 + -9.8174+ 0.8229 + -4.5606 + -9.8174

-1.6176 + 0.5172 + 0.8229 +0.4443 + 0.9019 + 2.3660 )

+ 0.6664 + -4.6454 ) =+ 0.6664 + -4.6454 ) =+ 0.4114 + 1.3529 + -4.6454+ 0.4114 + 1.3529 + -4.6454+ 0.4114 + 1.3529 + -4.6454+ 3.5489 + -4.6454 ) =+ 3.5489 + -4.6454 ) =+ 0.9019 + -4.6454 + -9.8561+ 0.9019 + -4.6454 + -9.8561+ 0.9019 + -4.6454 + -9.8561+ 0.5279 + 1.7745 + -4.6454+ 0.5279 + 1.7745 + -4.6454+ 0.5279 + 1.7745 + -4.6454+ 0.5279 + 1.7745 + -4.6454+ 0.8331 + -4.6454 + -9.8561+ 0.8331 + -4.6454 + -9.8561+ 0.8331 + -4.6454 + -9.8561

-1.6098 + 0.5279 + 0.8331 +0.4585 + 0.9107 + 2.3824 )

+ 0.6877 + -4.6892 ) =+ 0.6877 + -4.6892 ) =+ 0.4165 + 1.3660 + -4.6892+ 0.4165 + 1.3660 + -4.6892+ 0.4165 + 1.3660 + -4.6892+ 3.5736 + -4.6892 ) =+ 3.5736 + -4.6892 ) =+ 0.9107 + -4.6892 + -9.8758+ 0.9107 + -4.6892 + -9.8758+ 0.9107 + -4.6892 + -9.8758+ 0.5331 + 1.7868 + -4.6892+ 0.5331 + 1.7868 + -4.6892+ 0.5331 + 1.7868 + -4.6892+ 0.5331 + 1.7868 + -4.6892+ 0.8386 + -4.6892 + -9.8758+ 0.8386 + -4.6892 + -9.8758

+ 0.8386 + -4.6892 + -9.8758

-1.6051 + 0.5331 + 0.8386 +0.4656 + 0.9152 + 2.3908 )

+ 0.6984 + -4.7120 ) =+ 0.6984 + -4.7120 ) =+ 0.4193 + 1.3728 + -4.7120+ 0.4193 + 1.3728 + -4.7120+ 0.4193 + 1.3728 + -4.7120+ 3.5861 + -4.7120 ) =+ 3.5861 + -4.7120 ) =+ 0.9152 + -4.7120 + -9.8858+ 0.9152 + -4.7120 + -9.8858+ 0.9152 + -4.7120 + -9.8858+ 0.5357 + 1.7931 + -4.7120+ 0.5357 + 1.7931 + -4.7120+ 0.5357 + 1.7931 + -4.7120+ 0.5357 + 1.7931 + -4.7120+ 0.8416 + -4.7120 + -9.8858+ 0.8416 + -4.7120 + -9.8858+ 0.8416 + -4.7120 + -9.8858

-1.6026 + 0.5357 + 0.8416 +0.4693 + 0.9176 + 2.3951 )

+ 0.7040 + -4.7239 ) =+ 0.7040 + -4.7239 ) =+ 0.4208 + 1.3764 + -4.7239+ 0.4208 + 1.3764 + -4.7239+ 0.4208 + 1.3764 + -4.7239+ 3.5926 + -4.7239 ) =+ 3.5926 + -4.7239 ) =+ 0.9176 + -4.7239 + -9.8910+ 0.9176 + -4.7239 + -9.8910+ 0.9176 + -4.7239 + -9.8910+ 0.5371 + 1.7963 + -4.7239+ 0.5371 + 1.7963 + -4.7239+ 0.5371 + 1.7963 + -4.7239+ 0.5371 + 1.7963 + -4.7239+ 0.8431 + -4.7239 + -9.8910+ 0.8431 + -4.7239 + -9.8910+ 0.8431 + -4.7239 + -9.8910

-1.6012 + 0.5371 + 0.8431 +0.4712 + 0.9189 + 2.3973 )

+ 0.7068 + -4.7301 ) =+ 0.7068 + -4.7301 ) =+ 0.4216 + 1.3783 + -4.7301+ 0.4216 + 1.3783 + -4.7301+ 0.4216 + 1.3783 + -4.7301+ 3.5960 + -4.7301 ) =+ 3.5960 + -4.7301 ) =+ 0.9189 + -4.7301 + -9.8937+ 0.9189 + -4.7301 + -9.8937+ 0.9189 + -4.7301 + -9.8937+ 0.5378 + 1.7980 + -4.7301+ 0.5378 + 1.7980 + -4.7301+ 0.5378 + 1.7980 + -4.7301+ 0.5378 + 1.7980 + -4.7301+ 0.8439 + -4.7301 + -9.8937+ 0.8439 + -4.7301 + -9.8937+ 0.8439 + -4.7301 + -9.8937

-1.6004 + 0.5378 + 0.8439 +0.4722 + 0.9195 + 2.3985 )

+ 0.7083 + -4.7333 ) =+ 0.7083 + -4.7333 ) =+ 0.4220 + 1.3793 + -4.7333+ 0.4220 + 1.3793 + -4.7333+ 0.4220 + 1.3793 + -4.7333+ 3.5977 + -4.7333 ) =+ 3.5977 + -4.7333 ) =+ 0.9195 + -4.7333 + -9.8951+ 0.9195 + -4.7333 + -9.8951+ 0.9195 + -4.7333 + -9.8951+ 0.5382 + 1.7989 + -4.7333+ 0.5382 + 1.7989 + -4.7333+ 0.5382 + 1.7989 + -4.7333+ 0.5382 + 1.7989 + -4.7333+ 0.8444 + -4.7333 + -9.8951+ 0.8444 + -4.7333 + -9.8951+ 0.8444 + -4.7333 + -9.8951

-1.6001 + 0.5382 + 0.8444 +0.4727 + 0.9198 + 2.3991 )

+ 0.7091 + -4.7350 ) =+ 0.7091 + -4.7350 ) =+ 0.4222 + 1.3798 + -4.7350+ 0.4222 + 1.3798 + -4.7350+ 0.4222 + 1.3798 + -4.7350+ 3.5986 + -4.7350 ) =+ 3.5986 + -4.7350 ) =+ 0.9198 + -4.7350 + -9.8958+ 0.9198 + -4.7350 + -9.8958+ 0.9198 + -4.7350 + -9.8958+ 0.5384 + 1.7993 + -4.7350+ 0.5384 + 1.7993 + -4.7350+ 0.5384 + 1.7993 + -4.7350+ 0.5384 + 1.7993 + -4.7350+ 0.8446 + -4.7350 + -9.8958+ 0.8446 + -4.7350 + -9.8958+ 0.8446 + -4.7350 + -9.8958

-1.5999 + 0.5384 + 0.8446 +0.4730 + 0.9200 + 2.3994 )

+ 0.7095 + -4.7359 ) =+ 0.7095 + -4.7359 ) =+ 0.4223 + 1.3800 + -4.7359+ 0.4223 + 1.3800 + -4.7359+ 0.4223 + 1.3800 + -4.7359+ 3.5991 + -4.7359 ) =+ 3.5991 + -4.7359 ) =+ 0.9200 + -4.7359 + -9.8962+ 0.9200 + -4.7359 + -9.8962+ 0.9200 + -4.7359 + -9.8962+ 0.5385 + 1.7996 + -4.7359+ 0.5385 + 1.7996 + -4.7359+ 0.5385 + 1.7996 + -4.7359+ 0.5385 + 1.7996 + -4.7359+ 0.8447 + -4.7359 + -9.8962+ 0.8447 + -4.7359 + -9.8962+ 0.8447 + -4.7359 + -9.8962

-1.5998 + 0.5385 + 0.8447 +

0.4731 + 0.9201 + 2.3996 )

-1.0665 ) + 0.3590 = 7.2260+ 0.7097 + -4.7363 = -7.2262

0.3590 ) + -1.0665 = -9.34850.2692 ) + 0.4224 = 11.6275

+ 1.3802 + -4.7363 = -2.27920.4224 ) + 0.2692 = -0.5527

+ 3.5994 + -4.7363 = 0.5525+ -1.5998 + -4.7363 = -4.9167

0.4731 ) + 0.9201 = 13.8663+ 0.0000 + -9.8964 = -8.9502+ 0.5385 + -4.7363 = -1.4375

0.9201 ) + 0.4731 = -9.68670.6901 ) + 1.7997 = 19.1798

+ 0.0000 + -9.8964 = -8.0562+ 0.8447 + -4.7363 = 3.3071

1.7997 ) + 0.6901 = 1.7894+ 0.0000 + -9.8964 = -5.0972

Momento0.1667 -10.6667 9.00000.3333 -1.6667

0.1154 -16.0000 13.50000.1538 -2.50000.2308

0.02140.01430.0143

= ) 0.9857= ) 0.6571= ) 0.4929

= ) 0.6571= ) 2.5042= ) 1.2521= ) 1.6695

0.0214 + 0.9857 + 2.5042 )= -9.1705

-1.1609-1.7414

) = 0.2176) = 0.1632) = 0.3264

0.41380.8276

) = 0.3725) = 0.2483) = 0.2483+ -9.1705 ) = 1.2048+ -9.1705 ) = 0.8032+ -9.1705 ) = 0.6024+ -9.1705 ) = 0.8032) = 3.1671) = 1.5835) = 2.1114

0.3725 + 1.2048 + 3.1671 )= -9.5814

-1.1023-1.6535

) = 0.2916) = 0.2187) = 0.4374

0.39320.7864

) = 0.5379) = 0.3586) = 0.3586+ -9.5814 ) = 1.2848+ -9.5814 ) = 0.8565+ -9.5814 ) = 0.6424+ -9.5814 ) = 0.8565

) = 3.3995) = 1.6997) = 2.2663

0.5379 + 1.2848 + 3.3995 )= -9.74070805

-1.0867-1.6300

) = 0.3290) = 0.2467) = 0.4934

0.40280.8056

) = 0.6237) = 0.4158) = 0.4158+ -9.7407 ) = 1.3285+ -9.7407 ) = 0.8856+ -9.7407 ) = 0.6642+ -9.7407 ) = 0.8856) = 3.5001) = 1.7501) = 2.3334

0.6237 + 1.3285 + 3.5001 )= -9.81741559

-1.0784-1.6176

) = 0.3448) = 0.2586) = 0.5172

0.41140.8229

) = 0.6664) = 0.4443) = 0.4443+ -9.8174 ) = 1.3529+ -9.8174 ) = 0.9019+ -9.8174 ) = 0.6765+ -9.8174 ) = 0.9019) = 3.5489

) = 1.7745) = 2.3660

0.6664 + 1.3529 + 3.5489 )= -9.8560955

-1.0732-1.6098

) = 0.3519) = 0.2639) = 0.5279

0.41650.8331

) = 0.6877) = 0.4585) = 0.4585+ -9.8561 ) = 1.3660+ -9.8561 ) = 0.9107+ -9.8561 ) = 0.6830+ -9.8561 ) = 0.9107) = 3.5736) = 1.7868) = 2.3824

0.6877 + 1.3660 + 3.5736 )= -9.87575167

-1.0701-1.6051

) = 0.3554) = 0.2666) = 0.5331

0.41930.8386

) = 0.6984) = 0.4656) = 0.4656+ -9.8758 ) = 1.3728+ -9.8758 ) = 0.9152+ -9.8758 ) = 0.6864+ -9.8758 ) = 0.9152) = 3.5861) = 1.7931

) = 2.3908

0.6984 + 1.3728 + 3.5861 )= -9.885813

-1.0684-1.6026

) = 0.3572) = 0.2679) = 0.5357

0.42080.8416

) = 0.7040) = 0.4693) = 0.4693+ -9.8858 ) = 1.3764+ -9.8858 ) = 0.9176+ -9.8858 ) = 0.6882+ -9.8858 ) = 0.9176) = 3.5926) = 1.7963) = 2.3951

0.7040 + 1.3764 + 3.5926 )= -9.89100167

-1.0674-1.6012

) = 0.3581) = 0.2686) = 0.5371

0.42160.8431

) = 0.7068) = 0.4712) = 0.4712+ -9.8910 ) = 1.3783+ -9.8910 ) = 0.9189+ -9.8910 ) = 0.6891+ -9.8910 ) = 0.9189) = 3.5960) = 1.7980) = 2.3973

0.7068 + 1.3783 + 3.5960 )= -9.89369213

-1.0670-1.6004

) = 0.3585) = 0.2689) = 0.5378

0.42200.8439

) = 0.7083) = 0.4722) = 0.4722+ -9.8937 ) = 1.3793+ -9.8937 ) = 0.9195+ -9.8937 ) = 0.6896+ -9.8937 ) = 0.9195) = 3.5977) = 1.7989) = 2.3985

0.7083 + 1.3793 + 3.5977 )= -9.89509176

-1.0667-1.6001

) = 0.3588) = 0.2691) = 0.5382

0.42220.8444

) = 0.7091) = 0.4727) = 0.4727+ -9.8951 ) = 1.3798+ -9.8951 ) = 0.9198+ -9.8951 ) = 0.6899+ -9.8951 ) = 0.9198) = 3.5986) = 1.7993) = 2.3991

0.7091 + 1.3798 + 3.5986 )= -9.89582117

-1.0666-1.5999

) = 0.3589) = 0.2692) = 0.5384

0.42230.8446

) = 0.7095) = 0.4730) = 0.4730+ -9.8958 ) = 1.3800+ -9.8958 ) = 0.9200+ -9.8958 ) = 0.6900+ -9.8958 ) = 0.9200) = 3.5991) = 1.7996) = 2.3994

0.7095 + 1.3800 + 3.5991 )= -9.89620165

-1.0665-1.5998

) = 0.3590) = 0.2692) = 0.5385

0.42240.8447

) = 0.7097) = 0.4731) = 0.4731+ -9.8962 ) = 1.3802+ -9.8962 ) = 0.9201+ -9.8962 ) = 0.6901+ -9.8962 ) = 0.9201) = 3.5994) = 1.7997) = 2.3996

0.7097 + 1.3802 + 3.5994 )

= -9.89640022

Cortante-0.0002 -0.3538

-3.0357-0.0003

0.0506-0.9292

-11.2227 -0.00020.6433

-0.00060.6966

-1.4917-0.0005

0.6212-1.3427

-0.0007-14.2106

-0.8495

= -3.4835

= -4.0784

= -4.3963

= -4.5606

= -4.6454

= -4.6892

= -4.7120

= -4.7239

= -4.7301

= -4.7333

= -4.7350

= -4.7359

= -4.7363

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