aeroporto de macapÁ - ap -...

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MEMORIAL DE CÁLCULOS

AEROPORTO DE MACAPÁ - AP

ESTRUTURA METÁLICA

2005 / 2006


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SUMÁRIO

I APRESENTAÇÃO - 3 - II DOCUMENTOS CONSULTADOS - 3 -

II.1 Projetos de Arquitetura: - 3 -

III NORMAS E BIBLIOGRAFIA - 3 -

III.1 Normas: - 3 -

III.2 Bibliografia técnica: - 4 -

IV MODELAGEM ESTRUTURAL - 4 - V CARREGAMENTOS - 7 -

V.1 Carregamentos devidos ao vento - 7 -

VI COMBINAÇÕES DE CARGA - 11 -

VII ESFORÇOS NOS PILARES - 12 -

VIII DIMENSIONAMENTO - 13 -

VIII.1 Elementos estruturais principais (Vigas) - 13 -

VIII.2 Elementos estruturais secundárias (Terças e Mãos Francesas) - 16 -

VIII.2.a Terças da Cobertura - 17 -

VIII.2.b Terças do Balanço e da Cobertura Elevada - 19 -

VIII.2.c Mão-francesa da cobertura - 20 -

VIII.2.d Mão-francesa do balanço - 21 -

VIII.3 Ligações - 22 -

VIII.3.a Ligação para perfis VS 700x96 - 22 -

VIII.3.b Ligação para perfis VS 700x114 - 24 -

VIII.3.c Ligação para perfis VS 750x108 - 26 -

VIII.3.d Ligação para perfis VS 1100x417 - 28 -


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I APRESENTAÇÃO

O objetivo do presente relatório é apresentar um memorial de cálculos das estruturas metálicas

do Aeroporto Internacional de Macapá - AP. Com esse memorial, serão definidas as premissas utilizadas para modelagem, cálculo estrutural

e dimensionamento das estruturas metálicas e apresentadas as reações a serem utilizadas para o

cálculo das estruturas de suporte. Serão abordados aspectos referentes à geometria,

carregamentos, combinações de cargas, esforços, dimensionamento e ligações.

II DOCUMENTOS CONSULTADOS

II.1 Projetos de Arquitetura:

MQ.06/201.08/02573/0A ao MQ.06/201.08/02580;

MQ.06/201.11/02587/0A;

Cortes 1.1, 2.2, 3.3, 4.4;

Seção Fechamento Eixo 7;

III NORMAS E BIBLIOGRAFIA

III.1 Normas:

i. ABNT NBR8800 – Projeto e Execução de Estruturas de Aço de Edifícios.

ii. ABNT NBR6123 – Forças Devidas ao Vento em Edificações.

iii. Manual of Steel Construction LRFD, AISC.

iv. Specification for the Design of Cold-formed Steel Structural Members, AISI, 1996

Edition.

v. Structural Steel Designer’s Handbook – Third Edition (McGraw Hill, Inc).


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III.2 Bibliografia técnica:

i. PFEIL, W.; PFEIL, M. “Estruturas de Aço – Dimensionamento Prático” 7ª

Edição, Editora LTC.

ii. BELLEI, I., F., PINHO, M., “Edifícios de múltiplos andares em aço”, 1ª Edição,

Editora PINI.

iii. BELLEI, I., “Edifícios industriais em aço – Projeto e Cálculo”, 1ª Edição, Editora

Pini.

iv. BALLIO, G., MAZZOLANI, F. M., “Theory and Design of Steel Structures”,

First Edition (Chapman and Hall Ltd, Inc.).

v. SALMON, CHARLES G., JONSHON, JONH E., “Steel Structure – Design and

Behavior”, Fourth Edition (Prentice Hall, Inc.).

IV MODELAGEM ESTRUTURAL

O modelo estrutural foi baseado nas informações e geometria do projeto arquitetônico

respeitando as modulações dos pilares, forma da cobertura e pé-direito livre.

Foi desenvolvido um modelo global tridimensional contemplando todos os elementos

estruturais metálicos como vigas, terças, mãos-francesas, espaçadores e contraventamentos

horizontais, além dos pilares em concreto armado. Todos os elementos estruturais foram

considerados como elementos unifilares no modelo, com exceção dos pilares pórticos em

concreto, entre os eixos B e C, que foram modelados como elementos de placa, como visto nas

figuras a seguir.

Com exceção dos apoios dos arcos da cobertura mais alta (eixos 7 e 8), os apoios das vigas

metálicas sobre os pilares de concreto são rotulados, desta forma na há transferência direta de

momentos fletores da estrutura metálica para a de concreto.


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Foram consideradas juntas de dilatação nos eixos 3, 6, 9 e 12. No modelo estas juntas são

representadas com liberação dos esforços axiais nas extremidades das terças que se apóiam nas

vigas posicionadas nesses eixos.

Nos eixos 7 e 8, os arcos metálicos da cobertura mais alta ficam defasados 450mm do eixo,

havendo necessidade de colocação de consoles metálicos nesses pontos para apoio dos mesmos

nos eixos G e H, onde existem pilares. Por esse motivo ocorre transferência de momentos

fletores aos pilares de concreto nesses pontos. No eixo E, onde não há pilar, foi criada uma

viga metálica, VM17, fixada nas vigas dos eixos 7 e 8 que servirá de apoio para os arcos.

Todos os elementos estruturais são em aço SAC-300 ou similar (tensão de escoamento de

300MPa), com exceção das terças do balanço e da cobertura alta (entre eixos 7 e 8) que são em

aço ASTM-A588 (tensão de escoamento de 345MPa). As soldas são com eletrodo E7018G

compatível com o aço utilizado. Os parafusos utilizados são de alta resistência ASTM A325.

Viga transversal VM17

Figura 1 – Viga Transversal entre eixos 7 e 8


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A seguir são mostrados cortes esquemáticos da estrutura:

Figura 2 – Corte para eixos 1, 2, 13 e 14

Figura 3 – Corte para eixos 3 ao 6 e 9 ao 12

Figura 4 – Corte para eixos 7 e 8

Figura 5 – Vista Geral


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V CARREGAMENTOS

1. Peso próprio (PP) – Peso dos elementos estruturais Cálculo Automático 2. Cargas permanentes (CP):

2.1. Telha de aço com isolamento termo-acústico 150 N/m²

2.2. Forro Luxalon 60 N/m²

2.3. Instalações 250 N/m² 3. Sobrecarga:

Total = 460 N/m²

3.1. Utilização (Carga Acidental - CA) 250 N/m² 4. Temperatura (TEMP) (variação) ± 10oC

V.1 Carregamentos devidos ao vento A velocidade característica para Macapá é V0 = 30 m/s.

Figura 6 – Isopletas da velocidade básica V0 (m/s)


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Para o fator topográfico S1

“a) terreno plano ou fracamente acidentado: S1 = 1,0;” [NBR6123] Para o fator S2

A rugosidade do terreno se encaixa na Categoria II

“Categoria II: Terrenos abertos em nível ou aproximadamente em nível, com poucos obstáculos isolados,

tais como árvores e edificações baixas. Exemplos:

- zonas costeiras planas;

- pântanos com vegetação rala;

- campos de aviação;

- pradarias e charnecas;

- fazendas sem sebes ou muros.

A cota média do topo dos obstáculos é considerada inferior ou igual a 1,0 m.” [NBR6123]

Com relação às dimensões das edificações, a cobertura se enquadra na Classe C:

Classe A: Todas as unidades de vedação, seus elementos de fixação e peças individuais de estruturas sem

vedação. Toda edificação na qual a maior dimensão horizontal ou vertical não exceda 20 m.

Classe B: Toda edificação ou parte de edificação para a qual a maior dimensão horizontal ou vertical da

superfície frontal esteja entre 20 m e 50 m.

Classe C: Toda edificação ou parte de edificação para a qual a maior dimensão

horizontal ou vertical da superfície frontal exceda 50 m. [NBR6123]


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2

A equação a seguir descreve o valor de S2 em função da altura(z).

10,0

210

z.95,0.000,1S

=

Para o fator S3

Considerando que um aeroporto trata-se de uma edificação fundamental para socorro de

vítimas em caso de emergência, utilizou-se o fator estatístico S3 = 1,1.

Como a estrutura de cobertura tem uma grande variação de altura ao longo do seu

desenvolvimento, foi feito um escalonamento da velocidade característica e da pressão de vento

em função da altura (z). O ponto mais baixo da estrutura está localizado na região do balanço e

tem 8,0m de altura, e o mais alto fica entre os eixos 7 e 8 com aproximadamente 19,0m.

Onde a velocidade característica é

10,0

k3210k10

Z.5,28VS.S.S.VV

=⇒=

e pressão básica de vento

Q = 0,613 ⋅Vk

Os valores da velocidade característica de vento Vk e da pressão dinâmica Q, para cada altura da

cobertura, estão mostrados na tabela abaixo:

z (m) S2 Vk (m/s) Q (N/m²) 8 0.93 30.66 576 9 0.94 31.02 590 10 0.95 31.35 602 11 0.96 31.65 614 12 0.97 31.93 625 13 0.98 32.18 635 14 0.98 32.42 644 15 0.99 32.65 653 16 1.00 32.86 662 17 1.00 33.06 670 18 1.01 33.25 678 19 1.01 33.43 685


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Coeficiente de Pressão Externa (Cpe) e Interna (Cpi)

Cp = Cpe - Cpi

A determinação dos coeficientes de pressão foi feita baseada em situações similares encontradas

na NBR 6123, entretanto o formato e os contornos curvos da cobertura não são realmente

contemplados pela norma. Portanto, o mais aconselhado seria a execução de ensaios em túnel

de vento que pudessem descrever melhor as distribuições de pressão na cobertura. Para a cobertura entre os eixos B e H tomou-se como coeficiente de pressão externa Cpe = -

1.0. Para o balanço entre os eixos A e B foram considerados valores de Cpe = -0.8 e de

coeficiente de pressão interna Cpi = 0.8, considerando vento atuando para cima.

Admitindo sempre valores de coeficiente de pressão mais desfavoráveis à estrutura, também foi

considerado, para o caso de vento atuando para baixo no balanço, valores de Cpe conforme

indicação na figura 7.

Figura 7 – Carregamento de vento no balanço com valore de Cpe


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VI COMBINAÇÕES DE CARGA

N C1: 1.4 PP + 1.4 CP

N

C2:

1.2 PP + 1.2 CP + 1.6 CA

N

C3:

1.2 PP + 1.2 CP + 0.5 CA + 1.3 VT + 1.3 VT(MARQ)

N

C4:

1.2 PP + 1.2 CP + 0.5 CA + 1.3 VT - 1.3 VT(MARQ)

N

C5:

0.9 PP + 0.9 CP + 1.3 VT + 1.3 VT(MARQ)

N

C6:

0.9 PP + 0.9 CP + 1.3 VT - 1.3 VT(MARQ)

N

C7:

1.2 PP + 1.2 CP + 0.5 CA + 1.3 VT(MARQ)

N

C8:

1.2 PP + 1.2 CP + 0.5 CA - 1.3 VT(MARQ)

N

C9:

0.9 PP + 0.9 CP + 1.3 VT(MARQ)

N

C10:

0.9 PP + 0.9 CP - 1.3 VT(MARQ)

Todas as combinações acima ainda foram combinadas com variação térmica positiva (+TEMP)

e negativa (-TEMP).


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VII ESFORÇOS NOS PILARES

Os esforços obtidos do modelo estrutural no topo dos pilares de concreto estão listados nos

Anexos 1 e 2 para todas as combinações de carga. A identificação dos nós de apoio é relacionada ao eixo onde o mesmo se encontra. Por

exemplo, o nó de apoio G3 equivale ao ponto de interseção entre os eixos G e 3 como

mostrado na figura 8. Para os eixos 7 e 8, onde há o encontro das duas coberturas, são

considerados dois nós de apoio: um para a estrutura mais baixa e o outro para a cobertura mais

alta onde haverá um console de apoio. Esses nós são representados com uma identificação a

mais: “-1“.

Figura 8 – Locação dos nós de apoio


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VIII DIMENSIONAMENTO

VIII.1 Elementos estruturais principais (Vigas)

Para o cálculo das vigas de cobertura, consideradas como principais elementos da

estrutura, foi utilizado um procedimento automático para verificação dos mesmos

baseado na norma americana AISC/LRFD.

Neste procedimento os esforços de cada uma das combinações de carga serão

comparados com a resistência de cálculo de cada elemento. Como a quantidade de

informações e verificações é muito grande, será apresentada uma saída gráfica

mostrando a relação entre esses esforços. É uma saída concisa, porém eficiente para

análise das verificações.

Figura 9 – Relação entre esforços atuante e resistente – Eixos 1, 2, 13 e 14


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Figura 10 – Relação entre esforços atuante e resistente – Eixos 3 ao 6 e 9 ao 12 (Trecho 1)

Figura 11 – Relação entre esforços atuante e resistente – Eixos 3 ao 6 e 9 ao 12 (Trecho 2)


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Figura 12 – Relação entre esforços atuante e resistente – Eixos 7 e 8 (Trecho 1)

Figura 13 – Relação entre esforços atuante e resistente – Eixos 7 e 8 (Trecho 2)


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Figura 14 – Relação entre esforços atuante e resistente – entre Eixos 7 e 8

Pode-se observar a ocorrência, apenas nos eixos 7 e 8, de alguns elementos com nível de tensão

um pouco acima do permitido. Esse possível problema foi considerado aceitável, pois o nível

de tensão foi ultrapassado em no máximo 6% para combinação de carga com variação de

temperatura.

VIII.2 Elementos estruturais secundárias (Terças e Mãos Francesas)

O dimensionamento desses elementos foi feito separadamente, utilizando a norma

específica para perfis dobrados a frio. Foram extraídos do modelo numérico os

esforços máximos nos elementos e comparados às resistências de cálculo de cada

perfil. As terças do balanço e da cobertura elevada são em perfis soldados, portanto

foram verificadas baseadas na norma americana AISC/LRFD.


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VIII.2.a Terças da Cobertura

Foi utilizado o perfil em chapa dobrada U 300x85x25x4.75mm. As terças de

cobertura tem vão igual a 12.5m, com exceção das peças entre eixos 7 e 8 que

tem vão de 17.5m. Contudo, como nessas peças foram utilizadas mãos-francesas

em todos os pontos, as terças mais solicitadas estão entre os eixos 6 e 7, 8 e 9 que

não possuem mão-francesa e tem 12.5m de vão. Os resultados estão mostrados a

seguir:

TERÇA U 300x85x25x4.75mm Data: 11/1/2006 16:29:23 Full Section Properties ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Area 2321.6 mm^2 Wt. 0.17856 N/mm Width 488.77 mm

Ix 29530892 mm^4 rx 112.78 mm Ixy -2 mm^4Sx(t) 196873 mm^3 y(t) 150.00 mm α 0.000 deg Sx(b) 196873 mm^3 y(b) 150.00 mm

Height 300.00 mm Iy 1942100 mm^4 ry 28.92 mm Xo -52.98 mmSy(l) 88372 mm^3 x(l) 21.98 mm Yo 0.00 mmSy(r) 30815 mm^3 x(r) 63.02 mm jx 161.26 mm

Width 85.00 mm jy 0.00 mmI1 29530892 mm^4 r1 112.78 mm I2 1942101 mm^4 r2 28.92 mm Ic 31472994 mm^4 rc 116.43 mm Cw 3.3261e10 mm^6Io 37989244 mm^4 ro 127.92 mm J 17461 mm^4

Member Check - 2001 AISI Specification - US (LRFD) ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Design Parameters: Lx 12500 mm Ly 2500 mm Lt 2500 mmKx 1.0000 Ky 1.0000 Kt 1.0000 Cbx 1.0000 Cby 1.0000 ex 0.0000 mmCmx 1.0000 Cmy 1.0000 ey 0.0000 mmBraced Flange: Top Moment Reduction, R: 0.0000 Loads: P Mx Vy My Vx

(N) (N-m) (N) (N-m) (N)Atuante 0 45000 0 1500 0 Resistente 235983 56109 228242 8320 107217

Effective section properties at applied loads: Ae 2321.6 mm^2 Ixe 29530892 mm^4 Iye 1942100 mm^4

Sxe(t) 196873 mm^3 Sye(l) 88372 mm^3

Sxe(b) 196873 mm^3 Sye(r) 30815 mm^3

Verificações AISI Eq. C5.2.2-1 (P, Mx, My) 0.000 + 0.802 + 0.180 = 0.982 <= 1.0AISI Eq. C5.2.2-2 (P, Mx, My) 0.000 + 0.802 + 0.180 = 0.982 <= 1.0AISI Eq. C3.3.2-1 (Mx, Vy) 0.643 + 0.000 = 0.643 <= 1.0AISI Eq. C3.3.2-1 (My, Vx) 0.033 + 0.000 = 0.033 <= 1.0


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Para as demais terças, entre eixos 1 e 6 / 9 e 14 foi utilizado o perfil em chapa

dobrada U 300x85x25x3.00mm. Os resultados estão mostrados a seguir: TERÇA U 300x85x25x3.00 Data: 10/11/2006 10:15:02

Full Section Properties ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Area 1500.8 mm^2 Wt. 0.11543 N/mm Width 500.27 mm

Ix 19529324 mm^4 rx 114.07 mm Ixy -3 mm^4Sx(t) 130195 mm^3 y(t) 150.00 mm α 0.000 deg Sx(b) 130195 mm^3 y(b) 150.00 mm


Width 85.00 mm jy 0.00 mmI1 19529326 mm^4 r1 114.07 mm I2 1341588 mm^4 r2 29.90 mm Ic 20870912 mm^4 rc 117.93 mm Cw 2.3475e10 mm^6Io 25430740 mm^4 ro 130.17 mm J 4502 mm^4

Member Check - 2001 AISI Specification - US (LRFD) ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Design Parameters: Lx 12500 mm Ly 2500 mm Lt 2500 mmKx 1.0000 Ky 1.0000 Kt 1.0000 Cbx 1.0000 Cby 1.0000 ex 0.0000 mmCmx 1.0000 Cmy 1.0000 ey 0.0000 mm

Braced Flange: Top Moment Reduction, R: 0.0000 Loads: P Mx Vy My Vx

(N) (N-m) (N) (N-m) (N)Atuante 0 27147 0 1180 0 Resistente 128830 Effective section properties at applied loads: Ae 1500.8 mm^2 Ixe 19529324 mm^4 Iye 1341588 mm^4

Sxe(t) 130195 mm^3 Sye(l) 60950 mm^3

Sxe(b) 130195 mm^3 Sye(r) 21299 mm^3



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VIII.2.b Terças do Balanço e da Cobertura Elevada

A seguir estão mostradas as relações entre os esforços atuantes e os resistentes

das terças do balanço que são em perfis soldados VS 250x21, VS 300x23 e VS

300x27.

Figura 15 – Relação entre esforços atuante e resistente – Terças do Balanço

Figura 16 – Relação entre esforços atuante e resistente – Terças do Balanço


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Apesar de o limite de resistência ter sido ligeiramente ultrapassado em um pequeno trecho de

algumas terças, admitiu-se como aceitável o valor de 1.07 já que ocorre em uma combinação de

carga com temperatura.

VIII.2.c Mão-francesa da cobertura

Foi utilizado o perfil em chapa dobrada U 100x50x4.75mm para as mãos-

francesas da cobertura. A verificação está mostrada a seguir:

MÃO FRANCESA U 100x50x4.75 Data: 11/1/2006 17:35:52 Full Section Properties

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Area 875.82 mm^2 Wt. 0.067360 N/mm Width 184.38 mm

Ix 1301659 mm^4 rx 38.551 mm Ixy 0 mm^4Sx(t) 26033 mm^3 y(t) 50.000 mm α 0.000 deg Sx(b) 26033 mm^3 y(b) 50.000 mm


Width 50.000 mm jy 0.000 mmI1 1301659 mm^4 r1 38.551 mm I2 209981 mm^4 r2 15.484 mm Ic 1511640 mm^4 rc 41.545 mm Cw 308756960 mm^6Io 2344126 mm^4 ro 51.735 mm J 6586.9 mm^4

Member Check - 2001 AISI Specification - US (LRFD) ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Design Parameters: Lx 1700.0 mm Ly 1700.0 mm Lt 1700.0 mmKx 1.0000 Ky 1.0000 Kt 1.0000 Cbx 1.0000 Cby 1.0000 ex 0.0000 mmCmx 1.0000 Cmy 1.0000 ey 0.0000 mm

Braced Flange: None Moment Reduction, R: 0.0000 Loads: P Mx Vy My Vx

(N) (N-m) (N) (N-m) (N)Atuante 103000 0.0 0 0.0 0 Resistente 105077 6165.3 65792 1605.9 65792


Sxe(t) 26033 mm^3 Sye(l) 14290 mm^3

Sxe(b) 26033 mm^3 Sye(r) 5948 mm^3



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VIII.2.d Mão-francesa do balanço

Foi utilizado o perfil em chapa dobrada U 150x50x20x4.75mm para as mãos-

francesas do balanço. A verificação está mostrada a seguir:

MÃO FRANCESA U 150x60x20x4.75mm Data: 11/8/2006 17:56:45 Full Section Properties ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Area 1324.1 mm^2 Wt. 0.10184 N/mm Width 278.77 mm

Ix 4357331 mm^4 rx 57.364 mm Ixy 0 mm^4Sx(t) 58098 mm^3 y(t) 75.000 mm α 0.000 deg Sx(b) 58098 mm^3 y(b) 75.000 mm


Width 60.000 mm jy 0.000 mmI1 4357331 mm^4 r1 57.364 mm I2 585940 mm^4 r2 21.036 mm Ic 4943271 mm^4 rc 61.100 mm Cw 2.6232e09 mm^6Io 7399610 mm^4 ro 74.754 mm J 9958.7 mm^4

Member Check - 2001 AISI Specification - US (LRFD) ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ Design Parameters: Lx 2000.0 mm Ly 2000.0 mm Lt 2000.0 mmKx 1.0000 Ky 1.0000 Kt 1.0000 Cbx 1.0000 Cby 1.0000 ex 0.0000 mmCmx 1.0000 Cmy 1.0000 ey 0.0000 mm

Braced Flange: None Moment Reduction, R: 0.0000 Loads: P Mx Vy My Vx

(N) (N-m) (N) (N-m) (N)Atuante 184000 0 0 0 0 Resistente 191830 14027 106405 3868 66605


Sxe(t) 58098 mm^3 Sye(l) 30679 mm^3

Sxe(b) 58098 mm^3 Sye(r) 14326 mm^3



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VIII.3 Ligações

Para garantir uma maior agilidade e precisão na montagem da cobertura, foram

utilizadas ligações parafusadas em todas as emendas de vigas a serem realizadas em

campo. Para a fixação das vigas de cobertura nos pilares de concreto, foram utilizados

aparelhos de apoios com pinos fixados através de chumbadores nos pilares.

Para o cálculo das ligações foram extraídos os esforços máximos do modelo numérico

para cada ponto onde foram projetadas as emendas. O dimensionamento foi feito

seguindo recomendações do AISC através de uma planilha ou programa de cálculo

próprio. A seguir serão apresentados os dados de entrada e saída do programa ou as

formulações de cálculo.

VIII.3.a Ligação para perfis VS 700x96

Figura 17 – Ligação para perfis VS 700x96


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Memória de cálculo - PENGEC ---------------------------

Ligação Pilar/Viga Rígida, Parafusada, com chapa de cabeça:

Cliente: PLANORCON / GAUTAMA Obra: AEROPORTO MACAPÁ Descrição: VS700X96 Data: 9/1/2007 Dados de entrada ---------------- Altura da Viga: 700 mmLargura da viga: 320 mmEspessura da alma da viga: 6.35 mm Espessura da mesa da viga: 12.5 mm Material da viga: SAC_300 Altura da chapa: 900 mm Largura da chapa: 340 mm Distância do centro do furo até a face da mesa tracionada: 50 mm Perna da soda na mesa: 12 mm Perna da soda na alma: 6 mm Espessura da chapa: 22 mm Material da chapa: SAC_300 Número de parafusos na parte superior 4 mm Diâmetro dos parafusos 25 mm Material dos parafusos: ASTM_A325 Resistência da ligação ---------------------- Resistência a momento devido a Flexão da chapa 578 kN.m Resistência a corte devido a Solda da alma 656 kN Plastificação total da seção da viga 938 kN.m 25% acima do início da plastificação da seção da viga 1187 kN.m Tração dos parafusos (para o valor de corte apresentado) 626 kN.m Flexão da chapa 578 kN.m Solda das mesas 855 kN.m Corte nos parafusos (considerando ligação simétrica) 884 kN Solda da alma 656 kN Esforços atuantes majorados --------------------------- Momento: 450 kN.mCortante: 130 kN


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VIII.3.b Ligação para perfis VS 700x114



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Memória de cálculo - PENGEC ---------------------------

Ligação Pilar/Viga Rígida, Parafusada, com chapa de cabeça:

Cliente: GAUTAMA Obra: AEROPORTO MACAPÁ Descrição: VS700X114 Data: 9/1/2007 Dados de entrada ---------------- Altura da Viga: 700 Largura da viga: 320 Espessura da alma da viga: 6.35Espessura da mesa da viga: 16 Material da viga: SAC_300 Altura da chapa: 900 Largura da chapa: 340 Distância do centro do furo até a face da mesa tracionada: 50 Perna da soda na mesa: 16 Perna da soda na alma: 6 Espessura da chapa: 25 Material da chapa: SAC_300 Número de parafusos na parte superior 8 Diâmetro dos parafusos 25 Material dos parafusos: ASTM_A325 Resistência da ligação ---------------------- Resistência a momento devido a Flexão da chapa 781 kN.m Resistência a corte devido a Solda da alma 649 kN Plastificação total da seção da viga 1137 kN.m 25% acima do início da plastificação da seção da viga 1452 kN.m Tração dos parafusos (para o valor de corte apresentado) 1246 kN.m Flexão da chapa 781 kN.m Solda das mesas 1134 kN.m Corte nos parafusos (considerando ligação simétrica) 1768 kN Solda da alma 649 kN Esforços atuantes majorados --------------------------- Momento: 690 kN.mCortante: 170 kN


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VIII.3.c Ligação para perfis VS 750x108


Figura 20 – Parâmetros para formulação


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Seguindo o Steel Design Guide Series do AISC – “Flush and Extended Multiple-Row Moment End-Plate

Connections” considera-se a formulação abaixo para dimensionamento da ligação. Para

momentos fletores positivos são considerados apenas os parafusos superiores e considera-se

que os inferiores absorvem os esforços cortantes. Para momentos fletores negativos utiliza-se a

consideração inversa. Como nesse ponto têm-se momentos positivos e negativos, foi detalhada

uma ligação simétrica com a mesma quantidade de parafusos na parte superior e inferior. É

determinado o momento resistente

parafusos.

φ ⋅ M n em função da flexão da chapa ou da ruptura dos

Momento Resistente em função da flexão na chapa:


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VIII.3.d Ligação para perfis VS 1100x417


Figura 22 – Parâmetros para formulação


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- ANEXO 1 -

ESFORÇOS NO

TOPO DOS

PILARES DE CONCRETO

E NOS APOIOS I7 E I8


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AEROPORTO INTERNACIONAL DE MACAPÁ REAÇÕES NO TOPO DOS PILARES e APOIOS DOS EIXOS I7 e I8

Nó de Apoio Condição de

Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B1 C1 -5687 3107 42178 0 0 -2591 B1 C2 -7696 3830 52836 0 0 -3976 B1 C3 -664 -16808 6448 0 0 4223 B1 C4 -524 -16056 6242 0 0 4135 B1 C5 1436 -17839 -7804 0 0 5327 B1 C6 1577 -17087 -8010 0 0 5239 B1 C1+T -1445 -550 43052 0 0 -4355 B1 C2+T -3454 173 53709 0 0 -5741 B1 C3+T 3578 -20466 7321 0 0 2459 B1 C4+T 3719 -19713 7115 0 0 2370 B1 C5+T 5679 -21496 -6930 0 0 3562 B1 C6+T 5819 -20744 -7136 0 0 3474 B1 C1-T -9929 6764 41305 0 0 -827 B1 C2-T -11938 7487 51962 0 0 -2212 B1 C3-T -4907 -13151 5574 0 0 5987 B1 C4-T -4766 -12399 5368 0 0 5899 B1 C5-T -2806 -14182 -8678 0 0 7091 B1 C6-T -2666 -13429 -8884 0 0 7003 B1 C7 -5833 2652 41469 0 0 -2724 B1 C8 -5692 3404 41263 0 0 -2812 B1 C9 -3733 1622 27217 0 0 -1620 B1 C10 -3592 2374 27011 0 0 -1708 B1 C7+T -1591 -1005 42343 0 0 -4488 B1 C8+T -1450 -253 42137 0 0 -4577 B1 C9+T 510 -2036 28091 0 0 -3385 B1 C10+T 650 -1283 27885 0 0 -3473 B1 C7-T -10076 6309 40595 0 0 -960 B1 C8-T -9935 7061 40389 0 0 -1048 B1 C9-T -7975 5279 26344 0 0 144 B1 C10-T -7835 6031 26138 0 0 56 B2 C1 -5905 8663 111329 0 0 -3272 B2 C2 -7981 11976 149106 0 0 -4870 B2 C3 -679 -23371 -9290 0 0 4288 B2 C4 -538 -22578 -9560 0 0 4197 B2 C5 1499 -26650 -49921 0 0 5635 B2 C6 1640 -25856 -50191 0 0 5544 B2 C1+T -5395 6072 111937 0 0 -4718 B2 C2+T -7470 9385 149714 0 0 -6316 B2 C3+T -168 -25962 -8682 0 0 2843 B2 C4+T -27 -25169 -8952 0 0 2752 B2 C5+T 2010 -29241 -49313 0 0 4189 B2 C6+T 2150 -28447 -49583 0 0 4098 B2 C1-T -6416 11254 110721 0 0 -1827 B2 C2-T -8491 14567 148498 0 0 -3424 B2 C3-T -1190 -20780 -9898 0 0 5734 B2 C4-T -1049 -19987 -10168 0 0 5643 B2 C5-T 988 -24059 -50529 0 0 7080 B2 C6-T 1129 -23265 -50800 0 0 6989 B2 C7 -6051 8455 112335 0 0 -3403 B2 C8 -5910 9248 112065 0 0 -3494 B2 C9 -3873 5176 71703 0 0 -2057 B2 C10 -3732 5970 71433 0 0 -2148 B2 C7+T -5540 5864 112943 0 0 -4849


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B2 C8+T -5399 6657 112673 0 0 -4940 B2 C9+T -3362 2585 72312 0 0 -3502 B2 C10+T -3222 3379 72041 0 0 -3593 B2 C7-T -6562 11046 111727 0 0 -1958 B2 C8-T -6421 11839 111457 0 0 -2049 B2 C9-T -4384 7767 71095 0 0 -611 B2 C10-T -4243 8561 70825 0 0 -702 B3 C1 14671 154362 -136391 0 0 -11963 B3 C2 20791 171690 -158472 0 0 -16935 B3 C3 -32027 100529 -5433 0 0 12878 B3 C4 2108 403290 -235933 0 0 -5866 B3 C5 -37738 55145 36783 0 0 17529 B3 C6 -3603 357906 -193717 0 0 -1215 B3 C1+T 18183 151571 -204849 0 0 -13704 B3 C2+T 24303 168900 -226931 0 0 -18677 B3 C3+T -28514 97739 -73891 0 0 11137 B3 C4+T 5621 400500 -304392 0 0 -7608 B3 C5+T -34225 52355 -31675 0 0 15788 B3 C6+T -91 355116 -262176 0 0 -2956 B3 C1-T 11158 157152 -67933 0 0 -10222 B3 C2-T 17278 174481 -90014 0 0 -15194 B3 C3-T -35539 103319 63026 0 0 14619 B3 C4-T -1404 406080 -167475 0 0 -4125 B3 C5-T -41250 57936 105242 0 0 19271 B3 C6-T -7116 360697 -125259 0 0 527 B3 C7 -14087 -15762 -19333 0 0 2951 B3 C8 20048 286999 -249834 0 0 -15793 B3 C9 -19798 -61146 22883 0 0 7603 B3 C10 14337 241615 -207618 0 0 -11141 B3 C7+T -10574 -18552 -87792 0 0 1210 B3 C8+T 23560 284209 -318292 0 0 -17534 B3 C9+T -16285 -63936 -45576 0 0 5861 B3 C10+T 17849 238825 -276076 0 0 -12883 B3 C7-T -17599 -12971 49125 0 0 4693 B3 C8-T 16536 289790 -181375 0 0 -14051 B3 C9-T -23310 -58355 91341 0 0 9344 B3 C10-T 10824 244406 -139159 0 0 -9400 B4 C1 -4070 316163 -294766 0 0 546 B4 C2 -5361 387139 -369950 0 0 265 B4 C3 567 17308 42246 0 0 -779 B4 C4 -1641 830312 -608016 0 0 5459 B4 C5 2024 -86736 142064 0 0 -833 B4 C6 -184 726268 -508198 0 0 5405 B4 C1+T -105 311120 -364933 0 0 -1187 B4 C2+T -1396 382097 -440117 0 0 -1467 B4 C3+T 4532 12265 -27921 0 0 -2511 B4 C4+T 2324 825269 -678183 0 0 3726 B4 C5+T 5989 -91778 71897 0 0 -2565 B4 C6+T 3781 721226 -578365 0 0 3672 B4 C1-T -8034 321205 -224599 0 0 2278 B4 C2-T -9325 392181 -299784 0 0 1998 B4 C3-T -3397 22350 112412 0 0 954 B4 C4-T -5605 835354 -537850 0 0 7191


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B4 C5-T -1940 -81693 212231 0 0 900 B4 C6-T -4148 731311 -438031 0 0 7138 B4 C7 -2062 -123300 28352 0 0 -4293 B4 C8 -4270 689704 -621910 0 0 1944 B4 C9 -605 -227344 128171 0 0 -4347 B4 C10 -2813 585660 -522091 0 0 1891 B4 C7+T 1902 -128343 -41815 0 0 -6026 B4 C8+T -306 684661 -692077 0 0 212 B4 C9+T 3359 -232386 58004 0 0 -6080 B4 C10+T 1151 580618 -592258 0 0 158 B4 C7-T -6027 -118258 98519 0 0 -2561 B4 C8-T -8235 694746 -551743 0 0 3677 B4 C9-T -4570 -222301 198337 0 0 -2615 B4 C10-T -6777 590703 -451925 0 0 3623 B5 C1 -784 325354 -299782 0 0 4157 B5 C2 -787 399520 -376672 0 0 5539 B5 C3 -3571 17278 44776 0 0 1055 B5 C4 -82 848450 -620142 0 0 -3510 B5 C5 -3367 -90142 146426 0 0 -454 B5 C6 122 741030 -518492 0 0 -5019 B5 C1+T -610 322419 -369029 0 0 3729 B5 C2+T -613 396585 -445919 0 0 5111 B5 C3+T -3398 14343 -24471 0 0 626 B5 C4+T 91 845515 -689390 0 0 -3939 B5 C5+T -3194 -93077 77179 0 0 -882 B5 C6+T 295 738095 -587740 0 0 -5447 B5 C1-T -957 328289 -230534 0 0 4586 B5 C2-T -960 402455 -307424 0 0 5968 B5 C3-T -3745 20213 114024 0 0 1483 B5 C4-T -256 851385 -550895 0 0 -3082 B5 C5-T -3541 -87207 215674 0 0 -25 B5 C6-T -52 743965 -449245 0 0 -4590 B5 C7 -3403 -123452 30829 0 0 7982 B5 C8 86 707721 -634089 0 0 3417 B5 C9 -3199 -230872 132479 0 0 6474 B5 C10 290 600300 -532439 0 0 1909 B5 C7+T -3230 -126387 -38418 0 0 7554 B5 C8+T 259 704786 -703337 0 0 2989 B5 C9+T -3026 -233807 63232 0 0 6045 B5 C10+T 463 597365 -601686 0 0 1480 B5 C7-T -3577 -120517 100077 0 0 8410 B5 C8-T -88 710655 -564842 0 0 3845 B5 C9-T -3373 -227937 201727 0 0 6902 B5 C10-T 116 603235 -463192 0 0 2337 B6 C1 -17403 243857 -204060 0 0 15947 B6 C2 -24251 293517 -248749 0 0 21827 B6 C3 30330 51919 13745 0 0 -13029 B6 C4 -3071 604062 -411533 0 0 7521 B6 C5 36976 -26741 80548 0 0 -18996 B6 C6 3576 525402 -344730 0 0 1555 B6 C1+T -18583 244788 -273186 0 0 16136 B6 C2+T -25432 294448 -317875 0 0 22015 B6 C3+T 29150 52850 -55381 0 0 -12841


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AEROPORTO INTERNACIONAL DE MACAPÁ

REAÇÕES NO TOPO DOS PILARES e APOIOS DOS EIXOS I7 e I8


Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B6 C4+T -4251 604993 -480659 0 0 7709 B6 C5+T 35796 -25810 11422 0 0 -18807 B6 C6+T 2395 526333 -413856 0 0 1743 B6 C1-T -16223 242926 -134935 0 0 15759 B6 C2-T -23071 292586 -179623 0 0 21638 B6 C3-T 31510 50988 82871 0 0 -13217 B6 C4-T -1890 603131 -342407 0 0 7333 B6 C5-T 38157 -27672 149673 0 0 -19184 B6 C6-T 4756 524471 -275605 0 0 1366 B6 C7 11003 -56906 7250 0 0 -41 B6 C8 -22398 495236 -418028 0 0 20509 B6 C9 17649 -135567 74052 0 0 -6008 B6 C10 -15752 416576 -351226 0 0 14542 B6 C7+T 9822 -55975 -61876 0 0 147 B6 C8+T -23578 496168 -487154 0 0 20697 B6 C9+T 16468 -134636 4926 0 0 -5819 B6 C10+T -16932 417507 -420352 0 0 14731 B6 C7-T 12183 -57838 76376 0 0 -230 B6 C8-T -21218 494305 -348902 0 0 20321 B6 C9-T 18829 -136498 143178 0 0 -6196 B6 C10-T -14571 415645 -282100 0 0 14354 B7 C1 10466 272528 -444336 0 0 -4538 B7 C2 15026 331767 -564873 0 0 -6422 B7 C3 29633 -72902 51613 0 0 -9133 B7 C4 38933 921716 -758289 0 0 -12834 B7 C5 25498 -161979 204332 0 0 -7369 B7 C6 34798 832639 -605570 0 0 -11070 B7 C1+T 11883 306537 -503758 0 0 -5995 B7 C2+T 16444 365777 -624294 0 0 -7879 B7 C3+T 31051 -38892 -7809 0 0 -10590 B7 C4+T 40350 955726 -817710 0 0 -14291 B7 C5+T 26916 -127969 144910 0 0 -8826 B7 C6+T 36216 866649 -664991 0 0 -12527 B7 C1-T 9048 238518 -384915 0 0 -3082 B7 C2-T 13608 297757 -505451 0 0 -4965 B7 C3-T 28215 -106911 111034 0 0 -7676 B7 C4-T 37515 887707 -698867 0 0 -11377 B7 C5-T 24080 -195989 263753 0 0 -5913 B7 C6-T 33380 798629 -546148 0 0 -9613 B7 C7 2843 -261977 -44176 0 0 -1547 B7 C8 12143 732641 -854077 0 0 -5248 B7 C9 -1292 -351054 108543 0 0 216 B7 C10 8008 643564 -701358 0 0 -3484 B7 C7+T 4261 -227967 -103597 0 0 -3004 B7 C8+T 13560 766651 -913498 0 0 -6705 B7 C9+T 126 -317044 49122 0 0 -1240 B7 C10+T 9425 677574 -760779 0 0 -4941 B7 C7-T 1425 -295986 15246 0 0 -90 B7 C8-T 10725 698632 -794655 0 0 -3791 B7 C9-T -2710 -385064 167965 0 0 1673 B7 C10-T 6590 609554 -641936 0 0 -2028 B8 C1 -10466 272528 -444337 0 0 4538 B8 C2 -15026 331767 -564873 0 0 6421


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B8 C3 -29633 -72902 51613 0 0 9133 B8 C4 -38933 921716 -758289 0 0 12834 B8 C5 -25498 -161979 204332 0 0 7369 B8 C6 -34798 832639 -605570 0 0 11070 B8 C1+T -11883 306533 -503759 0 0 5994 B8 C2+T -16443 365773 -624295 0 0 7877 B8 C3+T -31050 -38896 -7809 0 0 10588 B8 C4+T -40350 955722 -817711 0 0 14289 B8 C5+T -26915 -127973 144910 0 0 8825 B8 C6+T -36215 866645 -664992 0 0 12525 B8 C1-T -9048 238522 -384914 0 0 3083 B8 C2-T -13608 297761 -505451 0 0 4966 B8 C3-T -28216 -106907 111035 0 0 7678 B8 C4-T -37515 887711 -698867 0 0 11379 B8 C5-T -24081 -195985 263754 0 0 5914 B8 C6-T -33381 798633 -546148 0 0 9615 B8 C7 -2843 -261977 -44176 0 0 1547 B8 C8 -12143 732642 -854077 0 0 5248 B8 C9 1292 -351054 108543 0 0 -217 B8 C10 -8008 643564 -701358 0 0 3484 B8 C7+T -4260 -227971 -103598 0 0 3002 B8 C8+T -13560 766647 -913499 0 0 6703 B8 C9+T -125 -317048 49121 0 0 1239 B8 C10+T -9425 677570 -760780 0 0 4939 B8 C7-T -1425 -295982 15246 0 0 92 B8 C8-T -10725 698636 -794655 0 0 3792 B8 C9-T 2709 -385060 167965 0 0 -1672 B8 C10-T -6590 609558 -641936 0 0 2029 B9 C1 17403 243857 -204060 0 0 -15948 B9 C2 24251 293517 -248749 0 0 -21827 B9 C3 -30330 51919 13745 0 0 13029 B9 C4 3071 604062 -411533 0 0 -7521 B9 C5 -36976 -26741 80548 0 0 18996 B9 C6 -3576 525402 -344730 0 0 -1555 B9 C1+T 18583 244790 -273186 0 0 -16136 B9 C2+T 25432 294450 -317875 0 0 -22015 B9 C3+T -29149 52853 -55380 0 0 12841 B9 C4+T 4251 604995 -480658 0 0 -7709 B9 C5+T -35796 -25808 11422 0 0 18807 B9 C6+T -2395 526335 -413856 0 0 -1743 B9 C1-T 16223 242924 -134935 0 0 -15760 B9 C2-T 23071 292584 -179624 0 0 -21639 B9 C3-T -31510 50986 82871 0 0 13217 B9 C4-T 1890 603129 -342407 0 0 -7333 B9 C5-T -38156 -27674 149673 0 0 19184 B9 C6-T -4756 524469 -275605 0 0 -1367 B9 C7 -11003 -56907 7250 0 0 41 B9 C8 22398 495236 -418028 0 0 -20509 B9 C9 -17649 -135567 74052 0 0 6008 B9 C10 15752 416576 -351226 0 0 -14543 B9 C7+T -9822 -55973 -61876 0 0 -147 B9 C8+T 23578 496170 -487154 0 0 -20697 B9 C9+T -16468 -134634 4926 0 0 5820


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

B9 C10+T 16932 417509 -420351 0 0 -14731 B9 C7-T -12183 -57840 76375 0 0 229 B9 C8-T 21218 494303 -348903 0 0 -20321 B9 C9-T -18829 -136500 143177 0 0 6196 B9 C10-T 14571 415643 -282100 0 0 -14354 B10 C1 784 325354 -299782 0 0 -4157 B10 C2 787 399520 -376672 0 0 -5540 B10 C3 3571 17278 44776 0 0 -1055 B10 C4 82 848450 -620142 0 0 3510 B10 C5 3367 -90142 146426 0 0 454 B10 C6 -122 741030 -518492 0 0 5018 B10 C1+T 610 322420 -369029 0 0 -3729 B10 C2+T 613 396586 -445919 0 0 -5111 B10 C3+T 3398 14344 -24471 0 0 -626 B10 C4+T -91 845516 -689389 0 0 3939 B10 C5+T 3194 -93076 77179 0 0 882 B10 C6+T -295 738096 -587739 0 0 5447 B10 C1-T 957 328288 -230534 0 0 -4586 B10 C2-T 961 402453 -307425 0 0 -5968 B10 C3-T 3745 20212 114023 0 0 -1483 B10 C4-T 256 851384 -550895 0 0 3081 B10 C5-T 3541 -87208 215674 0 0 25 B10 C6-T 52 743964 -449245 0 0 4590 B10 C7 3403 -123452 30829 0 0 -7982 B10 C8 -86 707721 -634089 0 0 -3417 B10 C9 3199 -230872 132479 0 0 -6474 B10 C10 -290 600300 -532439 0 0 -1909 B10 C7+T 3230 -126385 -38418 0 0 -7553 B10 C8+T -259 704787 -703336 0 0 -2989 B10 C9+T 3026 -233806 63232 0 0 -6045 B10 C10+T -463 597367 -601686 0 0 -1480 B10 C7-T 3577 -120518 100076 0 0 -8411 B10 C8-T 88 710654 -564842 0 0 -3846 B10 C9-T 3373 -227938 201727 0 0 -6902 B10 C10-T -116 603234 -463192 0 0 -2337 B11 C1 4070 316163 -294766 0 0 -546 B11 C2 5361 387139 -369950 0 0 -265 B11 C3 -567 17308 42246 0 0 779 B11 C4 1641 830312 -608016 0 0 -5459 B11 C5 -2024 -86736 142064 0 0 832 B11 C6 184 726268 -508198 0 0 -5405 B11 C1+T 105 311120 -364933 0 0 1187 B11 C2+T 1396 382096 -440117 0 0 1467 B11 C3+T -4531 12265 -27921 0 0 2511 B11 C4+T -2324 825269 -678183 0 0 -3726 B11 C5+T -5989 -91778 71897 0 0 2565 B11 C6+T -3781 721225 -578365 0 0 -3672 B11 C1-T 8035 321205 -224599 0 0 -2279 B11 C2-T 9326 392182 -299783 0 0 -1998 B11 C3-T 3398 22350 112413 0 0 -954 B11 C4-T 5606 835354 -537849 0 0 -7192 B11 C5-T 1940 -81693 212231 0 0 -900 B11 C6-T 4148 731311 -438031 0 0 -7138


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

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Carga

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My (N.m)

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Carga

Fx (N)

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My (N.m)

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Carga

Fx (N)

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My (N.m)

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Carga

Fx (N)

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My (N.m)

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Carga

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Carga

Fx (N)

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My (N.m)

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Carga

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My (N.m)

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My (N.m)

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H12 C10-T -932 -3087 77729 0 0 -17 H13 C1 7403 5354 162608 0 0 -1653 H13 C2 7170 5809 192311 0 0 -1161 H13 C3 18002 -46846 15653 0 0 -6650 H13 C4 17753 -47136 15621 0 0 -6407 H13 C5 16158 -48375 -35733 0 0 -6376 H13 C6 15909 -48665 -35765 0 0 -6132 H13 C1+T 7249 6393 162470 0 0 -3957 H13 C2+T 7016 6848 192174 0 0 -3465 H13 C3+T 17848 -45808 15516 0 0 -8954 H13 C4+T 17599 -46098 15483 0 0 -8711 H13 C5+T 16004 -47336 -35870 0 0 -8680 H13 C6+T 15755 -47626 -35903 0 0 -8436 H13 C1-T 7557 4315 162746 0 0 651 H13 C2-T 7324 4770 192449 0 0 1143 H13 C3-T 18156 -47885 15791 0 0 -4346 H13 C4-T 17907 -48175 15759 0 0 -4103 H13 C5-T 16312 -49414 -35595 0 0 -4072 H13 C6-T 16063 -49704 -35628 0 0 -3828 H13 C7 6728 5123 155936 0 0 -1462 H13 C8 6479 4833 155903 0 0 -1219 H13 C9 4884 3595 104549 0 0 -1188 H13 C10 4635 3305 104517 0 0 -945 H13 C7+T 6574 6162 155798 0 0 -3766 H13 C8+T 6325 5872 155766 0 0 -3523 H13 C9+T 4730 4633 104412 0 0 -3492 H13 C10+T 4481 4343 104379 0 0 -3249 H13 C7-T 6882 4084 156073 0 0 842 H13 C8-T 6633 3794 156041 0 0 1085 H13 C9-T 5038 2556 104687 0 0 1116 H13 C10-T 4789 2266 104655 0 0 1359 H14 C1 2770 3524 70408 0 0 -2047 H14 C2 3026 2545 77230 0 0 -1716 H14 C3 13125 -33988 20559 0 0 -1385 H14 C4 13080 -33423 20509 0 0 -1496 H14 C5 12328 -34594 197 0 0 -959 H14 C6 12283 -34029 147 0 0 -1070 H14 C1+T 2747 2573 70421 0 0 -3255 H14 C2+T 3003 1594 77243 0 0 -2924 H14 C3+T 13103 -34939 20572 0 0 -2594 H14 C4+T 13058 -34374 20522 0 0 -2705 H14 C5+T 12306 -35545 209 0 0 -2167 H14 C6+T 12261 -34981 160 0 0 -2278 H14 C1-T 2793 4476 70396 0 0 -838 H14 C2-T 3048 3496 77217 0 0 -507 H14 C3-T 13148 -33036 20546 0 0 -177 H14 C4-T 13103 -32472 20496 0 0 -288 H14 C5-T 12351 -33643 184 0 0 250 H14 C6-T 12306 -33078 134 0 0 139 H14 C7 2602 2591 65650 0 0 -1682 H14 C8 2557 3155 65600 0 0 -1793 H14 C9 1805 1984 45288 0 0 -1256 H14 C10 1760 2549 45238 0 0 -1367


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

H14 C7+T 2579 1639 65663 0 0 -2891 H14 C8+T 2534 2204 65613 0 0 -3002 H14 C9+T 1782 1033 45301 0 0 -2464 H14 C10+T 1737 1598 45251 0 0 -2575 H14 C7-T 2624 3542 65637 0 0 -474 H14 C8-T 2579 4107 65587 0 0 -585 H14 C9-T 1827 2935 45275 0 0 -47 H14 C10-T 1782 3500 45225 0 0 -158 I7 C1 292 -227357 355977 0 0 0 I7 C2 372 -288146 450293 0 0 0 I7 C3 75 -72147 78292 0 0 0 I7 C4 3 -10731 -7849 0 0 0 I7 C5 -26 5719 -43354 0 0 0 I7 C6 -98 67134 -129495 0 0 0 I7 C1+T 56964 -394935 586565 0 0 0 I7 C2+T 57044 -455724 680881 0 0 0 I7 C3+T 56746 -239725 308880 0 0 0 I7 C4+T 56674 -178309 222739 0 0 0 I7 C5+T 56646 -161859 187234 0 0 0 I7 C6+T 56574 -100443 101093 0 0 0 I7 C1-T -56380 -59780 125388 0 0 0 I7 C2-T -56299 -120568 219704 0 0 0 I7 C3-T -56597 95431 -152297 0 0 0 I7 C4-T -56669 156846 -238438 0 0 0 I7 C5-T -56698 173296 -273943 0 0 0 I7 C6-T -56770 234712 -360084 0 0 0 I7 C7 328 -258003 398119 0 0 0 I7 C8 256 -196587 311978 0 0 0 I7 C9 228 -180137 276473 0 0 0 I7 C10 155 -118721 190332 0 0 0 I7 C7+T 57000 -425581 628708 0 0 0 I7 C8+T 56928 -364165 542567 0 0 0 I7 C9+T 56899 -347715 507061 0 0 0 I7 C10+T 56827 -286299 420920 0 0 0 I7 C7-T -56344 -90425 167531 0 0 0 I7 C8-T -56416 -29009 81390 0 0 0 I7 C9-T -56444 -12559 45884 0 0 0 I7 C10-T -56516 48856 -40257 0 0 0 I8 C1 -292 -227358 355977 0 0 0 I8 C2 -372 -288146 450293 0 0 0 I8 C3 -75 -72147 78292 0 0 0 I8 C4 -3 -10731 -7849 0 0 0 I8 C5 26 5719 -43354 0 0 0 I8 C6 98 67134 -129495 0 0 0 I8 C1+T -56964 -394935 586565 0 0 0 I8 C2+T -57044 -455724 680881 0 0 0 I8 C3+T -56747 -239725 308880 0 0 0 I8 C4+T -56675 -178309 222739 0 0 0 I8 C5+T -56646 -161859 187234 0 0 0 I8 C6+T -56574 -100443 101093 0 0 0 I8 C1-T 56380 -59780 125389 0 0 0 I8 C2-T 56300 -120569 219705 0 0 0 I8 C3-T 56597 95430 -152296 0 0 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

I8 C4-T 56669 156846 -238437 0 0 0 I8 C5-T 56698 173296 -273942 0 0 0 I8 C6-T 56770 234712 -360083 0 0 0 I8 C7 -328 -258003 398119 0 0 0 I8 C8 -256 -196587 311978 0 0 0 I8 C9 -228 -180137 276473 0 0 0 I8 C10 -156 -118721 190332 0 0 0 I8 C7+T -57000 -425581 628707 0 0 0 I8 C8+T -56928 -364165 542566 0 0 0 I8 C9+T -56899 -347715 507061 0 0 0 I8 C10+T -56827 -286299 420920 0 0 0 I8 C7-T 56344 -90426 167531 0 0 0 I8 C8-T 56416 -29010 81390 0 0 0 I8 C9-T 56444 -12560 45885 0 0 0 I8 C10-T 56516 48856 -40256 0 0 0


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- ANEXO 2 -

REAÇÕES

NOS

PILARES PÓRTICO

(EL. -0.7m)


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REAÇÕES NA BASE DOS PILARES PÓTICOS (El. -0.7m)


Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-B3 C1 -3822 59464 579965 0 -804 0 AP-B3 C2 -5344 73603 657613 0 -169 0 AP-B3 C3 -3228 120956 411499 0 -13603 0 AP-B3 C4 4866 139017 1241703 0 4378 0 AP-B3 C5 -1763 101141 237064 0 -13593 0 AP-B3 C6 6331 119201 1067268 0 4387 0 AP-B3 C1+T 50100 64677 654251 0 210623 0 AP-B3 C2+T 48579 78815 731899 0 211258 0 AP-B3 C3+T 50695 126168 485785 0 197824 0 AP-B3 C4+T 58788 144229 1315989 0 215805 0 AP-B3 C5+T 52160 106353 311350 0 197834 0 AP-B3 C6+T 60254 124414 1141554 0 215814 0 AP-B3 C1-T -57745 54252 505679 0 -212231 0 AP-B3 C2-T -59266 68390 583327 0 -211596 0 AP-B3 C3-T -57150 115744 337213 0 -225030 0 AP-B3 C4-T -49057 133804 1167417 0 -207050 0 AP-B3 C5-T -55685 95929 162778 0 -225020 0 AP-B3 C6-T -47591 113989 992982 0 -207040 0 AP-B3 C7 -9780 44141 79302 0 -13836 0 AP-B3 C8 -1686 62201 909506 0 4145 0 AP-B3 C9 -8315 24326 -95133 0 -13826 0 AP-B3 C10 -221 42386 735071 0 4154 0 AP-B3 C7+T 44143 49353 153588 0 197591 0 AP-B3 C8+T 52237 67414 983792 0 215572 0 AP-B3 C9+T 45608 29538 -20847 0 197601 0 AP-B3 C10+T 53702 47598 809357 0 215581 0 AP-B3 C7-T -63702 38929 5016 0 -225263 0 AP-B3 C8-T -55608 56989 835220 0 -207282 0 AP-B3 C9-T -62237 19114 -169419 0 -225253 0 AP-B3 C10-T -54143 37174 660785 0 -207273 0 AP-B4 C1 -5950 74773 1095503 0 1636 0 AP-B4 C2 -8275 94513 1348732 0 3361 0 AP-B4 C3 -1493 93520 104317 0 -13005 0 AP-B4 C4 2989 154390 2415551 0 -545 0 AP-B4 C5 775 67990 -258474 0 -13968 0 AP-B4 C6 5256 128860 2052760 0 -1507 0 AP-B4 C1+T 13446 74951 1154509 0 74834 0 AP-B4 C2+T 11120 94691 1407739 0 76559 0 AP-B4 C3+T 17903 93698 163324 0 60193 0 AP-B4 C4+T 22384 154568 2474558 0 72653 0 AP-B4 C5+T 20170 68168 -199468 0 59230 0 AP-B4 C6+T 24652 129038 2111766 0 71691 0 AP-B4 C1-T -25345 74595 1036496 0 -71562 0 AP-B4 C2-T -27671 94335 1289726 0 -69837 0 AP-B4 C3-T -20888 93342 45311 0 -86203 0 AP-B4 C4-T -16407 154212 2356545 0 -73743 0 AP-B4 C5-T -18621 67812 -317481 0 -87166 0 AP-B4 C6-T -14139 128682 1993753 0 -74705 0 AP-B4 C7 -9111 29306 -239702 0 -7033 0 AP-B4 C8 -4629 90176 2071532 0 5427 0 AP-B4 C9 -6844 3776 -602494 0 -7996 0 AP-B4 C10 -2362 64646 1708740 0 4464 0 AP-B4 C7+T 10285 29484 -180696 0 66165 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-B4 C8+T 14766 90354 2130538 0 78625 0 AP-B4 C9+T 12552 3955 -543487 0 65202 0 AP-B4 C10+T 17033 64825 1767747 0 77662 0 AP-B4 C7-T -28506 29128 -298709 0 -80231 0 AP-B4 C8-T -24025 89998 2012525 0 -67771 0 AP-B4 C9-T -26239 3598 -661500 0 -81194 0 AP-B4 C10-T -21758 64468 1649734 0 -68734 0 AP-B5 C1 2684 77087 1117366 0 -21071 0 AP-B5 C2 3962 97597 1378093 0 -28209 0 AP-B5 C3 -2791 97752 111055 0 -311 0 AP-B5 C4 -4294 157671 2459462 0 -6474 0 AP-B5 C5 -3885 71383 -259740 0 7376 0 AP-B5 C6 -5389 131301 2088667 0 1212 0 AP-B5 C1+T -12332 81838 1188656 0 -76191 0 AP-B5 C2+T -11054 102347 1449383 0 -83329 0 AP-B5 C3+T -17806 102503 182345 0 -55431 0 AP-B5 C4+T -19310 162421 2530751 0 -61594 0 AP-B5 C5+T -18900 76133 -188451 0 -47744 0 AP-B5 C6+T -20404 136052 2159956 0 -53907 0 AP-B5 C1-T 17699 72337 1046077 0 34049 0 AP-B5 C2-T 18977 92846 1306804 0 26910 0 AP-B5 C3-T 12224 93002 39766 0 54809 0 AP-B5 C4-T 10721 152920 2388172 0 48645 0 AP-B5 C5-T 11130 66632 -331029 0 62495 0 AP-B5 C6-T 9627 126551 2017377 0 56332 0 AP-B5 C7 4305 32104 -236881 0 -15422 0 AP-B5 C8 2802 92022 2111525 0 -21585 0 AP-B5 C9 3211 5735 -607676 0 -7735 0 AP-B5 C10 1708 65653 1740730 0 -13898 0 AP-B5 C7+T -10710 36854 -165592 0 -70541 0 AP-B5 C8+T -12213 96773 2182815 0 -76705 0 AP-B5 C9+T -11804 10485 -536387 0 -62855 0 AP-B5 C10+T -13308 70403 1812019 0 -69018 0 AP-B5 C7-T 19321 27353 -308170 0 39698 0 AP-B5 C8-T 17817 87272 2040236 0 33535 0 AP-B5 C9-T 18227 984 -678966 0 47385 0 AP-B5 C10-T 16723 60902 1669441 0 41222 0 AP-B6 C1 562 60758 834134 0 -18725 0 AP-B6 C2 1036 75946 1003907 0 -24801 0 AP-B6 C3 -1052 97581 229324 0 255 0 AP-B6 C4 -6173 138723 1776027 0 -11425 0 AP-B6 C5 -1346 77102 -39711 0 7002 0 AP-B6 C6 -6466 118244 1506992 0 -4678 0 AP-B6 C1+T -48989 69284 920271 0 -212017 0 AP-B6 C2+T -48515 84472 1090044 0 -218093 0 AP-B6 C3+T -50603 106106 315460 0 -193037 0 AP-B6 C4+T -55724 147248 1862164 0 -204717 0 AP-B6 C5+T -50897 85628 46425 0 -186290 0 AP-B6 C6+T -56017 126770 1593129 0 -197970 0 AP-B6 C1-T 50113 52233 747998 0 174567 0 AP-B6 C2-T 50587 67420 917771 0 168491 0 AP-B6 C3-T 48499 89055 143188 0 193547 0 AP-B6 C4-T 43378 130197 1689891 0 181867 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-B6 C5-T 48205 68577 -125848 0 200294 0 AP-B6 C6-T 43084 109719 1420856 0 188615 0 AP-B6 C7 4982 29952 -65885 0 -8715 0 AP-B6 C8 -139 71094 1480819 0 -20395 0 AP-B6 C9 4688 9474 -334920 0 -1968 0 AP-B6 C10 -432 50616 1211784 0 -13647 0 AP-B6 C7+T -44569 38478 20252 0 -202007 0 AP-B6 C8+T -49690 79620 1566955 0 -213687 0 AP-B6 C9+T -44862 18000 -248783 0 -195260 0 AP-B6 C10+T -49983 59142 1297920 0 -206940 0 AP-B6 C7-T 54533 21427 -152021 0 184577 0 AP-B6 C8-T 49412 62569 1394683 0 172898 0 AP-B6 C9-T 54239 949 -421056 0 191324 0 AP-B6 C10-T 49119 42091 1125647 0 179645 0 AP-B7 C1 152 292484 1491673 0 6078 0 AP-B7 C2 157 370174 1855784 0 8119 0 AP-B7 C3 -1571 88119 -85618 0 -8005 0 AP-B7 C4 5142 164683 2788932 0 4102 0 AP-B7 C5 -1612 -11891 -585640 0 -10216 0 AP-B7 C6 5101 64672 2288910 0 1891 0 AP-B7 C1+T 23461 345899 1717306 0 113337 0 AP-B7 C2+T 23465 423588 2081417 0 115378 0 AP-B7 C3+T 21738 141533 140015 0 99255 0 AP-B7 C4+T 28450 218097 3014565 0 111362 0 AP-B7 C5+T 21697 41523 -360007 0 97043 0 AP-B7 C6+T 28409 118086 2514543 0 109150 0 AP-B7 C1-T -23156 239070 1266040 0 -101181 0 AP-B7 C2-T -23152 316760 1630151 0 -99140 0 AP-B7 C3-T -24879 34705 -311251 0 -115264 0 AP-B7 C4-T -18167 111269 2563299 0 -103157 0 AP-B7 C5-T -24920 -65306 -811273 0 -117475 0 AP-B7 C6-T -18208 11258 2063277 0 -105368 0 AP-B7 C7 -5059 232806 -164195 0 -3488 0 AP-B7 C8 1654 309370 2710355 0 8619 0 AP-B7 C9 -5100 132796 -664216 0 -5700 0 AP-B7 C10 1613 209359 2210333 0 6407 0 AP-B7 C7+T 18250 286221 61438 0 103771 0 AP-B7 C8+T 24962 362784 2935988 0 115878 0 AP-B7 C9+T 18209 186210 -438583 0 101559 0 AP-B7 C10+T 24921 262773 2435966 0 113667 0 AP-B7 C7-T -28367 179392 -389828 0 -110747 0 AP-B7 C8-T -21655 255956 2484722 0 -98640 0 AP-B7 C9-T -28408 79382 -889849 0 -112959 0 AP-B7 C10-T -21696 155945 1984700 0 -100852 0 AP-B8 C1 -153 292485 1491674 0 -6078 0 AP-B8 C2 -157 370174 1855785 0 -8119 0 AP-B8 C3 1571 88119 -85618 0 8005 0 AP-B8 C4 -5142 164683 2788932 0 -4102 0 AP-B8 C5 1612 -11891 -585640 0 10216 0 AP-B8 C6 -5101 64672 2288911 0 -1891 0 AP-B8 C1+T -23462 345891 1717285 0 -113337 0 AP-B8 C2+T -23467 423581 2081396 0 -115377 0 AP-B8 C3+T -21739 141526 139993 0 -99254 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-B8 C4+T -28451 218089 3014544 0 -111361 0 AP-B8 C5+T -21698 41515 -360028 0 -97042 0 AP-B8 C6+T -28410 118079 2514522 0 -109150 0 AP-B8 C1-T 23157 239078 1266062 0 101181 0 AP-B8 C2-T 23152 316768 1630174 0 99140 0 AP-B8 C3-T 24880 34713 -311229 0 115263 0 AP-B8 C4-T 18168 111277 2563321 0 103156 0 AP-B8 C5-T 24921 -65298 -811251 0 117475 0 AP-B8 C6-T 18209 11266 2063299 0 105368 0 AP-B8 C7 5059 232807 -164195 0 3488 0 AP-B8 C8 -1654 309370 2710356 0 -8619 0 AP-B8 C9 5100 132796 -664216 0 5700 0 AP-B8 C10 -1613 209359 2210334 0 -6407 0 AP-B8 C7+T -18251 286213 61417 0 -103770 0 AP-B8 C8+T -24963 362776 2935967 0 -115877 0 AP-B8 C9+T -18210 186202 -438605 0 -101559 0 AP-B8 C10+T -24922 262766 2435946 0 -113666 0 AP-B8 C7-T 28368 179400 -389806 0 110747 0 AP-B8 C8-T 21655 255964 2484745 0 98640 0 AP-B8 C9-T 28409 79390 -889828 0 112958 0 AP-B8 C10-T 21696 155953 1984723 0 100851 0 AP-B9 C1 -562 60760 834138 0 18726 0 AP-B9 C2 -1036 75949 1003914 0 24801 0 AP-B9 C3 1052 97580 229321 0 -255 0 AP-B9 C4 6173 138727 1776039 0 11427 0 AP-B9 C5 1346 77101 -39716 0 -7002 0 AP-B9 C6 6467 118248 1507002 0 4679 0 AP-B9 C1+T 48989 69289 920285 0 212017 0 AP-B9 C2+T 48515 84478 1090062 0 218093 0 AP-B9 C3+T 50603 106109 315469 0 193037 0 AP-B9 C4+T 55724 147256 1862187 0 204718 0 AP-B9 C5+T 50897 85630 46432 0 186289 0 AP-B9 C6+T 56018 126777 1593150 0 197971 0 AP-B9 C1-T -50113 52230 747990 0 -174566 0 AP-B9 C2-T -50587 67419 917767 0 -168490 0 AP-B9 C3-T -48499 89050 143174 0 -193546 0 AP-B9 C4-T -43378 130197 1689892 0 -181865 0 AP-B9 C5-T -48205 68571 -125863 0 -200294 0 AP-B9 C6-T -43084 109718 1420854 0 -188612 0 AP-B9 C7 -4982 29951 -65887 0 8714 0 AP-B9 C8 139 71098 1480830 0 20396 0 AP-B9 C9 -4689 9473 -334925 0 1967 0 AP-B9 C10 433 50620 1211793 0 13649 0 AP-B9 C7+T 44569 38481 20260 0 202006 0 AP-B9 C8+T 49690 79628 1566978 0 213687 0 AP-B9 C9+T 44862 18002 -248777 0 195259 0 AP-B9 C10+T 49983 59149 1297941 0 206940 0 AP-B9 C7-T -54533 21422 -152035 0 -184577 0 AP-B9 C8-T -49412 62569 1394683 0 -172896 0 AP-B9 C9-T -54239 943 -421072 0 -191324 0 AP-B9 C10-T -49118 42090 1125646 0 -179643 0 AP-C3 C1 4620 -37667 -290445 0 5957 0 AP-C3 C2 6795 -44682 -313999 0 9540 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-C3 C3 -642 92389 -320591 0 -11374 0 AP-C3 C4 -4697 74582 -930744 0 -3287 0 AP-C3 C5 -2518 104334 -238026 0 -14036 0 AP-C3 C6 -6573 86527 -848179 0 -5949 0 AP-C3 C1+T 9791 -16041 -353610 0 175978 0 AP-C3 C2+T 11966 -23056 -377164 0 179560 0 AP-C3 C3+T 4529 114015 -383756 0 158647 0 AP-C3 C4+T 474 96208 -993910 0 166734 0 AP-C3 C5+T 2653 125960 -301191 0 155985 0 AP-C3 C6+T -1402 108153 -911344 0 164072 0 AP-C3 C1-T -550 -59293 -227279 0 -164064 0 AP-C3 C2-T 1624 -66308 -250833 0 -160481 0 AP-C3 C3-T -5813 70763 -257425 0 -181395 0 AP-C3 C4-T -9868 52956 -867579 0 -173308 0 AP-C3 C5-T -7689 82708 -174860 0 -184057 0 AP-C3 C6-T -11744 64901 -785013 0 -175970 0 AP-C3 C7 7678 -23192 62339 0 272 0 AP-C3 C8 3623 -40999 -547814 0 8359 0 AP-C3 C9 5802 -11247 144904 0 -2390 0 AP-C3 C10 1747 -29053 -465249 0 5697 0 AP-C3 C7+T 12849 -1566 -827 0 170293 0 AP-C3 C8+T 8794 -19373 -610980 0 178380 0 AP-C3 C9+T 10973 10379 81738 0 167631 0 AP-C3 C10+T 6918 -7428 -528415 0 175718 0 AP-C3 C7-T 2507 -44818 125504 0 -169748 0 AP-C3 C8-T -1548 -62625 -484649 0 -161662 0 AP-C3 C9-T 631 -32873 208069 0 -172410 0 AP-C3 C10-T -3424 -50679 -402084 0 -164324 0 AP-C4 C1 8190 -72316 -612368 0 12824 0 AP-C4 C2 11772 -92464 -742086 0 19212 0 AP-C4 C3 -2653 97252 -127171 0 -13753 0 AP-C4 C4 -4020 52509 -1817739 0 -6112 0 AP-C4 C5 -5893 122273 71925 0 -19070 0 AP-C4 C6 -7260 77530 -1618643 0 -11428 0 AP-C4 C1+T 9053 -53532 -665701 0 70397 0 AP-C4 C2+T 12635 -73680 -795419 0 76785 0 AP-C4 C3+T -1789 116036 -180504 0 43820 0 AP-C4 C4+T -3157 71293 -1871073 0 51462 0 AP-C4 C5+T -5029 141057 18592 0 38504 0 AP-C4 C6+T -6397 96314 -1671976 0 46145 0 AP-C4 C1-T 7327 -91101 -559035 0 -44749 0 AP-C4 C2-T 10909 -111249 -688752 0 -38361 0 AP-C4 C3-T -3516 78468 -73838 0 -71326 0 AP-C4 C4-T -4883 33725 -1764406 0 -63685 0 AP-C4 C5-T -6756 103489 125259 0 -76643 0 AP-C4 C6-T -8123 58746 -1565310 0 -69001 0 AP-C4 C7 9198 -37121 327706 0 7593 0 AP-C4 C8 7830 -81864 -1362862 0 15234 0 AP-C4 C9 5958 -12100 526802 0 2276 0 AP-C4 C10 4590 -56843 -1163766 0 9918 0 AP-C4 C7+T 10061 -18337 274373 0 65166 0 AP-C4 C8+T 8694 -63080 -1416196 0 72808 0 AP-C4 C9+T 6821 6684 473469 0 59849 0


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Carga

Fx (N)

Fy (N)

Fz (N)

Mx (N.m)

My (N.m)

Mz (N.m)

AP-C4 C10+T 5454 -38059 -1217099 0 67491 0 AP-C4 C7-T 8334 -55905 381039 0 -49980 0 AP-C4 C8-T 6967 -100649 -1309529 0 -42339 0 AP-C4 C9-T 5094 -30884 580136 0 -55297 0 AP-C4 C10-T 3727 -75627 -1110433 0 -47656 0 AP-C5 C1 -10837 -70175 -630640 0 -31559 0 AP-C5 C2 -14980 -89578 -766686 0 -42917 0 AP-C5 C3 3457 101261 -133608 0 4613 0 AP-C5 C4 3225 55020 -1853123 0 -427 0 AP-C5 C5 7558 125494 72197 0 16334 0 AP-C5 C6 7326 79254 -1647318 0 11294 0 AP-C5 C1+T -10956 -48537 -692177 0 -74131 0 AP-C5 C2+T -15099 -67941 -828222 0 -85489 0 AP-C5 C3+T 3338 122898 -195145 0 -37959 0 AP-C5 C4+T 3106 76657 -1914659 0 -42998 0 AP-C5 C5+T 7439 147132 10660 0 -26238 0 AP-C5 C6+T 7207 100891 -1708854 0 -31277 0 AP-C5 C1-T -10718 -91812 -569104 0 11012 0 AP-C5 C2-T -14862 -111215 -705150 0 -346 0 AP-C5 C3-T 3576 79623 -72072 0 47185 0 AP-C5 C4-T 3344 33382 -1791587 0 42145 0 AP-C5 C5-T 7677 103857 133733 0 58906 0 AP-C5 C6-T 7445 57616 -1585782 0 53866 0 AP-C5 C7 -10935 -34198 324225 0 -27375 0 AP-C5 C8 -11168 -80439 -1395289 0 -32415 0 AP-C5 C9 -6835 -9964 530030 0 -15654 0 AP-C5 C10 -7067 -56205 -1189484 0 -20694 0 AP-C5 C7+T -11054 -12560 262689 0 -69947 0 AP-C5 C8+T -11286 -58801 -1456825 0 -74987 0 AP-C5 C9+T -6953 11673 468494 0 -58226 0 AP-C5 C10+T -7186 -34567 -1251020 0 -63266 0 AP-C5 C7-T -10817 -55835 385762 0 15196 0 AP-C5 C8-T -11049 -102076 -1333753 0 10157 0 AP-C5 C9-T -6716 -31601 591566 0 26917 0 AP-C5 C10-T -6948 -77842 -1127948 0 21878 0 AP-C6 C1 -7308 -45090 -480996 0 -24821 0 AP-C6 C2 -10053 -53611 -575147 0 -33408 0 AP-C6 C3 1430 85999 -198862 0 2187 0 AP-C6 C4 3894 59827 -1337118 0 -3284 0 AP-C6 C5 4180 100337 -44897 0 11297 0 AP-C6 C6 6644 74165 -1183152 0 5826 0 AP-C6 C1+T -11703 -19908 -555376 0 -179754 0 AP-C6 C2+T -14449 -28429 -649526 0 -188340 0 AP-C6 C3+T -2965 111181 -273242 0 -152746 0 AP-C6 C4+T -501 85009 -1411497 0 -158217 0 AP-C6 C5+T -215 125519 -119276 0 -143636 0 AP-C6 C6+T 2249 99347 -1257532 0 -149107 0 AP-C6 C1-T -2912 -70271 -406617 0 130111 0 AP-C6 C2-T -5658 -78793 -500768 0 121525 0 AP-C6 C3-T 5826 60817 -124483 0 157120 0 AP-C6 C4-T 8290 34646 -1262739 0 151649 0 AP-C6 C5-T 8576 75155 29483 0 166230 0 AP-C6 C6-T 11040 48983 -1108773 0 160759 0


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AP-C6 C7 -9460 -22674 154952 0 -20189 0 AP-C6 C8 -6996 -48846 -983303 0 -25660 0 AP-C6 C9 -6710 -8336 308918 0 -11079 0 AP-C6 C10 -4246 -34508 -829337 0 -16550 0 AP-C6 C7+T -13855 2508 80573 0 -175122 0 AP-C6 C8+T -11392 -23664 -1057683 0 -180593 0 AP-C6 C9+T -11105 16846 234539 0 -166012 0 AP-C6 C10+T -8641 -9326 -903717 0 -171483 0 AP-C6 C7-T -5064 -47856 229332 0 134744 0 AP-C6 C8-T -2600 -74027 -908924 0 129272 0 AP-C6 C9-T -2314 -33518 383298 0 143854 0 AP-C6 C10-T 150 -59690 -754958 0 138383 0 AP-C7 C1 1946 -23321 -647524 0 7469 0 AP-C7 C2 2660 -34091 -783129 0 10064 0 AP-C7 C3 -789 60176 98913 0 -7229 0 AP-C7 C4 -5141 5808 -2004866 0 -4098 0 AP-C7 C5 -1516 69580 308952 0 -9974 0 AP-C7 C6 -5868 15212 -1794827 0 -6843 0 AP-C7 C1+T 9746 38643 -835812 0 101012 0 AP-C7 C2+T 10460 27873 -971418 0 103607 0 AP-C7 C3+T 7010 122140 -89375 0 86314 0 AP-C7 C4+T 2658 67772 -2193155 0 89445 0 AP-C7 C5+T 6283 131544 120664 0 83569 0 AP-C7 C6+T 1931 77176 -1983116 0 86700 0 AP-C7 C1-T -5853 -85285 -459235 0 -86074 0 AP-C7 C2-T -5139 -96055 -594841 0 -83478 0 AP-C7 C3-T -8589 -1788 287202 0 -100772 0 AP-C7 C4-T -12940 -56156 -1816578 0 -97641 0 AP-C7 C5-T -9316 7616 497241 0 -103517 0 AP-C7 C6-T -13667 -46752 -1606539 0 -100386 0 AP-C7 C7 5267 17619 518109 0 4835 0 AP-C7 C8 916 -36750 -1585671 0 7966 0 AP-C7 C9 4540 27023 728148 0 2090 0 AP-C7 C10 189 -27346 -1375632 0 5221 0 AP-C7 C7+T 13067 79582 329820 0 98378 0 AP-C7 C8+T 8715 25214 -1773960 0 101509 0 AP-C7 C9+T 12340 88987 539859 0 95633 0 AP-C7 C10+T 7988 34618 -1563920 0 98764 0 AP-C7 C7-T -2532 -44345 706397 0 -88708 0 AP-C7 C8-T -6884 -98714 -1397382 0 -85577 0 AP-C7 C9-T -3259 -34941 916436 0 -91453 0 AP-C7 C10-T -7611 -89309 -1187343 0 -88322 0 AP-C8 C1 -1946 -23321 -647524 0 -7468 0 AP-C8 C2 -2660 -34091 -783130 0 -10063 0 AP-C8 C3 789 60176 98913 0 7229 0 AP-C8 C4 5141 5808 -2004867 0 4098 0 AP-C8 C5 1516 69580 308953 0 9974 0 AP-C8 C6 5868 15212 -1794828 0 6843 0 AP-C8 C1+T -9744 38637 -835796 0 -101009 0 AP-C8 C2+T -10458 27867 -971402 0 -103604 0 AP-C8 C3+T -7009 122134 -89359 0 -86311 0 AP-C8 C4+T -2657 67766 -2193139 0 -89442 0 AP-C8 C5+T -6282 131538 120680 0 -83566 0


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Carga

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AP-C8 C6+T -1930 77170 -1983100 0 -86698 0 AP-C8 C1-T 5852 -85279 -459252 0 86072 0 AP-C8 C2-T 5139 -96049 -594857 0 83477 0 AP-C8 C3-T 8587 -1782 287186 0 100770 0 AP-C8 C4-T 12939 -56150 -1816594 0 97639 0 AP-C8 C5-T 9314 7622 497225 0 103515 0 AP-C8 C6-T 13666 -46746 -1606555 0 100384 0 AP-C8 C7 -5267 17619 518108 0 -4834 0 AP-C8 C8 -915 -36750 -1585672 0 -7965 0 AP-C8 C9 -4540 27023 728148 0 -2089 0 AP-C8 C10 -188 -27345 -1375632 0 -5221 0 AP-C8 C7+T -13065 79577 329836 0 -98375 0 AP-C8 C8+T -8713 25208 -1773944 0 -101506 0 AP-C8 C9+T -12338 88981 539875 0 -95630 0 AP-C8 C10+T -7986 34613 -1563905 0 -98761 0 AP-C8 C7-T 2531 -44339 706381 0 88707 0 AP-C8 C8-T 6883 -98708 -1397399 0 85575 0 AP-C8 C9-T 3258 -34935 916420 0 91451 0 AP-C8 C10-T 7610 -89303 -1187360 0 88320 0 AP-C9 C1 7308 -45089 -480999 0 24822 0 AP-C9 C2 10054 -53609 -575152 0 33408 0 AP-C9 C3 -1430 85999 -198860 0 -2187 0 AP-C9 C4 -3894 59831 -1337127 0 3286 0 AP-C9 C5 -4180 100336 -44893 0 -11297 0 AP-C9 C6 -6644 74168 -1183160 0 -5824 0 AP-C9 C1+T 11703 -19904 -555387 0 179754 0 AP-C9 C2+T 14449 -28424 -649540 0 188340 0 AP-C9 C3+T 2965 111183 -273248 0 152745 0 AP-C9 C4+T 502 85015 -1411515 0 158218 0 AP-C9 C5+T 215 125521 -119281 0 143635 0 AP-C9 C6+T -2249 99353 -1257548 0 149108 0 AP-C9 C1-T 2913 -70274 -406611 0 -130110 0 AP-C9 C2-T 5658 -78794 -500764 0 -121524 0 AP-C9 C3-T -5826 60814 -124472 0 -157119 0 AP-C9 C4-T -8289 34646 -1262739 0 -151646 0 AP-C9 C5-T -8576 75151 29495 0 -166229 0 AP-C9 C6-T -11039 48983 -1108772 0 -160756 0 AP-C9 C7 9460 -22674 154955 0 20189 0 AP-C9 C8 6996 -48843 -983312 0 25662 0 AP-C9 C9 6710 -8337 308922 0 11078 0 AP-C9 C10 4246 -34505 -829345 0 16551 0 AP-C9 C7+T 13855 2510 80567 0 175121 0 AP-C9 C8+T 11392 -23658 -1057700 0 180594 0 AP-C9 C9+T 11105 16848 234534 0 166010 0 AP-C9 C10+T 8641 -9320 -903733 0 171483 0 AP-C9 C7-T 5064 -47859 229343 0 -134743 0 AP-C9 C8-T 2601 -74027 -908924 0 -129270 0 AP-C9 C9-T 2314 -33522 383310 0 -143854 0 AP-C9 C10-T -149 -59690 -754957 0 -138381 0 AP-B10 C1 -2684 77096 1117392 0 21072 0 AP-B10 C2 -3962 97613 1378139 0 28210 0 AP-B10 C3 2791 97745 111036 0 311 0 AP-B10 C4 4295 157697 2459539 0 6476 0


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Carga

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Mx (N.m)

My (N.m)

Mz (N.m)

AP-B10 C5 3885 71372 -259772 0 -7375 0 AP-B10 C6 5389 131324 2088731 0 -1211 0 AP-B10 C1+T 12331 81848 1188686 0 76191 0 AP-B10 C2+T 11053 102365 1449433 0 83329 0 AP-B10 C3+T 17806 102497 182330 0 55431 0 AP-B10 C4+T 19310 162449 2530833 0 61595 0 AP-B10 C5+T 18901 76124 -188478 0 47744 0 AP-B10 C6+T 20404 136076 2160024 0 53909 0 AP-B10 C1-T -17699 72344 1046098 0 -34048 0 AP-B10 C2-T -18977 92861 1306845 0 -26909 0 AP-B10 C3-T -12224 92993 39742 0 -54808 0 AP-B10 C4-T -10721 152945 2388245 0 -48643 0 AP-B10 C5-T -11130 66620 -331066 0 -62495 0 AP-B10 C6-T -9626 126572 2017437 0 -56330 0 AP-B10 C7 -4306 32097 -236900 0 15421 0 AP-B10 C8 -2802 92049 2111603 0 21586 0 AP-B10 C9 -3211 5723 -607708 0 7735 0 AP-B10 C10 -1708 65675 1740795 0 13899 0 AP-B10 C7+T 10710 36849 -165606 0 70541 0 AP-B10 C8+T 12213 96801 2182896 0 76705 0 AP-B10 C9+T 11804 10475 -536414 0 62854 0 AP-B10 C10+T 13308 70427 1812088 0 69019 0 AP-B10 C7-T -19321 27345 -308194 0 -39698 0 AP-B10 C8-T -17817 87297 2040309 0 -33533 0 AP-B10 C9-T -18227 971 -679002 0 -47385 0 AP-B10 C10-T -16723 60923 1669501 0 -41220 0 AP-B11 C1 5949 74755 1095450 0 -1636 0 AP-B11 C2 8275 94480 1348637 0 -3360 0 AP-B11 C3 1493 93534 104357 0 13005 0 AP-B11 C4 -2989 154334 2415390 0 547 0 AP-B11 C5 -774 68013 -258408 0 13968 0 AP-B11 C6 -5256 128814 2052626 0 1509 0 AP-B11 C1+T -13446 74933 1154456 0 -74834 0 AP-B11 C2+T -11121 94658 1407643 0 -76559 0 AP-B11 C3+T -17903 93712 163362 0 -60193 0 AP-B11 C4+T -22384 154512 2474396 0 -72652 0 AP-B11 C5+T -20170 68191 -199402 0 -59231 0 AP-B11 C6+T -24651 128992 2111632 0 -71690 0 AP-B11 C1-T 25345 74577 1036444 0 71563 0 AP-B11 C2-T 27670 94302 1289631 0 69838 0 AP-B11 C3-T 20888 93356 45351 0 86204 0 AP-B11 C4-T 16407 154156 2356385 0 73745 0 AP-B11 C5-T 18621 67835 -317413 0 87166 0 AP-B11 C6-T 14140 128635 1993620 0 74708 0 AP-B11 C7 9111 29320 -239663 0 7033 0 AP-B11 C8 4629 90120 2071371 0 -5426 0 AP-B11 C9 6843 3799 -602427 0 7996 0 AP-B11 C10 2362 64600 1708606 0 -4463 0 AP-B11 C7+T -10285 29498 -180657 0 -66166 0 AP-B11 C8+T -14766 90298 2130376 0 -78624 0 AP-B11 C9+T -12552 3978 -543422 0 -65203 0 AP-B11 C10+T -17033 64778 1767612 0 -77662 0 AP-B11 C7-T 28506 29142 -298669 0 80232 0


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Mz (N.m)

AP-B11 C8-T 24025 89942 2012365 0 67773 0 AP-B11 C9-T 26239 3621 -661433 0 81194 0 AP-B11 C10-T 21758 64422 1649601 0 68735 0 AP-B12 C1 3822 59473 579989 0 805 0 AP-B12 C2 5344 73618 657656 0 170 0 AP-B12 C3 3228 120950 411483 0 13604 0 AP-B12 C4 -4866 139041 1241773 0 -4375 0 AP-B12 C5 1763 101131 237036 0 13594 0 AP-B12 C6 -6331 119222 1067327 0 -4385 0 AP-B12 C1+T -50100 64687 654281 0 -210623 0 AP-B12 C2+T -48579 78832 731947 0 -211258 0 AP-B12 C3+T -50695 126165 485774 0 -197824 0 AP-B12 C4+T -58788 144255 1316065 0 -215803 0 AP-B12 C5+T -52160 106345 311328 0 -197834 0 AP-B12 C6+T -60253 124436 1141618 0 -215813 0 AP-B12 C1-T 57745 54259 505698 0 212232 0 AP-B12 C2-T 59266 68403 583364 0 211597 0 AP-B12 C3-T 57150 115736 337191 0 225031 0 AP-B12 C4-T 49057 133827 1167481 0 207052 0 AP-B12 C5-T 55685 95917 162744 0 225021 0 AP-B12 C6-T 47592 114008 993035 0 207042 0 AP-B12 C7 9780 44135 79286 0 13836 0 AP-B12 C8 1686 62226 909577 0 -4143 0 AP-B12 C9 8315 24316 -95160 0 13826 0 AP-B12 C10 221 42407 735130 0 -4153 0 AP-B12 C7+T -44143 49350 153578 0 -197592 0 AP-B12 C8+T -52236 67440 983868 0 -215571 0 AP-B12 C9+T -45608 29530 -20868 0 -197602 0 AP-B12 C10+T -53702 47621 809422 0 -215581 0 AP-B12 C7-T 63702 38921 4994 0 225263 0 AP-B12 C8-T 55609 57012 835285 0 207284 0 AP-B12 C9-T 62237 19102 -169452 0 225253 0 AP-B12 C10-T 54143 37193 660838 0 207274 0 AP-C10 C1 10838 -70168 -630660 0 31560 0 AP-C10 C2 14981 -89566 -766721 0 42919 0 AP-C10 C3 -3457 101256 -133594 0 -4613 0 AP-C10 C4 -3225 55040 -1853183 0 429 0 AP-C10 C5 -7558 125486 72221 0 -16334 0 AP-C10 C6 -7326 79271 -1647368 0 -11293 0 AP-C10 C1+T 10956 -48530 -692200 0 74131 0 AP-C10 C2+T 15100 -67927 -828261 0 85490 0 AP-C10 C3+T -3339 122894 -195133 0 37958 0 AP-C10 C4+T -3106 76679 -1914722 0 43000 0 AP-C10 C5+T -7440 147124 10682 0 26237 0 AP-C10 C6+T -7207 100909 -1708907 0 31278 0 AP-C10 C1-T 10719 -91807 -569121 0 -11011 0 AP-C10 C2-T 14862 -111204 -705181 0 348 0 AP-C10 C3-T -3576 79617 -72054 0 -47184 0 AP-C10 C4-T -3344 33402 -1791643 0 -42142 0 AP-C10 C5-T -7677 103847 133761 0 -58905 0 AP-C10 C6-T -7445 57632 -1585828 0 -53864 0 AP-C10 C7 10936 -34203 324240 0 27375 0 AP-C10 C8 11168 -80418 -1395349 0 32417 0


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AP-C10 C9 6835 -9972 530055 0 15654 0 AP-C10 C10 7067 -56188 -1189534 0 20696 0 AP-C10 C7+T 11055 -12564 262700 0 69946 0 AP-C10 C8+T 11287 -58779 -1456888 0 74988 0 AP-C10 C9+T 6953 11666 468515 0 58225 0 AP-C10 C10+T 7186 -34549 -1251073 0 63267 0 AP-C10 C7-T 10817 -55841 385779 0 -15195 0 AP-C10 C8-T 11050 -102056 -1333809 0 -10154 0 AP-C10 C9-T 6716 -31611 591594 0 -26917 0 AP-C10 C10-T 6948 -77826 -1127994 0 -21875 0 AP-C11 C1 -8189 -72330 -612327 0 -12823 0 AP-C11 C2 -11771 -92490 -742012 0 -19210 0 AP-C11 C3 2653 97262 -127201 0 13753 0 AP-C11 C4 4020 52466 -1817615 0 6114 0 AP-C11 C5 5892 122291 71874 0 19069 0 AP-C11 C6 7260 77494 -1618540 0 11430 0 AP-C11 C1+T -9053 -53546 -665660 0 -70397 0 AP-C11 C2+T -12635 -73706 -795345 0 -76784 0 AP-C11 C3+T 1789 116046 -180534 0 -43821 0 AP-C11 C4+T 3157 71250 -1870948 0 -51460 0 AP-C11 C5+T 5029 141075 18542 0 -38504 0 AP-C11 C6+T 6397 96278 -1671873 0 -46144 0 AP-C11 C1-T -7326 -91115 -558994 0 44751 0 AP-C11 C2-T -10908 -111274 -688679 0 38363 0 AP-C11 C3-T 3516 78478 -73869 0 71327 0 AP-C11 C4-T 4884 33682 -1764283 0 63687 0 AP-C11 C5-T 6756 103507 125207 0 76643 0 AP-C11 C6-T 8124 58710 -1565207 0 69004 0 AP-C11 C7 -9197 -37111 327676 0 -7593 0 AP-C11 C8 -7830 -81907 -1362738 0 -15232 0 AP-C11 C9 -5957 -12083 526751 0 -2276 0 AP-C11 C10 -4590 -56879 -1163663 0 -9916 0 AP-C11 C7+T -10061 -18327 274343 0 -65167 0 AP-C11 C8+T -8693 -63123 -1416071 0 -72806 0 AP-C11 C9+T -6821 6702 473419 0 -59850 0 AP-C11 C10+T -5453 -38095 -1216995 0 -67490 0 AP-C11 C7-T -8334 -55895 381008 0 49981 0 AP-C11 C8-T -6966 -100691 -1309406 0 42342 0 AP-C11 C9-T -5094 -30867 580084 0 55297 0 AP-C11 C10-T -3726 -75663 -1110330 0 47658 0 AP-C12 C1 -4620 -37661 -290463 0 -5957 0 AP-C12 C2 -6795 -44671 -314032 0 -9539 0 AP-C12 C3 642 92384 -320579 0 11374 0 AP-C12 C4 4697 74601 -930798 0 3289 0 AP-C12 C5 2518 104327 -238004 0 14036 0 AP-C12 C6 6574 86543 -848224 0 5951 0 AP-C12 C1+T -9792 -16033 -353633 0 -175979 0 AP-C12 C2+T -11966 -23044 -377202 0 -179561 0 AP-C12 C3+T -4529 114012 -383749 0 -158647 0 AP-C12 C4+T -474 96228 -993968 0 -166732 0 AP-C12 C5+T -2653 125954 -301174 0 -155986 0 AP-C12 C6+T 1402 108170 -911394 0 -164070 0 AP-C12 C1-T 551 -59288 -227293 0 164065 0


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AP-C12 C2-T -1624 -66299 -250862 0 160482 0 AP-C12 C3-T 5813 70757 -257409 0 181396 0 AP-C12 C4-T 9869 52973 -867628 0 173311 0 AP-C12 C5-T 7689 82699 -174834 0 184058 0 AP-C12 C6-T 11745 64915 -785054 0 175973 0 AP-C12 C7 -7679 -23196 62351 0 -273 0 AP-C12 C8 -3623 -40980 -547869 0 -8358 0 AP-C12 C9 -5803 -11254 144925 0 2389 0 AP-C12 C10 -1747 -29038 -465294 0 -5696 0 AP-C12 C7+T -12850 -1569 -819 0 -170295 0 AP-C12 C8+T -8794 -19353 -611039 0 -178380 0 AP-C12 C9+T -10974 10373 81755 0 -167633 0 AP-C12 C10+T -6918 -7410 -528464 0 -175718 0 AP-C12 C7-T -2508 -44824 125521 0 169748 0 AP-C12 C8-T 1548 -62607 -484699 0 161664 0 AP-C12 C9-T -632 -32882 208095 0 172410 0 AP-C12 C10-T 3424 -50665 -402124 0 164325 0

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