anteprojeto de engenharia para … - 311 -15-00/volume 3a - tomo...- sap 2000 – strucutral...

: BR-101 AL: DIVISA PE/AL - DIVISA AL/SE: DIVISA PE/AL - (Ponte s/ o Rio Jacupe) - ENTR. AL-110 (P/ ARAPIRACA): 78,11 Km: Km 92,21 ao Km 170,32: 101BAL 0710 - 101BAL 0820 e 101BAL 0830 - 101BAL 0850: 04 - SEGMENTO 1

SETEMBRO / 2014

MEMRIA DE CLCULO DAS OAETOMO III

VOLUME 3A

- RODOVIA - TRECHO - SUBTRECHO - EXTENSO - SEGMENTO - CDIGO PNV - LOTE

ANTEPROJETO DE ENGENHARIA PARA DUPLICAO E RESTAURAO COM

MELHORAMENTOS

Departamento Nacional de Infraestrutura de Transportes - DNIT Superintendncia Regional no Estado de Alagoas

REPBLICA FEDERATIVA DO BRASILMINISTRIO DOS TRANSPORTES

: BR-101 AL: DIVISA PE/AL - DIVISA AL/SE: DIVISA PE/AL - (Ponte s/ o Rio Jacupe) - ENTR. AL-110 (P/ ARAPIRACA): 78,11 Km: Km 92,21 ao Km 170,32: 101BAL 0710 - 101BAL 0820 e 101BAL 0830 - 101BAL 0850: 04 - SEGMENTO 1

: COORDENAO GERAL DE CONSTRUO RODOVIRIA: SUPERINTENDNCIA REGIONAL NO ESTADO DE ALAGOAS

SETEMBRO / 2014

ANTEPROJETO DE ENGENHARIA PARA DUPLICAO E RESTAURAO COM

MELHORAMENTOS

Departamento Nacional de Infraestrutura de Transportes - DNIT Superintendncia Regional no Estado de Alagoas

REPBLICA FEDERATIVA DO BRASILMINISTRIO DOS TRANSPORTES

COORDENAO FISCALIZAO

MEMRIA DE CLCULO DAS OAETOMO III

VOLUME 3A

- CDIGO PNV - LOTE

- RODOVIA - TRECHO - SUBTRECHO - EXTENSO - SEGMENTO

SUMRIO

1. APRESENTAO..................................................................................................02

2. MAPA DE SITUAO............................................................................................04

3. MEMRIA DE CLCULO DAS OAE........................................................................06

TOMO II

3.1 OBRAS NOVAS

3.1.1 Ponte Sobre o Rio Uruba...................................................................................08

3.1.2 Ponte Sobre o Rio Satuba................................................................................235

3.1.3 Viaduto Interseo AL-316(Acesso Macei)....................................................513

TOMO III

3.1.4 Ponte Sobre o Rio Paraba.................................................................................08

TOMO IV

3.1.5 Ponte Sobre o Rio Sumama.............................................................................08

3.1.6 Ponte Sobre o Rio Varrela..................................................................................23

TOMO V

3.1.7 Viaduto interseo AL-220(P/ Barra de So Miguel).........................................08

3.1.8 Ponte sobre o Rio So Miguel..........................................................................342

TOMO VI

3.2 OBRAS EXISTENTE A ALARGAR

3.2.1 Ponte Sobre o Rio Uruba...................................................................................08

3.2.2 Ponte Sobre o Rio Satuba..................................................................................35

3.2.3 Ponte Sobre o Rio Sumama.............................................................................82

3.2.4 Ponte Sobre o Rio Varrela................................................................................109

3.2.5 Ponte Sobre o Rio So Miguel..........................................................................165

3.3 Novas P.I.S

3.3.1 Passagens Inferiores..........................................................................................231

4. TERMO DE ENCERRAMENTO...............................................................................570

1

1. APRESENTAO

Rodovia

Trecho

Subtrecho

Segmento

Extenso : 78,11 Km

Lote : 04 - Segmento 1

Este relatrio est sendo apresentado nos seguintes volumes:

Volume 1 A4

Volume 2 A3

Volume 2 A3

Volume 2 A4

Volume 2 A4

Volume 3A A3

Volume 3A A4

Volume 3A A4

Volume 3A A4

Volume 3A A4

Volume 3A A4

Volume 3B A3

Volume 3B A4

Volume 4 A4

O Consorcio Gerenciador da BR-101/NE apresenta ao Departamento Nacional de Infra-Estrutura de

Transportes - DNIT, o Relatrio do Projeto Executivo de Engenharia para Duplicao e Restaurao

com Melhoramentos da Rodovia referente ao contrato a seguir caracterizado:

Tomo I - Anteprojeto de Execuo - Segmento 1

Tomo II - Anteprojeto de Execuo - Segmento 2

Tomo III - Estudos Geotcnicos - Segmento 1

Tomo IV - Estudos Geotcnicos - Segmento 2

VOLUMES DISCRIMINAO FORMATO

Relatrio do Anteprojeto

Objeto

Restaurao com Melhoramento de Rodovia

: BR - 101 AL

: Elaborao de Anteprojeto Executivo de Engenharia para Duplicao e

: Divisa PE/AL - Divisa AL/SE

: Km 92,21 - Km 170,32

: DIVISA PE/AL - (Ponte s/ o Rio Jacupe) - ENTR. AL-110 (P/ ARAPIRACA)

Tomo V - Memria de Clculo das OAE's - Segmento 1

Tomo I - Plantas OAE's - Segmento 1

Tomo II - Memria de Clculo das OAE's - Segmento 1

Tomo III - Memria de Clculo das OAE's - Segmento 1

Tomo IV - Memria de Clculo das OAE's - Segmento 1

Na 3 Reviso de Projeto em Fase de Obras, para as Obras de Arte Especiais, o consrcio construtor

contratou consultoria especializada nesse assunto para avaliao dos projetos estruturais e validao

dos mesmos.

Oramento

Tomo VI - Memria de Clculo das OAE's - Segmento 1

Tomo I - Plantas OAE's - Segmento 2

Tomo II - Memria de Clculo das OAE's - Segmento 2

Foi elaborado um novo projeto da ponte sobre o Rio Paraba, objetivando adequ-la ao local onde ser

contruda, bem como as condies de fundao existente.

A seguir sera apresentado a memria de clculo revisada do Ponte sobre o Rio Paraba.

3

2. MAPA DE SITUAO

3. MEMRIA DE CLCULO DAS OAE

3.1 OBRAS NOVAS

3.1.4 PONTE SOBRE O RIO PARABA

CEP-0837-PE-MC0002-REV_00 Paraiba.xls

INTRODUO / DESCRIO

Introduo - Descrio


A infraestrutura ser composta por estacas metlicas de perfil HP 310x93 e por blocos de dimenso igual a 4.0x4.0x1.5 metros.

A largura total da laje do tabuleiro de 13.65 metros.

Nas extremidades o aterro contido por encontros do tipo Pego Paulista.

Na entrada e sada da ponte, projetou-se ainda uma laje de aproximao que funciona como elemento de transio entre o aterro e a ponte.

A meso-estrutura constituem os elementos de transio entre a super e a infraestrutura. constituda pelos aparelhos de apoio, vigas travessas e pilares.

Os aparelhos de apoio sero constitudos por elastmeros fretados de neoprene, que funcionam com apoios articulados mveis, minimizando assim os efeitos de temperatura devido a grande extenso longitudinal da ponte.

O sistema esttico de uma estrutura isosttica com quatro vos de aproximadamente 32 metros.

INTRODUO

Sero apresentados os principais clculos e verificaes referentes aPonte sobre o Rio Paraba

DESCRIO

Resistencia caracterisitica do concreto compressao fck=25,0MPa (paraos blocos) e 20 Mpa para as estacas raiz;

CRITRIOS UTILIZADOS

Peso especifico do aterro = 1,8tf/m;Angulo de atrito interno f= 30graus;

Para anlise das cargas atuantes sobre a estrutura, considerou-se a aodas cargas permanentes, peso prprio, empuxos devido ao paramentovertical do aterro a ser contido e cargas moveis.

De acordo com a normalizacao brasileira pertinente ao assunto e conformeas condicoes do local, utilizou-se os seguintes parametros:

REFERNCIAS Normas A.B.N.T. Associao brasileira de Normas Tcnicas.

Coeficiente de recalque horizontal do solo Cr=1000tf/m.

- SAP 2000 Strucutral Analysis Program - release 12.0.1

- Norma NBR6118 Clculo e Execuo de Obras em Concreto Armado.- Norma NBR6120 Projeto e execucao e Fundacoes

SISTEMAS COMPUTACIONAIS UTILIZADOS

Introduo


A seguir apresentamos algumas figuras referentes a modelagem, feita atravs do software denominado"SAP 2000 verso 12.0.1", para determinao dos esforos solicitantes.

VISTA TRANSVERSAL

VISTA LONGITUDINAL

SAP


ESFOROES HORIZONTAIS

Esforos Horizontais


Determinacao dos Esforcos Longitudinaisa) Aceleracao/Frenagem

Ffren = 5% * carga distribuida na ponte

TB= 45Comprimento Total= 32 m

Largura do Tabuleiro = 13,65 mLargura do passeio = 1,65 m

Largura do guarda rodas = 0,4 mAltura do Guarda-rodas = 0,87 m

Altura da Longarina = 2,20 mAltura da Cortina = 3,81 m

Ffren = 8,96 Tf

Facel = 30% * peso do Trem Tipo

Facel = 13,5 Tf

Logo , Facel/fren = 13,5 tf por apoio

b) Empuxo Unilateral na Cortina

Dados do Aterro: Gama = 1,8 tf/m3 Coesao = 0

ka = 0,333

Dados da cortina: Compr.= 13,65 m Altura= 3,81 m

b1) Empuxo de terra

Et = 59,44 tf por apoio

b2) Empuxo devido a sobrecarga movel no aterro

q = 0,5 tf/m2

Es = 8,67 tf por apoio

E = Et + Es = 68,11 tf por apoio

c) Retracao e Variacao de Temperatura

Considerando-se: alfa = 0,00001 / grau celsius

Delta T = 25 graus

Delta L = alfa * Li' * Delta T

F = ki * Delta L

Esf. Horizontais


Determinacao dos Esforcos Transversaisa) Esforco de Ventoa.1) Ponte descarregada w1 = 0,15 tf/m2

altura do guarda corpo= 0,870 maltura da Longarina= 2,200 m

Pw1 = 0,461 tf/m

a.2) Ponte carregada w2 = 0,1 tf/m2

altura do Trem-Tipo= 2,000 maltura da Longarina= 2,200 m

Pw1 = 0,420 tf/m

adotar Pw = 0,461 tf/m

Esf. Horizontais


ESFOROES VERTICAIS

Esforos Verticais


Determinao dos Esforcos Verticais

a) Carregamento permanente Distribuido

Dados da Estrutura:Largura da Laje Superior= 13,65 mMaior espessura na Laje= 0,2 mMenor espessura na Laje= 0,2 mLargura da Longarina 0,28 mAltura da Longarina 2,2 mEspessura media do Pavimento= 0,05 mLargura do Guarda Corpo= 0,4 m

Guarda Corpo 0,61 tf/mLaje superior: 6,685 tf/mPavimento: 0,12 tf/m2Recapeamento: 0,2 tf/m2

b) Carregamento Movel

sobrecarga movel= 0,5 tf/mq= 6,825 tf/m

Esf. Verticais


SUPERESTRUTURA

Superestrutura


CLCULO E DIMENSIONAMENTO DO TABULEIRO

Tabuleiro


Clculo da armao da pre-laje dos mdulos:

Cargas atuantesCarga permanente: 0,15 tf/mSobrecarga permanente 0,35 tf/msobrecarga movel: 0,5 tf/mTotal: 1 tf/mEspessura total da laje: 20 cm

Considerando a pre-leje para resistir aos esforcos na fase de execucao do tabuleiro, temos:Carga q: 1,000 tf/m gc = 1,5Espessura da laje: 6,0 cm fck = 35 MPaLargura da faixa: 130 cm fyk = 500 MPa

Fiss. = 0,25 mm

Esquema Estruturalq

0 1,3 0

Mvo = 0,211 tf.m As = 1,76 cmkfiss.= 1,00 As,fiss.= 1,76 cm/m

adotar: 12,5 c /67,5Asmin = 1,35 cm/madotar: 12,5 c/90

Pre-laje Vo


VAO 1 - Momentos para carga permanente VAO 1 - Momentos para carga movel

SECAO X MOMENTO SECAO X MPMAX MPMIN---------------------------------------------------------- ---------------------------------------------------------- 1 0.000 -0.273 1 0.000 0.000 -3.046 2 0.230 -0.126 2 0.230 0.498 -2.176 3 0.460 -0.011 3 0.460 0.996 -1.306 4 0.690 0.071 4 0.690 1.494 -0.435 5 0.920 0.120 5 0.920 1.494 0.000 6 1.150 0.137 6 1.150 1.494 0.000 7 1.380 0.120 7 1.380 1.494 0.000 8 1.610 0.071 8 1.610 1.494 -0.435 9 1.840 -0.011 9 1.840 0.996 -1.306 10 2.070 -0.126 10 2.070 0.498 -2.176 11 2.300 -0.273 11 2.300 0.000 -3.046

MYEperm = -0.187 MYMmov= 0.9766MYMperm = 0.023 MYEmov= -2.3432

CALCULO DO TABULEIRO

Dimens. Tab Engaste - Engaste


Dimensionamento segundo a norma NBR 6118 - 2003

1.2) Dimensionamento a Flexo-Compressao Normalfck= 350 kgf/cmfyK= 5000 kgf/cm cobrim.= 3,0 cm

FISSURAO: Wk1= 0,25 mm (M+) wk2= 0,25 mm (M-)Majorao das cargas= 1

As=((0,85fck/1,4).b.(h-d').(1-(1-2*(k)^0,5)-g.N)/(fyk/1,15)+A'sA's=(0,85fck/1,4)*b*(h-d')/(fyk/1,15).(k-k')/(1-d'/(h-d'))k=(g.M+g.N(h-d'-h/2))/(0,85fck/1,4)/b/(h-d')As Obliqua= Md/Fyk/1.75/Zx

Dimensionamento a Flexo-CompressoSecao Md (tf.m) b(cm) h(cm) d'(cm) zx(cm) Md(tf.m) N(tf) k As(cm) As(cm) A's(cm)

1 SUP -4,938 100 20,0 4,875 20,0 -4,938 0 0,10 7,93 7,93 0,00INF -0,273 100 20,0 4,875 20,0 -0,273 0 0,01 0,00 0,00 0,00

2 SUP -3,434 100 20,0 4,875 20,0 -3,434 0 0,07 5,42 5,42 0,00INF 0,622 100 20,0 4,875 20,0 0,622 0 0,01 0,95 0,95 0,00

3 SUP -1,973 100 20,0 4,875 20,0 -1,973 0 0,04 3,06 3,06 0,00INF 1,484 100 20,0 4,875 20,0 1,484 0 0,03 2,29 2,29 0,00

Dimensionamento a Flexo-CompressoSecao Md (tf.m) b(cm) h(cm) d'(cm) zx(cm) Md(tf.m) N(tf) k As(cm) As Obliqua(cm) A's(cm)

4 SUP -0,582 100 20,0 4,875 20,0 -0,582 0 0,01 0,89 0,89 0,00INF 2,338 100 20,0 4,875 20,0 2,338 0 0,05 3,65 3,65 0,00

5 SUP 0,12 100 20,0 4,875 20,0 0,12 0 0,00 0,00 0,00 0,00INF 2,404 100 20,0 4,875 20,0 2,404 0 0,05 3,75 3,75 0,00

6 SUP 0,137 100 20,0 4,875 20,0 0,137 0 0,00 0,00 0,00 0,00INF 2,426 100 20,0 4,875 20,0 2,426 0 0,05 3,79 3,79 0,00

7 SUP 0,12 100 20,0 4,875 20,0 0,12 0 0,00 0,00 0,00 0,00INF 2,404 100 20,0 4,875 20,0 2,404 0 0,05 3,75 3,75 0,00

8 SUP -0,582 100 20,0 4,875 20,0 -0,582 0 0,01 0,89 0,89 0,00INF 2,338 100 20,0 4,875 20,0 2,338 0 0,05 3,65 3,65 0,00

9 SUP -1,973 100 20,0 4,875 20,0 -1,973 0 0,04 3,06 3,06 0,00INF 1,484 100 20,0 4,875 20,0 1,484 0 0,03 2,29 2,29 0,00

10 SUP -3,434 100 20,0 4,875 20,0 -3,434 0 0,07 5,42 5,42 0,00INF 0,622 100 20,0 4,875 20,0 0,622 0 0,01 0,95 0,95 0,00

11 SUP -4,938 100 20,0 4,875 20,0 -4,938 0 0,10 7,93 7,93 0,00INF -0,273 100 20,0 4,875 20,0 -0,273 0 0,01 0,00 0,00 0,00

MYE -3,767 100 14,0 1 14,0 -3,767 0 0,10 7,06 7,06 0,00MYM 1,495 100 14,0 1 14,0 1,495 0 0,04 2,70 2,70 0,00



Verificao ao Flexo

As,real f f f f As,min.Secao (cm) 8,0 10,0 12,5 16,0 (cm) 8 10 12,5 16

1 SUP 7,9 7,9 7,9 7,9 8,4 3,0 6,3 10,1 15,8 23,8INF 0,0 0,0 0,0 0,0 0,0 3,0 - - - -

2 SUP 5,4 5,4 5,4 5,4 5,7 3,0 9,2 14,8 23,1 34,9INF 1,0 1,0 1,0 1,0 1,0 3,0 16,4 26,3 41,1 65,8

3 SUP 3,1 3,1 3,1 3,1 3,2 3,0 16,3 26,1 40,8 61,7INF 2,3 2,3 2,3 2,3 2,4 3,0 16,4 26,3 41,1 65,8

4 SUP 0,9 0,9 0,9 0,9 0,9 3,0 16,4 26,3 41,1 65,8INF 3,6 3,6 3,6 3,6 3,9 3,0 13,7 21,9 34,3 51,9

5 SUP 0,0 0,0 0,0 0,0 0,0 3,0 - - - -INF 3,8 3,8 3,8 3,8 4,0 3,0 13,3 21,3 33,3 50,4

6 SUP 0,0 0,0 0,0 0,0 0,0 3,0 - - - -INF 3,8 3,8 3,8 3,8 4,0 3,0 13,2 21,1 33,0 49,9

7 SUP 0,0 0,0 0,0 0,0 0,0 3,0 - - - -INF 3,8 3,8 3,8 3,8 4,0 3,0 13,3 21,3 33,3 50,4

8 SUP 0,9 0,9 0,9 0,9 0,9 3,0 16,4 26,3 41,1 65,8INF 3,6 3,6 3,6 3,6 3,9 3,0 13,7 21,9 34,3 51,9

9 SUP 3,1 3,1 3,1 3,1 3,2 3,0 16,3 26,1 40,8 61,7INF 2,3 2,3 2,3 2,3 2,4 3,0 16,4 26,3 41,1 65,8

10 SUP 5,4 5,4 5,4 5,4 5,7 3,0 9,2 14,8 23,1 34,9INF 1,0 1,0 1,0 1,0 1,0 3,0 16,4 26,3 41,1 65,8

11 SUP 7,9 7,9 7,9 7,9 8,4 3,0 6,3 10,1 15,8 23,8INF 0,0 0,0 0,0 0,0 0,0 3,0 - - - -

MYE 7,1 7,1 7,1 7,1 7,1 2,6 7,1 11,3 17,7 28,0MYM 2,7 2,7 2,7 2,7 2,9 2,6 18,5 29,6 46,3 69,9

espaamento entre armadurasAs,f (cm)



CORTINAS, ALAS E CONSOLO

Cortinas


1) DEFINICAO DO CARREGAMENTO

q

H H = 2,06 m

e1 e2

1.1) DADOS DO ATERRO

Considerando o aterro com as seguintes propriedades:

Angulo de atrito interno do solo f = 30 graus

Coesao C = 0 tf/m

Peso especifico do solo g = 1,8 tf/m3

Zo=2c/g.ka= 0,00 m

obtem-se: coeficiente de espraiamento horizontal do solo:

ka = tg(45-f/2) = 0,333

1.2) CARREGAMENTO

Cargas moveis devidas ao trem tipo TB 45

carga q1 = 2,50 tf/m2

empuxo e1 = 0,83 tf/m2

Cargas permanentes devidas ao terreno

empuxo e2 =g.h.Ka-2cKa

e2 = 1,24 tf/m2

2) DIMENSIONAMENTO

DADOS: fck = 30,0 MPa fyk = 500,0 Mpab = 100,0 cm h = 30,0 cm

d' = 4,0 cm wk = 0,3 mm

2.1) LAJE CENTRAL

Momento Maximo = 2,64 tf.m/m

f= 12,5 mm As = 3,57 cm

Asf = 3,33 cm

Asmin = 3,90 cm

H

ADOTADO: 12,5 c/ 15

Armao Secundria:

e1 e2 Asmin = 3,90 cm

ADOTADO: 10 c/ 20

CALCULO DE CORTINA TIPO PEGAO PAULISTA

Cortina


3) ALAS

Guarda-rodas = 0,605 tf

H = 3,81 m

H1 = 0,55 m

H1 H2 = 3,26 m

B = 4,300 m

H B1 = 0,30 m

H2 B2 = 4,00 m

esp = 0,30 m

B2 B1

B

Considerando a ala engastada na cortina, e analisando o momento atuante

decorrente do empuxo de terra e acao do trem tipo movel, tem-se:

a) sobrecarga devida ao trem tipo

m1 = 3,473 tf.m/m

b) empuxo de terra

m2 = 2,649 tf.m/m

Momento Maximo = 6,12 tf.m/m

f= 10 mm As = 7,89 cm/m

Asf= 7,89 cm/m

Asmin= 3,90 cm/m

ADOTADO: 10 c/ 9,9

Cortina


e P

c

a = 20,00 cm

a b = 30,00 cm

c = 30,00 cm

b

d d = 25,00 cm

cobr. = 4,00 cm

e= 30,00 cm

a) Carga atuante no consolo

Peso proprio do consolo = 0,263 tf/m

Peso proprio da laje de Transicao = 1,345 tf/m

Carga Movel= 7,500 tf/m

P(total) = 9,108 tf/m

b) Verificacoes

- altura util: x = 24,00 cm

d,util = 20,00 cm < 25 cm OK!

- largura util: b,min = 18,03 cm

bw = 100 cm OK!

c) Armadura do tirante principal

Dados: fck = 25,0 MPa

fyk = 500,0 Mpa

gs= 1,15

As = 4,91 cm2/m

adotado 12,5 c/ 20

d) Armadura secundria

Ass = 0.3 % x As

Ass = 1,47 cm2/m

adotado: 10,05 10,0

CONSOLO PARA LAJE DE TRANSIO

Consolo LT


VIGAS PRINCIPAIS

Vigas Principais


Viga Externa - vo

Secao inicialAltura da viga: 200 cm

b h quant. d A A .d I1 A .(d-ycg)mesa 1,2 0,2 1 0,1 0,24 0,024 0,0008 0,165148misula 0,465 0,1 2 0,233333 0,0465 0,01085 2,58333E-05 0,022538alma 0,28 1,6 1 1 0,448 0,448 0,095573333 0,002225misula 0,235 0,3 2 1,7 0,0705 0,11985 0,0003525 0,041851mesa inf. 0,75 0,2 1 1,9 0,15 0,285 0,0005 0,141272

0,95500 0,8877 0,097251667 0,373034A= 0,9550 m

ycg= 0,9295 m Winf= 0.4702/1.0704= 0,439326 m31,0705 Wsup= 0.4702/0.9295= 0,50594 m3

Icg= 0,4703 m4

Secao finalAltura da viga: 200 cmAltura da lage: 20 cm

b h quant. d A A .d I1 A .(d-ycg)laje 2,225 0,2 1 0,1 0,445 0,0445 0,001483333 0,219476mesa 1,2 0,2 1 0,3 0,24 0,072 0,0008 0,06055misula 0,465 0,1 2 0,433333 0,0465 0,02015 2,58333E-05 0,00633alma 0,28 1,6 1 1,2 0,448 0,5376 0,095573333 0,070863misula 0,235 0,3 2 1,9 0,0705 0,13395 0,0003525 0,084951mesa inf. 0,75 0,2 1 2,1 0,15000 0,315 0,0005 0,252609

1,40000 1,1232 0,098735 0,694779A= 1,4000 m

ycg= 0,8023 m Winf= 0.7935/1.3977= 0,567723 m31,3977 Wsup= 0.7935/0.8022= 0,989067 m3

Icg= 0,7935 m4

Viga Externa - apoio

secao inicialAltura da viga: 200 cm

b h quant. d A A .d I1 A .(d-ycg)mesa 1,2 0,2 1 0,1 0,24 0,024 0,0008 0,165148misula 0,225 0,05 2 0,216667 0,01125 0,002438 1,5625E-06 0,005717alma 0,75 1,8 1 1,1 1,35 1,485 0,3645 0,039232misula 0 0 2 2 0 0 0 0mesa inf. 0 0 1 2 0 0 0 0

1,60125 1,511438 0,365301563 0,210097A= 1,6013 m

ycg= 0,9439 m Winf= 0.5753/1.056= 0,544839 m31,0561 Wsup= 0.5753/0.9439= 0,60959 m3

Icg= 0,5754 m4


b h quant. d A A .d I1 A .(d-ycg)laje 2,225 0,2 1 0,1 0,445 0,0445 0,001483333 0,219476mesa 1,2 0,2 1 0,3 0,24 0,072 0,0008 0,06055misula 0,225 0,05 2 0,416667 0,01125 0,004688 1,5625E-06 0,001673alma 0,75 1,8 1 1,3 1,35 1,755 0,3645 0,334421misula 0 0 2 2,2 0 0 0 0mesa inf. 0 0 1 2,2 0,00000 0 0 0

2,04625 1,876188 0,366784896 0,61612A= 2,0463 m

ycg= 0,9169 m Winf= 0.9829/1.2831= 0,766034 m31,2831 Wsup= 0.9829/0.9168= 1,071998 m3

Icg= 0,9829 m4

DETERMINACAO DAS PROPRIEDADES GEOMETRICAS

Prop. Geometricas


Viga Interna - vo


b h quant. d A A .d I1 A .(d-ycg)mesa 1,2 0,2 1 0,1 0,24 0,024 0,0008 0,165148misula 0,465 0,1 2 0,233333 0,0465 0,01085 2,58333E-05 0,022538alma 0,28 1,6 1 1 0,448 0,448 0,095573333 0,002225misula 0,235 0,3 2 1,7 0,0705 0,11985 0,0003525 0,041851mesa inf. 0,75 0,2 1 1,9 0,15 0,285 0,0005 0,141272

0,95500 0,8877 0,097251667 0,373034A= 0,9550 m

ycg= 0,9295 m Winf= 0.4702/1.0704= 0,439326 m31,0705 Wsup= 0.4702/0.9295= 0,50594 m3

Icg= 0,4703 m4


b h quant. d A A .d I1 A .(d-ycg)laje 2,3 0,2 1 0,1 0,46 0,046 0,001533333 0,226874mesa 1,2 0,2 1 0,3 0,24 0,072 0,0008 0,06055misula 0,465 0,1 2 0,433333 0,0465 0,02015 2,58333E-05 0,00633alma 0,28 1,6 1 1,2 0,448 0,5376 0,095573333 0,070863misula 0,235 0,3 2 1,9 0,0705 0,13395 0,0003525 0,084951mesa inf. 0,75 0,2 1 2,1 0,15000 0,315 0,0005 0,252609

1,41500 1,1247 0,098785 0,702177A= 1,4150 m

ycg= 0,7948 m Winf= 0.8009/1.4051= 0,570016 m31,4052 Wsup= 0.8009/0.7948= 1,007701 m3

Icg= 0,8010 m4

Viga Interna - apoio


b h quant. d A A .d I1 A .(d-ycg)mesa 1,2 0,2 1 0,1 0,24 0,024 0,0008 0,165148misula 0,225 0,05 2 0,216667 0,01125 0,002438 1,5625E-06 0,005717alma 0,75 1,8 1 1,1 1,35 1,485 0,3645 0,039232misula 0 0 2 2 0 0 0 0mesa inf. 0 0 1 2 0 0 0 0

1,60125 1,511438 0,365301563 0,210097A= 1,6013 m

ycg= 0,9439 m Winf= 0.5753/1.056= 0,544839 m31,0561 Wsup= 0.5753/0.9439= 0,60959 m3

Icg= 0,5754 m4


b h quant. d A A .d I1 A .(d-ycg)laje 2,3 0,2 1 0,1 0,46 0,046 0,001533333 0,226874mesa 1,2 0,2 1 0,3 0,24 0,072 0,0008 0,06055misula 0,225 0,05 2 0,416667 0,01125 0,004688 1,5625E-06 0,001673alma 0,75 1,8 1 1,3 1,35 1,755 0,3645 0,334421misula 0 0 2 2,2 0 0 0 0mesa inf. 0 0 1 2,2 0,00000 0 0 0

2,06125 1,877688 0,366834896 0,623518A= 2,0613 m

ycg= 0,9109 m Winf= 0.9903/1.289= 0,768279 m31,2891 Wsup= 0.9903/0.9109= 1,08717 m3

Icg= 0,9904 m4

Prop. Geometricas


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m

0 0 0 0 0 0 00,51 3,18E-12 2,0416 1,14E-13 -2,27E-14 -1,14E-15 -0,520610,51 -1,677 -37,8961 -2,27E-13 -5,50E-12 -4,26E-13 -2,67903

1 -1,677 -35,9346 -2,27E-13 -5,50E-12 -3,15E-13 15,409481 -1,677 -35,9346 -8,88E-15 -5,54E-12 -3,77E-13 15,21581

3,619 -1,677 -29,685 -8,88E-15 -5,54E-12 -3,53E-13 101,14463,619 -1,677 -29,685 -6,63E-15 -5,54E-12 -3,55E-13 101,14466,728 -1,677 -22,2661 -6,63E-15 -5,52E-12 -3,33E-13 181,90256,728 -1,677 -22,2661 -7,11E-15 -5,52E-12 -3,38E-13 181,90259,837 -1,677 -14,8473 -7,11E-15 -5,52E-12 -3,15E-13 239,59539,837 -1,677 -14,8473 -3,55E-15 -5,52E-12 -3,13E-13 239,5953

12,946 -1,677 -7,4284 -3,55E-15 -5,52E-12 -3,02E-13 274,222812,946 -1,677 -7,4284 -7,59E-15 -5,52E-12 -2,95E-13 274,222816,055 -1,677 -0,0096 -7,59E-15 -5,52E-12 -2,73E-13 285,785216,055 -1,677 -0,0096 -7,11E-15 -5,52E-12 -2,81E-13 285,785219,164 -1,677 7,4093 -7,11E-15 -5,52E-12 -2,59E-13 274,282319,164 -1,677 7,4093 -5,33E-15 -5,53E-12 -2,63E-13 274,282322,273 -1,677 14,8281 -5,33E-15 -5,53E-12 -2,46E-13 239,714222,273 -1,677 14,8281 -7,11E-15 -5,53E-12 -2,35E-13 239,714225,382 -1,677 22,247 -7,11E-15 -5,53E-12 -2,12E-13 182,080925,382 -1,677 22,247 -7,11E-15 -5,52E-12 -2,27E-13 182,080928,491 -1,677 29,6658 -7,11E-15 -5,52E-12 -2,05E-13 101,382428,491 -1,677 29,6658 -7,11E-15 -5,53E-12 -2,06E-13 101,3824

31 -1,677 35,6529 -7,11E-15 -5,53E-12 -1,88E-13 19,4399931 -1,677 35,6529 -1,14E-13 -5,50E-12 -1,71E-13 19,63366

31,6 -1,677 38,0548 -1,14E-13 -5,50E-12 -1,02E-13 -2,4786731,6 0 -1,6012 4,55E-13 -1,09E-13 5,68E-14 -0,32025

32 0 2,85E-13 4,55E-13 -1,09E-13 -1,25E-13 1,24E-1332 0 0 0 0 0 0

32,4 0 1,6012 0 0 0 -0,3202532,4 -1,7503 -38,1956 0 1,60E-13 2,84E-14 -2,57299

33 -1,7503 -35,7937 0 1,60E-13 2,84E-14 19,6238233 -1,7503 -35,7937 4,17E-15 1,54E-13 1,07E-14 19,42169

35,52 -1,7503 -29,7804 4,17E-15 1,84E-13 1,71E-15 102,045135,52 -1,7503 -29,7804 0 1,85E-13 1,07E-14 102,045138,64 -1,7503 -22,3353 0 1,85E-13 1,07E-14 183,345638,64 -1,7503 -22,3353 1,28E-15 1,85E-13 1,42E-14 183,345641,76 -1,7503 -14,8902 1,28E-15 1,68E-13 8,67E-15 241,417441,76 -1,7503 -14,8902 1,78E-15 1,68E-13 7,11E-15 241,417444,88 -1,7503 -7,4451 1,78E-15 1,68E-13 1,56E-15 276,260544,88 -1,7503 -7,4451 1,78E-15 1,68E-13 0 276,2605

48 -1,7503 8,44E-14 1,78E-15 1,68E-13 -5,54E-15 287,874848 -1,7503 -4,55E-13 -1,78E-15 1,69E-13 -3,55E-15 287,8748

51,12 -1,7503 7,4451 -1,78E-15 1,69E-13 1,99E-15 276,260551,12 -1,7503 7,4451 1,78E-15 1,68E-13 -3,55E-15 276,260554,24 -1,7503 14,8902 1,78E-15 1,68E-13 -9,10E-15 241,417454,24 -1,7503 14,8902 1,78E-15 1,68E-13 -3,55E-15 241,417457,36 -1,7503 22,3353 1,78E-15 1,68E-13 -9,10E-15 183,345657,36 -1,7503 22,3353 -1,78E-15 1,69E-13 -3,55E-15 183,345660,48 -1,7503 29,7804 -1,78E-15 1,69E-13 1,99E-15 102,045160,48 -1,7503 29,7804 3,55E-15 1,67E-13 -7,11E-15 102,0451

63 -1,7503 35,7938 3,55E-15 1,67E-13 -1,61E-14 19,4216963 -1,7503 35,7938 1,14E-13 1,48E-13 -2,84E-14 19,62382

63,6 -1,7503 38,1956 1,14E-13 1,48E-13 -9,66E-14 -2,5729963,6 -4,43E-12 -1,6013 -2,27E-13 5,25E-14 0 -0,32025

64 -4,43E-12 -1,53E-12 -2,27E-13 5,25E-14 9,10E-14 -1,73E-1364 0 0 0 0 0 0

64,4 0 1,6013 0 -7,11E-16 -5,68E-14 -0,3202564,4 -1,7599 -38,1956 -2,30E-13 1,20E-13 -5,68E-14 -2,5854

65 -1,7599 -35,7938 -2,30E-13 8,74E-14 7,96E-14 19,6114165 -1,7599 -35,7937 7,11E-15 2,96E-14 7,11E-15 19,40817

67,52 -1,7599 -29,7804 7,11E-15 2,96E-14 -1,08E-14 102,031667,52 -1,7599 -29,7804 3,55E-15 3,11E-14 7,11E-15 102,031670,64 -1,7599 -22,3353 3,55E-15 3,11E-14 -3,98E-15 183,332170,64 -1,7599 -22,3353 -7,11E-15 3,46E-14 -1,42E-14 183,3321

ESFOROS - VIGA ISOLADA

Esf. Viga Isolada


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m73,76 -1,7599 -14,8902 -7,11E-15 3,46E-14 7,96E-15 241,403973,76 -1,7599 -14,8902 3,55E-15 3,09E-14 7,11E-15 241,403976,88 -1,7599 -7,4451 3,55E-15 3,09E-14 -3,98E-15 276,246976,88 -1,7599 -7,4451 -7,11E-15 3,47E-14 -7,11E-15 276,2469

80 -1,7599 5,56E-13 -7,11E-15 3,47E-14 1,51E-14 287,861380 -1,7599 0 0 3,21E-14 0 287,8613

83,12 -1,7599 7,4451 0 3,21E-14 0 276,246983,12 -1,7599 7,4451 -7,11E-15 3,45E-14 0 276,246986,24 -1,7599 14,8902 -7,11E-15 3,45E-14 2,22E-14 241,403986,24 -1,7599 14,8902 0 3,22E-14 0 241,403989,36 -1,7599 22,3353 0 3,22E-14 0 183,332189,36 -1,7599 22,3353 0 3,21E-14 0 183,332192,48 -1,7599 29,7804 0 3,21E-14 0 102,031692,48 -1,7599 29,7804 0 3,24E-14 0 102,0316

95 -1,7599 35,7937 0 3,24E-14 0 19,4081795 -1,7599 35,7938 2,27E-13 -1,70E-14 0 19,61141

95,6 -1,7599 38,1956 2,27E-13 -1,70E-14 -1,36E-13 -2,585495,6 0 -1,6012 4,55E-13 -1,05E-13 1,71E-13 -0,32025

96 0 3,14E-13 4,55E-13 -1,05E-13 -1,14E-14 -7,86E-1396 0 0 0 0 0 0

96,4 -4,32E-12 1,6013 4,55E-13 -1,05E-13 -1,25E-13 -0,3202596,4 -1,7172 -38,0548 -2,30E-13 -6,81E-14 0 -2,53038

97 -1,7172 -35,6529 -2,30E-13 -1,01E-13 1,36E-13 19,5819597 -1,7172 -35,6529 -3,55E-15 -1,53E-13 7,11E-15 19,38365

Esf. Viga Isolada


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m99,52 -1,7172 -29,6396 -3,55E-15 -1,53E-13 1,61E-14 101,652299,52 -1,7172 -29,6396 0 -1,54E-13 7,11E-15 101,6522

102,64 -1,7172 -22,1945 0 -1,54E-13 7,11E-15 182,5134102,64 -1,7172 -22,1945 1,78E-15 -1,54E-13 -3,55E-15 182,5134105,76 -1,7172 -14,7494 1,78E-15 -1,54E-13 -9,10E-15 240,1459105,76 -1,7172 -14,7494 -1,78E-15 -1,53E-13 -3,55E-15 240,1459108,88 -1,7172 -7,3043 -1,78E-15 -1,53E-13 1,99E-15 274,5496108,88 -1,7172 -7,3043 -1,78E-15 -1,53E-13 -3,55E-15 274,5496

112 -1,7172 0,1408 -1,78E-15 -1,53E-13 1,99E-15 285,7247112 -1,7172 0,1408 3,55E-15 -1,55E-13 3,55E-15 285,7247

115,12 -1,7172 7,5859 3,55E-15 -1,55E-13 -7,53E-15 273,671115,12 -1,7172 7,5859 0 -1,54E-13 0 273,671118,24 -1,7172 15,031 0 -1,54E-13 0 238,3886118,24 -1,7172 15,031 1,78E-15 -1,54E-13 0 238,3886121,36 -1,7172 22,4761 1,78E-15 -1,54E-13 -5,54E-15 179,8775121,36 -1,7172 22,4761 0 -1,54E-13 0 179,8775124,48 -1,7172 29,9212 0 -1,54E-13 0 98,13773124,48 -1,7172 29,9212 0 -1,54E-13 0 98,13773

127 -1,7172 35,9346 0 -1,54E-13 0 15,15947127 -1,7172 35,9346 1,14E-13 -1,80E-13 0 15,35777

127,49 -1,7172 37,8961 1,14E-13 -1,80E-13 -5,57E-14 -2,73073127,49 0 -2,0416 -5,68E-14 1,31E-14 -1,42E-14 -0,52061

128 0 -1,54E-13 -5,68E-14 1,31E-14 1,48E-14 -1,23E-120 0 0 0 0 0 0

0,51 0 2,0416 5,68E-14 -1,67E-14 -2,90E-14 -0,520610,51 -1,6988 -37,8961 -8,83E-14 1,27E-10 -4,83E-13 -2,70712

1 -1,6988 -35,9346 -8,83E-14 1,27E-10 -4,40E-13 15,381391 -1,6988 -35,9346 -8,31E-15 1,27E-10 -4,55E-13 15,1852

3,619 -1,6988 -29,685 -8,31E-15 1,27E-10 -4,33E-13 101,1143,619 -1,6988 -29,685 -8,88E-15 1,27E-10 -4,32E-13 101,1146,728 -1,6988 -22,2661 -8,88E-15 1,27E-10 -4,04E-13 181,87196,728 -1,6988 -22,2661 -9,37E-15 1,27E-10 -4,03E-13 181,87199,837 -1,6988 -14,8473 -9,37E-15 1,27E-10 -3,76E-13 239,56479,837 -1,6988 -14,8473 -9,77E-15 1,27E-10 -3,75E-13 239,5647

12,946 -1,6988 -7,4284 -9,77E-15 1,27E-10 -3,44E-13 274,192212,946 -1,6988 -7,4284 -8,88E-15 1,27E-10 -3,50E-13 274,192216,055 -1,6988 -0,0096 -8,88E-15 1,27E-10 -3,22E-13 285,754616,055 -1,6988 -0,0096 -1,02E-14 1,27E-10 -3,23E-13 285,754619,164 -1,6988 7,4093 -1,02E-14 1,27E-10 -2,90E-13 274,251719,164 -1,6988 7,4093 -1,07E-14 1,27E-10 -2,91E-13 274,251722,273 -1,6988 14,8281 -1,07E-14 1,27E-10 -2,58E-13 239,683622,273 -1,6988 14,8281 -5,33E-15 1,27E-10 -2,59E-13 239,683625,382 -1,6988 22,247 -5,33E-15 1,27E-10 -2,43E-13 182,050325,382 -1,6988 22,247 -1,07E-14 1,27E-10 -2,31E-13 182,050328,491 -1,6988 29,6658 -1,07E-14 1,27E-10 -1,98E-13 101,351828,491 -1,6988 29,6658 -3,55E-15 1,27E-10 -2,06E-13 101,3518

31 -1,6988 35,6529 -3,55E-15 1,27E-10 -1,99E-13 19,4093831 -1,6988 35,6529 0 1,27E-10 -1,72E-13 19,60556

31,6 -1,6988 38,0548 0 1,27E-10 -1,71E-13 -2,5067731,6 -4,55E-12 -1,6012 0 -5,33E-15 -5,68E-14 -0,32025

32 -4,55E-12 2,85E-13 0 -5,33E-15 -5,68E-14 -9,27E-1332 0 0 0 0 0 0

32,4 -4,55E-12 1,6012 0 0 -5,68E-14 -0,3202532,4 -1,7557 -38,1956 1,14E-13 1,59E-13 0 -2,58003

33 -1,7557 -35,7938 1,14E-13 1,59E-13 -6,82E-14 19,6167833 -1,7557 -35,7937 7,11E-15 1,84E-13 1,42E-14 19,41402

35,52 -1,7557 -29,7804 7,11E-15 1,84E-13 -3,70E-15 102,037535,52 -1,7557 -29,7804 -4,05E-15 1,88E-13 7,11E-15 102,037538,64 -1,7557 -22,3353 -4,05E-15 1,65E-13 1,82E-14 183,337938,64 -1,7557 -22,3353 3,55E-15 1,62E-13 7,11E-15 183,337941,76 -1,7557 -14,8902 3,55E-15 1,62E-13 -3,98E-15 241,409741,76 -1,7557 -14,8902 5,00E-16 1,63E-13 3,55E-15 241,409744,88 -1,7557 -7,4451 5,00E-16 1,73E-13 3,55E-15 276,252844,88 -1,7557 -7,4451 0 1,73E-13 7,11E-15 276,2528

48 -1,7557 5,39E-13 0 1,73E-13 5,55E-15 287,867248 -1,7557 0 7,11E-15 1,71E-13 5,55E-15 287,8672

Esf. Viga Isolada


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m51,12 -1,7557 7,4451 7,11E-15 1,71E-13 -1,51E-14 276,252851,12 -1,7557 7,4451 3,05E-15 1,72E-13 -3,55E-15 276,252854,24 -1,7557 14,8902 3,05E-15 1,82E-13 -1,46E-14 241,409754,24 -1,7557 14,8902 -3,05E-15 1,84E-13 0 241,409757,36 -1,7557 22,3353 -3,05E-15 1,68E-13 1,11E-14 183,337957,36 -1,7557 22,3353 7,11E-15 1,64E-13 3,55E-15 183,337960,48 -1,7557 29,7804 7,11E-15 1,64E-13 -1,86E-14 102,037560,48 -1,7557 29,7804 0 1,67E-13 0 102,0375

63 -1,7557 35,7938 0 1,67E-13 0 19,4140263 -1,7557 35,7937 1,14E-13 1,44E-13 5,68E-14 19,61678

63,6 -1,7557 38,1956 1,14E-13 1,44E-13 -1,14E-14 -2,5800363,6 -4,43E-12 -1,6013 -4,55E-13 1,12E-13 -5,68E-14 -0,32025

64 -4,43E-12 -6,24E-13 -4,55E-13 1,12E-13 1,25E-13 3,73E-1364 0 0 0 0 0 0

64,4 4,41E-12 1,6013 0 0 -1,42E-14 -0,3202564,4 -1,7613 -38,1956 -5,95E-14 5,96E-14 -2,84E-14 -2,58716

65 -1,7613 -35,7937 -5,95E-14 2,67E-14 5,68E-15 19,6096665 -1,7613 -35,7937 2,40E-15 -1,15E-14 3,55E-15 19,40626

67,52 -1,7613 -29,7804 2,40E-15 1,76E-14 -9,24E-16 102,029767,52 -1,7613 -29,7804 -1,78E-15 2,01E-14 -1,78E-15 102,029770,64 -1,7613 -22,3353 -1,78E-15 2,01E-14 3,77E-15 183,330270,64 -1,7613 -22,3353 0 1,95E-14 1,78E-15 183,330273,76 -1,7613 -14,8902 0 1,95E-14 1,78E-15 241,40273,76 -1,7613 -14,8902 1,28E-15 1,77E-14 1,78E-15 241,40276,88 -1,7613 -7,4451 1,28E-15 7,81E-15 -3,77E-15 276,24576,88 -1,7613 -7,4451 -2,16E-15 1,07E-14 -5,33E-15 276,245

80 -1,7613 5,56E-13 -2,16E-15 1,40E-14 2,98E-15 287,859480 -1,7613 0 8,88E-16 1,21E-14 -1,78E-15 287,8594

83,12 -1,7613 7,4451 8,88E-16 1,21E-14 -4,55E-15 276,24583,12 -1,7613 7,4451 -5,01E-16 1,24E-14 -3,55E-15 276,24586,24 -1,7613 14,8902 -5,01E-16 2,23E-14 -3,55E-15 241,40286,24 -1,7613 14,8902 5,01E-16 2,25E-14 -3,55E-15 241,40289,36 -1,7613 22,3353 5,01E-16 6,00E-15 -3,55E-15 183,330289,36 -1,7613 22,3353 0 6,66E-15 -5,33E-15 183,330292,48 -1,7613 29,7804 0 6,66E-15 -5,33E-15 102,029792,48 -1,7613 29,7804 -1,78E-15 6,36E-15 -3,55E-15 102,0297

95 -1,7613 35,7937 -1,78E-15 6,36E-15 9,24E-16 19,4062695 -1,7613 35,7937 -1,16E-13 3,99E-14 -4,26E-14 19,60966

95,6 -1,7613 38,1956 -1,16E-13 7,27E-14 2,56E-14 -2,5871695,6 0 -1,6012 0 -7,11E-16 2,84E-14 -0,32025

96 0 3,14E-13 0 0 2,84E-14 1,03E-1296 0 0 0 0 0 0

96,4 4,32E-12 1,6013 0 0 5,68E-14 -0,3202596,4 -1,7175 -38,0548 -2,54E-15 -1,40E-14 0 -2,53085

97 -1,7175 -35,6529 -2,54E-15 -4,68E-14 0 19,5814897 -1,7175 -35,6529 -2,95E-15 -4,45E-14 -1,07E-14 19,38313

99,52 -1,7175 -29,6396 -2,95E-15 -1,55E-14 -1,71E-15 101,651799,52 -1,7175 -29,6396 1,78E-15 -1,72E-14 3,55E-15 101,6517

102,64 -1,7175 -22,1945 1,78E-15 -1,72E-14 -1,99E-15 182,5129102,64 -1,7175 -22,1945 0 -1,65E-14 0 182,5129105,76 -1,7175 -14,7494 0 -1,65E-14 0 240,1454105,76 -1,7175 -14,7494 -2,27E-15 -1,57E-14 0 240,1454108,88 -1,7175 -7,3043 -2,27E-15 -2,54E-14 5,54E-15 274,5491108,88 -1,7175 -7,3043 2,27E-15 -2,71E-14 0 274,5491

112 -1,7175 0,1408 2,27E-15 -2,40E-14 -5,54E-15 285,7242112 -1,7175 0,1408 0 -2,32E-14 -1,78E-15 285,7242

115,12 -1,7175 7,5859 0 -2,32E-14 -1,78E-15 273,6705115,12 -1,7175 7,5859 -2,27E-15 -2,24E-14 0 273,6705118,24 -1,7175 15,031 -2,27E-15 -1,24E-14 5,54E-15 238,3881118,24 -1,7175 15,031 4,89E-16 -1,32E-14 0 238,3881121,36 -1,7175 22,4761 4,89E-16 -2,99E-14 0 179,877121,36 -1,7175 22,4761 8,88E-16 -3,01E-14 0 179,877124,48 -1,7175 29,9212 8,88E-16 -3,01E-14 -2,77E-15 98,13722124,48 -1,7175 29,9212 -1,78E-15 -2,92E-14 0 98,13722

127 -1,7175 35,9346 -1,78E-15 -2,92E-14 4,48E-15 15,15896127 -1,7175 35,9346 -3,11E-15 -3,14E-14 -1,42E-14 15,3573

127,49 -1,7175 37,8961 -3,11E-15 1,40E-15 -1,42E-14 -2,7312127,49 3,41E-12 -2,0416 0 -4,46E-15 0 -0,52061

128 3,41E-12 -1,54E-13 0 -3,55E-15 0 4,69E-13

Esf. Viga Isolada



0 -0,0144 -0,0502 -1,9738 -1,54114 0,15024 0,012550,51 -0,0144 2,5588 -1,9738 -1,56242 1,1569 -0,627140,51 0,753 -51,1947 -2,3464 -2,25163 1,70574 -0,61357

1 0,753 -48,688 -2,3464 -2,27207 2,8555 23,857691 2,1191 -53,7063 -0,1445 -0,76652 2,93292 23,07219

3,619 3,0122 -44,4794 -1,327 -1,58495 3,01853 151,032193,619 5,334 -44,4122 -1,3026 -1,36824 3,13368 149,414376,728 6,4745 -33,3752 -1,2657 -1,41126 4,09368 269,545196,728 8,455 -33,2391 -1,4909 -1,39989 4,31158 268,164129,837 9,472 -22,1601 -0,8433 -1,06201 5,42121 353,575169,837 10,7746 -21,9898 -1,0303 -1,06054 5,60529 352,66737

12,946 11,3377 -10,8895 -0,3287 -0,70599 6,24449 403,3870812,946 11,9437 -10,6994 -0,516 -0,72643 6,38157 402,965116,055 12,0094 0,4121 0,1642 -0,40417 6,55821 418,9131616,055 11,9413 0,6161 -0,0365 -0,4537 6,61629 418,9611819,164 11,5726 11,7322 0,5969 -0,18218 6,39437 400,0260519,164 10,878 11,9458 0,3638 -0,27425 6,3154 400,5111222,273 10,2601 23,0564 0,8908 -0,09494 5,80088 346,534322,273 9,0396 23,267 0,5758 -0,25802 5,46703 347,3870225,382 8,6359 34,3498 0,8216 -0,28505 4,9389 258,1032925,382 7,1132 34,5235 0,317 -0,56295 4,11411 259,1693628,491 7,9983 45,525 -0,4429 -1,25366 4,72612 134,1055828,491 6,7186 45,5744 -0,6972 -1,29865 3,3932 135,00577

31 9,5427 54,2882 -2,2189 -2,36795 4,24547 7,7355731 8,8848 37,6818 0,0482 0,71453 3,46789 6,1202

31,6 8,8848 40,7512 0,0482 0,6895 3,43896 -17,4096931,6 12,5925 -6,3293 1,1697 -0,46811 2,02006 -13,63757

32 12,5925 -4,283 1,1697 -0,4848 1,55218 -11,515132 -0,1842 -0,3711 -1,4965 -0,80407 0,31468 0,14832

32,4 -0,1842 1,6752 -1,4965 -0,82075 0,91329 -0,1125132,4 9,7616 -39,6254 -0,4886 -3,30986 3,54209 -12,98669

33 9,7616 -36,556 -0,4886 -3,33489 3,83524 9,8677333 10,468 -53,8215 2,0885 1,72687 4,61246 11,38584

35,52 7,8618 -45,1646 0,7504 0,93072 3,53438 137,9633435,52 9,1269 -45,1299 0,5075 0,93144 4,90188 137,0740438,64 8,165 -34,0986 -0,2336 0,27123 4,10843 261,3550538,64 9,6073 -33,927 -0,7402 -0,00395 5,02548 260,3451841,76 9,8564 -22,8059 -0,4941 -0,0327 5,45795 348,6767341,76 10,9874 -22,5849 -0,8084 -0,20897 5,88547 347,8865244,88 11,4295 -11,4301 -0,2841 -0,04756 6,33232 400,6408944,88 12,04 -11,1931 -0,5178 -0,17283 6,48988 400,21463

48 12,2334 -0,0265 0,0958 0,05241 6,67346 417,5819748 12,2425 0,2148 -0,118 -0,06019 6,65497 417,57563

51,12 12,074 11,3824 0,4911 0,16005 6,51863 399,602451,12 11,4861 11,6229 0,2528 0,02695 6,31859 400,0128454,24 11,0941 22,7809 0,7595 0,17037 5,93558 346,6176254,24 10,0033 23,0089 0,432 -0,0246 5,44442 347,3798857,36 9,8737 34,1355 0,634 -0,0945 5,12494 258,3234357,36 8,5135 34,3178 0,0955 -0,40656 4,09336 259,2760760,48 9,7437 45,3606 -0,7528 -1,16422 5,1414 134,1072960,48 8,6183 45,4106 -1,0561 -1,24149 3,59534 134,89951

63 11,612 54,1586 -2,55 -2,28507 5,16168 7,3301863 11,057 37,5925 -0,0892 0,91192 4,22541 5,50182

63,6 11,057 40,6618 -0,0892 0,88688 4,2789 -17,9744763,6 14,5013 -5,393 1,2778 -0,12456 2,76503 -14,63686

64 14,5013 -3,3468 1,2778 -0,14125 2,25391 -12,8888964 -0,1836 -0,346 -1,4372 -0,78556 0,31375 0,14916

64,4 -0,1836 1,7002 -1,4372 -0,80225 0,88863 -0,1216764,4 11,2899 -39,7814 -0,0774 -2,83361 4,18248 -15,20103

65 11,2899 -36,712 -0,0774 -2,85864 4,2289 7,74701

ESFOROS - CARGA PERMANENTE (VIGA ISOLADA + TABULEIRO)

Esf. Dead



65 11,9043 -53,9134 2,4778 2,02387 5,1387 9,506967,52 9,0104 -45,2415 1,037 1,1347 3,57942 136,49667,52 10,1367 -45,2022 0,7443 1,09344 5,12408 135,703670,64 8,8847 -34,1673 -0,0729 0,37538 4,07435 260,4068470,64 10,2234 -33,9924 -0,6057 0,07803 5,12128 259,4693273,76 10,2859 -22,8695 -0,3962 0,02168 5,42157 348,1322773,76 11,3472 -22,6468 -0,7228 -0,16527 5,93738 347,3906976,88 11,6627 -11,4914 -0,2154 -0,01647 6,29862 400,4254976,88 12,2206 -11,2541 -0,4541 -0,14571 6,52412 400,03604

80 12,3133 -0,0878 0,1541 0,07583 6,63993 417,6641780 12,2755 0,1525 -0,0602 -0,03621 6,68252 417,69062

83,12 12,0097 11,3191 0,5519 0,18706 6,48012 399,9810583,12 11,372 11,5573 0,3173 0,05892 6,34466 400,4262986,24 10,8639 22,7133 0,8378 0,21386 5,88183 347,3196586,24 9,7098 22,9377 0,5209 0,03027 5,47152 348,1261289,36 9,4127 34,0612 0,7557 -0,0136 5,03112 259,4133589,36 7,9593 34,2384 0,2414 -0,30328 4,11703 260,4310892,48 8,9254 45,2769 -0,5365 -1,00707 4,93198 135,7008792,48 7,6735 45,3218 -0,7965 -1,04684 3,5466 136,58097

95 10,3815 54,058 -2,2006 -2,01185 4,70738 9,4485495 9,7337 37,4035 0,2846 1,39359 3,89326 7,85209

95,6 9,7337 40,4729 0,2846 1,36856 3,72248 -15,5108395,6 12,7506 -4,3635 1,5862 0,39107 2,29507 -12,59745

96 12,7506 -2,3173 1,5862 0,37438 1,6606 -11,2612996 -0,1883 -0,3253 -1,5409 -0,89468 0,31766 0,15447

96,4 -0,1883 1,721 -1,5409 -0,91137 0,93401 -0,1246896,4 9,2528 -39,8975 -0,2084 -2,63476 3,49921 -14,41246

97 9,2528 -36,8281 -0,2084 -2,65979 3,62423 8,605297 9,9654 -54,0473 2,1977 2,07627 4,39177 10,14341

99,52 7,2226 -45,3647 0,7261 1,14894 3,40183 137,3488199,52 8,4913 -45,3267 0,4728 1,13458 4,76708 136,45716

102,64 7,5269 -34,2939 -0,2629 0,47626 4,08385 261,35056102,64 9,0053 -34,1266 -0,7647 0,21095 4,96415 260,3156105,76 9,2819 -23,008 -0,5102 0,19487 5,4375 349,25354105,76 10,4479 -22,7994 -0,8242 0,03644 5,83004 348,43899108,88 10,9234 -11,651 -0,2926 0,21801 6,29311 401,84774108,88 11,5594 -11,4355 -0,5248 0,12395 6,42705 401,40373

112 11,7757 -0,2803 0,1122 0,39112 6,59902 419,52717112 11,7816 -0,0712 -0,0879 0,33343 6,59136 419,52287

115,12 11,5568 11,0793 0,5939 0,64408 6,36544 402,50532115,12 10,886 11,2759 0,4053 0,60909 6,27283 402,97307118,24 10,1731 22,4123 1,1 0,94097 5,58761 350,91518118,24 8,8095 22,5868 0,9035 0,92004 5,43454 351,86636121,36 7,7055 33,6938 1,512 1,20982 4,30548 264,83571121,36 5,6911 33,824 1,254 1,18743 4,08242 266,24188124,48 4,6709 44,8711 1,1169 1,00798 3,27377 144,18032124,48 2,4327 44,9118 1,1721 1,24419 3,11137 145,74107

127 1,9795 53,725 -0,1221 0,37107 2,9146 21,76169127 0,6236 45,0553 2,0116 2,18687 2,94661 22,35237

127,49 0,6236 47,562 2,0116 2,16642 1,96091 -0,33888127,49 -0,0528 -2,5118 2,0088 1,53387 1,27323 -0,56082

128 -0,0528 0,0972 2,0088 1,51259 0,24874 0,054910 0,1529 -0,048 2,0369 1,591 -0,31533 -0,12305

0,51 0,1529 2,561 2,0369 1,61227 -1,35416 -0,763840,51 0,7124 -50,6701 2,2987 2,59398 -1,67947 -0,89719

1 0,7124 -48,1634 2,2987 2,61442 -2,80583 23,317021 0,5046 -53,461 0,1017 0,79077 -3,0248 23,58019

3,619 3,0266 -44,2601 1,3595 1,66011 -2,8449 149,789593,619 2,5023 -44,2341 1,3313 1,44127 -3,20283 150,143086,728 5,2788 -33,2224 1,2781 1,47439 -3,93564 268,613276,728 4,8813 -33,1306 1,4968 1,45959 -4,38021 268,883319,837 7,1424 -22,0762 0,8279 1,10853 -5,26726 353,123839,837 6,8236 -21,9498 1,0103 1,10421 -5,63564 353,34179

12,946 8,0935 -10,8734 0,286 0,73447 -6,09711 403,4790712,946 7,8708 -10,7286 0,4687 0,74994 -6,36982 403,6325416,055 8,0876 0,3583 -0,2351 0,41004 -6,41902 419,60323

Esf. Dead



16,055 7,9873 0,5144 -0,0389 0,45122 -6,56344 419,6737619,164 7,2159 11,604 -0,6959 0,15889 -6,26351 401,3771419,164 7,2835 11,7657 -0,4672 0,23783 -6,22155 401,3333422,273 5,7225 22,8464 -1,0166 0,03387 -5,67522 348,6219922,273 6,0479 23,0001 -0,7026 0,17968 -5,33039 348,4019425,382 4,2048 34,0482 -0,9431 0,19542 -4,84472 261,0084425,382 4,9701 34,1595 -0,3913 0,48348 -3,95391 260,4860928,491 4,0406 45,1241 0,6704 1,36595 -5,26957 137,8820928,491 5,5201 45,1204 1,3171 1,66633 -3,69873 136,87275

31 5,2109 53,7978 3,6112 3,25898 -8,74957 12,9793231 4,7393 37,3416 0,6239 -0,02256 -8,77019 11,68842

31,6 4,7393 40,411 0,6239 0,00247 -9,14452 -11,6373631,6 7,0256 -2,9537 -1,5463 0,19607 -8,56172 -6,87572

32 7,0256 -0,9075 -1,5463 0,21276 -7,94319 -6,1034932 0,0219 -0,3604 1,5408 0,85191 -0,1026 -0,01939

32,4 0,0219 1,6859 1,5408 0,8686 -0,71894 -0,2844932,4 5,3964 -39,4043 -0,5915 2,43384 -9,05435 -9,92548

33 5,3964 -36,3349 -0,5915 2,45887 -8,69946 12,7962733 5,6828 -53,5213 -3,653 -2,71384 -8,96013 14,10787

35,52 5,9305 -44,8966 -1,4431 -1,32058 -3,72162 137,9726835,52 4,3314 -44,9077 -0,8095 -1,0589 -5,4656 139,0660638,64 5,0193 -33,9055 0,2178 -0,20881 -3,89423 261,5431338,64 4,0953 -33,7866 0,7669 0,08377 -5,00597 262,1760541,76 5,6366 -22,6927 0,5214 0,10466 -5,25297 349,2074741,76 5,151 -22,5221 0,8326 0,26867 -5,81898 349,5393944,88 6,3774 -11,3923 0,2834 0,08368 -6,14602 401,5877244,88 6,1602 -11,2051 0,5114 0,19555 -6,39443 401,73611

48 6,5857 -0,0634 -0,1278 -0,05343 -6,5033 419,0168348 6,5667 0,1269 0,0804 0,04441 -6,52604 419,03011

51,12 6,0705 11,2679 -0,5545 -0,20133 -6,36254 401,6014751,12 6,2539 11,454 -0,3223 -0,08706 -6,15416 401,4766854,24 4,9809 22,5819 -0,8568 -0,26094 -5,78672 349,2711354,24 5,4471 22,7504 -0,5356 -0,09079 -5,24231 348,9527557,36 3,9115 33,8416 -0,7516 -0,04709 -4,99207 261,7413457,36 4,842 33,9581 -0,185 0,25785 -3,86945 261,1037960,48 4,2288 44,9622 0,9006 1,16119 -5,53823 138,4085460,48 5,842 44,9552 1,5578 1,46336 -3,77578 137,30555

63 5,6644 53,6654 3,8337 3,03693 -9,31918 13,1500963 5,344 37,2556 0,793 -0,14008 -9,12822 11,83339

63,6 5,344 40,325 0,793 -0,11504 -9,60402 -11,4407963,6 7,4213 -2,7374 -1,4136 0,03797 -8,90994 -7,07156

64 7,4213 -0,6912 -1,4136 0,05466 -8,34452 -6,3858364 0,0329 -0,3335 1,4926 0,84478 -0,09154 -0,02705

64,4 0,0329 1,7128 1,4926 0,86146 -0,68859 -0,3029264,4 5,4762 -39,5672 -0,6254 2,10293 -9,44873 -10,77514

65 5,4762 -36,4978 -0,6254 2,12796 -9,07349 12,0443665 5,8048 -53,5836 -3,7711 -2,83384 -9,30997 13,34505

67,52 6,0615 -44,9465 -1,5619 -1,42161 -3,78106 137,3431967,52 4,4242 -44,9558 -0,9026 -1,13699 -5,57653 138,463270,64 5,034 -33,9526 0,1716 -0,2513 -3,88754 261,1430770,64 4,0928 -33,8332 0,7389 0,05499 -5,02179 261,7879873,76 5,6134 -22,7396 0,5216 0,09636 -5,25005 348,9797473,76 5,136 -22,569 0,8429 0,26768 -5,80654 349,3059576,88 6,39 -11,4395 0,3083 0,0931 -6,15442 401,4816276,88 6,1951 -11,2523 0,5406 0,20803 -6,3756 401,61449

80 6,6715 -0,1108 -0,0938 -0,03761 -6,5211 419,0074980 6,6795 0,0794 0,1148 0,06051 -6,51067 419,00196

83,12 6,2366 11,2204 -0,523 -0,18735 -6,38505 401,6843383,12 6,4441 11,4066 -0,294 -0,07535 -6,14716 401,5427486,24 5,2077 22,5346 -0,84 -0,25754 -5,80538 349,4595486,24 5,6869 22,7031 -0,5267 -0,09308 -5,24549 349,1321189,36 4,1509 33,7945 -0,7642 -0,06519 -4,98967 262,0683289,36 5,075 33,9107 -0,21 0,23031 -3,87602 261,4352892,48 4,4209 44,9143 0,849 1,11304 -5,47623 138,9170792,48 6,0152 44,9061 1,4975 1,40545 -3,7398 137,82693

95 5,8516 53,6081 3,7999 2,98365 -9,15259 13,79474

Esf. Dead



95 5,5615 37,0713 0,8252 -0,46018 -8,93672 12,4405195,6 5,5615 40,1407 0,8252 -0,43515 -9,43183 -10,7230895,6 7,3064 -2,4751 -1,3386 -0,17047 -8,72848 -6,82202

96 7,3064 -0,4288 -1,3386 -0,15378 -8,19306 -6,2412496 0,0353 -0,323 1,4894 0,85477 -0,08833 -0,0274

96,4 0,0353 1,7232 1,4894 0,87146 -0,68407 -0,3074396,4 5,1439 -39,6751 -0,5075 1,94176 -9,24671 -11,10765

97 5,1439 -36,6058 -0,5075 1,96679 -8,94219 11,7766297 5,654 -53,7488 -3,6249 -3,12775 -8,94222 13,07023

99,52 6,0559 -45,0992 -1,3522 -1,65499 -3,72151 137,3652599,52 4,5431 -45,1052 -0,6827 -1,35877 -5,34765 138,39839

102,64 5,4704 -34,1021 0,3807 -0,48477 -3,9782 261,32147102,64 4,6962 -33,9883 0,9376 -0,19526 -4,88863 261,84992105,76 6,54 -22,8989 0,6963 -0,18409 -5,34935 349,30506105,76 6,2114 -22,7435 1,0116 -0,04022 -5,70369 349,52731108,88 7,7697 -11,622 0,459 -0,25095 -6,23306 402,04596108,88 7,7012 -11,4596 0,6875 -0,17644 -6,27905 402,09037

112 8,4592 -0,3295 0,0254 -0,47769 -6,56416 419,94921112 8,5593 -0,1736 0,2203 -0,44317 -6,42024 419,8788

115,12 8,3128 10,9543 -0,4908 -0,79425 -6,35423 403,2316115,12 8,5341 11,0983 -0,3107 -0,78773 -6,08073 403,07912118,24 7,2124 22,2164 -1,0448 -1,17104 -5,59584 352,03091118,24 7,526 22,3413 -0,866 -1,18659 -5,22864 351,81668121,36 5,1897 33,4382 -1,5394 -1,54807 -4,31349 266,43149121,36 5,5703 33,5279 -1,3234 -1,57558 -3,88214 266,17332124,48 2,7308 44,5827 -1,2955 -1,49528 -3,21657 146,3008124,48 3,2287 44,6073 -1,4029 -1,77201 -2,93343 145,96611

127 0,6349 53,4617 -0,0738 -0,86298 -3,05746 24,20693127 0,8058 48,8193 -2,1609 -2,50104 -2,9478 23,97635

127,49 0,8058 51,3259 -2,1609 -2,4806 -1,88894 -0,55923127,49 0,043 -2,5679 -2,0954 -1,66494 -1,29479 -0,67299

128 0,043 0,041 -2,0954 -1,64366 -0,22611 -0,02862

Esf. Dead



0 -0,014 -0,050 -1,974 -1,541 0,150 0,0130,51 -0,014 0,517 -1,974 -1,562 1,157 -0,1070,51 2,430 -13,299 -2,346 -2,252 1,706 2,065

1 2,430 -12,753 -2,346 -2,272 2,856 8,4481 3,796 -17,772 -0,144 -0,767 2,933 7,856

3,619 4,689 -14,794 -1,327 -1,585 3,019 49,8883,619 7,011 -14,727 -1,303 -1,368 3,134 48,2706,728 8,152 -11,109 -1,266 -1,411 4,094 87,6436,728 10,132 -10,973 -1,491 -1,400 4,312 86,2629,837 11,149 -7,313 -0,843 -1,062 5,421 113,9809,837 12,452 -7,143 -1,030 -1,061 5,605 113,072

12,946 13,015 -3,461 -0,329 -0,706 6,244 129,16412,946 13,621 -3,271 -0,516 -0,726 6,382 128,74216,055 13,686 0,422 0,164 -0,404 6,558 133,12816,055 13,618 0,626 -0,036 -0,454 6,616 133,17619,164 13,250 4,323 0,597 -0,182 6,394 125,74419,164 12,555 4,537 0,364 -0,274 6,315 126,22922,273 11,937 8,228 0,891 -0,095 5,801 106,82022,273 10,717 8,439 0,576 -0,258 5,467 107,67325,382 10,313 12,103 0,822 -0,285 4,939 76,02225,382 8,790 12,277 0,317 -0,563 4,114 77,08828,491 9,675 15,859 -0,443 -1,254 4,726 32,72328,491 8,396 15,909 -0,697 -1,299 3,393 33,623

31 11,220 18,635 -2,219 -2,368 4,245 -11,70431 10,562 2,029 0,048 0,715 3,468 -13,513

31,6 10,562 2,696 0,048 0,690 3,439 -14,93131,6 12,593 -4,728 1,170 -0,468 2,020 -13,317

32 12,593 -4,283 1,170 -0,485 1,552 -11,51532 -0,184 -0,371 -1,497 -0,804 0,315 0,148

32,4 -0,184 0,074 -1,497 -0,821 0,913 0,20832,4 11,512 -1,430 -0,489 -3,310 3,542 -10,414

33 11,512 -0,762 -0,489 -3,335 3,835 -9,75633 12,218 -18,028 2,089 1,727 4,612 -8,036

35,52 9,612 -15,384 0,750 0,931 3,534 35,91835,52 10,877 -15,350 0,508 0,931 4,902 35,02938,64 9,915 -11,763 -0,234 0,271 4,108 78,00938,64 11,358 -11,592 -0,740 -0,004 5,025 77,00041,76 11,607 -7,916 -0,494 -0,033 5,458 107,25941,76 12,738 -7,695 -0,808 -0,209 5,885 106,46944,88 13,180 -3,985 -0,284 -0,048 6,332 124,38044,88 13,790 -3,748 -0,518 -0,173 6,490 123,954

48 13,984 -0,027 0,096 0,052 6,673 129,70748 13,993 0,215 -0,118 -0,060 6,655 129,701

51,12 13,824 3,937 0,491 0,160 6,519 123,34251,12 13,236 4,178 0,253 0,027 6,319 123,75254,24 12,844 7,891 0,759 0,170 5,936 105,20054,24 11,754 8,119 0,432 -0,025 5,444 105,96257,36 11,624 11,800 0,634 -0,095 5,125 74,97857,36 10,264 11,983 0,096 -0,407 4,093 75,93060,48 11,494 15,580 -0,753 -1,164 5,141 32,06260,48 10,369 15,630 -1,056 -1,241 3,595 32,854

63 13,362 18,365 -2,550 -2,285 5,162 -12,09263 12,807 1,799 -0,089 0,912 4,225 -14,122

63,6 12,807 2,466 -0,089 0,887 4,279 -15,401

ESFORCOS - TABULEIRO

Esf. Tabuleiro



63,6 14,501 -3,792 1,278 -0,125 2,765 -14,31764 14,501 -3,347 1,278 -0,141 2,254 -12,88964 -0,184 -0,346 -1,437 -0,786 0,314 0,149

64,4 -0,184 0,099 -1,437 -0,802 0,889 0,19964,4 13,050 -1,586 -0,077 -2,834 4,182 -12,616

65 13,050 -0,918 -0,077 -2,859 4,229 -11,86465 13,664 -18,120 2,478 2,024 5,139 -9,901

67,52 10,770 -15,461 1,037 1,135 3,579 34,46467,52 11,897 -15,422 0,744 1,093 5,124 33,67270,64 10,645 -11,832 -0,073 0,375 4,074 77,07570,64 11,983 -11,657 -0,606 0,078 5,121 76,13773,76 12,046 -7,979 -0,396 0,022 5,422 106,72873,76 13,107 -7,757 -0,723 -0,165 5,937 105,98776,88 13,423 -4,046 -0,215 -0,016 6,299 124,17976,88 13,981 -3,809 -0,454 -0,146 6,524 123,789

80 14,073 -0,088 0,154 0,076 6,640 129,80380 14,035 0,153 -0,060 -0,036 6,683 129,829

83,12 13,770 3,874 0,552 0,187 6,480 123,73483,12 13,132 4,112 0,317 0,059 6,345 124,17986,24 12,624 7,823 0,838 0,214 5,882 105,91686,24 11,470 8,048 0,521 0,030 5,472 106,72289,36 11,173 11,726 0,756 -0,014 5,031 76,08189,36 9,719 11,903 0,241 -0,303 4,117 77,09992,48 10,685 15,497 -0,537 -1,007 4,932 33,66992,48 9,433 15,541 -0,797 -1,047 3,547 34,549

95 12,141 18,264 -2,201 -2,012 4,707 -9,96095 11,494 1,610 0,285 1,394 3,893 -11,759

95,6 11,494 2,277 0,285 1,369 3,722 -12,92595,6 12,751 -2,762 1,586 0,391 2,295 -12,277

96 12,751 -2,317 1,586 0,374 1,661 -11,26196 -0,188 -0,325 -1,541 -0,895 0,318 0,154

96,4 -0,188 0,120 -1,541 -0,911 0,934 0,19696,4 10,970 -1,843 -0,208 -2,635 3,499 -11,882

97 10,970 -1,175 -0,208 -2,660 3,624 -10,97797 11,683 -18,394 2,198 2,076 4,392 -9,240

99,52 8,940 -15,725 0,726 1,149 3,402 35,69799,52 10,209 -15,687 0,473 1,135 4,767 34,805

102,64 9,244 -12,099 -0,263 0,476 4,084 78,837102,64 10,723 -11,932 -0,765 0,211 4,964 77,802105,76 10,999 -8,259 -0,510 0,195 5,438 109,108105,76 12,165 -8,050 -0,824 0,036 5,830 108,293108,88 12,641 -4,347 -0,293 0,218 6,293 127,298108,88 13,277 -4,131 -0,525 0,124 6,427 126,854

112 13,493 -0,421 0,112 0,391 6,599 133,802112 13,499 -0,212 -0,088 0,333 6,591 133,798

115,12 13,274 3,493 0,594 0,644 6,365 128,834115,12 12,603 3,690 0,405 0,609 6,273 129,302118,24 11,890 7,381 1,100 0,941 5,588 112,527118,24 10,527 7,556 0,903 0,920 5,435 113,478121,36 9,423 11,218 1,512 1,210 4,305 84,958121,36 7,408 11,348 1,254 1,187 4,082 86,364124,48 6,388 14,950 1,117 1,008 3,274 46,043124,48 4,150 14,991 1,172 1,244 3,111 47,603

127 3,697 17,790 -0,122 0,371 2,915 6,602127 2,341 9,121 2,012 2,187 2,947 6,995

127,49 2,341 9,666 2,012 2,166 1,961 2,392127,49 -0,053 -0,470 2,009 1,534 1,273 -0,040

Esf. Tabuleiro



128 -0,053 0,097 2,009 1,513 0,249 0,0550 0,153 -0,048 2,037 1,591 -0,315 -0,123

0,51 0,153 0,519 2,037 1,612 -1,354 -0,2430,51 2,411 -12,774 2,299 2,594 -1,679 1,810

1 2,411 -12,229 2,299 2,614 -2,806 7,9361 2,203 -17,526 0,102 0,791 -3,025 8,395

3,619 4,725 -14,575 1,360 1,660 -2,845 48,6763,619 4,201 -14,549 1,331 1,441 -3,203 49,0296,728 6,978 -10,956 1,278 1,474 -3,936 86,7416,728 6,580 -10,865 1,497 1,460 -4,380 87,0119,837 8,841 -7,229 0,828 1,109 -5,267 113,5599,837 8,522 -7,103 1,010 1,104 -5,636 113,777

12,946 9,792 -3,445 0,286 0,734 -6,097 129,28712,946 9,570 -3,300 0,469 0,750 -6,370 129,44016,055 9,786 0,368 -0,235 0,410 -6,419 133,84916,055 9,686 0,524 -0,039 0,451 -6,563 133,91919,164 8,915 4,195 -0,696 0,159 -6,264 127,12519,164 8,982 4,356 -0,467 0,238 -6,222 127,08222,273 7,421 8,018 -1,017 0,034 -5,675 108,93822,273 7,747 8,172 -0,703 0,180 -5,330 108,71825,382 5,904 11,801 -0,943 0,195 -4,845 78,95825,382 6,669 11,913 -0,391 0,483 -3,954 78,43628,491 5,739 15,458 0,670 1,366 -5,270 36,53028,491 7,219 15,455 1,317 1,666 -3,699 35,521

31 6,910 18,145 3,611 3,259 -8,750 -6,43031 6,438 1,689 0,624 -0,023 -8,770 -7,917

31,6 6,438 2,356 0,624 0,002 -9,145 -9,13131,6 7,026 -1,353 -1,546 0,196 -8,562 -6,555

32 7,026 -0,908 -1,546 0,213 -7,943 -6,10332 0,022 -0,360 1,541 0,852 -0,103 -0,019

32,4 0,022 0,085 1,541 0,869 -0,719 0,03632,4 7,152 -1,209 -0,592 2,434 -9,054 -7,345

33 7,152 -0,541 -0,592 2,459 -8,699 -6,82133 7,439 -17,728 -3,653 -2,714 -8,960 -5,306

35,52 7,686 -15,116 -1,443 -1,321 -3,722 35,93535,52 6,087 -15,127 -0,809 -1,059 -5,466 37,02938,64 6,775 -11,570 0,218 -0,209 -3,894 78,20538,64 5,851 -11,451 0,767 0,084 -5,006 78,83841,76 7,392 -7,803 0,521 0,105 -5,253 107,79841,76 6,907 -7,632 0,833 0,269 -5,819 108,13044,88 8,133 -3,947 0,283 0,084 -6,146 125,33544,88 7,916 -3,760 0,511 0,196 -6,394 125,483

48 8,341 -0,063 -0,128 -0,053 -6,503 131,15048 8,322 0,127 0,080 0,044 -6,526 131,163

51,12 7,826 3,823 -0,555 -0,201 -6,363 125,34951,12 8,010 4,009 -0,322 -0,087 -6,154 125,22454,24 6,737 7,692 -0,857 -0,261 -5,787 107,86154,24 7,203 7,860 -0,536 -0,091 -5,242 107,54357,36 5,667 11,506 -0,752 -0,047 -4,992 78,40357,36 6,598 11,623 -0,185 0,258 -3,869 77,76660,48 5,985 15,182 0,901 1,161 -5,538 36,37160,48 7,598 15,175 1,558 1,463 -3,776 35,268

63 7,420 17,872 3,834 3,037 -9,319 -6,26463 7,100 1,462 0,793 -0,140 -9,128 -7,783

63,6 7,100 2,129 0,793 -0,115 -9,604 -8,86163,6 7,421 -1,136 -1,414 0,038 -8,910 -6,751

64 7,421 -0,691 -1,414 0,055 -8,345 -6,386

Esf. Tabuleiro



64 0,033 -0,334 1,493 0,845 -0,092 -0,02764,4 0,033 0,112 1,493 0,861 -0,689 0,01764,4 7,238 -1,372 -0,625 2,103 -9,449 -8,188

65 7,238 -0,704 -0,625 2,128 -9,073 -7,56565 7,566 -17,790 -3,771 -2,834 -9,310 -6,061

67,52 7,823 -15,166 -1,562 -1,422 -3,781 35,31467,52 6,186 -15,175 -0,903 -1,137 -5,577 36,43470,64 6,795 -11,617 0,172 -0,251 -3,888 77,81370,64 5,854 -11,498 0,739 0,055 -5,022 78,45873,76 7,375 -7,849 0,522 0,096 -5,250 107,57873,76 6,897 -7,679 0,843 0,268 -5,807 107,90476,88 8,151 -3,994 0,308 0,093 -6,154 125,23776,88 7,956 -3,807 0,541 0,208 -6,376 125,369

80 8,433 -0,111 -0,094 -0,038 -6,521 131,14880 8,441 0,079 0,115 0,061 -6,511 131,143

83,12 7,998 3,775 -0,523 -0,187 -6,385 125,43983,12 8,205 3,962 -0,294 -0,075 -6,147 125,29886,24 6,969 7,644 -0,840 -0,258 -5,805 108,05886,24 7,448 7,813 -0,527 -0,093 -5,245 107,73089,36 5,912 11,459 -0,764 -0,065 -4,990 78,73889,36 6,836 11,575 -0,210 0,230 -3,876 78,10592,48 6,182 15,134 0,849 1,113 -5,476 36,88792,48 7,777 15,126 1,498 1,405 -3,740 35,797

95 7,613 17,814 3,800 2,984 -9,153 -5,61295 7,323 1,278 0,825 -0,460 -8,937 -7,169

95,6 7,323 1,945 0,825 -0,435 -9,432 -8,13695,6 7,306 -0,874 -1,339 -0,170 -8,728 -6,502

96 7,306 -0,429 -1,339 -0,154 -8,193 -6,24196 0,035 -0,323 1,489 0,855 -0,088 -0,027

96,4 0,035 0,122 1,489 0,871 -0,684 0,01396,4 6,861 -1,620 -0,507 1,942 -9,247 -8,577

97 6,861 -0,953 -0,507 1,967 -8,942 -7,80597 7,372 -18,096 -3,625 -3,128 -8,942 -6,313

99,52 7,773 -15,460 -1,352 -1,655 -3,722 35,71499,52 6,261 -15,466 -0,683 -1,359 -5,348 36,747

102,64 7,188 -11,908 0,381 -0,485 -3,978 78,809102,64 6,414 -11,794 0,938 -0,195 -4,889 79,337105,76 8,258 -8,150 0,696 -0,184 -5,349 109,160105,76 7,929 -7,994 1,012 -0,040 -5,704 109,382108,88 9,487 -4,318 0,459 -0,251 -6,233 127,497108,88 9,419 -4,155 0,687 -0,176 -6,279 127,541

112 10,177 -0,470 0,025 -0,478 -6,564 134,225112 10,277 -0,314 0,220 -0,443 -6,420 134,155

115,12 10,030 3,368 -0,491 -0,794 -6,354 129,561115,12 10,252 3,512 -0,311 -0,788 -6,081 129,409118,24 8,930 7,185 -1,045 -1,171 -5,596 113,643118,24 9,244 7,310 -0,866 -1,187 -5,229 113,429121,36 6,907 10,962 -1,539 -1,548 -4,313 86,554121,36 7,288 11,052 -1,323 -1,576 -3,882 86,296124,48 4,448 14,662 -1,296 -1,495 -3,217 48,164124,48 4,946 14,686 -1,403 -1,772 -2,933 47,829

127 2,352 17,527 -0,074 -0,863 -3,057 9,048127 2,523 12,885 -2,161 -2,501 -2,948 8,619

127,49 2,523 13,430 -2,161 -2,481 -1,889 2,172127,49 0,043 -0,526 -2,095 -1,665 -1,295 -0,152

128 0,043 0,041 -2,095 -1,644 -0,226 -0,029

Esf. Tabuleiro



0 0,1582 0,2148 -0,9668 -1,02582 -0,12792 -0,128610,51 0,1582 0,5779 -0,9668 -1,03944 0,36514 -0,330740,51 0,3093 -19,7943 -1,3286 -1,45944 0,44064 -0,88869

1 0,3093 -19,4455 -1,3286 -1,47252 1,09166 8,725071 0,2086 -19,0103 -1,1994 -4,38964 1,87157 7,36734

3,619 4,4156 -15,9094 -2,1861 -4,95749 0,97911 50,132623,619 6,2686 -15,3288 -2,3431 -4,69866 -0,26064 48,852126,728 10,989 -11,8057 -2,3406 -4,45393 0,81802 87,719376,728 12,6577 -11,253 -2,2885 -3,95009 -0,28884 86,554799,837 16,3525 -7,8008 -1,703 -3,28339 1,01235 113,58329,837 17,4834 -7,3059 -1,5522 -2,67112 0,26215 112,7939

12,946 19,7069 -3,8997 -0,8709 -1,92581 1,05735 128,654612,946 20,2468 -3,4391 -0,7123 -1,28453 0,71155 128,277916,055 20,9365 -0,0558 -0,0379 -0,54097 0,93778 133,227616,055 20,8868 0,3949 0,114 0,10015 0,99268 133,262519,164 20,0684 3,778 0,7751 0,8297 0,6737 127,3519,164 19,4429 4,2434 0,9206 1,45124 1,11265 127,786822,273 17,1649 7,6477 1,5514 2,14762 0,27042 110,899922,273 15,9988 8,1493 1,6641 2,7143 1,05325 111,714525,382 12,452 11,594 2,1249 3,27334 -0,15899 83,5113925,382 10,8594 12,1485 2,0862 3,6929 0,84763 84,624228,491 6,7252 15,6485 1,8047 3,72041 0,22921 44,316428,491 5,1609 16,1982 1,5298 3,88191 1,14013 45,39615

31 2,1526 19,1253 0,3915 3,20055 2,53439 3,2023531 2,1846 14,965 0,6181 1,23968 1,86697 3,94635

31,6 2,1846 15,3922 0,6181 1,22366 1,49613 -5,1608231,6 3,1641 -2,1229 0,6116 0,25204 1,07344 -3,78126

32 3,1641 -1,8381 0,6116 0,24136 0,82879 -2,9890532 0,0549 0,1037 -0,7978 -0,76924 -0,02261 -0,04574

32,4 0,0549 0,3885 -0,7978 -0,77992 0,29649 -0,1441932,4 2,5828 -15,0469 -0,6164 -1,96988 1,34177 -3,77149

33 2,5828 -14,6197 -0,6164 -1,9859 1,71159 5,1284933 2,4186 -18,9547 -0,3971 -3,45975 2,59363 4,38462

35,52 5,4934 -16,0471 -1,5131 -4,0788 1,11235 46,3254535,52 7,0201 -15,4969 -1,7859 -3,907 0,25598 45,2723438,64 11,1212 -11,9892 -2,0489 -3,86333 0,82972 85,271838,64 12,665 -11,432 -2,0835 -3,44247 -0,1181 84,1931841,76 16,148 -7,9786 -1,6171 -2,88215 1,03838 112,030941,76 17,2592 -7,4725 -1,5028 -2,32008 0,31866 111,254744,88 19,4597 -4,0594 -0,8723 -1,63012 1,1028 127,701444,88 20,0294 -3,5869 -0,7272 -1,01943 0,72564 127,3037

48 20,7685 -0,1948 -0,0731 -0,30533 0,99207 132,68548 20,769 0,2659 0,0744 0,31648 0,9888 132,6846

51,12 20,023 3,6582 0,7264 1,02894 0,73042 127,086251,12 19,4566 4,1311 0,8694 1,63768 1,09831 127,481754,24 17,2607 7,5448 1,4919 2,32151 0,32999 110,807254,24 16,1611 8,0512 1,5999 2,87882 1,0306 111,575457,36 12,7115 11,5053 2,0455 3,42395 -0,08236 83,4867257,36 11,1939 12,062 1,996 3,83495 0,82861 84,5471160,48 7,17 15,5716 1,6892 3,84454 0,38808 44,2641360,48 5,663 16,1214 1,4034 4,002 1,2211 45,30361

63 2,6816 19,0586 0,2902 3,34032 2,87807 3,0776863 2,7887 14,9565 0,5763 1,30671 2,11113 3,78225

63,6 2,7887 15,3837 0,5763 1,29069 1,76536 -5,3197863,6 3,7206 -1,8618 0,6378 0,35687 1,28323 -4,07908

64 3,7206 -1,577 0,6378 0,34619 1,02813 -3,3913164 0,055 0,111 -0,7792 -0,76283 -0,02284 -0,04545

64,4 0,055 0,3958 -0,7792 -0,77351 0,28885 -0,1468264,4 3,0244 -15,0905 -0,5025 -1,82831 1,52628 -4,41843

65 3,0244 -14,6633 -0,5025 -1,84433 1,8278 4,5077465 2,835 -18,9819 -0,2866 -3,3738 2,74623 3,83372

67,52 5,827 -16,0699 -1,4296 -4,01794 1,12682 45,8948667,52 7,3135 -15,5185 -1,7165 -3,85814 0,32172 44,86975

ESFOROS - ACABAMENTOS

Esf. Acabamentos


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m70,64 11,33 -12,0098 -2,002 -3,83157 0,82007 84,9938170,64 12,8441 -11,4516 -2,0445 -3,41745 -0,09049 83,9359173,76 16,274 -7,9977 -1,5896 -2,86574 1,02811 111,871173,76 17,3661 -7,4911 -1,4792 -2,307 0,33263 111,108276,88 19,5323 -4,0779 -0,8541 -1,62109 1,09367 127,636776,88 20,0884 -3,6053 -0,7106 -1,01168 0,7342 127,2484

80 20,8016 -0,2133 -0,0584 -0,29885 0,98335 132,705180 20,7905 0,2472 0,0889 0,32306 0,99543 132,7129

83,12 20,0201 3,6392 0,7416 1,03629 0,72058 127,190483,12 19,4415 4,1114 0,8856 1,64641 1,10463 127,594586,24 17,2162 7,5246 1,5119 2,33346 0,31609 111,002686,24 16,1006 8,03 1,6228 2,89395 1,03735 111,78289,36 12,6074 11,4832 2,0774 3,44629 -0,10718 83,7912389,36 11,0657 12,0385 2,0344 3,86343 0,83453 84,8685492,48 6,9719 15,5469 1,7464 3,88748 0,33241 44,7092892,48 5,4317 16,0953 1,4718 4,05485 1,20779 45,77183

95 2,3746 19,0292 0,3811 3,41362 2,75963 3,6683295 2,4576 14,902 0,673 1,44642 2,02422 4,43261

95,6 2,4576 15,3292 0,673 1,4304 1,62043 -4,6367295,6 3,2635 -1,5566 0,7182 0,50255 1,16106 -3,52428

96 3,2635 -1,2718 0,7182 0,49187 0,87377 -2,958696 0,0536 0,1102 -0,803 -0,78141 -0,02187 -0,04382

96,4 0,0536 0,395 -0,803 -0,79209 0,29934 -0,1448596,4 2,5041 -15,1127 -0,5413 -1,75762 1,32722 -4,23452

97 2,5041 -14,6855 -0,5413 -1,77364 1,652 4,7049497 2,3968 -19,056 -0,3687 -3,23627 2,46479 3,99196

99,52 5,4234 -16,1405 -1,5395 -3,90369 1,05642 46,2107899,52 6,9691 -15,5874 -1,8187 -3,74 0,17769 45,14433

102,64 11,0877 -12,0773 -2,08 -3,69486 0,83638 85,40986102,64 12,6731 -11,5199 -2,1119 -3,26988 -0,16072 84,30219105,76 16,1857 -8,0645 -1,6403 -2,7019 1,04795 112,39105,76 17,3379 -7,5614 -1,5249 -2,13132 0,27952 111,5852108,88 19,5643 -4,1465 -0,8896 -1,43055 1,1041 128,288108,88 20,1702 -3,6799 -0,7431 -0,80597 0,6837 127,8649

112 20,9247 -0,2861 -0,0795 -0,07368 0,98065 133,5224112 20,951 0,166 0,073 0,5699 0,94622 133,504

115,12 20,1887 3,5602 0,7489 1,3153 0,69497 128,2251115,12 19,6228 4,0222 0,9073 1,95857 1,0615 128,62118,24 17,3238 7,4389 1,5866 2,70361 0,24039 112,3521118,24 16,1676 7,9338 1,7333 3,31668 1,00789 113,1593121,36 12,4103 11,3951 2,2999 3,97258 -0,29782 85,64042121,36 10,719 11,9444 2,3362 4,47309 0,82338 86,82099124,48 5,9821 15,4737 2,265 4,67254 -0,13036 47,3735124,48 4,1388 16,034 2,121 4,94399 1,12185 48,64499

127 0,093 19,0155 1,1692 4,39633 2,07013 7,33069127 0,0869 18,8384 1,3975 1,59784 1,50008 8,70741

127,49 0,0869 19,1873 1,3975 1,58475 0,81528 -0,60887127,49 0,0145 -0,7528 0,903 0,95603 0,51494 -0,29484

128 0,0145 -0,3897 0,903 0,94241 0,05438 -0,00350 0,2641 0,4642 1,2968 1,2523 0,09892 -0,20143

0,51 0,2641 0,8274 1,2968 1,26592 -0,56245 -0,530780,51 0,423 -20,5926 1,5195 1,51702 -0,59245 -0,96771

1 0,423 -20,2437 1,5195 1,5301 -1,33701 9,037181 -0,5213 -19,3307 1,5479 7,04321 -2,51234 7,86685

3,619 5,3736 -16,1092 2,3738 7,06891 -0,90918 50,128373,619 6,2456 -15,574 2,5946 6,61044 0,49847 49,519476,728 12,5104 -11,9307 2,6342 6,02109 -0,39755 87,878026,728 13,3075 -11,4149 2,5857 5,3191 0,77242 87,319549,837 18,1015 -7,8647 1,9241 4,30331 -0,62013 113,92779,837 18,6443 -7,4083 1,748 3,50589 0,15528 113,5473

12,946 21,4957 -3,9212 0,9742 2,44712 -0,7039 129,159412,946 21,7414 -3,5033 0,7889 1,63522 -0,3573 128,987416,055 22,6057 -0,0489 0,0278 0,60275 -0,58628 133,903416,055 22,5524 0,3562 -0,1497 -0,2049 -0,66215 133,940819,164 21,4674 3,8095 -0,8976 -1,2251 -0,28667 128,226319,164 21,1285 4,2293 -1,0695 -2,02083 -0,76824 128,464

Esf. Acabamentos


Distance P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m22,273 18,1365 7,7118 -1,7921 -3,03592 0,19281 111,999922,273 17,548 8,1688 -1,9282 -3,79472 -0,6572 112,413225,382 12,8284 11,7062 -2,454 -4,70561 0,68432 84,8273325,382 12,0855 12,2139 -2,3954 -5,32553 -0,4317 85,3492728,491 6,3275 15,8268 -1,9949 -5,65835 -0,15723 45,8019828,491 5,6856 16,321 -1,5833 -5,97909 -1,27716 46,25354

31 0,6505 19,3543 -0,5286 -5,78519 -4,20313 5,0395531 1,1571 15,7111 -0,9138 -1,15433 -3,42648 5,94917

31,6 1,1571 16,1383 -0,9138 -1,13831 -2,87823 -3,6056731,6 1,9076 -1,0413 -0,8773 -0,33599 -2,44253 -2,04996

32 1,9076 -0,7565 -0,8773 -0,32531 -2,09162 -1,6904132 0,1268 0,188 1,1238 1,13708 0,08724 -0,102

32,4 0,1268 0,4728 1,1238 1,14776 -0,36229 -0,2341632,4 1,5841 -15,7442 0,6514 1,88073 -2,60021 -3,18042

33 1,5841 -15,317 0,6514 1,89675 -2,99107 6,1379133 0,8366 -19,2491 0,4591 5,96086 -4,12782 5,29633

35,52 5,8298 -16,2363 1,5564 6,13354 -1,15997 46,5022535,52 6,3926 -15,7361 1,9687 5,8097 -0,15072 46,1063538,64 12,0582 -12,111 2,3392 5,4583 -0,40362 85,5707138,64 12,7373 -11,5942 2,3899 4,84185 0,62207 85,0934341,76 17,3484 -8,0444 1,8546 3,93177 -0,63425 112,495641,76 17,8712 -7,5786 1,7158 3,1814 0,1238 112,128344,88 20,7367 -4,0852 0,9923 2,17443 -0,74134 128,314144,88 21,0102 -3,6564 0,8202 1,39092 -0,35117 128,1223

48 21,962 -0,1934 0,0786 0,38574 -0,63511 133,460248 21,9574 0,2214 -0,0948 -0,40397 -0,6411 133,4635

51,12 20,9812 3,6839 -0,8343 -1,40846 -0,33942 128,055751,12 20,7006 4,1111 -1,0042 -2,19247 -0,73879 128,252654,24 17,8233 7,6029 -1,7203 -3,19664 0,13717 111,996554,24 17,3006 8,0647 -1,8532 -3,94765 -0,62092 112,363857,36 12,7029 11,6115 -2,369 -4,84879 0,61721 84,8932357,36 12,033 12,1211 -2,3042 -5,46389 -0,39759 85,3641760,48 6,3945 15,7435 -1,8919 -5,7891 -0,27978 45,8536360,48 5,8053 16,2374 -1,4744 -6,11024 -1,32477 46,26799

63 0,7936 19,2809 -0,4336 -5,92965 -4,48721 5,0394863 1,3764 15,6891 -0,8459 -1,1951 -3,60589 5,95566

63,6 1,3764 16,1163 -0,8459 -1,17908 -3,09836 -3,5859663,6 2,0808 -0,9824 -0,836 -0,38862 -2,60536 -2,15585

64 2,0808 -0,6976 -0,836 -0,37794 -2,27095 -1,8198764 0,1311 0,196 1,1061 1,13219 0,09164 -0,10515

64,4 0,1311 0,4808 1,1061 1,14287 -0,3508 -0,240564,4 1,6671 -15,7913 0,6214 1,77403 -2,7745 -3,48371

65 1,6671 -15,3641 0,6214 1,79005 -3,14735 5,8628965 0,9345 -19,2684 0,4 5,90923 -4,27839 5,02345

67,52 5,9259 -16,2518 1,5047 6,09291 -1,18255 46,2739167,52 6,4711 -15,7509 1,929 5,77896 -0,1968 45,8902870,64 12,1014 -12,1254 2,3183 5,44154 -0,40033 85,4249970,64 12,7711 -11,6084 2,3757 4,83017 0,61324 84,954373,76 17,3676 -8,0586 1,8503 3,92721 -0,63178 112,41173,76 17,8897 -7,5928 1,715 3,17938 0,12524 112,044176,88 20,7574 -4,0994 0,9964 2,1759 -0,74223 128,272676,88 21,0349 -3,6706 0,8257 1,39344 -0,34713 128,0779

80 21,9969 -0,2076 0,0859 0,38942 -0,63872 133,453180 21,9979 0,2072 -0,0873 -0,40015 -0,63769 133,4524

83,12 21,0331 3,6697 -0,8275 -1,40519 -0,34433 128,081183,12 20,7575 4,0969 -0,9984 -2,18986 -0,73757 128,274586,24 17,8868 7,5887 -1,7177 -3,19643 0,13348 112,058186,24 17,366 8,0505 -1,8529 -3,94914 -0,62247 112,424289,36 12,7642 11,5972 -2,3752 -4,85503 0,61997 85,0009989,36 12,0903 12,1067 -2,3143 -5,47315 -0,39996 85,4746592,48 6,4351 15,7289 -1,9115 -5,80554 -0,25681 46,020992,48 5,8379 16,2224 -1,4983 -6,13074 -1,31259 46,44071

95 0,8276 19,2634 -0,4535 -5,95164 -4,4209 5,251795 1,4195 15,6359 -0,8463 -1,29275 -3,53343 6,15903

95,6 1,4195 16,0631 -0,8463 -1,27673 -3,02567 -3,3506595,6 2,025 -0,9026 -0,8182 -0,45608 -2,53001 -2,06287

Esf. Acabamentos



96 2,025 -0,6178 -0,8182 -0,4454 -2,20275 -1,7587796 0,1311 0,1933 1,1037 1,12734 0,09204 -0,10461

96,4 0,1311 0,4781 1,1037 1,13802 -0,34945 -0,2389196,4 1,5588 -15,8175 0,666 1,71401 -2,67619 -3,56766

97 1,5588 -15,3903 0,666 1,73003 -3,07579 5,7946997 0,9215 -19,3489 0,4575 5,72876 -4,08345 4,96812

99,52 5,952 -16,3283 1,593 5,93798 -1,14271 46,3885299,52 6,5494 -15,8247 2,0202 5,62828 -0,08549 45,96837

102,64 12,2956 -12,1972 2,4012 5,28329 -0,43598 85,64893102,64 13,0384 -11,6804 2,4529 4,6647 0,67578 85,12714105,76 17,7491 -8,1286 1,9155 3,74792 -0,67117 112,7251105,76 18,3371 -7,6661 1,7765 2,98878 0,17514 112,3122108,88 21,3026 -4,1707 1,0489 1,9697 -0,7726 128,6975108,88 21,6369 -3,7478 0,8755 1,17137 -0,29949 128,4632

112 22,6787 -0,2822 0,124 0,14565 -0,65624 134,019112 22,7242 0,1245 -0,0546 -0,66688 -0,5922 133,9871

115,12 21,8026 3,5909 -0,8192 -1,7074 -0,33944 128,837115,12 21,5472 4,0091 -1,0052 -2,52668 -0,70007 129,0159118,24 18,6274 7,508 -1,7802 -3,59561 0,18692 113,0964118,24 18,0749 7,9623 -1,9536 -4,40245 -0,60259 113,4838121,36 13,2095 11,5236 -2,5978 -5,42064 0,79123 86,49744121,36 12,3954 12,0334 -2,6302 -6,12959 -0,40333 87,06763124,48 6,0641 15,6873 -2,516 -6,68802 0,30933 48,26751124,48 5,1557 16,2018 -2,3205 -7,17421 -1,15828 48,90149

127 -0,6507 19,3052 -1,592 -7,21024 -2,85306 8,24698127 0,1065 20,4102 -1,8203 -1,7703 -1,99086 9,51011

127,49 0,1065 20,7591 -1,8203 -1,75722 -1,09892 -0,57635127,49 0,0484 -0,7846 -1,1322 -1,08519 -0,62827 -0,34537

128 0,0484 -0,4215 -1,1322 -1,07157 -0,05085 -0,03784

Esf. Acabamentos


Distance ItemType P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m

0 Max 0,2152 7,7694 0,2028 0,93748 -0,21844 0,136370 Min -0,1641 -0,304 -0,9803 -5,83222 0,20324 -0,17676

0,51 Max 0,2152 7,7694 0,2028 0,93748 -0,10833 0,276070,51 Min -0,1641 -0,304 -0,9803 -5,83222 0,44974 -4,082190,51 Max 0,9828 3,885 0,785 2,12049 -0,36945 0,995970,51 Min -0,8758 -35,166 -2,3026 -6,84104 0,75288 -5,3363

1 Max 0,9828 3,885 0,785 2,12049 -0,34903 16,646351 Min -0,8758 -35,166 -2,3026 -6,84104 1,55154 -5,923511 Max 2,7169 0,3095 1,485 7,6182 -2,24869 15,03541 Min -2,0697 -34,7729 -2,4726 -5,94921 3,72235 -5,3423

3,619 Max 7,7268 1,0868 2,3227 5,88306 -0,79293 94,440263,619 Min -4,5145 -31,3345 -4,3991 -7,44438 2,7372 -4,942983,619 Max 10,919 1,6831 2,6505 5,66891 -1,78094 93,724343,619 Min -6,0382 -29,3691 -4,6992 -7,05873 3,17382 -5,621666,728 Max 19,0068 3,4977 2,7536 5,29073 -1,96497 165,33186,728 Min -11,5909 -25,9381 -4,6911 -7,54983 4,5473 -6,206196,728 Max 22,2357 4,5096 2,5718 5,07352 -1,66988 164,99276,728 Min -13,1457 -24,3217 -4,4624 -7,06793 3,96963 -7,087629,837 Max 28,8124 6,4543 2,2057 4,55188 -2,27876 214,28769,837 Min -17,7993 -21,3542 -3,5957 -6,98834 5,53106 -8,856449,837 Max 31,081 7,4685 1,9332 4,36479 -1,90369 214,28739,837 Min -18,9304 -19,9624 -3,2497 -6,30682 4,59574 -9,98836

12,946 Max 35,1327 9,5487 1,6548 3,95535 -2,33873 244,472312,946 Min -21,9267 -17,327 -2,3897 -5,90484 5,88336 -11,15612,946 Max 36,2696 10,5948 1,4005 4,08719 -2,04809 244,502812,946 Min -22,5381 -16,0948 -2,166 -5,19943 5,24718 -11,703916,055 Max 37,662 12,8221 1,6584 4,11998 -2,27102 254,255216,055 Min -23,7842 -13,7073 -1,5293 -4,82773 5,7664 -12,254516,055 Max 37,6696 13,9454 1,721 4,61507 -2,17138 254,318716,055 Min -23,9734 -12,5981 -1,5797 -4,33158 5,80929 -12,236919,164 Max 36,4061 16,3524 2,3702 4,97283 -2,16124 243,995519,164 Min -23,5022 -10,3912 -1,3731 -4,28214 5,20452 -12,221319,164 Max 35,3089 17,6076 2,6439 5,688 -2,25802 244,05119,164 Min -23,2349 -9,3535 -1,6504 -4,15458 5,92691 -11,667822,273 Max 31,4969 20,2599 3,5111 6,0622 -1,97469 213,41122,273 Min -20,9939 -7,2988 -1,9652 -4,63173 4,71035 -11,083322,273 Max 29,3391 21,6788 3,858 6,75204 -2,2309 213,557322,273 Min -20,2107 -6,3014 -2,2739 -4,90358 5,57258 -9,9681325,382 Max 23,2668 24,6558 4,7494 6,81101 -1,79343 163,809225,382 Min -16,3575 -4,3818 -2,77 -5,57895 4,28991 -9,3903425,382 Max 20,3608 26,3031 5,0404 7,35586 -1,88065 164,289125,382 Min -15,1887 -3,3888 -3,0699 -5,94647 4,5118 -8,8600428,491 Max 15,1446 29,7298 5,3194 7,0572 -2,8307 92,468928,491 Min -11,3806 -1,6111 -3,3484 -6,76097 4,19622 -9,9009128,491 Max 13,5056 31,6944 5,2849 7,65333 -0,62564 93,5221328,491 Min -11,4771 -1,0927 -3,2512 -7,25555 2,7544 -9,99129

31 Max 12,2338 34,9475 4,3672 6,63307 -5,97236 17,9466231 Min -12,1275 -0,3458 -3,3641 -9,5768 7,21214 -12,306631 Max 13,189 32,2379 3,8801 7,30642 -3,47422 20,086631 Min -13,2811 -7,2546 -2,9653 -2,92362 4,52414 -14,3371

31,6 Max 13,189 32,2379 3,8801 7,30642 -5,39905 10,6772431,6 Min -13,2811 -7,2546 -2,9653 -2,92362 5,6674 -15,655331,6 Max 14,8337 1,3838 3,323 7,41253 -4,49948 11,0934631,6 Min -13,7553 -9,8968 -2,341 -2,69153 4,3393 -14,3981

32 Max 14,8337 1,3838 3,323 7,41253 -5,54572 11,1294932 Min -13,7553 -9,8968 -2,341 -2,69153 5,00614 -12,488232 Max 0,1456 4,0543 0,6898 1,28478 -0,13626 0,158732 Min -0,1897 -0,3819 -1,5459 -3,39178 0,22475 -0,12198

32,4 Max 0,1456 4,0543 0,6898 1,28478 -0,30386 0,2977232,4 Min -0,1897 -0,3819 -1,5459 -3,39178 0,68116 -1,6935632,4 Max 13,7827 7,5615 1,7027 1,70735 -6,12761 10,8460732,4 Min -13,7774 -32,2001 -2,6956 -6,72675 6,04804 -13,7108

33 Max 13,7827 7,5615 1,7027 1,70735 -5,21178 19,2564

ESFOROS - CARGA MVEL

Esf. Movel



33 Min -13,7774 -32,2001 -2,6956 -6,72675 5,86598 -10,657133 Max 12,7059 0,3833 2,7847 8,81192 -7,27725 17,7662733 Min -12,2349 -34,8107 -3,8498 -6,22238 8,31068 -9,29895

35,52 Max 15,7864 1,1289 3,0743 6,93172 -1,00461 93,8344935,52 Min -12,6486 -31,5724 -5,175 -7,58189 3,09478 -7,8287335,52 Max 16,8178 1,6497 3,1974 6,52583 -3,25296 92,6420335,52 Min -12,7367 -29,6027 -5,1754 -7,03033 4,47295 -7,5763738,64 Max 21,8755 3,44 2,9698 5,82388 -1,90101 164,352738,64 Min -16,6202 -26,1695 -4,8369 -7,36507 4,44578 -6,9649538,64 Max 23,8993 4,4414 2,7021 5,51311 -1,64937 163,928538,64 Min -17,5789 -24,5238 -4,5431 -6,89254 4,20705 -7,4822541,76 Max 28,9323 6,3774 2,2484 4,89011 -2,23308 213,648441,76 Min -21,4895 -21,5393 -3,6521 -6,87467 5,46444 -8,6715541,76 Max 30,6132 7,3933 1,952 4,64358 -1,80754 213,594441,76 Min -22,342 -20,1192 -3,3055 -6,21029 4,6143 -9,7237744,88 Max 34,5371 9,4702 1,64 4,18594 -2,28295 244,138444,88 Min -25,092 -17,4666 -2,4476 -5,84623 5,83176 -10,662644,88 Max 35,6556 10,5211 1,3751 4,31628 -1,99818 244,172444,88 Min -25,6002 -16,2136 -2,1966 -5,15316 5,11815 -11,2119

48 Max 37,0302 12,7495 1,6011 4,35192 -2,20938 254,209948 Min -26,6176 -13,8108 -1,5632 -4,80886 5,7232 -11,548648 Max 37,0693 13,8801 1,6152 4,8432 -2,14928 254,242348 Min -26,7051 -12,6837 -1,5863 -4,34616 5,68584 -11,5654


63 Max 16,9394 34,9487 4,9147 6,74235 -8,74695 18,9363363 Min -17,0084 -0,3945 -3,8419 -9,51312 9,79389 -13,296863 Max 17,8103 32,3361 3,7824 7,0603 -6,57496 20,7496463 Min -17,9425 -7,3666 -2,8658 -2,60599 7,33862 -15,0662

63,6 Max 17,8103 32,3361 3,7824 7,0603 -8,38398 14,2930463,6 Min -17,9425 -7,3666 -2,8658 -2,60599 8,41526 -18,621763,6 Max 19,1198 1,4917 2,7405 7,13052 -7,40414 14,80763,6 Min -18,1067 -9,6992 -1,9899 -2,46416 7,12446 -17,3862

64 Max 19,1198 1,4917 2,7405 7,13052 -7,73904 14,701364 Min -18,1067 -9,6992 -1,9899 -2,46416 7,07437 -16,095764 Max 0,141 4,0563 0,6816 1,28063 -0,13133 0,1548864 Min -0,1848 -0,3783 -1,4892 -3,35918 0,21935 -0,11802

64,4 Max 0,141 4,0563 0,6816 1,28063 -0,30093 0,2918364,4 Min -0,1848 -0,3783 -1,4892 -3,35918 0,6578 -1,6904164,4 Max 18,2196 7,4918 2,9414 2,34722 -7,8135 14,6235264,4 Min -18,1691 -32,2067 -3,9342 -7,33825 7,64326 -17,4759

65 Max 18,2196 7,4918 2,9414 2,34722 -5,86795 21,3151765 Min -18,1691 -32,2067 -3,9342 -7,33825 6,55397 -13,470565 Max 17,1739 0,4126 3,8278 9,43836 -8,40636 19,4560865 Min -17,0668 -34,8655 -4,9778 -6,83086 9,41616 -11,675

67,52 Max 18,8826 1,154 3,5267 7,27255 -0,93534 95,019867,52 Min -16,3208 -31,6221 -5,69 -7,88954 3,07476 -9,6358167,52 Max 19,5113 1,669 3,5374 6,79479 -3,55436 93,6599367,52 Min -15,3737 -29,6474 -5,5506 -7,26185 4,7979 -9,1983370,64 Max 23,7703 3,4598 3,1503 5,98439 -1,86868 165,011270,64 Min -18,3676 -26,2067 -5,0432 -7,50481 4,40762 -8,0510170,64 Max 25,5609 4,4534 2,8211 5,63605 -1,75641 164,4545

Esf. Movel


Distance ItemType P V2 V3 T M2 M3m Tonf Tonf Tonf Tonf-m Tonf-m Tonf-m70,64 Min -19,1097 -24,5545 -4,6916 -6,98997 4,34232 -8,4424473,76 Max 30,1886 6,3845 2,292 4,97455 -2,20433 214,072273,76 Min -22,6391 -21,5682 -3,7419 -6,9361 5,43603 -9,0931373,76 Max 31,5477 7,3939 1,9764 4,71219 -1,89043 213,94273,76 Min -23,2599 -20,142 -3,3814 -6,25158 4,70201 -10,066976,88 Max 34,916 9,4687 1,6548 4,23466 -2,2404 244,404976,88 Min -25,6433 -17,4866 -2,5112 -5,88302 5,79718 -10,848676,88 Max 35,9355 10,516 1,3815 4,34203 -2,07258 244,344476,88 Min -26,0024 -16,2283 -2,2394 -5,17873 5,16577 -11,3456

80 Max 37,1133 12,7444 1,5973 4,36212 -2,15161 254,276280 Min -26,7085 -13,823 -1,6043 -4,82856 5,68108 -11,548880 Max 37,0673 13,8692 1,5727 4,83543 -2,2081 254,251280 Min -26,6293 -12,688 -1,5899 -4,33964 5,72508 -11,5243


95 Max 12,7412 34,8978 3,9255 6,21062 -7,89411 17,2544995 Min -12,2324 -0,3696 -2,9388 -8,9693 8,9716 -10,913395 Max 13,5216 32,3369 2,6314 6,38088 -6,20174 18,6729495 Min -13,4852 -7,4379 -1,7296 -1,92636 6,93043 -12,2432

95,6 Max 13,5216 32,3369 2,6314 6,38088 -7,08863 10,6137795,6 Min -13,4852 -7,4379 -1,7296 -1,92636 7,2007 -14,929295,6 Max 14,8902 1,6795 2,1995 6,80158 -6,43827 11,1902495,6 Min -13,5804 -9,5592 -1,6938 -2,17431 6,18901 -14,0421

96 Max 14,8902 1,6795 2,1995 6,80158 -6,0546 11,0595996 Min -13,5804 -9,5592 -1,6938 -2,17431 5,52654 -12,60196 Max 0,1215 4,0602 0,3939 1,13216 -0,1154 0,1374796 Min -0,1634 -0,3837 -1,0786 -3,1621 0,19906 -0,10128

96,4 Max 0,1215 4,0602 0,3939 1,13216 -0,14872 0,2790596,4 Min -0,1634 -0,3837 -1,0786 -3,1621 0,46673 -1,6846796,4 Max 13,7521 7,3805 3,1213 2,72714 -5,54858 10,9839496,4 Min -13,4919 -32,1301 -4,103 -7,66891 5,55364 -13,6849

97 Max 13,7521 7,3805 3,1213 2,72714 -3,4017 20,7349797 Min -13,4919 -32,1301 -4,103 -7,66891 4,17798 -12,833797 Max 12,6679 0,3563 3,5133 9,55449 -6,02215 18,6671697 Min -12,2241 -34,8673 -4,5659 -6,78109 7,22877 -10,8774

99,52 Max 13,874 1,1018 3,3461 7,26198 -0,65104 94,5413399,52 Min -11,5211 -31,6152 -5,3779 -7,72575 2,78099 -8,7676699,52 Max 15,463 1,6259 3,4135 6,75957 -2,84077 93,4941299,52 Min -11,3723 -29,6425 -5,3742 -7,10535 4,2669 -8,68503


112 Max 37,7581 12,6928 1,6028 4,3284 -2,17437 254,4908

Esf. Movel



112 Min -23,9097 -13,8335 -1,7032 -4,60084 5,80152 -12,057112 Max 37,7206 13,7969 1,5518 4,83089 -2,26763 254,4888112 Min -23,7155 -12,6971 -1,6424 -4,1054 5,76916 -12,06


127 Max 2,9392 34,8601 2,4557 5,95075 -2,40099 14,57073127 Min -2,3702 -0,3006 -1,5331 -7,89006 3,97786 -5,32434127 Max 1,2608 33,5582 2,024 6,79302 -0,62302 16,20149127 Min -1,2969 -3,7156 -0,7863 -2,16307 2,0572 -5,94879

127,49 Max 1,2608 33,5582 2,024 6,79302 -0,77439 1,09345127,49 Min -1,2969 -3,7156 -0,7863 -2,16307 1,51414 -5,24276127,49 Max 0,0642 0,3568 1,1006 5,81846 -0,14148 0,20266127,49 Min -0,0474 -7,754 -0,2535 -0,99761 0,67391 -3,96199

128 Max 0,0642 0,3568 1,1006 5,81846 -0,06706 0,04277128 Min -0,0474 -7,754 -0,2535 -0,99761 0,14909 -0,05129

0 Max 0,9761 14,5257 3,7151 4,13328 -0,36449 0,224730 Min -0,2715 -0,4252 -0,1922 -7,45382 0,60504 -0,79374

0,51 Max 0,9761 14,5257 3,7151 4,13328 -1,4944 0,424370,51 Min -0,2715 -0,4252 -0,1922 -7,45382 0,03307 -7,934490,51 Max 2,1223 3,0733 4,654 5,89881 -1,79307 1,250350,51 Min -1,1725 -58,0818 -1,1987 -9,05405 0,24701 -9,23245

1 Max 2,1223 3,0733 4,654 5,89881 -3,54663 26,27611 Min -1,1725 -58,0818 -1,1987 -9,05405 0,29204 -6,757231 Max 2,3038 0,2098 5,4279 26,27926 -8,7615 23,7171 Min -4,8453 -52,2875 -2,3677 -6,40707 2,16189 -6,11269


12,946 Max 60,6324 16,5437 4,2136 15,72958 -5,24575 322,806212,946 Min -34,4879 -26,1321 -2,4559 -8,32881 8,74788 -7,7132612,946 Max 61,1994 17,4907 4,014 13,95854 -5,01315 323,030112,946 Min -35,2284 -24,9188 -2,5393 -9,37423 8,86238 -7,973816,055 Max 63,9562 20,754 3,3358 12,32057 -5,35184 334,700316,055 Min -37,0134 -21,5182 -3,1207 -10,61887 8,83769 -8,2053216,055 Max 64,1509 21,7721 3,2028 10,9294 -5,31765 334,737416,055 Min -37,167 -20,5137 -3,2718 -12,03077 8,79837 -8,2512419,164 Max 62,4776 25,183 2,6364 9,72364 -5,09772 322,242219,164 Min -36,1413 -17,2687 -3,945 -13,67943 8,89332 -8,9236719,164 Max 62,3153 26,415 2,5181 8,73506 -5,22336 322,104719,164 Min -35,7112 -16,3308 -4,1559 -15,4707 8,72684 -8,8147322,273 Max 56,0301 30,2073 2,9498 7,72987 -4,84261 284,768222,273 Min -31,9658 -13,0434 -5,1246 -17,49834 9,00331 -9,5560222,273 Max 55,543

anteprojeto de engenharia para … - 311 -15-00/volume 3a - tomo...- sap 2000 – strucutral...

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