relatório_das_vigas_do_pavimento_fundação
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Memorial de Clculo Vigas BaldrameProjeto de Fundaes Viga V1............................................................................................................................................3 Relatrio de Clculo.....................................................................................................................3 DIMENSIONAMENTO DA ARMADURA POSITIVA...........................................................3 DIMENSIONAMENTO DA ARMADURA NEGATIVA.........................................................3 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL.................................................4 Verificao de esforos limites....................................................................................................4 Relatrio de Esforos...................................................................................................................6 Relatrio de Resultados................................................................................................................7 Viga V2............................................................................................................................................8 Relatrio de Clculo.....................................................................................................................8 DIMENSIONAMENTO DA ARMADURA POSITIVA...........................................................8 DIMENSIONAMENTO DA ARMADURA NEGATIVA.........................................................8 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL.................................................9 Verificao de esforos limites....................................................................................................9 Relatrio de Esforos.................................................................................................................10 Relatrio de Resultados..............................................................................................................11 Viga V3..........................................................................................................................................12 Relatrio de Clculo...................................................................................................................12 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................12 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................13 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................13 Verificao de esforos limites..................................................................................................14 Relatrio de Esforos.................................................................................................................15 Relatrio de Resultados..............................................................................................................16 Viga V4..........................................................................................................................................17 Relatrio de Clculo...................................................................................................................17 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................17 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................18 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................18 Verificao de esforos limites..................................................................................................18 Relatrio de Esforos.................................................................................................................20 Relatrio de Resultados..............................................................................................................21 Viga V5..........................................................................................................................................22 Relatrio de Clculo...................................................................................................................22 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................22 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................23 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................23 Verificao de esforos limites..................................................................................................23 Relatrio de Esforos.................................................................................................................25 Relatrio de Resultados..............................................................................................................26 Viga V6..........................................................................................................................................27 Relatrio de Clculo...................................................................................................................27 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................27 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................27 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................28 Verificao de esforos limites..................................................................................................28 Relatrio de Esforos.................................................................................................................30
Relatrio de Resultados..............................................................................................................31 Viga V7..........................................................................................................................................32 Relatrio de Clculo...................................................................................................................32 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................32 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................32 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................33 Verificao de esforos limites..................................................................................................33 Relatrio de Esforos.................................................................................................................35 Relatrio de Resultados..............................................................................................................36 Viga V8..........................................................................................................................................37 Relatrio de Clculo...................................................................................................................37 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................37 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................37 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................37 Verificao de esforos limites..................................................................................................37 Relatrio de Esforos.................................................................................................................39 Relatrio de Resultados..............................................................................................................40 Viga V9..........................................................................................................................................41 Relatrio de Clculo...................................................................................................................41 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................41 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................41 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................42 Verificao de esforos limites..................................................................................................42 Relatrio de Esforos.................................................................................................................43 Relatrio de Resultados..............................................................................................................44 Viga V10........................................................................................................................................45 Relatrio de Clculo...................................................................................................................45 DIMENSIONAMENTO DA ARMADURA POSITIVA.........................................................45 DIMENSIONAMENTO DA ARMADURA NEGATIVA.......................................................46 DIMENSIONAMENTO DA ARMADURA TRANSVERSAL...............................................46 Verificao de esforos limites..................................................................................................46 Relatrio de Esforos.................................................................................................................48 Relatrio de Resultados..............................................................................................................49
Viga V1 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 20.00 cm h = 40.00 cm Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm (Mom. mn. engaste) Fd = 0.08 tf situao: GE Meq = 14 kgf.m As = 0.71 cm A's = 0.00 cm yLN = 1.05 cm Fd = 0.30 tf situao: PE Meq = 50 kgf.m As = 0.98 cm A's = 0.00 cm yLN = 0.00 cm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 2 2-2 bw = 20.00 cm h = 40.00 cm
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Fd = 0.17 tf situao: GE Meq = 28 kgf.m As = 0.78 cm A's = 0.00 cm yLN = 1.17 cm
fiss = 0.00 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 3 3-3 bw = 20.00 cm h = 40.00 cm
Md = 1729 kgf.m As = 1.11 cm A's = 0.00 cm yLN = 1.60 cm (Mom. mn. engaste)
Fd = 1.65 tf situao: PE Meq = 273 kgf.m As = 1.64 cm A's = 0.00 cm yLN = 0.00 cm
fiss = 0.00 mm As = 1.64 cm (210.0 1.57 cm) d = 36.50 cm % armad. = 0.20
fiss = 0.01 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 6746 kgf.m As = 4.73 cm A's = 0.00 cm yLN = 6.77 cm
Verificao axial (compresso)Fd = 0.08 tf situao: GE Meq = 14 kgf.m As = 4.72 cm A's = 0.00 cm yLN = 6.79 cm
Verificao axial (trao)Fd = 0.30 tf situao: PE Meq = 48 kgf.m As = 5.78 cm A's = 0.00 cm yLN = 0.00 cm
FinalAs = 5.78 cm (316.0 - 6.03 cm) d = 36.20 cm % armad. = 0.75
N
Flexo
Verificao axial (compresso)Fd = 0.17 tf situao: GE Meq = 27 kgf.m As = 1.47 cm A's = 0.00 cm yLN = 2.16 cm Fd = 0.17 tf situao: GE Meq = 27 kgf.m As = 1.78 cm A's = 0.00 cm yLN = 2.61 cm
Verificao axial (trao)Fd = 0.30 tf situao: PE Meq = 49 kgf.m As = 1.97 cm A's = 0.00 cm yLN = 0.00 cm Fd = 1.65 tf situao: PE Meq = 271 kgf.m As = 2.51 cm A's = 0.00 cm yLN = 0.00 cm Fd = 1.65 tf situao: PE Meq = 273 kgf.m As = 1.06 cm A's = 0.00 cm yLN = 0.00 cm
Finalfiss = 0.02 mm As = 1.97 cm (212.5 - 2.45 cm) d = 36.38 cm % armad. = 0.31
2
Md = 2291 kgf.m As = 1.49 cm A's = 0.00 cm yLN = 2.14 cm
3
Md = 2749 kgf.m As = 1.80 cm A's = 0.00 cm yLN = 2.58 cm
fiss = 0.01 mm As = 2.51 cm (212.5 - 2.45 cm) d = 36.38 cm % armad. = 0.31
4
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.31 cm
fiss = 0.02 mm As = 1.20 cm (210.0 - 1.57 cm) d = 36.50 cm % armad. = 0.20
fiss = 0.01 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-3 Vd = 3.77 tf VRd2 = 31.76 tf Vd = 2.77 tf VRd2 = 31.76 tf Vd = 2.87 tf VRd2 = 31.68 tf Td = 29 kgf.m TRd2 = 2381 kgf.m Td = 4 kgf.m TRd2 = 2381 kgf.m Td = 1 kgf.m TRd2 = 2381 kgf.m
I 45
Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.13 Vd/VRd2 + Td/TRd2 = 0.09 Vd/VRd2 + Td/TRd2 = 0.09
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1 2 2-2
d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00
Vc = 0.83 tf Vsw = 2.94 tf Asw = 2.05 cm (2 ramos) 5.0 c/ 20
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 2.95 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1 3 3-3
d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 36.50 cm Vc0 = 5.62 tf k = 1.00
Vc = 0.83 tf Vsw = 2.94 tf Asw = 2.05 cm (2 ramos) 5.0 c/ 20
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho V6 1 V7 2 V9 3 V10 490.00 445.00 530.00 465.00 515.00 470.00 Apoio 1 e 1o (cm) Larg Barra (cm) 20.00 470.00 70.00 465.00 60.00 445.00 30.00 746.00 0.00 0.00 -1.38 2.87 1.59 746.00 0.00 0.17 0.00 2.77 4.09 -2748.71 1270.92 -1044.42 -0.27 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) 2.73 -6746.35 746.00 0.00 0.08 -0.25 3.77 3.08 -2291.45 1255.98 -2487.84 -0.23 184.43 -989.32 Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 470.00 70.00 465.00 60.00 445.00 30.00 20.00 x 40.00 2 10.0 1.64 2 10.0 1.20 20.00 x 40.00 3 8.0 1.20 2 12.5 2.51 5.0 c/ 20 20.00 x 40.00 3 8.0 1.20 2 12.5 1.97 5.0 c/ 20 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Resultados Seo (cm) As Inf (cm) As Sup (cm) 3 16.0 5.78 5.0 c/ 20 100.00 5.0 c/ 20 As esq trecho (cm) Asw min (cm) As dir trecho (cm) Asw Pele (cm) Fissura (mm) 0.02 0.00 0.01 0.00 0.02 0.01 0.01 0.27 0.23 0.49 Flecha (cm)
Pilar Trecho V6 1 V7 2 V9 3 V10
Viga V2 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 25.00 cm h = 60.00 cm Md = 9821 kgf.m As = 4.18 cm A's = 0.00 cm yLN = 4.79 cm Fd = 0.15 tf situao: GE Meq = 40 kgf.m As = 4.17 cm A's = 0.00 cm yLN = 4.82 cm As = 4.18 cm (412.5 4.91 cm) d = 56.38 cm % armad. = 0.33
retangular 2 2-2 bw = 25.00 cm h = 60.00 cm
Md = 4001 kgf.m As = 1.66 cm A's = 0.00 cm yLN = 1.90 cm (Mom. mn. engaste)
Fd = 0.37 tf situao: GE Meq = 97 kgf.m As = 1.50 cm A's = 0.00 cm yLN = 1.82 cm
Fd = 0.15 tf situao: PE Meq = 40 kgf.m As = 1.97 cm A's = 0.00 cm yLN = 0.00 cm
fiss = 0.02 mm As = 2.25 cm (212.5 2.45 cm) d = 56.38 cm % armad. = 0.16
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
Verificao axial (compresso)
Verificao axial (trao)
Final
2
Md = 26174 kgf.m As = 12.54 cm A's = 0.00 cm yLN = 14.36 cm
Fd = 0.37 tf situao: GE Meq = 93 kgf.m As = 12.50 cm A's = 0.00 cm yLN = 14.42 cm Fd = 0.37 tf situao: GE Meq = 97 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.05 cm
Fd = 0.15 tf situao: PE Meq = 38 kgf.m As = 14.35 cm A's = 0.00 cm yLN = 0.00 cm Fd = 0.15 tf situao: PE Meq = 40 kgf.m As = 0.02 cm A's = 0.02 cm yLN = 0.00 cm
As = 14.35 cm (520.0 - 15.71 cm) d = 55.20 cm % armad. = 1.05
3
Md = 4001 kgf.m As = 1.66 cm A's = 0.00 cm yLN = 1.90 cm
fiss = 0.01 mm As = 2.25 cm (310.0 - 2.36 cm) d = 56.50 cm % armad. = 0.16 210.0 - 1.57 cm) fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 Vd = 51.34 tf VRd2 = 61.16 tf Vd = 8.10 tf VRd2 = 61.16 tf Td = 256 kgf.m TRd2 = 5870 kgf.m Td = 29 kgf.m TRd2 = 5870 kgf.m
I 45
Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.88 Vd/VRd2 + Td/TRd2 = 0.14
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnima Armad. direitaVc = 10.84 tf Vsw = 40.50 tf Asw = 18.36 cm (2 ramos) 8.0 c/ 5 Vmin = 5.70 tf Aswmin = 2.56 cm (2 ramos) 5.0 c/ 16
ARMADURA DE TORO Dados toro Armad. de toro
1 1-1
d = 56.38 cm Vc0 = 10.84 tf k = 1.00
Vc = 10.84 tf Vsw = 39.61 tf Asw = 17.96 cm (2 ramos) 8.0 c/ 5 Vc = 2.44 tf Vsw = 5.66 tf Asw = 2.56 cm (2 ramos) 5.0 c/ 16
2 2-2
d = 56.38 cm Vc0 = 10.84 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho Apoio 1 e 1o (cm) 70.71 35.36 Larg Barra (cm) 28.28 35.36 41.97 650.58 608.60 608.60 41.97 921.00 0.00 0.37 -0.13 8.10 0.11 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) Mdmx (kgf.m) Md+ (kgf.m) 9821.03 921.00 0.00 0.15 0.00 51.34 -26172.46 42.70 -26173.68 3.75 0.00 0.00 Md(kgf.m) flecha (cm) -0.49 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
1 P17 2 P6
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 28.28 35.36 41.97 608.60 41.97 25.00 x 60.00 2 12.5 2.25 2 10.0 0.02 3 10.0 2.25 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) 8.0 c/ 5 100.00 5 20.0 14.35 5.0 c/ 16 100.00 5.0 c/ 16 2x3 8.0 Resultados As dir Asw min trecho (cm) (cm) 8.0 c/ 5 100.00
Pilar Trecho
Seo (cm) 25.00 x 60.00
As Inf (cm) 4 12.5 4.18
As Sup (cm)
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
1 P17 2 P6
2x3 8.0
0.02 0.01 0.00 0.00
0.49
0.04
Viga V3 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 45.00 cm h = 75.00 cm Md = 11254 kgf.m As = 3.69 cm A's = 0.00 cm yLN = 2.35 cm (Mom. mn. engaste) Fd = 0.05 tf situao: GE Meq = 17 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.01 cm As = 5.06 cm (412.5 4.91 cm) d = 71.38 cm % armad. = 0.15
retangular 2 2-2 bw = 45.00 cm h = 75.00 cm
Md = 11254 kgf.m As = 3.69 cm A's = 0.00 cm yLN = 2.35 cm
Fd = 8.78 tf situao: PE Meq = 2974 kgf.m As = 2.15 cm A's = 1.05 cm yLN = 0.00 cm
retangular 3 3-3 bw = 20.00 cm h = 50.00 cm
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm
Fd = 0.67 tf situao: GE Meq = 146 kgf.m As = 0.78 cm A's = 0.00 cm yLN = 1.34 cm
fiss = 0.00 mm As = 5.06 cm (412.5 4.91 cm) d = 71.38 cm % armad. = 0.15 1.05 cm (410.0 3.14 cm) fiss = 0.00 mm As = 1.50 cm (38.0 1.51 cm) d = 46.60 cm % armad. = 0.15
retangular 4 4-4 bw = 20.00 cm h = 50.00 cm
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm (Mom. mn. engaste)
Fd = 0.65 tf situao: GE Meq = 141 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.11 cm
fiss = 0.01 mm As = 1.50 cm (38.0 1.51 cm) d = 46.60 cm % armad. = 0.15
5
retangular
Md = 2223 kgf.m
Fd = 1.42 tf situao: GE
fiss = 0.00 mm As = 1.50 cm
Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Vobw = 20.00 cm h = 50.00 cm As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm (Mom. mn. engaste) Meq = 307 kgf.m As = 0.57 cm A's = 0.00 cm yLN = 1.28 cm (38.0 1.51 cm) d = 46.60 cm % armad. = 0.15
5-5
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm Md = 32377 kgf.m As = 11.03 cm A's = 0.00 cm yLN = 7.02 cm Md = 2223 kgf.m As = 1.14 cm A's = 0.00 cm yLN = 1.63 cm
Verificao axial (compresso)
Verificao axial (trao)
Final
2
3
Fd = 0.05 tf situao: GE Meq = 17 kgf.m As = 11.03 cm A's = 0.00 cm yLN = 7.03 cm Fd = 0.67 tf situao: GE Meq = 140 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.52 cm Fd = 0.67 tf situao: GE Meq = 146 kgf.m As = 1.13 cm A's = 0.00 cm yLN = 1.84 cm Fd = 1.42 tf situao: GE Meq = 307 kgf.m As = 1.02 cm A's = 0.00 cm yLN = 1.93 cm Fd = 1.42 tf situao: GE Meq = 307 kgf.m As = 0.26 cm A's = 0.00 cm yLN = 0.84 cm
Fd = 8.78 tf situao: PE Meq = 2941 kgf.m As = 14.35 cm A's = 1.05 cm yLN = 0.00 cm Fd = 8.78 tf situao: PE Meq = 1822 kgf.m As = 2.30 cm A's = 1.05 cm yLN = 0.00 cm
4
Md = 2404 kgf.m As = 1.21 cm A's = 0.00 cm yLN = 1.73 cm
As = 14.35 cm (520.0 - 15.71 cm) d = 71.00 cm % armad. = 0.47 410.0 - 3.14 cm) fiss = 0.02 mm As = 2.30 cm (410.0 - 3.14 cm) d = 45.75 cm % armad. = 0.31 410.0 - 3.14 cm) fiss = 0.01 mm As = 1.50 cm (38.0 - 1.51 cm) d = 46.60 cm % armad. = 0.15
5
Md = 2362 kgf.m As = 1.19 cm A's = 0.00 cm yLN = 1.70 cm
fiss = 0.01 mm As = 1.50 cm (38.0 - 1.51 cm) d = 46.60 cm % armad. = 0.15
6
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm
fiss = 0.01 mm As = 1.50 cm (38.0 - 1.51 cm) d = 46.60 cm % armad. = 0.15
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo I
Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-3 4 4-4 5 5-5 Vd = 65.22 tf VRd2 = 139.37 tf Vd = 11.07 tf VRd2 = 139.37 tf Vd = 3.00 tf VRd2 = 40.44 tf Vd = 0.83 tf VRd2 = 40.44 tf Vd = 2.78 tf VRd2 = 40.44 tf Td = 309 kgf.m TRd2 = 21304 kgf.m Td = 40 kgf.m TRd2 = 21304 kgf.m Td = 5 kgf.m TRd2 = 3163 kgf.m Td = 5 kgf.m TRd2 = 3163 kgf.m Td = 9 kgf.m TRd2 = 3163 kgf.m
45 Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.48 Vd/VRd2 + Td/TRd2 = 0.08 Vd/VRd2 + Td/TRd2 = 0.08 Vd/VRd2 + Td/TRd2 = 0.02 Vd/VRd2 + Td/TRd2 = 0.07
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnima Armad. direitaVc = 24.72 tf Vsw = 40.50 tf Asw = 14.50 cm (4 ramos) 5.0 c/ 5 Vmin = 13.58 tf Aswmin = 4.62 cm (4 ramos) 5.0 c/ 17 Vmin = 3.77 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 3.77 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 3.77 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
1 1-1
d = 71.38 cm Vc0 = 24.72 tf k = 1.00
Vc = 24.72 tf Vsw = 39.57 tf Asw = 14.17 cm (4 ramos) 5.0 c/ 5
2 2-2 3 3-3 4 4-4 5 5-5
d = 71.38 cm Vc0 = 24.72 tf k = 1.00 d = 46.60 cm Vc0 = 7.17 tf k = 1.00 d = 46.60 cm Vc0 = 7.17 tf k = 2.00 d = 46.60 cm Vc0 = 7.17 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho Apoio 1 e 1o (cm) 50.00 30.00 Larg Barra (cm) 20.00 30.00 20.00 465.00 440.00 440.00 30.00 530.00 485.00 485.00 60.00 50.00 5.00 5.00 30.00 440.00 415.00 415.00 20.00 796.00 0.00 1.42 0.00 2.78 1.53 796.00 0.00 0.65 0.00 0.83 -2008.75 2.10 -2361.83 1190.82 -875.57 -0.09 796.00 0.00 0.67 0.00 3.00 2.52 -2252.77 1389.75 0.00 0.00 -7.32 11.07 2811.62 0.59 -1939.09 1727.29 -2404.00 -0.15 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) -0.11 1389.75 0.00 0.05 0.00 65.22 -32377.10 54.82 -28518.72 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
1 P21 2 P6 3 V9 4 P7 5 P8
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 30.00 20.00 440.00 30.00 485.00 60.00 5.00 30.00 415.00 20.00 20.00 x 50.00 3 8.0 1.50 3 8.0 1.50 20.00 x 50.00 3 8.0 1.50 3 8.0 1.50 5.0 c/ 20 20.00 x 50.00 45.00 x 75.00 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) 5.0 c/ 5 100.00 5 20.0 14.35 4 10.0 1.05 4 10.0 2.30 5.0 c/ 20 3 8.0 1.50 5.0 c/ 20 5.0 c/ 17 2x7 8.0 Resultados As dir Asw min trecho (cm) (cm) 5.0 c/ 5 100.00
Pilar Trecho
Seo (cm) 45.00 x 75.00
As Inf (cm) 4 12.5 5.06 4 10.0 1.05 4 12.5 5.06 4 10.0 1.05 3 8.0 1.50
As Sup (cm)
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
1 P21 2 P6 3 V9 4 P7 5 P8
2x7 8.0
0.00 0.02 0.00 0.01 0.01 0.01 0.00 0.01 0.00 0.00
0.11
0.04
0.15
0.04
0.09
Viga V4 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 45.00 cm h = 75.00 cm Md = 11254 kgf.m As = 3.69 cm A's = 0.00 cm yLN = 2.35 cm (Mom. mn. engaste) Fd = 0.02 tf situao: PE Meq = 7 kgf.m As = 0.02 cm A's = 0.00 cm yLN = 0.00 cm As = 5.06 cm (412.5 4.91 cm) d = 71.38 cm % armad. = 0.15
retangular 2 2-2 bw = 45.00 cm h = 75.00 cm
Md = 11254 kgf.m As = 3.69 cm A's = 0.00 cm yLN = 2.35 cm
Fd = 9.52 tf situao: PE Meq = 3226 kgf.m As = 2.36 cm A's = 1.13 cm yLN = 0.00 cm
retangular 3 3-4 bw = 20.00 cm h = 50.00 cm
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm
Fd = 1.88 tf situao: GE Meq = 406 kgf.m As = 0.77 cm A's = 0.00 cm yLN = 1.72 cm
fiss = 0.00 mm As = 5.06 cm (412.5 4.91 cm) d = 71.38 cm % armad. = 0.15 1.13 cm (410.0 3.14 cm) fiss = 0.01 mm As = 1.50 cm (38.0 1.51 cm) d = 46.60 cm % armad. = 0.15
retangular 4 5-5 bw = 20.00 cm h = 50.00 cm
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm (Mom. mn. engaste)
Fd = 0.70 tf situao: GE Meq = 150 kgf.m As = 0.66 cm A's = 0.00 cm yLN = 1.17 cm
fiss = 0.01 mm As = 1.50 cm (38.0 1.51 cm) d = 46.60 cm % armad. = 0.15
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm Md = 35099 kgf.m As = 12.02 cm A's = 0.00 cm yLN = 7.65 cm Md = 2351 kgf.m As = 1.20 cm A's = 0.00 cm yLN = 1.73 cm Md = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
Verificao axial (compresso)
Verificao axial (trao)
Final
2
3
Fd = 1.88 tf situao: GE Meq = 390 kgf.m As = 0.98 cm A's = 0.00 cm yLN = 2.02 cm
Fd = 9.52 tf situao: PE Meq = 3190 kgf.m As = 15.55 cm A's = 1.13 cm yLN = 0.00 cm Fd = 9.52 tf situao: PE Meq = 1976 kgf.m As = 2.66 cm A's = 1.13 cm yLN = 0.00 cm
As = 15.55 cm (520.0 - 15.71 cm) d = 71.00 cm % armad. = 0.47 410.0 - 3.14 cm) fiss = 0.03 mm As = 2.66 cm (410.0 - 3.14 cm) d = 45.75 cm % armad. = 0.31 410.0 - 3.14 cm) fiss = 0.01 mm
4
5
Md = 4068 kgf.m As = 2.07 cm A's = 0.00 cm yLN = 2.97 cm
Fd = 1.88 tf situao: GE Meq = 406 kgf.m As = 1.86 cm A's = 0.00 cm yLN = 3.28 cm Fd = 0.70 tf situao: GE Meq = 150 kgf.m As = 0.21 cm A's = 0.00 cm yLN = 0.53 cm
As = 2.07 cm (48.0 - 2.01 cm) d = 46.60 cm % armad. = 0.20
6
Md = 2223 kgf.m As = 1.12 cm A's = 0.00 cm yLN = 1.60 cm
fiss = 0.02 mm As = 1.50 cm (38.0 - 1.51 cm) d = 46.60 cm % armad. = 0.15
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-4 4 5-5 Vd = 70.66 tf VRd2 = 139.37 tf Vd = 11.64 tf VRd2 = 139.37 tf Vd = 5.45 tf VRd2 = 40.44 tf Vd = 2.99 tf VRd2 = 40.44 tf Td = 115 kgf.m TRd2 = 21304 kgf.m Td = 28 kgf.m TRd2 = 21304 kgf.m Td = 2 kgf.m TRd2 = 3163 kgf.m Td = 3 kgf.m TRd2 = 3163 kgf.m
I 45 Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.51 Vd/VRd2 + Td/TRd2 = 0.08 Vd/VRd2 + Td/TRd2 = 0.14 Vd/VRd2 + Td/TRd2 = 0.07
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnima Armad. direitaVc = 24.72 tf Vsw = 45.95 tf Asw = 16.45 cm (4 ramos) 5.0 c/ 5 Vmin = 13.58 tf Aswmin = 4.62 cm (4 ramos) 5.0 c/ 17 Vmin = 3.77 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 3.77 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
1 1-1
d = 71.38 cm Vc0 = 24.72 tf k = 1.00
Vc = 24.72 tf Vsw = 45.02 tf Asw = 16.12 cm (4 ramos) 5.0 c/ 5
2 2-2 3 3-4 4 5-5
d = 71.38 cm Vc0 = 24.72 tf k = 1.00 d = 46.60 cm Vc0 = 7.17 tf k = 1.07 d = 46.60 cm Vc0 = 7.17 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho Apoio 1 e 1o (cm) 50.00 30.00 Larg Barra (cm) 20.00 30.00 20.00 465.00 440.00 440.00 30.00 505.00 20.00 -1481.04 4 P11 5 P12 440.00 415.00 25.00 30.00 415.00 20.00 796.00 0.00 0.70 0.00 2.99 1.39 796.00 0.00 1.88 0.00 5.45 -4068.15 6.12 -2998.88 1095.37 -592.51 -0.07 796.00 0.00 1.88 0.00 3.07 1389.75 0.00 0.00 -7.94 11.64 3101.03 0.34 -2351.00 3 1986.43 -1485.42 -0.06 -0.19 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) -0.12 1389.75 0.00 0.00 -0.02 70.66 -35098.66 59.11 -30910.59 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
1 P22 2 P10
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 30.00 20.00 440.00 30.00 550.00 30.00 415.00 20.00 20.00 x 50.00 3 8.0 1.50 3 8.0 1.50 20.00 x 50.00 45.00 x 75.00 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) 5.0 c/ 5 100.00 5 20.0 15.55 4 10.0 1.13 4 10.0 2.66 5.0 c/ 20 4 8.0 2.07 5.0 c/ 20 5.0 c/ 17 2x7 8.0 Resultados As dir Asw min trecho (cm) (cm) 5.0 c/ 5 100.00
Pilar Trecho
Seo (cm) 45.00 x 75.00
As Inf (cm) 4 12.5 5.06 4 10.0 1.13 4 12.5 5.06 4 10.0 1.13 3 8.0 1.50
As Sup (cm)
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
1 P22 2 P10 3 P11 4 P12
2x7 8.0
0.00 0.03 0.01 0.01 0.01 0.02 0.00 0.00
0.12
0.04
0.19
0.07
Viga V5 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 35.00 cm h = 65.00 cm Md = 6574 kgf.m As = 2.51 cm A's = 0.00 cm yLN = 2.05 cm (Mom. mn. engaste) As = 3.41 cm (312.5 3.68 cm) d = 61.38 cm % armad. = 0.16
retangular 2 2-2 bw = 35.00 cm h = 65.00 cm
Md = 6574 kgf.m As = 2.51 cm A's = 0.00 cm yLN = 2.05 cm
Fd = 10.41 tf situao: PE Meq = 3005 kgf.m As = 2.51 cm A's = 1.24 cm yLN = 0.00 cm
retangular 3 3-3 bw = 20.00 cm h = 40.00 cm
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Fd = 0.42 tf situao: GE Meq = 70 kgf.m As = 0.85 cm A's = 0.00 cm yLN = 1.35 cm
fiss = 0.00 mm As = 3.41 cm (312.5 3.68 cm) d = 61.38 cm % armad. = 0.16 1.24 cm (210.0 1.57 cm) fiss = 0.01 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 4 4-4 bw = 20.00 cm h = 40.00 cm
Md = 1729 kgf.m As = 1.11 cm A's = 0.00 cm yLN = 1.59 cm (Mom. mn. engaste)
Fd = 1.52 tf situao: GE Meq = 253 kgf.m As = 0.93 cm A's = 0.00 cm yLN = 1.83 cm
fiss = 0.01 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
fiss = 0.01 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm Md = 26106 kgf.m As = 10.60 cm A's = 0.00 cm yLN = 8.67 cm Md = 1897 kgf.m As = 1.22 cm A's = 0.00 cm yLN = 1.75 cm
Verificao axial (compresso)
Verificao axial (trao)
Final
2
3
Fd = 0.42 tf situao: GE Meq = 70 kgf.m As = 1.17 cm A's = 0.00 cm yLN = 1.82 cm Fd = 1.52 tf situao: GE Meq = 253 kgf.m As = 1.64 cm A's = 0.00 cm yLN = 2.85 cm Fd = 1.52 tf situao: GE Meq = 253 kgf.m As = 0.46 cm A's = 0.00 cm yLN = 1.16 cm
Fd = 10.41 tf situao: PE Meq = 2966 kgf.m As = 13.84 cm A's = 1.24 cm yLN = 0.00 cm Fd = 10.41 tf situao: PE Meq = 1717 kgf.m As = 2.78 cm A's = 1.24 cm yLN = 0.00 cm
4
Md = 2790 kgf.m As = 1.82 cm A's = 0.00 cm yLN = 2.60 cm
As = 13.84 cm (520.0 - 15.71 cm) d = 61.00 cm % armad. = 0.69 210.0 - 1.57 cm) fiss = 0.02 mm As = 2.78 cm (410.0 - 3.14 cm) d = 36.50 cm % armad. = 0.39 210.0 - 1.57 cm) fiss = 0.01 mm As = 1.82 cm (48.0 - 2.01 cm) d = 36.60 cm % armad. = 0.25
5
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
fiss = 0.01 mm As = 1.20 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-3 4 4-4 Vd = 52.59 tf VRd2 = 93.21 tf Vd = 8.65 tf VRd2 = 93.21 tf Vd = 2.86 tf VRd2 = 31.76 tf Vd = 2.89 tf VRd2 = 31.76 tf Td = 380 kgf.m TRd2 = 11580 kgf.m Td = 39 kgf.m TRd2 = 11580 kgf.m Td = 6 kgf.m TRd2 = 2381 kgf.m Td = 6 kgf.m TRd2 = 2381 kgf.m
I 45 Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.60 Vd/VRd2 + Td/TRd2 = 0.10 Vd/VRd2 + Td/TRd2 = 0.09 Vd/VRd2 + Td/TRd2 = 0.09
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnima Armad. direitaVc = 16.53 tf Vsw = 36.06 tf Asw = 15.01 cm (2 ramos) 8.0 c/ 7 Vmin = 9.03 tf Aswmin = 3.59 cm (2 ramos) 5.0 c/ 11 Vmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
1 1-1
d = 61.38 cm Vc0 = 16.53 tf k = 1.00
Vc = 16.53 tf Vsw = 35.31 tf Asw = 14.70 cm (2 ramos) 8.0 c/ 7
2 2-2 3 3-3 4 4-4
d = 61.38 cm Vc0 = 16.53 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho Apoio 1 e 1o (cm) 50.00 30.00 Larg Barra (cm) 20.00 30.00 20.00 465.00 440.00 440.00 30.00 530.00 500.00 500.00 30.00 490.00 465.00 465.00 20.00 746.00 0.00 1.52 0.00 2.89 1.58 746.00 0.00 0.42 0.00 2.86 4.16 -2790.40 1296.48 -1014.01 -0.16 1114.75 0.00 0.00 -8.67 8.65 2738.31 0.87 -1897.18 1405.09 -2577.35 -0.20 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) -0.14 1114.75 0.00 0.00 0.00 52.59 -26105.98 43.91 -21233.17 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
1 P23 2 P14 3 P15 4 P16
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 30.00 20.00 440.00 30.00 500.00 30.00 465.00 20.00 20.00 x 40.00 3 8.0 1.20 3 8.0 1.20 20.00 x 40.00 35.00 x 65.00 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) 8.0 c/ 7 100.00 5 20.0 13.84 2 10.0 1.24 4 10.0 2.78 5.0 c/ 20 4 8.0 1.82 5.0 c/ 20 5.0 c/ 11 2x3 10.0 Resultados As dir Asw min trecho (cm) (cm) 8.0 c/ 7 100.00
Pilar Trecho
Seo (cm) 35.00 x 65.00
As Inf (cm) 3 12.5 3.41 2 10.0 1.24 3 12.5 3.41 2 10.0 1.24 3 8.0 1.20
As Sup (cm)
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
1 P23 2 P14 3 P15 4 P16
2x3 10.0
0.00 0.02 0.01 0.01 0.01 0.01 0.01 0.00
0.14
0.03
0.20
0.16
Viga V6 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 20.00 cm h = 40.00 cm Md = 1729 kgf.m As = 1.11 cm A's = 0.00 cm yLN = 1.60 cm (Mom. mn. engaste) As = 1.65 cm (210.0 1.57 cm) d = 36.50 cm % armad. = 0.20 0.21 cm (210.0 1.57 cm) fiss = 0.01 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
Fd = 1.79 tf situao: PE Meq = 295 kgf.m As = 1.65 cm A's = 0.21 cm yLN = 0.00 cm
retangular 2 2-2 bw = 20.00 cm h = 40.00 cm
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Fd = 0.16 tf situao: PE Meq = 26 kgf.m As = 0.90 cm A's = 0.00 cm yLN = 0.00 cm
retangular 3 3-3 bw = 20.00 cm h = 40.00 cm
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm (Mom. mn. engaste)
Fd = 0.07 tf situao: GE Meq = 12 kgf.m As = 0.68 cm A's = 0.00 cm yLN = 1.00 cm
Fd = 0.28 tf situao: PE Meq = 46 kgf.m As = 0.94 cm A's = 0.00 cm yLN = 0.00 cm
fiss = 0.00 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N FlexoMd = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Verificao axial (compresso)
Verificao axial (trao)Fd = 1.79 tf situao: PE Meq = 297 kgf.m As = 1.20 cm A's = 0.21 cm yLN = 0.00 cm
FinalAs = 1.20 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19 210.0 - 1.57 cm) fiss = 0.01 mm
1
N
FlexoMd = 2554 kgf.m As = 1.66 cm A's = 0.00 cm yLN = 2.38 cm
Verificao axial (compresso)
Verificao axial (trao)Fd = 1.79 tf situao: PE Meq = 295 kgf.m As = 2.34 cm A's = 0.21 cm yLN = 0.00 cm
FinalAs = 2.34 cm (310.0 - 2.36 cm) d = 36.50 cm % armad. = 0.29 210.0 - 1.57 cm) fiss = 0.01 mm As = 1.57 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19
2
3
Md = 1847 kgf.m As = 1.19 cm A's = 0.00 cm yLN = 1.70 cm
Fd = 0.07 tf situao: GE Meq = 12 kgf.m As = 1.18 cm A's = 0.00 cm yLN = 1.71 cm Fd = 0.07 tf situao: GE Meq = 11 kgf.m As = 5.09 cm A's = 0.00 cm yLN = 7.31 cm
Fd = 0.28 tf situao: PE Meq = 46 kgf.m As = 1.57 cm A's = 0.00 cm yLN = 0.00 cm Fd = 0.28 tf situao: PE Meq = 43 kgf.m As = 6.27 cm A's = 0.00 cm yLN = 0.00 cm
4
Md = 7103 kgf.m As = 5.09 cm A's = 0.00 cm yLN = 7.29 cm
fiss = 0.01 mm As = 6.27 cm (512.5 - 6.14 cm) d = 35.72 cm % armad. = 0.77
fiss = 0.01 mm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-3 Vd = 2.80 tf VRd2 = 31.68 tf Vd = 2.55 tf VRd2 = 31.76 tf Vd = 3.87 tf VRd2 = 31.76 tf Td = 1 kgf.m TRd2 = 2381 kgf.m Td = 4 kgf.m TRd2 = 2381 kgf.m Td = 29 kgf.m TRd2 = 2381 kgf.m
I 45
Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.09 Vd/VRd2 + Td/TRd2 = 0.08 Vd/VRd2 + Td/TRd2 = 0.13
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.95 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 2.96 tf Aswmin = 2.05 cm (2 ramos)
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1 2 2-2 3 3-3
d = 36.50 cm Vc0 = 5.62 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00
Vc = 0.93 tf Vsw = 2.94 tf Asw = 2.05 cm
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.95 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 5.0 c/ 20 (2 ramos) 5.0 c/ 20
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1
d = 36.50 cm Vc0 = 5.62 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho V5 1 V4 2 V3 3 V1 505.00 472.50 485.00 440.00 490.00 450.00 Apoio 1 e 1o (cm) Larg Barra (cm) 35.00 450.00 45.00 440.00 45.00 472.50 20.00 746.00 0.00 0.07 -0.23 3.87 2.80 746.00 0.00 0.00 -0.13 2.55 2.75 -649.52 210.57 -7103.11 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) 1.63 -1199.71 746.00 0.00 0.00 -1.49 2.80 3.88 -2108.16 1062.91 -1847.29 -0.21 1263.98 -2554.28 -0.26 Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 35.00 450.00 45.00 440.00 45.00 472.50 20.00 20.00 x 40.00 3 8.0 1.20 5 12.5 6.27 20.00 x 40.00 20.00 x 40.00 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) Resultados As dir Asw min trecho (cm) (cm)
Pilar Trecho V5 1 V4 2 V3 3 V1
Seo (cm)
As Inf (cm) 2 10.0 0.21 2 10.0 1.65 2 10.0 0.21 3 8.0 1.20
As Sup (cm) 3 8.0 1.20 2 10.0 0.21 3 10.0 2.34
Asw Pele (cm)
Fissura (mm) 0.01
Flecha (cm)
5.0 c/ 20
0.01 0.01
0.26
5.0 c/ 20 3 8.0 1.57 5.0 c/ 20 5.0 c/ 20 100.00
0.00 0.01 0.00 0.01
0.21
0.49
Viga V7 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 20.00 cm h = 40.00 cm Md = 1729 kgf.m As = 1.11 cm A's = 0.00 cm yLN = 1.59 cm (Mom. mn. engaste) Fd = 1.97 tf situao: GE Meq = 328 kgf.m As = 0.87 cm A's = 0.00 cm yLN = 1.90 cm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 2 2-3 bw = 70.00 cm h = 90.00 cm
Md = 25208 kgf.m As = 6.84 cm A's = 0.00 cm yLN = 2.80 cm (Mom. mn. engaste)
Fd = 2.31 tf situao: GE Meq = 952 kgf.m As = 2.51 cm A's = 0.00 cm yLN = 1.24 cm
Fd = 4.52 tf situao: PE Meq = 1861 kgf.m As = 3.99 cm A's = 0.00 cm yLN = 0.00 cm
fiss = 0.00 mm As = 9.45 cm (516.0 10.05 cm) d = 86.20 cm % armad. = 0.16
retangular 3 4-4 bw = 70.00 cm h = 90.00 cm
Md = 25208 kgf.m As = 6.84 cm A's = 0.00 cm yLN = 2.80 cm (Mom. mn. engaste)
Fd = 0.04 tf situao: GE Meq = 15 kgf.m As = 0.01 cm A's = 0.00 cm yLN = 0.01 cm
fiss = 0.00 mm As = 9.45 cm (516.0 10.05 cm) d = 86.20 cm % armad. = 0.16
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Verificao axial (compresso)Fd = 1.97 tf situao: GE Meq = 328 kgf.m As = 0.55 cm A's = 0.00 cm yLN = 1.44 cm
Verificao axial (trao)
FinalAs = 1.20 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19
N
Flexo
Verificao axial (compresso)Fd = 2.31 tf situao: GE Meq = 364 kgf.m As = 2.09 cm A's = 0.00 cm yLN = 3.75 cm
Verificao axial (trao)
Finalfiss = 0.00 mm As = 2.36 cm (410.0 - 3.14 cm) d = 35.75 cm % armad. = 0.39
2
Md = 3493 kgf.m As = 2.36 cm A's = 0.00 cm yLN = 3.38 cm
fiss = 0.01 mm Fd = 3.05 tf situao: PE Meq = 1258 kgf.m As = 0.44 cm A's = 0.27 cm yLN = 0.00 cm
3
Md = 25208 kgf.m As = 6.84 cm A's = 0.00 cm yLN = 2.80 cm
4
Md = 43257 kgf.m As = 11.91 cm A's = 0.00 cm yLN = 4.87 cm
Fd = 0.04 tf situao: GE Meq = 15 kgf.m As = 11.90 cm A's = 0.00 cm yLN = 4.87 cm
Fd = 4.52 tf situao: PE Meq = 1852 kgf.m As = 15.08 cm A's = 0.00 cm yLN = 0.00 cm
As = 15.08 cm (520.0 - 15.71 cm) d = 86.00 cm % armad. = 0.25
fiss = 0.03 mm
5
Md = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-3 3 4-4 Vd = 2.82 tf VRd2 = 31.76 tf Vd = 16.44 tf VRd2 = 261.83 tf Vd = 87.22 tf VRd2 = 261.83 tf Td = 0 kgf.m TRd2 = 2381 kgf.m Td = 235 kgf.m TRd2 = 55966 kgf.m Td = 464 kgf.m TRd2 = 55966 kgf.m
I 45 Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.09 Vd/VRd2 + Td/TRd2 = 0.07 Vd/VRd2 + Td/TRd2 = 0.34
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 25.35 tf Aswmin = 7.18
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1 2
d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 86.20 cm Vc0 = 46.43 tf
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 cm (4 ramos) 5.0 c/ 11 Vc = 46.43 tf Vsw = 40.79 tf Asw = 12.09 cm (4 ramos) 5.0 c/ 6 Vc = 46.43 tf Vsw = 39.38 tf Asw = 11.67 cm (4 ramos) 5.0 c/ 7
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1
d = 36.60 cm Vc0 = 5.63 tf k = 1.00 k = 1.00
2-3 3 4-4 d = 86.20 cm Vc0 = 46.43 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho P14 1 P10 2 490.00 465.00 Apoio 1 e 1o (cm) Larg Barra (cm) 20.00 465.00 30.00 455.00 30.00 4326.82 3 P18 4 50.00 30.00 430.00 20.00 30.00 20.00 2121.00 0.00 0.04 0.00 87.22 0.00 0.00 -0.09 2121.00 0.00 0.00 -3.76 16.44 -41371.12 74.48 -43257.06 2121.00 0.00 2.31 0.00 7.86 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) 1.63 -1240.05 746.00 0.00 1.97 0.00 2.82 7.87 -3492.78 7504.79 1580.43 -0.04 -0.06 1230.24 -2636.24 -0.16 Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 465.00 30.00 915.00 20.00 30.00 20.00 70.00 x 90.00 5 16.0 9.45 70.00 x 90.00 5 16.0 9.45 5 20.0 15.08 5.0 c/ 6 100.00 5.0 c/ 7 100.00 2x9 10.0 20.00 x 40.00 3 8.0 1.20 4 10.0 2.36 5.0 c/ 11 2x9 10.0 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) Resultados As dir Asw min trecho (cm) (cm)
Pilar Trecho P14 1 P10 2 P18 3
Seo (cm)
As Inf (cm)
As Sup (cm) 3 8.0 1.20
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
5.0 c/ 20
0.00 0.01 0.00 0.03 0.00 0.00
0.16
0.06
0.09
Viga V8 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 20.00 cm h = 40.00 cm Md = 2301 kgf.m As = 1.49 cm A's = 0.00 cm yLN = 2.13 cm Fd = 1.63 tf situao: GE Meq = 271 kgf.m As = 1.30 cm A's = 0.00 cm yLN = 2.39 cm As = 1.49 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
fiss = 0.02 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N FlexoMd = 1812 kgf.m As = 1.17 cm A's = 0.00 cm yLN = 1.67 cm
Verificao axial (compresso)Fd = 1.63 tf situao: GE Meq = 271 kgf.m As = 0.97 cm A's = 0.00 cm yLN = 1.93 cm
Verificao axial (trao)
FinalAs = 1.20 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19
1
fiss = 0.01 mm
2
Md = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 Vd = 2.88 tf VRd2 = 31.76 tf Td = 4 kgf.m TRd2 = 2381 kgf.m
I 45
Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.09
Vo
ARMADURA DE CISALHAMENTO
ARMADURA DE
trechos Dados Armad. cisalham esquerda1 1-1 d = 36.60 cm Vc0 = 5.63 tf k = 1.00
TORO Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20
Armad. direita
Dados toro
Armad. de toro
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho P15 1 V4 490.00 470.00 Apoio 1 e 1o (cm) Larg Barra (cm) 20.00 470.00 20.00 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) 2.10 -1812.35 746.00 0.00 1.63 0.00 2.88 1.58 2300.75 0.00 0.00 -0.37 Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 470.00 20.00 20.00 x 40.00 3 8.0 1.49 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) Resultados As dir Asw min trecho (cm) (cm)
Pilar Trecho P15 1 V4
Seo (cm)
As Inf (cm)
As Sup (cm) 3 8.0 1.20
Asw Pele (cm)
Fissura (mm) 0.01
Flecha (cm)
5.0 c/ 20
0.02 0.00
0.37
Viga V9 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 60.00 cm h = 90.00 cm Md = 21607 kgf.m As = 5.86 cm A's = 0.00 cm yLN = 2.80 cm (Mom. mn. engaste) Fd = 1.59 tf situao: PE Meq = 655 kgf.m As = 1.41 cm A's = 0.00 cm yLN = 0.00 cm As = 8.10 cm (416.0 8.04 cm) d = 86.20 cm % armad. = 0.15
retangular 2 2-2 bw = 60.00 cm h = 90.00 cm
Md = 21607 kgf.m As = 5.86 cm A's = 0.00 cm yLN = 2.80 cm (Mom. mn. engaste)
fiss = 0.00 mm As = 8.10 cm (416.0 8.04 cm) d = 86.20 cm % armad. = 0.15
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N1
FlexoMd = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
Verificao axial (compresso)
Verificao axial (trao)
Final
2
Md = 44483 kgf.m As = 12.32 cm A's = 0.00 cm yLN = 5.88 cm
Fd = 1.59 tf situao: PE Meq = 652 kgf.m As = 15.16 cm A's = 0.00 cm yLN = 0.00 cm
As = 15.16 cm (520.0 - 15.71 cm) d = 86.00 cm % armad. = 0.29
fiss = 0.03 mm
3
Md = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 Vd = 15.27 tf VRd2 = 224.43 tf Vd = 89.59 tf VRd2 = 224.43 tf Td = 151 kgf.m TRd2 = 43740 kgf.m Td = 132 kgf.m TRd2 = 43740 kgf.m
I 45 Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.07 Vd/VRd2 + Td/TRd2 = 0.40
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 21.45 tf Aswmin = 6.16 cm (4 ramos) 5.0 c/ 13 Vc = 39.80 tf Vsw = 49.80 tf Asw = 14.76 cm (4 ramos) 5.0 c/ 5 Vc = 39.80 tf Vsw = 48.54 tf Asw = 14.39 cm (4 ramos) 5.0 c/ 5
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1
d = 86.20 cm Vc0 = 39.80 tf k = 1.00
2 2-2
d = 86.20 cm Vc0 = 39.80 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho Apoio 1 e 1o (cm) 455.00 435.00 Larg Barra (cm) 20.00 435.00 20.00 50.00 30.00 30.00 20.00 1896.00 0.00 0.00 -0.01 89.59 0.00 0.00 -0.10 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) Mdmx Md+ (kgf.m) (kgf.m) Md(kgf.m) flecha (cm) -0.04 1896.00 0.00 0.00 -1.33 15.27 -43407.76 75.35 -44482.52 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
1 P19 2
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 435.00 20.00 30.00 20.00 60.00 x 90.00 4 16.0 8.10 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) Resultados As dir Asw min trecho (cm) (cm) 5.0 c/ 13 5 20.0 15.16 5.0 c/ 5 100.00 5.0 c/ 5 100.00 2x7 10.0
Pilar Trecho
Seo (cm) 60.00 x 90.00
As Inf (cm) 4 16.0 8.10
As Sup (cm)
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
1 P19 2
2x7 10.0
0.00 0.03 0.00 0.00
0.04
0.10
Viga V10 Relatrio de Clculofck = 250.00 kgf/cm Cobrimento = 2.50 cm Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m
DIMENSIONAMENTO DA ARMADURA POSITIVA Verificao Verificao Seo Flexo Toro axial axial Final trechos (compresso) (trao) Voretangular 1 1-1 bw = 20.00 cm h = 40.00 cm Md = 1729 kgf.m As = 1.11 cm A's = 0.00 cm yLN = 1.59 cm (Mom. mn. engaste) Fd = 1.54 tf situao: GE Meq = 256 kgf.m As = 0.93 cm A's = 0.00 cm yLN = 1.83 cm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 2 2-2 bw = 20.00 cm h = 40.00 cm
Md = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Fd = 0.40 tf situao: PE Meq = 67 kgf.m As = 1.05 cm A's = 0.00 cm yLN = 0.00 cm
fiss = 0.01 mm As = 1.20 cm (38.0 1.51 cm) d = 36.60 cm % armad. = 0.19
retangular 3 3-3 bw = 30.00 cm h = 60.00 cm
Md = 4802 kgf.m As = 1.99 cm A's = 0.00 cm yLN = 1.90 cm
Fd = 11.77 tf situao: PE Meq = 3120 kgf.m As = 3.09 cm A's = 1.40 cm yLN = 0.00 cm
retangular 4 4-4 bw = 30.00 cm h = 60.00 cm
Md = 4802 kgf.m As = 1.99 cm A's = 0.00 cm yLN = 1.90 cm (Mom. mn. engaste)
fiss = 0.01 mm As = 3.09 cm (410.0 3.14 cm) d = 56.50 cm % armad. = 0.17 1.40 cm (210.0 1.57 cm) fiss = 0.02 mm As = 2.70 cm (410.0 3.14 cm) d = 56.50 cm % armad. = 0.17
fiss = 0.00 mm
DIMENSIONAMENTO DA ARMADURA NEGATIVA N FlexoMd = 1423 kgf.m As = 0.91 cm A's = 0.00 cm yLN = 1.30 cm
Verificao axial (compresso)Fd = 1.54 tf situao: GE Meq = 256 kgf.m As = 0.46 cm A's = 0.00 cm yLN = 1.16 cm Fd = 1.54 tf situao: GE Meq = 254 kgf.m As = 1.62 cm A's = 0.00 cm yLN = 2.83 cm
Verificao axial (trao)
FinalAs = 1.20 cm (38.0 - 1.51 cm) d = 36.60 cm % armad. = 0.19
1
2
Md = 2757 kgf.m As = 1.80 cm A's = 0.00 cm yLN = 2.58 cm
Fd = 0.40 tf situao: PE Meq = 66 kgf.m As = 2.35 cm A's = 0.00 cm yLN = 0.00 cm Fd = 11.77 tf situao: PE Meq = 1943 kgf.m As = 2.58 cm A's = 1.40 cm yLN = 0.00 cm Fd = 11.77 tf situao: PE Meq = 3061 kgf.m As = 14.06 cm A's = 1.40 cm yLN = 0.00 cm
fiss = 0.00 mm As = 2.35 cm (310.0 - 2.36 cm) d = 36.50 cm % armad. = 0.29
3
Md = 1462 kgf.m As = 0.94 cm A's = 0.00 cm yLN = 1.34 cm Md = 23933 kgf.m As = 10.83 cm A's = 0.00 cm yLN = 10.34 cm Md = 0 kgf.m As = 0.00 cm A's = 0.00 cm yLN = 0.00 cm
4
fiss = 0.01 mm As = 2.58 cm (410.0 - 3.14 cm) d = 36.50 cm % armad. = 0.39 210.0 - 1.57 cm) fiss = 0.01 mm As = 14.06 cm (520.0 - 15.71 cm) d = 56.00 cm % armad. = 0.87 210.0 - 1.57 cm) fiss = 0.02 mm
5
DIMENSIONAMENTO DA ARMADURA TRANSVERSAL Modelo de clculo Inclinao bielas Verificao de esforos limites Vo Cisalhamento Toro trechos1 1-1 2 2-2 3 3-3 4 4-4 Vd = 2.89 tf VRd2 = 31.76 tf Vd = 2.66 tf VRd2 = 31.76 tf Vd = 7.82 tf VRd2 = 73.55 tf Vd = 48.20 tf VRd2 = 73.55 tf Td = 3 kgf.m TRd2 = 2381 kgf.m Td = 0 kgf.m TRd2 = 2381 kgf.m Td = 15 kgf.m TRd2 = 8036 kgf.m Td = 240 kgf.m TRd2 = 8036 kgf.m
I 45
Cisalhamento + ToroVd/VRd2 + Td/TRd2 = 0.09 Vd/VRd2 + Td/TRd2 = 0.08 Vd/VRd2 + Td/TRd2 = 0.11 Vd/VRd2 + Td/TRd2 = 0.69
Vo trechos
ARMADURA DE CISALHAMENTO Dados Armad. cisalham esquerda Armad. mnimaVmin = 2.96 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 20 Vmin = 3.95 tf Aswmin = 2.05 cm (2 ramos) 5.0 c/ 15 Vmin = 7.03 tf Aswmin = 3.08 cm (2 ramos) 5.0 c/ 13 Vc = 13.04 tf Vsw = 35.16 tf Asw = 15.90 cm (2 ramos) 8.0 c/ 6 Vc = 13.04 tf Vsw = 34.49 tf Asw = 15.60 cm (2 ramos) 8.0 c/ 6
ARMADURA DE TORO Dados toro Armad. de toro
Armad. direita
1 1-1 2 2-2 3 3-3
d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 36.60 cm Vc0 = 5.63 tf k = 1.00 d = 56.50 cm Vc0 = 13.04 tf k = 1.00
4 4-4
d = 56.50 cm Vc0 = 13.04 tf k = 1.00
Relatrio de Esforosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Carga distribuda Pilar Trecho P16 1 P12 2 P8 3 P20 4 50.00 30.00 455.00 430.00 485.00 455.00 490.00 465.00 Apoio 1 e 1o (cm) Larg Barra (cm) 20.00 465.00 30.00 455.00 30.00 430.00 20.00 30.00 20.00 996.00 0.00 0.00 0.00 48.20 0.00 -0.16 996.00 0.00 0.00 -9.81 7.82 -18290.68 40.16 -23932.72 746.00 0.00 0.00 -0.34 2.66 0.63 3325.57 Perm. (kgf/m) Acid. (kgf/m) Esforo axial Nd (tf) Rd (tf) Vd (tf) Rmx (tf) 1.59 -1015.64 746.00 0.00 1.54 0.00 2.89 4.01 -2257.19 1210.88 -1461.66 -0.15 1310.19 -2757.09 -0.16 Mdmx (kgf.m) Md+ (kgf.m) Md(kgf.m) flecha (cm) Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m Envoltria
Relatrio de Resultadosfck = 250.00 kgf/cm Cobrimento = 2.50 cm Dados Apoio 1 e 1o (cm) 20.00 465.00 30.00 455.00 30.00 430.00 20.00 30.00 20.00 30.00 x 60.00 30.00 x 60.00 20.00 x 40.00 3 8.0 1.20 2 10.0 1.40 4 10.0 3.09 2 10.0 1.40 4 10.0 2.70 4 10.0 2.58 2 10.0 1.40 5 20.0 14.06 8.0 c/ 6 100.00 8.0 c/ 6 100.00 2x6 6.3 5.0 c/ 13 2x6 6.3 20.00 x 40.00 3 8.0 1.20 3 10.0 2.35 5.0 c/ 15 Ecs = 238000 kgf/cm Peso especfico = 2500.00 kgf/m As esq trecho (cm) Resultados As dir Asw min trecho (cm) (cm)
Pilar Trecho P16 1 P12 2 P8 3 P20 4
Seo (cm)
As Inf (cm)
As Sup (cm) 3 8.0 1.20
Asw Pele (cm)
Fissura (mm) 0.00
Flecha (cm)
5.0 c/ 20
0.01 0.01 0.01 0.01 0.02 0.02 0.00 0.00
0.16
0.15
0.04
0.16