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TIPO (1º AO 3º PAV.)
LAJE 1 E LAJE 2
ARMADURA POSITIVA
L1 x = L2 x

L1 x

md = mk x 1,4

mmax = q.l²/8
mmax =

8,24

x

4,74²

=

23,14 KN.m

x
12

4,90²

=

13,87 KN.m

x

2,52²

=

4,27 KN.m

8

mk compatibilização
AB = 0 ; -18 KN/m
BC = 18 ; -10 KN/m
CD = 10 ; 0 KN/m
L2 x
mk = 18
Coef. Ponderação = 1,4

mmax = q.l²/8
mmax =

md = mk x 1,4
md= 18 x 1,4
md = 25,2 KN.m

6,93

md = 25,2 KN.m x 100cm = 2.520 KN.cm
L3 x
kc = bd²/md
kc = 100 x 12² / 2520
kc = 5,71 cm²/KN

mmax = q.l²/8
mmax =

5,38
8

Tabela 1.1
ks = 0,024 cm²/KN
βc = 0,14
AS = ks x md / 12
AS = 0,024 x 2.520 / 12 = 5,04 cm²

Adotado pela tabela = 5,60 cm²
AS >= AS min

AS min = ρmin x bw x h
AS min = (0,15/100) x 100 x 15 = 2,25 cm²

5,04 >=2,25
Adotado AS = 5,04 cm²
FCK = C25
Aço CA-50A = 0,024

7 barras Ø 10,0mm (N1)
6,60 x 7 = 46 barras ---> Lbarras = 9,19m

L3
100cm
L1

L2

2,52
4,74

4,09

LAJE 1 E LAJE 2
ARMADURA POSITIVA
L1y = L2y = md = mk x 1,4 = md = 8,24 x 1,4 x 6,29² = 57,05 KN.m
8
Tabela 1.1
ks = 0,027 cm²/KN
βc = 0,38

md = 5.705 KN.cm

kc = (100 x 12²)/5.705 = 2,52 KN.cm

AS = ks x md /12
AS = 0,027 x 5.705 / 12 = 12,83 cm²
AS >= AS min
AS min = ρmin x bw x h
AS min = (0,15/100) x 100 x 15 = 2,25 cm²

12,83 >= 2,25
Adotado AS = 12,83 cm²
FCK = C25
Aço CA-50A = 0,024

10 barras Ø 12,5mm (N2)
9,19 x 10 = 92 barras ---> Lbarras = 6,54m
LAJE 3
ARMADURA POSITIVA
L3y = md = 14,0 KN.m x 100cm = 1.400 KN.cm
kc = bd²/md
kc = 100 x 9² / 1400
kc = 5,79 cm²/KN

d = 12 - 3= 9cm

Tabela 1.1
ks = 0,024 cm²/KN
βc = 0,14
AS = ks x md / 12
AS = 0,024 x 1.400 / 9 = 3,73 cm²
AS >= AS min
AS min = ρmin x bw x h
AS min = (0,15/100) x 100 x 12 = 1,80 cm²

3,73 >= 1,80
Adotado AS = 3,73 cm²
FCK = C25
Aço CA-50A = 0,024

3 barras Ø 12,5mm (N3)
1,99 x 3 = 6 barras ---> Lbarras = 2,79m
L3x = md = 7,53 KN.m x 100cm = 753 KN.cm
kc = bd²/md
kc = 100 x 9² / 753kc = 10,76 cm²/KN
Tabela 1.1
ks = 0,024 cm²/KN
βc = 0,06
AS = ks x md / 12
AS = 0,024 x 753 / 9 = 2,00 cm²
AS >= AS min
AS min = ρmin x bw x h
AS min = (0,15/100) x 100 x 12 = 1,80 cm²

4 barras Ø 8,0mm (N4)
2,74 x 4 = 11 barras ---> Lbarras = 1,95 m

2,00 >= 1,80
Adotado AS = 2,00 cm²
FCK = C25
Aço CA-50A = 0,024

LAJE 1 E LAJE 2
ARMADURA NEGATIVA
L1 x = L2 x
Comprimento1/4 do vão mais dobra
Laje 1 e 2 = 9,19/4 = 2,30 + 0,12 + 0,12 = 2,54m
7 Barras Ø10,0mm (N5)
6,60 x 7 = 46 barras ---> Lbarras = 2,54m
L1 y = L2 y
Laje 1 e 2 = 6,54/4 = 1,64 + 0,12 + 0,12 = 1,88m
10 Barras Ø12,5mm (N6)
9,19 x 10 = 92 barras ---> Lbarras = 1,88m
L3y
Laje 3 = 2,79/4 = 0,70 + 0,09 + 0,09 = 0,88m
3 Barras Ø12,5mm (N7)
1,99 x 3 = 6 barras ---> Lbarras = 0,88m

L3x
Laje 3 =1,95/4 = 0,49 + 0,09 + 0,09 = 0,67m
4 Barras Ø8,0mm (N8)
2,74 x 4 = 11 barras ---> Lbarras = 0,67m

COBERTURA
LAJE 1 E LAJE 2
ARMADURA POSITIVA
L1 x = L2 x
md = mk x 1,4
md = mk x 1,4
md = 3,25 x 1,4
md = 4,55 KN.m
md = 4,55 KN.m x 100cm = 455 KN.cm
kc = bd²/md
kc = 100 x 2,5² / 455
kc = 1,37 cm²/KN

Tabela 1.1
ks = 0,067 cm²/KN
βc = 0,772
AS = ks x md / 12
AS = 0,067 x 455 /2,5 = 12,19 cm²
AS >= AS min
AS min = ρmin x bw x h
AS min = (0,15/100) x 100 x 5 = 0,75 cm²

5 barras Ø 6,3mm (N9)
6,60 x 5 = 33 barras ---> Lbarras = 9,19m

L1y = L2y = md = mk x 1,4 = md = 3,25x 1,4 x 6,29² = 22,50 KN.m
8
Tabela 1.1
ks = 0,067 cm²/KN
βc = 0,772

12,19 >= 0,75
Adotado AS = 12,19 cm²
FCK = C25
Aço CA-50A = 0,024

md = 2.250KN.cm

kc = (100 x 2,5²)/2.250 =0,28 KN.cm

AS = ks x md / 12
AS = 0,067 x 2.250 / 2,50 = 60,3 cm²
5 barras Ø 6,3 mm (N10)
9,19 x 5 = 46 barras ---> Lbarras = 6,54m

FCK = C25
Aço CA-50A = 0,024

LAJE 3
ARMADURA POSITIVA
L3y = md = mk x 1,4 = md = 3,25x 1,4 x 2,79² = 4,43 KN.m
8
kc = bd²/md
kc = 100 x 2,5² / 443
kc = 1,41 cm²/KN

md = 443KN.cm

Tabela 1.1
ks = 0,067cm²/KN
βc = 0,072
AS = ks x md / 12
AS...
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