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PREDIMENSIONAMIENTO CALCULO DEL PERALTE Luz critica Categoria A 5.2 Categoria B 5.2 Categoria C 4.5
h 0.52 0.47 0.38
h 0.60 0.50 0.40
b1 0.30 0.25 0.20
b2 0.30 0.25 0.20 cumple
A. Tributario 4.00 5.00 4.40
A. Tributario 4.00 5.00 4.40
b3 0.20 0.25 0.22
A
B
0.25
5.50
C
0.25
5.80
V-P (25×50)
3
V-P (25×50) V-S (25×35)
V-S (25×35)
V-S (25×35)
V-P (25×50)
2
V-P (25×50) V-S (25×35)
V-S (25×35)
1
0.25
V-S (25×35)
V-P (25×50)
V-P (25×50)
METRADO DE CARGAS V-P (25×50 cm)
SEGÚN ING. MERCA -
Carga muerta (WD) CARGA MUERTA (WD) Peso propio de losa Piso terminado Tabiqueria Cielo raso P.p. Viga
Peso/m2 300 kg/m2 100 kg/m2 150 kg/m2 0 kg/m2
At 6.35 6.60 6.60 6.60
m m m m
WD = -
Carga viva (WL) CARGA VIVA (WL) Sobre carga según uso
Peso/m2 200 kg/m2
At 6.60 m
WD = -
Peso/m 1905 Kg/m 660 Kg/m 990 Kg/m 0 Kg/m 300 Kg/m 3855 Kg/m
WD = WD = WL =
Peso/m 1320 Kg/m 1320 Kg/m
Carga ultima (Wu) Wu=1.5WD+1.8WL
ACI
Wu=1.4WD+1.7WL
RNE
8158.5 kg/m ###
A.T
A
1.25
7641 kg/m
A.T
2.25
B
A.T
2.25
C
A
B
0.25
5.50
C
0.25
5.80
V-P (25×50)
3
V-P (25×50) V-S (25×35)
V-S (25×35)
V-S (25×35)
V-P (25×50)
2
V-P (25×50) V-S (25×35)
V-S (25×35)
V-S (25×35)
V-P (25×50)
1
0.25
V-P (25×50)
METRADO DE CARGAS V-P (25×35 cm)
SEGÚN ING. MERCA -
Carga muerta (WD) CARGA MUERTA (WD) Peso propio de losa Piso terminado Tabiqueria Cielo raso P.p. Viga
Peso/m2 300 kg/m2 100 kg/m2 150 kg/m2 0 kg/m2
At 2.00 m 2.25 m 2.25 m 2.25 m
WD = -
Carga viva (WL) CARGA VIVA (WL) Sobre carga según uso
Peso/m2 200 kg/m2
At 2.25 m
WD = -
Peso/m 600 Kg/m 225 Kg/m 337.5 Kg/m 0 Kg/m 300 Kg/m 1462.5 Kg/m
WD = WD = WL =
Peso/m 450 Kg/m 450 Kg/m
Carga ultima (Wu) ACI
Wu=1.5WD+1.8WL 3003.8 kg/m ###
RNE
Wu=1.4WD+1.7WL 2812.5 kg/m
D 5.20
0.25
V-P (25×50)
0.40
V-S (25×35)
VIGA PRINCPAL h b
V-S (25×35)
0.50
6.20
V-P (25×50)
0.40
V-S (25×35)
V-S (25×35) 6.20
V-P (25×50)
0.40
SEGÚN ING. MERCADO -
WD = WD =
0.65 0.65
6.60
4.29 Tn/m
WL =
0.2
6.60
1.32 Tn/m
RNE
0.75
Tn/m2
Wu=1.4WD+1.7WL 8.25 Tn/m
Wu=1.4WD+1.7WL kg/m
A.T
1.25
D
A.T
6.60
0.25
D 5.20
0.25
V-P (25×50)
V-S (25×35)
0.30
0.50
V-S (25×35) 4.00
V-P (25×50)
0.30
V-S (25×35)
V-S (25×35) 4.20
V-P (25×50)
0.30
SEGÚN ING. MERCADO -
WD = WD =
0.65 0.65
0.00
0.00 Tn/m
WL =
0.2
0.00
0.00 Tn/m
RNE
0.75
Tn/m2
Wu=1.4WD+1.7WL 0.00 Tn/m
Wu=1.4WD+1.7WL kg/m
VIGA SECUNDARIA h b 0.25
CALCULO DE MOMENTOS Wu= 8158.5 Kg/m
VIGA PRINCIPAL 8.16
ACI M(-)
15.42 Tn-m
26.04
Luz M(-) Factor M (-)
5.50 0.06 A
5.65 0.10 B
Factor M (+) Luz M(+)
0.07 5.50
ACI M(+)
Tn-m
0.06 5.80
1.05
17.63 Tn-m
Tn/m
24.68 Tn-m
13.79
5.50 0.10 C
5.20 0.06 D
1.12
17.15 Tn-m
15.76
ACI
3.31
Luz M(-) Factor M (-)
4.20 0.06
APOYO A
15.42
TRAMO AB
17.63
APOYO B
26.04
TRAMO BC
17.15
APOYO C APOYO D
24.68
15.76
13.79
TRAMO CD TRAMO DE
APOYO E
26.04
TRAMO EF
17.63
APOYO F
15.42
3.00
Tn/m
Tn-m
3.00
4.10 0.11
0.07 4.20 3.78
Tn-m
5.08
4.00 0.06
2
Factor M (+) Luz M(+)
17.15
VIGA SECUNDARIA
5.61
1
ACI M(+)
ACI MOMENTOS POSITIVOS Tn-m
Tn-m
1.12
Tn-m
MOMENTOS NEGATIVOS Tn-m
CALCULO DE MOMENTOS Wu= 3003.8 Kg/m
ACI M(-)
0.07 5.20
5.20 0.06 4
3 0.07 4.00
0.95
Tn-m
3.43
0.07 5.20
0.77
Tn-m
ACI
5.80
Tn-m
ACI
MOMENTOS NEGATIVOS Tn-m
MOMENTOS POSITIVOS Tn-m
APOYO 1 APOYO 2
TRAMO 1-2 TRAMO 2-3
3.31 5.61
3.78 3.43
1.12
APOYO 3
3.00
TRAMO 3-4
5.80
APOYO 4
5.08
TRAMO 4-5
6.32
APOYO 5 APOYO 6
9.59
TRAMO 5-6
6.49
5.68
Tn-m
0.06 5.80
26.04 Tn-m
15.42 Tn-m
5.65 0.10 E
5.50 0.06 F
1.05
17.15 Tn-m
Tn-m
6.32
17.63 Tn-m
9.59
0.06 5.80 Tn-m
0.07 5.50
Tn-m
5.68
5.65 0.10
5.50 0.06
5
6 0.07 5.50
1.05 6.49
Tn-m
Tn-m
VIGAS PRINCIPALES
CALCULO DEL AREA DE ACERO (cm2)
h
b 50
25
F'c = 210 Kg/cm2
a 1
2 3
a 1 2
9 10.08 9.48
Mu=
12.71
cm
As cm2
9
8.30
8.30
7.814
7.814 8.18 7.701
8.18 7.701 8.17
Mu=
15.42
cm
As cm2 10.08 9.48 10.14
Fy = 4200 Kg/cm2 b = base d = Peralte efectivo h = Peralte a = d/5 Ø=
a 1 2
9 17.01 16.01
Mu=
26.04
cm
As cm2
a
17.01 16.01
1
18.62
2
Mu=
24.68
cm
As
9
16.12
16.12
15.17 17.45
15.17
3 4
10.14 9.54 10.14 9.55
9.54 10.14 9.55 10.14
18.62
3 4
17.53 19.01 17.90
15.42 A
17.53 19.01
3
17.90 19.11
4
26.04 B
Mu=
a
2 3 4
9 11.51 10.84 11.78 11.09 11.82 11.12
cm
16.42 17.75 16.70 17.82 24.68 C
17.63
1
17.45 16.42 17.75 16.70
17.15 Mu=
17.63
As cm2
a 1
11.51 10.84 11.78 11.09 11.82 11.12 11.83
2 3 4
cm
9 11.20 10.55 11.42 10.75 11.45 10.78
ACI
17.15
As cm2 1
11.20 10.55 11.42 10.75 11.45 10.78 11.46
2 3 4
ACI
AREAS DE ACERO NEGATIVO cm2
AREAS DE ACERO POSITIVO cm2
APOYO A APOYO B
10.14
11.83
19.11
TRAMO AB TRAMO BC
APOYO C
17.82
TRAMO CD
10.39
APOYO D APOYO E
8.94
11.46
19.11
TRAMO DE TRAMO EF
APOYO E
10.14
CALCULO DEL AREA DE ACERO (cm2)
11.46
11.83
VIGAS SECUNDARIA
h
b 50
a 1
2 3
Mu=
a 1 2 3 4
cm
9 2.16 2.04 1.99 1.87 1.99 1.87
Mu=
12.71
cm
As cm2
9
8.30
8.30
7.814
7.814 8.18 7.701
8.18 7.701 8.17
25
Mu=
3.31
As cm2
a 1
2.16 2.04 1.99 1.87 1.99 1.87 1.99
2 3 4
3.31 1
cm
9 3.66 3.45 3.43 3.23 3.42 3.22
Mu=
5.61
As cm2
2 3 4
Mu=
a
2
9 2.47 2.33
cm
As 1.96 1.85 1.80 1.70 1.80 1.69 1.80
3.00 3 3.43 Mu=
3.78
As cm2 2.47 2.33 2.28
cm
9 1.96 1.85 1.80 1.70 1.80 1.69
5.61 2 3.78
1
a 1
3.66 3.45 3.43 3.23 3.42 3.22 3.42
3.00
a 1 2
9 2.24 2.11
cm
3.43
As cm2 2.24 2.11 2.07
1 2
3 4
2.28 2.15 2.28 2.15
2.15 2.28 2.15 2.28
3 4
2.07 1.95 2.06 1.94
ACI
1.95 2.06 1.94 2.06
3 4 ACI
AREAS DE ACERO NEGATIVO cm2
AREAS DE ACERO POSITIVO cm2
APOYO 1 APOYO 2
1.99
2.28
3.42
TRAMO 1-2 TRAMO 2-3
APOYO 3
1.80
TRAMO 3-4
3.54
APOYO 4 APOYO 5
3.08
TRAMO 4-5 TRAMO 5-6
3.87
APOYO 6
3.46
6.02
2.06
3.98
NCIPALES
ACI
ACI
MOMENTOS NEGATIVO Tn-m
MOMENTOS POSITIVOS Tn-m
APOYO A
15.42
TRAMO AB
17.63
APOYO B APOYO C
26.04
17.15
24.68
TRAMO BC TRAMO CD
APOYO D
13.79
TRAMO DE
17.15
APOYO E APOYO E
26.04
TRAMO EF
17.63
15.76
15.42
F'c = 210 Kg/cm2
210
kg/cm2
Fy = 4200 Kg/cm2 b = base d = Peralte efectivo h = Peralte a = d/5
4200 25 45 50 9 0.9
kg/cm2
a
cm2 1 2
9 9.01 8.477
Mu=
13.79
cm
As cm2 9.01 8.477 8.95
cm cm cm cm
a 1 2
9 17.01 16.01
Mu=
26.04
cm
As cm2 17.01 16.01 18.62
1 2
3 4
8.95 8.422 8.94 8.42
8.422 8.94 8.42 8.94
3 4
18.62 17.53 19.01 17.90
13.79 D
a 9 10.29 9.688 10.38 9.77 10.39 9.78
cm
Mu=
As cm2
SECUNDARIAS
4
17.15
15.76
10.29 9.69 10.38 9.77 10.39 9.78 10.39
3
26.04 E
15.76 Mu=
17.53 19.01 17.90 19.11
a 1 2 3 4
9 11.20 10.55 11.42 10.75 11.45 10.78
cm
17.63 Mu=
17.15
As cm2 11.20 10.55 11.42 10.75 11.45 10.78 11.46
a 1 2 3 4
9 11.51 10.84 11.78 11.09 11.82 11.12
cm
17.63
As cm2 11.51 10.84 11.78 11.09 11.82 11.12 11.83
ACI
ACI
MOMENTOS NEGATIVO Tn-m
MOMENTOS POSITIVOS Tn-m
APOYO 1
3.31
TRAMO 1-2
3.78
APOYO 2
5.61
TRAMO 2-3
3.43
APOYO 3
3.00
TRAMO 3-4
5.80
APOYO 4
5.08
TRAMO 4-5
6.32
APOYO 5
9.59
TRAMO 5-6
6.49
APOYO 6
5.68
F'c = 210 Kg/cm2 Fy = 4200 Kg/cm2
210 4200
kg/cm2
b = base
25
cm
d = Peralte efectivo
45
cm
h = Peralte a = d/5
50 9 0.9
cm
Ø=
Mu=
a
cm2 1 2 3 4
cm
9 3.32 3.12 3.09 2.91 3.08 2.90
kg/cm2
cm
Mu=
5.08
As cm2
a 1
3.32 3.12 3.09 2.91 3.08 2.90 3.08
2 3 4
5.08 4
a 9 3.79 3.57
cm
As cm2 1
6.26 5.90 6.03 5.68 6.02 5.66 6.02
2 3 4
9.59 5
5.80 Mu=
cm
9 6.26 5.90 6.03 5.68 6.02 5.66
9.59
6.32 Mu=
5.80
As cm2 3.79 3.57 3.55
a 1 2
9 4.13 3.88
cm
6.49 Mu=
6.32
As cm2 4.13 3.88 3.88
a 1 2
9 4.24 3.99
cm
6.49
As cm2 4.24 3.99 3.99
3.55 3.34 3.54 3.33
3.34 3.54 3.33 3.54
3 4
3.88 3.65 3.87 3.64
3.65 3.87 3.64 3.87
3 4
3.99 3.76 3.98 3.75
3.76 3.98 3.75 3.98
a 9 10.08 9.483
Mu=
15.42
cm
As cm2 10.08 9.483 10.14
10.14 9.54 10.14 9.55 15.42 F
9.54 10.14 9.55 10.14
Mu=
a 9 3.71 3.49 3.47 3.27 3.46 3.26 5.68 6
cm
5.68
As cm2 3.71 3.49 3.47 3.27 3.46 3.26 3.46
VIGAS PRINCIPALES 100%
97%
Ø
AREAS DE ACERO NEGATIVO cm2 APOYO A APOYO B
10.14
9.84
19.11
18.54
AS(a)=4Ø(5/8'') AS(a)=4Ø(5/8'')+2Ø(3/4'')
APOYO C
17.82
17.28
AS(a)=4Ø(5/8'')+2Ø(3/4'')
APOYO D APOYO E
8.94
8.67
19.11
18.54
AS(a)=4Ø(5/8'') AS(a)=4Ø(5/8'')+2Ø(3/4'')
APOYO F
10.14
9.84
AS(a)=4Ø(5/8'')
AREAS DE ACERO POSITIVO cm2
TRAMO AB
11.83
11.47
AS(a)=4Ø(5/8'')
TRAMO BC
11.46
11.11
AS(a)=4Ø(5/8'')
TRAMO CD TRAMO DE
10.39
10.08
11.46
11.11
AS(a)=4Ø(5/8'') AS(a)=4Ø(5/8'')
TRAMO EF
11.83
11.47
AS(a)=4Ø(5/8'')
VIGAS SECUNDARIAS 100%
97%
Ø
AREAS DE ACERO NEGATIVO cm2 APOYO 1
1.99
1.93
AS(a)=2Ø(5/8'')
APOYO 2 APOYO 3
3.42
3.32
1.80
1.75
AS(a)=5Ø(1/2'') AS(a)=5Ø(1/2'')
APOYO 4
3.08
2.99
AS(a)=2Ø(5/8'')
APOYO 5
6.02
5.84
AS(a)=5Ø(1/2'')
APOYO 6
3.46
3.36
AS(a)=2Ø(5/8'')
AREAS DE ACERO POSITIVO cm2
TRAMO 1-2
2.28
2.21
AS(a)=4Ø(1/2'')
TRAMO 2-3
2.06
2.00
AS(a)=4Ø(1/2'')
TRAMO 3-4
3.54
3.44
AS(a)=4Ø(1/2'')
TRAMO 4-5 TRAMO 5-6
3.87
3.75
3.98
3.86
AS(a)=4Ø(1/2'') AS(a)=4Ø(1/2'')
VIGAS PRINCIPALES
CORTE DE VARILLAS
b1 b2
a1
a2
b4 b5
b3
c1 c2
b6
c3
L1 m
L2 m
0.25
0.25
1.83 1.85 1.38 1.40
1.93 1.95
1.38
0.786
0.25
1.93 1.95
1.45
0.92
1.45
0.967
0.967
5.5
5.8
0.25
0.25
0.25
VIGAS SECUNDARIAS
CORTE DE VARILLAS
a1
b1 b2
b4 b5
c1 c2
a2
b3
b6
c3
L1 m
L2 m
0.30
0.30
1.40 1.40 1.05 1.05
1.33 1.35
1.05
0.6
1.33 1.35
1.00
0.70
1.00
0.667
4.2
0.30
0.30
0.667 4
0.30
0.30
c4 c5
d1 d2
c6
d4 d5
d3
e1
d6
e2
L3 m
L4 m
0.25
0.25
1.73 1.75
1.73 1.75
1.30
1.73 1.30
1.30
0.87
0.25
1.3 0.80
1.30
0.87
0.87
0.743
5.2
5.2
0.25
0.25
c4 c5
d1 d2
0.25
d4 d5
e1
c6
d3
d6
e2
L3 m
L4 m
0.30
0.30
1.33 1.35
1.33 1.35
1.00
1.33 1.30
1.00
0.67
1.00 0.80
1.00
0.67
0.67
4
0.30
0.30
0.571 4
0.30
0.30
Varillas longitudinales
Ø 3/8'' 1/2'' 5/8'' 3/4'' 1'' 1 1/4''
2@5cm- 3@10cm- 4@15cm- res
ngitudinales
Estribos
Ø 8mm 3/8'' 3/8'' 1/2'' 1/2'' 1/2''
m- 3@10cm- 4@15cm- resto @20cm