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LOSAS
ALIGERADAS
LOSAS
ALIGERADAS
LOSAS
ALIGERADAS
LOSAS ALIGERADAS
LOSAS ALIGERADAS
LOSAS ALIGERADAS
LOSAS ALIGERADAS
VIGUETA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
METRADO DE CARGAS
CARGA MUERTA (D)
p.p: 350 Kg/m2 x 0.40 m
Piso Terminado: 100 Kg/m2 x 0.40 m D = 550 x 0.40 m = 220 Kg/m
Tabiquerรญa: 100 Kg/m2 x 0.40m
METRADO DE CARGAS
CARGA VIVA (L)
s/c: 200 Kg/m2 x 0.40 m = 80 Kg/m
L = 80 Kg/m
METRADOS DE CARGAS
CARGA รšLTIMA
Wu = 1.2 (D) + 1.6 L
Wu = 1.2 (220) + 1.6 (80) = 392 Kg/m
Wu = 0.39 Tn/m
CรLCULO DE MOMENTOS
CรLCULO DE MOMENTOS
CรLCULO DE MOMENTOS
CรLCULO DE รREA DE ACERO
Mn = 1.73 Tn.m
fยดc = 210 Kg /cm2
fy = 4200 Kg/cm2
CรLCULO DE รREA DE ACERO
1ยฐ Asumir โ€œaโ€ = 4.4 cm
2ยฐ Calcular As =
๐‘€๐‘›
๐‘“๐‘ฆ (๐‘‘โˆ’๐‘Ž
2)
As =
1.73โˆ— 105
4200 (22โˆ’4.4
2)
= 2.08 cm2
3ยฐ Verificar โ€œaโ€
a =
๐ด๐‘ โˆ— ๐‘“๐‘ฆ
0.85โˆ—๐‘“ยด๐‘โˆ—๐‘
=
2.08โˆ—4200
0.85โˆ—210โˆ—10
= 4.9 cm
CรLCULO DE รREA DE ACERO
CรLCULO DE รREA DE ACERO
Mn = 1.11 Tn.m
fยดc = 210 Kg /cm2
fy = 4200 Kg/cm2
CรLCULO DE รREA DE ACERO
CรLCULO DE รREA DE ACERO
1ยฐ Asumir โ€œaโ€ = 3.14 cm
2ยฐ Calcular As =
๐‘€๐‘›
๐‘“๐‘ฆ (๐‘‘โˆ’๐‘Ž
2)
As =
1.11โˆ— 105
4200 (22โˆ’3.14
2)
= 1.29 cm2
3ยฐ Verificar โ€œaโ€
a =
๐ด๐‘ โˆ— ๐‘“๐‘ฆ
0.85โˆ—๐‘“ยด๐‘โˆ—๐‘
=
1.29โˆ—4200
0.85โˆ—210โˆ—10
= 3.04 cm
CรLCULO DE รREA DE ACERO
1ยฐ Asumir โ€œaโ€ = 3.14 cm
2ยฐ Calcular As =
๐‘€๐‘›
๐‘“๐‘ฆ (๐‘‘โˆ’๐‘Ž
2)
As =
1.11โˆ— 105
4200 (22โˆ’3.14
2)
= 1.29 cm2
3ยฐ Verificar โ€œaโ€
a =
๐ด๐‘ โˆ— ๐‘“๐‘ฆ
0.85โˆ—๐‘“ยด๐‘โˆ—๐‘
=
1.29โˆ—4200
0.85โˆ—210โˆ—10
= 3.04 cm
CรLCULO DE รREA DE ACERO
CรLCULO DE รREA DE ACERO
1. Asumir โ€œaโ€ = 1.8 cm
2. Calcular As
As=
๐‘€๐‘›
๐น๐‘ฆ (๐‘‘โˆ’
๐‘Ž
2
)
=
0.66 ๐‘ฅ 105
4200 (22โˆ’
1.8
2
)
= 0.74 ๐‘๐‘š2
3. Verificar โ€œaโ€
a =
๐ด๐‘  โˆ— ๐น๐‘ฆ
0.85โˆ— ๐นยด๐‘โˆ— ๐‘
=
0.74 (4200)
0.85 210 (10)
= 1.74 ๐‘๐‘š
CรLCULO DE รREA DE ACERO
CรLCULO DE ACERO MINIMO
Asmรญn =
14
๐น๐‘ฆ
(๐‘ โˆ— ๐‘‘)
Asmรญn =
14
4200
10 22 = 0.73๐‘๐‘š
2
(1โˆ… 3/8")
CรLCULO DE ACERO MรXIMO
๐ถ =
3
8
๐‘‘๐‘ก =
3
8
22 = 8.25
a = ฮฒ1 (c) = 0.85 (8.25) = 7 cm.
As =
0.85 ๐‘“ยด๐‘ โˆ— ๐‘Ž โˆ— ๐‘
๐‘“๐‘ฆ
=
0.85 210 7 (10)
4200
Asmรกx = 2.98 cm2
CรLCULO DE FUERZAS CORTANTES
CรLCULO DE FUERZAS CORTANTES
CรLCULO DE FUERZAS CORTANTES
CรLCULO DE FUERZAS CORTANTES
CรLCULO DE FUERZAS CORTANTES
ACERO DE TEMPERATURA
As = 0.0018 b.t
As = 0.0018 (100 cm) (5cm)
As = 0.90 cm2 (3 ฯ† 1/4โ€)
ฮฆ 1/4" @ 33 cm.
ACERO DE TEMPERATURA
ACERO DE TEMPERATURA
As = 0.0018 b.t
As = 0.0018 (100 cm) (5cm)
As = 0.90 cm2 (3 ฯ† 1/4โ€)
ฮฆ 1/4" @ 33 cm 25 cm. (5 t)
DETALLE DE LOSA ALIGERADA
CORTE PRรCTICO
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA ALIGERADA
LOSA MACIZA
LOSA MACIZA
METRADO DE CARGAS
CARGA MUERTA (D)
P.P. = 1.0 m x 0.15 m x 2400 kg/ m3 = 360 kg/m
PISO TERMINADO = 1.0 m x 100 Kg/m2 = 100 Kg/m
TABIQUERIA = 1.0 m x 100 Kg/m2 = 100 Kg/m
D = 560 Kg/m
CARGA VIVA (L)
S/C : 1.0 m x 200 Kg/m2 L = 200 Kg/m
Metrados de carga muerta (D)
PESO PROPIO: 1 * 0.15 * 2400 = 360 Kg/m
PISO TERMINADO: 1 * 100 = 100 Kg/m
TABIQUERIA: 1 * 100 = 100 Kg/m
560 Kg/m
CARGA VIVA (L)
S/C 1 * 200 = 200 Kg/m
200 Kg/m
Carga รบltima
Wu: 1.2(560) + 1.6(200)
Wu: 992 Kg/m
Wu: 1 tn/m
Wu=1.2D + 1.6L
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
๐‘“โ€ฒ
๐‘ = 210 ๐‘˜๐‘”/๐‘๐‘š2
Mn = 4.44 tn-m
fy = 4200 ๐‘˜๐‘”/๐‘๐‘š2
LOSA MACIZA
Wu: 1 Tn/m
1.-Asumir
2.-Calcular
3.-Verificar
๐‘Ž=2.4 cm
As=
๐‘€๐‘›
๐‘“๐‘ฆ(๐‘‘โˆ’
๐‘Ž
2
) As=
4.44๐‘ฅ105
4200(12โˆ’
2.4
2
)
As=9.79 ๐‘๐‘š2
a =
๐ด๐‘ โˆ—๐‘“๐‘ฆ
0.85โˆ—๐‘“๐‘โˆ—๐‘
a =
9.79โˆ—4200
0.85โˆ—210โˆ—100
a =2.3 ๐‘๐‘š
LOSA MACIZA
โˆ… AS
3 8 0.71
1 2
3 4
5 8
1
1.27
1.98
2.85
5.07
# de varillas=
9.79
1.98
= 5
En 1 m =
100
5
=20 cm
โˆ… 5 8 @20cm
LOSA MACIZA
โˆ… AS
3 8 0.71
1 2
3 4
5 8
1
1.27
1.98
2.85
5.07
# de varillas=
9.79
1.98
= 5
En 1 m =
1
5
=0.20 m
1
9.79
1.98
=
1.98
9.79
=0.20m
LOSA MACIZA
๐‘“โ€ฒ
๐‘ = 210 ๐‘˜๐‘”/๐‘๐‘š2
Mn = 2.86 tn-m
fy = 4200 ๐‘˜๐‘”/๐‘๐‘š2
4.44 2.3
2.86 a
a=
2.86โˆ—2.3
4.44
=1.48cm
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA
LOSA MACIZA

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