losa alivianada 2 direcc
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Transcript of losa alivianada 2 direcc
![Page 1: losa alivianada 2 direcc](https://reader030.fdocuments.es/reader030/viewer/2022020718/5447def6b1af9f93228b4a0a/html5/thumbnails/1.jpg)
Diseño de una losa alivianada en una dirección
Datosf`c= 280fy= 4200 4.2b= 10 cm
420 cm
425 cm
420 cm
120 cm 4.25ɣhormigón 2400
4.2
0.15 0.20.4 1.2
Nº= 8h= 15 cmb= 40 cmz= 20 cm 4.2 4.25 4.2 1.2
Pbloque= 10 Kg
Kg/cm²Kg/cm²
L₁=L₂=L₃=L₄=
Kg/m³
Dimensiones del bloque de alivianamiento
1
2
3
4
A DCB
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Área de cálculoCálculo de la altura mínima
P./180 9.44 cmP./180 9.39 cm Adoptamos 1.00P./180 9.33 cm 20.00 cmP./180 6.06 cm
1.00
Cálculo de cargasVolumen Pesos
Vol. Bloque 0.096 P. Hormigón 249.6 KgP.bloque 80.0 Kg
Vol. A. calculo 0.2 P.p de la losa 329.6 KgP. enl + piso 100.0
Vol. Hormigón 0.104 P.pared 150.0 Kg/m²P.total 579.6 Kg/m²
CargasCm= 579.60 Kg/m²Cv= 200.00 Kg/m²W= 1151.44 Kg/m²
mᵌ
mᵌKg/m²
mᵌ
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Cálculo de momentos y fuerzas cortantes
4.20 4.25 4.20 1.20
0.24 0.24 0.24 k=1/L
0.12 0.12 0.12 a=k/2
1692.62 -1692.62 1733.16 -1733.16 1692.62 -1692.62 829.04
θ1 θ2 θ3 θ4 M(-1)θ1 k1 a1 0 0 Mf1θ2 a1 k1+k2 a2 0 Mf´1+Mf2θ3 0 a2 k2+k3 a3 Mf´2+Mf3θ4 0 0 a3 k3 Mf´3+Mf4
θ1 θ2 θ3 θ4 M(-1) θθ1 0.24 0.12 0 0 -1692.62 -8314.21θ2 0.12 0.47 0.12 0 -40.54 2410.44θ3 0 0.12 0.47 0.12 40.54 -1630.56θ4 0 0 0.12 0.24 863.58 4442.31
aθ aθ aθkθ' kθ' kθ'
Mf Mf' Mf Mf' Mf Mf' Mf
286.96 -989.79 -191.83 283.58 528.85 -194.11 0.00-1979.57 573.91 567.16 -383.66 -388.23 1057.69 0.00
Mf=Wl²/12
aθ' aθ' aθ' aθ'kθ kθ kθ kθ
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1692.62 -1692.62 1733.16 -1733.16 1692.62 -1692.62 829.040.00 -2108.49 2108.49 -1833.24 1833.24 -829.04 829.04
0.00 0.00 0.00
2418.02 2418.02 2446.81 2446.81 2418.02 2418.02 1381.73 V.I
-502.02 502.02 64.77 -64.77 239.10 -239.10
1916.00 2920.05 2511.58 2382.04 2657.12 2178.93 1381.73 V.T
Momentos positivos y negativos
0.00 2108.49 1833.24 829.04
1594.12 630.69 1232.61
GRAFICA DE CORTANTE
1916.00 2511.58 2657.12 1381.73
V.H=ΔM/L
M(+)= Viz²/2w-M(-)iz
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2920.05 2382.04 2178.93
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ACERO ESTRUCTURAL EN EL SENTIDO "X"
APOYOS Y TRAMOSA AB B BC C CD D
Ru 0.00 54.67 72.31 21.63 62.87 42.27 28.43ρ 0.0000 0.0150 0.0212 0.0054 0.0177 0.0112 0.0072
ρmin 0.0032 0.0032 0.0032 0.0032 0.0032 0.0032 0.0032As 0.57 cm2 2.70 cm2 3.81 cm2 0.97 cm2 3.19 cm2 2.01 cm2 1.30 cm2
APOYOS Y TRAMOSA AB B BC C CD D
ø= 1.2 cm 1.4 cm 1.6 cm 1.2 cm 1.6 cm 1.6 cm 1.4 cmAv= 1.13 cm2 1.54 cm2 2.01 cm2 1.13 cm2 2.01 cm2 2.01 cm2 1.54 cm2
APOYOS Y TRAMOSA AB B BC C CD D
Var*nervio 1 2 2 1 2 1 1
REVISION POR CORTANTEVu 14.762 Kg
Vc 17.560 Kg
Ф Vc 14.926
RESISTENCIA
ULTIM
ARESIS
TENCIA
ULTIM
A
Diametros
Asusm
idos
Diametros
Asusm
idos
numero de varill
as
numero de varill
as
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Vu<Ф Vc ok
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ACERO ESTRUCTURAL EN EL SENTIDO "Y"
APOYOS Y TRAMOS1 1_2 2 2_3 3 3_4 4
Ru 0.00 54.67 72.31 21.63 62.87 42.27 28.43ρ 0.0000 0.0150 0.0212 0.0054 0.0177 0.0112 0.0072
ρmin 0.0032 0.0032 0.0032 0.0032 0.0032 0.0032 0.0032As 0.57 cm2 2.70 cm2 3.81 cm2 0.97 cm2 3.19 cm2 2.01 cm2 1.30 cm2
APOYOS Y TRAMOS1 1_2 2 2_3 3 3_4 4
ø= 1.2 cm 1.4 cm 1.6 cm 1.2 cm 1.6 cm 1.6 cm 1.4 cmAv= 1.13 cm2 1.54 cm2 2.01 cm2 1.13 cm2 2.01 cm2 2.01 cm2 1.54 cm2
APOYOS Y TRAMOS1 1_2 2 2_3 3 3_4 4
Var*nervio 1 2 2 1 2 1 1
RESISTENCIA
ULTIM
A
Diametros
Asusm
idos
numero de varill
as
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PLANILLA DE HIERRO
Mc ø (mm) TIPO # MASA kg/mLONGITUD (m) Long.T Peso T Observación
a b c d e f
100 14 L 88 1.208 0.17 4.86 5.03 534.50Sobrante para Mc. 106
101 12 I 44 0.888 5.21 5.21 203.57Sobrante para Mc. 103
102 16 J 44 1.578 5.50 0.10 0.10 5.70 395.76Sobrante para marca 104
103 12 C 44 0.888 0.14 1.23 0.14 1.52 59.31Se toma del sobrante de Mc.101
104 16 D 88 1.578 0.10 0.10 2.91 0.10 0.10 3.31 459.64 Se toma del sobrante de Mc. 102
105 16 D 88 1.578 0.10 0.10 2.91 0.10 0.10 3.31 459.64
106 14 C 44 1.208 0.17 2.43 0.17 2.77 147.12Se toma del sobrante de Mc.100
PESO TOTAL 2259.54 Kg
TIPOS:c c c
b d e da e
"D" "C" "I"
c cd d
e
De una varilla se obtiene 3 Mc. Y sobrante para parrillas de zapata
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"J" "L"
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PLANILLA DE HIERRO
Observación
Sobrante para Mc. 106
Sobrante para Mc. 103
Sobrante para marca 104
Se toma del sobrante de Mc.101
Se toma del sobrante de Mc. 102
Se toma del sobrante de Mc.100
De una varilla se obtiene 3 Mc. Y sobrante para parrillas de zapata
![Page 12: losa alivianada 2 direcc](https://reader030.fdocuments.es/reader030/viewer/2022020718/5447def6b1af9f93228b4a0a/html5/thumbnails/12.jpg)
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1 2 3 4 5 68 0.395 0.50 1.01 1.51 2.01 2.51 3.02
10 0.617 0.79 1.57 2.36 3.14 3.93 4.7112 0.888 1.13 2.26 3.39 4.52 5.65 6.7914 1.208 1.54 3.08 4.62 6.16 7.70 9.2416 1.578 2.01 4.02 6.03 8.04 10.05 12.0618 1.998 2.54 5.09 7.63 10.18 12.72 15.2720 2.466 3.14 6.28 9.42 12.57 15.71 18.8522 2.984 3.80 7.60 11.40 15.21 19.01 22.8125 3.853 4.91 9.82 14.73 19.63 24.54 29.4528 4.834 6.16 12.32 18.47 24.63 30.79 36.9532 6.1313 8.04 16.08 24.13 32.17 40.21 48.2536 7.99 10.18 20.36 30.54 40.72 50.89 61.0740 9.865 12.57 25.13 37.70 50.27 62.83 75.40
φNominal mm
MASA kg/m
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7 8 9 103.52 4.02 4.52 5.035.50 6.28 7.07 7.857.92 9.05 10.18 11.31
10.78 12.32 13.85 15.3914.07 16.08 18.10 20.1117.81 20.36 22.90 25.4521.99 25.13 28.27 31.4226.61 30.41 34.21 38.0134.36 39.27 44.18 49.0943.10 49.26 55.42 61.5856.30 64.34 72.38 80.4271.25 81.43 91.61 101.7987.96 100.53 113.10 125.66