Planilla Calculo de Hormigon Armado

PREDIMENSIONAMIENTO VIGAS

N° L (m) h min (cm) bw (cm)

1 3.53 L/16 22 40 202 4.48 L/16 28 45 203 3.53 L/16 22 40 204 4.48 L/16 28 45 205 3.53 L/16 22 40 206 3.53 L/16 22 40 207 4.48 L/16 28 45 208 4.48 L/16 28 45 209 3.53 L/16 22 40 20

10 2.65 L/16 17 40 2011 4.90 L/16 31 50 2012 4.42 L/16 28 40 2013 2.65 L/16 17 35 2014 4.90 L/16 31 50 2015 4.42 L/16 28 40 2016 2.65 L/16 17 30 2017 2.65 L/16 17 30 2018 4.90 L/16 31 50 2019 3.50 L/16 22 40 2020 3.53 L/16 22 40 2021 4.48 L/16 28 45 2022 3.53 L/16 22 40 2023 4.48 L/16 28 45 2024 4.90 L/16 31 50 2025 4.42 L/16 28 40 2026 4.42 L/16 28 50 2027 4.42 L/16 28 40 2028 4.90 L/16 31 50 2029 3.50 L/16 22 40 20

h adoptado(c

m)

LOSA

DATOS LOSA 1 LOSA 2

10 10292 210265 265

24333 1750022083 22083

VIGAS DE BORDE

SUPERIOR V120

V2/1h (cm) 40106667

INFERIOR V320

V4/3h (cm) 40106667

IZQUIERDA V1020

V14h (cm) 40106667

DERECHA V1420

V17h (cm) 50208333

157500 126667106667 151875

6.47 7.244.83 6.885.65 > 2 7.06

(cm) 272 245(cm) 245 190

1.110 1.289(cm) 6.51 < 10 5.66

hL (cm)Lx (cm)Ly (cm)Ix (cm4)Iy (cm4)

bw (cm)

Iv (cm4)

bw (cm)

Iv (cm4)

bw (cm)

Iv (cm4)

bw (cm)

Iv (cm4)

Imvx = (Ivx izq + Ivx der)/2 (cm4)Imvy = (Ivy inf + Ivy sup)/2 (cm4)αx = (Ev.Ivx)/(EL.ILx)

αy = (Ev.Ivy)/(EL.ILy)

αm = (αx+αy)/2

ln mayor = Luz libre mayor

ln menor = Luz libre menor

β = ln mayor/ln menor

hmín

LOSA 2 LOSA 7 LOSA 8

10 11 13210 353 448265 443 350

17500 39154 8202122083 49136 64079

20V6

20V7h (cm) 45 h (cm) 40 h (cm)

151875 10666720

V920

V8h (cm) 45 h (cm) 40 h (cm)151875 106667

20V12

20V16h (cm) 50 h (cm) 40 h (cm)

208333 10666720

V1620

V20h (cm) 30 h (cm) 30 h (cm)45000 45000

75833 75833106667 151875

1.94 0.922.17 2.37

< 2 2.05 > 2 1.65 < 2

423 330333 428

1.270 0.771

< 10 9.81 < 11 8.73 < 13

bw (cm) bw (cm) bw (cm)

Iv (cm4) Iv (cm4) Iv (cm4)







LOSAS DERECHAS PAG 116-libro

LOSA 8 LOSA Long (cm) L/20 (cm) L adopt (cm)

13 3 300 15 15 escalera448 4 300 15 15 escalera350 5 255 12.75 13

82021 6 448 22.4 22 ver64079

2045

1518752045

1518752030

450002040

106667

La denominacion es el local que se encuentra arriba

LOSA 1- Dormitorio

Capa γ (KN/m3) Espesor (m) Peso (KN/m2)

Piso ceramico + Pegamento 21 0.02 0.42

Carpeta de cemento 22 0.02 0.44

H° de Cte 1:3:6 a 8 18 0.07 1.26

Losa estructura H°A° 24 0.1 2.4

Cielorraso suspendido - - 0.9qd= 5.42

LOSA 2- Pasillo


Piso ceramico + Pegamento 21 0.02 0.42

Carpeta de cemento 22 0.02 0.44

H° de Cte 1:3:6 a 8 18 0.07 1.26

Losa estructura H°A° 24 0.1 2.4

Cielorraso suspendido - - 0.9qd= 5.42

LOSA 3- Escalera


Piso ceramico + Pegamento 21 0

Carpeta de cemento 22 0

H° de Cte 1:3:6 a 8 18 0Losa estructura H°A° 24 0Cielorraso suspendido

qd= 0

LOSA 4- EscaleraCapa γ (KN/m3) Espesor (m) Peso (KN/m2)

Piso ceramico + Pegamento 21 0Carpeta de cemento 22 0H° de Cte 1:3:6 a 8 18 0Losa estructura H°A° 24 0Cielorraso suspendido

qd= 0

LOSA 5- Baño (abajo cocina)Capa γ (KN/m3) Espesor (m) Peso (KN/m2)

Piso ceramico + Pegamento 21 0.02 0.42Carpeta de cemento 22 0.03 0.66Aislante hidraulico - 0.01 0.04Alisado de cemento 22 0.01 0.22H° de Cte 1:3:6 a 8 18 0.07 1.26Losa estructura H°A° 24 0.13 3.12Cielorraso suspendido - - 0.9

qd= 6.62

LOSA 6- EstarCapa γ (KN/m3) Espesor (m) Peso (KN/m2)

Piso ceramico + Pegamento 21 0.02 0.42Carpeta de cemento 22 0.02 0.44H° de Cte 1:3:6 a 8 18 0.07 1.26Losa estructura H°A° 24 0.22 5.28Cielorraso suspendido - - 0.9

qd= 8.3

LOSA 7- DormitorioCapa γ (KN/m3) Espesor (m) Peso (KN/m2)


qd= 5.66

LOSA 8- DormitorioCapa γ (KN/m3) Espesor (m) Peso (KN/m2)


qd= 6.14

LOSA 9- Losa alivianadaCapa γ (KN/m3) Espesor (m) Peso (KN/m2)

Piso ceramico + Pegamento 22 0.02 0.44Carpeta de cemento 21 0.02 0.42Contrapiso H° 16 0.08 1.28Cielorraso suspendido - - 0.45

qd= 2.59

CARGAS MUERTAS - PAREDESLOSA PARED LOSA

Nº γ Espesor Largo Alto Peso(m) (m) (m) (kN) (m)

2 10.5 0.15 0.78 3.13 3.85 2.15 10.5 0.15 1.2 3.13 5.92 2.537 10.5 0.15 0.85 3.13 4.19 3.538 10.5 0.15 0.85 3.13 4.19 4.48

CARGAS MUERTAS LOSAS

LOSA N° qd (KN/m2)1 5.422 5.423 0 ESCALERA4 0 ESCALERA5 6.626 8.37 5.668 6.14

Lx

(kN/m3)

CARGAS MUERTAS - PAREDES

LOSAÁrea % de

(m) mayoración2.65 5.57 0.69 10.00 0.76 0.762.55 6.45 0.92 10.00 1.01 1.014.43 15.64 0.27 10.00 0.29 0.293.5 15.68 0.27 10.00 0.29 0.29

Ly qD mamp* qD mamp qD mamp T

(m2) (kN/m2) (kN/m2) (kN/m2)

U=1,4D+1,7L

LOSAS MACIZAS

CARGAS MAYORADAS (U)

LOSA

Nº Losa Paredes Total (m) (m)

1 5.42 0.00 5.42 2 7.59 3.40 10.99 2.92 2.65

2 5.42 0.76 6.18 2 8.65 3.40 12.05 2.1 2.65

3 0.00 0.00 0.00 2 0.00 3.40 3.40 3 1.284 0.00 0.00 0.00 2 0.00 3.40 3.40 3 1.385 6.62 1.01 7.63 2 10.68 3.40 14.08 3.53 2.556 8.30 0.00 8.30 2 11.62 3.40 15.02 4.48 4.907 5.66 0.29 5.95 2 8.34 3.40 11.74 3.53 4.438 6.14 0.29 6.43 2 9.01 3.4 12.41 4.48 3.50

CARGAS MUERTAS (U)

LOSA


1 5.42 0.00 5.42 2 7.59 2.92 2.652 5.42 0.76 6.18 2 8.65 2.1 2.653 0.00 0.00 0.00 2 0.00 3 1.284 0.00 0.00 0.00 2 0.00 3 1.385 6.62 1.01 7.63 2 10.68 3.53 2.556 8.30 0.00 8.30 2 11.62 4.48 4.907 5.66 0.29 5.95 2 8.34 3.53 4.438 6.14 0.29 6.43 2 9.01 4.48 3.50

CARGAS VIVAS (U)

LOSA


1 5.42 0.00 5.42 2 3.40 2.92 2.652 5.42 0.76 6.18 2 3.40 2.1 2.653 0.00 0.00 0.00 2 3.40 3 1.284 0.00 0.00 0.00 2 3.40 3 1.385 6.62 1.01 7.63 2 3.40 3.53 2.55

qD (kN/m2) qL quD quL qU Lx Ly

(kN/m2) (kN/m2) (kN/m2) (kN/m2)

qD (kN/m2) qL quD Lx Ly

(kN/m2) (kN/m2)

qD (KN/m2) qL quL Lx Ly

(kN/m2) (kN/m2)

6 8.30 0.00 8.30 2 3.40 4.48 4.907 5.66 0.29 5.95 2 3.40 3.53 4.438 6.14 0.29 6.43 2 3.40 4.48 3.50

CARGAS MUERTAS MAMPOSTERÍA (U)

LOSA

Nº (m) (m)

1 0.00 2.92 2.652 0.76 2.1 2.653 0.00 3 1.284 0.00 3 1.385 1.01 3.53 2.556 0.00 4.48 4.907 0.29 3.53 4.438 0.29 4.48 3.50

qDmamp Lx Ly

(kN/m2)


Tipo de Tabla Tablaα β χ ρ

Momentos Flectores (kNm/m)

apoyo para α y β para χ y ρ Tramo

0.91 2 95 90 0.04040 0.05900 0.63160 0.36840 2.61 4.551.26 2 95 90 0.05290 0.01560 0.86300 0.13700 2.81 1.32

- Derecha - - - - - - 3.82 0.00- Derecha - - - - - - 3.82 0.00- Derecha - - - - - - 0.00 11.44- Derecha - - - - - - 37.68 0.00

0.80 1 95 89 0.0295 0.0719 0.2906 0.7094 4.31 16.560.78 1 95 89 0.0275 0.0275 0.2702 0.7298 6.85 4.18

CARGAS MUERTAS (U)




0.91 2 95 90 0.04040 0.05900 0.63160 0.36840 2.61 3.141.26 2 95 90 0.05290 0.01560 0.86300 0.13700 2.02 0.95


0.80 1 95 89 0.02950 0.07190 0.29060 0.70940 3.06 11.760.78 1 95 89 0.02750 0.02750 0.27020 0.72980 4.97 3.03

CARGAS VIVAS (U)




0.91 2 95 90 0.04040 0.05900 0.63160 0.36840 1.17 1.411.26 2 95 90 0.05290 0.01560 0.86300 0.13700 0.79 0.37

- Derecha - - - - - - 3.82 0.00- Derecha - - - - - - 3.82 0.00- Derecha - - - - - - 0.00 2.76

ε = Ly/Lx

ε´ = Lx/Ly

Mux Muy

ε = Ly/Lx

ε´ = Lx/Ly

Mux Muy

ε = Ly/Lx

ε´ = Lx/Ly

Mux Muy

- Derecha - - - - - - 8.53 0.000.80 1 95 89 0.02950 0.07190 0.29060 0.70940 1.25 4.800.78 1 95 89 0.02750 0.02750 0.27020 0.72980 1.88 1.15





0.91 2 95 90 0.04040 0.05900 0.63160 0.36840 0.00 0.001.26 2 95 90 0.05290 0.01560 0.86300 0.13700 0.18 0.08


0.80 1 95 89 0.02950 0.07190 0.29060 0.70940 0.11 0.420.78 1 95 89 0.02750 0.02750 0.27020 0.72980 0.16 0.10

ε = Ly/Lx

ε´ = Lx/Ly

Mux Muy


Momentos Flectores (kNm/m) Reacciones (kN/m)

Apoyos

izq der inf sup

0.00 6.57 0.00 0.00 7.88 22.51 5.36 5.36

6.57 0.00 0.00 0.00 14.05 7.79 2.19 2.19

0.00 0.00 0.00 0.00 5.10 5.10 0.00 0.000.00 0.00 0.00 0.00 5.10 5.10 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 17.95 17.95

0.00 0.00 0.00 0.00 33.64 33.64 0.00 0.000.00 0.00 0.00 0.00 6.02 6.02 18.44 18.440.00 0.00 0.00 0.00 7.51 7.51 15.85 15.85

CARGAS MUERTAS (U)


Apoyos

izq der inf sup0.00 4.61 0.00 0.00 5.42 15.57 3.70 3.70

4.61 0.00 0.00 0.00 10.04 5.64 1.57 1.57

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 13.62 13.62

0.00 0.00 0.00 0.00 26.03 26.03 0.00 0.000.00 0.00 0.00 0.00 4.28 4.28 13.10 13.10

0.000 0.00 0.000 0.00 5.45 5.45 11.50 11.50

CARGAS VIVAS (U)


Apoyos

izq der inf sup0.00 1.95 0.00 0.00 2.47 6.94 1.66 1.66

1.95 0.00 0.00 0.00 4.01 2.15 0.62 0.62

0.00 0.00 0.00 0.00 5.10 5.10 0.00 0.000.00 0.00 0.00 0.00 5.10 5.10 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 4.34 4.34

Vxu Vyu

Xu izq Xu der Yu inf Yu sup

Vxu,o Vyu,o


Vxu,o Vyu,o


0.00 0.00 0.00 0.00 7.62 7.62 0.00 0.000.00 0.00 0.00 0.00 1.74 1.74 5.34 5.34

0.000 0.00 0.000 0.00 2.06 2.06 4.34 4.34



Apoyos

izq der inf sup0.00 0.18 0.00 0.00 -0.06 0.06 0.00 0.00

0.18 0.00 0.00 0.00 0.77 0.60 0.14 0.14

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00 1.29 1.29

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.15 0.15 0.46 0.46

0.000 0.00 0.000 0.00 0.18 0.18 0.38 0.38

Vxu,o Vyu,o


LOSAS ALIVIANADAS (HACER)

VER 1 Luz de Denominación2 LOSA (Vigueta

escalera 3 Nº (m) (m) (m) Tensolite)escalera 4

5 9 8 2.65 2.65 SERIE ASTER6 10 3.53 7.12 3.53 SERIE A27 11 4.48 8.47 4.48 SERIE B28

12345678

Lx Ly cálculo Lc

H Capa de Espesor MomentoBov. Compresión de Losa Admisible Losa

Total(cm) (cm) (cm) (kNm/m)

13 4 17 5.44 2.59 2.33 4.92 117 3 20 10.38 2.59 2.47 5.06 117 4 21 16.52 2.59 2.69 5.28 1

peso propio

133 2.114 2.335 2.55

173 2.474 2.695 2.91

qD (kN/m2)

qL

qD1 qD2(estructura)(kN/m2)

Momentos Flectores (kNm/m) Reacciones (KN/m)Tramo

inf sup izq der inf sup izq der inf8.59 0 7.54 9.13 9.13 0.00 0.00 2.25 2.25 0.00 0.00 11.388.78 13.68 0.00 0.00 0.00 12.50 12.50 0.00 0.00 3.00 3.00 0.009.09 22.81 0.00 0.00 0.00 16.56 16.56 0.00 0.00 3.81 3.81 0.00

long cal 2.65

max admqd qd t ql qt mmax aster a2 b2

2.59 4.7 1 5.7 500.4 482 669 9592.59 4.92 1 5.92 519.7 544 754 10822.59 5.14 1 6.14 539 608 843 12102.59 5.06 1 6.06 532 749 1038 14882.59 5.28 1 6.28 551.3 831 1152 16522.59 5.5 1 6.5 570.6 912 1265 1813

qU Du Lu Du+Lu

(kN/m2) Mux MuyVyu,o Vyu,o Vyu,o Vyu,o

Reacciones (KN/m)

sup izq der11.38 0.00 0.000.00 15.50 15.500.00 20.37 20.37

Du+Lu

Vyu,o Vyu,o

LOSA 1Tramo Apoyos

X YMomentos Flectores (kNm/m) 2.61 4.55 6.57

Momentos Nominales (kNm/m) 2.90 5.06 7.29h (cm) 10.00d (cm) 6.50 7.50 6.50

1.206 1.055 0.76124.317 25.532 25.145

1.09 1.72 2.82Arm. Repart. 0.56Arm. Retr. y Temp. 1.8

1.87 1.87 2.94Diámetro Adoptado (mm) 6 6 8

Separación Adoptada (cm) 15 15 17

Separación máxima (cm)2,5 h 25 25 25

15 15 2030 cm 30 30 30

Se adopta:

X 1ϕ6 c/ 30cm Derecha1ϕ6 c/ 30cm Caballete 45º

Y 1ϕ6 c/ 30cm Derecha1ϕ6 c/ 30cm Caballete 45º

Apoyo X

LOSA 2Tramo Apoyos

X YMomentos Flectores (kNm/m) 2.81 1.32 6.57

Momentos Nominales (kNm/m) 3.12 1.47 7.29h (cm) 10.00d (cm) 6.50 7.50 6.50

1.163 1.958 0.76124.379 24.301 25.145

1.17 0.48 2.82Armadura de Repartición 0.56Armadura por Retracción y Temperatura 1.8

1.87 1.87 2.94Diámetro Adoptado (mm) 6 6 8

Separación Adoptada (cm) 15 15 17

Separación máxima (cm)2,5 h 25 25 25

15 15 2030 cm 30 30 30

Se adopta:

X 1ϕ6 c/ 30cm Derecha

Xder

kd

ke

Sección Necesaria (cm2/m)

Sección Adoptada (cm2/m)

25 dbarra

Xizq

kd

ke



25 dbarra

Se adopta:

X1ϕ6 c/ 30cm Caballete 45º


Apoyo X

LOSA 3Tramo

X YMomentos Flectores (kNm/m) 15.11 -Momentos Nominales (kNm/m) 16.79 -h (cm) 14.00d (cm) 11.50 -

0.888 -24.772 -

3.62 -Armadura de Repartición 0.72Armadura por Retracción y Temperatura 2.52

3.72 2.65Diámetro Adoptado (mm) 8 8

Separación Adoptada (cm) 13.5 19.5

Separación máxima (cm)2,5 h 35 35

20 2030 cm 30 30

Se adopta:



LOSA 4Tramo

X YMomentos Flectores (kNm/m) 15.11 -Momentos Nominales (kNm/m) 16.79 -h (cm) 14.00d (cm) 11.50 -

0.888 -24.772 -

3.62 -Arm. Repart. 0.72Arm. Retr. y Temp. 2.52


kd

ke



25 dbarra

kd

ke



Separación Adoptada (cm) 13.5 19.5


20 2030 cm 30 30

Se adopta:



LOSA 5Tramo

X YMomentos Flectores (kNm/m) - 11.44Momentos Nominales (kNm/m) - 12.72h (cm) 13.00d (cm) - 10.50

- 0.931- 24.708- 2.99

Armadura de Repartición 0.60Armadura por Retracción y Temperatura 2.34

2.38 3.13 armadura de reparticionDiámetro Adoptado (mm) 8 8 30 cm Separación Adoptada (cm) 21 16 3 h

Separación máxima (cm)2,5 h 32.5 32.5

20 2030 cm 30 30

Se adopta:



LOSA 6Tramo

X YMomentos Flectores (kNm/m) 37.68 -Momentos Nominales (kNm/m) 41.87 -h (cm) 22.00 -d (cm) 19.50 -

0.953 -24.677 -

5.30 -

25 dbarra

kd

ke



25 dbarra

kd

ke


Arm. Repart. 1.06Arm. Retr. y Temp. 3.96


Separación Adoptada (cm) 21 19


30 2530 cm 30 30

Se adopta:



LOSA 7Tramo

X YMomentos Flectores (kNm/m) 4.31 16.56Momentos Nominales (kNm/m) 4.79 18.40h (cm) 11.00d (cm) 7.50 8.50

1.083 0.62724.492 25.931

1.57 5.61Arm. Repart. 1.12Arm. Retr. y Temp. 1.98




15 2530 cm 30 30

Se adopta:



LOSA 8Tramo

X YMomentos Flectores (kNm/m) 6.85 4.18Momentos Nominales (kNm/m) 7.61 4.64h (cm) 13.00d (cm) 10.50 9.50


25 dbarra

kd

ke



25 dbarra

1.204 1.39424.321 24.301

1.76 1.19Arm. Repart. 0.24Arm. Retr. y Temp. 2.34




20 2030 cm 30 30

Se adopta:


Y 1ϕ8 c/ 40cm Derecha

1ϕ8 c/ 40cm Caballete 45º

kd

ke



25 dbarra

kd1 kd2 kd ke1 ke2 ke

1.218 0.890 1.204 24.301 24.766 24.321

0.890 0.749 0.888 24.766 25.207 24.772

0.749 0.668 0.761 25.207 25.625 25.145

0.668 0.615 0.627 25.625 26.021 25.931

0.615 0.577 26.021 26.399 32.139

0.577 0.548 26.399 26.758 33.542

0.548 0.525 26.758 27.100 34.907

0.525 0.507 27.100 27.427 36.637

0.507 0.492 27.427 27.739 37.973

0.492 0.479 27.739 28.038 39.055

0.479 0.469 28.038 28.324 41.737

escalera hacer

escalera hacer

armadura de reparticion

TRAMO INCLINADOCapa Espesor (m) Peso (KN/m2) quPiso completo - - 0.9 13.732Escalon 24 0,18/2 2.16Revestimiento Vertical 22 0,14x0,015/0,25 0.18Losa H°A°} 24 0,14/cos32,75° 4.14

qd 7.38qL 2

TRAMO HORIZONTAL quCapa Espesor (m) Peso (KN/m2) 12.388Piso completo - - 0.9Escalon 24 0,18/2 2.16Losa H°A° 24 0.14 3.36

qd 6.42qL 2

g (KN/m3)

g (KN/m3)

Nº VIGAVIGAS LOSAS PAREDES

h e(cm) (cm) (kN/m) (kN/m) (kN/m) (kN/m) (m)

1 40 20 2.693.70 1.66 5.36

0.151.57 0.62 2.19

2 45 20 3.02 1.57 0.62 2.19 0.15

3 40 20 2.693.70 1.66 5.36

0.151.57 0.62 2.19

4 45 20 3.02 1.57 0.62 2.19 0.15

5 40 20 2.69 13.62 4.34 17.95 0.15

6 40 20 2.69 13.62 4.34 17.95 0.15

7 45 20 3.02 11.50 4.34 15.85 0.15

8 45 20 3.02 11.50 4.34 15.85 0.15

9 40 20 2.69 13.10 5.34 18.44 0.15

10 40 20 2.69 5.42 2.47 7.88 0.30

11 50 20 3.36 - - - 0.30

12 40 20 2.69 4.28 1.74 6.02 0.30

13 35 20 2.3515.57 6.94 22.51

0.1510.04 4.01 14.05

14 50 20 3.36 26.03 7.62 33.64 0.15

15 40 20 2.69 5.45 2.06 7.51 0.15

16 30 20 2.025.64 2.15 7.79

-15.27 5.10 20.37

17 30 20 2.0214.38 5.10 19.48

0.3014.38 5.10 19.48

18 50 20 3.36 26.03 7.62 33.64 0.30

19 40 20 2.69 5.45 2.06 7.51 0.30

20 40 20 2.69 9.13 2.25 11.38 0.15

21 45 20 3.02 9.13 2.25 11.38 0.15

22 40 20 2.69 9.13 2.25 11.38 -

23 45 20 3.02 9.13 2.25 11.38 -

24 50 20 3.36 12.50 3.00 15.50 0.30

25 40 20 2.69 12.50 3.00 15.50 0.30

26 50 20 3.3612.50 3.00 15.50

-16.56 3.81 20.37

27 40 20 2.6912.50 3.00 15.50

-16.56 3.81 20.37

28 50 20 3.36 16.56 3.81 20.37 0.30

29 40 20 2.69 16.56 3.81 20.37 0.30

bw qu viga quD losa quL losa qu losa

PAREDESh γ Donde está la h se sumaron 20cm de pared para tener en cuenta el cordón lateral de 30x20cm

(m) (kN/m) (kN/m)

3.13 10.50 4.93 6.90VIGA 1

3.13 10.50 4.93 6.90 L 3.53

3.13 10.50 4.93 6.90qu viga 2.69qu pared 6.90

3.13 10.50 4.93 6.90 LOSALOSA 1 LOSA 2

3.13 10.50 4.93 6.90 Carga (KN/m) L(m) Carga (KN/m) L(m)3.13 10.50 4.93 6.90 qud 3.70 2.92 1.57 0.613.13 10.50 4.93 6.90 qul 1.66 2.92 0.62 0.613.13 10.50 4.93 6.90 qu 5.36 2.92 2.19 0.613.13 10.50 4.93 6.90

3.13 18.00 16.90 23.66

3.13 18.00 16.90 23.66 VIGA 133.13 18.00 16.90 23.66 L 2.65

3.13 10.50 4.93 6.90qu viga 2.35qu pared 6.90

3.13 10.50 4.93 6.90LOSA

LOSA 1 LOSA 23.13 10.50 4.93 6.90 Carga (KN/m) L(m) Carga (KN/m) L(m)

- - 0.00 0.00qud 15.57 2.65 10.04 2.65qul 6.94 2.65 4.01 2.65

3.13 18.00 16.90 23.66qu 22.51 2.65 14.05 2.65

3.13 18.00 16.90 23.66

3.13 18.00 16.90 23.66

0.30 10.50 0.47 0.66

0.30 10.50 0.47 0.66

- - 0.00 0.00

- - 0.00 0.00

0.30 18.00 1.62 2.27

0.30 18.00 1.62 2.27

- - 0.00 0.00

- - 0.00 0.00

0.30 18.00 1.62 2.27

0.30 18.00 1.62 2.27

qpared qu pared

(kN/m3)

Donde está la h se sumaron 20cm de pared para tener en cuenta el cordón lateral de 30x20cm

VIGA 1

promedio total3.34 12.921.48 1.484.81 14.40

VIGA 13

promedio total25.61 34.8610.95 10.9536.56 45.81

kd1 kd2VIGA 1 1.218 0.890

Longitud (m) 3.53 0.890 0.749h (cm) 40 0.749 0.668

20 0.668 0.615r (cm) 2 0.615 0.577

0.6 ver 0.577 0.548d (cm) 36.5 0.548 0.525

- 0.525 0.50736.54 0.507 0.49275.03 0.492 0.47944.65 0.479 0.46949.61

0.73325.290

3.442.434.27

ϕ y Nº Barras 2ϕ12 + 1ϕ16 ϕ (cm) 1.2 1.6

n 2 1s (cm) 5.4 > 2 cm

VIGA 2

Longitud (m) 4.48h (cm) 45

20r (cm) 2

0.6d (cm) 41.5

-50.0435.1460.7967.54

0.71425.388

4.132.771.86


n 1 2s (cm) 6.1 > 2 cm

bw (cm)

ϕe (cm)

qu (kN/m)Vux izq (kN)

Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

VIGA 3


20r (cm) 2

0.6d (cm) 36.5

-36.5475.0360.7967.54

0.62825.924

4.802.431.86


n 1 2s (cm) 6.1 > 2 cm

VIGA 4


20r (cm) 2

0.6d (cm) 41.5

-46.59

33.44

55.6961.88

0.74625.222

3.762.777.16

ϕ y Nº Barras 2ϕ16 +1ϕ20 ϕ (cm) 1.6 2.0

n 2 1s (cm) 4.8 > 2 cm

VIGA 5


bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)

qu (kN/m)Vuy izq (kN)

Vuy der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

20r (cm) 2

0.6d (cm) 36.5

27.5448.61

48.61

42.9047.67

0.74825.212

3.292.438.29


n 1 2s (cm) 4.6 > 2 cm

VIGA 6


20r (cm) 2

0.6d (cm) 36.5

45.9881.16

81.16

71.6279.58

0.57926.379

5.752.43

14.73

ϕ y Nº Barras 3ϕ25 ϕ (cm) 2.5

n 3s (cm) 3.7 > 2 cm

VIGA 7


20r (cm) 2

0.6

bw (cm)

ϕe (cm)

qu (kN/m)Vuy inf (kN)

Vuy sup (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)

d (cm) 41.525.7757.7357.7364.6671.84

0.69225.501

4.412.773.59

ϕ y Nº Barras 2ϕ10 + 1ϕ16ϕ (cm) 1.0 1.6

n 2 1s (cm) 5.6 > 2 cm

VIGA 8


20r (cm) 2

0.6d (cm) 41.5

25.7757.7357.7364.6671.84

0.69225.501

4.412.777.86


n 2 2s (cm) 2.9 > 2 cm

VIGA 9


20r (cm) 2

0.6d (cm) 36.5

28.0349.48


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


49.4843.6648.51

0.74125.248

3.362.433.39

ϕ y Nº Barras 3ϕ12ϕ (cm) 1.2

n 3s (cm) 5.6 > 2 cm

VIGA 10


20r (cm) 2

0.6d (cm) 36.5

34.2345.3645.3630.0533.39

0.89324.762

2.272.434.52


n 1 2s (cm) 5.4 > 2 cm

VIGA 11


20r (cm) 2

0.6d (cm) 46.5

-89.5191.50

140.41156.01

Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vuy sup (kN)

Mu máx (kNm)

Mn (kNm)

0.52627.085

9.093.104.72


n 2 1s (cm) 5.4 > 2 cm

VIGA 12


20r (cm) 2

0.6d (cm) 36.5

-90.3452.73

TRAMO42.9447.71

0.74725.219

3.302.434.27


n 2 1s (cm) 5.4 > 2 cm

APOYO13.7015.22

0.17424.938

8.890.364.27


n 2 1s (cm) 4.9 > 2 cm

VIGA 13


kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vuy sup (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

20r (cm) 2

0.6d (cm) 31.5

45.8160.7060.7040.2144.68

0.66625.640

3.642.103.39


n 3s (cm) 5.6 > 2 cm

VIGA 14


20r (cm) 2

0.6d (cm) 46.5

-130.97132.95191.10212.33

0.451 es mas chico24.59011.233.101.50


n 3s (cm) 6.2 > 2 cm

VIGA 15


20r (cm) 2

0.6

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)

d (cm) 36.5-

56.6538.54

TRAMO

32.1535.72

0.86424.847

2.432.439.42


n 3s (cm) 4.4 > 2 cm

APOYO

6.607.33

0.54826.758

2.080.789.42


n 3s (cm) 4.6 > 2 cm

VIGA 16


20r (cm) 2

0.6d (cm) 26.5

-32.3537.5023.3025.89

0.73725.269

2.471.775.40



Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

ϕ y Nº Barras 2ϕ12 + 1ϕ20n 2 1

s (cm) 5.2 > 2 cm

VIGA 17


20r (cm) 2

0.6d (cm) 26.5

45.1659.8459.8439.6444.05

0.56526.548

4.411.775.15


n 1 2s (cm) 5.2 > 2 cm

VIGA 18


20r (cm) 2

0.6d (cm) 46.5

60.67148.64148.64182.08202.31

0.462 ES MAS CHICO24.90010.833.102.57


n 2 1s (cm) 6.0 > 2 cm

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

VIGA 19


20r (cm) 2

0.6d (cm) 36.5

33.8659.2659.2651.8557.61

0.68025.563

4.032.435.15


n 1 2s (cm) 5.2 > 2 cm

VIGA 20


20r (cm) 2

0.6d (cm) 36.5

14.7326.0026.0022.9425.49

1.02224.579

1.722.432.71


n 2 1s (cm) 5.8 > 2 cm

VIGA 21

Longitud (m) 4.48

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

h (cm) 4520

r (cm) 20.6

d (cm) 41.515.0633.7433.7437.7941.99

0.90624.743

2.502.771.50


n 3s (cm) 6.2 > 2 cm

VIGA 22


20r (cm) 2

0.6d (cm) 36.5

14.0724.8324.8321.9124.35

1.04624.545

1.642.433.05


n 1 2s (cm) 5.7 > 2 cm

VIGA 23


20r (cm) 2

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

0.6d (cm) 41.5

14.4032.2632.2636.1340.15

0.92624.715

2.392.776.03


n 3s (cm) 5.0 > 2 cm

VIGA 24


20r (cm) 2

0.6d (cm) 46.5

-66.3549.38

100.49111.66

0.62225.969

6.243.102.54


n 1 2s (cm) 5.9 > 2 cm

VIGA 25


20r (cm) 2

0.6d (cm) 36.5

-

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)

qu (kN/m)

57.1033.33

TRAMO

27.1430.16

0.94024.695

2.042.433.95


n 2 3s (cm) 2.5 > 2 cm

APOYO

8.669.62

0.200 ES MAS CHICO25.517

6.220.333.95


n 2 3s (cm) 2.7 > 2 cm

VIGA 26


20r (cm) 2

0.6d (cm) 46.5

-110.6993.72

154.76171.96

0.50127.53610.183.103.01


n 2 1s (cm) 5.8 > 2 cm

Vux izq (kN)

Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

VIGA 27


20r (cm) 2

0.6d (cm) 36.5

-88.2866.37

TRAMO

56.1362.37

0.65425.697

4.392.437.07


n 1 2s (cm) 4.9 > 2 cm

APOYO

7.988.87

0.381 ES MAS CHICO26.907

3.370.617.07


n 1 2s (cm) 3.5 > 2 cm

VIGA 28


20r (cm) 2

0.6d (cm) 46.5

25.9963.6963.6978.0186.68

0.70625.429

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

4.743.103.59


n 2 1s (cm) 5.6 > 2 cm

VIGA 29


20r (cm) 2

0.6d (cm) 36.5

25.3244.3144.3138.7743.08

0.78625.091

2.962.433.84


n 2 2s (cm) 3.5 > 2 cm

As nec (cm2)

As mín (cm2)

As adopt (cm2)

bw (cm)

ϕe (cm)


Vux der (kN)

Mu máx (kNm)

Mn (kNm)

kd

ke

As nec (cm2)

As mín (cm2)

As adopt (cm2)

kd ke1 ke2 ke ϕ 6 8 10 12 16 200.940 24.301 24.766 24.695 Área 0.28 0.5 0.79 1.13 2.01 3.140.786 24.766 25.207 25.091

0.706 25.207 25.625 25.429

0.622 25.625 26.021 25.969

0.579 26.021 26.399 26.379

0.565 26.399 26.758 26.548

0.526 26.758 27.100 27.085

0.501 27.100 27.427 27.536

27.427 27.739 37.973

27.739 28.038 39.055

0.470 28.038 28.324 28.295

254.91

VIGALongitud CARGAS MUERTAS

(m) (kN/m) (kN/m) (kN/m)

(kN) (kN) (kN) (kN)

1 3.53 - - - 31.20 60.63 - -2 4.48 - - - 43.30 32.05 - -3 3.53 - - - 31.20 60.63 - -4 4.48 - - - 40.80 30.81 - -5 3.53 23.21 4.34 27.54 40.96 40.96 - -6 3.53 36.31 9.68 45.98 - - 64.08 64.087 4.48 21.43 4.34 25.77 48.00 48.00 - -8 4.48 21.43 4.34 25.77 48.00 48.00 - -9 3.53 22.69 5.34 28.03 40.05 40.05 - -

10 2.65 31.77 2.47 34.23 - - 42.09 42.0911 4.90 - - - 85.84 87.51 - -12 4.42 - - - - - 85.49 49.9013 2.65 34.86 10.95 45.81 - - 46.19 46.1914 4.90 - - - - - 108.55 110.2315 4.42 - - - - - 48.25 32.1316 2.65 - - - - - 24.85 28.5817 2.65 40.06 5.10 45.16 - - 53.08 53.0818 4.90 53.05 7.62 60.67 - - 129.98 129.9819 3.50 31.80 2.06 33.86 - - 55.65 55.6520 3.53 12.48 2.25 14.73 22.02 22.02 - -21 4.48 12.81 2.25 15.06 28.70 28.70 - -22 3.53 11.81 2.25 14.07 20.85 20.85 - -23 4.48 12.15 2.25 14.40 27.22 27.22 - -24 4.90 - - - - - 57.62 43.7025 4.42 - - - - - 48.73 28.4426 4.42 - - - - - 93.03 78.4127 4.42 - - - - - 73.24 54.8228 4.90 22.19 3.81 25.99 - - 54.36 54.3629 3.50 21.51 3.81 25.32 - - 37.65 37.65

quD quL qu

VuDx izq VuDx der VuDy inf VuDy sup

CARGAS VIVAS CARGAS MUERTAS Y CARGAS VIVAS

(kN) (kN) (kN) (kN) (kN) (kN) (kN) (kN)

5.34 14.40 - - 36.54 75.03 - -

6.74 3.10 - - 50.04 35.14 - -

5.34 14.40 - - 36.54 75.03 - -

5.79 2.63 - - 46.59 33.44 - -

7.65 7.65 - - 48.61 48.61 - -

- - 17.08 17.08 - - 81.16 81.16

9.73 9.73 - - 57.73 57.73 - -

9.73 9.73 - - 57.73 57.73 - -

9.43 9.43 - - 49.48 49.48 - -

- - 3.27 3.27 - - 45.36 45.36

3.67 3.98 - - 89.51 91.50 - -

- - 4.86 2.83 - - 90.34 52.73

- - 14.51 14.51 - - 60.70 60.70

- - 22.41 22.72 - - 130.97 132.95

- - 8.41 6.41 - - 56.65 38.54

- - 7.50 8.92 - - 32.35 37.50

- - 6.76 6.76 - - 59.84 59.84

- - 18.66 18.66 - - 148.64 148.64

- - 3.60 3.60 - - 59.26 59.26

3.98 3.98 - - 26.00 26.00 - -

5.05 5.05 - - 33.74 33.74 - -

3.98 3.98 - - 24.83 24.83 - -

5.05 5.05 - - 32.26 32.26 - -

- - 9.33 5.97 - - 66.35 49.38

- - 8.37 4.89 - - 57.10 33.33

- - 18.66 15.31 - - 110.69 93.72

- - 15.04 11.55 - - 88.28 66.37

- - 9.33 9.33 - - 63.69 63.69

- - 6.66 6.66 - - 44.31 44.31

VuLx izq VuLx der VuLy inf VuLy sup Vux izq Vux der Vuy inf Vuy sup

con el ram

con el ram

igual a viga 1

con el ram

conjuncion de losas

con el ram

con el ram

resuelto con otro

con el ram

con el ram

con el ram

con el ram

con el ram

con el ram

con el ram

Planilla Calculo de Hormigon Armado

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