Post on 25-Dec-2015
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PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUELOSA MACIZA EN UNA DIRECCION
1. GEOMETRIA DE LOSASpara este punto se tomara una faja de calculo de 1 [m] generalizada para toda la losaprimero mostramos el plano en general con las fajas correspondientes
PREDIMENSIONAMIENTO
TABLA RESUMENBASE b [cm] 100
RECUBRIMIENTO MECANICO r [cm] 2
LONGITUD DESFAVORABLE 520
ALTURA h [cm] 16.90
LOSA 18.00
ALTURA UTIL d [cm] 16.00
2. CARGAS
para determinar las cargas nos basaremos en el modelo a continuacion
LDES [m]
h = 1.30*LDES/40 h = 1.30* LDES/40hADOP [cm]
LOSA 16 LOSA 17 LOSA 18 LOSA 19
LOSA 20 LOSA 21 LOSA 22 LOSA 23 LOSA 24 LOSA 25
LOSA 26 LOSA 27 LOSA 28 LOSA 29 LOSA 30 LOSA 31
3.80
4.15
4.00
3.90
3.40
4.00
4.20 3.40 3.25 4.00 4.45 5.20
A
6
B C D E F G
5
4
3
2
1
0
LOSA 1
LOSA 10 LOSA 11 LOSA 12 LOSA 13 LOSA 14 LOSA 15
LOSA 2 LOSA 3
LOSA 4 LOSA 5 LOSA 6 LOSA 7 LOSA 8 LOSA 9
REVESTIMIENTO (PARQUET)CONTRAPISO DE NIVELACIÓN
LOSA ALIVIANADA
REVOQUE (YESO)
0.010.04
0.15
0.02
1 [m]
0.05
0.1 0.4 0.1 0.4
CARGAS PERMANENTES
GK
1 1.2
0.3 0.3
22 0.88
12 2.4
25 4.32
1.7 0.18
9.28
CARGAS VARIABLESpara este punto se toma en cuenta que todas las losas seran dispuestas para Departamentos
QK 2 2
2.0
3. MATERIALES
HORMIGÓN H - 25ACERO B - 400 - S
25
400
25000
400000
1.5
1.15
MODULO DE ELASTICIDAD E [MPA] 200000
γ TABIQUERIA [KN/m2] GK TABIQUERIA [KN/m]
γ REVESTIMIENTO [KN/m2] GK REVESTIMIENTO [KN/m]
γ CONTRAPISO [KN/m3] GK CONTRAPISO [KN/m]
γ REVOQUE [KN/m3] GK REVOQUE [KN/m]
γ LOSA LLENA [KN/m3] GK LOSA LLENA [KN/m]
γ ALIGERANTE [KN/m3] GK ALIGERANTE [KN/m]
GK TOTAL [KN/m]
γ DEPTOS [KN/m2] QK DEPTOS [KN/m]
QK TOTAL [KN/m]
RESISTENCIA CARACTERISTICA DEL H° fCK [MPA]
RESISTENCIA CARACTERISTICA DEL A° fYK [MPA]
RESISTENCIA CARACTERISTICA DEL H° fCK [KN/m2]
RESISTENCIA CARACTERISTICA DEL A° fYK [KN/m2]
COEFICIENTE DE MINORACION DE H° γC
COEFICIENTE DE MINORACION DE A° γS
h [cm] 0.17
0.18
TABLA RESUMENPARA TODAS LAS LOSAS
9.28
2.00
11.28
13.92
3.2017.12
hADOP [cm]
GK TOTAL [KN/m]
QK TOTAL [KN/m]
PK TOTAL [KN/m]
GD TOTAL [KN/m]
QD TOTAL [KN/m]PD TOTAL [KN/m]
REVESTIMIENTO (PARQUET)CONTRAPISO DE NIVELACIÓN
LOSA ALIVIANADA
REVOQUE (YESO)
0.010.04
0.15
0.02
1 [m]
0.05
0.1 0.4 0.1 0.4
MAYORANDO LAS CARGAS
CARGAS EFECTO DESFAVORABLE
PERMANENTES 1.50
VARIABLES 1.60
13.92
3.2
11.3
17.1
3.2
17.1
TABLA RESUMEN
PARA TODAS LAS LOSAS
16666.67
347826.09
1.74
1.67
34.78
gfg
gfq
GD TOTAL [KN/m]
QD TOTAL [KN/m]
PK TOTAL [KN/m]
PD TOTAL [KN/m]
QD TOTAL [KN/m]
PD TOTAL [KN/m]
fCD [KN/m2]
fYD [KN/m2]
εY [[0/00]]
fCD [KN/cm2]
fYD [KN/cm2]
ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 37.00 35.40 34.10 33.20 32.30 31.80 31.50 31.30 31.20 31.20 31.30 31.40 31.40my 37.00 39.20 41.50 43.90 46.50 49.60 53.20 57.20 61.40 65.80 70.40 75.20 80.30
mex 16.00 15.30 14.80 14.50 14.20 14.10 14.00 14.10 14.10 14.20 14.40 14.60 14.80mey 16.00 16.80 17.60 18.40 19.20 20.00 20.80 21.60 22.40 23.20 24.00 24.80 25.60
Δ 0.35 0.36 0.37 0.38 0.39 0.40 0.42 0.44 0.45 0.47 0.49 0.51 0.52
ξxe 1.02 1.04 1.05 1.06 1.07 1.07 1.08 1.08 1.08 1.08 1.09 1.09 1.09ξxr 0.55 0.55 0.56 0.56 0.57 0.57 0.57 0.57 0.57 0.57 0.57 0.57 0.57ξye 1.02 1.06 1.09 1.12 1.14 1.16 1.18 1.2 1.21 1.21 1.22 1.22 1.23ξyr 0.55 0.57 0.59 0.61 0.63 0.64 0.65 0.66 0.67 0.68 0.69 0.69 0.7
ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 44.20 43.30 42.70 42.40 42.30 42.40 42.60 43.00 43.50 44.00 44.60 45.20 45.90my 50.50 54.60 59.30 64.50 70.30 76.50 83.30 90.80 98.60 107.0 117.0 126.0 137.0
mex 18.00 17.80 17.70 17.80 17.90 18.10 18.30 18.60 19.00 19.40 19.80 20.20 20.60mey 24.00 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40
0.61 0.65 0.70 0.75 0.81 0.87 0.93 0.99 1.04 1.09 1.14 1.19 1.24
0.84 0.90 0.96 1.02 1.09 1.16 1.22 1.29 1.36 1.43 1.49 1.55 1.60
ξxe 0.91 0.93 0.95 0.96 0.96 0.96 0.95 0.95 0.94 0.92 0.91 0.9 0.9ξxr 0.49 0.49 0.49 0.49 0.49 0.49 0.48 0.48 0.48 0.48 0.48 0.48 0.48ξye 0.95 0.97 0.99 1.01 1.03 1.03 1.04 1.04 1.04 1.04 1.03 1.03 1.03
ε 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 50.50 47.10 44.30 42.00 40.20 38.70 37.50 36.70 36.00 35.50 35.10 34.80 34.60my 44.20 45.40 46.90 48.60 50.70 53.00 55.70 58.50 61.60 64.90 68.50 72.50 76.60
mex 24.00 22.20 20.80 19.70 18.80 18.10 17.60 17.30 17.10 16.90 16.80 16.70 16.70mey 18.00 18.40 18.90 19.60 20.40 21.30 22.40 23.70 25.10 26.10 27.00 27.90 28.80
0.84 0.80 0.76 0.74 0.72 0.71 0.70 0.70 0.69 0.69 0.69 0.68 0.68
0.61 0.58 0.55 0.53 0.51 0.50 0.49 0.48 0.47 0.47 0.46 0.46 0.46
ξxe 0.95 0.98 1 1.02 1.04 1.05 1.06 1.07 1.08 1.08 1.08 1.08 1.08ξye 0.91 0.95 0.99 1.03 1.06 1.09 1.11 1.13 1.15 1.16 1.17 1.18 1.19ξyr 0.49 0.51 0.53 0.55 0.57 0.59 0.61 0.63 0.64 0.65 0.66 0.67 0.68
ε 1.00 1.05 1.10 1.15 1.2 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60mx 55.70 53.30 51.50 50.10 49.10 48.40 48.00 47.70 47.70 47.80 48.00 48.40 48.80my 55.70 58.80 62.30 66.20 70.70 75.60 81.00 87.20 93.50 100.4 108.2 116.4 125.0
mex 24.00 23.00 22.20 21.70 21.40 21.20 21.10 21.00 21.20 21.40 21.60 21.80 22.10mey 24.00 25.20 26.40 27.60 28.80 30.00 31.20 32.40 33.60 34.80 36.00 37.20 38.40
Δ 1.03 1.04 1.05 1.07 1.10 1.13 1.17 1.21 1.24 1.28 1.31 1.35 1.39
ξx 0.89 0.91 0.93 0.93 0.94 0.94 0.95 0.95 0.96 0.96 0.95 0.94 0.94ξy 0.9 0.93 0.95 0.97 0.99 1.01 1.02 1.03 1.04 1.04 1.04 1.04 1.04
ΔX
ΔY
ΔX
ΔY
TABLA 4
TABLA 5a
TABLA 5b
TABLA 6
Ly
Lx
Mey
Mey
Mex Mex
Mx
My
Mex MexLy
Lx
Mx
My
Mey
Mey
Ly
Lx
Mx
My
Mey
Mey
Mex Mex
Ly
Lx
Mx
My
Mey
Mey
Mex Mex
Ly
Lx
Mx
My
Mey
Mey
Mex Mex
TABLA RESUMEN
BASE b [cm] 100 3.2
RECUBRIMIENTO MECANICO r [cm] 2 17.1
LONGITUD DESFAVORABLE 520
ALTURA h [cm] 14.86
LOSA 18.00
ALTURA UTIL d [cm] 16.00
CALCULO DE CORTANTES PARA LOSASCOEFICIENTES DE LAS TABLAS
LOSA ε K [KN] TABLA ξxe ξxr
1 4 3.8 1.05 1.05 260.224 4 1.04 0.552 4.45 3.8 1.17 1.15 289.499 5b 1.023 5.2 3.8 1.37 1.35 338.291 4 1.08 0.574 4.2 4.15 1.01 1.00 298.402 4 1.02 0.555 4.15 3.4 1.22 1.20 241.563 5a 0.96 0.496 4.15 3.25 1.28 1.30 230.906 5a 0.95 0.48
7 4.15 4 1.04 1.05 284.192 6 0.91
8 4.45 4.15 1.07 1.05 316.164 6 0.919 5.2 4.15 1.25 1.25 369.450 5a 0.96 0.49
10 4.2 4 1.05 1.05 287.616 5a 0.93 0.4911 4 3.4 1.18 1.20 232.832 6 0.9412 4 3.25 1.23 1.25 222.560 5a 0.96 0.4913 4 4 1.00 1.00 273.920 5a 0.91 0.49
14 4.45 4 1.11 1.10 304.736 6 0.93
15 5.2 4 1.30 1.30 356.096 5a 0.95 0.4816 4.2 3.9 1.08 1.10 280.426 5a 0.95 0.4917 3.9 3.4 1.15 1.15 227.011 5b 1.0218 4.45 3.9 1.14 1.15 297.118 5a 0.96 0.4919 5.2 3.9 1.33 1.35 347.194 5a 0.95 0.4820 4.2 3.4 1.24 1.25 244.474 5a 0.96 0.49
21 3.4 3.4 1.00 1.00 197.907 6 0.89
22 3.4 3.25 1.05 1.05 189.176 5a 0.93 0.4923 4 3.4 1.18 1.20 232.832 5b 1.0424 4.45 3.4 1.31 1.30 259.026 6 0.9525 5.2 3.4 1.53 1.55 302.682 5a 0.9 0.4826 4.2 4 1.05 1.05 287.616 4 1.04 0.5527 4 3.4 1.18 1.20 232.832 5a 0.96 0.49
28 4 3.25 1.23 1.25 222.560 5a 0.96 0.49
29 4 4 1.00 1.00 273.920 5a 0.91 0.4930 4.45 4 1.11 1.10 304.736 5b 131 5.2 4 1.30 1.30 356.096 4 1.08 0.57
QD TOTAL [KN/m]
PD TOTAL [KN/m]
LDES [m]
h = LDES/35hADOP [cm]
LY [m] LX [m] εADOPTADO
DISPOSICION DE CORTANTESCOEFICIENTES DE LAS TABLAS CORTANTES EMPOTRADOS CORTANTES APOYADOS
ξye ξyr Vxe [KN] Vye [KN] Vxr [KN] Vyr [KN] LOSA
1.06 0.57 33.829 34.480 17.890 18.541 11.03 0.55 33.179 33.504 17.890 21.2 0.66 35.130 39.034 18.541 21.468 3
1.02 0.55 36.234 36.234 19.538 19.538 41.03 27.940 29.977 14.261 5 4 19.5381.04 26.429 28.933 13.354 6
0.93 31.158 31.843 7
19.5
38
0.93 32.327 33.037 81.03 34.103 36.590 17.407 90.97 31.843 33.213 16.778 100.99 27.358 28.813 11 36.2341.03 26.707 28.655 13.632 12 10 33.2130.95 31.158 32.528 16.778 13
0.95 31.843 32.528 14
16.7
78
1.04 32.528 35.610 16.435 150.99 31.715 33.050 16.358 161.03 0.55 29.686 29.977 16.007 171.01 32.049 33.718 16.358 18 33.2131.04 31.715 34.719 16.024 19 16 33.0501.03 27.940 29.977 14.261 20
0.9 25.903 26.194 21
16.3
580.97 25.873 26.985 13.632 221.06 0.57 30.268 30.850 16.589 231.02 27.649 29.686 241.03 26.194 29.977 13.970 25 33.0501.06 0.57 35.610 36.294 18.832 19.517 26 20 29.9771.03 27.940 29.977 14.261 27
1.03 26.707 28.655 13.632 28
14.2
61
0.95 31.158 32.528 16.778 290.99 0.53 34.240 33.898 18.147 301.18 0.65 36.979 40.403 19.517 22.256 31
29.97726 36.294
18.8
32
19.517
DISPOSICION DE CORTANTES 1 18.541 2 17.890 3 21.468
17.8
90
33.8
29
33.1
79
33.1
79
35.1
30
34.480 33.504 39.0345 14.261 6 13.354 7 31.158 8 33.037 9 36.590
36.2
34
29.9
77
29.9
77
28.9
33
28.9
33
31.8
43
31.8
43
32.3
27
32.3
27
34.1
03
27.940 26.429 31.158 33.037 36.59011 27.358 12 26.707 13 31.158 14 32.528 15 35.610
31.8
43
28.8
13
28.8
13
28.6
55
28.6
55
32.5
28
32.5
28
31.8
43
31.8
43
32.5
28
27.358 13.632 16.778 32.528 35.61017 29.686 18 33.718 19 34.719
31.7
15
29.9
77
16.0
07
16.3
58
32.0
49
31.7
1529.686 33.718 34.719
21 26.194 22 13.632 23 16.589 24 29.686 25 29.977
27.9
40
25.9
03
25.9
03
26.9
85
26.9
85
30.2
68
30.2
68
27.6
49
27.6
49
26.1
94
26.194 25.873 30.850 29.686 29.97727 27.940 28 26.707 29 31.158 30 33.898 31 40.403
35.6
10
29.9
77
29.9
77
28.6
55
28.6
55
32.5
28
32.5
28
34.2
40
34.2
40
36.9
79
14.261 13.632 16.778 18.147 22.256
18.5
4117
.407
16.4
3516
.024
13.9
7019
.517
TABLA RESUMEN
BASE b [cm] 100 3.2
RECUBRIMIENTO MECANICO r [cm] 2 17.1
LONGITUD DESFAVORABLE 520
ALTURA h [cm] 14.86
LOSA 18.00
ALTURA UTIL d [cm] 16.00
CALCULO DE MOMENTOS PARA LOSAS
COEFICIENTES DE LAS TABLAS
LOSA ε K [KN] TABLA mx my
1 4 3.8 1.05 1.05 260.224 4 35.4 39.2
2 4.45 3.8 1.17 1.15 289.499 5b 42 48.6
3 5.2 3.8 1.37 1.35 338.291 4 31.3 57.2
4 4.2 4.15 1.01 1.00 298.402 4 37 37
5 4.15 3.4 1.22 1.20 241.563 5a 42.3 70.3
6 4.15 3.25 1.28 1.30 230.906 5a 42.6 83.3
7 4.15 4 1.04 1.05 284.192 6 53.3 58.8
8 4.45 4.15 1.07 1.05 316.164 6 53.3 58.8
9 5.2 4.15 1.25 1.25 369.450 5a 42.4 76.5
10 4.2 4 1.05 1.05 287.616 5a 43.3 54.6
11 4 3.4 1.18 1.20 232.832 6 49.1 70.7
12 4 3.25 1.23 1.25 222.560 5a 42.4 76.5
13 4 4 1.00 1.00 273.920 5a 44.2 50.5
14 4.45 4 1.11 1.10 304.736 6 51.5 62.3
15 5.2 4 1.30 1.30 356.096 5a 42.6 83.3
16 4.2 3.9 1.08 1.10 280.426 5a 42.7 59.3
17 3.9 3.4 1.15 1.15 227.011 5b 42 48.6
18 4.45 3.9 1.14 1.15 297.118 5a 42.4 64.5
19 5.2 3.9 1.33 1.35 347.194 5a 43 90.8
20 4.2 3.4 1.24 1.25 244.474 5a 42.4 76.5
21 3.4 3.4 1.00 1.00 197.907 6 55.7 55.7
22 3.4 3.25 1.05 1.05 189.176 5a 43.3 54.6
23 4 3.4 1.18 1.20 232.832 5b 40.2 50.7
24 4.45 3.4 1.31 1.30 259.026 6 48 81
25 5.2 3.4 1.53 1.55 302.682 5a 45.2 126
26 4.2 4 1.05 1.05 287.616 4 35.4 39.2
27 4 3.4 1.18 1.20 232.832 5a 42.3 70.3
28 4 3.25 1.23 1.25 222.560 5a 42.4 76.5
29 4 4 1.00 1.00 273.920 5a 44.2 50.5
30 4.45 4 1.11 1.10 304.736 5b 44.3 46.9
31 5.2 4 1.30 1.30 356.096 4 31.5 53.2
QD TOTAL [KN/m]
PD TOTAL [KN/m]
LDES [m]
h = LDES/35hADOP [cm]
LY [m] LX [m] εADOPTADO
PARA LOSA 1
17.1
3.8
4
3.2
ε 1.053
K [KN] 260.224
PARA LOSA 2
17.1 COEFICIENTES DE LAS TABLAS
3.8 mx
4.45 my
mex
3.2 mey
ε 1.171
K [KN] 289.4992
PARA LOSA 3
17.1 COEFICIENTES DE LAS TABLAS
3.8 mx
5.2 my
mex
3.2 mey
ε 1.368 Δ
K [KN] 338.2912
PARA LOSA 4
17.1 COEFICIENTES DE LAS TABLAS
4.15 mx
4.2 my
mex
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
ΔX
ΔY
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
PD [KN/m2]
LX [m]
LY [m]
3.2 mey
ε 1.012 Δ
K [KN] 298.4016 κ
PARA LOSA 5
17.1 COEFICIENTES DE LAS TABLAS
3.4 mx
4.15 my
mex
3.2 mey
ε 1.221
K [KN] 241.5632
PARA LOSA 6
17.1 COEFICIENTES DE LAS TABLAS
3.25 mx
4.15 my
mex
3.2 mey
ε 1.277
K [KN] 230.906
PARA LOSA 7
17.1 COEFICIENTES DE LAS TABLAS
4 mx
4.15 my
mex
3.2 mey
ε 1.038 Δ
K [KN] 284.192
PARA LOSA 8
17.1 COEFICIENTES DE LAS TABLAS
4.15 mx
4.45 my
mex
3.2 mey
ε 1.072 Δ
K [KN] 316.1636
QD [KN/m2]
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
ΔX
ΔY
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
ΔX
ΔY
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
PD [KN/m2]
LX [m]
LY [m]
QD [KN/m2]
COEFICIENTES DE LAS TABLAS MOMENTOS INICIALES MOMENTOS EN LOS APOYOS MOMENTOS MAXIMOS EN TRAMOS
mex mey Δ
15.3 16.8 0.36 7.351 6.638 -17.008 -15.490 7.598
19.7 19.6 0.74 0.53 6.893 5.957 -14.695 -14.770 7.370
14.1 21.6 0.44 10.808 5.914 -23.992 -15.662 11.252
16 16 0.35 8.065 8.065 -18.650 -18.650 8.329
17.9 28.8 0.81 1.09 5.711 3.436 -13.495 -8.388 6.143
18.3 31.2 0.93 1.22 5.420 2.772 -12.618 -7.401 5.891
23 25.2 1.04 5.332 4.833 -12.356 -11.277 5.850
23 25.2 1.04 5.932 5.377 -13.746 -12.546 6.508
18.1 30 0.87 1.16 8.713 4.829 -20.412 -12.315 9.422
17.8 25.2 0.65 0.9 6.642 5.268 -16.158 -11.413 7.046
21.4 28.8 1.1 4.742 3.293 -10.880 -8.084 5.229
18.1 30 0.87 1.16 5.249 2.909 -12.296 -7.419 5.676
18 24 0.61 0.84 6.197 5.424 -15.218 -11.413 6.551
22.2 26.4 1.05 5.917 4.891 -13.727 -11.543 6.498
18.3 31.2 0.93 1.22 8.359 4.275 -19.459 -11.413 9.086
17.7 26.4 0.7 0.96 6.567 4.729 -15.843 -10.622 6.997
19.7 19.6 0.74 0.53 5.405 4.671 -11.523 -11.582 5.779
17.8 27.6 0.75 1.02 7.007 4.606 -16.692 -10.765 7.499
18.6 32.4 0.99 1.29 8.074 3.824 -18.666 -10.716 8.821
18.1 30 0.87 1.16 5.766 3.196 -13.507 -8.149 6.235
24 24 1.03 3.553 3.553 -8.246 -8.246 3.895
17.8 25.2 0.65 0.9 4.369 3.465 -10.628 -7.507 4.634
18.8 20.4 0.72 0.51 5.792 4.592 -12.385 -11.413 6.182
21.1 31.2 1.17 5.396 3.198 -12.276 -8.302 5.986
20.2 37.2 1.19 1.55 6.696 2.402 -14.984 -8.137 7.441
15.3 16.8 0.36 8.125 7.337 -18.798 -17.120 8.398
17.9 28.8 0.81 1.09 5.504 3.312 -13.007 -8.084 5.921
18.1 30 0.87 1.16 5.249 2.909 -12.296 -7.419 5.676
18 24 0.61 0.84 6.197 5.424 -15.218 -11.413 6.551
20.8 18.9 0.76 0.55 6.879 6.498 -14.651 -16.124 7.368
14 20.8 0.42 11.305 6.694 -25.435 -17.120 11.748
ΔX ΔY MX [KN-m/m] MY [KN-m/m] Mex [KN-m/m] Mey [KN-m/m] MX MAX [KN-m/m]
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
42
48.6
19.7
19.6
0.74
0.53
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
31.3
70.4
14.4
24
0.49
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
37
37
16
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
16
0.35
1.15
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
42.3
70.3
17.9
28.8
0.81
1.09
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
43
90.8
18.6
32.4
0.99
1.29
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
53.3
58.8
23
25.2
1.04
1
1.1
COEFICIENTES DE LAS TABLASMOMENTOS INICIALES
51.5
62.3
22.2
26.4
1.05
1
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MX [KN-m/m]
MY [KN-m/m]
Mex [KN-m/m]
Mey [KN-m/m]
MX MAX [KN-m/m]
MY MAX [KN-m/m]
MOMENTOS MAXIMOS EN TRAMOS MOMENTOS CALCULADOS
6.862 1
6.252 2
6.157 3
8.329 4
3.786 5 4 5
3.088 6
5.303 7
8.33
-18.
65
-13.
50 3.79
5.900 8
5.353 9 8.33
5.711 10
3.632 11 -18.65 -8.39
3.225 12 10 -16.16 11 -8.08
5.850 13
5.371 147.
05
-11.
41
-10.
88 3.63
4.762 15
5.153 16 5.71
4.902 17
5.046 18 -16.16 -8.08
4.285 19 16 -15.84 17 -11.58
3.542 20
3.895 21
7.00
-10.
62
-11.
52 4.90
3.756 22
4.811 23 5.15
3.548 24
2.750 25 -15.84 -11.58
7.584 26 20 -13.51 21 -8.25
3.649 27
3.225 28
6.23
-8.1
5
-8.2
5 3.90
5.850 29
6.832 30 3.54
6.956 31
MY MAX [KN-m/m]
-13.51 -8.25
26 -18.80 27 -8.08
8.40
-17.
12
-13.
01 3.65
7.58
1 2 3
MOMENTOS CALCULADOS
7.60
-15.
49
-14.
77 7.37
-14.
77
-15.
66 11.2
5
6.86 6.25 6.16
-17.01 -14.70 -23.99
6 7 -11.28 8 -13.75 9 -20.41
-13.
50
-12.
62 3.09
-12.
62
-12.
36 5.30
-12.
36
-12.
55 6.51
-12.
55
-12.
31 9.42
6.14 5.89 5.85 5.90 5.35
-8.39 -7.40 -11.28 -13.75 -20.41
-8.08 12 -7.42 13 -11.41 14 -13.73 15 -19.46
-10.
88
-12.
30 3.22
-12.
30
-15.
22 5.85
-15.
22
-11.
54 6.50
-11.
54
-11.
41 9.09
5.23 5.68 6.55 5.37 4.76
-8.08 -13.73 -19.46
-11.58 18 -16.69 19 -18.67
7.50
-10.
77
-10.
72 8.82
5.78 5.05 4.28
-11.58 -16.69 -18.67
-8.25 22 23 24 -12.28 25 -14.98
-8.2
5
-10.
63 3.76
-10.
63
-11.
41 6.18
-11.
41
-8.3
0 5.99
-8.3
0
-8.1
4 7.44
3.90 4.63 4.81 3.55 2.75
-8.25 -7.51 -12.38 -12.28 -14.98
-8.08 28 -7.42 29 -11.41 30 -14.65 31 -25.44
-13.
01
-12.
30 3.22
-12.
30
-15.
22 5.85
-15.
22
-16.
12 7.37
-16.
12
-17.
12 11.7
5
5.92 5.68 6.55 6.83 6.96
2. COMPATIBILIZACION DE MOMENTOS EN APOYOS
Para la aplicacion de la siguiente metodologia simplificada deberan cumplirse las siguientes condiciones:
1) Las cargas de as placas deberan ser similares
2) La geometria de las placas deberan ser similares
3) Los espesores (alturas) de las placas no deberan variar entre si en mas de un 10%
CASO a) si Ma=Mb
Mapoyo = Ma = Mb
CASO b) si
Mapoyo = (Ma+Mb)/2
CASO c) si 0.85 Ma> Mb
Mapoyo = 0.8Ma
0.85 Ma< Mb
LOSAS1 OBSERVACION
2 15.49 13.17 14.77 CASO b) 15.13
LOSAS2 OBSERVACION
3 15.66 13.31 14.77 CASO b) 15.22
LOSAS4 OBSERVACION
5 18.65 15.85 13.50 CASO c) 15.85
LOSAS5 OBSERVACION
6 13.50 11.47 12.62 CASO b) 13.06
LOSAS6 OBSERVACION
7 12.62 10.73 12.36 CASO b) 12.49
LOSAS7 OBSERVACION
8 12.55 10.66 12.36 CASO b) 12.45
LOSAS8 OBSERVACION
9 12.55 10.66 12.31 CASO b) 12.43
LOSAS10 OBSERVACION
11 11.41 9.70 10.88 CASO b) 11.15
LOSAS11 OBSERVACION
12 12.30 10.45 10.88 CASO b) 11.59
LOSAS12 OBSERVACION
13 15.22 12.94 12.30 CASO c) 12.94
LOSAS13 OBSERVACION
14 15.22 12.94 11.54 CASO c) 12.94
LOSAS14 OBSERVACION
15 11.54 9.81 11.41 CASO b) 11.48
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
LOSAS16 OBSERVACION
17 11.52 9.79 10.62 CASO b) 11.07
LOSAS18 OBSERVACION
19 10.77 9.15 10.72 CASO b) 10.74
LOSAS20 OBSERVACION
21 8.25 7.01 8.15 CASO b) 8.20
LOSAS21 OBSERVACION
22 10.63 9.03 8.25 CASO c) 9.03
LOSAS22 OBSERVACION
23 11.41 9.70 10.63 CASO b) 11.02
LOSAS23 OBSERVACION
24 11.41 9.70 8.30 CASO c) 9.70
LOSAS24 OBSERVACION
25 8.30 7.06 8.14 CASO b) 8.22
LOSAS26 OBSERVACION
27 17.12 14.55 13.01 CASO c) 14.55
LOSAS27 OBSERVACION
28 13.01 11.06 12.30 CASO b) 12.65
LOSAS28 OBSERVACION
29 15.22 12.94 12.30 CASO c) 12.94
LOSAS29 OBSERVACION
30 16.12 13.71 15.22 CASO b) 15.67
LOSAS30 OBSERVACION
31 17.12 14.55 16.12 CASO b) 16.62
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
LOSAS3 OBSERVACION
9 23.99 20.39 20.41 CASO b) 22.20
LOSAS9 OBSERVACION
15 20.41 17.35 19.46 CASO b) 19.94
LOSAS15 OBSERVACION
19 19.46 16.54 18.67 CASO b) 19.06
LOSAS19 OBSERVACION
25 18.67 15.87 14.98 CASO c) 15.87
LOSAS25 OBSERVACION
31 25.44 21.62 14.98 CASO c) 21.62
LOSAS2 OBSERVACION
8 14.70 12.49 13.75 CASO b) 14.22
LOSAS8 OBSERVACION
14 13.75 11.68 13.73 CASO b) 13.74
LOSAS14 OBSERVACION
18 16.69 14.19 13.73 CASO c) 14.19
LOSAS18 OBSERVACION
24 16.69 14.19 12.28 CASO c) 14.19
LOSAS24 OBSERVACION
30 14.65 12.45 12.28 CASO c) 12.45
LOSAS1 OBSERVACION
7 17.01 14.46 11.28 CASO c) 14.46
LOSAS7 OBSERVACION
13 11.41 9.70 11.28 CASO b) 11.35
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
LOSAS23 OBSERVACION
29 12.38 10.53 11.41 CASO b) 11.90
LOSAS6 OBSERVACION
12 7.42 6.31 7.40 CASO b) 7.41
LOSAS22 OBSERVACION
28 7.51 6.38 7.42 CASO b) 7.46
LOSAS5 OBSERVACION
11 8.39 7.13 8.08 CASO b) 8.24
LOSAS11 OBSERVACION
17 11.58 9.84 8.08 CASO c) 9.84
LOSAS17 OBSERVACION
21 11.58 9.84 8.25 CASO c) 9.84
LOSAS21 OBSERVACION
27 8.25 7.01 8.08 CASO b) 8.17
LOSAS4 OBSERVACION
10 18.65 15.85 16.16 CASO b) 17.40
LOSAS10 OBSERVACION
16 16.16 13.73 15.84 CASO b) 16.00
LOSAS16 OBSERVACION
20 15.84 13.47 13.51 CASO b) 14.68
LOSAS20 OBSERVACION
26 18.80 15.98 13.51 CASO c) 15.98
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MA 0.85*MA MB MAPOYO
MOMENTOS FINALES COMPENSADOS
4 5 6
8.95
15.8
5
15.8
5 3.86
13.0
6
13.0
6 3.08
9.73 7.54 6.18
17.40 8.24 7.41
10 17.40 11 8.24 12 7.41
7.75
11.1
5
11.1
5 2.68
11.5
9
11.5
9 3.23
5.84 4.74 6.35
16.00 9.84
16 16.00 17 9.84
7.66
11.0
7
11.0
7 6.64
4.93 6.00
14.68 9.84
20 14.68 21 9.84 22
4.41
8.20
8.20 4.
73
9.03
9.03 3.
78
3.52 4.31 5.63
15.98 8.17 7.46
26 15.98 27 8.17 28 7.46
9.81
14.5
5
14.5
5 3.61
12.6
5
12.6
5 3.20
8.87 6.87 5.18
1 2 3
8.87
15.1
3
15.1
3 7.61
15.2
2
15.2
2
12.1
5
7.04 5.85 6.38
DE ARRIBA HACIA ABAJO
14.46 14.22 22.20 LOSA PAÑO ΔM1
7 14.46 8 14.22 9 22.20 3 EXTERNO
9 INTERNO 1.790
12.4
9
12.4
9 3.68
12.4
5
12.4
5 6.75
12.4
3
12.4
3 8.29
15 INTERNO 0.476
19 INTERNO 0.396
6.18 5.74 6.00 5.30 25 INTERNO 0.882
31 EXTERNO
11.35 13.74 19.94 2 EXTERNO
13 11.35 14 13.74 15 19.94 8 INTERNO 0.475
14 INTERNO 0.010
12.9
4
12.9
4 5.88
12.9
4
12.9
4 6.26
11.4
8
11.4
8 9.52
18 INTERNO 2.504
24 INTERNO 1.912
6.35 8.83 6.10 4.73 30 EXTERNO
1 EXTERNO
14.19 19.06 7 INTERNO 3.179
18 14.19 19 19.06 13 EXTERNO
23 EXTERNO
10.0
0
10.7
4
10.7
4
10.4
2 29 EXTERNO
6 EXTERNO
5.06 4.27 12 EXTERNO
22 EXTERNO
14.19 15.87 28 EXTERNO
23 24 14.19 25 15.87 5 EXTERNO
11 INTERNO 0.152
11.0
2
11.0
2 6.42
9.70
9.70 4.
94
8.22
8.22 3.
68
17 INTERNO 1.737
21 INTERNO 1.599
5.63 5.86 4.29 2.71 27 EXTERNO
4 EXTERNO
11.90 12.45 21.62 10 INTERNO 1.246
29 11.90 30 12.45 31 21.62 16 INTERNO 0.157
20 INTERNO 1.168
12.9
4
12.9
4 5.61
15.6
7
15.6
7 8.47
16.6
2
16.6
2
13.6
6 26 EXTERNO
5.18 7.92 7.31 7.21
DE DERECHA A IZQUIERDA
LOSA PAÑO ΔM1
1 EXTERNO
2 INTERNO 0.360
3 EXTERNO
4 EXTERNO
5 INTERNO 2.357
6 INTERNO 0.439
7 INTERNO 0.131
8 INTERNO 0.095
9 EXTERNO
10 EXTERNO
11 INTERNO 0.267
12 INTERNO 0.708
13 INTERNO 2.283
14 INTERNO 1.392
15 EXTERNO
16 EXTERNO
17 EXTERNO
18 EXTERNO
19 EXTERNO
20 EXTERNO
21 INTERNO 0.049
22 INTERNO 1.594
23 INTERNO 0.393
24 INTERNO 1.399
25 EXTERNO
26 EXTERNO
27 INTERNO 1.545
28 INTERNO 0.356
29 INTERNO 2.283
30 INTERNO 0.453
31 EXTERNO
DE ARRIBA HACIA ABAJO
ΔM2 ΔM
0.895
0.476 1.133
0.396 0.436
2.800 1.598
6.636 3.759
1.908
0.237
0.010 0.242
0.461 0.236
2.504 2.504
0.177 1.045
1.099
1.276
0.068 1.624
0.034
0.243
0.243
0.004
0.004
0.022
0.022
0.076
1.760 0.956
1.737 1.737
0.081 0.840
0.040
0.623
0.157 0.702
1.168 0.663
2.472 1.820
1.410
DE DERECHA A IZQUIERDA
ΔM2 ΔM
0.180
0.446 0.403
0.223
1.399
0.439 1.398
0.131 0.285
0.095 0.113
0.116 0.105
0.058
0.133
0.708 0.487
0.639 0.674
2.283 2.283
0.065 0.728
0.032
0.225
0.225
0.012
0.012
0.024
0.788 0.418
0.393 0.993
1.712 1.052
0.083 0.741
0.041
1.284
0.356 0.950
0.639 0.497
0.453 1.368
0.498 0.476
0.249
MOMENTOS COMPATIBILIZADOS
1 2 3
8.87
4
15.1
30
15.1
30 7.60
7
15.2
16
15.2
16
7.042 5.849
14.457 14.221
4 5 6 7 14.457 8 14.221 9
8.95
2
15.8
53
15.8
53 3.86
2
13.0
56
13.0
56 3.08
4
12.4
87
12.4
87 3.67
9
12.4
51
12.4
51 6.75
0
12.4
31
12.4
31
9.727 7.541 6.176 5.737 6.005
17.404 8.236 7.410 11.345 13.737
10 17.404 11 8.236 12 7.410 13 11.345 14 13.737 15
7.74
8
11.1
47
11.1
47 2.67
6
11.5
88
11.5
88 3.22
9
12.9
35
12.9
35 5.88
4
12.9
35
12.9
35 6.26
2
11.4
78
11.4
78
5.844 4.742 6.349 8.833 6.100
16.001 9.845 14.188
16 16.001 17 9.845 18 14.188 19
7.66
0
11.0
73
11.0
73 6.64
0
10.0
02
10.7
40
10.7
40
4.928 6.004 5.058
14.675 9.845 14.188
20 14.675 21 9.845 22 23 24 14.188 25
4.41
5
8.19
8
8.19
8
4.73
5
9.03
4
9.03
4
3.77
8
11.0
21
11.0
21
6.42
4
9.70
1
9.70
1
4.94
2
8.21
9
8.21
9
3.518 4.313 5.628 5.864 4.289
15.979 8.165 7.463 11.899 12.45326 15.979 27 8.165 28 7.463 29 11.899 30 12.453 31
9.80
8
14.5
52
14.5
52
3.60
9
12.6
52
12.6
52
3.20
3
12.9
35
12.9
35
5.60
7
15.6
71
15.6
71
8.46
6
16.6
22
16.6
22
9.80
8
14.5
52
14.5
52
3.60
9
12.6
52
12.6
52
3.20
3
12.9
35
12.9
35
5.60
7
15.6
71
15.6
71
8.46
6
16.6
22
16.6
22
8.868 6.871 5.179 7.918 7.307
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMEN
PARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]
9.28 16666.67RECUBRIMIENTO MECANICO r [cm]
2.00 347826.09LONGITUD DESFAVORABLE
11.28 1.74 ALTURA h [cm]
13.92 1.67 LOSA
3.20 34.78 ALTURA UTIL d [cm]
12.1
48 17.12
6.380
22.202 CALCULO A FLEXION
22.202
8.28
9
MOMENTO [KN-m/m] μ α β z
5.295 MD-DE 7.04 0.0165 0.0208 0.9917 15.8669 1.2759
MD-E 15.13 0.0355 0.0451 0.9819 15.7111 2.7687
19.935 MD-EF 5.85 0.0137 0.0173 0.9931 15.8896 1.0583
19.935 MD-F 15.22 0.0357 0.0454 0.9818 15.7094 2.7847
MD-FG 6.38 0.0150 0.0188 0.9925 15.8795 1.1551
9.52
2
MD-AB 9.727 0.0228 0.0288 0.9885 15.8155 1.7683
4.730 MD-B 15.853 0.0372 0.0473 0.9811 15.6970 2.9035
MD-BC 7.541 0.0177 0.0223 0.9911 15.8573 1.3672
19.063 MD-C 13.056 0.0306 0.0389 0.9845 15.7513 2.3831
19.063 MD-CD 6.176 0.0145 0.0182 0.9927 15.8833 1.1179
MD-D 12.487 0.0293 0.0371 0.9851 15.7623 2.2776
10.4
19 MD-DE 5.737 0.0134 0.0169 0.9932 15.8917 1.0379
MD-E 12.451 0.0292 0.0370 0.9852 15.7630 2.2710
4.272 MD-EF 6.005 0.0141 0.0177 0.9929 15.8866 1.0867
MD-F 12.431 0.0291 0.0370 0.9852 15.7634 2.2671
15.866 MD-FG 5.295 0.0124 0.0156 0.9938 15.9001 0.9575
15.866
MD-AB 5.844 0.0137 0.0172 0.9931 15.8897 1.0574
3.68
2 MD-B 11.147 0.0261 0.0331 0.9868 15.7882 2.0298
MD-BC 4.742 0.0111 0.0140 0.9944 15.9106 0.8569
2.709 MD-C 11.588 0.0272 0.0344 0.9862 15.7797 2.1113MD-CD 6.349 0.0149 0.0187 0.9925 15.8801 1.1495
21.620 MD-D 12.935 0.0303 0.0385 0.9846 15.7537 2.360621.620 MD-DE 8.833 0.0207 0.0262 0.9895 15.8326 1.6040
MD-E 12.935 0.0303 0.0385 0.9846 15.7537 2.3606
13.6
56 MD-EF 6.100 0.0143 0.0180 0.9928 15.8848 1.1040
GK TOTAL [KN/m] fCD [KN/m2]
QK TOTAL [KN/m] fYD [KN/m2] LDES [m]
PK TOTAL [KN/m] εY [[0/00]]h = 1.30*LDES/40
GD TOTAL [KN/m] fCD [KN/cm2] hADOP [cm]
QD TOTAL [KN/m] fYD [KN/cm2]
PD TOTAL [KN/m]
AS1 [cm2/m]
13.6
56MD-F 11.478 0.0269 0.0341 0.9864 15.7818 2.0910
7.205 MD-FG 4.730 0.0111 0.0139 0.9944 15.9108 0.8547
MD-AB 4.928 0.0115 0.0145 0.9942 15.9071 0.8907
MD-B 11.073 0.0260 0.0329 0.9869 15.7896 2.0162
MD-BC 6.004 0.0141 0.0177 0.9929 15.8866 1.0866
MD-EF 5.058 0.0119 0.0149 0.9940 15.9046 0.9143
MD-F 10.740 0.0252 0.0319 0.9873 15.7960 1.9549
MD-FG 4.272 0.0100 0.0126 0.9950 15.9195 0.7716
MOMENTO [KN-m/m] μ α β z
MD-AB 3.518 0.0082 0.0103 0.9959 15.9338 0.6348
MD-B 8.198 0.0192 0.0243 0.9903 15.8448 1.4874
MD-BC 4.313 0.0101 0.0127 0.9949 15.9187 0.7790
MD-C 9.034 0.0212 0.0268 0.9893 15.8288 1.6408
MD-CD 5.628 0.0132 0.0166 0.9934 15.8938 1.0180
MD-D 11.021 0.0258 0.0327 0.9869 15.7906 2.0065
MD-DE 5.864 0.0137 0.0173 0.9931 15.8893 1.0610
MD-E 9.701 0.0227 0.0288 0.9885 15.8160 1.7635
MD-EF 4.289 0.0101 0.0126 0.9949 15.9192 0.7745
MD-F 8.219 0.0193 0.0243 0.9903 15.8444 1.4914
MD-FG 2.709 0.0063 0.0080 0.9968 15.9490 0.4883
MD-AB 8.868 0.0208 0.0263 0.9895 15.8320 1.6104
MD-B 14.552 0.0341 0.0434 0.9826 15.7223 2.6610
MD-BC 6.871 0.0161 0.0203 0.9919 15.8701 1.2448
MD-C 12.652 0.0297 0.0376 0.9849 15.7592 2.3081
MD-CD 5.179 0.0121 0.0153 0.9939 15.9023 0.9362
MD-D 12.935 0.0303 0.0385 0.9846 15.7537 2.3606
MD-DE 7.918 0.0186 0.0234 0.9906 15.8501 1.4363
MD-E 15.671 0.0367 0.0468 0.9813 15.7006 2.8695
MD-EF 7.307 0.0171 0.0216 0.9914 15.8618 1.3244
MD-F 16.622 0.0390 0.0497 0.9801 15.6820 3.0473
MD-FG 7.205 0.0169 0.0213 0.9915 15.8637 1.3058
AS1 [cm2/m]
ARMADURAS LONGITUDINALES
TABLA RESUMEN TRAMO 5-6
100
2
520 TRAMO DE
16.90 APOYO E
18.00
16.00
TRAMO DE
APOYO E
CUANTIA CUANTIA TRAMO EF
GEOMETRICA MECANICA APOYO E
APOYO F
OBSERVACION `
3.2 3.067 3.20 VIGA RECTANGULAR MD-DE
3.2 3.067 3.20 VIGA RECTANGULAR MD-E TRAMO EF
3.2 3.067 3.20 VIGA RECTANGULAR MD-EF APOYO E
3.2 3.067 3.20 VIGA RECTANGULAR MD-F APOYO F
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG
3.2 3.067 3.20 VIGA RECTANGULAR MD-AB
3.2 3.067 3.20 VIGA RECTANGULAR MD-B TRAMO FG
3.2 3.067 3.20 VIGA RECTANGULAR MD-BC APOYO F
3.2 3.067 3.20 VIGA RECTANGULAR MD-C
3.2 3.067 3.20 VIGA RECTANGULAR MD-CD
3.2 3.067 3.20 VIGA RECTANGULAR MD-D TRAMO FG
3.2 3.067 3.20 VIGA RECTANGULAR MD-DE APOYO F
3.2 3.067 3.20 VIGA RECTANGULAR MD-E
3.2 3.067 3.20 VIGA RECTANGULAR MD-EF TRAMO 4-5
3.2 3.067 3.20 VIGA RECTANGULAR MD-F
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG
TRAMO AB
3.2 3.067 3.20 VIGA RECTANGULAR MD-AB APOYO B
3.2 3.067 3.20 VIGA RECTANGULAR MD-B
3.2 3.067 3.20 VIGA RECTANGULAR MD-BC
3.2 3.067 3.20 VIGA RECTANGULAR MD-C TRAMO AB3.2 3.067 3.20 VIGA RECTANGULAR MD-CD APOYO B3.2 3.067 3.20 VIGA RECTANGULAR MD-D3.2 3.067 3.20 VIGA RECTANGULAR MD-DE3.2 3.067 3.20 VIGA RECTANGULAR MD-E3.2 3.067 3.20 VIGA RECTANGULAR MD-EF TRAMO BC
ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)
ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]
3.2 3.067 3.20 VIGA RECTANGULAR MD-F APOYO B
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG APOYO C`
3.2 3.067 3.20 VIGA RECTANGULAR MD-AB
3.2 3.067 3.20 VIGA RECTANGULAR MD-B TRAMO BC
3.2 3.067 3.20 VIGA RECTANGULAR MD-BC APOYO B
APOYO C
3.2 3.067 3.20 VIGA RECTANGULAR MD-EF
3.2 3.067 3.20 VIGA RECTANGULAR MD-F
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG
TRAMO CD
APOYO C
APOYO D
CUANTIA CUANTIA `
GEOMETRICA MECANICA
TRAMO CD
APOYO C
3.2 3.067 3.20 VIGA RECTANGULAR MD-AB APOYO D
3.2 3.067 3.20 VIGA RECTANGULAR MD-B
3.2 3.067 3.20 VIGA RECTANGULAR MD-BC
3.2 3.067 3.20 VIGA RECTANGULAR MD-C
3.2 3.067 3.20 VIGA RECTANGULAR MD-CD TRAMO DE
3.2 3.067 3.20 VIGA RECTANGULAR MD-D APOYO D
3.2 3.067 3.20 VIGA RECTANGULAR MD-DE APOYO E
3.2 3.067 3.20 VIGA RECTANGULAR MD-E `
3.2 3.067 3.20 VIGA RECTANGULAR MD-EF
3.2 3.067 3.20 VIGA RECTANGULAR MD-F TRAMO DE
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG APOYO D
APOYO E
3.2 3.067 3.20 VIGA RECTANGULAR MD-AB
3.2 3.067 3.20 VIGA RECTANGULAR MD-B
3.2 3.067 3.20 VIGA RECTANGULAR MD-BC
3.2 3.067 3.20 VIGA RECTANGULAR MD-C TRAMO EF
3.2 3.067 3.20 VIGA RECTANGULAR MD-CD APOYO E
3.2 3.067 3.20 VIGA RECTANGULAR MD-D APOYO F
3.2 3.067 3.20 VIGA RECTANGULAR MD-DE `
3.2 3.067 3.20 VIGA RECTANGULAR MD-E
3.2 3.067 3.20 VIGA RECTANGULAR MD-EF TRAMO EF
3.2 3.067 3.20 VIGA RECTANGULAR MD-F APOYO E
3.2 3.067 3.20 VIGA RECTANGULAR MD-FG APOYO F
TRAMO FG
ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)
ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]
APOYO F
TRAMO FG
APOYO F
TRAMO 3-4
TRAMO AB
APOYO B
TRAMO AB
APOYO B
TRAMO BC
APOYO B
APOYO C
`
TRAMO BC
APOYO B
APOYO C
TRAMO CD
APOYO C
APOYO D
`
TRAMO CD
APOYO C
APOYO D
TRAMO DE
APOYO D
APOYO E
`
TRAMO DE
APOYO D
APOYO E
TRAMO EF
APOYO E
APOYO F
`
TRAMO EF
APOYO E
APOYO F
TRAMO FG
APOYO F
TRAMO FG
APOYO F
TRAMO 2-3
TRAMO AB
APOYO B
TRAMO AB
APOYO B
TRAMO BC
APOYO B
TRAMO BC
APOYO B
TRAMO EF
APOYO F
TRAMO EF
APOYO F
TRAMO FG
APOYO F
TRAMO FG
APOYO F
TRAMO 1-2
TRAMO AB
APOYO B
TRAMO AB
APOYO B
TRAMO BC
APOYO B
APOYO C
`
TRAMO BC
APOYO B
APOYO C
TRAMO CD
APOYO C
APOYO D
`
TRAMO CD
APOYO C
APOYO D
TRAMO DE
APOYO D
APOYO E
`
TRAMO DE
APOYO D
APOYO E
TRAMO EF
APOYO E
APOYO F
`
TRAMO EF
APOYO E
APOYO F
TRAMO FG
APOYO F
TRAMO FG
APOYO F
TRAMO 0-1
TRAMO AB
APOYO B
TRAMO AB
APOYO B
TRAMO BC
APOYO B
APOYO C
`
TRAMO BC
APOYO B
APOYO C
TRAMO CD
APOYO C
APOYO D
`
TRAMO CD
APOYO C
APOYO D
TRAMO DE
APOYO D
APOYO E
`
TRAMO DE
APOYO D
APOYO E
TRAMO EF
APOYO E
APOYO F
`
TRAMO EF
APOYO E
APOYO F
TRAMO FG
APOYO F
TRAMO FG
APOYO F
ARMADURAS LONGITUDINALES
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
7.04 3.39 18.73 -11.68 CUMPLE -0.19 CUMPLE
15.130 2.26 12.36 2.77 ARMADURA EXTRA 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
5.85 3.39 18.75 -12.90 CUMPLE -0.19 CUMPLE
2.769 1.13 6.18 -3.41 CUMPLE -0.19 CUMPLE
15.216 1.13 6.18 9.04 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
6.38 3.39 18.74 -12.36 CUMPLE -0.19 CUMPLE
9.036 2.26 12.36 -3.32 CUMPLE -0.19 CUMPLE
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
9.73 3.39 18.66 -8.94 CUMPLE -0.19 CUMPLE15.853 2.26 12.35 3.50 ARMADURA EXTRA 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
0.94 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
7.54 3.39 18.71 -11.17 CUMPLE -0.19 CUMPLE
3.503 1.13 6.17 -2.67 CUMPLE -0.19 CUMPLE
13.056 1.13 6.20 6.86 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
6.18 3.39 18.74 -12.57 CUMPLE -0.19 CUMPLE
6.860 1.13 6.20 0.66 CUMPLE 0.94 CUMPLE
12.487 1.13 6.20 6.29 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
5.74 3.39 18.75 -13.02 CUMPLE -0.19 CUMPLE
6.286 1.13 6.20 0.09 CUMPLE 0.94 CUMPLE
12.451 1.13 6.20 6.25 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
6.00 3.39 18.75 -12.74 CUMPLE -0.19 CUMPLE
6.250 1.13 6.20 0.05 CUMPLE 0.94 CUMPLE
12.431 1.13 6.20 6.23 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
2.07 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
5.30 3.39 18.76 -13.47 CUMPLE -0.19 CUMPLE
6.230 2.26 12.40 -6.17 CUMPLE -0.19 CUMPLE
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
5.84 3.39 18.75 -12.91 CUMPLE -0.19 CUMPLE
11.147 2.26 12.42 -1.27 CUMPLE 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
4.74 3.39 18.78 -14.03 CUMPLE -0.19 CUMPLE
-1.275 1.13 6.21 -7.49 CUMPLE -0.19 CUMPLE
11.588 1.13 6.21 5.38 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
6.35 3.39 18.74 -12.39 CUMPLE -0.19 CUMPLE
5.381 1.13 6.21 -0.83 CUMPLE 0.94 CUMPLE
12.935 1.13 6.20 6.74 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
OBSERVACION OBSERVACION
8.83 3.39 18.68 -9.85 CUMPLE -0.19 CUMPLE
6.738 1.13 6.20 0.54 CUMPLE 0.94 CUMPLE
12.935 1.13 6.20 6.74 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
6.10 3.39 18.75 -12.65 CUMPLE -0.19 CUMPLE
6.738 1.13 6.20 0.54 CUMPLE 0.94 CUMPLE
11.478 1.13 6.21 5.27 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
4.73 3.39 18.78 -14.05 CUMPLE -0.19 CUMPLE
5.270 2.26 12.42 -7.15 CUMPLE -0.19 CUMPLE
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
4.93 3.39 18.77 -13.84 CUMPLE -0.19 CUMPLE
11.073 2.26 12.42 -1.35 CUMPLE 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
6.00 3.39 18.75 -12.74 CUMPLE -0.19 CUMPLE
-1.350 2.26 12.42 -13.77 CUMPLE -1.32 CUMPLE
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
5.06 3.39 18.77 -13.71 CUMPLE -0.19 CUMPLE
10.740 2.26 12.43 -1.69 CUMPLE 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
4.27 3.39 18.79 -14.51 CUMPLE -0.19 CUMPLE
-1.687 2.26 12.43 -14.11 CUMPLE -1.32 CUMPLE
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
3.20 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
3.52 3.39 18.80 -15.29 CUMPLE -0.19 CUMPLE
8.198 2.26 12.47 -4.27 CUMPLE 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
4.31 3.39 18.79 -14.47 CUMPLE -0.19 CUMPLE
-4.268 1.13 6.23 -10.50 CUMPLE -0.19 CUMPLE
9.034 1.13 6.23 2.81 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
5.63 3.39 18.76 -13.13 CUMPLE -0.19 CUMPLE
2.807 1.13 6.23 -3.42 CUMPLE 0.94 ARMADURA EXTRA
11.021 1.13 6.21 4.81 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
5.86 3.39 18.75 -12.89 CUMPLE -0.19 CUMPLE
4.809 1.13 6.21 -1.40 CUMPLE 0.94 ARMADURA EXTRA
9.701 1.13 6.22 3.48 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
4.29 3.39 18.79 -14.50 CUMPLE -0.19 CUMPLE
3.480 1.13 6.22 -2.74 CUMPLE 0.94 ARMADURA EXTRA
8.219 1.13 6.23 1.99 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
2.71 3.39 18.82 -16.11 CUMPLE -0.19 CUMPLE
1.986 2.26 12.47 -10.48 CUMPLE -0.19 CUMPLE
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 12 c / 68
3.20 12 1.131 2.00 34.00
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
OBSERVACION OBSERVACION
8.87 3.39 18.68 -9.82 CUMPLE -0.19 CUMPLE
14.552 2.26 12.37 2.18 ARMADURA EXTRA 0.94 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
0.94 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
6.87 3.39 18.73 -11.86 CUMPLE -0.19 CUMPLE
2.182 1.13 6.18 -4.00 CUMPLE -0.19 CUMPLE
12.652 1.13 6.20 6.45 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
5.18 3.39 18.77 -13.59 CUMPLE -0.19 CUMPLE
6.452 1.13 6.20 0.25 CUMPLE 0.94 CUMPLE
12.935 1.13 6.20 6.74 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
7.92 3.39 18.71 -10.79 CUMPLE -0.19 CUMPLE
6.738 1.13 6.20 0.54 CUMPLE 0.94 CUMPLE
15.671 1.13 6.18 9.49 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 1.00 34.00
3.20 12 1.131 1.00 34.00
OBSERVACION OBSERVACION
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
7.31 3.39 18.72 -11.41 CUMPLE -0.19 CUMPLE
9.494 1.13 6.18 3.32 CUMPLE 0.94 CUMPLE
16.622 1.13 6.17 10.45 ARMADURA EXTRA 2.07 ARMADURA EXTRA
3 φ 12 N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 33.33 34.00 1 φ 12
2.07 12 1.131 2.00 34.00
OBSERVACION OBSERVACION
7.21 3.39 18.72 -11.52 CUMPLE -0.19 CUMPLE
10.453 2.26 12.34 -1.89 CUMPLE -0.19 CUMPLE
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
2 φ 12
2 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
2 φ 12
2 φ 12
2 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
2 φ 12
1 φ 12
1 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
2 φ 12
12 c / 68
12 c / 68
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
2 φ 12
1 φ 12
1 φ 12
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
2 φ 12
2 φ 12
AS1 DOBLADO [cm2/m]
MOMENTOS COMPATIBILIZADOS
1 2 3
8.87
4
15.1
30
15.1
30
7.60
7
15.2
16
15.2
16
7.042 5.849
14.457 14.221
4 5 6 7 14.457 8 14.221 9
8.95
2
15.8
53
15.8
53
3.86
2
13.0
56
13.0
56
3.08
4
12.4
87
12.4
87
3.67
9
12.4
51
12.4
51
6.75
0
12.4
31
12.4
31
9.727 7.541 6.176 5.737 6.005
17.404 8.236 7.410 11.345 13.737
10 17.404 11 8.236 12 7.410 13 11.345 14 13.737 15
7.74
8
11.1
47
11.1
47
2.67
6
11.5
88
11.5
88
3.22
9
12.9
35
12.9
35
5.88
4
12.9
35
12.9
35
6.26
2
11.4
78
11.4
78
5.844 4.742 6.349 8.833 6.100
16.001 9.845 14.18816 16.001 17 9.845 18 14.188 19
7.66
0
11.0
73
11.0
73
6.64
0
10.0
02
10.7
40
10.7
40
4.928 6.004 5.058
14.675 9.845 14.188
20 14.675 21 9.845 22 23 24 14.188 25
4.41
5
8.19
8
8.19
8
4.73
5
9.03
4
9.03
4
3.77
8
11.0
21
11.0
21
6.42
4
9.70
1
9.70
1
4.94
2
8.21
9
8.21
9
3.518 4.313 5.628 5.864 4.289
15.979 8.165 7.463 11.899 12.45326 15.979 27 8.165 28 7.463 29 11.899 30 12.453 31
9.80
8
14.5
52
14.5
52
3.60
9
12.6
52
12.6
52
3.20
3
12.9
35
12.9
35
5.60
7
15.6
71
15.6
71
8.46
6
16.6
22
16.6
22
8.868 6.871 5.179 7.918 7.307
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMENPARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]
9.28 16666.67 RECUBRIMIENTO MECANICO r [cm]
2.00 347826.09 LONGITUD DESFAVORABLE
11.28 1.74 ALTURA h [cm]
13.92 1.67 LOSA
3.20 34.78 ALTURA UTIL d [cm]
12.1
48 17.12
6.380
22.202 CALCULO A FLEXION
22.202
8.28
9
MOMENTO [KN-m/m] μ α β z
5.295 MD-65 12.15 0.0285 0.0361 0.9856 15.7689 2.2148
MD-5 22.20 0.0520 0.0668 0.9733 15.5723 4.0990
19.935 MD-54 8.29 0.0194 0.0245 0.9902 15.8431 1.5041
19.935 MD-4 19.94 0.0467 0.0598 0.9761 15.6170 3.6699
MD-43 9.52 0.0223 0.0282 0.9887 15.8194 1.7305
9.52
2 MD-3 19.063 0.0447 0.0572 0.9771 15.6342 3.5054
MD-32 10.419 0.0244 0.0309 0.9876 15.8022 1.8957
4.730 MD-2 15.866 0.0372 0.0474 0.9810 15.6968 2.9061MD-21 3.682 0.0086 0.0108 0.9957 15.9307 0.6645
19.063 MD-1 21.620 0.0507 0.0650 0.9740 15.5838 3.988619.063 MD-10 13.656 0.0320 0.0407 0.9837 15.7397 2.4944
10.4
19 MD-65 7.607 0.0178 0.0225 0.9910 15.8561 1.3793
MD-5 14.221 0.0333 0.0424 0.9830 15.7288 2.5994
4.272 MD-54 6.750 0.0158 0.0199 0.9920 15.8724 1.2227
MD-4 13.737 0.0322 0.0409 0.9836 15.7382 2.509415.866 MD-43 6.262 0.0147 0.0185 0.9926 15.8817 1.1336
15.866 MD-3 14.188 0.0333 0.0423 0.9831 15.7294 2.5933
MD-32 10.002 0.0234 0.0297 0.9881 15.8102 1.8189
3.68
2 MD-2 14.188 0.0333 0.0423 0.9831 15.7294 2.5933MD-21 4.942 0.0116 0.0146 0.9942 15.9068 0.8932
2.709 MD-1 12.453 0.0292 0.0370 0.9852 15.7630 2.2713MD-10 8.466 0.0198 0.0251 0.9900 15.8396 1.5367
21.62021.620 MD-65 8.874 0.0208 0.0263 0.9895 15.8318 1.6115
MD-5 14.457 0.0339 0.0431 0.9828 15.7242 2.6433
13.6
56 MD-54 3.679 0.0086 0.0108 0.9957 15.9307 0.6640
MD-4 11.345 0.0266 0.0337 0.9865 15.7844 2.0665
7.205 MD-43 5.884 0.0138 0.0174 0.9931 15.8889 1.0647
MD-21 6.424 0.0151 0.0190 0.9924 15.8786 1.1632MD-1 11.899 0.0279 0.0354 0.9859 15.7737 2.1688
MD-10 5.607 0.0131 0.0165 0.9934 15.8942 1.0142
MD-54 3.084 0.0072 0.0091 0.9964 15.9420 0.5561
GK TOTAL [KN/m] fCD [KN/m2]
QK TOTAL [KN/m] fYD [KN/m2] LDES [m]
PK TOTAL [KN/m] εY [[0/00]]h = 1.30*LDES/40
GD TOTAL [KN/m] fCD [KN/cm2] hADOP [cm]
QD TOTAL [KN/m] fYD [KN/cm2]
PD TOTAL [KN/m]
AS1 [cm2/m]
MD-4 7.410 0.0174 0.0219 0.9912 15.8598 1.3432
MD-43 3.229 0.0076 0.0095 0.9962 15.9392 0.5824
MD-21 3.778 0.0089 0.0111 0.9956 15.9288 0.6819
MD-1 7.463 0.0175 0.0221 0.9912 15.8588 1.3529
MD-10 3.203 0.0075 0.0094 0.9962 15.9397 0.5776
MD-54 3.862 0.0091 0.0114 0.9955 15.9273 0.6971
MD-4 8.236 0.0193 0.0244 0.9903 15.8441 1.4945
MD-43 2.676 0.0063 0.0079 0.9969 15.9497 0.4823MD-3 9.8449 0.0231 0.0292 0.9883 15.8132 1.7899
MD-32 6.6397 0.0156 0.0196 0.9922 15.8745 1.2025MD-2 9.8449 0.0231 0.0292 0.9883 15.8132 1.7899
MD-21 4.7349 0.0111 0.0139 0.9944 15.9107 0.8556MD-1 8.1653 0.0191 0.0242 0.9903 15.8454 1.4815
MD-10 3.6089 0.0085 0.0106 0.9958 15.9320 0.6512
MD-54 8.952 0.0210 0.0265 0.9894 15.8304 1.6257MD-4 17.404 0.0408 0.0521 0.9792 15.6667 3.1938
MD-43 7.748 0.0182 0.0229 0.9908 15.8534 1.4050
MD-3 16.001 0.0375 0.0478 0.9809 15.6941 2.9312MD-32 7.660 0.0180 0.0226 0.9909 15.8551 1.3890MD-2 14.675 0.0344 0.0438 0.9825 15.7199 2.6839
MD-21 4.415 0.0103 0.0130 0.9948 15.9168 0.7974
MD-1 15.979 0.0375 0.0477 0.9809 15.6946 2.9270
MD-10 9.808 0.0230 0.0291 0.9884 15.8139 1.7831
ARMADURAS LONGITUDINALESTABLA RESUMEN TRAMO F-G
100
2
520 TRAMO 6-5
16.90 APOYO 5
18.00
16.00
TRAMO 6-5
APOYO 5
CUANTIA CUANTIA TRAMO 5-4GEOMETRICA MECANICA APOYO 5
APOYO 4
OBSERVACION MOMENTO `
3.2 3.067 3.20 VIGA RECTANGULAR MD-65
3.2 3.067 4.10 VIGA RECTANGULAR MD-5 TRAMO 5-4
3.2 3.067 3.20 VIGA RECTANGULAR MD-54 APOYO 5
3.2 3.067 3.67 VIGA RECTANGULAR MD-4 APOYO 4
3.2 3.067 3.20 VIGA RECTANGULAR MD-433.2 3.067 3.51 VIGA RECTANGULAR MD-3
3.2 3.067 3.20 VIGA RECTANGULAR MD-32
3.2 3.067 3.20 VIGA RECTANGULAR MD-2 TRAMO 4-33.2 3.067 3.20 VIGA RECTANGULAR MD-21 APOYO 43.2 3.067 3.99 VIGA RECTANGULAR MD-1 APOYO 33.2 3.067 3.20 VIGA RECTANGULAR MD-10 `
3.2 3.067 3.20 VIGA RECTANGULAR MD-65 TRAMO 4-3
3.2 3.067 3.20 VIGA RECTANGULAR MD-5 APOYO 4
3.2 3.067 3.20 VIGA RECTANGULAR MD-54 APOYO 3
3.2 3.067 3.20 VIGA RECTANGULAR MD-43.2 3.067 3.20 VIGA RECTANGULAR MD-43
3.2 3.067 3.20 VIGA RECTANGULAR MD-3
3.2 3.067 3.20 VIGA RECTANGULAR MD-32 TRAMO 3-2
3.2 3.067 3.20 VIGA RECTANGULAR MD-2 APOYO 33.2 3.067 3.20 VIGA RECTANGULAR MD-21 APOYO 23.2 3.067 3.20 VIGA RECTANGULAR MD-1 `3.2 3.067 3.20 VIGA RECTANGULAR MD-10
TRAMO 3-23.2 3.067 3.20 VIGA RECTANGULAR MD-65 APOYO 33.2 3.067 3.20 VIGA RECTANGULAR MD-5 APOYO 23.2 3.067 3.20 VIGA RECTANGULAR MD-54
3.2 3.067 3.20 VIGA RECTANGULAR MD-4
3.2 3.067 3.20 VIGA RECTANGULAR MD-43TRAMO 2-1
3.2 3.067 3.20 VIGA RECTANGULAR MD-21 APOYO 23.2 3.067 3.20 VIGA RECTANGULAR MD-1 APOYO 13.2 3.067 3.20 VIGA RECTANGULAR MD-10 `
3.2 3.067 3.20 VIGA RECTANGULAR MD-54 TRAMO 2-1
ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)
ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]
3.2 3.067 3.20 VIGA RECTANGULAR MD-4 APOYO 2
3.2 3.067 3.20 VIGA RECTANGULAR MD-43 APOYO 1
3.2 3.067 3.20 VIGA RECTANGULAR MD-21
3.2 3.067 3.20 VIGA RECTANGULAR MD-1
3.2 3.067 3.20 VIGA RECTANGULAR MD-10 TRAMO 1-0APOYO 1
3.2 3.067 3.20 VIGA RECTANGULAR MD-54
3.2 3.067 3.20 VIGA RECTANGULAR MD-4
3.2 3.067 3.20 VIGA RECTANGULAR MD-43 TRAMO 1-03.2 3.067 3.20 VIGA RECTANGULAR MD-3 APOYO 13.2 3.067 3.20 VIGA RECTANGULAR MD-323.2 3.067 3.20 VIGA RECTANGULAR MD-23.2 3.067 3.20 VIGA RECTANGULAR MD-21 TRAMO E-F3.2 3.067 3.20 VIGA RECTANGULAR MD-1
3.2 3.067 3.20 VIGA RECTANGULAR MD-10
TRAMO 6-53.2 3.067 3.20 VIGA RECTANGULAR MD-54 APOYO 53.2 3.067 3.20 VIGA RECTANGULAR MD-4
3.2 3.067 3.20 VIGA RECTANGULAR MD-43
3.2 3.067 3.20 VIGA RECTANGULAR MD-3 TRAMO 6-53.2 3.067 3.20 VIGA RECTANGULAR MD-32 APOYO 53.2 3.067 3.20 VIGA RECTANGULAR MD-23.2 3.067 3.20 VIGA RECTANGULAR MD-21
3.2 3.067 3.20 VIGA RECTANGULAR MD-1
3.2 3.067 3.20 VIGA RECTANGULAR MD-10 TRAMO 5-4APOYO 5APOYO 4
`
TRAMO 5-4APOYO 5APOYO 4
TRAMO 4-3APOYO 4APOYO 3
`
TRAMO 4-3APOYO 4APOYO 3
TRAMO 3-2APOYO 3APOYO 2
`
TRAMO 3-2APOYO 3APOYO 2
TRAMO 2-1APOYO 2APOYO 1
`
TRAMO 2-1APOYO 2APOYO 1
TRAMO 1-0APOYO 1
TRAMO 1-0APOYO 1
TRAMO D-E
TRAMO 6-5APOYO 5
TRAMO 6-5APOYO 5
TRAMO 5-4APOYO 5APOYO 4
`
TRAMO 5-4APOYO 5APOYO 4
TRAMO 4-3APOYO 4
TRAMO 4-3APOYO 4
TRAMO 2-1APOYO 1
TRAMO 2-1APOYO 1
TRAMO 1-0APOYO 1
TRAMO 1-0APOYO 1
TRAMO C-D
TRAMO 5-4APOYO 4
TRAMO 5-4APOYO 4
TRAMO 4-3
APOYO 4
TRAMO 4-3APOYO 4
TRAMO 2-1APOYO 1
TRAMO 2-1APOYO 1
TRAMO 1-0APOYO 1
TRAMO 1-0APOYO 1
TRAMO B-C
TRAMO 5-4
APOYO 4
TRAMO 5-4APOYO 4
TRAMO 4-3APOYO 4APOYO 3
`
TRAMO 4-3APOYO 4APOYO 3
TRAMO 3-2APOYO 3APOYO 2
`
TRAMO 3-2APOYO 3APOYO 2
TRAMO 2-1APOYO 2APOYO 1
`
TRAMO 2-1APOYO 2APOYO 1
TRAMO 1-0APOYO 1
TRAMO 1-0APOYO 1
TRAMO A-B
TRAMO 5-4APOYO 4
TRAMO 5-4APOYO 4
TRAMO 4-3APOYO 4APOYO 3
`
TRAMO 4-3APOYO 4APOYO 3
TRAMO 3-2APOYO 3APOYO 2
`
TRAMO 3-2APOYO 3APOYO 2
TRAMO 2-1APOYO 2APOYO 1
`
TRAMO 2-1APOYO 2APOYO 1
TRAMO 1-0APOYO 1
TRAMO 1-0APOYO 1
ARMADURAS LONGITUDINALES
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 12
4.10 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
12.15 3.39 18.61 -6.46 CUMPLE -0.19 CUMPLE
22.202 2.26 12.25 9.95 ARMADURA EXTRA 1.84 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 121.84 12 1.131 1.00 1 φ 12
3.67 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
8.29 3.39 18.70 -10.41 CUMPLE -0.19 CUMPLE
9.950 1.13 6.13 3.82 ARMADURA EXTRA 0.71 ARMADURA EXTRA
19.935 1.13 6.14 13.79 ARMADURA EXTRA 2.54 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.54 12 1.131 1.00 1 φ 123.51 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
9.52 3.39 18.67 -9.15 CUMPLE -0.19 CUMPLE
13.792 1.13 6.14 7.65 ARMADURA EXTRA 1.41 ARMADURA EXTRA
19.063 1.13 6.15 12.91 ARMADURA EXTRA 2.37 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 12
2.37 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION10.42 3.39 18.65 -8.23 CUMPLE -0.19 CUMPLE
12.912 1.13 6.15 6.76 ARMADURA EXTRA 1.24 ARMADURA EXTRA15.866 1.13 6.17 9.69 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.99 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
3.68 3.39 18.80 -15.12 CUMPLE -0.19 CUMPLE
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
NECESITA ASUPLES
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
NECESITA ASUPLES
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
NECESITA ASUPLES
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
9.692 1.13 6.17 3.52 ARMADURA EXTRA 0.94 ARMADURA EXTRA
21.620 1.13 6.13 15.49 ARMADURA EXTRA 2.86 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.54 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
13.66 3.39 18.58 -4.92 CUMPLE -0.19 CUMPLE13.792 2.26 12.26 1.53 CUMPLE 0.28 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
7.61 3.39 18.71 -11.11 CUMPLE -0.19 CUMPLE14.221 2.26 12.37 1.85 ARMADURA EXTRA 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
6.75 3.39 18.73 -11.98 CUMPLE -0.19 CUMPLE1.846 1.13 6.19 -4.34 CUMPLE -0.19 CUMPLE
13.737 1.13 6.19 7.55 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
6.26 3.39 18.74 -12.48 CUMPLE -0.19 CUMPLE7.545 1.13 6.19 1.35 CUMPLE 0.94 CUMPLE
14.188 1.13 6.19 8.00 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
10.00 3.39 18.66 -8.66 CUMPLE -0.19 CUMPLE8.001 1.13 6.19 1.81 CUMPLE 0.94 CUMPLE
14.188 1.13 6.19 8.00 ARMADURA EXTRA 2.07 ARMADURA EXTRA
NECESITA ASUPLES
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
4.94 3.39 18.77 -13.83 CUMPLE -0.19 CUMPLE8.001 1.13 6.19 1.81 CUMPLE 0.94 CUMPLE
12.453 1.13 6.20 6.25 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
8.47 3.39 18.69 -10.23 CUMPLE -0.19 CUMPLE7.545 2.26 12.40 -4.86 CUMPLE -0.19 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
8.87 3.39 18.68 -9.81 CUMPLE -0.19 CUMPLE14.457 2.26 12.37 2.09 ARMADURA EXTRA 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
3.68 3.39 18.80 -15.12 CUMPLE -0.19 CUMPLE2.086 1.13 6.19 -4.10 CUMPLE -0.19 CUMPLE
11.345 1.13 6.21 5.14 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
5.88 3.39 18.75 -12.87 CUMPLE -0.19 CUMPLE5.136 2.26 12.42 -7.28 CUMPLE -0.19 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
OBSERVACION OBSERVACION
6.42 3.39 18.74 -12.31 CUMPLE -0.19 CUMPLE11.899 2.26 12.41 -0.51 CUMPLE 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
5.61 3.39 18.76 -13.15 CUMPLE -0.19 CUMPLE-0.511 2.26 12.41 -12.92 CUMPLE -1.32 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.08 3.39 18.81 -15.73 CUMPLE -0.19 CUMPLE7.410 2.26 12.48 -5.07 CUMPLE 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 12
0.94 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.23 3.39 18.81 -15.58 CUMPLE -0.19 CUMPLE-5.068 2.26 12.48 -17.55 CUMPLE -1.32 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.78 3.39 18.80 -15.02 CUMPLE -0.19 CUMPLE7.46 2.26 12.48 -5.01 CUMPLE 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.20 3.39 18.81 -15.61 CUMPLE -0.19 CUMPLE-5.014 2.26 12.48 -17.49 CUMPLE -1.32 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 12
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
3.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.86 3.39 18.80 -14.93 CUMPLE -0.19 CUMPLE8.236 2.26 12.47 -4.23 CUMPLE 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
2.68 3.39 18.82 -16.15 CUMPLE -0.19 CUMPLE-4.230 1.13 6.23 -10.46 CUMPLE -0.19 CUMPLE9.845 1.13 6.22 3.62 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
6.64 3.39 18.73 -12.09 CUMPLE -0.19 CUMPLE3.624 1.13 6.22 -2.60 CUMPLE 0.94 CUMPLE9.845 1.13 6.22 3.62 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
4.73 3.39 18.78 -14.04 CUMPLE -0.19 CUMPLE3.624 1.13 6.22 -2.60 CUMPLE 0.94 CUMPLE8.165 1.13 6.23 1.93 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
3.61 3.39 18.80 -15.19 CUMPLE -0.19 CUMPLE-4.230 2.26 12.47 -16.70 CUMPLE -1.32 CUMPLE
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 123.20 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
8.95 3.39 18.68 -9.73 CUMPLE -0.19 CUMPLE17.404 2.26 12.33 5.08 ARMADURA EXTRA 0.94 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
7.75 3.39 18.71 -10.96 CUMPLE -0.19 CUMPLE5.078 1.13 6.16 -1.08 CUMPLE -0.19 CUMPLE
16.001 1.13 6.17 9.83 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
7.66 3.39 18.71 -11.05 CUMPLE -0.19 CUMPLE9.827 1.13 6.17 3.65 CUMPLE 0.94 CUMPLE
14.675 1.13 6.18 8.49 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 122.07 12 1.131 1.00 1 φ 123.20 12 1.131 1.00 1 φ 12
OBSERVACION OBSERVACION
4.41 3.39 18.78 -14.37 CUMPLE -0.19 CUMPLE8.491 1.13 6.18 2.31 CUMPLE 0.94 CUMPLE
15.979 1.13 6.17 9.80 ARMADURA EXTRA 2.07 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
3.20 12 1.131 2.83 3.00 1 φ 12 1 φ 120.94 12 1.131 2.00 1 φ 12
OBSERVACION OBSERVACION
9.81 3.39 18.66 -8.85 CUMPLE -0.19 CUMPLE5.078 2.26 12.35 -7.27 CUMPLE -1.32 CUMPLE
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m] A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO
APOYO F -0.68 8 0.503 -1.36 2.00 50.00
OBSERVACION
APOYO 5 3.82 1.01 5.45 -1.62 CUMPLE -1.69
CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO
APOYO F -0.39 8 0.503 -0.77 2.00 50.00
OBSERVACION
APOYO 4 7.65 1.01 5.46 2.19 ARMADURA EXTRA -1.39
CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m ESPACIAMIENTO [cm]φ CALCULADO ADOPTADO CALCULADO
APOYO F -0.15 8 0.503 -0.30 2.00 50.00
OBSERVACIONAPOYO 4 6.76 1.01 5.47 1.30 ARMADURA EXTRA -1.16
CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO
APOYO F -0.39 8 0.503 -0.78 2.00 50.00
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
OBSERVACION
APOYO 4 3.52 1.01 5.49 -1.97 CUMPLE -1.40
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
ESPACIAMIENTO [cm] CALCULO DE ARMADURA PARA SUPLES
ADOPTADO 3.20
50.00 2 8 por nervio 4.10 -0.68
3.67
OBSERVACION n 2
CUMPLE
ESPACIAMIENTO [cm] CALCULO DE ARMADURA PARA SUPLES
ADOPTADO 3.20
50.00 2 8 por nervio 3.67 -0.39
3.51
OBSERVACION n 2
CUMPLE
ESPACIAMIENTO [cm] CALCULO DE ARMADURA PARA SUPLESADOPTADO 3.20
50.00 2 8 por nervio 3.51 -0.153.20
OBSERVACION n 2CUMPLE
ESPACIAMIENTO [cm] CALCULO DE ARMADURA PARA SUPLES
ADOPTADO 3.20
50.00 2 8 por nervio 3.20 -0.39
AS1 RECTO [cm2/m] A5-4 [cm2]
A5 [cm2] ASUPLES [cm2]
A4 [cm2]
AS1 RECTO [cm2/m] A4-3 [cm2]
A4 [cm2] ASUPLES [cm2]
A3 [cm2]
AS1 RECTO [cm2/m] A3-2 [cm2]A3 [cm2] ASUPLES [cm2]A2 [cm2]
AS1 RECTO [cm2/m] A2-1 [cm2]
A2 [cm2] ASUPLES [cm2]
3.99
OBSERVACION n 2
CUMPLE
A1 [cm2]
PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUE
LOSA MACIZA EN UNA DIRECCION
8. VERIFICACION AL CORTE
RESUMEN DE CALCULOS PREVIOSTABLA RESUMEN TABLA RESUMEN TABLA RESUMEN
PARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE
9.28 16666.67 RECUBRIMIENTO MECANICO
2.00 347826.09 LONGITUD DESFAVORABLE
11.28 1.74 ALTURA
13.92 1.67 LOSA
3.20 34.78 ALTURA UTIL
17.12 25
● VERIFICACION DE ESFUERZO DE CORTE POR AGOTAMIENTO A COMPRESION DEL ALMA
Donde:
se obtiene del diagrama de corte 37.04
80
DONDE: 80 > 37.04 CUMPLE
● VERIFICACION DE LA NECESIDAD DE ARMADURA DE CORTE
Donde:
se obtiene del diagrama de corte 37.04
1.5
PARA ε
2.12
0.0200
Para este punto tomamos el mayor area de las armaduras de las losaspara considerar el caculo para el caso mas desfavorable, entonces:
TRAMO LOSA
FG 1 3.20
FINALMENTE
14.98
GK TOTAL [KN/m] fCD [KN/m2]
QK TOTAL [KN/m] fYD [KN/m2]
PK TOTAL [KN/m] εY [[0/00]]h = 1.30*LDES/40
GD TOTAL [KN/m] fCD [KN/cm2]
QD TOTAL [KN/m] fYD [KN/cm2]
PD TOTAL [KN/m] fCK [MPA]
VU1 > Vd1
Vd1 [KN]
PARA VU1 VU1 = 0.30*b0*d*fCD VU1 [KN]
VU1 > Vd1
VCU > Vd1
Vd1 [KN]
para el calculo de VCU previamente debemos calcular otra variables
PARA γC γC
ε = 1+(200/d[mm])0.5 ε
PARA ρ1 ρ1 = ASL/(b*d) ρ1
ASL [cm2]
PARA VCU VCU = (0.18/γC)*ε*(100*ρL*fCK)1/3*b0*d*1000 VCU [KN]
DONDE: 14.98 > 37.04 NO CUMPLE
Como cumple se demuestra que no se necesita armadura de corte
VCU > Vd1
CALCULO DE CORTANTES PARA LOSAS
LOSA ε
1 4 3.8 1.052 4.45 3.8 1.173 5.2 3.8 1.37
TABLA RESUMEN 4 4.2 4.15 1.01b [cm] 10 5 4.15 3.4 1.22
r [cm] 2 6 4.15 3.25 1.28
520 7 4.15 4 1.04
h [cm] 16.90 8 4.45 4.15 1.07
18.00 9 5.2 4.15 1.25
d [cm] 16.00 10 4.2 4 1.05
11 4 3.4 1.18
12 4 3.25 1.2313 4 4 1.0014 4.45 4 1.1115 5.2 4 1.30
16 4.2 3.9 1.08
17 3.9 3.4 1.15
18 4.45 3.9 1.14
19 5.2 3.9 1.33
20 4.2 3.4 1.24
21 3.4 3.4 1.0022 3.4 3.25 1.05
23 4 3.4 1.18
24 4.45 3.4 1.3125 5.2 3.4 1.5326 4.2 4 1.05
27 4 3.4 1.18
28 4 3.25 1.23
29 4 4 1.00
30 4.45 4 1.11
31 5.2 4 1.30
LY [m] LX [m]
LDES [m]
hADOP [cm]
COEFICIENTES DE LAS TABLAS CORTANTES EMPOTRADOS
K [KN] TABLA ξxe ξxr ξye ξyr Vxe [KN]
1.05 260.224 4 1.04 0.55 1.06 0.57 33.8291.15 289.499 5b 1.02 1.03 0.55 33.1791.35 338.291 4 1.08 0.57 1.2 0.66 35.1301.00 298.402 4 1.02 0.55 1.02 0.55 36.2341.20 241.563 5a 0.96 0.49 1.03 27.940
1.30 230.906 5a 0.95 0.48 1.04 26.429
1.05 284.192 6 0.91 0.93 31.158
1.05 316.164 6 0.91 0.93 32.327
1.25 369.450 5a 0.96 0.49 1.03 34.103
1.05 287.616 5a 0.93 0.49 0.97 31.843
1.20 232.832 6 0.94 0.99 27.358
1.25 222.560 5a 0.96 0.49 1.03 26.7071.00 273.920 5a 0.91 0.49 0.95 31.1581.10 304.736 6 0.93 0.95 31.8431.30 356.096 5a 0.95 0.48 1.04 32.528
1.10 280.426 5a 0.95 0.49 0.99 31.715
1.15 227.011 5b 1.02 1.03 0.55 29.686
1.15 297.118 5a 0.96 0.49 1.01 32.049
1.35 347.194 5a 0.95 0.48 1.04 31.715
1.25 244.474 5a 0.96 0.49 1.03 27.940
1.00 197.907 6 0.89 0.9 25.9031.05 189.176 5a 0.93 0.49 0.97 25.873
1.20 232.832 5b 1.04 1.06 0.57 30.268
1.30 259.026 6 0.95 1.02 27.6491.55 302.682 5a 0.9 0.48 1.03 26.1941.05 287.616 4 1.04 0.55 1.06 0.57 35.610
1.20 232.832 5a 0.96 0.49 1.03 27.940
1.25 222.560 5a 0.96 0.49 1.03 26.707
1.00 273.920 5a 0.91 0.49 0.95 31.158
1.10 304.736 5b 1 0.99 0.53 34.240
1.30 356.096 4 1.08 0.57 1.18 0.65 36.979
εADOPTADO
VERIFICACION POR CORTE
CORTANTES EMPOTRADOS CORTANTES APOYADOS DE DERECHA A IZQUIERDA
Vye [KN] Vxr [KN] Vyr [KN] SECCION OBS
34.480 17.890 18.541 APOYO D 17.890 80 CUMPLE 2.1233.504 17.890 APOYO E 33.829 80 CUMPLE 2.1239.034 18.541 21.468 APOYO F 35.130 80 CUMPLE 2.1236.234 19.538 19.538 APOYO G 18.541 80 CUMPLE 2.1229.977 14.261
28.933 13.354 APOYO A 19.538 80 CUMPLE 2.12
31.843 APOYO B 36.234 80 CUMPLE 2.12
33.037 APOYO C 29.977 80 CUMPLE 2.12
36.590 17.407 APOYO D 31.843 80 CUMPLE 2.12
33.213 16.778 APOYO E 32.327 80 CUMPLE 2.12
28.813 APOYO F 34.103 80 CUMPLE 2.12
28.655 13.632 APOYO G 17.407 80 CUMPLE 2.1232.528 16.77832.528 APOYO A 16.778 80 CUMPLE 2.1235.610 16.435 APOYO B 31.843 80 CUMPLE 2.12
33.050 16.358 APOYO C 28.813 80 CUMPLE 2.12
29.977 16.007 APOYO D 32.528 80 CUMPLE 2.12
33.718 16.358 APOYO E 32.528 80 CUMPLE 2.12
34.719 16.024 APOYO F 32.528 80 CUMPLE 2.12
29.977 14.261 APOYO G 16.435 80 CUMPLE 2.12
26.19426.985 13.632 APOYO A 16.358 80 CUMPLE 2.12
30.850 16.589 APOYO B 31.715 80 CUMPLE 2.12
29.686 APOYO C 16.007 80 CUMPLE 2.1229.977 13.970 APOYO E 16.358 80 CUMPLE 2.1236.294 18.832 19.517 APOYO F 32.049 80 CUMPLE 2.12
29.977 14.261 APOYO G 16.024 80 CUMPLE 2.12
28.655 13.632
32.528 16.778 APOYO A 14.261 80 CUMPLE 2.12
33.898 18.147 APOYO B 27.940 80 CUMPLE 2.12
40.403 19.517 22.256 APOYO C 26.985 80 CUMPLE 2.12
APOYO D 30.268 80 CUMPLE 2.12APOYO E 30.268 80 CUMPLE 2.12APOYO F 27.649 80 CUMPLE 2.12
APOYO G 13.970 80 CUMPLE 2.12
APOYO A 18.832 80 CUMPLE 2.12
APOYO B 35.610 80 CUMPLE 2.12
APOYO C 29.977 80 CUMPLE 2.12APOYO D 32.528 80 CUMPLE 2.12APOYO E 34.240 80 CUMPLE 2.12APOYO F 36.979 80 CUMPLE 2.12APOYO G 19.517 80 CUMPLE 2.12
VERIFICACION POR CORTE
DE ARRIBA HACIA ABAJO
SECCION OBS
APOYO 6 21.468 80 CUMPLE 2.12
VU1 > Vd1
Vd1 [KN] VU1 [KN] ε
VU1 > Vd1
Vd1 [KN] VU1 [KN] ε
APOYO 5 39.034 80 CUMPLE 2.12
APOYO 4 36.590 80 CUMPLE 2.12
APOYO 3 35.610 80 CUMPLE 2.12APOYO 2 34.719 80 CUMPLE 2.12APOYO 1 40.403 80 CUMPLE 2.12APOYO 0 22.256 80 CUMPLE 2.12
APOYO 6 17.890 80 CUMPLE 2.12APOYO 5 33.504 80 CUMPLE 2.12APOYO 4 33.037 80 CUMPLE 2.12APOYO 3 33.718 80 CUMPLE 2.12APOYO 2 33.718 80 CUMPLE 2.12APOYO 1 33.898 80 CUMPLE 2.12APOYO 0 18.147 80 CUMPLE 2.12
APOYO 6 18.541 80 CUMPLE 2.12APOYO 5 34.480 80 CUMPLE 2.12APOYO 4 31.158 80 CUMPLE 2.12APOYO 3 16.778 80 CUMPLE 2.12APOYO 2 16.589 80 CUMPLE 2.12APOYO 1 31.158 80 CUMPLE 2.12APOYO 0 16.778 80 CUMPLE 2.12
APOYO 5 13.354 80 CUMPLE 2.12APOYO 4 26.707 80 CUMPLE 2.12APOYO 3 13.632 80 CUMPLE 2.12APOYO 2 13.632 80 CUMPLE 2.12APOYO 1 26.707 80 CUMPLE 2.12APOYO 0 13.632 80 CUMPLE 2.12
APOYO 5 14.261 80 CUMPLE 2.12APOYO 4 27.940 80 CUMPLE 2.12APOYO 3 29.686 80 CUMPLE 2.12APOYO 2 29.686 80 CUMPLE 2.12APOYO 1 27.940 80 CUMPLE 2.12APOYO 0 14.261 80 CUMPLE 2.12
APOYO 5 19.538 80 CUMPLE 2.12APOYO 4 36.234 80 CUMPLE 2.12APOYO 3 33.213 80 CUMPLE 2.12APOYO 2 33.050 80 CUMPLE 2.12APOYO 1 36.294 80 CUMPLE 2.12APOYO 0 19.517 80 CUMPLE 2.12
ESFUERZO REAL PARA EL ACERO
DISEÑO
OBS VERIFICACIÓN
3.20 0.02 14.982 NO CUMPLE 4.8 2.909 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 18.848 CON VSU1 18.8483.20 0.02 14.982 NO CUMPLE 4.8 20.149 CON VSU1 20.1493.20 0.02 14.982 NO CUMPLE 4.8 3.559 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 4.557 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 21.253 CON VSU1 21.253
3.20 0.02 14.982 NO CUMPLE 4.8 14.996 CON VSU1 14.996
3.20 0.02 14.982 NO CUMPLE 4.8 16.862 CON VSU1 16.862
3.20 0.02 14.982 NO CUMPLE 4.8 17.345 CON VSU1 17.345
3.20 0.02 14.982 NO CUMPLE 4.8 19.121 CON VSU1 19.121
3.20 0.02 14.982 NO CUMPLE 4.8 2.425 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 1.796 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 16.862 CON VSU1 16.862
3.20 0.02 14.982 NO CUMPLE 4.8 13.831 CON VSU1 13.831
3.20 0.02 14.982 NO CUMPLE 4.8 17.546 CON VSU1 17.546
3.20 0.02 14.982 NO CUMPLE 4.8 17.546 CON VSU1 17.546
3.20 0.02 14.982 NO CUMPLE 4.8 17.546 CON VSU1 17.546
3.20 0.02 14.982 NO CUMPLE 4.8 1.454 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 1.377 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 16.733 CON VSU1 16.733
3.20 0.02 14.982 NO CUMPLE 4.8 1.026 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 1.377 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 17.067 CON VSU1 17.067
3.20 0.02 14.982 NO CUMPLE 4.8 1.043 CONVSU MIN 4.800
3.20 0.02 14.982 CUMPLE 4.8 -0.721 SOLO CON VCU 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 12.958 CON VSU1 12.958
3.20 0.02 14.982 NO CUMPLE 4.8 12.004 CON VSU1 12.004
3.20 0.02 14.982 NO CUMPLE 4.8 15.287 CON VSU1 15.2873.20 0.02 14.982 NO CUMPLE 4.8 15.287 CON VSU1 15.2873.20 0.02 14.982 NO CUMPLE 4.8 12.667 CON VSU1 12.667
3.20 0.02 14.982 CUMPLE 4.8 -1.012 SOLO CON VCU 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 3.850 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 20.628 CON VSU1 20.628
3.20 0.02 14.982 NO CUMPLE 4.8 14.996 CON VSU1 14.9963.20 0.02 14.982 NO CUMPLE 4.8 17.546 CON VSU1 17.5463.20 0.02 14.982 NO CUMPLE 4.8 19.258 CON VSU1 19.2583.20 0.02 14.982 NO CUMPLE 4.8 21.998 CON VSU1 21.9983.20 0.02 14.982 NO CUMPLE 4.8 4.535 CONVSU MIN 4.800
ESFUERZO REAL PARA EL ACERO
DISEÑO
OBS VERIFICACIÓN
3.20 0.020 14.982 NO CUMPLE 4.8 6.487 CON VSU1 6.487
VCU > Vd1 VSU MIN=0.018*fCD*b*d VSU1 =VD1-VCU VSU2 > VSU MIN
ASL [cm2] ρ1 VCU [KN] VSU MIN [KN] VSU1 [KN] VS ADOP [KN]
VCU > Vd1 VSU MIN=0.018*fCD*b*d VSU1 =VD1-VCU VSU2 > VSU MIN
ASL [cm2] ρ1 VCU [KN] VSU MIN [KN] VSU1 [KN] VS ADOP [KN]
4.10 0.026 16.270 NO CUMPLE 4.8 22.763 CON VSU1 22.763
3.67 0.023 15.682 NO CUMPLE 4.8 20.908 CON VSU1 20.908
3.51 0.022 15.444 NO CUMPLE 4.8 20.166 CON VSU1 20.1663.20 0.020 14.982 NO CUMPLE 4.8 19.738 CON VSU1 19.7383.99 0.025 16.123 NO CUMPLE 4.8 24.280 CON VSU1 24.2803.20 0.02 14.982 NO CUMPLE 4.8 7.274 CON VSU1 7.274
3.20 0.02 14.982 NO CUMPLE 4.8 2.909 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 18.522 CON VSU1 18.5223.20 0.02 14.982 NO CUMPLE 4.8 18.056 CON VSU1 18.0563.20 0.02 14.982 NO CUMPLE 4.8 18.736 CON VSU1 18.7363.20 0.02 14.982 NO CUMPLE 4.8 18.736 CON VSU1 18.7363.20 0.02 14.982 NO CUMPLE 4.8 18.916 CON VSU1 18.9163.20 0.02 14.982 NO CUMPLE 4.8 3.166 CONVSU MIN 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 3.559 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 19.498 CON VSU1 19.4983.20 0.02 14.982 NO CUMPLE 4.8 16.177 CON VSU1 16.1773.20 0.02 14.982 NO CUMPLE 4.8 1.796 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 1.608 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 16.177 CON VSU1 16.1773.20 0.02 14.982 NO CUMPLE 4.8 1.796 CONVSU MIN 4.800
3.20 0.02 14.982 CUMPLE 4.8 -1.628 SOLO CON VCU 4.8003.20 0.02 14.982 NO CUMPLE 4.8 11.726 CON VSU1 11.7263.20 0.02 14.982 CUMPLE 4.8 -1.350 SOLO CON VCU 4.8003.20 0.02 14.982 CUMPLE 4.8 -1.350 SOLO CON VCU 4.8003.20 0.02 14.982 NO CUMPLE 4.8 11.726 CON VSU1 11.7263.20 0.02 14.982 CUMPLE 4.8 -1.350 SOLO CON VCU 4.800
3.20 0.02 14.982 CUMPLE 4.8 -0.721 SOLO CON VCU 4.8003.20 0.02 14.982 NO CUMPLE 4.8 12.958 CON VSU1 12.9583.20 0.02 14.982 NO CUMPLE 4.8 14.705 CON VSU1 14.7053.20 0.02 14.982 NO CUMPLE 4.8 14.705 CON VSU1 14.7053.20 0.02 14.982 NO CUMPLE 4.8 12.958 CON VSU1 12.9583.20 0.02 14.982 CUMPLE 4.8 -0.721 SOLO CON VCU 4.800
3.20 0.02 14.982 NO CUMPLE 4.8 4.557 CONVSU MIN 4.8003.20 0.02 14.982 NO CUMPLE 4.8 21.253 CON VSU1 21.2533.20 0.02 14.982 NO CUMPLE 4.8 18.231 CON VSU1 18.2313.20 0.02 14.982 NO CUMPLE 4.8 18.069 CON VSU1 18.0693.20 0.02 14.982 NO CUMPLE 4.8 21.313 CON VSU1 21.3133.20 0.02 14.982 NO CUMPLE 4.8 4.535 CONVSU MIN 4.800
400 VD2 CASO
SECCION SECCION A
APOYO D 400000.000 40 0.008333 APOYO D 17.890 16 53.33APOYO E 400000.000 40 0.032721 APOYO E 33.829 16 53.33APOYO F 400000.000 40 0.034980 APOYO F 35.130 16 53.33APOYO G 400000.000 40 0.008333 APOYO G 18.541 16 53.33
APOYO A 400000.000 40 0.008333 APOYO A 19.538 16 53.33
APOYO B 400000.000 40 0.036897 APOYO B 36.234 16 53.33
APOYO C 400000.000 40 0.026034 APOYO C 29.977 16 53.33
APOYO D 400000.000 40 0.029274 APOYO D 31.843 16 53.33
APOYO E 400000.000 40 0.030113 APOYO E 32.327 16 53.33
APOYO F 400000.000 40 0.033197 APOYO F 34.103 16 53.33
APOYO G 400000.000 40 0.008333 APOYO G 17.407 16 53.33
APOYO A 400000.000 40 0.008333 APOYO A 16.778 16 53.33APOYO B 400000.000 40 0.029274 APOYO B 31.843 16 53.33
APOYO C 400000.000 40 0.024013 APOYO C 28.813 16 53.33
APOYO D 400000.000 40 0.030463 APOYO D 32.528 16 53.33
APOYO E 400000.000 40 0.030463 APOYO E 32.528 16 53.33
APOYO F 400000.000 40 0.030463 APOYO F 32.528 16 53.33
APOYO G 400000.000 40 0.008333 APOYO G 16.435 16 53.33
APOYO A 400000.000 40 0.008333 APOYO A 16.358 16 53.33
APOYO B 400000.000 40 0.029051 APOYO B 31.715 16 53.33
APOYO C 400000.000 40 0.008333 APOYO C 16.007 16 53.33APOYO E 400000.000 40 0.008333 APOYO E 16.358 16 53.33APOYO F 400000.000 40 0.029630 APOYO F 32.049 16 53.33
APOYO G 400000.000 40 0.008333 APOYO G 16.024 16 53.33
APOYO A 400000.000 40 0.008333 APOYO A 14.261 16 53.33 ESTE CASO St<=60
APOYO B 400000.000 40 0.022497 APOYO B 27.940 16 53.33
APOYO C 400000.000 40 0.020840 APOYO C 26.985 16 53.33
APOYO D 400000.000 40 0.026539 APOYO D 30.268 16 53.33APOYO E 400000.000 40 0.026539 APOYO E 30.268 16 53.33APOYO F 400000.000 40 0.021992 APOYO F 27.649 16 53.33
APOYO G 400000.000 40 0.008333 APOYO G 13.970 16 53.33 ESTE CASO St<=60
APOYO A 400000.000 40 0.008333 APOYO A 18.832 16 53.33
APOYO B 400000.000 40 0.035813 APOYO B 35.610 16 53.33
APOYO C 400000.000 40 0.026034 APOYO C 29.977 16 53.33APOYO D 400000.000 40 0.030463 APOYO D 32.528 16 53.33APOYO E 400000.000 40 0.033435 APOYO E 34.240 16 53.33APOYO F 400000.000 40 0.038190 APOYO F 36.979 16 53.33APOYO G 400000.000 40 0.008333 APOYO G 19.517 16 53.33
400 VD2 CASO
SECCION SECCION A
APOYO 6 400000.000 40 0.011262 APOYO 6 21.468 16 53.333333
CALCULO DE AST/ST
fY90D [MPA] AST/ST =VS ADOP/(0.9*d*fY90D)
fY90D [KN/m2] fY90D [KN/cm2] AST/ST [cm2/cm] VRD [KN] 1/5*VU1 2/3*VU1
CALCULO DE AST/ST
fY90D [MPA] AST/ST =VS ADOP/(0.9*d*fY90D)
fY90D [KN/m2] fY90D [KN/cm2] AST/ST [cm2/cm] VRD [KN] 1/5*VU1 2/3*VU1
APOYO 5 400000.000 40 0.039519 APOYO 5 39.034 16 53.333333
APOYO 4 400000.000 40 0.036299 APOYO 4 36.590 16 53.333333
APOYO 3 400000.000 40 0.035010 APOYO 3 35.610 16 53.333333APOYO 2 400000.000 40 0.034267 APOYO 2 34.719 16 53.333333APOYO 1 400000.000 40 0.042153 APOYO 1 40.403 16 53.333333APOYO 0 400000.000 40 0.012629 APOYO 0 22.256 16 53.333333
APOYO 6 400000.000 40 0.008333 APOYO 6 17.890 16 53.333333APOYO 5 400000.000 40 0.032157 APOYO 5 33.504 16 53.333333APOYO 4 400000.000 40 0.031347 APOYO 4 33.037 16 53.333333APOYO 3 400000.000 40 0.032528 APOYO 3 33.718 16 53.333333APOYO 2 400000.000 40 0.032528 APOYO 2 33.718 16 53.333333APOYO 1 400000.000 40 0.032840 APOYO 1 33.898 16 53.333333APOYO 0 400000.000 40 0.008333 APOYO 0 18.147 16 53.333333
APOYO 6 400000.000 40 0.008333 APOYO 6 18.541 16 53.333333APOYO 5 400000.000 40 0.033851 APOYO 5 34.480 16 53.333333APOYO 4 400000.000 40 0.028085 APOYO 4 31.158 16 53.333333APOYO 3 400000.000 40 0.008333 APOYO 3 16.778 16 53.333333APOYO 2 400000.000 40 0.008333 APOYO 2 16.589 16 53.333333APOYO 1 400000.000 40 0.028085 APOYO 1 31.158 16 53.333333APOYO 0 400000.000 40 0.008333 APOYO 0 16.778 16 53.333333
APOYO 5 400000.000 40 0.008333 APOYO 5 13.354 16 53.333333 ESTE CASO St<=60
APOYO 4 400000.000 40 0.020357 APOYO 4 26.707 16 53.333333APOYO 3 400000.000 40 0.008333 APOYO 3 13.632 16 53.333333 ESTE CASO St<=60
APOYO 2 400000.000 40 0.008333 APOYO 2 13.632 16 53.333333 ESTE CASO St<=60
APOYO 1 400000.000 40 0.020357 APOYO 1 26.707 16 53.333333APOYO 0 400000.000 40 0.008333 APOYO 0 13.632 16 53.333333 ESTE CASO St<=60
APOYO 5 400000.000 40 0.008333 APOYO 5 14.261 16 53.333333 ESTE CASO St<=60
APOYO 4 400000.000 40 0.022497 APOYO 4 27.940 16 53.333333APOYO 3 400000.000 40 0.025529 APOYO 3 29.686 16 53.333333APOYO 2 400000.000 40 0.025529 APOYO 2 29.686 16 53.333333APOYO 1 400000.000 40 0.022497 APOYO 1 27.940 16 53.333333APOYO 0 400000.000 40 0.008333 APOYO 0 14.261 16 53.333333 ESTE CASO St<=60
APOYO 5 400000.000 40 0.008333 APOYO 5 19.538 16 53.333333APOYO 4 400000.000 40 0.036897 APOYO 4 36.234 16 53.333333APOYO 3 400000.000 40 0.031651 APOYO 3 33.213 16 53.333333APOYO 2 400000.000 40 0.031369 APOYO 2 33.050 16 53.333333APOYO 1 400000.000 40 0.037001 APOYO 1 36.294 16 53.333333APOYO 0 400000.000 40 0.008333 APOYO 0 19.517 16 53.333333
CASO
B C SECCION # BARRAS φ [mm]
ESTE CASO St<=45 0.096 0.08 APOYO D 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO E 0.26177145 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO F 0.27984256 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO G 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO A 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO B 0.29517923 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO C 0.20827145 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO D 0.23418923 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO E 0.24090645 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO F 0.26557590 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO G 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO A 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO B 0.23418923 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO C 0.19210256 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO D 0.24370034 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO E 0.24370034 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO F 0.24370034 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO G 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO A 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO B 0.23240590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO C 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO E 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO F 0.23704256 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO G 0.06666667 2 6 0.565
0.12 0.1 APOYO A 0.08333333 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO B 0.17997590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO C 0.16671978 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO D 0.21231367 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO E 0.21231367 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO F 0.17593367 2 6 0.565
0.12 0.1 APOYO G 0.08333333 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO A 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO B 0.28650034 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO C 0.20827145 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO D 0.24370034 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO E 0.26747812 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO F 0.30552256 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO G 0.06666667 2 6 0.565
CASO
B C SECCION # BARRAS φ [mm]
ESTE CASO St<=45 0.096 0.08 APOYO 6 0.09009590 2 6 0.565
STCALC=0.6*d*(1+ctg(α)) AST=STADOP*(AST/ST)
STCALC [m] STADOP [m] AST [cm2] A [cm2]
STCALC=0.6*d*(1+ctg(α)) AST=STADOP*(AST/ST)
STCALC [m] STADOP [m] AST [cm2] A [cm2]
ESTE CASO St<=45 0.096 0.08 APOYO 5 0.31615482 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO 4 0.29038879 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 3 0.28008006 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 2 0.27413590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 1 0.33722371 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 0 0.10103367 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO 6 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 5 0.25725367 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 4 0.25077423 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 3 0.26022590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 2 0.26022590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 1 0.26272256 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 0 0.06666667 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO 6 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 5 0.27080701 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 4 0.22467812 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 3 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 2 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 1 0.22467812 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 0 0.06666667 2 6 0.565
0.12 0.1 APOYO 5 0.08333333 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 4 0.16285590 2 6 0.565
0.12 0.1 APOYO 3 0.08333333 2 6 0.5650.12 0.1 APOYO 2 0.08333333 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO 1 0.16285590 2 6 0.5650.12 0.1 APOYO 0 0.08333333 2 6 0.565
0.12 0.1 APOYO 5 0.08333333 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 4 0.17997590 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 3 0.20422923 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 2 0.20422923 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 1 0.17997590 2 6 0.565
0.12 0.1 APOYO 0 0.08333333 2 6 0.565
ESTE CASO St<=45 0.096 0.08 APOYO 5 0.06666667 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 4 0.29517923 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 3 0.25321145 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 2 0.25095256 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 1 0.29601145 2 6 0.565ESTE CASO St<=45 0.096 0.08 APOYO 0 0.06666667 2 6 0.565
VERIFICACIÓN ESTRIBOS A USAR
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8 4 19.538 5 14.261 6 13.354
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
19.5
38
36.2
34
29.9
77
29.9
77
28.9
33
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 836.234 27.940 26.429
CUMPLE E φ 6 / 8 10 33.213 11 27.358 12 26.707CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
16.7
78
31.8
43
28.8
13
28.8
13
28.6
55
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8 33.213 27.358 13.632
16 33.050 17 29.686CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
16.3
58
31.7
15
29.9
77
16.0
07
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8 33.050 29.686
20 29.977 21 26.194 22 13.632
CUMPLE E φ 6 / 10
CUMPLE E φ 6 / 8
14.2
61
27.9
40
25.9
03
25.9
03
26.9
85CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8 29.977 26.194 25.873
CUMPLE E φ 6 / 10 26 36.294 27 27.940 28 26.707
CUMPLE E φ 6 / 8
18.8
32
35.6
10
29.9
77
29.9
77
28.6
55
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8 19.517 14.261 13.632CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
VERIFICACIÓN ESTRIBOS A USAR
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
CUMPLE E φ 6 / 10CUMPLE E φ 6 / 8CUMPLE E φ 6 / 10CUMPLE E φ 6 / 10CUMPLE E φ 6 / 8CUMPLE E φ 6 / 10
CUMPLE E φ 6 / 10CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 10
CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8CUMPLE E φ 6 / 8
1 18.541 2 17.890 3 21.468
17.8
90
33.8
29
33.1
79
33.1
79
35.1
30
18.5
41
34.480 33.504 39.034
7 31.158 8 33.037 9 36.590
28.9
33
31.8
43
31.8
43
32.3
27
32.3
27
34.1
03
17.4
07
31.158 33.037 36.59013 31.158 14 32.528 15 35.610
28.6
55
32.5
28
32.5
28
31.8
43
31.8
43
32.5
28
16.4
3516.778 32.528 35.610
18 33.718 19 34.719
16.3
58
32.0
49
31.7
15
16.0
24
33.718 34.719
23 16.589 24 29.686 25 29.977
26.9
85
30.2
68
30.2
68
27.6
49
27.6
49
26.1
94
13.9
70
30.850 29.686 29.977
29 31.158 30 33.898 31 40.403
28.6
55
32.5
28
32.5
28
34.2
40
34.2
40
36.9
79
19.5
17
16.778 18.147 22.256
PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUELOSA MACIZA EN UNA DIRECCION
6. ESTADO LIMITE DE FISURACION
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMENPARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE
9.28 16666.67 RECUBRIMIENTO
2.00 347826.09 LONGITUD DESFAVORABLE
11.28 1.74 ALTURA
13.92 1.67 LOSA
3.20 34.78 ALTURA UTIL
17.12 ANCHO EFICAZ
Para esta verificacion de estado limite de fisuracion se tomara en cuenta la longitud del tramo mas largo para el analisisy se la tomara como una viga plana, ya que este seria el caso mas desfavorable, si cumple para este cumplira para las demas longitudes de tramos
TRAMO DE ANALISIS Se considerara para el analisis una viga de las siguientes dmensiones:
b [cm]h [cm]r [cm]d [cm]
MATERIALESHORMIGÓN H - 25
ACERO B - 400 - S25
400
CARGAS
11.28
17.12
LONGITUDESTRAMO L [m]
FG 0.00
ARMADURAS DE REFUERZOARMADURA FINAL
ADOPTADA
n barras
2.5343 3.20 7
VERIFICACION EN ESTADO LIMITE DE FISURACION
GK TOTAL [KN/m] fCD [KN/m2]
QK TOTAL [KN/m] fYD [KN/m2]
PK TOTAL [KN/m] εY [[0/00]]
GD TOTAL [KN/m] fCD [KN/cm2]
QD TOTAL [KN/m] fYD [KN/cm2]
PD TOTAL [KN/m]
RESISTENCIA CARACTERISTICA DEL H° fCK [MPA]
RESISTENCIA CARACTERISTICA DEL A° fYK [MPA]
PK LOSA [KN/m]
PD LOSA [KN/m]
AS1 [cm2] AS ADOP [cm2]
g,q
5.20
As1
b
h
33 27264.04
● COEFICIENTE DE HOMOGENEIZACION n
7.336
● AREA DE LA SECCION BRUTA
360
● AREA DE LA SECCION HOMOGENEIZADA
380.274142409929
9.37320180638661
10610.3279003098
● MODULO RESISTENTE DE LA SECCION HOMOGENEIZADA
1229.92652223682
● RESISTENCIA A FLEXOTRACCION
2.56496392001504
● MOMENTO DE FISURACION
4.48
● PARA EL ANCHO DE FISURASDE TABLAS β 1.7
PARA Sm
pero necesitamos previamente ciertos parametros que calcularemos a continuacion:
PARA c c [cm]
1.5
PARA s s [cm]1.66666666666667
DE TABLAS 0.125
160
ahora con estos valores ya podemos calcular Sm
● MODULO DE DEFORMACION LONGITUDINAL SECANTE A 28 [dias]
FCM = FCK+8 FCM [Mpa] EC=8500*((FCM)1/3) EC [Mpa]
n = ES/EC = σS/σC
ABRUTA = b*h ABRUTA [cm2]
AHOM = ABRUTA + (n-1)(AS1+AS2') AHOM [cm2]
● PROFUNDIDAD DEL C.G. DE LA SECCION HOMOGENEIZADA
XHOM = ((ABRUTA*(h/2))+((n-1)(AS1*d+AS2'*d1)))/(ABRUTA+((n-1)*(AS1+AS2'))) XHOM [cm]
● MOMENTO DE INERCIA DE LA SECCION HOMOGENEIZADA
IHOM = (b*h3/12)+((n-1)*((AS1)*((d-XH)^2))) IHOM [cm4]
ωH = IHOM/(h-XHOM) ωH [cm3]
Fct,m = 0.3*(fck)2/3 Fct,m [MPA] Fct,fl = (1.6-(h[mm]/1000))*fct,m
MFIS = Fct,fl * ωH MFIS [KN-m]
PARA β
Sm = 2*c*0.2*s*(0.4*k1*φ*(AC,EFICAZ/AS1))
c = d1-(φ/2)
s = (b-2*c-n*φ)/(n-1)
PARA K1 K1
PARA AC,EFICAZ AC,EFICAZ = b*((7.5*φ)+d1) AC,EFICAZ [cm2]
PARA Sm Sm [cm]
5.85868550158492
pero necesitamos previamente ciertos parametros que calcularemos a continuacion:
0.0079196875
4.60302812413755
3064.96435956417
268.927956736949
636055.631957475
122194.758141126
DE TABLAS 0.5
0.003121590058594FINALMENTE
0.21
ANCHO DE FISURA ADMISIBLEpara este punto asumimos un nivel de clase de exposicion I
CLASE DE EXPOSICION CLASE: NO AGRESIVAI SUBCLASE: NO AGRESIVA
TIPO DE PROCESO: Ninguno
DESCRIPCION:interiores de edificios, no sometidos a condensacioneselementos de hormigon en masa
Para esta clase de exposicion tenemos segun la norma 0.400
DONDE: 0.4 > 0.207 CUMPLE
Por lo tanto cumple con la verificacion de ESTADO LIMITE DE FISURACION para todas las losas
Sm = 2*c*0.2*s*(0.4*k1*φ*(AC,EFICAZ/AS1))
CACULO DE εSM
PARA εSM εSM = (σS/ES)*[1-K2*(σSR/σS)2]
PARA ρ1 ρ1 = AS1/(b*d) ρ1
PARA XF XF = n*d*ρ1*(-1+(1+(2/(n*ρ1)))0.5) XF [cm]
PARA IFIS IFIS = n*AS1*(d-XF)*(d-(XF/3) IFIS [cm4]
PARA ωFIS ωFIS = IFIS/(d-XF) ωFIS [cm3]
PARA σS σS = n*(MK/ωFIS) σS [KN/m2]
PARA σSR σSR = n*(MFIS/ωFIS) σSR [KN/m2]
PARA K2 K2
PARA εSM εSM = (σS/ES)*[1-K2*(σSR/σS)2] εSM
PARA WK WK = β*Sm*εSM WK [mm]
WMAX [mm]
WMAX > WK
TABLA RESUMEN be [m] 0.5BASE b [cm] 20 bw [m] 0.3
RECUBRIMIENTO r [cm] 2 hf [m] 0.05
LONGITUD DESFAVORABLE 520 h [m] 0.25
h [cm] 16.90 d [m] 0.23
18.00 d1 [m] 0.02
ALTURA UTIL d [cm] 16.00 d2 [m] 0.02
ANCHO EFICAZ 50
y se la tomara como una viga plana, ya que este seria el caso mas desfavorable, si cumple para este cumplira para las demas longitudes de tramos
2018.00
216.00
16666.67
347826.09
1.74
1.67
34.78
200000
SOLCITACIONES
23.32
LDES [cm]
h = 1.3*LDES/40hADOP [cm]
BEFECTIVA [cm]
fCD [KN/m2]
fYD [KN/m2]
εY [[0/00]]
fCD [KN/cm2]
fYD [KN/cm2]
ES [Mpa]
MK [KN-m]
3.64224876642136 3642.24876642136
Fct,fl [MPA] Fct,fl [KN/m2]
Sm [mm]
58.5868550158492
interiores de edificios, no sometidos a condensacioneselementos de hormigon en masa
PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUE
LOSA MACIZA EN UNA DIRECCION
7. ESTADO LIMITE DE DEFORMACION
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMENPARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]
9.28 16666.67 RECUBRIMIENTO r [cm]
2.00 347826.09 LONGITUD DESFAVORABLE
11.28 1.74 LONGITUD DESFAVORABLE
13.92 1.67 ALTURA h [cm]
3.20 34.78 LOSA
17.12 25 ALTURA UTIL d [cm]
E [MPA] 200000 400
Para esta verificacion de estado limite de deformacion se tomara en cuenta la longitud del tramo mas largo para el analisisy se la tomara como una viga plana, ya que este seria el caso mas desfavorable, si cumple para este cumplira para las demas longitudes de tramos de losas
Tomar en cuenta de que se procedera al desencofrado a los 28 dias y la sobrecarga actua a partir de los 3 meses (91 dias).
Tambien es necesario conocer los diferentes parametrso que se muestran a continuacion #REF!
4860
Se tomara en cuenta que la armadura tambien debe ser la maxima en las losas
TRAMO φ [mm]
FG #REF! 12
● CARGAS Y SOLICITACIONESPara los dos diferentes casos:
PARA t [dias]
14 9.28 31.37
PARA t [dias]
91 11.28 38.13
● RESISTENCIA A COMPRESION DEL HORMIGONPARA : Un cemento normal, entonces S 0.25
PARA fck14 [MPA] fck91 [MPA]
22.540697075229 27.9439516096228
● MODULO DE DEFORMACION LONGITUDINAL DEL HORMIGON
PARA Ec14 [MPA] Ec91 [MPA]
25888.322250973 28824.6567914682
● COEFICIENTE DE EQUIVALENCIAPARA n = Es/Ec(t) ɳ14 ɳ91
7.7254909785622 6.93850412328925
● PROFUNDIDAD DEL C.G. DE SECCION HOMOGENEIZADA
PARA
GK TOTAL [KN/m] fCD [KN/m2]
QK TOTAL [KN/m] fYD [KN/m2] LDES [mm]
PK TOTAL [KN/m] εY [[0/00]] LDES [m]
GD TOTAL [KN/m] fCD [KN/cm2]h = 1.3*LDES/40
QD TOTAL [KN/m] fYD [KN/cm2] hADOP [cm]
PD TOTAL [KN/m] fCK [MPA]
fYK [MPA]
ABRUTA [cm2]
IBRUTA [cm4]
AS1 [cm2]
GK [KN/m] Ma(14) =(GK*L2)/8 Ma(14) [KN-m]
PK [KN/m] Ma(91) =(PK*L2)/8 Ma(91) [KN-m]
FCK,(t) = βcc,t*fck(28)
Ec(t) = (βcc,t)0.5*Ec(28)
XHOM = ((ABRUTA*(h/2))+((n-1)(AS1*d+AS2'*d1)))/(ABRUTA+((n-1)*(AS1+AS2')))
Xh14 [cm] Xh91 [cm]#REF! #REF!
● MOMENTO DE INERCIA DE LA SECCION HOMOGENEIZADA
PARA
#REF! #REF!
● MODULO RESISTENTE DE SECCION HOMOGENEIZADA
PARA
#REF! #REF!
● PROFUNDIDAD DEL C.G. DE LA SECCION FISURADA δ1 xf14 [cm] xf91 [cm]#REF! #REF! #REF!
● MOMENTO DE INERCIA DE LA SECCION FISURADA
#REF! #REF!
● RESISTENCIA A FLEXOTRACCION
3399.2869537315 3922.8479890532
● MOMENTO DE FISURACION Mf14 [KN-m] Mf91 [KN-m]#REF! #REF!
● MOMENTO DE INERCIA EQUIVALENTEECUACION DE BRANSON Ie14 ECUACION DE BRANSON Ie91
#REF! #REF!
● FLECHAS● FLECHA INSTANTANEA
#REF! #REF! #REF!
● FLECHA DIFERIDA
λ
0.5 #REF!
● FLECHA TOTAL ft [mm] #REF!
● FLECHA ACTIVA fa [mm] #REF!
● VERIFICACION2.08
ftmax [mm] menor 2.04
famax [mm] 1.3 #REF!
DONDE: famax > fa famax [mm] > fa [mm]
Por lo tanto cumple con la verificacion de ESTADO LIMITE DE FISURACION para todas las losas
IHOM = (b*h3/12)+((n-1)*((AS1)*((d-XH)^2))) Ih14 [cm4] Ih91 [cm4]
ωH = IHOM/(h-XHOM) wh14 [cm3] wh91 [cm3]
If14 [cm4] If91 [cm4]
fct,fl14 [KN/m2] fct,fl91 [KN/m2]
Ie14 [cm4] Ie91 [cm4]
f14ipp [mm] f91isobr [mm] f91ippsol [mm]
f14,91d,pp [mm]
BARES
LOSA TABLA γ ωs [m]
1 4 3.8 4 0.95 0.0279TABLA RESUMEN 2 4.45 3.8 5b 0.85 0.0272
10 3 5.2 3.8 4 0.73 0.0402
2 4 4.2 4.15 4 0.99 0.0252
520 5 4.15 3.4 5a 0.82 0.0307
5.2 6 4.15 3.25 5a 0.78 0.0307
16.90 7 4.15 4 6 0.96 0.0168
18 8 4.45 4.15 6 0.93 0.0168
16.00 9 5.2 4.15 5a 0.80 0.0307
10 4.2 4 5a 0.95 0.0214
11 4 3.4 6 0.85 0.020112 4 3.25 5a 0.81 0.0214
y se la tomara como una viga plana, ya que este seria el caso mas desfavorable, si cumple para este cumplira para las demas longitudes de tramos de losas 13 4 4 5a 1.00 0.018814 4.45 4 6 0.90 0.018415 5.2 4 5a 0.77 0.034416 4.2 3.9 5a 0.93 0.0214
17 3.9 3.4 5b 0.87 0.0241
18 4.45 3.9 5a 0.88 0.0241
19 5.2 3.9 5a 0.75 0.034420 4.2 3.4 5a 0.81 0.030721 3.4 3.4 6 1.00 0.0153
22 3.4 3.25 5a 0.96 0.0214
23 4 3.4 5b 0.85 0.027224 4.45 3.4 6 0.76 0.023625 5.2 3.4 5a 0.65 0.042126 4.2 4 4 0.95 0.0279
27 4 3.4 5a 0.85 0.0272
28 4 3.25 5a 0.81 0.030729 4 4 5a 1.00 0.0188
30 4.45 4 5b 0.90 0.0241
31 5.2 4 4 0.77 0.0402
LY [m] LX [m]
#REF!
#REF!
27264.04
OBS.
0.413 1.111 CUMPLE0.402 1.236 CUMPLE0.595 1.444 CUMPLE
0.530 1.167 CUMPLE
0.291 1.153 CUMPLE
0.243 1.153 CUMPLE
0.305 1.153 CUMPLE
0.354 1.236 CUMPLE
0.646 1.444 CUMPLE
0.389 1.167 CUMPLE
0.191 1.111 CUMPLE0.169 1.111 CUMPLE0.341 1.111 CUMPLE0.334 1.236 CUMPLE0.625 1.444 CUMPLE0.351 1.167 CUMPLE
0.228 1.083 CUMPLE
0.396 1.236 CUMPLE
0.565 1.444 CUMPLE0.291 1.167 CUMPLE0.145 0.944 CUMPLE
0.169 0.944 CUMPLE
0.258 1.111 CUMPLE0.224 1.236 CUMPLE0.399 1.444 CUMPLE0.507 1.167 CUMPLE
0.258 1.111 CUMPLE
0.243 1.111 CUMPLE0.341 1.111 CUMPLE
0.438 1.236 CUMPLE
0.730 1.444 CUMPLE
EC [Mpa]
fMAX [mm] fADM [mm]
PROYECTO DE HORMIGON ARMADO - II Univ. SALAZAR CALDERON ORLANDO JOSUELOSA MACIZA EN DOS DIRECCIONES
PLANILLA DE ACEROSPARA LA LOSA 1 DE DERECHA A IZQUIERDA
ESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
1 8 0.58 0.14 4.28
2 8 0.14 3.17
3 8 0.14 4.71 0.14
4 8 2.63 0.16
5 8 5.48 0.14 0.68
6 8 4.15 0.14 0.16
7 8 0.60 0.14 4.48
8 8 0.14 3.33
9 8 0.14 3.66 0.14
10 8 1.90 0.16
11 8 0.14 3.51 0.14
12 8 1.79 0.16
13 8 0.14 4.26 0.14
14 8 2.32 0.16
15 8 0.14 4.71 0.14
16 8 2.63 0.16
17 8 5.48 0.14 0.68
18 8 4.15 0.14 0.16
19 8 0.60 0.14 4.48
20 8 0.14 3.33
21 8 0.14 3.66 0.14
c
ab
bc
g i
bc
d
g i
cfh
ed
c
ed
c
dc
fh
c
ab
bc
g i
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
ed
c
ed
c
dc
fh
c
ab
bc
g i
bc
d
22 8 1.90 0.16
23 8 0.14 3.51 0.14
24 8 1.79 0.16
25 8 0.14 4.26 0.14
26 8 2.32 0.16
27 8 0.14 4.71 0.14
28 8 2.63 0.16
29 8 5.48 0.14 0.68
30 8 4.15 0.14 0.16
ESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
31 8 0.60 0.14 4.48
32 8 0.14 3.33
33 8 3.68 0.14 0.53
34 8 2.68 0.14 0.16
35 8 0.62 0.14 4.73
36 8 0.14 3.54
37 8 5.48 0.14 0.68
38 8 4.15 0.14 0.16
39 8 0.60 0.14 4.48
40 8 0.14 3.33
41 8 0.14 3.66 0.14
42 8 1.90 0.16
43 8 0.14 3.51 0.14
44 8 1.79 0.16
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
ed
c
ed
c
dc
fh
c
ab
bc
g i
ed
c
ed
c
dc
fh
c
ab
bc
g i
ed
c
ed
c
dc
fh
c
ab
bc
g i
bc
d
g i
cfh
bc
d
g i
cfh
45 8 0.14 4.26 0.14
46 8 2.32 0.16
47 8 0.14 4.71 0.14
48 8 2.63 0.16
49 8 5.48 0.14 0.68
50 8 4.15 0.14 0.16
51 8 0.60 0.14 4.48
52 8 0.14 3.33
53 8 0.14 3.66 0.14
54 8 1.90 0.16
55 8 0.14 3.51 0.14
56 8 1.79 0.16
57 8 0.14 4.26 0.14
58 8 2.32 0.16
59 8 0.14 4.71 0.14
60 8 2.63 0.16
61 8 5.48 0.14 0.68
62 8 4.15 0.14 0.16
DE ARRIBA HACIA ABAJO
ESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
63 10 4.08 0.14 0.68
bc
d
g i
cfh
bc
d
g i
cfh
ed
c
ed
c
dc
fh
c
ab
bc
g i
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
ed
c
ed
c
dc
fh
ed
c
ed
c
64 10 2.95 0.14 0.16
65 8 0.14 4.41 0.14
66 8 1.90 0.16
67 10 0.14 4.26 0.14
68 10 1.90 0.16
69 8 0.14 4.16 0.14
70 8 1.90 0.16
71 8 0.14 3.66 0.14
72 8 1.90 0.16
73 10 0.68 0.14 4.28
74 10 0.14 2.95
75 8 4.08 0.14 0.68
76 8 2.95 0.14 0.16
77 8 0.14 4.41 0.14
78 8 1.90 0.16
79 8 0.14 4.26 0.14
80 8 1.90 0.16
81 8 0.14 4.16 0.14
82 8 1.90 0.16
83 8 0.14 3.66 0.14
84 8 1.90 0.16
85 8 0.68 0.14 4.28
86 8 0.14 2.95
87 8 4.08 0.14 0.68
dc
fh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
c
ab
bc
g i
ed
c
ed
c
dc
fh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
c
ab
bc
g i
ed
c
ed
c
88 8 2.95 0.14 0.16
89 8 0.14 4.41 0.14
90 8 1.90 0.16
91 8 0.68 0.14 4.28
92 8 0.14 3.08
93 8 3.68 0.14 0.68
94 8 2.78 0.14 0.16
95 8 0.68 0.14 4.28
ESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
96 8 0.14 2.95
97 8 4.43 0.14 0.68
98 8 3.15 0.14 0.16
99 8 0.68 0.14 4.28
100 8 0.14 3.08
101 8 3.68 0.14 0.68
102 8 2.78 0.14 0.16
103 10 0.68 0.14 4.28
104 10 0.14 2.95
105 8 4.43 0.14 0.68
106 8 3.15 0.14 0.16
107 8 0.14 4.26 0.14
108 8 1.90 0.16
109 8 0.14 4.16 0.14
110 8 1.90 0.16
dc
fh
bc
d
g i
cfh
c
ab
bc
g i
ed
c
ed
c
dc
fh
c
ab
bc
g i
ed
c
ed
c
dc
fh
c
ab
bc
g i
ed
c
ed
c
dc
fh
c
ab
bc
g i
ed
c
ed
c
dc
fh
bc
d
g i
cfh
bc
d
g i
cfh
111 8 0.14 3.66 0.14
112 8 1.90 0.16
113 10 0.68 0.14 4.28
114 10 0.14 2.95
115 8 4.43 0.14 0.68
116 8 3.15 0.14 0.16
117 8 0.14 4.26 0.14
118 8 1.90 0.16
119 8 0.14 4.16 0.14
120 8 1.90 0.16
121 8 0.14 3.66 0.14
122 8 1.90 0.16
123 8 0.68 0.14 4.28
124 8 0.14 2.95
187 8 1.83
188 8 1.83
189 8 1.83
190 8 1.83
PARA ARMADURA DE CORTE DE DERECHA A IZQUIERDAESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
bc
d
g i
cfh
c
ab
bc
g i
ed
c
ed
c
dc
fh
bc
d
g i
cfh
bc
d
g i
cfh
bc
d
g i
cfh
c
ab
bc
g i
125 6 0.05 0.14 0.06 0.14 0.05
126 6 0.05 0.14 0.06 0.14 0.05
127 6 0.05 0.14 0.06 0.14 0.05
128 6 0.05 0.14 0.06 0.14 0.05
129 6 0.05 0.14 0.06 0.14 0.05
130 6 0.05 0.14 0.06 0.14 0.05
131 6 0.05 0.14 0.06 0.14 0.05
132 6 0.05 0.14 0.06 0.14 0.05
133 6 0.05 0.14 0.06 0.14 0.05
134 6 0.05 0.14 0.06 0.14 0.05
135 6 0.05 0.14 0.06 0.14 0.05
136 6 0.05 0.14 0.06 0.14 0.05
137 6 0.05 0.14 0.06 0.14 0.05
138 6 0.05 0.14 0.06 0.14 0.05
139 6 0.05 0.14 0.06 0.14 0.05
140 6 0.05 0.14 0.06 0.14 0.05
141 6 0.05 0.14 0.06 0.14 0.05
142 6 0.05 0.14 0.06 0.14 0.05
143 6 0.05 0.14 0.06 0.14 0.05
144 6 0.05 0.14 0.06 0.14 0.05
145 6 0.05 0.14 0.06 0.14 0.05
146 6 0.05 0.14 0.06 0.14 0.05
147 6 0.05 0.14 0.06 0.14 0.05
148 6 0.05 0.14 0.06 0.14 0.05
149 6 0.05 0.14 0.06 0.14 0.05
150 6 0.05 0.14 0.06 0.14 0.05
151 6 0.05 0.14 0.06 0.14 0.05
152 6 0.05 0.14 0.06 0.14 0.05
153 6 0.05 0.14 0.06 0.14 0.05
154 6 0.05 0.14 0.06 0.14 0.05
155 6 0.05 0.14 0.06 0.14 0.05
PARA ARMADURA DE CORTE DE ARRIBA HACIA ABAJO\ESQUEMA POSICION φ [mm] a [m] b [m] c [m] d [m] e [m] f [m]
156 6 0.05 0.14 0.06 0.14 0.05
157 6 0.05 0.14 0.06 0.14 0.05
158 6 0.05 0.14 0.06 0.14 0.05
159 6 0.05 0.14 0.06 0.14 0.05
160 6 0.05 0.14 0.06 0.14 0.05
161 6 0.05 0.14 0.06 0.14 0.05
162 6 0.05 0.14 0.06 0.14 0.05
163 6 0.05 0.14 0.06 0.14 0.05
164 6 0.05 0.14 0.06 0.14 0.05
165 6 0.05 0.14 0.06 0.14 0.05
166 6 0.05 0.14 0.06 0.14 0.05
167 6 0.05 0.14 0.06 0.14 0.05
168 6 0.05 0.14 0.06 0.14 0.05
169 6 0.05 0.14 0.06 0.14 0.05
170 6 0.05 0.14 0.06 0.14 0.05
171 6 0.05 0.14 0.06 0.14 0.05
172 6 0.05 0.14 0.06 0.14 0.05
173 6 0.05 0.14 0.06 0.14 0.05
174 6 0.05 0.14 0.06 0.14 0.05
175 6 0.05 0.14 0.06 0.14 0.05
176 6 0.05 0.14 0.06 0.14 0.05
177 6 0.05 0.14 0.06 0.14 0.05
178 6 0.05 0.14 0.06 0.14 0.05
179 6 0.05 0.14 0.06 0.14 0.05
180 6 0.05 0.14 0.06 0.14 0.05
181 6 0.05 0.14 0.06 0.14 0.05
182 6 0.05 0.14 0.06 0.14 0.05
183 6 0.05 0.14 0.06 0.14 0.05
184 6 0.05 0.14 0.06 0.14 0.05
185 6 0.05 0.14 0.06 0.14 0.05
186 6 0.05 0.14 0.06 0.14 0.05
φ [mm]
68
1012
g [m] h [m] i [m] # BARRAS
5.00 8.00 40.00 0.40 15.80
0.16 1.00 4.47 16.00 71.45 0.40 28.22
4.99 8.00 39.92 0.40 15.77
0.16 0.95 0.95 4.84 16.00 77.46 0.40 30.60
6.30 8.00 50.40 0.40 19.91
1.22 5.67 16.00 90.65 0.40 35.81
5.22 9.00 46.98 0.40 18.56
0.16 1.04 4.67 18.00 84.06 0.40 33.20
3.94 9.00 35.46 0.40 14.01
0.16 0.79 0.79 3.80 18.00 68.40 0.40 27.02
3.79 9.00 34.11 0.40 13.47
0.16 0.77 0.77 3.65 18.00 65.70 0.40 25.95
4.54 9.00 40.86 0.40 16.14
0.16 0.88 0.88 4.40 18.00 79.20 0.40 31.28
4.99 9.00 44.91 0.40 17.74
0.16 0.95 0.95 4.84 18.00 87.14 0.40 34.42
6.30 9.00 56.70 0.40 22.40
1.22 5.67 18.00 101.98 0.40 40.28
5.22 8.00 41.76 0.40 16.50
0.16 1.04 4.67 16.00 74.72 0.40 29.51
3.94 8.00 31.52 0.40 12.45
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
0.16 0.79 0.79 3.80 16.00 60.80 0.40 24.02
3.79 8.00 30.32 0.40 11.98
0.16 0.77 0.77 3.65 16.00 58.40 0.40 23.07
4.54 8.00 36.32 0.40 14.35
0.16 0.88 0.88 4.40 16.00 70.40 0.40 27.81
4.99 8.00 39.92 0.40 15.77
0.16 0.95 0.95 4.84 16.00 77.46 0.40 30.60
6.30 8.00 50.40 0.40 19.91
1.22 5.67 16.00 90.65 0.40 35.81
g [m] h [m] i [m] # BARRAS
5.22 8.00 41.76 0.40 16.50
0.16 1.04 4.67 16.00 74.72 0.40 29.51
4.35 8.00 34.80 0.40 13.75
0.89 3.87 16.00 61.92 0.40 24.46
5.49 8.00 43.92 0.40 17.35
0.16 1.08 4.92 16.00 78.72 0.40 31.09
6.30 8.00 50.40 0.40 19.91
1.22 5.67 16.00 90.72 0.40 35.83
5.22 7.00 36.54 0.40 14.43
0.16 1.04 4.67 14.00 65.38 0.40 25.83
3.94 7.00 27.58 0.40 10.89
0.16 0.79 0.79 3.80 14.00 53.20 0.40 21.01
3.79 7.00 26.53 0.40 10.48
0.16 0.77 0.77 3.65 14.00 51.10 0.40 20.18
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
4.54 7.00 31.78 0.40 12.55
0.16 0.88 0.88 4.40 14.00 61.60 0.40 24.33
4.99 7.00 34.93 0.40 13.80
0.16 0.95 0.95 4.84 14.00 67.78 0.40 26.77
6.30 7.00 44.10 0.40 17.42
1.22 5.67 14.00 79.32 0.40 31.33
5.22 8.00 41.76 0.40 16.50
0.16 1.04 4.67 1.00 4.67 0.40 1.84
3.94 8.00 31.52 0.40 12.45
0.16 0.79 0.79 3.80 16.00 60.80 0.40 24.02
3.79 8.00 30.32 0.40 11.98
0.16 0.77 0.77 3.65 16.00 58.40 0.40 23.07
4.54 8.00 36.32 0.40 14.35
0.16 0.88 0.88 4.40 16.00 70.40 0.40 27.81
4.99 8.00 39.92 0.40 15.77
0.16 0.95 0.95 4.84 16.00 77.46 0.40 30.60
6.30 8.00 50.40 0.40 19.91
1.22 5.67 16.00 90.65 0.40 35.81
1353.85
φ [mm]
68
1012
g [m] h [m] i [m] # BARRAS
4.90 11.00 53.90 0.62 33.26
PESO TOTALACERO [Kg]
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
1.02 4.27 22.00 93.94 0.62 57.96
4.69 11.00 51.59 0.40 20.38
0.16 1.16 1.16 4.54 22.00 99.88 0.40 39.45
4.54 11.00 49.94 0.62 30.81
0.16 1.09 1.09 4.40 22.00 96.80 0.62 59.73
4.44 11.00 48.84 0.40 19.29
0.16 1.04 1.04 4.30 22.00 94.60 0.40 37.37
3.94 11.00 43.34 0.40 17.12
0.16 0.79 0.79 3.80 22.00 83.60 0.40 33.02
5.10 11.00 56.10 0.62 34.61
0.16 1.22 4.47 22.00 98.34 0.62 60.68
4.90 9.00 44.10 0.40 17.42
1.02 4.27 18.00 76.86 0.40 30.36
4.69 9.00 42.21 0.40 16.67
0.16 1.16 1.16 4.54 18.00 81.72 0.40 32.28
4.54 9.00 40.86 0.40 16.14
0.16 1.09 1.09 4.40 18.00 79.20 0.40 31.28
4.44 9.00 39.96 0.40 15.78
0.16 1.04 1.04 4.30 18.00 77.40 0.40 30.57
3.94 9.00 35.46 0.40 14.01
0.16 0.79 0.79 3.80 18.00 68.40 0.40 27.02
5.10 9.00 45.90 0.40 18.13
0.16 1.22 4.47 18.00 80.46 0.40 31.78
4.90 8.00 39.20 0.40 15.48
1.02 4.27 16.00 68.32 0.40 26.99
4.69 8.00 37.52 0.40 14.82
0.16 1.16 1.16 4.54 16.00 72.64 0.40 28.69
5.10 8.00 40.80 0.40 16.12
0.16 1.09 4.47 16.00 71.52 0.40 28.25
4.50 8.00 36.00 0.40 14.22
0.79 3.87 16.00 61.92 0.40 24.46
5.10 8.00 40.80 0.40 16.12
12g [m] h [m] i [m] # BARRAS
0.16 1.22 4.47 16.00 71.52 0.40 28.25
5.25 7.00 36.75 0.40 14.52
1.16 4.61 14.00 64.54 0.40 25.49
5.10 7.00 35.70 0.40 14.10
0.16 1.09 4.47 14.00 62.58 0.40 24.72
4.50 7.00 31.50 0.40 12.44
0.79 3.87 14.00 54.18 0.40 21.40
5.10 7.00 35.70 0.62 22.03
0.16 1.22 4.47 14.00 62.58 0.62 38.61
5.25 7.00 36.75 0.40 14.52
1.16 4.61 14.00 64.54 0.40 25.49
4.54 7.00 31.78 0.40 12.55
0.16 1.09 1.09 4.40 14.00 61.60 0.40 24.33
4.44 7.00 31.08 0.40 12.28
0.16 1.04 1.04 4.30 14.00 60.20 0.40 23.78
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
3.94 7.00 27.58 0.40 10.89
0.16 0.79 0.79 3.80 14.00 53.20 0.40 21.01
5.10 7.00 35.70 0.62 22.03
0.16 1.22 4.47 14.00 62.58 0.62 38.61
5.25 9.00 47.25 0.40 18.66
1.16 4.61 18.00 82.98 0.40 32.78
4.54 9.00 40.86 0.40 16.14
0.16 1.09 1.09 4.40 18.00 79.20 0.40 31.28
4.44 9.00 39.96 0.40 15.78
0.16 1.04 1.04 4.30 18.00 77.40 0.40 30.57
3.94 9.00 35.46 0.40 14.01
0.16 0.79 0.79 3.80 18.00 68.40 0.40 27.02
5.10 9.00 45.90 0.40 18.13
0.16 1.22 4.47 18.00 80.46 0.40 31.78
1.83 19.00 34.77 0.40 13.73
1.83 20.00 36.60 0.40 14.46
1.83 21.00 38.43 0.40 15.18
1.83 22.00 40.26 0.40 15.90
1612.76
φ [mm]
6
8
10
DE DERECHA A IZQUIERDA 12g [m] h [m] i [m] # BARRAS
PESO TOTALACERO [Kg]
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
0.44 300.00 132.00 0.22 29.30
0.44 338.00 148.72 0.22 33.02
0.44 412.00 181.28 0.22 40.24
0.44 377.00 165.88 0.22 36.83
0.44 293.00 128.92 0.22 28.62
0.44 293.00 128.92 0.22 28.62
0.44 335.00 147.40 0.22 32.72
0.44 377.00 165.88 0.22 36.83
0.44 461.00 202.84 0.22 45.03
0.44 360.00 158.40 0.22 35.16
0.44 280.00 123.20 0.22 27.35
0.44 280.00 123.20 0.22 27.35
0.44 320.00 140.80 0.22 31.26
0.44 360.00 158.40 0.22 35.16
0.44 440.00 193.60 0.22 42.98
0.44 349.00 153.56 0.22 34.09
0.44 271.00 119.24 0.22 26.47
0.44 349.00 153.56 0.22 34.09
0.44 426.00 187.44 0.22 41.61
0.44 304.00 133.76 0.22 29.69
0.44 236.00 103.84 0.22 23.05
0.44 236.00 103.84 0.22 23.05
0.44 270.00 118.80 0.22 26.37
0.44 304.00 133.76 0.22 29.69
0.44 371.00 163.24 0.22 36.24
0.44 360.00 158.40 0.22 35.16
0.44 280.00 123.20 0.22 27.35
0.44 280.00 123.20 0.22 27.35
0.44 320.00 140.80 0.22 31.26
0.44 360.00 158.40 0.22 35.16
0.44 440.00 193.60 0.22 42.98
3166.42
φ [mm]
6
8
10
DE ARRIBA HACIA ABAJO\ 12g [m] h [m] i [m] # BARRAS
0.44 410.00 180.40 0.22 40.05
0.44 461.00 202.84 0.22 45.03
0.44 410.00 180.40 0.22 40.05
0.44 410.00 180.40 0.22 40.05
0.44 359.00 157.96 0.22 35.07
0.44 410.00 180.40 0.22 40.05
0.44 355.00 156.20 0.22 34.68
0.44 400.00 176.00 0.22 39.07
0.44 355.00 156.20 0.22 34.68
0.44 355.00 156.20 0.22 34.68
0.44 311.00 136.84 0.22 30.38
PESO TOTALACERO [Kg]
LUNITARIO [m] LTOTAL [m] PESOUNIT [Kg/m] PESO [Kg/m]
0.44 355.00 156.20 0.22 34.68
0.44 320.00 140.80 0.22 31.26
0.44 360.00 158.40 0.22 35.16
0.44 320.00 140.80 0.22 31.26
0.44 280.00 123.20 0.22 27.35
0.44 320.00 140.80 0.22 31.26
0.44 287.00 126.28 0.22 28.03
0.44 255.00 112.20 0.22 24.91
0.44 223.00 98.12 0.22 21.78
0.44 255.00 112.20 0.22 24.91
0.44 304.00 133.76 0.22 29.69
0.44 270.00 118.80 0.22 26.37
0.44 270.00 118.80 0.22 26.37
0.44 236.00 103.84 0.22 23.05
0.44 270.00 118.80 0.22 26.37
0.44 371.00 163.24 0.22 36.24
0.44 330.00 145.20 0.22 32.23
0.44 330.00 145.20 0.22 32.23
0.44 289.00 127.16 0.22 28.23
0.44 330.00 145.20 0.22 32.23
4776.87PESO TOTALACERO [Kg]
PESO UNITARIOPO UNIDAD DE LONGITUD
PESO [Kg/m]
0.2220.3950.6170.888
PESO UNITARIOPO UNIDAD DE LONGITUD
PESO [Kg/m]
0.2220.3950.6170.888
0.888
65 32.5 95.5
PESO UNITARIO
PO UNIDAD DE LONGITUD
PESO [Kg/m]
0.222
0.395
0.617
0.888
PESO UNITARIO
PO UNIDAD DE LONGITUD
PESO [Kg/m]
0.222
0.395
0.617
0.888