losa maciza en dos direcciones mmm
DESCRIPTION
calculo y diseño de losas macizas de hormigon armado en dos direccionesTRANSCRIPT
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]
REVESTIMIENTO (PARQUET)CONTRAPISO DE NIVELACIÓN
LOSA MACIZA
REVOQUE (YESO)
0.010.04
0.15
0.02
1 [m]
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
CARGAS PERMANENTES
GK
1 1
0.3 0.3
22 0.88
12 2.4
25 3.75
8.33
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]
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
8.33
2.00
10.33
12.50
3.2015.70
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]
MAYORANDO LAS CARGAS
CARGAS EFECTO DESFAVORABLE
PERMANENTES 1.50
VARIABLES 1.60
12.495
3.2
10.3
15.7
3.2
15.7
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 15.7
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 1.05 238.564 4 1.04 0.552 4.45 3.8 1.17 1.15 265.402 5b 1.023 5.2 3.8 1.37 1.35 310.133 4 1.08 0.574 4.2 4.15 1.01 1.00 273.564 4 1.02 0.555 4.15 3.4 1.22 1.20 221.456 5a 0.96 0.496 4.15 3.25 1.28 1.30 211.686 5a 0.95 0.48
7 4.15 4 1.04 1.05 260.537 6 0.91
8 4.45 4.15 1.07 1.05 289.847 6 0.919 5.2 4.15 1.25 1.25 338.698 5a 0.96 0.49
10 4.2 4 1.05 1.05 263.676 5a 0.93 0.4911 4 3.4 1.18 1.20 213.452 6 0.9412 4 3.25 1.23 1.25 204.035 5a 0.96 0.4913 4 4 1.00 1.00 251.120 5a 0.91 0.49
14 4.45 4 1.11 1.10 279.371 6 0.93
15 5.2 4 1.30 1.30 326.456 5a 0.95 0.4816 4.2 3.9 1.08 1.10 257.084 5a 0.95 0.4917 3.9 3.4 1.15 1.15 208.116 5b 1.0218 4.45 3.9 1.14 1.15 272.387 5a 0.96 0.4919 5.2 3.9 1.33 1.35 318.295 5a 0.95 0.4820 4.2 3.4 1.24 1.25 224.125 5a 0.96 0.49
21 3.4 3.4 1.00 1.00 181.434 6 0.89
22 3.4 3.25 1.05 1.05 173.430 5a 0.93 0.4923 4 3.4 1.18 1.20 213.452 5b 1.0424 4.45 3.4 1.31 1.30 237.465 6 0.9525 5.2 3.4 1.53 1.55 277.488 5a 0.9 0.4826 4.2 4 1.05 1.05 263.676 4 1.04 0.5527 4 3.4 1.18 1.20 213.452 5a 0.96 0.49
28 4 3.25 1.23 1.25 204.035 5a 0.96 0.49
29 4 4 1.00 1.00 251.120 5a 0.91 0.4930 4.45 4 1.11 1.10 279.371 5b 131 5.2 4 1.30 1.30 326.456 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 31.013 31.610 16.401 16.998 11.03 0.55 30.417 30.715 16.401 21.2 0.66 32.206 35.785 16.998 19.682 3
1.02 0.55 33.218 33.218 17.912 17.912 41.03 25.614 27.482 13.074 5 4 17.9121.04 24.229 26.525 12.242 6
0.93 28.565 29.193 7
17.9
12
0.93 29.636 30.287 81.03 31.264 33.544 15.958 90.97 29.193 30.448 15.381 100.99 25.081 26.415 11 33.2181.03 24.484 26.270 12.497 12 10 30.4480.95 28.565 29.821 15.381 13
0.95 29.193 29.821 14
15.3
81
1.04 29.821 32.646 15.067 150.99 29.075 30.299 14.997 161.03 0.55 27.215 27.482 14.675 171.01 29.381 30.911 14.997 18 30.4481.04 29.075 31.829 14.691 19 16 30.2991.03 25.614 27.482 13.074 20
0.9 23.747 24.013 21
14.9
970.97 23.719 24.739 12.497 221.06 0.57 27.749 28.282 15.208 231.02 25.347 27.215 241.03 24.013 27.482 12.807 25 30.2991.06 0.57 32.646 33.273 17.265 17.892 26 20 27.4821.03 25.614 27.482 13.074 27
1.03 24.484 26.270 12.497 28
13.0
74
0.95 28.565 29.821 15.381 290.99 0.53 31.390 31.076 16.637 301.18 0.65 33.901 37.040 17.892 20.404 31
27.48226 33.273
17.2
65
17.892
DISPOSICION DE CORTANTES 1 16.998 2 16.401 3 19.682
16.4
01
31.0
13
30.4
17
30.4
17
32.2
06
31.610 30.715 35.7855 13.074 6 12.242 7 28.565 8 30.287 9 33.544
33.2
18
27.4
82
27.4
82
26.5
25
26.5
25
29.1
93
29.1
93
29.6
36
29.6
36
31.2
64
25.614 24.229 28.565 30.287 33.54411 25.081 12 24.484 13 28.565 14 29.821 15 32.646
29.1
93
26.4
15
26.4
15
26.2
70
26.2
70
29.8
21
29.8
21
29.1
93
29.1
93
29.8
21
25.081 12.497 15.381 29.821 32.64617 27.215 18 30.911 19 31.829
29.0
75
27.4
82
14.6
75
14.9
97
29.3
81
29.0
7527.215 30.911 31.829
21 24.013 22 12.497 23 15.208 24 27.215 25 27.482
25.6
14
23.7
47
23.7
47
24.7
39
24.7
39
27.7
49
27.7
49
25.3
47
25.3
47
24.0
13
24.013 23.719 28.282 27.215 27.48227 25.614 28 24.484 29 28.565 30 31.076 31 37.040
32.6
46
27.4
82
27.4
82
26.2
70
26.2
70
29.8
21
29.8
21
31.3
90
31.3
90
33.9
01
13.074 12.497 15.381 16.637 20.404
16.9
9815
.958
15.0
6714
.691
12.8
0717
.892
TABLA RESUMEN
BASE b [cm] 100 3.2
RECUBRIMIENTO MECANICO r [cm] 2 15.7
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 1.05 238.564 4 35.4 39.2
2 4.45 3.8 1.17 1.15 265.402 5b 42 48.6
3 5.2 3.8 1.37 1.35 310.133 4 31.3 57.2
4 4.2 4.15 1.01 1.00 273.564 4 37 37
5 4.15 3.4 1.22 1.20 221.456 5a 42.3 70.3
6 4.15 3.25 1.28 1.30 211.686 5a 42.6 83.3
7 4.15 4 1.04 1.05 260.537 6 53.3 58.8
8 4.45 4.15 1.07 1.05 289.847 6 53.3 58.8
9 5.2 4.15 1.25 1.25 338.698 5a 42.4 76.5
10 4.2 4 1.05 1.05 263.676 5a 43.3 54.6
11 4 3.4 1.18 1.20 213.452 6 49.1 70.7
12 4 3.25 1.23 1.25 204.035 5a 42.4 76.5
13 4 4 1.00 1.00 251.120 5a 44.2 50.5
14 4.45 4 1.11 1.10 279.371 6 51.5 62.3
15 5.2 4 1.30 1.30 326.456 5a 42.6 83.3
16 4.2 3.9 1.08 1.10 257.084 5a 42.7 59.3
17 3.9 3.4 1.15 1.15 208.116 5b 42 48.6
18 4.45 3.9 1.14 1.15 272.387 5a 42.4 64.5
19 5.2 3.9 1.33 1.35 318.295 5a 43 90.8
20 4.2 3.4 1.24 1.25 224.125 5a 42.4 76.5
21 3.4 3.4 1.00 1.00 181.434 6 55.7 55.7
22 3.4 3.25 1.05 1.05 173.430 5a 43.3 54.6
23 4 3.4 1.18 1.20 213.452 5b 40.2 50.7
24 4.45 3.4 1.31 1.30 237.465 6 48 81
25 5.2 3.4 1.53 1.55 277.488 5a 45.2 126
26 4.2 4 1.05 1.05 263.676 4 35.4 39.2
27 4 3.4 1.18 1.20 213.452 5a 42.3 70.3
28 4 3.25 1.23 1.25 204.035 5a 42.4 76.5
29 4 4 1.00 1.00 251.120 5a 44.2 50.5
30 4.45 4 1.11 1.10 279.371 5b 44.3 46.9
31 5.2 4 1.30 1.30 326.456 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
15.7
3.8
4
3.2
ε 1.053
K [KN] 238.564
PARA LOSA 2
15.7 COEFICIENTES DE LAS TABLAS
3.8 mx
4.45 my
mex
3.2 mey
ε 1.171
K [KN] 265.40245
PARA LOSA 3
15.7 COEFICIENTES DE LAS TABLAS
3.8 mx
5.2 my
mex
3.2 mey
ε 1.368 Δ
K [KN] 310.1332
PARA LOSA 4
15.7 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] 273.56385 κ
PARA LOSA 5
15.7 COEFICIENTES DE LAS TABLAS
3.4 mx
4.15 my
mex
3.2 mey
ε 1.221
K [KN] 221.45645
PARA LOSA 6
15.7 COEFICIENTES DE LAS TABLAS
3.25 mx
4.15 my
mex
3.2 mey
ε 1.277
K [KN] 211.6863125
PARA LOSA 7
15.7 COEFICIENTES DE LAS TABLAS
4 mx
4.15 my
mex
3.2 mey
ε 1.038 Δ
K [KN] 260.537
PARA LOSA 8
15.7 COEFICIENTES DE LAS TABLAS
4.15 mx
4.45 my
mex
3.2 mey
ε 1.072 Δ
K [KN] 289.8474125
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 6.739 6.086 -15.592 -14.200 6.986
19.7 19.6 0.74 0.53 6.319 5.461 -13.472 -13.541 6.796
14.1 21.6 0.44 9.908 5.422 -21.995 -14.358 10.353
16 16 0.35 7.394 7.394 -17.098 -17.098 7.657
17.9 28.8 0.81 1.09 5.235 3.150 -12.372 -7.689 5.668
18.3 31.2 0.93 1.22 4.969 2.541 -11.568 -6.785 5.440
23 25.2 1.04 4.888 4.431 -11.328 -10.339 5.406
23 25.2 1.04 5.438 4.929 -12.602 -11.502 6.015
18.1 30 0.87 1.16 7.988 4.427 -18.713 -11.290 8.697
17.8 25.2 0.65 0.9 6.090 4.829 -14.813 -10.463 6.493
21.4 28.8 1.1 4.347 3.019 -9.974 -7.412 4.835
18.1 30 0.87 1.16 4.812 2.667 -11.273 -6.801 5.239
18 24 0.61 0.84 5.681 4.973 -13.951 -10.463 6.035
22.2 26.4 1.05 5.425 4.484 -12.584 -10.582 6.005
18.3 31.2 0.93 1.22 7.663 3.919 -17.839 -10.463 8.390
17.7 26.4 0.7 0.96 6.021 4.335 -14.525 -9.738 6.450
19.7 19.6 0.74 0.53 4.955 4.282 -10.564 -10.618 5.329
17.8 27.6 0.75 1.02 6.424 4.223 -15.303 -9.869 6.915
18.6 32.4 0.99 1.29 7.402 3.505 -17.113 -9.824 8.149
18.1 30 0.87 1.16 5.286 2.930 -12.383 -7.471 5.755
24 24 1.03 3.257 3.257 -7.560 -7.560 3.599
17.8 25.2 0.65 0.9 4.005 3.176 -9.743 -6.882 4.271
18.8 20.4 0.72 0.51 5.310 4.210 -11.354 -10.463 5.699
21.1 31.2 1.17 4.947 2.932 -11.254 -7.611 5.537
20.2 37.2 1.19 1.55 6.139 2.202 -13.737 -7.459 6.884
15.3 16.8 0.36 7.448 6.726 -17.234 -15.695 7.722
17.9 28.8 0.81 1.09 5.046 3.036 -11.925 -7.412 5.463
18.1 30 0.87 1.16 4.812 2.667 -11.273 -6.801 5.239
18 24 0.61 0.84 5.681 4.973 -13.951 -10.463 6.035
20.8 18.9 0.76 0.55 6.306 5.957 -13.431 -14.782 6.795
14 20.8 0.42 10.364 6.136 -23.318 -15.695 10.807
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
6.309 1
5.756 2
5.665 3
7.657 4
3.500 5 4 5
2.857 6
4.901 7
7.66
-17.
10
-12.
37 3.50
5.452 8
4.951 9 7.66
5.272 10
3.358 11 -17.10 -7.69
2.983 12 10 -14.81 11 -7.41
5.398 13
4.964 146.
49
-10.
46
-9.9
7 3.36
4.406 15
4.760 16 5.27
4.514 17
4.662 18 -14.81 -7.41
3.966 19 16 -14.52 17 -10.62
3.276 20
3.599 21
6.45
-9.7
4
-10.
56 4.51
3.468 22
4.429 23 4.76
3.281 24
2.550 25 -14.52 -10.62
6.973 26 20 -12.38 21 -7.56
3.374 27
2.983 28
5.75
-7.4
7
-7.5
6 3.60
5.398 29
6.291 30 3.28
6.399 31
MY MAX [KN-m/m]
-12.38 -7.56
26 -17.23 27 -7.41
7.72
-15.
69
-11.
92 3.37
6.97
1 2 3
MOMENTOS CALCULADOS
6.99
-14.
20
-13.
54 6.80
-13.
54
-14.
36 10.3
5
6.31 5.76 5.67
-15.59 -13.47 -22.00
6 7 -10.34 8 -12.60 9 -18.71
-12.
37
-11.
57 2.86
-11.
57
-11.
33 4.90
-11.
33
-11.
50 6.01
-11.
50
-11.
29 8.70
5.67 5.44 5.41 5.45 4.95
-7.69 -6.78 -10.34 -12.60 -18.71
-7.41 12 -6.80 13 -10.46 14 -12.58 15 -17.84
-9.9
7
-11.
27 2.98
-11.
27
-13.
95 5.40
-13.
95
-10.
58 6.01
-10.
58
-10.
46 8.39
4.83 5.24 6.03 4.96 4.41
-7.41 -12.58 -17.84
-10.62 18 -15.30 19 -17.11
6.92
-9.8
7
-9.8
2 8.15
5.33 4.66 3.97
-10.62 -15.30 -17.11
-7.56 22 23 24 -11.25 25 -13.74
-7.5
6
-9.7
4 3.47
-9.7
4
-10.
46 5.70
-10.
46
-7.6
1 5.54
-7.6
1
-7.4
6 6.88
3.60 4.27 4.43 3.28 2.55
-7.56 -6.88 -11.35 -11.25 -13.74
-7.41 28 -6.80 29 -10.46 30 -13.43 31 -23.32
-11.
92
-11.
27 2.98
-11.
27
-13.
95 5.40
-13.
95
-14.
78 6.79
-14.
78
-15.
70 10.8
1
5.46 5.24 6.03 6.29 6.40
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 14.20 12.07 13.54 CASO b) 13.87
LOSAS2 OBSERVACION
3 14.36 12.20 13.54 CASO b) 13.95
LOSAS4 OBSERVACION
5 17.10 14.53 12.37 CASO c) 14.53
LOSAS5 OBSERVACION
6 12.37 10.52 11.57 CASO b) 11.97
LOSAS6 OBSERVACION
7 11.57 9.83 11.33 CASO b) 11.45
LOSAS7 OBSERVACION
8 11.50 9.78 11.33 CASO b) 11.41
LOSAS8 OBSERVACION
9 11.50 9.78 11.29 CASO b) 11.40
LOSAS10 OBSERVACION
11 10.46 8.89 9.97 CASO b) 10.22
LOSAS11 OBSERVACION
12 11.27 9.58 9.97 CASO b) 10.62
LOSAS12 OBSERVACION
13 13.95 11.86 11.27 CASO c) 11.86
LOSAS13 OBSERVACION
14 13.95 11.86 10.58 CASO c) 11.86
LOSAS14 OBSERVACION
15 10.58 8.99 10.46 CASO b) 10.52
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 10.56 8.98 9.74 CASO b) 10.15
LOSAS18 OBSERVACION
19 9.87 8.39 9.82 CASO b) 9.85
LOSAS20 OBSERVACION
21 7.56 6.43 7.47 CASO b) 7.52
LOSAS21 OBSERVACION
22 9.74 8.28 7.56 CASO c) 8.28
LOSAS22 OBSERVACION
23 10.46 8.89 9.74 CASO b) 10.10
LOSAS23 OBSERVACION
24 10.46 8.89 7.61 CASO c) 8.89
LOSAS24 OBSERVACION
25 7.61 6.47 7.46 CASO b) 7.54
LOSAS26 OBSERVACION
27 15.69 13.34 11.92 CASO c) 13.34
LOSAS27 OBSERVACION
28 11.92 10.14 11.27 CASO b) 11.60
LOSAS28 OBSERVACION
29 13.95 11.86 11.27 CASO c) 11.86
LOSAS29 OBSERVACION
30 14.78 12.56 13.95 CASO b) 14.37
LOSAS30 OBSERVACION
31 15.70 13.34 14.78 CASO b) 15.24
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 22.00 18.70 18.71 CASO b) 20.35
LOSAS9 OBSERVACION
15 18.71 15.91 17.84 CASO b) 18.28
LOSAS15 OBSERVACION
19 17.84 15.16 17.11 CASO b) 17.48
LOSAS19 OBSERVACION
25 17.11 14.55 13.74 CASO c) 14.55
LOSAS25 OBSERVACION
31 23.32 19.82 13.74 CASO c) 19.82
LOSAS2 OBSERVACION
8 13.47 11.45 12.60 CASO b) 13.04
LOSAS8 OBSERVACION
14 12.60 10.71 12.58 CASO b) 12.59
LOSAS14 OBSERVACION
18 15.30 13.01 12.58 CASO c) 13.01
LOSAS18 OBSERVACION
24 15.30 13.01 11.25 CASO c) 13.01
LOSAS24 OBSERVACION
30 13.43 11.42 11.25 CASO c) 11.42
LOSAS1 OBSERVACION
7 15.59 13.25 10.34 CASO c) 13.25
LOSAS7 OBSERVACION
13 10.46 8.89 10.34 CASO b) 10.40
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 11.35 9.65 10.46 CASO b) 10.91
LOSAS6 OBSERVACION
12 6.80 5.78 6.78 CASO b) 6.79
LOSAS22 OBSERVACION
28 6.88 5.85 6.80 CASO b) 6.84
LOSAS5 OBSERVACION
11 7.69 6.54 7.41 CASO b) 7.55
LOSAS11 OBSERVACION
17 10.62 9.03 7.41 CASO c) 9.03
LOSAS17 OBSERVACION
21 10.62 9.03 7.56 CASO c) 9.03
LOSAS21 OBSERVACION
27 7.56 6.43 7.41 CASO b) 7.49
LOSAS4 OBSERVACION
10 17.10 14.53 14.81 CASO b) 15.96
LOSAS10 OBSERVACION
16 14.81 12.59 14.52 CASO b) 14.67
LOSAS16 OBSERVACION
20 14.52 12.35 12.38 CASO b) 13.45
LOSAS20 OBSERVACION
26 17.23 14.65 12.38 CASO c) 14.65
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
8.23
14.5
3
14.5
3 3.57
11.9
7
11.9
7 2.85
8.94 6.95 5.70
15.96 7.55 6.79
10 15.96 11 7.55 12 6.79
7.14
10.2
2
10.2
2 2.48
10.6
2
10.6
2 2.99
5.39 4.39 5.86
14.67 9.03
16 14.67 17 9.03
7.06
10.1
5
10.1
5 6.11
4.55 5.54
13.45 9.03
20 13.45 21 9.03 22
4.09
7.52
7.52 4.
37
8.28
8.28 3.
49
3.25 3.98 5.18
14.65 7.49 6.84
26 14.65 27 7.49 28 6.84
9.01
13.3
4
13.3
4 3.34
11.6
0
11.6
0 2.96
8.15 6.33 4.78
1 2 3
8.16
13.8
7
13.8
7 7.01
13.9
5
13.9
5
11.1
7
6.47 5.39 5.87
DE ARRIBA HACIA ABAJO
13.25 13.04 20.35 LOSA PAÑO ΔM1
7 13.25 8 13.04 9 20.35 3 EXTERNO
9 INTERNO 1.641
11.4
5
11.4
5 3.41
11.4
1
11.4
1 6.24
11.4
0
11.4
0 7.66
15 INTERNO 0.437
19 INTERNO 0.363
5.70 5.30 5.55 4.90 25 INTERNO 0.809
31 EXTERNO
10.40 12.59 18.28 2 EXTERNO
13 10.40 14 12.59 15 18.28 8 INTERNO 0.435
14 INTERNO 0.009
11.8
6
11.8
6 5.43
11.8
6
11.8
6 5.79
10.5
2
10.5
2 8.79
18 INTERNO 2.295
24 INTERNO 1.753
5.86 8.13 5.63 4.38 30 EXTERNO
1 EXTERNO
13.01 17.48 7 INTERNO 2.915
18 13.01 19 17.48 13 EXTERNO
23 EXTERNO
9.21
9.85
9.85 9.
61
29 EXTERNO
6 EXTERNO
4.67 3.96 12 EXTERNO
22 EXTERNO
13.01 14.55 28 EXTERNO
23 24 13.01 25 14.55 5 EXTERNO
11 INTERNO 0.139
10.1
0
10.1
0 5.92
8.89
8.89 4.
58
7.54
7.54 3.
44
17 INTERNO 1.593
21 INTERNO 1.466
5.18 5.39 3.96 2.51 27 EXTERNO
4 EXTERNO
10.91 11.42 19.82 10 INTERNO 1.142
29 10.91 30 11.42 31 19.82 16 INTERNO 0.144
20 INTERNO 1.071
11.8
6
11.8
6 5.18
14.3
7
14.3
7 7.80
15.2
4
15.2
4
12.5
6 26 EXTERNO
4.78 7.29 6.73 6.63
DE DERECHA A IZQUIERDA
LOSA PAÑO ΔM1
1 EXTERNO
2 INTERNO 0.330
3 EXTERNO
4 EXTERNO
5 INTERNO 2.161
6 INTERNO 0.402
7 INTERNO 0.120
8 INTERNO 0.087
9 EXTERNO
10 EXTERNO
11 INTERNO 0.244
12 INTERNO 0.649
13 INTERNO 2.093
14 INTERNO 1.276
15 EXTERNO
16 EXTERNO
17 EXTERNO
18 EXTERNO
19 EXTERNO
20 EXTERNO
21 INTERNO 0.044
22 INTERNO 1.461
23 INTERNO 0.360
24 INTERNO 1.283
25 EXTERNO
26 EXTERNO
27 INTERNO 1.416
28 INTERNO 0.326
29 INTERNO 2.093
30 INTERNO 0.415
31 EXTERNO
DE ARRIBA HACIA ABAJO
ΔM2 ΔM
0.821
0.437 1.039
0.363 0.400
2.567 1.465
6.084 3.446
1.749
0.218
0.009 0.222
0.423 0.216
2.295 2.295
0.162 0.958
1.007
1.169
0.062 1.489
0.031
0.223
0.223
0.004
0.004
0.020
0.020
0.069
1.614 0.876
1.593 1.593
0.074 0.770
0.037
0.571
0.144 0.643
1.071 0.608
2.266 1.669
1.293
DE DERECHA A IZQUIERDA
ΔM2 ΔM
0.165
0.409 0.369
0.204
1.282
0.402 1.282
0.120 0.261
0.087 0.104
0.106 0.097
0.053
0.122
0.649 0.447
0.586 0.617
2.093 2.093
0.059 0.668
0.030
0.207
0.207
0.011
0.011
0.022
0.722 0.383
0.360 0.911
1.569 0.965
0.076 0.679
0.038
1.177
0.326 0.871
0.586 0.456
0.415 1.254
0.457 0.436
0.228
MOMENTOS COMPATIBILIZADOS
1 2 3
8.15
6
13.8
71
13.8
71 7.01
3
13.9
49
13.9
49
6.474 5.387
13.254 13.037
4 5 6 7 13.254 8 13.037 9
8.22
9
14.5
33
14.5
33 3.57
0
11.9
70
11.9
70 2.85
3
11.4
48
11.4
48 3.41
2
11.4
15
11.4
15 6.23
7
11.3
96
11.3
96
8.940 6.949 5.701 5.303 5.549
15.955 7.550 6.793 10.401 12.593
10 15.955 11 7.550 12 6.793 13 10.401 14 12.593 15
7.13
6
10.2
19
10.2
19 2.48
1
10.6
24
10.6
24 2.98
7
11.8
58
11.8
58 5.43
0
11.8
58
11.8
58 5.78
9
10.5
23
10.5
23
5.395 4.388 5.856 8.127 5.632
14.669 9.025 13.007
16 14.669 17 9.025 18 13.007 19
7.05
8
10.1
51
10.1
51 6.10
6
9.21
1
9.84
6
9.84
6
4.553 5.535 4.673
13.454 9.025 13.007
20 13.454 21 9.025 22 23 24 13.007 25
4.08
6
7.51
5
7.51
5
4.36
9
8.28
2
8.28
2
3.48
8
10.1
03
10.1
03
5.92
2
8.89
4
8.89
4
4.58
0
7.53
5
7.53
5
3.254 3.983 5.181 5.394 3.961
14.649 7.486 6.842 10.909 11.41726 14.649 27 7.486 28 6.842 29 10.909 30 11.417 31
9.01
4
13.3
41
13.3
41
3.33
7
11.5
99
11.5
99
2.96
2
11.8
58
11.8
58
5.17
6
14.3
66
14.3
66
7.80
2
15.2
38
15.2
38
9.01
4
13.3
41
13.3
41
3.33
7
11.5
99
11.5
99
2.96
2
11.8
58
11.8
58
5.17
6
14.3
66
14.3
66
7.80
2
15.2
38
15.2
38
8.150 6.334 4.783 7.289 6.727
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMEN
PARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]
8.33 16666.67RECUBRIMIENTO MECANICO r [cm]
2.00 347826.09LONGITUD DESFAVORABLE
10.33 1.74 ALTURA h [cm]
12.50 1.67 LOSA
3.20 34.78 ALTURA UTIL d [cm]
11.1
74 15.70
5.869
20.354 CALCULO A FLEXION
20.354
7.65
8
MOMENTO [KN-m/m] μ α β z
4.898 MD-DE 6.47 0.0152 0.0191 0.9924 15.8777 1.1723
MD-E 13.87 0.0325 0.0413 0.9835 15.7356 2.5343
18.276 MD-EF 5.39 0.0126 0.0159 0.9936 15.8983 0.9742
18.276 MD-F 13.95 0.0327 0.0416 0.9834 15.7340 2.5489
MD-FG 5.87 0.0138 0.0173 0.9931 15.8892 1.0620
8.79
0
MD-AB 8.940 0.0210 0.0265 0.9894 15.8306 1.6236
4.377 MD-B 14.533 0.0341 0.0433 0.9827 15.7227 2.6575
MD-BC 6.949 0.0163 0.0205 0.9918 15.8686 1.2591
17.476 MD-C 11.970 0.0281 0.0356 0.9858 15.7723 2.1819
17.476 MD-CD 5.701 0.0134 0.0168 0.9933 15.8924 1.0314
MD-D 11.448 0.0268 0.0340 0.9864 15.7824 2.0854
9.61
4 MD-DE 5.303 0.0124 0.0156 0.9937 15.8999 0.9589
MD-E 11.415 0.0268 0.0339 0.9864 15.7830 2.0793
3.955 MD-EF 5.549 0.0130 0.0164 0.9935 15.8953 1.0036
MD-F 11.396 0.0267 0.0338 0.9865 15.7834 2.0758
14.546 MD-FG 4.898 0.0115 0.0144 0.9942 15.9076 0.8852
14.546
MD-AB 5.395 0.0126 0.0159 0.9936 15.8982 0.9755
3.43
8 MD-B 10.219 0.0240 0.0303 0.9879 15.8060 1.8587
MD-BC 4.388 0.0103 0.0129 0.9948 15.9173 0.7926
2.512 MD-C 10.624 0.0249 0.0315 0.9874 15.7983 1.9333MD-CD 5.856 0.0137 0.0173 0.9931 15.8894 1.0596
19.821 MD-D 11.858 0.0278 0.0352 0.9859 15.7745 2.161319.821 MD-DE 8.127 0.0190 0.0240 0.9904 15.8461 1.4746
MD-E 11.858 0.0278 0.0352 0.9859 15.7745 2.1613
12.5
56 MD-EF 5.632 0.0132 0.0166 0.9934 15.8937 1.0188
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]
12.5
56MD-F 10.523 0.0247 0.0312 0.9875 15.8002 1.9147
6.627 MD-FG 4.377 0.0103 0.0129 0.9948 15.9175 0.7905
MD-AB 4.553 0.0107 0.0134 0.9946 15.9142 0.8225
MD-B 10.151 0.0238 0.0301 0.9880 15.8073 1.8463
MD-BC 5.535 0.0130 0.0163 0.9935 15.8955 1.0012
MD-EF 4.673 0.0110 0.0138 0.9945 15.9119 0.8444
MD-F 9.846 0.0231 0.0292 0.9883 15.8132 1.7902
MD-FG 3.955 0.0093 0.0116 0.9953 15.9255 0.7140
MOMENTO [KN-m/m] μ α β z
MD-AB 3.254 0.0076 0.0096 0.9962 15.9388 0.5869MD-B 7.515 0.0176 0.0222 0.9911 15.8578 1.3625
MD-BC 3.983 0.0093 0.0117 0.9953 15.9250 0.7190
MD-C 8.282 0.0194 0.0245 0.9902 15.8432 1.5029
MD-CD 5.181 0.0121 0.0153 0.9939 15.9023 0.9368MD-D 10.103 0.0237 0.0300 0.9880 15.8083 1.8375
MD-DE 5.394 0.0126 0.0159 0.9936 15.8982 0.9754MD-E 8.894 0.0208 0.0263 0.9895 15.8315 1.6151
MD-EF 3.961 0.0093 0.0117 0.9953 15.9254 0.7150
MD-F 7.535 0.0177 0.0223 0.9911 15.8574 1.3662MD-FG 2.512 0.0059 0.0074 0.9970 15.9528 0.4528
MD-AB 8.150 0.0191 0.0241 0.9904 15.8457 1.4788MD-B 13.341 0.0313 0.0397 0.9841 15.7458 2.4359
MD-BC 6.334 0.0148 0.0187 0.9925 15.8803 1.1467
MD-C 11.599 0.0272 0.0345 0.9862 15.7795 2.1133MD-CD 4.783 0.0112 0.0141 0.9944 15.9098 0.8643MD-D 11.858 0.0278 0.0352 0.9859 15.7745 2.1613
MD-DE 7.289 0.0171 0.0215 0.9914 15.8621 1.3211
MD-E 14.366 0.0337 0.0428 0.9829 15.7259 2.6264
MD-EF 6.727 0.0158 0.0199 0.9921 15.8729 1.2184MD-F 15.238 0.0357 0.0455 0.9818 15.7090 2.7889
MD-FG 6.627 0.0155 0.0196 0.9922 15.8748 1.2003
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
`
3.2 3.067 3.20 MD-DE
3.2 3.067 3.20 MD-E TRAMO EF
3.2 3.067 3.20 MD-EF APOYO E
3.2 3.067 3.20 MD-F APOYO F
3.2 3.067 3.20 MD-FG
3.2 3.067 3.20 MD-AB
3.2 3.067 3.20 MD-B TRAMO FG
3.2 3.067 3.20 MD-BC APOYO F
3.2 3.067 3.20 MD-C
3.2 3.067 3.20 MD-CD
3.2 3.067 3.20 MD-D TRAMO FG
3.2 3.067 3.20 MD-DE APOYO F
3.2 3.067 3.20 MD-E
3.2 3.067 3.20 MD-EF TRAMO 4-5
3.2 3.067 3.20 MD-F
3.2 3.067 3.20 MD-FG
TRAMO AB
3.2 3.067 3.20 MD-AB APOYO B
3.2 3.067 3.20 MD-B
3.2 3.067 3.20 MD-BC
3.2 3.067 3.20 MD-C TRAMO AB3.2 3.067 3.20 MD-CD APOYO B3.2 3.067 3.20 MD-D3.2 3.067 3.20 MD-DE3.2 3.067 3.20 MD-E3.2 3.067 3.20 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 MD-F APOYO B
3.2 3.067 3.20 MD-FG APOYO C`
3.2 3.067 3.20 MD-AB
3.2 3.067 3.20 MD-B TRAMO BC
3.2 3.067 3.20 MD-BC APOYO B
APOYO C
3.2 3.067 3.20 MD-EF
3.2 3.067 3.20 MD-F
3.2 3.067 3.20 MD-FG
TRAMO CD
APOYO C
APOYO D
CUANTIA CUANTIA `
GEOMETRICA MECANICA
TRAMO CD
APOYO C
3.2 3.067 3.20 MD-AB APOYO D3.2 3.067 3.20 MD-B3.2 3.067 3.20 MD-BC
3.2 3.067 3.20 MD-C
3.2 3.067 3.20 MD-CD TRAMO DE3.2 3.067 3.20 MD-D APOYO D3.2 3.067 3.20 MD-DE APOYO E3.2 3.067 3.20 MD-E `
3.2 3.067 3.20 MD-EF
3.2 3.067 3.20 MD-F TRAMO DE3.2 3.067 3.20 MD-FG APOYO D
APOYO E3.2 3.067 3.20 MD-AB3.2 3.067 3.20 MD-B
3.2 3.067 3.20 MD-BC
3.2 3.067 3.20 MD-C TRAMO EF3.2 3.067 3.20 MD-CD APOYO E3.2 3.067 3.20 MD-D APOYO F3.2 3.067 3.20 MD-DE `
3.2 3.067 3.20 MD-E
3.2 3.067 3.20 MD-EF TRAMO EF3.2 3.067 3.20 MD-F APOYO E3.2 3.067 3.20 MD-FG APOYO F
TRAMO FG
APOYO F
TRAMO FG
APOYO F
ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)
ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]
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
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
6.47 3.52 19.43 -12.96 CUMPLE -0.32 CUMPLE
13.871 1.51 8.25 5.62 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.39 3.52 19.46 -14.07 CUMPLE -0.32 CUMPLE
5.617 1.51 8.25 -2.64 CUMPLE 0.18 CUMPLE
13.949 1.51 8.25 5.70 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.87 3.52 19.45 -13.58 CUMPLE -0.32 CUMPLE
5.697 1.51 8.25 -2.56 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
8.94 3.52 19.37 -10.43 CUMPLE -0.32 CUMPLE14.533 1.51 8.25 6.29 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
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]
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
6.95 3.52 19.42 -12.47 CUMPLE -0.32 CUMPLE
6.286 1.51 8.25 -1.96 CUMPLE 0.18 CUMPLE
11.970 1.51 8.27 3.70 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.70 3.52 19.45 -13.75 CUMPLE -0.32 CUMPLE
3.697 1.51 8.27 -4.58 CUMPLE 0.18 CUMPLE
11.448 1.51 8.28 3.17 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 301.69 8 0.503 3.00 15.003.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.30 3.52 19.46 -14.16 CUMPLE -0.32 CUMPLE3.170 1.51 8.28 -5.11 CUMPLE 0.18 CUMPLE
11.415 1.51 8.28 3.14 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 301.69 8 0.503 3.00 15.003.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.55 3.52 19.45 -13.90 CUMPLE -0.32 CUMPLE3.136 1.51 8.28 -5.14 CUMPLE 0.18 CUMPLE
11.396 1.51 8.28 3.12 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
4.90 3.52 19.47 -14.57 CUMPLE -0.32 CUMPLE
3.117 1.51 8.28 -5.16 CUMPLE 0.18 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]
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.39 3.52 19.46 -14.06 CUMPLE -0.32 CUMPLE
10.219 1.51 8.29 1.93 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
4.39 3.52 19.48 -15.09 CUMPLE -0.32 CUMPLE
1.928 1.51 8.29 -6.36 CUMPLE 0.18 CUMPLE
10.624 1.51 8.29 2.34 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.86 3.52 19.45 -13.59 CUMPLE -0.32 CUMPLE
2.337 1.51 8.29 -5.95 CUMPLE 0.18 CUMPLE
11.858 1.51 8.27 3.58 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
8.13 3.52 19.39 -11.27 CUMPLE -0.32 CUMPLE
3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE
11.858 1.51 8.27 3.58 ARMADURA EXTRA 1.69 ARMADURA EXTRA
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]
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.63 3.52 19.45 -13.82 CUMPLE -0.32 CUMPLE
3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE
10.523 1.51 8.29 2.24 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
4.38 3.52 19.48 -15.10 CUMPLE -0.32 CUMPLE
2.235 1.51 8.29 -6.05 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
4.55 3.52 19.48 -14.92 CUMPLE -0.32 CUMPLE
10.151 1.51 8.29 1.86 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.54 3.52 19.45 -13.92 CUMPLE -0.32 CUMPLE
1.860 1.51 8.29 -6.43 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
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]
OBSERVACION OBSERVACION
4.67 3.52 19.47 -14.80 CUMPLE -0.32 CUMPLE
9.846 1.51 8.29 1.55 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
3.96 3.52 19.49 -15.54 CUMPLE -0.32 CUMPLE
1.552 1.51 8.29 -6.74 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
3.25 3.52 19.51 -16.25 CUMPLE -0.32 CUMPLE
7.515 1.51 8.32 -0.80 CUMPLE 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
3.98 3.52 19.49 -15.51 CUMPLE -0.32 CUMPLE
-0.802 1.51 8.32 -9.12 CUMPLE 0.18 CUMPLE
8.282 1.51 8.31 -0.03 CUMPLE 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.18 3.52 19.46 -14.28 CUMPLE -0.32 CUMPLE
-0.028 1.51 8.31 -8.34 CUMPLE 0.18 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]
10.103 1.51 8.29 1.81 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
5.39 3.52 19.46 -14.06 CUMPLE -0.32 CUMPLE
1.812 1.51 8.29 -6.48 CUMPLE 0.18 CUMPLE
8.894 1.51 8.30 0.59 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
3.96 3.52 19.49 -15.53 CUMPLE -0.32 CUMPLE
0.590 1.51 8.30 -7.71 CUMPLE 0.18 CUMPLE
7.535 1.51 8.32 -0.78 CUMPLE 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
2.51 3.52 19.52 -17.01 CUMPLE -0.32 CUMPLE
-0.782 1.51 8.32 -9.10 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
8.15 3.52 19.39 -11.24 CUMPLE -0.32 CUMPLE
13.341 1.51 8.26 5.08 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
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]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
6.33 3.52 19.44 -13.10 CUMPLE -0.32 CUMPLE
5.082 1.51 8.26 -3.18 CUMPLE 0.18 CUMPLE
11.599 1.51 8.28 3.32 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
4.78 3.52 19.47 -14.69 CUMPLE -0.32 CUMPLE
3.322 1.51 8.28 -4.95 CUMPLE 0.18 CUMPLE
11.858 1.51 8.27 3.58 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
7.29 3.52 19.41 -12.12 CUMPLE -0.32 CUMPLE
3.585 1.51 8.27 -4.69 CUMPLE 0.18 CUMPLE
14.366 1.51 8.25 6.12 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
3.20 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
6.73 3.52 19.43 -12.70 CUMPLE -0.32 CUMPLE
6.118 1.51 8.25 -2.13 CUMPLE 0.18 CUMPLE
15.238 1.51 8.24 7.00 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
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]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
3.20 8 0.503 6.37 7.00 14.29 15.00 8 c / 30
1.69 8 0.503 3.00 15.00
OBSERVACION OBSERVACION
6.63 3.52 19.43 -12.80 CUMPLE -0.32 CUMPLE
6.999 1.51 8.24 -1.24 CUMPLE 0.18 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]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30 8 c / 30 8 c / 30
8 c / 30 8 c / 30 8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
AS1 DOBLADO [cm2/m]
8 c / 30
8 c / 30
AS1 DOBLADO [cm2/m]
MOMENTOS COMPATIBILIZADOS
1 2 3
8.15
6
13.8
71
13.8
71
7.01
3
13.9
49
13.9
49
6.474 5.387
13.254 13.037
4 5 6 7 13.254 8 13.037 9
8.22
9
14.5
33
14.5
33
3.57
0
11.9
70
11.9
70
2.85
3
11.4
48
11.4
48
3.41
2
11.4
15
11.4
15
6.23
7
11.3
96
11.3
96
8.940 6.949 5.701 5.303 5.549
15.955 7.550 6.793 10.401 12.59310 15.955 11 7.550 12 6.793 13 10.401 14 12.593 15
7.13
6
10.2
19
10.2
19
2.48
1
10.6
24
10.6
24
2.98
7
11.8
58
11.8
58
5.43
0
11.8
58
11.8
58
5.78
9
10.5
23
10.5
23
5.395 4.388 5.856 8.127 5.632
14.669 9.025 13.00716 14.669 17 9.025 18 13.007 19
7.05
8
10.1
51
10.1
51
6.10
6
9.21
1
9.84
6
9.84
6
4.553 5.535 4.673
13.454 9.025 13.007
20 13.454 21 9.025 22 23 24 13.007 25
4.08
6
7.51
5
7.51
5
4.36
9
8.28
2
8.28
2
3.48
8
10.1
03
10.1
03
5.92
2
8.89
4
8.89
4
4.58
0
7.53
5
7.53
53.254 3.983 5.181 5.394 3.961
14.649 7.486 6.842 10.909 11.41726 14.649 27 7.486 28 6.842 29 10.909 30 11.417 31
9.01
4
13.3
41
13.3
41
3.33
7
11.5
99
11.5
99
2.96
2
11.8
58
11.8
58
5.17
6
14.3
66
14.3
66
7.80
2
15.2
38
15.2
38
8.150 6.334 4.783 7.289 6.727
RESUMEN DE CALCULOS PREVIOS
TABLA RESUMEN TABLA RESUMEN TABLA RESUMENPARA TODAS LAS LOSAS PARA TODAS LAS LOSAS BASE b [cm]
8.33 16666.67 RECUBRIMIENTO MECANICO r [cm]
2.00 347826.09 LONGITUD DESFAVORABLE
10.33 1.74 ALTURA h [cm]
12.50 1.67 LOSA
3.20 34.78 ALTURA UTIL d [cm]
11.1
74 15.70
5.869
20.354 CALCULO A FLEXION
20.354
7.65
8
MOMENTO [KN-m/m] μ α β z
4.898 MD-65 11.17 0.0262 0.0332 0.9867 15.7877 2.0347
MD-5 20.35 0.0477 0.0611 0.9755 15.6088 3.749018.276 MD-54 7.66 0.0179 0.0226 0.9909 15.8551 1.388618.276 MD-4 18.28 0.0428 0.0547 0.9781 15.6497 3.3575
MD-43 8.79 0.0206 0.0260 0.9896 15.8335 1.5960
8.79
0 MD-3 17.476 0.0410 0.0523 0.9791 15.6653 3.2073
MD-32 9.614 0.0225 0.0285 0.9886 15.8177 1.7475
4.377 MD-2 14.546 0.0341 0.0434 0.9827 15.7225 2.6598MD-21 3.438 0.0081 0.0101 0.9960 15.9353 0.6202
17.476 MD-1 19.821 0.0465 0.0595 0.9762 15.6193 3.648317.476 MD-10 12.556 0.0294 0.0373 0.9851 15.7610 2.2904
9.61
4 MD-65 7.013 0.0164 0.0207 0.9917 15.8674 1.2707
MD-5 13.037 0.0306 0.0388 0.9845 15.7517 2.37953.955 MD-54 6.237 0.0146 0.0184 0.9926 15.8822 1.1289
MD-4 12.593 0.0295 0.0375 0.9850 15.7603 2.297314.546 MD-43 5.789 0.0136 0.0171 0.9932 15.8907 1.0474
14.546 MD-3 13.007 0.0305 0.0387 0.9845 15.7523 2.3740
MD-32 9.211 0.0216 0.0273 0.9891 15.8254 1.6733
3.43
8 MD-2 13.007 0.0305 0.0387 0.9845 15.7523 2.3740MD-21 4.580 0.0107 0.0135 0.9946 15.9137 0.8274
2.512 MD-1 11.417 0.0268 0.0339 0.9864 15.7830 2.0796MD-10 7.802 0.0183 0.0231 0.9908 15.8523 1.4150
19.82119.821 MD-65 8.156 0.0191 0.0241 0.9903 15.8456 1.4798
MD-5 13.254 0.0311 0.0395 0.9842 15.7475 2.4197
12.5
56 MD-54 3.412 0.0080 0.0100 0.9960 15.9358 0.6156
MD-4 10.401 0.0244 0.0309 0.9877 15.8025 1.8923
6.627 MD-43 5.430 0.0127 0.0160 0.9936 15.8975 0.9819
MD-21 5.922 0.0139 0.0175 0.9930 15.8882 1.0716MD-1 10.909 0.0256 0.0324 0.9870 15.7928 1.9859
MD-10 5.176 0.0121 0.0153 0.9939 15.9024 0.9357
MD-54 2.853 0.0067 0.0084 0.9966 15.9463 0.5144MD-4 6.793 0.0159 0.0201 0.9920 15.8716 1.2305
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-43 2.987 0.0070 0.0088 0.9965 15.9438 0.5385
MD-21 3.488 0.0082 0.0103 0.9959 15.9343 0.6293
MD-1 6.842 0.0160 0.0202 0.9919 15.8707 1.2394
MD-10 2.962 0.0069 0.0087 0.9965 15.9443 0.5341
MD-54 3.570 0.0084 0.0105 0.9958 15.9328 0.6441
MD-4 7.550 0.0177 0.0223 0.9911 15.8572 1.3690
MD-43 2.481 0.0058 0.0073 0.9971 15.9533 0.4472MD-3 9.0254 0.0212 0.0267 0.9893 15.8289 1.6393
MD-32 6.1063 0.0143 0.0180 0.9928 15.8847 1.1052MD-2 9.0254 0.0212 0.0267 0.9893 15.8289 1.6393
MD-21 4.3693 0.0102 0.0129 0.9949 15.9177 0.7892MD-1 7.4856 0.0175 0.0221 0.9911 15.8584 1.3571
MD-10 3.3366 0.0078 0.0098 0.9961 15.9372 0.6019
MD-54 8.229 0.0193 0.0243 0.9903 15.8442 1.4931MD-4 15.955 0.0374 0.0477 0.9809 15.6950 2.9227
MD-43 7.136 0.0167 0.0211 0.9916 15.8651 1.2932
MD-3 14.669 0.0344 0.0437 0.9825 15.7201 2.6828MD-32 7.058 0.0165 0.0209 0.9917 15.8665 1.2789MD-2 13.454 0.0315 0.0401 0.9840 15.7436 2.4568
MD-21 4.086 0.0096 0.0120 0.9952 15.9230 0.7378
MD-1 14.649 0.0343 0.0437 0.9825 15.7205 2.6790
MD-10 9.014 0.0211 0.0267 0.9893 15.8292 1.6372
ARMADURAS LONGITUDINALES
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO DE 3.20 8 0.503 6.37 7.00APOYO D #REF! 8 0.503 3.50
APOYO E 3.75 8 0.503 3.50
OBSERVACION
TRAMO DE 11.17 3.52 19.32 -8.15 CUMPLEAPOYO D #REF! 1.76 #REF! #REF! #REF!
APOYO E 20.35 1.76 9.55 10.80 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO EF 3.20 8 0.503 6.37 8.00APOYO E 1.99 8 0.503 4.00APOYO F 3.36 8 0.503 4.00
OBSERVACION
TRAMO EF 7.66 4.02 22.18 -14.52 CUMPLEAPOYO E 10.802 2.01 10.92 -0.11 CUMPLEAPOYO F 18.28 2.01 10.94 7.33 ARMADURA EXTRA
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO FG 3.20 12 1.131 2.83 3.00
APOYO F 1.35 12 1.131 2.00
APOYO G 3.21 12 1.131 2.00
OBSERVACION
TRAMO FG 8.79 3.39 18.69 -9.90 CUMPLE
APOYO F 7.331 2.26 12.31 -4.98 CUMPLE
APOYO G 17.48 2.26 12.32 5.15 ARMADURA EXTRA
CALCULO DE ARMADURA PARA SUPLES N° PIEZAS/m
φ CALCULADO ADOPTADO
APOYO F 0.00 6 0.283 0.00 0.00
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
OBSERVACION
APOYO F -4.98 0.00 0.00 -4.98 CUMPLE
ARMADURAS TRANSVERSALES
N° PIEZAS/m
φ CALCULADO ADOPTADO
APOYO D #REF! 6 0.283 #REF! #REF!
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO DE 0.00 6 0.283 0.00 0.00
N° PIEZAS/m
φ CALCULADO ADOPTADO
APOYO E 0.00 6 0.283 0.00 0.00
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO EF 0.00 6 0.283 0.00 0.00
N° PIEZAS/m
φ CALCULADO ADOPTADO
APOYO F 0.00 6 0.283 0.00 0.00
N° PIEZAS/m
φ CALCULADO ADOPTADO
TRAMO FG 0.00 6 0.283 0.00 0.00
N° PIEZAS/m
φ CALCULADO ADOPTADO
APOYO G 0.00 6 0.283 0.00 0.00
MFINAL [KN-m/m]A#φ [cm2] MABS [KN-m] ΔM [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
AS1 FINAL [cm2/m] Aφ [cm2]
ARMADURAS LONGITUDINALESTABLA RESUMEN TRAMO F-G
100
2
520 TRAMO 6-5 3.20
16.90 APOYO 5 3.75
18.00
16.00
TRAMO 6-5 11.17
APOYO 5 20.354
CUANTIA CUANTIA TRAMO 5-4 3.20GEOMETRICA MECANICA APOYO 5 1.39
APOYO 4 3.36
MOMENTO `
3.2 3.067 3.20 MD-65
3.2 3.067 3.75 MD-5 TRAMO 5-4 7.663.2 3.067 3.20 MD-54 APOYO 5 7.5623.2 3.067 3.36 MD-4 APOYO 4 18.2763.2 3.067 3.20 MD-433.2 3.067 3.21 MD-3
3.2 3.067 3.20 MD-32
3.2 3.067 3.20 MD-2 TRAMO 4-3 3.203.2 3.067 3.20 MD-21 APOYO 4 1.853.2 3.067 3.65 MD-1 APOYO 3 3.213.2 3.067 3.20 MD-10 `
3.2 3.067 3.20 MD-65 TRAMO 4-3 8.79
3.2 3.067 3.20 MD-5 APOYO 4 10.0673.2 3.067 3.20 MD-54 APOYO 3 17.4763.2 3.067 3.20 MD-43.2 3.067 3.20 MD-43
3.2 3.067 3.20 MD-3
3.2 3.067 3.20 MD-32 TRAMO 3-2 3.20
3.2 3.067 3.20 MD-2 APOYO 3 0.853.2 3.067 3.20 MD-21 APOYO 2 3.203.2 3.067 3.20 MD-1 `3.2 3.067 3.20 MD-10
TRAMO 3-2 9.613.2 3.067 3.20 MD-65 APOYO 3 4.6373.2 3.067 3.20 MD-5 APOYO 2 14.5463.2 3.067 3.20 MD-54
3.2 3.067 3.20 MD-4
3.2 3.067 3.20 MD-43TRAMO 2-1 3.20
3.2 3.067 3.20 MD-21 APOYO 2 1.693.2 3.067 3.20 MD-1 APOYO 1 3.653.2 3.067 3.20 MD-10 `
3.2 3.067 3.20 MD-54 TRAMO 2-1 3.443.2 3.067 3.20 MD-4 APOYO 2 6.299
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
ASMIN=ρMIN*b*d ASMIN=0.04*b*d*(fCD/fYD)
ASMIN [cm2] ASMIN [cm2] AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
3.2 3.067 3.20 MD-43 APOYO 1 19.821
3.2 3.067 3.20 MD-21
3.2 3.067 3.20 MD-1
3.2 3.067 3.20 MD-10 TRAMO 1-0 3.20APOYO 1 1.85
3.2 3.067 3.20 MD-54
3.2 3.067 3.20 MD-4
3.2 3.067 3.20 MD-43 TRAMO 1-0 12.563.2 3.067 3.20 MD-3 APOYO 1 10.0673.2 3.067 3.20 MD-323.2 3.067 3.20 MD-23.2 3.067 3.20 MD-21 TRAMO E-F3.2 3.067 3.20 MD-1
3.2 3.067 3.20 MD-10
TRAMO 6-5 3.203.2 3.067 3.20 MD-54 APOYO 5 3.203.2 3.067 3.20 MD-4
3.2 3.067 3.20 MD-43
3.2 3.067 3.20 MD-3 TRAMO 6-5 7.013.2 3.067 3.20 MD-32 APOYO 5 13.0373.2 3.067 3.20 MD-23.2 3.067 3.20 MD-21
3.2 3.067 3.20 MD-1
3.2 3.067 3.20 MD-10 TRAMO 5-4 3.20APOYO 5 1.69APOYO 4 3.20
`
TRAMO 5-4 6.24APOYO 5 4.775APOYO 4 12.593
TRAMO 4-3 3.20APOYO 4 1.69APOYO 3 3.20
`
TRAMO 4-3 5.79APOYO 4 4.327APOYO 3 13.007
TRAMO 3-2 3.20APOYO 3 1.69APOYO 2 3.20
`
TRAMO 3-2 9.21APOYO 3 4.745APOYO 2 13.007
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
TRAMO 2-1 3.20APOYO 2 1.69APOYO 1 3.20
`
TRAMO 2-1 4.58APOYO 2 4.745APOYO 1 11.417
TRAMO 1-0 3.20APOYO 1 1.69
TRAMO 1-0 7.80APOYO 1 4.327
TRAMO D-E
TRAMO 6-5 3.20APOYO 5 3.20
TRAMO 6-5 8.16APOYO 5 13.254
TRAMO 5-4 3.20APOYO 5 1.69APOYO 4 3.20
`
TRAMO 5-4 3.41APOYO 5 4.994APOYO 4 10.401
TRAMO 4-3 3.20APOYO 4 1.69
TRAMO 4-3 5.43APOYO 4 2.112
TRAMO 2-1 3.20APOYO 1 3.20
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
TRAMO 2-1 5.92APOYO 1 10.909
TRAMO 1-0 3.20APOYO 1 1.69
TRAMO 1-0 5.18APOYO 1 2.625
TRAMO C-D
ESPACIAMIENTO [cm]
CALCULADO ADOPTADO TRAMO 5-4 3.20
14.29 15.00 φ 8 c / 30 φ 8 c / 30 APOYO 4 3.2015.00 φ 8 c / 30
15.00 φ 8 c / 30
TRAMO 5-4 2.85
OBSERVACION APOYO 4 6.793
-0.32 CUMPLE#REF! #REF!
1.99 ARMADURA EXTRA
TRAMO 4-3 3.20
APOYO 4 2.19
ESPACIAMIENTO [cm]
CALCULADO ADOPTADO
12.50 13.00 φ 8 c / 26 φ 8 c / 26 TRAMO 4-3 2.9913.00 φ 8 c / 26 APOYO 4 1.24313.00 φ 8 c / 26
OBSERVACION
-0.82 CUMPLE TRAMO 2-1 3.20-0.02 CUMPLE APOYO 1 3.201.35 ARMADURA EXTRA
TRAMO 2-1 3.49ESPACIAMIENTO [cm] APOYO 1 6.84
CALCULADO ADOPTADO
33.33 34.00 φ 12 c / 68 φ 12 c / 68
34.00 φ 12 c / 68
34.00 φ 12 c / 68 TRAMO 1-0 3.20CALCULO DE ARMA APOYO 1 2.19
OBSERVACION
-0.19 CUMPLE
-0.92 CUMPLE TRAMO 1-0 2.96
0.95 ARMADURA EXTRA n APOYO 1 1.292
ESPACIAMIENTO [cm] TRAMO B-C
CALCULADO ADOPTADO
#DIV/0! #DIV/0! #DIV/0!
TRAMO 5-4 3.20
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m]
MFINAL [KN-m/m]
ΔAφ [cm2]
AS1 FINAL [cm2/m]
AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m] MFINAL [KN-m/m]
ΔAφ [cm2] AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 RECTO [cm2/m]AS1 DOBLADO [cm2/m]
AS1 FINAL [cm2/m]
ΔAφ [cm2] AF [cm2]
AEF [cm2] MFINAL [KN-m/m]
NECESITA ASUPLES AFG [cm2]
AS1 RECTO [cm2/m]
AS1 FINAL [cm2/m]
OBSERVACION APOYO 4 3.20
0.00 CUMPLE
TRAMO 5-4 3.57APOYO 4 7.550
ESPACIAMIENTO [cm]
CALCULADO ADOPTADO
#REF! #REF! #REF! TRAMO 4-3 3.20APOYO 4 2.19
ESPACIAMIENTO [cm] APOYO 3 3.20
CALCULADO ADOPTADO `
#DIV/0! #DIV/0! #DIV/0!
TRAMO 4-3 2.48ESPACIAMIENTO [cm] APOYO 4 2.006
CALCULADO ADOPTADO APOYO 3 9.025
#DIV/0! #DIV/0! #DIV/0!
ESPACIAMIENTO [cm]
CALCULADO ADOPTADO TRAMO 3-2 3.20
#DIV/0! #DIV/0! #DIV/0! APOYO 3 1.69APOYO 2 3.20
ESPACIAMIENTO [cm] `
CALCULADO ADOPTADO
#DIV/0! #DIV/0! #DIV/0! TRAMO 3-2 6.11APOYO 3 0.723
ESPACIAMIENTO [cm] APOYO 2 9.025
CALCULADO ADOPTADO
#DIV/0! #DIV/0! #DIV/0!
ESPACIAMIENTO [cm] TRAMO 2-1 3.20
CALCULADO ADOPTADO APOYO 2 1.69
#DIV/0! #DIV/0! #DIV/0! APOYO 1 3.20`
TRAMO 2-1 4.37APOYO 2 0.723APOYO 1 7.486
TRAMO 1-0 3.20APOYO 1 2.19
TRAMO 1-0 3.34APOYO 1 2.006
TRAMO A-B
TRAMO 5-4 3.20APOYO 4 3.20
ΔAφ [cm2]
MFINAL [KN-m/m]
AS1 TRANS [cm2/m] AS1 FINAL [cm2/m]
AS1 TRANS [cm2/m]
MFINAL [KN-m/m]
AS1 TRANS [cm2/m]
AS1 FINAL [cm2/m]
AS1 TRANS [cm2/m]
AS1 TRANS [cm2/m] MFINAL [KN-m/m]
AS1 TRANS [cm2/m]
AS1 FINAL [cm2/m]
AS1 TRANS [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
TRAMO 5-4 8.23APOYO 4 15.955
TRAMO 4-3 3.20APOYO 4 1.69APOYO 3 3.20
`
TRAMO 4-3 7.14APOYO 4 7.723APOYO 3 14.669
TRAMO 3-2 3.20APOYO 3 1.69APOYO 2 3.20
`
TRAMO 3-2 7.06APOYO 3 6.424APOYO 2 13.454
TRAMO 2-1 3.20APOYO 2 1.69APOYO 1 3.20
`
TRAMO 2-1 4.09APOYO 2 5.196APOYO 1 14.649
TRAMO 1-0 3.20APOYO 1 1.69
TRAMO 1-0 9.01APOYO 1 7.723
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
AS1 FINAL [cm2/m]
MFINAL [KN-m/m]
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 40
10 0.785 3.00 20.00 φ 10 c / 40
OBSERVACION OBSERVACION
3.93 21.56 -10.39 CUMPLE -0.73 CUMPLE
2.36 12.79 7.56 ARMADURA EXTRA 1.39 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
8 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.40 -11.75 CUMPLE -0.32 CUMPLE1.51 8.19 -0.63 CUMPLE -0.12 CUMPLE1.51 8.21 10.07 ARMADURA EXTRA 1.85 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40
OBSERVACION OBSERVACION
3.93 21.63 -12.84 CUMPLE -0.73 CUMPLE
2.36 12.83 -2.76 CUMPLE -0.51 CUMPLE2.36 12.84 4.64 ARMADURA EXTRA 0.85 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
8 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION3.52 19.36 -9.74 CUMPLE -0.32 CUMPLE1.51 8.22 -3.58 CUMPLE -0.66 CUMPLE1.51 8.25 6.30 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.50 -16.06 CUMPLE -0.32 CUMPLE1.51 8.25 -1.95 CUMPLE 0.18 CUMPLE
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
1.51 8.19 11.63 ARMADURA EXTRA 2.14 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40
OBSERVACION OBSERVACION
3.93 21.53 -8.97 CUMPLE -0.73 CUMPLE2.36 12.80 -2.73 CUMPLE -0.51 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.42 -12.41 CUMPLE -0.32 CUMPLE1.51 8.26 4.78 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.44 -13.20 CUMPLE -0.32 CUMPLE1.51 8.26 -3.49 CUMPLE 0.18 CUMPLE1.51 8.27 4.33 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.45 -13.66 CUMPLE -0.32 CUMPLE1.51 8.27 -3.94 CUMPLE 0.18 CUMPLE1.51 8.26 4.75 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.37 -10.16 CUMPLE -0.32 CUMPLE1.51 8.26 -3.52 CUMPLE 0.18 CUMPLE1.51 8.26 4.75 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.48 -14.90 CUMPLE -0.32 CUMPLE1.51 8.26 -3.52 CUMPLE 0.18 CUMPLE1.51 8.28 3.14 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.40 -11.60 CUMPLE -0.32 CUMPLE1.51 8.28 -3.95 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.39 -11.24 CUMPLE -0.32 CUMPLE1.51 8.26 4.99 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.50 -16.09 CUMPLE -0.32 CUMPLE1.51 8.26 -3.27 CUMPLE 0.18 CUMPLE1.51 8.29 2.11 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.46 -14.03 CUMPLE -0.32 CUMPLE1.51 8.29 -6.18 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
3.52 19.44 -13.52 CUMPLE -0.32 CUMPLE1.51 8.28 2.63 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.46 -14.29 CUMPLE -0.32 CUMPLE1.51 8.28 -5.66 CUMPLE 0.18 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
8 0.503 2.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.52 -16.66 CUMPLE -0.32 CUMPLE
1.01 5.55 1.24 ARMADURA EXTRA 2.19 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
8 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.51 -16.53 CUMPLE -0.32 CUMPLE1.51 8.32 -7.08 CUMPLE 0.69 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 2.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.50 -16.01 CUMPLE -0.32 CUMPLE1.01 5.55 1.29 ARMADURA EXTRA 2.19 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40
OBSERVACION OBSERVACION
3.93 21.78 -18.82 CUMPLE -0.73 CUMPLE
2.36 13.01 -11.71 CUMPLE -0.16 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
8 0.503 2.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.50 -15.93 CUMPLE -0.32 CUMPLE1.01 5.54 2.01 ARMADURA EXTRA 2.19 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 4.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.52 -17.04 CUMPLE -0.32 CUMPLE2.01 11.09 -9.08 CUMPLE 0.18 CUMPLE
1.51 8.30 0.72 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
8 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.44 -13.33 CUMPLE -0.32 CUMPLE1.51 8.30 -7.58 CUMPLE 0.18 CUMPLE1.51 8.30 0.72 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 30
8 0.503 2.00 15.00 φ 8 c / 30
8 0.503 2.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.48 -15.11 CUMPLE -0.32 CUMPLE1.01 5.53 -4.81 CUMPLE 0.69 CUMPLE1.01 5.55 1.94 ARMADURA EXTRA 2.19 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
10 0.785 4.07 5.00 20.00 20.00 φ 10 c / 40 φ 10 c / 4010 0.785 3.00 20.00 φ 10 c / 40
OBSERVACION OBSERVACION
3.93 21.77 -18.43 CUMPLE -0.73 CUMPLE2.36 13.00 -10.99 CUMPLE -0.16 CUMPLE
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
OBSERVACION OBSERVACION
3.52 19.39 -11.16 CUMPLE -0.32 CUMPLE1.51 8.23 7.72 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.42 -12.28 CUMPLE -0.32 CUMPLE1.51 8.23 -0.51 CUMPLE 0.18 CUMPLE1.51 8.25 6.42 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.42 -12.36 CUMPLE -0.32 CUMPLE1.51 8.25 -1.82 CUMPLE 0.18 CUMPLE1.51 8.26 5.20 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.49 -15.40 CUMPLE -0.32 CUMPLE1.51 8.26 -3.06 CUMPLE 0.18 CUMPLE1.51 8.25 6.40 ARMADURA EXTRA 1.69 ARMADURA EXTRA
N° PIEZAS/m ESPACIAMIENTO [cm]
φ CALCULADO ADOPTADO CALCULADO ADOPTADO
8 0.503 6.37 7.00 14.29 15.00 φ 8 c / 30 φ 8 c / 308 0.503 3.00 15.00 φ 8 c / 30
OBSERVACION OBSERVACION
3.52 19.37 -10.36 CUMPLE -0.32 CUMPLE1.51 8.25 -0.52 CUMPLE 0.18 CUMPLE
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]
Aφ [cm2] AS1 RECTO [cm2/m] AS1 DOBLADO [cm2/m]
A#φ [cm2] MABS [KN-m] ΔM [cm2] ΔAφ [cm2]