Diagrama Interaccion Circular f''c
48
Elementos Mecánicos Carga Axial: 300.00 ton 300000 Momento: 150.00 ton-m 15000000 Diametro: 1.20 m 120 Peralte: 1.06 m 106 d/D 0.88 114.44 f'c: 250 Vs. 8C 22.57 f*c: 200 f''c: 170 fy: 4200 0.0026 0.020 40 vs 36 vs 32 vs 0.010 0.018 0.016 0.014 0.25 0.44 0.40 0.35 K: 0.14 R: 0.06 Se recomienda usar una distribución de acero ya analizada kg/cm 2 ρmin: ρmax: ρGraf: ρProp: qGraf: qProp: K= / (_ ^2 ^′ ′ ) R= / (_ ^3 ^′ ′ ) _: ρπ ^2
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estructuras, diagramas de interacción, columnas circulares de 1.20m armada con diversos numeros de varillas y zunchos.
Transcript of Diagrama Interaccion Circular f''c
Elementos MecánicosCarga Axial: 300.00 ton 300000Momento: 150.00 ton-m 15000000Diametro: 1.20 m 120
Peralte: 1.06 m 106d/D 0.88 114.44
f'c: 250 Vs. 8C 22.57f*c: 200f''c: 170fy: 4200
0.0026
0.020 40 vs 36 vs 32 vs 28 vs
0.010 0.018 0.016 0.014 0.013
0.25 0.44 0.40 0.35 0.31K: 0.14
R: 0.06
Se recomienda usar una distribución de acero ya analizada
kg/cm2
ρmin:
ρmax:
ρGraf: ρProp:
qGraf: qProp:
K=𝑃/(𝐹_𝑟 𝐷^2 𝑓^′′ 𝑐)R=𝑀/(𝐹_𝑟 𝐷^3 𝑓^′′ 𝑐)𝐴_𝑠:ρπ𝑟^2
Dimensionado de Zuncho
Ag1.28
Ac
0.00510.0049
Rige: 0.0051Área de V. 1.27Diametro: 1.27
S: 8.65 Rige: 8.65
Separación de Reglamento Separación Libre Máxima
16.7 cm8.00
√fy Separación Libre Mínima4
60.96 cm Se usará un zuncho de 4C con un paso de 8cm
ρs:
850 Dvs
48 DVs
ρ_𝑠:0.45(𝐴_𝑔/ 〖𝐴 _𝐶〗 _ −1) (𝑓^′′ 𝑐)/𝑓𝑦≥0.12 (𝑓^′′ 𝑐)/𝑓𝑦𝑆:((4𝐴_𝑒)/〖 ρ_𝑠 𝑑_𝑠〗 _ )
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. de Falla Balanceada Altura de Bloque de Esf.
62.35 cm a: 53.00 cm
Fuerza de compresiónC: 637.59 ton
Xc: 0.27 cmNúmero de Varillas prop.: 40 10
9.00°
Distancias desde E.N.: X
53 7.00 46.00 0.00221 4200.00
52.35 7.65 45.35 0.00218 4200.00
50.41 9.59 43.41 0.00209 4176.80
47.22 12.78 40.22 0.00194 3870.55
42.88 17.12 35.88 0.00173 3452.40
37.48 22.52 30.48 0.00147 2932.66
31.15 28.85 24.15 0.00116 2324.12
24.06 35.94 17.06 0.00082 1641.77
16.38 43.62 9.38 0.00045 902.40
8.29 51.71 1.29 0.00006 124.23
0.00 60.00 2.35 0.00011 226.42
8.29 68.29 5.94 0.00029 571.40
16.38 76.38 14.02 0.00067 1349.57
24.06 84.06 21.71 0.00104 2088.94
31.15 91.15 28.80 0.00139 2771.29
37.48 97.48 35.12 0.00169 3379.83
42.88 102.88 40.52 0.00195 3899.57
47.22 107.22 44.87 0.00216 4200.00
50.41 110.41 48.05 0.00231 4200.00
52.35 112.35 49.99 0.00241 4200.00
53.00 113.00 50.65 0.00244 4200.00
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,485.542.56 52.35 22.28 Mb, Pb: 402.92 609.142.33 50.41 21.3439.22 47.22 18.5234.99 42.88 15.0029.72 37.48 11.1423.55 31.15 7.3416.64 24.06 4.009.15 16.38 1.501.26 8.29 0.102.29 0.00 0.00-5.79 8.29 0.48-13.68 16.38 2.24-21.17 24.06 5.09-28.08 31.15 8.75-34.25 37.48 12.84-39.52 42.88 16.94-42.56 47.22 20.10-42.56 50.41 21.45-42.56 52.35 22.28-21.28 53.00 11.28609.12 402.92
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Distribucion de Fuerzas
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Distribucion de Fuerzas
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Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. Falla en Compresión Altura de Bloque de Esf.
100.00 cm a: 85.00 cm
Fuerza de compresiónC: 1,639.93 ton
Xc: 0.11 cmNúmero de Varillas prop.: 40 10
9.00°
Distancias desde E.N.: X
53 7 93.00 0.00279 4200.00
52.35 7.65 92.35 0.00277 4200.00
50.41 9.59 90.41 0.00271 4200.00
47.22 12.78 87.22 0.00262 4200.00
42.88 17.12 82.88 0.00249 4200.00
37.48 22.52 77.48 0.00232 4200.00
31.15 28.85 71.15 0.00213 4200.00
24.06 35.94 64.06 0.00192 3843.69
16.38 43.62 56.38 0.00169 3382.67
8.29 51.71 48.29 0.00145 2897.46
0.00 60.00 40.00 0.00120 2400.00
8.29 68.29 31.71 0.00095 1902.54
16.38 76.38 23.62 0.00071 1417.33
24.06 84.06 15.94 0.00048 956.31
31.15 91.15 8.85 0.00027 530.84
37.48 97.48 2.52 0.00008 151.40
42.88 102.88 2.88 0.00101 2014.53
47.22 107.22 7.22 0.00253 4200.00
50.41 110.41 10.41 0.00364 4200.00
52.35 112.35 12.35 0.00432 4200.00
53.00 113.00 13.00 0.00455 4200.00
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,485.542.56 52.35 22.28 Mb, Pb: 402.92 609.142.56 50.41 21.45 Mc, Pc: 404.59 1,924.442.56 47.22 20.1042.56 42.88 18.2542.56 37.48 15.9542.56 31.15 13.2638.95 24.06 9.3734.28 16.38 5.6129.36 8.29 2.4324.32 0.00 0.0019.28 8.29 1.6014.36 16.38 2.359.69 24.06 2.335.38 31.15 1.681.53 37.48 0.58
-20.42 42.88 8.75-42.56 47.22 20.10-42.56 50.41 21.45-42.56 52.35 22.28-21.28 53.00 11.28
1924.37 404.59
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Distribucion de Fuerzas
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Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021ρ: 0.018
Pto. Falla en Tensión q: 0.443
30.00 cm Altura de Bloque de Esf.a: 25.50 cm
Fuerza de compresiónC: 147.59 tonXt: 0.40 cm
Número de Varillas prop.: 40 109.00°
Distancias desde E.N.: X
53 7 23.00 0.00230 4200.00
52.35 7.65 22.35 0.00223 4200.00
50.41 9.59 20.41 0.00204 4081.20
47.22 12.78 17.22 0.00172 3444.67
42.88 17.12 12.88 0.00129 2575.58
37.48 22.52 7.48 0.00075 1495.33
31.15 28.85 1.15 0.00012 230.52
24.06 35.94 5.94 0.00016 328.18
16.38 43.62 13.62 0.00038 752.80
8.29 51.71 21.71 0.00060 1199.71
0.00 60.00 30.00 0.00083 1657.89
8.29 68.29 38.29 0.00106 2116.08
16.38 76.38 46.38 0.00128 2562.99
24.06 84.06 54.06 0.00149 2987.61
31.15 91.15 61.15 0.00169 3379.49
37.48 97.48 67.48 0.00186 3728.97
42.88 102.88 72.88 0.00201 4027.46
47.22 107.22 77.22 0.00213 4200.00
50.41 110.41 80.41 0.00222 4200.00
52.35 112.35 82.35 0.00228 4200.00
53.00 113.00 83.00 0.00229 4200.00
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,485.542.56 52.35 22.28 Mc, Pc: 404.59 1,924.441.36 50.41 20.85 Mb, Pb: 402.92 609.134.91 47.22 16.49 Mt, Pt: 281.72 -48.126.10 42.88 11.19 Mf,Pf 1,012.7 0.015.15 37.48 5.682.34 31.15 0.73-3.33 24.06 0.80-7.63 16.38 1.25-12.16 8.29 1.01-16.80 0.00 0.00-21.44 8.29 1.78-25.97 16.38 4.25-30.28 24.06 7.29-34.25 31.15 10.67-37.79 37.48 14.16-40.81 42.88 17.50-42.56 47.22 20.10-42.56 50.41 21.45-42.56 52.35 22.28-21.28 53.00 11.28-48.14 281.72
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Distribucion de Fuerzas
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Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. de Falla Balanceada Altura de Bloque de Esf.
62.35 cm a: 53.00 cm
Fuerza de compresiónC: 637.59 ton
Xc: 0.27 cmNúmero de Varillas prop.: 36 9
10.00°
Distancias desde E.N.: X
53 7 46.00 0.00221 4200.00
52.19 7.81 45.19 0.00217 4200.00
49.80 10.20 42.80 0.00206 4118.85
45.90 14.10 38.90 0.00187 3743.14
40.60 19.40 33.60 0.00162 3233.24
34.07 25.93 27.07 0.00130 2604.63
26.50 33.50 19.50 0.00094 1876.42
18.13 41.87 11.13 0.00054 1070.72
9.20 50.80 2.20 0.00011 212.02
0.00 60.00 2.35 0.00011 226.42
9.20 69.20 6.85 0.00033 659.19
18.13 78.13 15.77 0.00076 1517.89
26.50 86.50 24.15 0.00116 2323.58
34.07 94.07 31.71 0.00153 3051.80
40.60 100.60 38.25 0.00184 3680.41
45.90 105.90 43.55 0.00210 4190.31
49.80 109.80 47.45 0.00228 4200.00
52.19 112.19 49.84 0.00240 4200.00
53.00 113.00 50.65 0.00244 4200.00
kg/cm2
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,400.442.56 52.19 22.22 Mb, Pb: 379.66 611.941.74 49.80 20.7937.93 45.90 17.4132.77 40.60 13.3026.40 34.07 8.9919.02 26.50 5.0410.85 18.13 1.972.15 9.20 0.202.29 0.00 0.00-6.68 9.20 0.61-15.38 18.13 2.79-23.55 26.50 6.24-30.93 34.07 10.54-37.30 40.60 15.14-42.47 45.90 19.49-42.56 49.80 21.20-42.56 52.19 22.22-21.28 53.00 11.28611.87 379.66
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Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. Falla en Compresión Altura de Bloque de Esf.
100.00 cm a: 85.00 cm
Fuerza de compresiónC: 1,639.93 ton
Xc: 0.11 cmNúmero de Varillas prop.: 36 9
10.00°
Distancias desde E.N.: X
53 7 93.00 0.00279 4200.00
52.19 7.81 92.19 0.00277 4200.00
49.80 10.20 89.80 0.00269 4200.00
45.90 14.10 85.90 0.00258 4200.00
40.60 19.40 80.60 0.00242 4200.00
34.07 25.93 74.07 0.00222 4200.00
26.50 33.50 66.50 0.00200 3990.00
18.13 41.87 58.13 0.00174 3487.62
9.20 50.80 49.20 0.00148 2952.20
0.00 60.00 40.00 0.00120 2400.00
9.20 69.20 30.80 0.00092 1847.80
18.13 78.13 21.87 0.00066 1312.38
26.50 86.50 13.50 0.00041 810.00
34.07 94.07 5.93 0.00018 355.94
40.60 100.60 0.60 0.00021 420.25
45.90 105.90 5.90 0.00206 4129.54
49.80 109.80 9.80 0.00343 4200.00
52.19 112.19 12.19 0.00427 4200.00
53.00 113.00 13.00 0.00455 4200.00
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,400.442.56 52.19 22.22 Mb, Pb: 379.66 611.942.56 49.80 21.20 Mc, Pc: 381.25 1,895.442.56 45.90 19.5442.56 40.60 17.2842.56 34.07 14.5040.44 26.50 10.7235.34 18.13 6.4129.92 9.20 2.7524.32 0.00 0.0018.73 9.20 1.7213.30 18.13 2.418.21 26.50 2.183.61 34.07 1.23-4.26 40.60 1.73-41.85 45.90 19.21-42.56 49.80 21.20-42.56 52.19 22.22-21.28 53.00 11.28
1895.37 381.25
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Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021ρ: 0.016
Pto. Falla en Tensión q: 0.398
30.00 cm Altura de Bloque de Esf.a: 25.50 cm
Fuerza de compresiónC: 147.59 tonXt: 0.40 cm
Número de Varillas prop.: 36 910.00°
Distancias desde E.N.: X
53 7 23.00 0.00230 4200.00
52.19 7.81 22.19 0.00222 4200.00
49.80 10.20 19.80 0.00198 3960.74
45.90 14.10 15.90 0.00159 3179.87
40.60 19.40 10.60 0.00106 2120.07
34.07 25.93 4.07 0.00041 813.55
26.50 33.50 3.50 0.00010 193.42
18.13 41.87 11.87 0.00033 656.14
9.20 50.80 20.80 0.00057 1149.29
0.00 60.00 30.00 0.00083 1657.89
9.20 69.20 39.20 0.00108 2166.50
18.13 78.13 48.13 0.00133 2659.65
26.50 86.50 56.50 0.00156 3122.37
34.07 94.07 64.07 0.00177 3540.59
40.60 100.60 70.60 0.00195 3901.60
45.90 105.90 75.90 0.00210 4194.44
49.80 109.80 79.80 0.00221 4200.00
52.19 112.19 82.19 0.00227 4200.00
53.00 113.00 83.00 0.00229 4200.00
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Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,400.442.56 52.19 22.22 Mc, Pc: 381.25 1,895.440.14 49.80 19.99 Mb, Pb: 379.66 611.932.23 45.90 14.79 Mt, Pt: 259.78 -28.421.49 40.60 8.72 Mf,Pf 937.4 0.08.24 34.07 2.81-1.96 26.50 0.52-6.65 18.13 1.21-11.65 9.20 1.07-16.80 0.00 0.00-21.96 9.20 2.02-26.95 18.13 4.89-31.64 26.50 8.39-35.88 34.07 12.22-39.54 40.60 16.05-42.51 45.90 19.51-42.56 49.80 21.20-42.56 52.19 22.22-21.28 53.00 11.28-28.41 259.78
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140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
0 100 200 300 400 500 600 700 800 900 1000
-500.0
0.0
500.0
1,000.0
1,500.0
2,000.0
2,500.0
3,000.0
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. de Falla Balanceada Altura de Bloque de Esf.
62.35 cm a: 53.00 cm
Fuerza de compresiónC: 637.59 ton
Xc: 0.27 cmNúmero de Varillas prop.: 32 8
11.25°
Distancias desde E.N.: X
53 7 46.00 0.00221 4200.00
51.98 8.02 44.98 0.00216 4200.00
48.97 11.03 41.97 0.00202 4038.20
44.07 15.93 37.07 0.00178 3566.91
37.48 22.52 30.48 0.00147 2932.66
29.45 30.55 22.45 0.00108 2159.82
20.28 39.72 13.28 0.00064 1278.10
10.34 49.66 3.34 0.00016 321.38
0.00 60.00 2.35 0.00011 226.42
10.34 70.34 7.99 0.00038 768.55
20.28 80.28 17.93 0.00086 1725.27
29.45 89.45 27.09 0.00130 2606.99
37.48 97.48 35.12 0.00169 3379.83
44.07 104.07 41.71 0.00201 4014.08
48.97 108.97 46.61 0.00224 4200.00
51.98 111.98 49.63 0.00239 4200.00
53.00 113.00 50.65 0.00244 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Cb:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D12:
D13:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,315.342.56 51.98 22.13 Mb, Pb: 356.02 615.640.92 48.97 20.0436.15 44.07 15.9329.72 37.48 11.1421.89 29.45 6.4412.95 20.28 2.633.26 10.34 0.342.29 0.00 0.00-7.79 10.34 0.81
-17.48 20.28 3.55-26.42 29.45 7.78-34.25 37.48 12.84-40.68 44.07 17.93-42.56 48.97 20.84-42.56 51.98 22.13-21.28 53.00 11.28615.58 356.02
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. Falla en Compresión Altura de Bloque de Esf.
95.00 cm a: 80.75 cm
Fuerza de compresiónC: 1,480.04 ton
Xc: 0.13 cmNúmero de Varillas prop.: 32 8
11.25°
Distancias desde E.N.: X
53 7 88.00 0.00278 4200.00
51.98 8.02 86.98 0.00275 4200.00
48.97 11.03 83.97 0.00265 4200.00
44.07 15.93 79.07 0.00250 4200.00
37.48 22.52 72.48 0.00229 4200.00
29.45 30.55 64.45 0.00204 4070.22
20.28 39.72 55.28 0.00175 3491.51
10.34 49.66 45.34 0.00143 2863.57
0.00 60.00 35.00 0.00111 2210.53
10.34 70.34 24.66 0.00078 1557.49
20.28 80.28 14.72 0.00046 929.54
29.45 89.45 5.55 0.00018 350.83
37.48 97.48 2.48 0.00047 945.63
44.07 104.07 9.07 0.00173 3462.29
48.97 108.97 13.97 0.00267 4200.00
51.98 111.98 16.98 0.00324 4200.00
53.00 113.00 18.00 0.00344 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Cc:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D12:
D13:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,315.342.56 51.98 22.13 Mb, Pb: 356.02 615.642.56 48.97 20.84 Mc, Pc: 376.02 1,677.342.56 44.07 18.7642.56 37.48 15.9541.25 29.45 12.1535.38 20.28 7.1829.02 10.34 3.0022.40 0.00 0.0015.78 10.34 1.639.42 20.28 1.913.56 29.45 1.05-9.58 37.48 3.59
-35.09 44.07 15.46-42.56 48.97 20.84-42.56 51.98 22.13-21.28 53.00 11.28
1677.31 376.02
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021ρ: 0.014
Pto. Falla en Tensión q: 0.354
22.00 cm Altura de Bloque de Esf.a: 18.70 cm
Fuerza de compresiónC: 79.37 ton
Xt: 0.44 cmNúmero de Varillas prop.: 32 8
11.25°
Distancias desde E.N.: X
53 7 15.00 0.00205 4090.91
51.98 8.02 13.98 0.00191 3813.17
48.97 11.03 10.97 0.00150 2990.62
44.07 15.93 6.07 0.00083 1654.88
37.48 22.52 0.52 0.00007 142.73
29.45 30.55 8.55 0.00021 427.74
20.28 39.72 17.72 0.00044 885.89
10.34 49.66 27.66 0.00069 1383.01
0.00 60.00 38.00 0.00095 1900.00
10.34 70.34 48.34 0.00121 2416.99
20.28 80.28 58.28 0.00146 2914.11
29.45 89.45 67.45 0.00169 3372.26
37.48 97.48 75.48 0.00189 3773.83
44.07 104.07 82.07 0.00205 4103.39
48.97 108.97 86.97 0.00217 4200.00
51.98 111.98 89.98 0.00225 4200.00
53.00 113.00 91.00 0.00228 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Ct:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D12:
D13:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos20.73 53.00 10.99 Mo, Po: 0 2,315.338.64 51.98 20.09 Mc, Pc: 376.02 1,677.330.31 48.97 14.84 Mb, Pb: 356.02 615.616.77 44.07 7.39 Mt, Pt: 198.53 -136.6-1.45 37.48 0.54 Mf,Pf 856.2 0.0-4.33 29.45 1.28-8.98 20.28 1.82
-14.02 10.34 1.45-19.25 0.00 0.00-24.49 10.34 2.53-29.53 20.28 5.99-34.17 29.45 10.06-38.24 37.48 14.33-41.58 44.07 18.33-42.56 48.97 20.84-42.56 51.98 22.13-21.28 53.00 11.28
-136.65 198.53
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
0 100 200 300 400 500 600 700 800 900
-500.0
0.0
500.0
1,000.0
1,500.0
2,000.0
2,500.0
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. de Falla Balanceada Altura de Bloque de Esf.
62.35 cm a: 53.00 cm
Fuerza de compresiónC: 637.59 ton
Xc: 0.27 cmNúmero de Varillas prop.: 28 7
12.86°
Distancias desde E.N.: X
53 7 46.00 0.00221 4200.00
51.67 8.33 44.67 0.00215 4200.00
47.75 12.25 40.75 0.00196 3921.36
41.44 18.56 34.44 0.00166 3313.76
33.04 26.96 26.04 0.00125 2506.21
23.00 37.00 16.00 0.00077 1539.22
11.79 48.21 4.79 0.00023 461.27
0.00 60.00 2.35 0.00011 226.42
11.79 71.79 9.44 0.00045 908.44
23.00 83.00 20.64 0.00099 1986.39
33.04 93.04 30.69 0.00148 2953.38
41.44 101.44 39.08 0.00188 3760.93
47.75 107.75 45.40 0.00218 4200.00
51.67 111.67 49.32 0.00237 4200.00
53.00 113.00 50.65 0.00244 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Cb:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,230.142.56 51.67 21.99 Mb, Pb: 332.65 618.939.74 47.75 18.9833.58 41.44 13.9225.40 33.04 8.3915.60 23.00 3.594.67 11.79 0.552.29 0.00 0.00-9.21 11.79 1.09
-20.13 23.00 4.63-29.93 33.04 9.89-38.11 41.44 15.79-42.56 47.75 20.32-42.56 51.67 21.99-21.28 53.00 11.28618.93 332.65
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021
Pto. Falla en Compresión Altura de Bloque de Esf.
90.00 cm a: 76.50 cm
Fuerza de compresiónC: 1,328.34 ton
Xc: 0.15 cmNúmero de Varillas prop.: 28 7
12.86°
Distancias desde E.N.: X
53 7 83.00 0.00277 4200.00
51.67 8.33 81.67 0.00272 4200.00
47.75 12.25 77.75 0.00259 4200.00
41.44 18.56 71.44 0.00238 4200.00
33.04 26.96 63.04 0.00210 4200.00
23.00 37.00 53.00 0.00177 3533.06
11.79 48.21 41.79 0.00139 2786.24
0.00 60.00 30.00 0.00100 2000.00
11.79 71.79 18.21 0.00061 1213.76
23.00 83.00 7.00 0.00023 466.94
33.04 93.04 3.04 0.00040 799.30
41.44 101.44 11.44 0.00150 3002.23
47.75 107.75 17.75 0.00233 4200.00
51.67 111.67 21.67 0.00284 4200.00
53.00 113.00 23.00 0.00302 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Cc:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,230.142.56 51.67 21.99 Mb, Pb: 332.65 618.942.56 47.75 20.32 Mc, Pc: 364.21 1,476.342.56 41.44 17.6442.56 33.04 14.0735.80 23.00 8.2328.24 11.79 3.3320.27 0.00 0.0012.30 11.79 1.454.73 23.00 1.09-8.10 33.04 2.68
-30.43 41.44 12.61-42.56 47.75 20.32-42.56 51.67 21.99-21.28 53.00 11.28
1476.29 364.21
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
Diseño de Apoyo Central (Pila)Vs. # 4 Vs. # 5 Vs. # 6 Vs. # 8 Vs. # 10 Vs. # 12
Diametro: 1.3 1.6 1.9 2.5 3.2 3.8Área: 1.27 1.98 2.85 5.07 7.92 11.40
Diametro: 1.2 m f'c: 250
Vs. de Ref.: 8 f*c: 200
Vs. Zuncho: 4 f''c: 170
Recub.: 0.07 cm fy: 4200
Peralte: 1.06 m 0.003
0.0021ρ: 0.013
Pto. Falla en Tensión q: 0.310
25.00 cm Altura de Bloque de Esf.a: 21.25 cm
Fuerza de compresiónC: 102.50 ton
Xt: 0.42 cmNúmero de Varillas prop.: 28 7
12.86°
Distancias desde E.N.: X
53 7 18.00 0.00216 4200.00
51.67 8.33 16.67 0.00200 4001.08
47.75 12.25 12.75 0.00153 3060.32
41.44 18.56 6.44 0.00077 1544.90
33.04 26.96 1.96 0.00005 101.37
23.00 37.00 12.00 0.00031 622.44
11.79 48.21 23.21 0.00060 1203.29
0.00 60.00 35.00 0.00091 1814.81
11.79 71.79 46.79 0.00121 2426.34
23.00 83.00 58.00 0.00150 3007.19
33.04 93.04 68.04 0.00176 3528.26
41.44 101.44 76.44 0.00198 3963.40
47.75 107.75 82.75 0.00215 4200.00
51.67 111.67 86.67 0.00225 4200.00
53.00 113.00 88.00 0.00228 4200.00
kg/cm2
kg/cm2
kg/cm2
kg/cm2
εcu:
εy:
Ct:
Angulo de Separación Ѳ:
εn fn
D1:
D2:
D3:
D4:
D5:
D6:
D7:
D8:
D14:
D15:
D16:
D17:
D18:
D19:
D20:
Fza. (ton) Brazos (cm) Momentos21.28 53.00 11.28 Mo, Po: 0 2,230.140.55 51.67 20.95 Mc, Pc: 364.21 1,476.331.01 47.75 14.81 Mb, Pb: 332.65 618.915.66 41.44 6.49 Mt, Pt: 192.15 -64.3-1.03 33.04 0.34 Mf,Pf 769.4 0.0-6.31 23.00 1.45
-12.19 11.79 1.44-18.39 0.00 0.00-24.59 11.79 2.90-30.48 23.00 7.01-35.76 33.04 11.82-40.17 41.44 16.64-42.56 47.75 20.32-42.56 51.67 21.99-21.28 53.00 11.28-64.32 192.15
-60.00 -50.00 -40.00 -30.00 -20.00 -10.00 0.00 10.00 20.00 30.00 40.00 50.00 60.000
10
20
30
40
50
60
70
80
90
100
110
120
130
140
Distribucion de Fuerzas
1,2
1,05
1,2
1,05
0 100 200 300 400 500 600 700 800 900
-500.0
0.0
500.0
1,000.0
1,500.0
2,000.0
2,500.0
0 50 100 150 200 250 300 350 400 450
-200.0
0.0
200.0
400.0
600.0
800.0
1,000.0
1,200.0
1,400.0
1,600.0
1,800.0
2,000.0
2,200.0
2,400.0
2,600.0
2,800.0
40 vs36 vs32 vs28 vs300.00
