Curvas Con Variantes de Bovedilla

1

Fecha: Sept. 20,2009

Analisis de Sensibilidad de Viguetas Presforzadas Realizo: Ing. Jose Antonio Miron VoBo Ing Felipe Cantu Garza

Capacidad de Carga Vigueta 11*11 Bovedilla de Mortero

0.00

200.00

400.00

600.00

800.00

1000.00

1200.00

1400.00

1600.00

1800.00C

V (m

2)

2 Φ 3mm 124.78

3 Φ 3mm 272.84 108.19

4 Φ 3mm 416.51 200.14 82.60

5 Φ 3mm 555.78 289.27 144.50

2 Φ 5mm 631.26 337.58 178.05 81.86

3 Φ 5mm 988.33 566.11 336.75 198.45 108.69

4 Φ 5mm 1311.52 772.94 480.39 303.98 189.49 110.99

5 Φ 5mm 1600.82 958.10 608.97 398.45 261.82 168.14 101.13

200 cm /BM 250 cm/BM 300 cm/BM 350 cm/BM 400 cm/BM 450 cm/BM 500 cm/BM

2



Capacidad de carga de Vigueta de 111x11 con Bovedilla de Poliestireno

0.00

200.00

400.00

600.00

800.00

1000.00

1200.00

1400.00

1600.00

1800.00

CV

(m2)

2 Φ 3mm 213.88 102.53

3 Φ 3mm 361.94 197.29 107.85

4 Φ 3mm 505.61 289.24 171.71 100.84

5 Φ 3mm 644.89 378.38 233.61 146.32 89.66

2 Φ 5mm 720.37 426.69 267.15 170.96 108.53

3 Φ 5mm 1077.44 655.21 425.85 287.56 197.80 136.26 92.24

4 Φ 5mm 1400.62 862.05 569.49 393.09 278.59 200.10 143.95 102.41

5 Φ 5mm 1689.93 1047.20 698.07 487.55 350.92 257.24 190.24 140.66 102.95

200 cm/BP 250 cm/BP 300 cm/BP 350 cm/BP 400 cm/BP 450 cm/BP 500 cm/BP 550 cm/BP 600 cm/BP

3



Capacidad de Carga con Vigueta 111x11con Bovedilla de Barro

0.00

200.00

400.00

600.00

800.00

1000.00

1200.00

1400.00

1600.00

1800.00C

V (m

2)

2 Φ 3mm 175.68

3 Φ 3mm 323.74 159.09 69.61

4 Φ 3mm 467.41 251.04 133.50

5 Φ 3mm 606.68 340.17 195.40 108.11

2 Φ 5mm 682.16 388.48 228.95 132.76

3 Φ 5mm 1039.23 617.01 387.65 249.35 159.59 98.02

4 Φ 5mm 1362.42 823.84 531.29 354.88 240.39 161.89 105.37

5 Φ 5mm 1651.72 1009.00 659.87 449.35 312.72 219.04 152.03 102.42

200 cm/BB 250 cm/BB 300 cm/BB 350 cm/BB 400 cm/BB 450 cm/BB 500 cm/BB 550 cm/BB

4



Capacidad de cargaVigueta 16x11 con Bovedilla de Mortero

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00C

V (k

g/m

2)

2 Φ 3mm 284.33 111.09

3 Φ 3mm 518.36 260.87 121.00

4 Φ 3mm 748.00 407.84 223.06 111.64

5 Φ 3mm 973.24 551.99 323.17 185.19 95.64

2 Φ 5mm 1096.48 630.87 377.94 225.43 126.45

3 Φ 5mm 1692.35 1012.22 642.77 420.00 275.42 176.29 105.38

4 Φ 5mm 2254.33 1371.89 892.54 603.51 415.91 287.30 195.30 127.23

5 Φ 5mm 2782.43 1709.87 1127.25 775.95 547.94 391.61 279.80 197.07 134.14

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 550 cm 600 cm

5



Capacidad de carga Vigueta 16x11 con Bovedilla Poliestireno

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00

3500.00C

V (k

g/m

2)

2 Φ 3mm 386.24 212.72 118.47

3 Φ 3mm 620.24 362.48 222.47 138.04

4 Φ 3mm 848.24 508.40 323.80 212.49 140.24 90.71

5 Φ 3mm 1074.24 653.04 424.24 286.29 196.74 135.36 91.44

2 Φ 5mm 1198.24 732.40 479.36 326.78 227.74 159.85 111.28

3 Φ 5mm 1794.24 1113.84 744.24 521.39 376.74 277.58 206.64 154.16 114.24

4 Φ 5mm 2356.24 1473.52 994.02 704.90 517.24 388.59 296.56 228.48 176.69 136.39 104.41

5 Φ 5mm 2884.20 1811.44 1228.69 877.31 649.24 492.89 381.04 298.29 235.36 186.37 147.51 116.16

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 550 cm 600 cm 650 cm 700 cm 750 cm

6



Capacidad de carga Vigueta 16x11 con Bovedilla de Barro

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00

CV

(kg/

m2)

2 Φ 3mm 337.30 163.78

3 Φ 3mm 571.30 313.54 173.52

4 Φ 3mm 799.30 459.46 274.86 163.54 91.30

5 Φ 3mm 1025.30 604.10 375.30 237.34 147.80

2 Φ 5mm 1149.30 683.46 430.41 277.83 178.80 110.90

3 Φ 5mm 1745.30 1064.90 695.30 472.44 327.80 228.63 157.70 105.22

4 Φ 5mm 2307.30 1424.58 945.08 655.95 468.30 339.65 247.62 179.53 127.74

5 Φ 5mm 2835.30 1762.50 1179.74 828.36 600.30 443.94 332.10 249.35 186.41 137.43

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 550 cm 600 cm 650 cm

7



Capacidad de Carga Vigueta 21x11 con Bovedilla de Mortero

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00

3500.00

4000.00

4500.00cv

(kg/

m2)

2 Φ 3mm 432.50 197.06 69.17

3 Φ 3mm 752.50 401.86 211.39 96.54

4 Φ 3mm 1106.50 628.42 368.72 212.13 110.50

5 Φ 3mm 1378.50 802.50 489.61 300.95 178.50 94.55

2 Φ 5mm 1548.50 911.30 565.17 356.46 221.00 128.13

3 Φ 5mm 2384.50 1446.34 936.72 629.44 430.00 293.27 195.46 68.06

4 Φ 5mm 3184.91 1958.34 1292.28 890.66 630.00 451.29 323.46 156.94 56.54

5 Φ 5mm 3952.15 2449.51 1633.26 1141.09 821.65 602.64 445.99 241.93 118.88

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 600 cm 700 cm

8



Capacidad de Carga Vigueta 21x11 con Bovedilla de Poliestireno

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00

3500.00

4000.00

4500.00

CV

(kg/

m2)

2 Φ 3mm 551.80 316.36 188.47 111.35

3 Φ 3mm 871.80 521.16 330.69 215.84 141.30 90.20

4 Φ 3mm 1225.80 747.72 488.02 331.43 229.80 160.12 110.28

5 Φ 3mm 1497.80 921.80 608.91 420.25 297.80 213.85 153.80

2 Φ 5mm 1667.80 1030.60 684.47 475.76 340.30 247.43 181.00 94.47

3 Φ 5mm 2503.80 1565.64 1056.02 748.74 549.30 412.57 314.76 187.36 110.53

4 Φ 5mm 3242.40 2077.64 1411.58 1009.96 749.30 570.59 442.76 276.24 175.84 110.68

5 Φ 5mm 4071.80 2569.16 1752.91 1260.74 941.30 722.29 565.64 361.58 238.53 158.68 128.89

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 600 cm 700 cm 800 cm 850 cm

9



Capacidad de Carga Vigueta 21x11 Con Bovedilla de Barro

0.00

500.00

1000.00

1500.00

2000.00

2500.00

3000.00

3500.00

4000.00

4500.00cv

(kg/

m2)

2 Φ 3mm 490.50 255.06 127.17

3 Φ 3mm 810.50 459.86 269.39 154.54 80.00

4 Φ 3mm 1164.50 686.42 426.72 270.13 168.50 98.82

5 Φ 3mm 1436.40 860.40 547.61 358.85 236.40 152.45 92.40

2 Φ 5mm 1606.40 969.20 623.07 414.36 278.90 186.03 119.60

3 Φ 5mm 2442.40 1504.24 994.62 687.34 487.90 351.17 253.36 125.96

4 Φ 5mm 3242.40 2016.24 1350.18 948.56 687.90 509.19 381.36 214.84 114.44

5 Φ 5mm 4010.36 2507.72 1691.47 1199.30 879.86 660.86 504.20 300.14 177.10 97.24

200 cm 250 cm 300 cm 350 cm 400 cm 450 cm 500 cm 600 cm 700 cm 800 cm

10



2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm0.8 Fpi 13520 13520 13520 13520 13520 13520 13520 13520Ass 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625nº 2 3 4 5 2 3 4 5Area Acero 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5Fy 4200 4200 4200 4200 4200 4200 4200 4200a 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625nº 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0Tu (Kg) 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5

Cu 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.50,85 f'c 340 340 340 340 340 340 340 340b 11 11 11 11 11 11 11 11a= Cu / 0.85 f¡c b 0.51 0.77 1.02 1.28 1.42 2.13 2.84 3.55

σTu 1719.34 2579.01 3438.68 4298.35 4775.94 7163.91 9551.88 11939.85d-a/2 8.99 8.87 8.74 8.61 8.54 8.19 7.83 7.48Mu= σTu(d-a/2) 15464.76 22867.81 30051.30 37015.23 40789.21 58642.64 74801.95 89267.14Mu= σTu(d-a/2) 155 229 301 370 408 586 748 893

morterobarro hielo secocm

LONGITUDES L 10 16 7.1 0.98cm 2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm 14 18.2 9.1 1.35

200 cm /BM 124.78 272.84 416.51 555.78 631.26 988.33 1311.52 1600.82 20 21.5 11.45 1.88250 cm/BM 108.19 200.14 289.27 337.58 566.11 772.94 958.10 pzas/m2 7.5 7.35 1.22300 cm/BM 82.60 144.50 178.05 336.75 480.39 608.97 0.746350 cm/BM 81.86 198.45 303.98 398.45400 cm/BM 108.69 189.49 261.82 10 90.0 39.1 0.9450 cm/BM 110.99 168.14 14 102.4 50.2 1.2500 cm/BM 101.13 20 120.9 63.1 1.7

LONGITUDES Lcm 2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm mortero barro hielo seco

200 cm/BB 175.68 323.74 467.41 606.68 682.16 1039.23 1362.42 1651.72 22 22 22 Wvigueta250 cm/BB 159.09 251.04 340.17 388.48 617.01 823.84 1009.00 90.0 39.1 0.9 W bovedilla300 cm/BB 69.61 133.50 195.40 228.95 387.65 531.29 659.87 72.52 72.52 72.52 Firme Compre350 cm/BB 108.11 132.76 249.35 354.88 449.35 184.5 133.7 95.417400 cm/BB 159.59 240.39 312.72 50.86 89.103450 cm/BB 98.02 161.89 219.04 100 100 100 W viva500 cm/BB 105.37 152.03 284.5 233.7 195.42550 cm/BB 102.42

LONGITUDES Lcm 2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm

200 cm/BP 213.88 361.94 505.61 644.89 720.37 1077.44 1400.62 1689.93250 cm/BP 102.53 197.29 289.24 378.38 426.69 655.21 862.05 1047.20300 cm/BP 107.85 171.71 233.61 267.15 425.85 569.49 698.07350 cm/BP 100.84 146.32 170.96 287.56 393.09 487.55400 cm/BP 89.66 108.53 197.80 278.59 350.92450 cm/BP 136.26 200.10 257.24500 cm/BP 92.24 143.95 190.24550 cm/BP 102.41 140.66600 cm/BP 102.95

PESO BOVEDILLA

PESO Cm

REVISION POR RESISTENCIA A LA RUPTURA PARA VIGUETAS DE 11x11

CARGAS Permisibles VIVAS MAXIMAS Wv (m2) con Bovedilla Mortero (16 Kg/pza x7.5 pzas/m2 x 0.746 =90 kg/m)

CARGAS permisibles VIVAS MAXIMAS Wv (m2) con Bovedilla de Barro (7.1 kg/pza x7.35 pzas x.746=39.1 kg/m)

CARGAS VIVAS MAXIMAS Wv (m2) con Bovedilla de Poliestireno (0.98 kg/pza x 1.22 x .746=0.9 kg/m)

kg/pza

wm sobre vigueta/m

11



2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm0.8 Fpi 13520 13520 13520 13520 13520 13520 13520 13520Ass 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625nº 2 3 4 5 2 3 4 5

1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5Fy 4200 4200 4200 4200 4200 4200 4200 4200a 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625nº 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0Tu (Kg) 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5

Cu 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.50,85 f'c 340 340 340 340 340 340 340 340b 11 11 11 11 11 11 11 11a= Cu / 0.85 f¡c b 0.51 0.77 1.02 1.28 1.42 2.13 2.84 3.55

σTu 1719.34 2579.01 3438.68 4298.35 4775.94 7163.91 9551.88 11939.85d-a/2 13.99 13.87 13.74 13.61 13.54 13.19 12.83 12.48Mu= σTu(d-a/2) 24061.46 35762.85 47244.68 58506.96 64668.91 94462.19 122561.35 148966.39Mu= σTu(d-a/2) 241 358 472 585 647 945 1226 1490

mortero barro hielo secoW vigueta m/l 22 22 22 Wcv = 8M/L2 - (Wfc+Wvig+Wbv)W bovedilla m/l 102.4 50.2 1.2Firme Compresion 72.52 72.52 72.52Total Cm /m/ l 196.9 144.7 95.8W viva


200 cm 284.33 518.36 748.00 973.24 1096.48 1692.35 2254.33 2782.43250 cm 111.09 260.87 407.84 551.99 630.87 1012.22 1371.89 1709.87300 cm 121.00 223.06 323.17 377.94 642.77 892.54 1127.25350 cm 111.64 185.19 225.43 420.00 603.51 775.95400 cm 95.64 126.45 275.42 415.91 547.94450 cm 176.29 287.30 391.61500 cm 105.38 195.30 279.80 morterobarro hielo seco550 cm 127.23 197.07 cm600 cm 134.14

14 18.2 9.1 1.35LONGITUDES L 20 21.5 11.45 1.88

cm 2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm pzas/m2 7.5 7.35 1.22200 cm 337.30 571.30 799.30 1025.30 1149.30 1745.30 2307.30 2835.30 0.746250 cm 163.78 313.54 459.46 604.10 683.46 1064.90 1424.58 1762.50300 cm 173.52 274.86 375.30 430.41 695.30 945.08 1179.74350 cm 163.54 237.34 277.83 472.44 655.95 828.36 14 102.4 50.2 1.2400 cm 91.30 147.80 178.80 327.80 468.30 600.30 20450 cm 110.90 228.63 339.65 443.94500 cm 157.70 247.62 332.10550 cm 105.22 179.53 249.35600 cm 127.74 186.41650 cm 137.43


200 cm 386.24 620.24 848.24 1074.24 1198.24 1794.24 2356.24 2884.20250 cm 212.72 362.48 508.40 653.04 732.40 1113.84 1473.52 1811.44300 cm 118.47 222.47 323.80 424.24 479.36 744.24 994.02 1228.69350 cm 138.04 212.49 286.29 326.78 521.39 704.90 877.31400 cm 140.24 196.74 227.74 376.74 517.24 649.24450 cm 90.71 135.36 159.85 277.58 388.59 492.89500 cm 91.44 111.28 206.64 296.56 381.04550 cm 154.16 228.48 298.29600 cm 114.24 176.69 235.36650 cm 136.39 186.37700 cm 104.41 147.51750 cm 116.16

PESO BOVEDILLA

RESISTENCIA A LA RUPTURA PARA VIGUETAS DE 16x11

CARGAS Permisibles VIVAS MAXIMAS Wv (m2) con Bovedilla Mortero (18.2 Kg/pza x7.5 pzas/m2 x 0.746 =102.4 kg/m)

wm sobre vigueta/m

kg/pza

Analisis Carga Muerta

CARGAS Permisibles VIVAS MAXIMAS Wv (m2) con Bovedilla de Barro (9.1 Kg/pza x7.35 pzas/m2 x 0.746 =50.2 kg/m)

CARGAS Permisibles VIVAS MAXIMAS Wv (m2) con Bovedilla de Poliestireno (1.35 Kg/pza x 1.2 pzas/m2 x 0.746 =1.2 kg/m)

12



2 Φ 3mm 3 Φ 3mm 4 Φ 3mm 5 Φ 3mm 2 Φ 5mm 3 Φ 5mm 4 Φ 5mm 5 Φ 5mm0.8 Fpi 13520 13520 13520 13520 13520 13520 13520 13520Ass 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625nº 2 3 4 5 2 3 4 5

1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5Fy 4200 4200 4200 4200 4200 4200 4200 4200 mortero barroa 0.07065 0.07065 0.07065 0.07065 0.19625 0.19625 0.19625 0.19625 cmnº 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 14 18.2 9.1Tu (Kg) 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5 20 21.5 11.45

pzas/m2 7.5 7.35Cu 1910.376 2865.564 3820.752 4775.94 5306.6 7959.9 10613.2 13266.5 0.7460,85 f'c 340 340 340 340 340 340 340 340b 11 11 11 11 11 11 11 11a= Cu / 0.85 f¡c b 0.51 0.77 1.02 1.28 1.42 2.13 2.84 3.55 14 102.4 50.2

20 120.9 63.1σTu 1719.34 2579.01 3438.68 4298.35 4775.94 7163.91 9551.88 11939.85d-a/2 18.99 18.87 18.74 18.61 18.54 18.19 17.83 17.48Mu= σTu(d-a/2) 32658.15 48657.89 64438.07 79998.69 88548.61 130281.74 170320.75 208665.64Mu= σTu(d-a/2) 327 487 644 800 885 1303 1703 2087

mortero barro hielo secoW vigueta m/l 28 28 28 Wcv = 8M/L2 - (Wfc+Wvig+Wbv)W bovedilla m/l 120.9 63.1 1.7Firme Compresion 72.52 72.52 72.52Total Cm /m/l 221.5 163.6 102.2


200 cm 432.50 752.50 1106.50 1378.50 1548.50 2384.50 3184.91 3952.15250 cm 197.06 401.86 628.42 802.50 911.30 1446.34 1958.34 2449.51300 cm 69.17 211.39 368.72 489.61 565.17 936.72 1292.28 1633.26350 cm 96.54 212.13 300.95 356.46 629.44 890.66 1141.09400 cm 110.50 178.50 221.00 430.00 630.00 821.65450 cm 94.55 128.13 293.27 451.29 602.64500 cm 195.46 323.46 445.99600 cm 68.06 156.94 241.93700 cm 56.54 118.88


200 cm 490.50 810.50 1164.50 1436.40 1606.40 2442.40 3242.40 4010.36250 cm 255.06 459.86 686.42 860.40 969.20 1504.24 2016.24 2507.72300 cm 127.17 269.39 426.72 547.61 623.07 994.62 1350.18 1691.47350 cm 154.54 270.13 358.85 414.36 687.34 948.56 1199.30400 cm 80.00 168.50 236.40 278.90 487.90 687.90 879.86450 cm 98.82 152.45 186.03 351.17 509.19 660.86500 cm 92.40 119.60 253.36 381.36 504.20600 cm 125.96 214.84 300.14700 cm 114.44 177.10800 cm 97.24


200 cm 551.80 871.80 1225.80 1497.80 1667.80 2503.80 3242.40 4071.80250 cm 316.36 521.16 747.72 921.80 1030.60 1565.64 2077.64 2569.16300 cm 188.47 330.69 488.02 608.91 684.47 1056.02 1411.58 1752.91350 cm 111.35 215.84 331.43 420.25 475.76 748.74 1009.96 1260.74400 cm 141.30 229.80 297.80 340.30 549.30 749.30 941.30450 cm 90.20 160.12 213.85 247.43 412.57 570.59 722.29500 cm 110.28 153.80 181.00 314.76 442.76 565.64600 cm 94.47 187.36 276.24 361.58700 cm 110.53 175.84 238.53800 cm 110.68 158.68850 cm 128.89

RESISTENCIA LA RUPTURA DE VIGUETAS DE 21x11


PESO BOVEDIL

Analisis Carga Muerta

kg/pza

wm sobre viguet



Curvas Con Variantes de Bovedilla

Documents

Transcript of Curvas Con Variantes de Bovedilla