Proyecto Preesforzado Luis Pocasangre

Datos Estructurales

Concreto Acero de Refuerzo

4.5

3600

3.5

Pre-dimensionamiento de la sección

L (m) 18

L (cm) 1800

h (cm) 90

9

36

14.40

A (cm2) 1490.40d (cm) 76.68e (cm) 36.97

Eje Neutro (cm) 50.28

y1 (cm) 39.72

S1 (cm3) 9.79E+04S2 (cm3) 1.24E+05I1 (cm4) 2.55E+06I2 (cm4) 2.37E+06I (cm4) 4.92E+06

ƒc´(kN/cm2) ƒ

y (kN/cm2)

Ec (kN/cm2) Es(kN/cm

2)

ƒci´(kN/cm2)

hf (cm)

bf (cm)

bw (cm)

Datos Estructurales

Acero de Refuerzo Acero de Preesfuerzo

50 150

19500 19500

ƒP (kN/cm2)

EP(kN/cm2)

Otros Datos

L(m) 18

Separación entre vigas a(m) 6

3.5

1.5

21

DP(cm) 13.37

Pérdida por relajación del acero (%) 5

Coef. Flujo plástico ( )ɸ 1.6

Deslizamiento de anclaje (mm) 1.5

Coeficiente de fricción (µ) 0.19

k 5.00E-03

25

10

Recub. Mínimo (cm) 10

Cálculo de los momentos

44.7

3.73

150.90

1961.25

Carga muerta (DL) (kN/m2)

Carga viva (LL)(kN/m2)

AP (cm2)

γc (kN/m3)

ɸducto (cm)

Combinación de carga (kN/m2)

qPP (kN/m)

MPP (kN-m)

Ms (kN-m)

Cálculo de Esfuerzos Admisibles

0.200

1.750

0.257

1.485

ƒtt (kN/cm2)

ƒct (kN/cm2)

ƒts (kN/cm2)

ƒcs (kN/cm2)

200.72

2105.69

2507.91

2258.94

2182.31

Suponiendo

0.77

0.84

Cálculo de Pi

Pi kN/cm2

Pi1

Pi2

Pi3

Pi4

Piprom

Cálculo de Pérdidas

Pre-tensado

21

2182.31

19500

3600

n 5.42

e (cm) 36.97

1490.40

4.92E+06

103.92

2.07

5

11.21

10.79

ᶲ 1.6

17.94

17.27t (días) -----------

0.0003

5.85

5.63

X1 9.00

X2 18.00

Z1 0.06

Z2 0.12

P(X) -----------

P(X) -----------µ 0.19K 5E-03

R (m) 109.56

-----------

Δ ---------------------------------

As (cm2)

Pi (kN/cm2)

Es

Ec

A (cm2)

I (mm4)

fs

Fc

%ΔFs,rel. acero

Δfs, elástica

%Δfs, elástica

Δfs,creep

%Δfs,creep

Єsc

Δfs,frag

%Δfs,frag

%ΔPf

ΔFs,anclaje

%ΔFs,anclaje

Sumatoria Pérdidas 38.68Pérdidas 0.39

Pérdidas en relación al 100%0.61


Post-Tensado

21

2182.31

19500

3600

5.42

36.97

1490.40

4.92E+06

103.92

2.07

5

-----------

-----------

1.6

17.94

17.278

0.0002

0.021

0.02

9.00

18.00

0.06

0.12

2053.98

1933.190.195E-03109.56

5.88

1.51.6251.56

29.710.30

0.70

0.62

1.18

1.82

-0.10

0.45

0.40

1.75

1.49

0.51

No cumple

Ok

No cumple

Ok

0.45

Verificación de Esfuerzos Permisibles

ƒt1

ƒt2

ƒs1

ƒs2

ƒr

ƒtt

ƒct

ƒcs

ƒct

ƒt1 ≤ ƒtt

ƒt2 ≤ ƒct

ƒs1 ≤ ƒcs

ƒs2

≤ ƒct

Cálculo del Factor de Seguridad Crítico

ƒr

3095.26

1961.25

1.58

Mcr

Ms

FScr

Verificación de módulos de sección

9.79E+04

1.24E+05

1740.2413265372

5392.9174934103

Cumple

Cumple

S1 (cm3)

S2 (cm3)

S1≥

S2≥

Proceso iterativo momento último viga T

X (cm)

10

20

30

40

50

60

70

80

90

100

110

120

121

122

123

124

125

126

45

44

46

47

48

49

45.5

45.8

45.2

45.1

44.95

43

42.5

42

41

40.95

42.4

42.3

42.2

42.1

42.05

41.95

42.018


0 3.75E-03 0.023 2.71E-02 455.12

0 3.75E-03 0.010 1.37E-02 193.44

0 3.75E-03 0.005 9.19E-03 106.21

0 3.75E-03 0.003 6.96E-03 62.59

0 3.75E-03 0.002 5.61E-03 36.42

0 3.75E-03 0.001 4.72E-03 18.98

0 3.75E-03 0.000 4.08E-03 6.51

0 3.75E-03 0.000 3.60E-03 -2.83

0 3.75E-03 -0.001 3.23E-03 -10.10

0 3.75E-03 -0.001 2.93E-03 -15.91

0 3.75E-03 -0.001 2.69E-03 -20.67

0 3.75E-03 -0.001 2.48E-03 -24.64

0 3.75E-03 -0.001 2.46E-03 -25.00

0 3.75E-03 -0.001 2.45E-03 -25.35

0 3.75E-03 -0.001 2.43E-03 -25.70

0 3.75E-03 -0.001 2.41E-03 -26.04

0 3.75E-03 -0.001 2.39E-03 -26.38

0 3.75E-03 -0.001 2.38E-03 -26.71

0 3.75E-03 0.002 6.21E-03 48.05

0 3.75E-03 0.003 6.35E-03 50.70

0 3.75E-03 0.000 4.07E-03 6.35

0 3.75E-03 0.002 5.96E-03 43.11

0 3.75E-03 0.002 5.84E-03 40.79

0 3.75E-03 0.002 5.72E-03 38.56

0 3.75E-03 0.002 6.14E-03 46.78

0 3.75E-03 0.002 6.11E-03 46.02

0 3.75E-03 0.002 6.18E-03 47.54

0 3.75E-03 0.002 6.20E-03 47.80

0 3.75E-03 0.002 6.22E-03 48.18

0 3.75E-03 0.003 6.49E-03 53.46

0 3.75E-03 0.003 6.56E-03 54.89

0 3.75E-03 0.003 6.64E-03 56.36

0 3.75E-03 0.003 6.79E-03 59.39

0 3.75E-03 0.003 6.80E-03 59.55

0 3.75E-03 0.003 6.58E-03 55.18

0 3.75E-03 0.003 6.59E-03 55.47

0 3.75E-03 0.003 6.61E-03 55.76

0 3.75E-03 0.003 6.62E-03 56.06

0 3.75E-03 0.003 6.63E-03 56.21

0 3.75E-03 0.003 6.64E-03 56.50

0 3.75E-03 0.003 6.63E-03 56.30

Єpp Єpc Єpu Єpb ƒpu (kN/cm2)


C (kN)

4.5 262.44 87.48 349.92 9557.56

4.5 524.88 87.48 612.36 4062.15

4.5 787.32 87.48 874.8 2230.35

4.5 1049.76 87.48 1137.24 1314.45

4.5 1312.2 87.48 1399.68 764.91

4.5 1574.64 87.48 1662.12 398.55

4.5 1837.08 87.48 1924.56 136.77

4.5 2099.52 87.48 2187 -59.48

4.5 2361.96 87.48 2449.44 -212.12

4.5 2624.4 87.48 2711.88 -334.17

4.5 2886.84 87.48 2974.32 -434.09

4.5 3149.28 87.48 3236.76 -517.35

4.5 3175.524 87.48 3263.004 -524.92

4.5 3201.768 87.48 3289.248 -532.36

4.5 3228.012 87.48 3315.492 -539.69

4.5 3254.256 87.48 3341.736 -546.89

4.5 3280.5 87.48 3367.98 -553.99

4.5 3306.744 87.48 3394.224 -560.96

4.5 1180.98 87.48 1268.46 1009.15

4.5 1154.736 87.48 1242.216 1064.66

4.5 1207.224 87.48 1294.704 133.44

4.5 1233.468 87.48 1320.948 905.22

4.5 1259.712 87.48 1347.192 856.50

4.5 1285.956 87.48 1373.436 809.77

4.5 1194.102 87.48 1281.582 982.31

4.5 1201.9752 87.48 1289.4552 966.49

4.5 1186.2288 87.48 1273.7088 998.34

4.5 1183.6044 87.48 1271.0844 1003.74

4.5 1179.6678 87.48 1267.1478 1011.87

4.5 1128.492 87.48 1215.972 1122.75

4.5 1115.37 87.48 1202.85 1152.67

4.5 1102.248 87.48 1189.728 1183.46

4.5 1076.004 87.48 1163.484 1247.28

4.5 1074.6918 87.48 1162.1718 1250.55

4.5 1112.7456 87.48 1200.2256 1158.77

4.5 1110.1212 87.48 1197.6012 1164.90

4.5 1107.4968 87.48 1194.9768 1171.05

4.5 1104.8724 87.48 1192.3524 1177.24

4.5 1103.5602 87.48 1191.0402 1180.34

4.5 1100.9358 87.48 1188.4158 1186.57

4.5 1102.720392 87.48 1190.200392 1182.33

ƒ'c (kN/cm2) C1 (kN) C2 (kN) Ts (kN)


T (kN) Dif(C-T) (kN) Mn

258.87 9816.43 -9466.51 1961.25

55.51 4117.67 -3505.31 1961.25

20.50 2250.85 -1376.05 1961.25

9.14 1323.59 -186.35 1961.25

4.29 769.21 630.47 1961.25

1.88 400.43 1261.69 1961.25

0.56 137.33 1787.23 1961.25

-0.21 -59.69 2246.69 1961.25

-0.68 -212.81 2662.25 1961.25

-0.98 -335.15 3047.03 1961.25

-1.17 -435.25 3409.57 1961.25

-1.28 -518.63 3755.39 1961.25

-1.29 -526.21 3789.22 1961.25

-1.30 -533.67 3822.91 1961.25

-1.31 -541.00 3856.49 1961.25

-1.32 -548.21 3889.95 1961.25

-1.33 -555.31 3923.29 1961.25

-1.33 -562.30 3956.52 1961.25

6.27 1015.42 253.04 1961.25

6.76 1071.42 170.80 1961.25

0.54 133.98 1160.72 1961.25

5.39 910.61 410.34 1961.25

5.0 861.5 485.7 1961.25

4.6 814.4 559.0 1961.25

6.0 988.3 293.2 1961.25

5.9 972.4 317.1 1961.25

6.2 1004.5 269.2 1961.25

6.2 1010.0 261.1 1961.25

6.3 1018.2 249.0 1961.25

7.3 1130.0 85.9 1961.25

7.6 1160.2 42.6 1961.25

7.9 1191.3 -1.6 1961.25

8.5 1255.7 -92.3 1961.25

8.5 1259.1 -96.9 1961.25

7.6 1166.4 33.8 1961.25

7.7 1172.6 25.0 1961.25

7.7 1178.8 16.2 1961.25

7.8 1185.0 7.3 1961.25

7.8 1188.2 2.9 1961.25

7.9 1194.5 -6.0 1961.25

7.8 1190.2 0.0 1961.25

Tp (kN)


Prom (C, T) Mn(kN-m) Mnᶲ

1155.585 834.101 --------

1286.805 870.910 --------

1418.025 895.908 --------

1549.245 909.097 --------

1680.465 910.476 --------

1811.685 900.045 --------

1942.905 877.804 --------

2074.125 843.754 --------

2205.345 797.894 --------

2336.565 740.224 --------

2467.785 670.744 --------

2599.005 589.454 --------

2612.127 580.676 --------

2625.249 571.779 --------

2638.371 562.765 --------

2651.493 553.632 --------

2664.615 544.381 --------

2677.737 535.012 --------

1614.855 911.263 --------

1601.733 911.066 --------

1627.977 911.342 --------

1641.099 911.302 --------

1654.221 911.145 --------

1667.343 910.869 --------

1621.416 911.317 --------

1625.353 911.335 --------

1617.479 911.288 --------

1616.167 911.276 --------

1614.199 911.256 --------

1588.611 910.751 --------

1582.05 910.549 --------

1575.489 910.318 819.29

1562.367 909.766 --------

1561.711 909.736 --------

1580.738 910.505 --------

1579.426 910.460 --------

1578.113 910.414 --------

1576.801 910.366 --------

1576.145 910.342 819.31

1574.833 910.293 --------

1575.725 910.326 819.294


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No cumple, diseño incorrecto

Mᶲ n≥Mu

Pre-dimensionamiento de la sección

L (m) 18

L (cm) 1800

h (cm) 120

12

60

24.00

A (cm2) 3312.00

d (cm) 106.68

e (cm) 53.73

Eje Neutro (cm) 67.04

y1 (cm) 52.96

S1 (cm3) 2.90E+05

S2 (cm3) 3.67E+05

I1 (cm4) 1.01E+07

I2 (cm4) 9.37E+06

I (cm4) 1.94E+07

Cálculo de los momentos

44.7

8.28

335.34

2145.69


hf (cm)

bf (cm)

bw (cm)

Combinación de carga (kN/m2)

qPP (kN/m)

MPP (kN-m)

Ms (kN-m)

Pre-tensado

21

2182.31

19500

3600

n 5.42e (cm) 53.73

3312.00

1.94E+07

103.92

0.98

5

5.32

5.12

ᶲ 1.6

8.52

8.20

t (días) -----------

0.0003

5.85

5.63

X1 9.00X2 18.00Z1 0.07Z2 0.14P(X) -----------P(X) -----------µ 0.19K 5E-03

R (m) 75.38%ΔPf -----------

-----------

Δ -----------

-----------

-----------

Sumatoria Pérdidas 23.95

As (cm2)

Pi (kN/cm2)

Es

Ec

A (cm2)

I (cm4)

fs

Fc

%ΔFs,rel. acero

Δfs, elástica

%Δfs, elástica

Δfs,creep

%Δfs,creep

Єsc

Δfs,frag

%Δfs,frag

%ΔPf

ΔFs,anclaje

%ΔFs,anclaje

Pérdidas 0.24

Pérdidas en relación al 100%0.76



ƒr

Mcr

Ms

FScr

ƒtt (kN/cm2)

ƒct (kN/cm2)

ƒts (kN/cm2)

ƒcs (kN/cm2)

Otros Datos

L(m)

Separación entre vigas a(m)

DP(cm)

Pérdida por relajación del acero (%)

Coef. Flujo plástico ( )ɸ

Deslizamiento de anclaje (mm)

Coeficiente de fricción (µ)

k

Recub. Mínimo (cm)


Carga muerta (DL) (kN/m2)

Carga viva (LL)(kN/m2)

AP (cm2)

γc (kN/m3)

ɸducto

(cm)

Post-Tensado

21

2182.31

19500

3600

5.4253.73

3312.00

1.94E+07

103.92

0.98

5

-----------

-----------

1.6

8.52

8.20

8

0.0002

0.021

0.02

9.0018.000.070.14

2039.491906.010.195E-0375.3812.66

6.54

1.5

1.625

1.56

21.31

0.21

0.79


0.45

3267.13

2145.69

1.52


0.200

1.750

0.257

1.485

Otros Datos

18

6

3.5

1.5

21

13.37

5

1.6

1.5

0.19

5.00E-03

25

10

10

Verificación de módulos de sección

2.90E+05

3.67E+05

1406.8056008844

1157.1968539266

Cumple

Cumple

S1 (cm3)

S2 (cm3)

S1≥

S2≥


X (cm)

10 0 4.19E-03 0.034 3.80E-02

20 0 4.19E-03 0.015 1.94E-02

30 0 4.19E-03 0.009 1.31E-02

40 0 4.19E-03 0.006 1.00E-02

50 0 4.19E-03 0.004 8.16E-03

60 0 4.19E-03 0.003 6.92E-03

70 0 4.19E-03 0.002 6.03E-03

80 0 4.19E-03 0.001 5.36E-03

90 0 4.19E-03 0.001 4.84E-03

100 0 4.19E-03 0.000 4.43E-03

110 0 4.19E-03 0.000 4.09E-03

120 0 4.19E-03 0.000 3.81E-03

121 0 4.19E-03 0.000 3.78E-03

122 0 4.19E-03 0.000 3.75E-03

123 0 4.19E-03 0.000 3.73E-03

124 0 4.19E-03 0.000 3.70E-03

125 0 4.19E-03 -0.001 3.68E-03

126 0 4.19E-03 -0.001 3.66E-03

30.1 0 4.19E-03 0.009 1.31E-02

30.2 0 4.19E-03 0.009 1.31E-02

30.3 0 4.19E-03 0.009 1.30E-02

30.4 0 4.19E-03 0.009 1.30E-02

30.5 0 4.19E-03 0.009 1.29E-02

30.6 0 4.19E-03 0.009 1.29E-02

30.7 0 4.19E-03 0.009 1.29E-02

30.8 0 4.19E-03 0.009 1.28E-02

30.9 0 4.19E-03 0.009 1.28E-02

31 0 4.19E-03 0.009 1.27E-02

31.1 0 4.19E-03 0.009 1.27E-02

31.2 0 4.19E-03 0.008 1.27E-02

31.3 0 4.19E-03 0.008 1.26E-02

31.4 0 4.19E-03 0.008 1.26E-02

31.5 0 4.19E-03 0.008 1.25E-02

31.6 0 4.19E-03 0.008 1.25E-02

31.7 0 4.19E-03 0.008 1.25E-02

31.8 0 4.19E-03 0.008 1.24E-02

31.9 0 4.19E-03 0.008 1.24E-02

32 0 4.19E-03 0.008 1.24E-02

32.1 0 4.19E-03 0.008 1.23E-02

Єpp Єpc Єpu Єpb

32.2 0 4.19E-03 0.008 1.23E-02

32.3 0 4.19E-03 0.008 1.23E-02

32.4 0 4.19E-03 0.008 1.22E-02

32.5 0 4.19E-03 0.008 1.22E-02

32.6 0 4.19E-03 0.008 1.21E-02

32.7 0 4.19E-03 0.008 1.21E-02

32.8 0 4.19E-03 0.008 1.21E-02

32.9 0 4.19E-03 0.008 1.20E-02

33 0 4.19E-03 0.008 1.20E-02

33.1 0 4.19E-03 0.008 1.20E-02

33.2 0 4.19E-03 0.008 1.19E-02

33.3 0 4.19E-03 0.008 1.19E-02

33.4 0 4.19E-03 0.008 1.19E-02

33.5 0 4.19E-03 0.008 1.18E-02

33.6 0 4.19E-03 0.008 1.18E-02

33.7 0 4.19E-03 0.008 1.18E-02

33.8 0 4.19E-03 0.008 1.17E-02

33.9 0 4.19E-03 0.008 1.17E-02

34 0 4.19E-03 0.007 1.17E-02

34.1 0 4.19E-03 0.007 1.16E-02

34.2 0 4.19E-03 0.007 1.16E-02

34.3 0 4.19E-03 0.007 1.16E-02

34.4 0 4.19E-03 0.007 1.15E-02

34.5 0 4.19E-03 0.007 1.15E-02

34.6 0 4.19E-03 0.007 1.15E-02

34.7 0 4.19E-03 0.007 1.15E-02

34.8 0 4.19E-03 0.007 1.14E-02

34.9 0 4.19E-03 0.007 1.14E-02

35 0 4.19E-03 0.007 1.14E-02

35.1 0 4.19E-03 0.007 1.13E-02

35.2 0 4.19E-03 0.007 1.13E-02

35.3 0 4.19E-03 0.007 1.13E-02

35.4 0 4.19E-03 0.007 1.12E-02

35.5 0 4.19E-03 0.007 1.12E-02

35.6 0 4.19E-03 0.007 1.12E-02

35.7 0 4.19E-03 0.007 1.12E-02

35.8 0 4.19E-03 0.007 1.11E-02

35.9 0 4.19E-03 0.007 1.11E-02

36 0 4.19E-03 0.007 1.11E-02

36.1 0 4.19E-03 0.007 1.10E-02

36.2 0 4.19E-03 0.007 1.10E-02

36.3 0 4.19E-03 0.007 1.10E-02

36.4 0 4.19E-03 0.007 1.10E-02

36.5 0 4.19E-03 0.007 1.09E-02

36.6 0 4.19E-03 0.007 1.09E-02

36.7 0 4.19E-03 0.007 1.09E-02

36.8 0 4.19E-03 0.007 1.08E-02

36.9 0 4.19E-03 0.007 1.08E-02

37 0 4.19E-03 0.007 1.08E-02

37.1 0 4.19E-03 0.007 1.08E-02

37.2 0 4.19E-03 0.007 1.07E-02

37.3 0 4.19E-03 0.007 1.07E-02

37.4 0 4.19E-03 0.006 1.07E-02

37.5 0 4.19E-03 0.006 1.07E-02

37.6 0 4.19E-03 0.006 1.06E-02

37.7 0 4.19E-03 0.006 1.06E-02

37.8 0 4.19E-03 0.006 1.06E-02

37.9 0 4.19E-03 0.006 1.05E-02

38 0 4.19E-03 0.006 1.05E-02

38.1 0 4.19E-03 0.006 1.05E-02

38.2 0 4.19E-03 0.006 1.05E-02

38.3 0 4.19E-03 0.006 1.04E-02

38.4 0 4.19E-03 0.006 1.04E-02

38.5 0 4.19E-03 0.006 1.04E-02

38.6 0 4.19E-03 0.006 1.04E-02

38.7 0 4.19E-03 0.006 1.03E-02

38.8 0 4.19E-03 0.006 1.03E-02

38.9 0 4.19E-03 0.006 1.03E-02

39 0 4.19E-03 0.006 1.03E-02

39.1 0 4.19E-03 0.006 1.02E-02

39.2 0 4.19E-03 0.006 1.02E-02

39.3 0 4.19E-03 0.006 1.02E-02

39.4 0 4.19E-03 0.006 1.02E-02

39.5 0 4.19E-03 0.006 1.01E-02

39.6 0 4.19E-03 0.006 1.01E-02

39.7 0 4.19E-03 0.006 1.01E-02

39.8 0 4.19E-03 0.006 1.01E-02

39.9 0 4.19E-03 0.006 1.01E-02

40 0 4.19E-03 0.006 1.00E-02

36.0025 0 4.19E-03 0.007 1.11E-02

Asmín(cm2) 10.242#9 (cm2) 12.83


C (kN)

741.62 4.5 437.4 194.4 631.8

377.57 4.5 874.8 194.4 1069.2

256.23 4.5 1312.2 194.4 1506.6

195.55 4.5 1749.6 194.4 1944

159.15 4.5 2187 194.4 2381.4

134.88 4.5 2624.4 194.4 2818.8

117.54 4.5 3061.8 194.4 3256.2

104.54 4.5 3499.2 194.4 3693.6

94.43 4.5 3936.6 194.4 4131

86.34 4.5 4374 194.4 4568.4

79.72 4.5 4811.4 194.4 5005.8

74.20 4.5 5248.8 194.4 5443.2

73.70 4.5 5292.54 194.4 5486.94

73.21 4.5 5336.28 194.4 5530.68

72.72 4.5 5380.02 194.4 5574.42

72.25 4.5 5423.76 194.4 5618.16

71.78 4.5 5467.5 194.4 5661.9

71.31 4.5 5511.24 194.4 5705.64

255.42 4.5 1316.574 194.4 1510.974

254.62 4.5 1320.948 194.4 1515.348

253.82 4.5 1325.322 194.4 1519.722

253.03 4.5 1329.696 194.4 1524.096

252.25 4.5 1334.07 194.4 1528.47

251.47 4.5 1338.444 194.4 1532.844

250.69 4.5 1342.818 194.4 1537.218

249.92 4.5 1347.192 194.4 1541.592

249.16 4.5 1351.566 194.4 1545.966

248.40 4.5 1355.94 194.4 1550.34

247.64 4.5 1360.314 194.4 1554.714

246.89 4.5 1364.688 194.4 1559.088

246.15 4.5 1369.062 194.4 1563.462

245.41 4.5 1373.436 194.4 1567.836

244.67 4.5 1377.81 194.4 1572.21

243.94 4.5 1382.184 194.4 1576.584

243.21 4.5 1386.558 194.4 1580.958

242.49 4.5 1390.932 194.4 1585.332

241.77 4.5 1395.306 194.4 1589.706

241.06 4.5 1399.68 194.4 1594.08

240.35 4.5 1404.054 194.4 1598.454

ƒpu (kN/cm2) ƒ'c (kN/cm

2) C1 (kN) C2 (kN)

239.64 4.5 1408.428 194.4 1602.828

238.94 4.5 1412.802 194.4 1607.202

238.25 4.5 1417.176 194.4 1611.576

237.56 4.5 1421.55 194.4 1615.95

236.87 4.5 1425.924 194.4 1620.324

236.19 4.5 1430.298 194.4 1624.698

235.51 4.5 1434.672 194.4 1629.072

234.83 4.5 1439.046 194.4 1633.446

234.16 4.5 1443.42 194.4 1637.82

233.50 4.5 1447.794 194.4 1642.194

232.83 4.5 1452.168 194.4 1646.568

232.17 4.5 1456.542 194.4 1650.942

231.52 4.5 1460.916 194.4 1655.316

230.87 4.5 1465.29 194.4 1659.690

230.22 4.5 1469.664 194.4 1664.064

229.58 4.5 1474.038 194.4 1668.438

228.94 4.5 1478.412 194.4 1672.812

228.31 4.5 1482.786 194.4 1677.186

227.67 4.5 1487.16 194.4 1681.560

227.05 4.5 1491.534 194.4 1685.934

226.42 4.5 1495.908 194.4 1690.308

225.80 4.5 1500.282 194.4 1694.682

225.18 4.5 1504.656 194.4 1699.056

224.57 4.5 1509.03 194.4 1703.430

223.96 4.5 1513.404 194.4 1707.804

223.35 4.5 1517.778 194.4 1712.178

222.75 4.5 1522.152 194.4 1716.552

222.15 4.5 1526.526 194.4 1720.926

221.55 4.5 1530.9 194.4 1725.300

220.96 4.5 1535.274 194.4 1729.674

220.37 4.5 1539.648 194.4 1734.048

219.79 4.5 1544.022 194.4 1738.422

219.20 4.5 1548.396 194.4 1742.796

218.63 4.5 1552.77 194.4 1747.170

218.05 4.5 1557.144 194.4 1751.544

217.48 4.5 1561.518 194.4 1755.918

216.91 4.5 1565.892 194.4 1760.292

216.34 4.5 1570.266 194.4 1764.666

215.78 4.5 1574.64 194.4 1769.040

215.22 4.5 1579.014 194.4 1773.414

214.66 4.5 1583.388 194.4 1777.788

214.10 4.5 1587.762 194.4 1782.162

213.55 4.5 1592.136 194.4 1786.536

213.01 4.5 1596.51 194.4 1790.910

212.46 4.5 1600.884 194.4 1795.284

211.92 4.5 1605.258 194.4 1799.658

211.38 4.5 1609.632 194.4 1804.032

210.84 4.5 1614.006 194.4 1808.406

210.31 4.5 1618.38 194.4 1812.780

209.78 4.5 1622.754 194.4 1817.154

209.25 4.5 1627.128 194.4 1821.528

208.73 4.5 1631.502 194.4 1825.902

208.21 4.5 1635.876 194.4 1830.276

207.69 4.5 1640.25 194.4 1834.650

207.17 4.5 1644.624 194.4 1839.024

206.66 4.5 1648.998 194.4 1843.398

206.15 4.5 1653.372 194.4 1847.772

205.64 4.5 1657.746 194.4 1852.146

205.13 4.5 1662.12 194.4 1856.520

204.63 4.5 1666.494 194.4 1860.894

204.13 4.5 1670.868 194.4 1865.268

203.63 4.5 1675.242 194.4 1869.642

203.14 4.5 1679.616 194.4 1874.016

202.64 4.5 1683.99 194.4 1878.390

202.15 4.5 1688.364 194.4 1882.764

201.67 4.5 1692.738 194.4 1887.138

201.18 4.5 1697.112 194.4 1891.512

200.70 4.5 1701.486 194.4 1895.886

200.22 4.5 1705.86 194.4 1900.260

199.74 4.5 1710.234 194.4 1904.634

199.27 4.5 1714.608 194.4 1909.008

198.79 4.5 1718.982 194.4 1913.382

198.32 4.5 1723.356 194.4 1917.756

197.86 4.5 1727.73 194.4 1922.130

197.39 4.5 1732.104 194.4 1926.504

196.93 4.5 1736.478 194.4 1930.878

196.47 4.5 1740.852 194.4 1935.252

196.01 4.5 1745.226 194.4 1939.626

195.55 4.5 1749.6 194.4 1944.000

215.76 4.5 1574.74935 194.4 1769.149


T (kN) Dif(C-T) (kN) Mn

8465.76 592.31 9058.07 -8426.27 2145.69 1388.745

3795.06 153.53 3948.59 -2879.39 2145.69 1607.445

2238.16 70.70 2308.86 -802.26 2145.69 1826.145

1459.70 41.18 1500.89 443.11 2145.69 2044.845

992.63 27.28 1019.91 1361.49 2145.69 2263.545

681.25 19.59 700.85 2117.95 2145.69 2482.245

458.84 14.88 473.72 2782.48 2145.69 2700.945

292.03 11.77 303.80 3389.80 2145.69 2919.645

162.29 9.60 171.89 3959.11 2145.69 3138.345

58.49 8.03 66.52 4501.88 2145.69 3357.045

-26.43 6.84 -19.58 5025.38 2145.69 3575.745

-97.20 5.93 -91.27 5534.47 2145.69 3794.445

-103.63 5.85 -97.78 5584.72 2145.69 3816.315

-109.96 5.77 -104.19 5634.87 2145.69 3838.185

-116.18 5.70 -110.49 5684.91 2145.69 3860.055

-122.31 5.62 -116.69 5734.85 2145.69 3881.925

-128.33 5.55 -122.79 5784.69 2145.69 3903.795

-134.27 5.48 -128.79 5834.43 2145.69 3925.665

2227.81 70.26 2298.07 -787.09 2145.69 1828.332

2217.53 69.82 2287.35 -772.00 2145.69 1830.519

2207.33 69.38 2276.71 -756.99 2145.69 1832.706

2197.18 68.95 2266.13 -742.04 2145.69 1834.893

2187.11 68.5 2255.6 -727.16 2145.69 1837.08

2177.10 68.1 2245.2 -712.36 2145.69 1839.267

2167.16 67.7 2234.8 -697.62 2145.69 1841.454

2157.28 67.3 2224.5 -682.95 2145.69 1843.641

2147.46 66.9 2214.3 -668.35 2145.69 1845.828

2137.71 66.4 2204.2 -653.82 2145.69 1848.015

2128.02 66.0 2194.1 -639.35 2145.69 1850.202

2118.39 65.6 2184.0 -624.95 2145.69 1852.389

2108.83 65.2 2174.1 -610.61 2145.69 1854.576

2099.32 64.9 2164.2 -596.34 2145.69 1856.763

2089.88 64.5 2154.3 -582.14 2145.69 1858.95

2080.49 64.1 2144.6 -567.99 2145.69 1861.137

2071.17 63.7 2134.9 -553.91 2145.69 1863.324

2061.90 63.3 2125.2 -539.89 2145.69 1865.511

2052.69 62.9 2115.6 -525.94 2145.69 1867.698

2043.54 62.6 2106.1 -512.04 2145.69 1869.885

2034.45 62.2 2096.7 -498.21 2145.69 1872.072

Ts (kN) Tp (kN)Prom (C,

T)

2025.41 61.8 2087.3 -484.43 2145.69 1874.259

2016.43 61.5 2077.9 -470.71 2145.69 1876.446

2007.50 61.1 2068.6 -457.06 2145.69 1878.633

1998.63 60.8 2059.4 -443.46 2145.69 1880.820

1989.81 60.4 2050.2 -429.91 2145.69 1883.007

1981.05 60.1 2041.1 -416.43 2145.69 1885.194

1972.34 59.7 2032.1 -403.00 2145.69 1887.381

1963.69 59.4 2023.1 -389.63 2145.69 1889.568

1955.08 59.0 2014.1 -376.31 2145.69 1891.755

1946.53 58.7 2005.2 -363.05 2145.69 1893.942

1938.03 58.4 1996.4 -349.84 2145.69 1896.129

1929.58 58.1 1987.6 -336.69 2145.69 1898.316

1921.18 57.7 1978.9 -323.59 2145.69 1900.503

1912.83 57.4 1970.2 -310.54 2145.69 1902.690

1904.53 57.1 1961.6 -297.55 2145.69 1904.877

1896.28 56.8 1953.0 -284.61 2145.69 1907.064

1888.08 56.4 1944.5 -271.72 2145.69 1909.251

1879.93 56.1 1936.1 -258.88 2145.69 1911.438

1871.83 55.8 1927.6 -246.09 2145.69 1913.625

1863.77 55.5 1919.3 -233.35 2145.69 1915.812

1855.76 55.2 1911.0 -220.66 2145.69 1917.999

1847.79 54.9 1902.7 -208.02 2145.69 1920.186

1839.88 54.6 1894.5 -195.43 2145.69 1922.373

1832.01 54.3 1886.3 -182.89 2145.69 1924.560

1824.18 54.0 1878.2 -170.39 2145.69 1926.747

1816.40 53.7 1870.1 -157.95 2145.69 1928.934

1808.67 53.4 1862.1 -145.55 2145.69 1931.121

1800.97 53.1 1854.1 -133.19 2145.69 1933.308

1793.33 52.9 1846.2 -120.89 2145.69 1935.495

1785.72 52.6 1838.3 -108.63 2145.69 1937.682

1778.16 52.3 1830.5 -96.41 2145.69 1939.869

1770.64 52.0 1822.7 -84.24 2145.69 1942.056

1763.17 51.7 1814.9 -72.12 2145.69 1944.243

1755.73 51.5 1807.2 -60.04 2145.69 1946.430

1748.34 51.2 1799.5 -48.00 2145.69 1948.617

1740.99 50.9 1791.9 -36.01 2145.69 1950.804

1733.68 50.7 1784.4 -24.06 2145.69 1952.991

1726.42 50.4 1776.8 -12.15 2145.69 1955.178

1719.19 50.1 1769.3 -0.29 2145.69 1957.365

1712.00 49.9 1761.9 11.53 2145.69 1959.552

1704.85 49.6 1754.5 23.31 2145.69 1961.739

1697.74 49.4 1747.1 35.05 2145.69 1963.926

1690.67 49.1 1739.8 46.75 2145.69 1966.113

1683.64 48.9 1732.5 58.41 2145.69 1968.300

1676.65 48.6 1725.3 70.02 2145.69 1970.487

1669.70 48.4 1718.1 81.60 2145.69 1972.674

1662.78 48.1 1710.9 93.14 2145.69 1974.861

1655.90 47.9 1703.8 104.63 2145.69 1977.048

1649.06 47.6 1696.7 116.09 2145.69 1979.235

1642.25 47.4 1689.6 127.51 2145.69 1981.422

1635.48 47.2 1682.6 138.89 2145.69 1983.609

1628.75 46.9 1675.7 150.23 2145.69 1985.796

1622.06 46.7 1668.7 161.54 2145.69 1987.983

1615.39 46.5 1661.8 172.80 2145.69 1990.170

1608.77 46.2 1655.0 184.03 2145.69 1992.357

1602.18 46.0 1648.2 195.23 2145.69 1994.544

1595.62 45.8 1641.4 206.38 2145.69 1996.731

1589.10 45.5 1634.6 217.50 2145.69 1998.918

1582.62 45.3 1627.9 228.59 2145.69 2001.105

1576.17 45.1 1621.3 239.63 2145.69 2003.292

1569.75 44.9 1614.6 250.65 2145.69 2005.479

1563.36 44.7 1608.0 261.62 2145.69 2007.666

1557.01 44.4 1601.4 272.57 2145.69 2009.853

1550.69 44.2 1594.9 283.47 2145.69 2012.040

1544.41 44.0 1588.4 294.35 2145.69 2014.227

1538.15 43.8 1582.0 305.19 2145.69 2016.414

1531.93 43.6 1575.5 315.99 2145.69 2018.601

1525.74 43.4 1569.1 326.76 2145.69 2020.788

1519.59 43.2 1562.8 337.50 2145.69 2022.975

1513.46 43.0 1556.4 348.21 2145.69 2025.162

1507.36 42.8 1550.1 358.88 2145.69 2027.349

1501.30 42.6 1543.9 369.52 2145.69 2029.536

1495.27 42.4 1537.6 380.13 2145.69 2031.723

1489.27 42.2 1531.4 390.71 2145.69 2033.910

1483.29 42.0 1525.3 401.25 2145.69 2036.097

1477.35 41.8 1519.1 411.76 2145.69 2038.284

1471.44 41.6 1513.0 422.24 2145.69 2040.471

1465.56 41.4 1506.9 432.69 2145.69 2042.658

1459.70 41.2 1500.9 443.11 2145.69 2044.845

1719.01 50.1 1769.1 0.01 2145.69 1957.420


Mn(kN-m) Mnᶲ

1002.396 --------

1087.919 --------

1153.758 --------

1199.915 --------

1226.389 --------

1233.179 --------

1220.287 --------

1187.712 --------

1135.453 --------

1063.512 --------

971.887 --------

860.580 --------

848.367 --------

835.957 --------

823.350 --------

810.546 --------

797.545 --------

784.348 --------

1154.317 --------

1154.874 --------

1155.429 --------

1155.983 --------

1156.534 --------

1157.083 --------

1157.630 --------

1158.175 --------

1158.719 --------

1159.260 --------

1159.799 --------

1160.336 --------

1160.872 --------

1161.405 --------

1161.937 --------

1162.466 --------

1162.994 --------

1163.519 --------

1164.043 --------

1164.564 --------

1165.084 --------

1165.602 --------

1166.117 --------

1166.631 --------

1167.143 --------

1167.653 --------

1168.160 --------

1168.666 --------

1169.170 --------

1169.672 --------

1170.172 --------

1170.670 --------

1171.166 1054.049

1171.660 1054.494

1172.152 1054.937

1172.642 1055.378

1173.130 1055.817

1173.617 1056.255

1174.101 1056.691

1174.583 1057.125

1175.063 1057.557

1175.542 1057.987

1176.018 1058.416

1176.492 1058.843

1176.965 1059.268

1177.435 1059.692

1177.904 1060.113

1178.370 1060.533

1178.835 1060.951

1179.297 1061.367

1179.758 1061.782

1180.216 1062.195

1180.673 1062.606

1181.128 1063.015

1181.580 1063.422

1182.031 1063.828

1182.480 1064.232

1182.927 1064.634

1183.371 1065.034

1183.814 1065.433

1184.255 1065.830

1184.694 1066.225

1185.131 1066.618

1185.566 1067.010

1185.999 1067.399

1186.430 1067.787

1186.859 1068.173

1187.286 1068.558

1187.712 1068.940

1188.135 1069.321

1188.556 1069.700

1188.975 1070.078

1189.393 1070.453

1189.808 1070.827

1190.221 1071.199

1190.633 1071.569

1191.042 1071.938

1191.449 1072.304

1191.855 1072.669

1192.258 1073.033

1192.660 1073.394

1193.059 1073.754

1193.457 1074.111

1193.853 1074.467

1194.246 1074.822

1194.638 1075.174

1195.028 1075.525

1195.416 1075.874

1195.801 1076.221

1196.185 1076.567

1196.567 1076.910

1196.947 1077.252

1197.325 1077.592

1197.701 1077.931

1198.075 1078.267

1198.447 1078.602

1198.817 1078.935

1199.185 1079.266

1199.551 1079.596

1199.915 1079.924

1183.825 1065.443

Diseño por Corte

X (m) L (m) R (kN)A(cm2)

0 52.98 18 476.82 3312

1 52.98 18 476.82 3312

2 52.98 18 476.82 3312

3 52.98 18 476.82 3312

4 52.98 18 476.82 3312

5 52.98 18 476.82 3312

6 52.98 18 476.82 3312

7 52.98 18 476.82 3312

8 52.98 18 476.82 3312

9 52.98 18 476.82 3312

10 52.98 18 476.82 3312

11 52.98 18 476.82 3312

12 52.98 18 476.82 3312

13 52.98 18 476.82 3312

14 52.98 18 476.82 3312

15 52.98 18 476.82 3312

16 52.98 18 476.82 3312

17 52.98 18 476.82 3312

18 52.98 18 476.82 3312

WT (kN/m)

Diseño por Corte

M (kN-m) V (kN)As (cm2) Y1 (cm) bw (cm)

21 0 476.82 52.96 67.04 24

21 450.33 423.84 52.96 67.04 24

21 847.68 370.86 52.96 67.04 24

21 1192.05 317.88 52.96 67.04 24

21 1483.44 264.9 52.96 67.04 24

21 1721.85 211.92 52.96 67.04 24

21 1907.28 158.94 52.96 67.04 24

21 2039.73 105.96 52.96 67.04 24

21 2119.2 52.98 52.96 67.04 24

21 2145.69 0 52.96 67.04 24

21 2119.2 -52.98 52.96 67.04 24

21 2039.73 -105.96 52.96 67.04 24

21 1907.28 -158.94 52.96 67.04 24

21 1721.85 -211.92 52.96 67.04 24

21 1483.44 -264.9 52.96 67.04 24

21 1192.05 -317.88 52.96 67.04 24

21 847.68 -370.86 52.96 67.04 24

21 450.33 -423.84 52.96 67.04 24

21 0 -476.82 52.96 67.04 24

Y2 (cm)

Diseño por Corte

e(cm)d (cm) fpe fpu

52.96 0.00 1.94E+07 100.00 165.00 3.33E-01

75.35 22.39 1.94E+07 100.00 165.00 3.33E-01

95.11 42.15 1.94E+07 100.00 165.00 3.33E-01

112.23 59.27 1.94E+07 100.00 165.00 3.33E-01

126.71 73.75 1.94E+07 100.00 165.00 3.33E-01

138.57 85.61 1.94E+07 100.00 165.00 3.33E-01

147.79 94.83 1.94E+07 100.00 165.00 3.33E-01

154.37 101.41 1.94E+07 100.00 165.00 3.33E-01

158.32 105.36 1.94E+07 100.00 165.00 3.33E-01

159.64 106.68 1.94E+07 100.00 165.00 3.33E-01

158.32 105.36 1.94E+07 100.00 165.00 3.33E-01

154.37 101.41 1.94E+07 100.00 165.00 3.33E-01

147.79 94.83 1.94E+07 100.00 165.00 3.33E-01

138.57 85.61 1.94E+07 100.00 165.00 3.33E-01

126.71 73.75 1.94E+07 100.00 165.00 3.33E-01

112.23 59.27 1.94E+07 100.00 165.00 3.33E-01

95.11 42.15 1.94E+07 100.00 165.00 3.33E-01

75.35 22.39 1.94E+07 100.00 165.00 3.33E-01

52.96 0.00 1.94E+07 100.00 165.00 3.33E-01

I (cm4) 0.55fpe/fpu

Diseño por Corte

Pe (kN) α (rad) α (°)

2500 23.71 1358.29 0.75 1747.46

2500 21.07 1207.37 0.95 2195.25

2500 18.44 1056.45 1.12 2590.36

2500 15.80 905.53 1.27 2932.79

2500 13.17 754.61 1.39 3222.54

2500 10.54 603.69 1.49 3459.61

2500 7.90 452.76 1.57 3643.99

2500 5.27 301.84 1.63 3775.70

2500 2.63 150.92 1.67 3854.72

2500 0.00 0.00 1.68 3881.06

2500 -2.63 -150.92 1.67 3854.72

2500 -5.27 -301.84 1.63 3775.70

2500 -7.90 -452.76 1.57 3643.99

2500 -10.54 -603.69 1.49 3459.61

2500 -13.17 -754.61 1.39 3222.54

2500 -15.80 -905.53 1.27 2932.79

2500 -18.44 -1056.45 1.12 2590.36

2500 -21.07 -1207.37 0.95 2195.25

2500 -23.71 -1358.29 0.75 1747.46

fpt (kN-m) M0 (kN-m)

Diseño por Corte

400/d 400/d >=1 100As/bwd

7.55 Ok 1.65

5.31 Ok 1.16

4.21 Ok 0.92

3.56 Ok 0.78

3.16 Ok 0.69

2.89 Ok 0.63

2.71 Ok 0.59

2.59 Ok 0.57

2.53 Ok 0.55

2.51 Ok 0.55

2.53 Ok 0.55

2.59 Ok 0.57

2.71 Ok 0.59

2.89 Ok 0.63

3.16 Ok 0.69

3.56 Ok 0.78

4.21 Ok 0.92

5.31 Ok 1.16

7.55 Ok 1.65

Diseño por Corte

100As/bwd<=3 M0*V/M

Usar toda el área de acero ----- 0.66

Usar toda el área de acero 2066.12 0.32









Usar toda el área de acero -96.37 0.07








Usar toda el área de acero ----- 0.66

Vc (kN)

Diseño por Corte

Vcbwd fcp ft Vco

835.35 0.75 0.23 179.93

587.13 0.75 0.23 179.93

465.17 0.75 0.23 179.93

394.20 0.75 0.23 179.93

349.13 0.75 0.23 179.93

319.27 0.75 0.23 179.93

299.35 0.75 0.23 179.93

286.58 0.75 0.23 179.93

279.43 0.75 0.23 179.93

277.12 0.75 0.23 179.93

279.43 0.75 0.23 179.93

286.58 0.75 0.23 179.93

299.35 0.75 0.23 179.93

319.27 0.75 0.23 179.93

349.13 0.75 0.23 179.93

394.20 0.75 0.23 179.93

465.17 0.75 0.23 179.93

587.13 0.75 0.23 179.93

835.35 0.75 0.23 179.93

Diseño por Corte

Pe*Senα Vc

----- 2254.50 2434.43

223.60 2102.38 2282.31

76.99 1917.51 2097.44

38.15 1702.78 1882.71

22.02 1461.53 1641.46

13.63 1197.51 1377.44

8.54 914.84 1094.77

5.06 617.93 797.86

2.36 311.39 491.32

0.00 0.00 179.93

-2.36 -311.39 -131.46

-5.06 -617.93 -438.00

-8.54 -914.84 -734.91

-13.63 -1197.51 -1017.58

-22.02 -1461.53 -1281.60

-38.15 -1702.78 -1522.85

-76.99 -1917.51 -1737.58

-223.60 -2102.38 -1922.45

----- -2254.50 -2074.57

Vcr (kN)

Diseño por Corte

Vu<0.5Vc

No requiere refuerzo 0.71 50










Usar Asmín por cortante 0.71 50









Asvmin (cm2) fy

(kN/cm2)

Diseño por Corte

S (cm)S (cm)

------- -------

------- -------

------- -------

------- -------

------- -------

------- -------

------- -------

------- -------

------- -------

------- -------

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

6.43 6.50

Documents

Proyecto Preesforzado Luis Pocasangre