Refuerzo vigas

Oí

111 nA. . .A ij

— 6 —

REFUERZOS1 #3*2 #3*1 #41 #52 # 41 #6

1 # 4 + 1 #51 #72 # 5

1 # 5 + 1 #61 #32 # 6

1 # 6 + 1 #72 # 7

1 # 7 + 1 # 82 # 8

BASE

12As

cm2

0,711,421,272,002,542,853,273,884,004,855,105,706,737,768,9810,20

CONCRETO f'e= 210 kg/cm2 ACERO fy =4200 kg/cm2

ALTURA DEL ELEMENTO (h) en cm

MOMENTOS RESISTENTES ton-m

25

0,320,620,951,441,781,962,202,522,58

30

0,320,771,191,822,262,502,823,263,343,894,04

35

0,470,931,432,202,743,043,443,994,094,815,015,48

40

0,551,081,672,573,223,584,054,724,855,735,986,557,48

45

0,631,231,912,953,704,124,675,465,616,646,947,638,759,80

50

0,701,392,153,334,184,655,296,196,367,567,908,7110,0211,2612,63

55

0,781,542,393,714,665,195,916,927,128,488,879,7811,3012,7314,3015,81

60

0,851,692,634,095,145,736,537,667,879,399,8310,8612,5714,1916,0217,74

'Acero: f =2400 kg/cm2

Constru

Oí00

-: ÍÍJ.•/.• :••/.

A./ \ 6 —

IId h

U

REFUERZOS

2 # 41 #44 1 #5

3 # 42 # 5

2 # 4 41 #54

1 #51 #6

2*54 - 1 #42 # 63 # 5

1 # 6 + 1 #72 # 5 4 1 #61 # 5 4 - 2 # 6

2 # 73 # 6

1 # 7 4 - 1 #82 # 6 4 - 1 #7

2 # 81 # 6 n- 2 # 7

BASE

25AS

cm2

2,543 253,813964,524,855,235705,946,736,817,687,768,558,989,5810,2010,61

CONCRETO f'e= 210 kg/cm2 ACERO fy =4200 kg/cm2



25

1,812,282,622,713,073,253,473,733,864,284,324,764,80

30

2 292,903,343,403,924,164,464,814,995,555,616,216,266,807,057,42

35

2,773,524,064,214,785,085,445,896,116,836,907,667,738,408,759,239,7210,03

403,254,144,784,965,646,006,436,967,238,108,189,119,2010,0110,4511,04

_^n,e^_12.03

45

3,734,755,505,716,506,917,428,048,359,379,4710,5610,6611,6312,1412,8513,5714.04

50

4,215,376,226,467,367,838,419,129,4810,6410,7612,0112,1313,2413,8414,6615,5016.05

55

4,695,996,947,218,218,759,3910,2010,6011,9112,0513,4713,6014,8615,5416,4717,4318,05

60

5,176,617,667,959,079,6610,3911,2711,7213,1913,3314,9215,0616,4817,2318,2819,3620,06

en<o

¡liliA. "*A i|

REFUERZOS

BASE

30AS

cm2

2#4 2,543 # 42 # 54 # 42 # 63 # 5

2 # 4 4 - 2 # 52 # 74 # 53 # 6

2 # 5 4 - 2 # 62 # 84 # 63 # 7

2 # 6 + 2 # 73 # 84 # 7

2 # 7 + 2 # 84 # 8

3,813,965,085,705,946,507,767,928,559,6610,1211,4011,6413,4615,1815,5217,8820.24

CONCRETO f'c= 210 kg/cm2 ACERO fy =4200 kg/cm2



25

1,822,672,763,463,833,964,294,975,065,385,92

30

2,303,393,514,424,905,095,526,446,557,007,758,058,858,99

35

2,784,114,265,385,986,216,747,918,058,619,579,9611,0011,1912,58

40

3,264,835,016,337,067,347,979,379,5510,2311,4011,8713,1613,3915,1216,67

45

3,745,555,767,308,148,469,2010,8411,0411,8413,2213,7815,3115,5917,6719,5419,9022,30

50

4,226,276,508,269219,5810,4312,3112,5413,4615,0515,7017,4617,7920,2122,4022,8325,6728.36

554,706,997,259,2210,2910,7011,6613,7714,0415,0816,8717,6119,6219,9922,7525,2725,7629,0532,18

60

5,197,718,0010,1811,3711,8312,8915,2415,5416,6918,7019,5221,7722,1925,3028,1428,7032,4336,01

3 truGció

m]]A. . iA 11~¿ —

REFUERZOS

3 # 44 # 43 # 55 # 4

2 # 4 + 2 # 54 # 53#6

2 # 5 + 2 # 65 # 54 # 63 # 7

2 # 6 + 2 # 75 # 63 # 84 # 7

2 # 7 + 2 # 85 # 74 # 85 # 8

BASE

3bAS

CONCRETO f - 210 kg/cm2 ACERO fy =4200 kg/cm2



cma | 253,815,085,946,356,507,928,559,669,9011,4011,6413,4614,2515,1815,5217,8819,4020,2425,30

2,703,524,044,294,385,195,536,126,24

30

3,424,475,165,495,616,697,157,948,119,129,2810,42

35

4,145,436,296,696,838,188,779,779,9811,2811,4812,9613,5814,2914,54

40

4,866,397,41'7,848,069,6810,3811,5911,8513,4313,6715,5116,2717,1617,4719,5920,88

45

5,587,358,539,099,2911,1812,0013,4213,7215,5915,8818,0518,9720,0220,4122,9724,5525,40

50

6,308,319,6610,2910,5212,6713,6115,2515,5917,7018,0720,5921,6622,8923,3426,3528,2229,2234,90

55

7,029,2710,7811,4911,7514,1715,2317,0717,4719,8920,2823,1424,3525,7626,2729,7331,8833,0539,68

60

7,7410,2311,9012,6912,9815,6716,8518,9019,3422,0522,4825,6827,0528,6329,2133,1135,5536,8744,47

fS

Í - A.

— 6 —

IId ti

H

REFUERZOS3 # 44 # 43 # 55 # 4

2 # 4 + 2 # 56 # 44# 53 $ 6

2 # 5 +5#

2 # 65

4 # 63# 76 # 5

2#6 +5 #3#4#

Continúa

2 # 7687

BASE

40AS




cm2 | | 253,815,085,946,356,507,627,928,559,669,9011,4011,6411,8813,4614,2515,1815,52

2,723,554,104,354,445,125,295,656,276,397,177,297,41

303,444,515,225,555,676,566,797,278,098,279,339,499,6610,7111,2111,7811.99

35

4,165,476,346,756,908,008,288,889,9210,1411,4811,6911,9013,2413,9014,6514,92

40

4,886,437,477,958,139,449,7810,5011,7412,0113,6413,8914,1515,7916,6017,5217,86

45

5,607,398,599,159,3610,8811,2812,1113,5713,8815,7916,0916,3918,3419,2920,3920,79

50

6,328,359,7110,3510,5912,3212,7713,7315,3915,7517,9518,2918,6420,8821,9823,2623,72

55

7,049,3110,8311,5511,8213,7614,2715,3517,2217,6220,1020,4920,8823,4324,6726,1326,05

60

7,7610,2711,9612,7513,0415,2015,7716,9619,0519,4922,2522,6923,1325,9727,3729,0029,59

y6 # 6 17,10 16,14 19,37 22,60 25,84 29,06 32,30

2 # 7 + 2 # 8 17,88 16,72 20,10 23,48 26,86 30,24 33,625 # 7 19,40 17,82 21,48 25.14 28,52 32,48 36,154 # 8 20,24 22,22 26.05 29,87 33,70 37,526#7 23,28 29.17 33,57 37,97 42,375#8 25,30 31,13 35,92 40,70 45,486#8 30,36 47,13 52,87

A H— 6 —

REFUERZOS3 # 44 # 43 # 55 # 4

2 # 4 + 2 # 56 # 44 # 53 # 67 # 4

2 # 5 + 2 # 65 # 54 # 63 # 76 # 5

2 # 6 + 2 # 77 # 55 # 6

BASE

45AS

cm2

3,815,085,946,356,507,627,928,558,899,669,9011,4011,6411,8813,4613,8614,25

CONCRETO f'c= 210 kg/cm2 ACERO f =4200 kg/cm2



25

2,743,594,404,424,505,195,375,745,946,386,527,337,467,598,398,588,77

30

3,464,555,605,625,726,636,867,367,628,218,399,499,669,8310,9311,2011,46

35

4,185,516,806,826,958,078,368,979,3010,0310,2611,6411,8612,0813,4713,8214,15

40

4,906,478,008,028,189,509,8610,5910,9811,8612,1313,8014,0614,3216,0216,4416,85

45

5,627,439,209,229,4110,9511,3612,2112,6613,6814,0015,9516,2616,5718,5619,0619,54

50

6,348,3910,4010,4210,6412,3912,8513,8214,3415,5115,8718,1118,4618,8121,1121,6822,23

55

7,069,3511,6011,6211,8713,8314,3515,4416,0217,3417,7420,2620,6621,0623,6524,3024,93

60

7,7810,3112,8012,8213,1015,2715,8517,0517,7019,1619,6122,4222,8623,3026,1926,9227,62

Continúa I

o instrucción

3 # 84 # 76 # 6

2 # 7 + 2 # 85 # 77#64 # 86 # 75 # 87 # 76 # 87 # 8

7 # 7 + 2 # 8

15,1815,5217,1017,8819,4019,9520,2423,2825,3027,1630,3635,4237,28

12,0712,2813,2713,74

14,9415,2216,5017,1218,2818,6918,90

17,8118,1519,7320,5021,9522,4622,7325,4427,15

20,6721,0922,9723,8825,6126,2326,5529,8431,9333,78

23,5424,02

26,4126,95

26,20 29,4327,2529,2830,0030,3834,2436,7138,9142,53

30,6332,9533,7734,2138,6441,4944,0448,2754,55

29,2829,8932,6634,0136,6137,5438,0343,0446,2749,1854,0161,2461,85

luí!A ""Ai|

— Ú~

REFUERZOS3 # 44 # 43 # 55 # 4

2 # 4 + 2 # 56 # 44 # 53 # 67 # 4

2 # 5 + 2 # 65#54 # 63 # 76 # 5

2 # 6 + 2 # 77 # 55 # 6

BASE

buAS

cm2

3,815,085,946,356,507,627,928,558,899,669,9011,4011,6411,8813,4613,8614,25

CONCRETO f'c=210kg/cm2 ACERO fy =4200 kg/cm!


MOMENTOS RESISTENTES lon-m

25

2,753,614,184,444,545,245,435,816,026,476,617,467,597,738,568,778,97

30

3,474,575,305,645,776,686,937,437,708,308,489,629,799,9711,1111,3911,66

35

4,195,536,426,847,008,128,429,059,3810,1210,3511,7711,9912,2213,6514,0114,35

40

4,916,497,558,048,229,569,9210,6611,0611,9512,2513,9314,1914,4616,1916,6316,05

45

5,637,458,679,249,4511,0111,4212,2812,7413,7814,1016,0816,3916,7118,7419,2519,74

50

6,358,419,7910,4410,6812,4512,9113,8914,4215,6015,9718,2418,5918,9521,2821,8722,43

55

7,079,3710,9111,6411,9113,8914,4115,5116,1017,4317,8420,3920,7921,2023,8324,4924,13

60

7,7910,3312,0412,8413,1415,3315,9117,1317,7819,2519,7122,5422,9923,4426,3727,1127,82

Continúa

truc

3 # 84 # 76 # 6

2 # 7 + 2 # 85 # 77 # 64 # 86 # 75 # 87 # 76 # 87 # 8

7 # 8 + 2 # 7

15,1815,5217,1017,8819,4019,9520,2423,2825,3027,1630,3635,4243,18

9,439,59

12,3012,5213,5614,0514,9915,31

15,1615,4616,7917,4318,6519,0819,3121,58

18,0318,3920,0220,8122,3222,8523,1325,9827,7829,37

20.90 23,7721,32 ! 24,2623,25 26,4924,1925,9926.6226.9630,3832,5634,5137,71

27,5729,6530,4030,7834,7837,7439,6443,4449,09

.

26,6427,1929,7230,9533,3234,1734,6139,1842,1244,7749,1855,79

29,5130,1232,9534,3336,9937,9438,4443,5846,9149,9054,9262,4871,72

unAi|

— b —

BASE

55As

REFUERZOS cm2

4 # 45 # 4

2 # 4 + 2 # 56 # 44 # 57 # 4

2 # 5 + 2 # 65 # 58 # 44 # 66 # 5

2 # 6 + 2 # 77 # 55 # 64 # 78 # 56 # 6

5,086,356,507,627,928,899,669,9010,1611,4011,8813,4613,8614,2515,5215,8417,10




25

3,634,474,575,295,486,086,556,696,857,577,848,718,929,139,799,9510,56

30

4,595,675,806,736,987,768,378,568,779,7210,0911,2511,5411,8212,7212,9413,80

35

5,556,877,038,178,479,4410,2010,4310,6911,8812,3313,8014,1614,5215,6515,9317,03

40

6,518,088,269,619,9711,1212,0312,3112,6114,0314,5816,3416,7817,2118,5918,9320,26

45

7,479,289,4911,0511,4712,8013,8514,1814,5316,1916,8218,8919,4019,9021,5221,9223,49

50

8,4310,4810,7112,4912,9614,4815,6816,0516,4518,3419,0721,4322,0222,6024,4524,9226,72

55

9,3911,6811,9413,9314,4616,1617,5017,9218,3720,5021,3123,9724,6425,2927,3927,9129,95

60

10,3512,8813,1715,3715,9617,8419,3319,7920,2922,6523,5626,5227,2627,9830,3230,9033,19

Continúa

2 # 7 + 2 # 85 # 77 # 64 # 88 # 66 # 75 # 89 # 67 # 76 # 88 # 79 # 7

.7*88 # 89 # 8

9 # 8 + 2 # 7

17,8819,4019,9520,8422,8023,2825,3025,6527,1630,3631,0434,9435,4240,4845,5453,30

11,15 14,5315,5415,9016,8417,6917,98

17,9119,2119,6720,4122,0022,3823,9524,2125,33

21,2922,8823,4424,3526,3126,7828,7329,0630,4733,3333,92_,

24,6726,5427,2128,2930,6231,1833,5133,9135,6039,0739,7943,7644,26

28,04 : 31,4230,21 33,8830,99 ; 34,7532,23 36,1734,93 39,2435,98 ! 39,9838,2938,7540,7344,8145,6650,3650,9556,71

43,0743,6045,8650,5551,5356,9657,6564,3670,70

34,8037,5438,5340,1143,5544,3847,8548,4551,0056,2957,3963,5664,3472,0179,3188,28

J*% • * • • '" « r • ' •• " 'Construcción

¡II í I

Aí|— &—REFUERZOS

4 # 45 # 4

2 # 4 + 2 # 56 # 44 # 57 # 4

2 # 2 + 2 # 65 #58 # 44 # 66 # 5

2#6 + 2#77 # 55 # 64 # 78 # 56 # 6

BASE

60AS

cm2

5,086,356,507,627,928,899,669,9010,1611,4011,8813,4613,8614,2515,5215,8417,10

CONCRETO f'c= 210 kg/cm2 ACERO f =4200 kg/cm2



25

3,654,504,605,335,526,146,616,766,927,667,948,839,059,279,9510,1110,76

30

4,615,705,836,777,027,828,448,638,849,8110,1811,3811,6711,9612,8813,1113,99

35

5,576,907,068,218,529,5010,2610,5010,7611,9612,4313,9214,2914,6515,8116,1017,22

40

6,538,108,299,6510,0111,1812,0912,3712,6814,1214,6716,4616,9117,3518,7519,1020,46-

45

7,499,309,5111,0911,5112,8613,9114,2414,6016,2716,9219,0119,5320,0421,6822,0923,69

50

8,4510,5010,7412,5313,0114,5415,7416,1116,5218,4319,1621,5522,1522,7324,6125,0826,92

55

9,4111,7011,9713,9714,5016,2217,5617,9818,4420,5821,4124,1024,7725,4327,5528,0830,15

6010,3712,9013,2015,4116,0017,9019,3919,8620,3622,7423,6526,6427,3928,1230,4831,0733,38

Continúa

2 # 7 + 2 # 85 # 77 # 64 # 88 # 66 # 75 # 89 # 67 # 76 # 88 # 79#77 # 88 # 89 # 8

9 # 8 + 2 # 7

17,8819,4019,9520,8422,8023,2825,3025,6527,1630,3631,0434,9435,4240,4845,5453,30

11,15 14,5315,5415,9016,8417,6917,98

17,9119,2119,6720,4122,0022,3823,9524,2125,33

21,2922,8823,4424,3526,31

24,6726,54

28,0430,21

27,21 30,9928,2930,62

26,78 í 31,1828,7329,0630,4733,3333,92

33,5133,9135,6039,0739,7943,7644,26

32,2334,9335,9838,2938,7540,7344,8145,6650,3650,9556,71

31,4233,8834,7536,1739,2439,9843,0743,6045,8650,5551,5356,9657,6564,3670,70

34,8037,5438,5340,1143,5544,3847,8548,4551,0056,2957,3963,5664,3472,0179,3188,28

--x

•ÉMMIM

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