ayudas de diseno.pdf

7/25/2019 ayudas de diseno.pdf

1/18

180 210 250 280 350 420 490 560

13 0.005000 0.005000 0.005000 0.005000

1 4 0 .0 05 25 2 0 .0 05 21 3 0 .0 05 17 7 0 .0 05 15 6 0.005345

1 5 0 .0 05 64 9 0 .0 05 60 3 0 .0 05 56 1 0 .0 05 53 8 0 .0 05 49 9

1 6 0 .0 06 04 9 0 .0 05 99 6 0 .0 05 94 7 0 .0 05 92 0 0 .0 05 87 7 0.005855

1 7 0 .0 06 45 2 0 .0 06 39 2 0 .0 06 33 6 0 .0 06 30 5 0 .0 06 25 6 0 .0 06 22 3 0.006325

1 8 0 .0 06 85 9 0 .0 06 79 0 0 .0 06 72 7 0 .0 06 69 2 0 .0 06 63 6 0 .0 06 59 9 0 .0 06 57 4 0.006761

1 9 0 .0 0 72 6 9 0 .0 0 71 9 1 0 .0 07 1 20 0 .0 07 0 81 0 .0 0 70 1 7 0 .0 0 69 7 7 0 .0 0 69 4 8 0 .0 0 69 2 7

2 0 0 .0 0 76 8 3 0 .0 0 75 9 5 0 .0 07 5 15 0 .0 07 4 71 0 .0 0 74 0 1 0 .0 0 73 5 5 0 .0 0 73 2 3 0 .0 0 73 0 0

2 1 0 .0 0 81 0 0 0 .0 0 80 0 2 0 .0 07 9 12 0 .0 07 8 64 0 .0 0 77 8 5 0 .0 0 77 3 5 0 .0 0 76 9 9 0 .0 0 76 7 3

2 2 0 .0 0 85 2 2 0 .0 0 84 1 2 0 .0 08 3 12 0 .0 08 2 58 0 .0 0 81 7 1 0 .0 0 81 1 5 0 .0 0 80 7 6 0 .0 0 80 4 8

2 3 0 .0 0 89 4 7 0 .0 0 88 2 5 0 .0 08 7 15 0 .0 08 6 55 0 .0 0 85 5 9 0 .0 0 84 9 7 0 .0 0 84 5 5 0 .0 0 84 2 3

2 4 0 .0 0 93 7 6 0 .0 0 92 4 1 0 .0 09 1 19 0 .0 09 0 54 0 .0 0 89 4 8 0 .0 0 88 8 1 0 .0 0 88 3 4 0 .0 0 87 9 92 5 0 .0 0 98 0 9 0 .0 0 96 6 1 0 .0 09 5 26 0 .0 09 4 54 0 .0 0 93 3 9 0 .0 0 92 6 5 0 .0 0 92 1 4 0 .0 0 91 7 6

2 6 0 .0 1 02 4 6 0 .0 1 00 8 3 0 .0 09 9 36 0 .0 09 8 57 0 .0 0 97 3 1 0 .0 0 96 5 1 0 .0 0 95 9 5 0 .0 0 95 5 4

2 7 0 .0 1 06 8 8 0 .0 1 05 0 9 0 .0 10 3 48 0 .0 10 2 62 0 .0 1 01 2 5 0 .0 1 00 3 8 0 .0 0 99 7 7 0 .0 0 99 3 3

2 8 0 .0 1 11 3 4 0 .0 1 09 3 8 0 .0 10 7 63 0 .0 10 6 70 0 .0 1 05 2 1 0 .0 1 04 2 6 0 .0 1 03 6 1 0 .0 1 03 1 3

2 9 0 .0 1 15 8 5 0 .0 1 13 7 1 0 .0 11 1 81 0 .0 11 0 79 0 .0 1 09 1 8 0 .0 1 08 1 6 0 .0 1 07 4 5 0 .0 1 06 9 3

3 0 0 .0 1 20 4 1 0 .0 1 18 0 8 0 .0 11 6 01 0 .0 11 4 91 0 .0 1 13 1 7 0 .0 1 12 0 7 0 .0 1 11 3 1 0 .0 1 10 7 5

3 1 0 .0 1 25 0 2 0 .0 1 22 4 8 0 .0 12 0 24 0 .0 11 9 05 0 .0 1 17 1 8 0 .0 1 15 9 9 0 .0 1 15 1 7 0 .0 1 14 5 8

3 2 0 .0 1 29 6 7 0 .0 1 26 9 2 0 .0 12 4 50 0 .0 12 3 22 0 .0 1 21 2 0 0 .0 1 19 9 3 0 .0 1 19 0 5 0 .0 1 18 4 1

3 3 0 .0 1 34 3 8 0 .0 1 31 4 0 0 .0 12 8 78 0 .0 12 7 41 0 .0 1 25 2 4 0 .0 1 23 8 7 0 .0 1 22 9 4 0 .0 1 22 2 5

3 4 0 .0 1 39 1 4 0 .0 1 35 9 2 0 .0 13 3 10 0 .0 13 1 62 0 .0 1 29 3 0 0 .0 1 27 8 4 0 .0 1 26 8 4 0 .0 1 26 1 1

3 5 0 .0 1 43 9 6 0 .0 1 40 4 8 0 .0 13 7 45 0 .0 13 5 86 0 .0 1 33 3 7 0 .0 1 31 8 1 0 .0 1 30 7 5 0 .0 1 29 9 7

3 6 0 .0 1 48 8 4 0 .0 1 45 0 8 0 .0 14 1 82 0 .0 14 0 12 0 .0 1 37 4 6 0 .0 1 35 8 0 0 .0 1 34 6 7 0 .0 1 33 8 4

3 7 0 .0 1 53 7 8 0 .0 1 49 7 3 0 .0 14 6 23 0 .0 14 4 41 0 .0 1 41 5 8 0 .0 1 39 8 1 0 .0 1 38 6 0 0 .0 1 37 7 2

3 8 0 .0 1 58 7 8 0 .0 1 54 4 2 0 .0 15 0 67 0 .0 14 8 73 0 .0 1 45 7 0 0 .0 1 43 8 3 0 .0 1 42 5 4 0 .0 1 41 6 1

3 9 0 .0 1 63 8 5 0 .0 1 59 1 5 0 .0 15 5 14 0 .0 15 3 07 0 .0 1 49 8 5 0 .0 1 47 8 6 0 .0 1 46 5 0 0 .0 1 45 5 1

4 0 0 .0 1 68 9 9 0 .0 1 63 9 4 0 .0 15 9 65 0 .0 15 7 44 0 .0 1 54 0 2 0 .0 1 51 9 1 0 .0 1 50 4 7 0 .0 1 49 4 2

41 0.017417 0 .0 1 6 87 7 0 .0 1 6 41 9 0 .0 1 6 18 3 0 .0 1 5 82 1 0 .0 1 5 59 7 0 .0 1 5 44 5 0 .0 1 5 33 4

42 0.017365 0.016876 0.016626 0.016241 0.016004 0.015844 0.015728

43 0.017859 0.017337 0.017071 0.016664 0.016414 0.016244 0.016122

44 0.018357 0.017802 0.017520 0.017088 0.016824 0.016646 0.016517

45 0.018862 0.018271 0.017971 0.017515 0.017237 0.017048 0.016913

46 0.019372 0.018743 0.018426 0.017944 0.017650 0.017452 0.017310

47 0.019888 0.019219 0.018883 0.018375 0.018066 0.017858 0.017708

48 0.020320 0 .0 1 9 70 0 0 .0 1 9 34 4 0 .0 1 8 80 7 0 .0 1 8 48 2 0 .0 1 8 26 4 0 .0 1 8 10 7

49 0.020184 0.019808 0.019242 0.018901 0.018672 0.018507

50 0.020673 0.020275 0.019680 0.019321 0.019081 0.018909

51 0.021166 0.020746 0.020119 0.019743 0.019491 0.019311

52 0.021663 0.021220 0.020561 0.020166 0.019903 0.019715

53 0.022165 0.021698 0.021005 0.020591 0.020316 0.020119

54 0.022672 0.022179 0.021451 0.021018 0.020730 0.020525

55 0.023184 0.022665 0.021900 0.021447 0.021146 0.020931

56 0.023701 0.023153 0.022351 0.021877 0.021563 0.021339

57 0.024191 0 .0 2 3 64 6 0 .0 2 2 80 4 0 .0 2 2 30 9 0 .0 2 1 98 1 0 .0 2 1 74 8

58 0.024143 0.023260 0.022743 0.022401 0.022158

59 0.024644 0.023719 0.023178 0.022822 0.022570

60 0.025149 0.024180 0.023616 0.023245 0.022982

61 0.025658 0.024644 0.024055 0.023669 0.023396

62 0.026172 0.025110 0.024496 0.024094 0.023810

63 0.026690 0.025579 0.024939 0.024521 0.024226

64 0.027094 0 .0 2 6 05 1 0 .0 2 5 38 4 0 .0 2 4 95 0 0 .0 2 4 64 3

65 0.026525 0.025831 0.025379 0.025062

66 0.027003 0.026280 0.025811 0.025481

67 0.027483 0.026731 0.026244 0.025902

68 0.027966 0.027184 0.026678 0.026324

69 0.028452 0.027638 0.027114 0.026747

70 0.028942 0.028096 0.027552 0.027171

71 0.029434 0.028555 0.027991 0.027597

72 0.029930 0.029016 0.028431 0.028024

73 0.030429 0.029479 0.028874 0.028452

74 0.030931 0.029945 0.029318 0.028882

75 0.031436 0.030413 0.029763 0.029313

76 0.031875 0 .0 3 0 88 3 0 .0 3 0 21 1 0 .0 2 9 74 5

77 0.031356 0.030660 0.030179

78 0.031830 0.031110 0.030614

79 0.032308 0.031563 0.031050

80 0.032787 0.032017 0.031487

81 0.033269 0.032473 0.031927

82 0.033754 0.032931 0.032367

83 0.034241 0.033391 0.032809

84 0.034730 0.033852 0.033252

85 0.035222 0.034315 0.033697

86 0.035717 0.034780 0.034143

87 0.035859 0.035248 0.034591

88 0.035717 0.035040

89 0.036188 0.035490

90 0.036660 0.035942

91 0.037135 0.036396

92 0.037612 0.036851

93 0.038091 0.037308

94 0.038573 0.037766

95 0.039047 0.03822696 0.038688

97 0.039151

98 0.039616

99 0.040082

100 0.040551

101 0.041020

102 0.041438

b 0.03188 0.0372 0.04428 0.04959 0.05835 0.06564 0.07148 0.07585

f'c [kg/cm2] fy=2800 kg/cm2Rn


2/18

180 210 250 280 350 420 490 560

13 0.003333 0.003333 0.003333 0.003333

1 4 0 .0 03 50 2 0 .0 03 47 5 0 .0 03 45 1 0 .0 03 43 8 0.003563

1 5 0 .0 03 76 6 0 .0 03 73 6 0 .0 03 70 7 0 .0 03 69 2 0 .0 03 66 6

1 6 0 .0 04 03 3 0 .0 03 99 8 0 .0 03 96 5 0 .0 03 94 7 0 .0 03 91 8 0.003904

1 7 0 .0 04 30 2 0 .0 04 26 1 0 .0 04 22 4 0 .0 04 20 4 0 .0 04 17 0 0 .0 04 14 9 0.004216

1 8 0 .0 04 57 3 0 .0 04 52 7 0 .0 04 48 4 0 .0 04 46 1 0 .0 04 42 4 0 .0 04 40 0 0 .0 04 38 3 0.004507

1 9 0 .0 0 48 4 6 0 .0 0 47 9 4 0 .0 0 47 4 6 0 .0 0 47 2 0 0 .0 0 46 7 8 0 .0 0 46 5 1 0 .0 0 46 3 2 0 .0 0 46 1 8

2 0 0 .0 0 51 2 2 0 .0 0 50 6 4 0 .0 0 50 1 0 0 .0 0 49 8 1 0 .0 0 49 3 4 0 .0 0 49 0 3 0 .0 0 48 8 2 0 .0 0 48 6 6

2 1 0 .0 0 54 0 0 0 .0 0 53 3 5 0 .0 0 52 7 5 0 .0 0 52 4 3 0 .0 0 51 9 0 0 .0 0 51 5 6 0 .0 0 51 3 3 0 .0 0 51 1 5

2 2 0 .0 0 56 8 1 0 .0 0 56 0 8 0 .0 0 55 4 2 0 .0 0 55 0 6 0 .0 0 54 4 8 0 .0 0 54 1 0 0 .0 0 53 8 4 0 .0 0 53 6 5

2 3 0 .0 0 59 6 4 0 .0 0 58 8 3 0 .0 0 58 1 0 0 .0 0 57 7 0 0 .0 0 57 0 6 0 .0 0 56 6 5 0 .0 0 56 3 6 0 .0 0 56 1 5

2 4 0 .0 0 62 5 1 0 .0 0 61 6 1 0 .0 0 60 8 0 0 .0 0 60 3 6 0 .0 0 59 6 5 0 .0 0 59 2 0 0 .0 0 58 8 9 0 .0 0 58 6 6

2 5 0 .0 0 65 3 9 0 .0 0 64 4 0 0 .0 0 63 5 1 0 .0 0 63 0 3 0 .0 0 62 2 6 0 .0 0 61 7 7 0 .0 0 61 4 3 0 .0 0 61 1 7

2 6 0 .0 0 68 3 1 0 .0 0 67 2 2 0 .0 0 66 2 4 0 .0 0 65 7 2 0 .0 0 64 8 8 0 .0 0 64 3 4 0 .0 0 63 9 7 0 .0 0 63 6 9

2 7 0 .0 0 71 2 5 0 .0 0 70 0 6 0 .0 0 68 9 9 0 .0 0 68 4 2 0 .0 0 67 5 0 0 .0 0 66 9 2 0 .0 0 66 5 2 0 .0 0 66 2 2

2 8 0 .0 0 74 2 3 0 .0 0 72 9 2 0 .0 0 71 7 5 0 .0 0 71 1 3 0 .0 0 70 1 4 0 .0 0 69 5 1 0 .0 0 69 0 7 0 .0 0 68 7 5

2 9 0 .0 0 77 2 4 0 .0 0 75 8 1 0 .0 0 74 5 4 0 .0 0 73 8 6 0 .0 0 72 7 9 0 .0 0 72 1 1 0 .0 0 71 6 3 0 .0 0 71 2 9

3 0 0 .0 0 80 2 7 0 .0 0 78 7 2 0 .0 0 77 3 4 0 .0 0 76 6 1 0 .0 0 75 4 5 0 .0 0 74 7 1 0 .0 0 74 2 0 0 .0 0 73 8 3

3 1 0 .0 0 83 3 4 0 .0 0 81 6 5 0 .0 0 80 1 6 0 .0 0 79 3 7 0 .0 0 78 1 2 0 .0 0 77 3 3 0 .0 0 76 7 8 0 .0 0 76 3 8

3 2 0 .0 0 86 4 5 0 .0 0 84 6 1 0 .0 0 83 0 0 0 .0 0 82 1 4 0 .0 0 80 8 0 0 .0 0 79 9 5 0 .0 0 79 3 7 0 .0 0 78 9 4

3 3 0 .0 0 89 5 9 0 .0 0 87 6 0 0 .0 0 85 8 6 0 .0 0 84 9 4 0 .0 0 83 4 9 0 .0 0 82 5 8 0 .0 0 81 9 6 0 .0 0 81 5 0

3 4 0 .0 0 92 7 6 0 .0 0 90 6 1 0 .0 0 88 7 3 0 .0 0 87 7 5 0 .0 0 86 2 0 0 .0 0 85 2 2 0 .0 0 84 5 6 0 .0 0 84 0 7

3 5 0 .0 0 95 9 8 0 .0 0 93 6 5 0 .0 0 91 6 3 0 .0 0 90 5 7 0 .0 0 88 9 1 0 .0 0 87 8 8 0 .0 0 87 1 6 0 .0 0 86 6 5

3 6 0 .0 0 99 2 3 0 .0 0 96 7 2 0 .0 0 94 5 5 0 .0 0 93 4 1 0 .0 0 91 6 4 0 .0 0 90 5 4 0 .0 0 89 7 8 0 .0 0 89 2 3

3 7 0 .0 1 02 5 2 0 .0 0 99 8 2 0 .0 0 97 4 9 0 .0 0 96 2 7 0 .0 0 94 3 8 0 .0 0 93 2 1 0 .0 0 92 4 0 0 .0 0 91 8 1

3 8 0 .0 1 05 8 6 0 .0 1 02 9 4 0 .0 1 00 4 5 0 .0 0 99 1 5 0 .0 0 97 1 4 0 .0 0 95 8 8 0 .0 0 95 0 3 0 .0 0 94 4 1

3 9 0 .0 1 09 2 3 0 .0 1 06 1 0 0 .0 1 03 4 3 0 .0 1 02 0 5 0 .0 0 99 9 0 0 .0 0 98 5 7 0 .0 0 97 6 7 0 .0 0 97 0 1

4 0 0 .0 1 12 6 6 0 .0 1 09 2 9 0 .0 1 06 4 3 0 .0 1 04 9 6 0 .0 1 02 6 8 0 .0 1 01 2 7 0 .0 1 00 3 1 0 .0 0 99 6 2

41 0.011612 0 .0 1 1 25 1 0 .0 1 0 94 6 0 .0 1 0 78 9 0 .0 1 0 54 7 0 .0 1 0 39 8 0 .0 1 0 29 6 0 .0 1 0 22 3

42 0.011577 0.011251 0.011084 0.010828 0.010670 0.010563 0.01048543 0.011906 0.011558 0.011381 0.011109 0.010942 0.010829 0.010748

44 0.012238 0.011868 0.011680 0.011392 0.011216 0.011097 0.011011

45 0.012574 0.012180 0.011981 0.011677 0.011491 0.011366 0.011275

46 0.012915 0.012495 0.012284 0.011963 0.011767 0.011635 0.011540

47 0.013259 0.012813 0.012589 0.012250 0.012044 0.011905 0.011805

48 0.013547 0 .0 1 3 13 3 0 .0 1 2 89 6 0 .0 1 2 53 8 0 .0 1 2 32 2 0 .0 1 2 17 6 0 .0 1 2 07 1

49 0.013456 0.013205 0.012828 0.012601 0.012448 0.012338

50 0.013782 0.013517 0.013120 0.012881 0.012721 0.012606

51 0.014110 0.013831 0.013413 0.013162 0.012994 0.012874

52 0.014442 0.014147 0.013707 0.013444 0.013269 0.013143

53 0.014777 0.014465 0.014003 0.013728 0.013544 0.013413

54 0.015115 0.014786 0.014301 0.014012 0.013820 0.013683

55 0.015456 0.015110 0.014600 0.014298 0.014097 0.013954

56 0.015801 0.015436 0.014901 0.014585 0.014375 0.014226

57 0.016127 0 .0 1 5 76 4 0 .0 1 5 20 3 0 .0 1 4 87 3 0 .0 1 4 65 4 0 .0 1 4 49 9

58 0.016095 0.015507 0.015162 0.014934 0.014772

59 0.016429 0.015813 0.015452 0.015215 0.015046

60 0.016766 0.016120 0.015744 0.015497 0.015321

61 0.017106 0.016429 0.016037 0.015779 0.015597

62 0.017448 0.016740 0.016331 0.016063 0.015874

63 0.017794 0.017053 0.016626 0.016347 0.016151

64 0.018063 0 .0 1 7 36 7 0 .0 1 6 92 3 0 .0 1 6 63 3 0 .0 1 6 42 9

65 0.017684 0.017221 0.016920 0.016708

66 0.018002 0.017520 0.017207 0.016987

67 0.018322 0.017820 0.017496 0.017268

68 0.018644 0.018122 0.017785 0.017549

69 0.018968 0.018426 0.018076 0.017831

70 0.019295 0.018730 0.018368 0.018114

71 0.019623 0.019036 0.018660 0.018398

72 0.019953 0.019344 0.018954 0.018683

73 0.020286 0.019653 0.019249 0.018968

74 0.020620 0.019963 0.019545 0.019255

75 0.020957 0.020275 0.019842 0.019542

76 0.021250 0 .0 2 0 58 9 0 .0 2 0 14 0 0 .0 1 9 83 0

77 0.020904 0.020440 0.020119

78 0.021220 0.020740 0.020409

79 0.021538 0.021042 0.020700

80 0.021858 0.021345 0.020992

81 0.022179 0.021649 0.021284

82 0.022502 0.021954 0.021578

83 0.022827 0.022260 0.021873

84 0.023153 0.022568 0.022168

85 0.023482 0.022877 0.022465

86 0.023811 0.023187 0.022762

87 0.023906 0.023498 0.023060

88 0.023811 0.023360

89 0.024125 0.023660

90 0.024440 0.023962

91 0.024757 0.024264

92 0.025075 0.024568

93 0.025394 0.024872

94 0.025715 0.025178

95 0.026031 0.025484

96 0.025792

97 0.026101

98 0.026411

99 0.026722

100 0.027034

101 0.027347

102 0.027625

b 0.01837 0.02144 0.02552 0.02858 0.03363 0.03783 0.04119 0.04371

Rnf'c [kg/cm2] fy=4200 kg/cm2


3/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 114 76 57 45 38 32 28 25 23

0.70 114 76 57 45 38 32 28 25 23

0.80 110 73 55 44 37 31 27 24 22

0.90 80 53 40 32 27 23 20 18 16

1.00 63 42 32 25 21 18 16 14 13

1.10 52 35 26 21 17 15 13 12 10

1.20 44 29 22 18 15 13 11 10 9

1.30 38 26 19 15 13 11 10 9 8

1.40 34 23 17 14 11 10 9 8 7

1.50 31 20 15 12 10 9 8 7 6

1.60 28 18 14 11 9 8 7 6 6

1.63 27 18 13 11 9 8 7 6 5

1.70 25 17 13 10 8 7 6 6 5

1.80 23 16 12 9 8 7 6 5 5

1.90 22 14 11 9 7 6 5 5 4

2.00 20 13 10 8 7 6 5 4 4

2.10 19 13 9 8 6 5 5 4 4

2.20 18 12 9 7 6 5 4 4 4

2.30 17 11 8 7 6 5 4 4 3

2.40 16 11 8 6 5 5 4 4 3

2.50 15 10 8 6 5 4 4 3 3

2.60 14 10 7 6 5 4 4 3 3

2.70 14 9 7 5 5 4 3 3 3

2.73 13 9 7 5 4 4 3 3 3

Smax 114 76 57 45 38 32 28 25 23 Smax

SEPARACION S [cm]

bw [cm] f'c=180 kg/cm2 fy=2800 kg/cm2

d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 114 76 57 45 38 32 28 25 23

0.70 114 76 57 45 38 32 28 25 23

0.80 102 68 51 44 34 29 25 23 20

0.90 74 49 37 32 25 21 19 16 15

1.00 58 39 29 25 19 17 15 13 12

1.10 48 32 24 21 16 14 12 11 10

1.20 41 27 20 18 14 12 10 9 8

1.30 36 24 18 15 12 10 9 8 7

1.40 32 21 16 14 11 9 8 7 6

1.50 28 19 14 12 9 8 7 6 6

1.60 26 17 13 11 9 7 6 6 5

1.63 25 17 12 11 8 7 6 6 5

1.70 23 16 12 10 8 7 6 5 5

1.80 22 14 11 9 7 6 5 5 4

1.90 20 13 10 9 7 6 5 4 4

2.00 19 12 9 8 6 5 5 4 4

2.10 17 12 9 8 6 5 4 4 3

2.20 16 11 8 7 5 5 4 4 3

2.30 16 10 8 7 5 4 4 3 3

2.40 15 10 7 6 5 4 4 3 3

2.50 14 9 7 6 5 4 3 3 3

2.60 13 9 7 6 4 4 3 3 3

2.70 13 8 6 5 4 4 3 3 3

2.73 12 8 6 5 4 4 3 3 2

Smax 114 76 57 45 38 32 28 25 23 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


4/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 114 76 57 45 38 32 28 25 23

0.70 114 76 57 45 38 32 28 25 23

0.80 93 62 47 44 31 27 23 21 19

0.90 68 45 34 32 23 19 17 15 14

1.00 54 36 27 25 18 15 13 12 11

1.10 44 29 22 21 15 13 11 10 9

1.20 38 25 19 18 13 11 9 8 8

1.30 33 22 16 15 11 9 8 7 7

1.40 29 19 14 14 10 8 7 6 6

1.50 26 17 13 12 9 7 6 6 5

1.60 24 16 12 11 8 7 6 5 5

1.63 23 15 11 11 8 7 6 5 5

1.70 21 14 11 10 7 6 5 5 4

1.80 20 13 10 9 7 6 5 4 4

1.90 18 12 9 9 6 5 5 4 4

2.00 17 11 9 8 6 5 4 4 3

2.10 16 11 8 8 5 5 4 4 3

2.20 15 10 8 7 5 4 4 3 3

2.30 14 9 7 7 5 4 4 3 3

2.40 13 9 7 6 4 4 3 3 3

2.50 13 9 6 6 4 4 3 3 3

2.60 12 8 6 6 4 3 3 3 2

2.70 12 8 6 5 4 3 3 3 2

2.73 11 8 6 5 4 3 3 3 2

Smax 114 76 57 45 38 32 28 25 23 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 114 76 57 45 38 32 28 25 23

0.70 114 76 57 45 38 32 28 25 23

0.80 88 59 44 44 29 25 22 20 18

0.90 64 43 32 32 21 18 16 14 13

1.00 51 34 25 25 17 14 13 11 10

1.10 42 28 21 21 14 12 10 9 8

1.20 35 24 18 18 12 10 9 8 7

1.30 31 21 15 15 10 9 8 7 6

1.40 27 18 14 14 9 8 7 6 5

1.50 24 16 12 12 8 7 6 5 5

1.60 22 15 11 11 7 6 6 5 4

1.63 22 14 11 11 7 6 5 5 4

1.70 20 14 10 10 7 6 5 5 4

1.80 19 12 9 9 6 5 5 4 4

1.90 17 12 9 9 6 5 4 4 3

2.00 16 11 8 8 5 5 4 4 3

2.10 15 10 8 8 5 4 4 3 3

2.20 14 9 7 7 5 4 4 3 3

2.30 13 9 7 7 4 4 3 3 3

2.40 13 8 6 6 4 4 3 3 3

2.50 12 8 6 6 4 3 3 3 2

2.60 11 8 6 6 4 3 3 3 2

2.70 11 7 5 5 4 3 3 2 2

2.73 11 7 5 5 4 3 3 2 2

Smax 114 76 57 45 38 32 28 25 23 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


5/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 106 71 53 43 35 30 27 24 21

0.70 106 71 53 43 35 30 27 24 21

0.80 79 52 39 43 26 22 20 17 16

0.90 57 38 29 32 19 16 14 13 11

1.00 45 30 23 25 15 13 11 10 9

1.10 37 25 19 21 12 11 9 8 7

1.20 32 21 16 18 11 9 8 7 6

1.30 28 18 14 15 9 8 7 6 6

1.40 24 16 12 14 8 7 6 5 5

1.50 22 15 11 12 7 6 5 5 4

1.60 20 13 10 11 7 6 5 4 4

1.63 19 13 10 11 6 6 5 4 4

1.70 18 12 9 10 6 5 5 4 4

1.80 17 11 8 9 6 5 4 4 3

1.90 16 10 8 9 5 4 4 3 3

2.00 14 10 7 8 5 4 4 3 3

2.10 14 9 7 8 5 4 3 3 3

2.20 13 8 6 7 4 4 3 3 3

2.30 12 8 6 7 4 3 3 3 2

2.40 11 8 6 6 4 3 3 3 2

2.50 11 7 5 6 4 3 3 2 2

2.60 10 7 5 6 3 3 3 2 2

2.70 10 7 5 5 3 3 2 2 2

2.73 10 6 5 5 3 3 2 2 2

Smax 106 71 53 43 35 30 27 24 21 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 97 65 49 39 32 28 24 22 19

0.70 97 65 49 39 32 28 24 22 19

0.80 72 48 36 39 24 21 18 16 14

0.90 52 35 26 32 17 15 13 12 10

1.00 41 28 21 25 14 12 10 9 8

1.10 34 23 17 21 11 10 9 8 7

1.20 29 19 14 18 10 8 7 6 6

1.30 25 17 13 15 8 7 6 6 5

1.40 22 15 11 14 7 6 6 5 4

1.50 20 13 10 12 7 6 5 4 4

1.60 18 12 9 11 6 5 5 4 4

1.63 18 12 9 11 6 5 4 4 4

1.70 17 11 8 10 6 5 4 4 3

1.80 15 10 8 9 5 4 4 3 3

1.90 14 9 7 9 5 4 4 3 3

2.00 13 9 7 8 4 4 3 3 3

2.10 12 8 6 8 4 4 3 3 2

2.20 12 8 6 7 4 3 3 3 2

2.30 11 7 5 7 4 3 3 2 2

2.40 10 7 5 6 3 3 3 2 2

2.50 10 7 5 6 3 3 2 2 2

2.60 9 6 5 6 3 3 2 2 2

2.70 9 6 4 5 3 3 2 2 2

2.73 9 6 4 5 3 3 2 2 2

Smax 97 65 49 39 32 28 24 22 19 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


6/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 90 60 45 36 30 26 22 20 18

0.70 90 60 45 36 30 26 22 20 18

0.80 67 44 33 36 22 19 17 15 13

0.90 49 32 24 32 16 14 12 11 10

1.00 38 25 19 25 13 11 10 8 8

1.10 32 21 16 21 11 9 8 7 6

1.20 27 18 13 18 9 8 7 6 5

1.30 23 16 12 15 8 7 6 5 5

1.40 21 14 10 14 7 6 5 5 4

1.50 19 12 9 12 6 5 5 4 4

1.60 17 11 8 11 6 5 4 4 3

1.63 16 11 8 11 5 5 4 4 3

1.70 15 10 8 10 5 4 4 3 3

1.80 14 9 7 9 5 4 4 3 3

1.90 13 9 7 9 4 4 3 3 3

2.00 12 8 6 8 4 3 3 3 2

2.10 11 8 6 8 4 3 3 3 2

2.20 11 7 5 7 4 3 3 2 2

2.30 10 7 5 7 3 3 3 2 2

2.40 10 6 5 6 3 3 2 2 2

2.50 9 6 5 6 3 3 2 2 2

2.60 9 6 4 6 3 2 2 2 2

2.70 8 6 4 5 3 2 2 2 2

2.73 8 5 4 5 3 2 2 2 2

Smax 90 60 45 36 30 26 22 20 18 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 84 56 42 34 28 24 21 19 17

0.70 84 56 42 34 28 24 21 19 17

0.80 62 41 31 34 21 18 16 14 12

0.90 45 30 23 32 15 13 11 10 9

1.00 36 24 18 25 12 10 9 8 7

1.10 29 20 15 21 10 8 7 7 6

1.20 25 17 13 18 8 7 6 6 5

1.30 22 15 11 15 7 6 5 5 4

1.40 19 13 10 14 6 6 5 4 4

1.50 17 12 9 12 6 5 4 4 3

1.60 16 10 8 11 5 4 4 3 3

1.63 15 10 8 11 5 4 4 3 3

1.70 14 10 7 10 5 4 4 3 3

1.80 13 9 7 9 4 4 3 3 3

1.90 12 8 6 9 4 4 3 3 2

2.00 11 8 6 8 4 3 3 3 2

2.10 11 7 5 8 4 3 3 2 2

2.20 10 7 5 7 3 3 3 2 2

2.30 9 6 5 7 3 3 2 2 2

2.40 9 6 4 6 3 3 2 2 2

2.50 9 6 4 6 3 2 2 2 2

2.60 8 5 4 6 3 2 2 2 2

2.70 8 5 4 5 3 2 2 2 2

2.73 8 5 4 5 3 2 2 2 2

Smax 84 56 42 34 28 24 21 19 17 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


7/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 170 114 85 68 57 49 43 38 34

0.70 170 114 85 68 57 49 43 38 34

0.80 165 110 82 44 55 47 41 37 33

0.90 120 80 60 32 40 34 30 27 24

1.00 95 63 47 25 32 27 24 21 19

1.10 78 52 39 21 26 22 19 17 16

1.20 66 44 33 18 22 19 17 15 13

1.30 58 38 29 15 19 16 14 13 12

1.40 51 34 26 14 17 15 13 11 10

1.50 46 31 23 12 15 13 11 10 9

1.60 42 28 21 11 14 12 10 9 8

1.63 40 27 20 11 13 12 10 9 8

1.70 38 25 19 10 13 11 9 8 8

1.80 35 23 18 9 12 10 9 8 7

1.90 32 22 16 9 11 9 8 7 6

2.00 30 20 15 8 10 9 8 7 6

2.10 28 19 14 8 9 8 7 6 6

2.20 27 18 13 7 9 8 7 6 5

2.30 25 17 13 7 8 7 6 6 5

2.40 24 16 12 6 8 7 6 5 5

2.50 23 15 11 6 8 6 6 5 5

2.60 21 14 11 6 7 6 5 5 4

2.70 20 14 10 5 7 6 5 5 4

2.73 20 13 10 5 7 6 5 4 4

Smax 170 114 85 68 57 49 43 38 34 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 170 114 85 68 57 49 43 38 34

0.70 170 114 85 68 57 49 43 38 34

0.80 152 102 76 44 51 44 38 34 30

0.90 111 74 56 32 37 32 28 25 22

1.00 88 58 44 25 29 25 22 19 18

1.10 72 48 36 21 24 21 18 16 14

1.20 61 41 31 18 20 18 15 14 12

1.30 53 36 27 15 18 15 13 12 11

1.40 47 32 24 14 16 14 12 11 9

1.50 42 28 21 12 14 12 11 9 8

1.60 38 26 19 11 13 11 10 9 8

1.63 37 25 19 11 12 11 9 8 7

1.70 35 23 18 10 12 10 9 8 7

1.80 32 22 16 9 11 9 8 7 6

1.90 30 20 15 9 10 9 8 7 6

2.00 28 19 14 8 9 8 7 6 6

2.10 26 17 13 8 9 7 7 6 5

2.20 25 16 12 7 8 7 6 5 5

2.30 23 16 12 7 8 7 6 5 5

2.40 22 15 11 6 7 6 6 5 4

2.50 21 14 10 6 7 6 5 5 4

2.60 20 13 10 6 7 6 5 4 4

2.70 19 13 9 5 6 5 5 4 4

2.73 19 12 9 5 6 5 5 4 4

Smax 170 114 85 68 57 49 43 38 34 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


8/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 170 114 85 68 57 49 43 38 34

0.70 170 114 85 68 57 49 43 38 34

0.80 140 93 70 44 47 40 35 31 28

0.90 102 68 51 32 34 29 25 23 20

1.00 80 54 40 25 27 23 20 18 16

1.10 66 44 33 21 22 19 17 15 13

1.20 56 38 28 18 19 16 14 13 11

1.30 49 33 24 15 16 14 12 11 10

1.40 43 29 22 14 14 12 11 10 9

1.50 39 26 19 12 13 11 10 9 8

1.60 35 24 18 11 12 10 9 8 7

1.63 34 23 17 11 11 10 9 8 7

1.70 32 21 16 10 11 9 8 7 6

1.80 30 20 15 9 10 8 7 7 6

1.90 28 18 14 9 9 8 7 6 6

2.00 26 17 13 8 9 7 6 6 5

2.10 24 16 12 8 8 7 6 5 5

2.20 23 15 11 7 8 6 6 5 5

2.30 21 14 11 7 7 6 5 5 4

2.40 20 13 10 6 7 6 5 4 4

2.50 19 13 10 6 6 5 5 4 4

2.60 18 12 9 6 6 5 5 4 4

2.70 17 12 9 5 6 5 4 4 3

2.73 17 11 9 5 6 5 4 4 3

Smax 170 114 85 68 57 49 43 38 34 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 170 114 85 68 57 49 43 38 34

0.70 170 114 85 68 57 49 43 38 34

0.80 132 88 66 44 44 38 33 29 26

0.90 96 64 48 32 32 28 24 21 19

1.00 76 51 38 25 25 22 19 17 15

1.10 63 42 31 21 21 18 16 14 13

1.20 53 35 27 18 18 15 13 12 11

1.30 46 31 23 15 15 13 12 10 9

1.40 41 27 20 14 14 12 10 9 8

1.50 37 24 18 12 12 10 9 8 7

1.60 33 22 17 11 11 10 8 7 7

1.63 32 22 16 11 11 9 8 7 6

1.70 30 20 15 10 10 9 8 7 6

1.80 28 19 14 9 9 8 7 6 6

1.90 26 17 13 9 9 7 7 6 5

2.00 24 16 12 8 8 7 6 5 5

2.10 23 15 11 8 8 6 6 5 5

2.20 21 14 11 7 7 6 5 5 4

2.30 20 13 10 7 7 6 5 4 4

2.40 19 13 10 6 6 5 5 4 4

2.50 18 12 9 6 6 5 5 4 4

2.60 17 11 9 6 6 5 4 4 3

2.70 16 11 8 5 5 5 4 4 3

2.73 16 11 8 5 5 5 4 4 3

Smax 170 114 85 68 57 49 43 38 34 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


9/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 159 106 80 64 53 46 40 35 32

0.70 159 106 80 64 53 46 40 35 32

0.80 118 79 59 44 39 34 30 26 24

0.90 86 57 43 32 29 25 22 19 17

1.00 68 45 34 25 23 19 17 15 14

1.10 56 37 28 21 19 16 14 12 11

1.20 48 32 24 18 16 14 12 11 10

1.30 41 28 21 15 14 12 10 9 8

1.40 37 24 18 14 12 10 9 8 7

1.50 33 22 16 12 11 9 8 7 7

1.60 30 20 15 11 10 9 7 7 6

1.63 29 19 14 11 10 8 7 6 6

1.70 27 18 14 10 9 8 7 6 5

1.80 25 17 13 9 8 7 6 6 5

1.90 23 16 12 9 8 7 6 5 5

2.00 22 14 11 8 7 6 5 5 4

2.10 20 14 10 8 7 6 5 5 4

2.20 19 13 10 7 6 5 5 4 4

2.30 18 12 9 7 6 5 5 4 4

2.40 17 11 9 6 6 5 4 4 3

2.50 16 11 8 6 5 5 4 4 3

2.60 15 10 8 6 5 4 4 3 3

2.70 15 10 7 5 5 4 4 3 3

2.73 14 10 7 5 5 4 4 3 3

Smax 159 106 80 64 53 46 40 35 32 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 146 97 73 58 49 42 36 32 29

0.70 146 97 73 58 49 42 36 32 29

0.80 108 72 54 44 36 31 27 24 22

0.90 79 52 39 32 26 22 20 17 16

1.00 62 41 31 25 21 18 15 14 12

1.10 51 34 26 21 17 15 13 11 10

1.20 43 29 22 18 14 12 11 10 9

1.30 38 25 19 15 13 11 9 8 8

1.40 33 22 17 14 11 10 8 7 7

1.50 30 20 15 12 10 9 8 7 6

1.60 27 18 14 11 9 8 7 6 5

1.63 26 18 13 11 9 8 7 6 5

1.70 25 17 12 10 8 7 6 6 5

1.80 23 15 11 9 8 7 6 5 5

1.90 21 14 11 9 7 6 5 5 4

2.00 20 13 10 8 7 6 5 4 4

2.10 19 12 9 8 6 5 5 4 4

2.20 17 12 9 7 6 5 4 4 3

2.30 16 11 8 7 5 5 4 4 3

2.40 16 10 8 6 5 4 4 3 3

2.50 15 10 7 6 5 4 4 3 3

2.60 14 9 7 6 5 4 4 3 3

2.70 13 9 7 5 4 4 3 3 3

2.73 13 9 7 5 4 4 3 3 3

Smax 146 97 73 58 49 42 36 32 29 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


10/18

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 135 90 67 54 45 38 34 30 27

0.70 135 90 67 54 45 38 34 30 27

0.80 100 67 50 44 33 29 25 22 20

0.90 73 49 36 32 24 21 18 16 15

1.00 57 38 29 25 19 16 14 13 11

1.10 47 32 24 21 16 14 12 11 9

1.20 40 27 20 18 13 11 10 9 8

1.30 35 23 17 15 12 10 9 8 7

1.40 31 21 15 14 10 9 8 7 6

1.50 28 19 14 12 9 8 7 6 6

1.60 25 17 13 11 8 7 6 6 5

1.63 24 16 12 11 8 7 6 5 5

1.70 23 15 12 10 8 7 6 5 5

1.80 21 14 11 9 7 6 5 5 4

1.90 20 13 10 9 7 6 5 4 4

2.00 18 12 9 8 6 5 5 4 4

2.10 17 11 9 8 6 5 4 4 3

2.20 16 11 8 7 5 5 4 4 3

2.30 15 10 8 7 5 4 4 3 3

2.40 14 10 7 6 5 4 4 3 3

2.50 14 9 7 6 5 4 3 3 3

2.60 13 9 7 6 4 4 3 3 3

2.70 12 8 6 5 4 4 3 3 2

2.73 12 8 6 5 4 3 3 3 2

Smax 135 90 67 54 45 38 34 30 27 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

3/8''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 126 84 63 50 42 36 32 28 25

0.70 126 84 63 50 42 36 32 28 25

0.80 93 62 47 44 31 27 23 21 19

0.90 68 45 34 32 23 19 17 15 14

1.00 54 36 27 25 18 15 13 12 11

1.10 44 29 22 21 15 13 11 10 9

1.20 38 25 19 18 13 11 9 8 8

1.30 33 22 16 15 11 9 8 7 7

1.40 29 19 14 14 10 8 7 6 6

1.50 26 17 13 12 9 7 6 6 5

1.60 24 16 12 11 8 7 6 5 5

1.63 23 15 11 11 8 7 6 5 5

1.70 22 14 11 10 7 6 5 5 4

1.80 20 13 10 9 7 6 5 4 4

1.90 18 12 9 9 6 5 5 4 4

2.00 17 11 9 8 6 5 4 4 3

2.10 16 11 8 8 5 5 4 4 3

2.20 15 10 8 7 5 4 4 3 3

2.30 14 9 7 7 5 4 4 3 3

2.40 13 9 7 6 4 4 3 3 3

2.50 13 9 6 6 4 4 3 3 3

2.60 12 8 6 6 4 3 3 3 2

2.70 12 8 6 5 4 3 3 3 2

2.73 11 8 6 5 4 3 3 3 2

Smax 126 84 63 50 42 36 32 28 25 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


11/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 305 203 152 122 102 87 76 68 61

0.70 305 203 152 122 102 87 76 68 61

0.80 294 196 147 79 98 84 74 65 59

0.90 215 143 107 57 72 61 54 48 43

1.00 169 113 85 45 56 48 42 38 34

1.10 139 93 70 37 46 40 35 31 28

1.20 119 79 59 32 40 34 30 26 24

1.30 103 69 52 28 34 30 26 23 21

1.40 91 61 46 24 30 26 23 20 18

1.50 82 55 41 22 27 23 20 18 16

1.60 74 50 37 20 25 21 19 17 15

1.63 72 48 36 19 24 21 18 16 14

1.70 68 45 34 18 23 19 17 15 14

1.80 63 42 31 17 21 18 16 14 13

1.90 58 39 29 15 19 17 15 13 12

2.00 54 36 27 14 18 15 14 12 11

2.10 51 34 25 14 17 14 13 11 10

2.20 48 32 24 13 16 14 12 11 10

2.30 45 30 22 12 15 13 11 10 9

2.40 43 28 21 11 14 12 11 9 9

2.50 40 27 20 11 13 12 10 9 8

2.60 38 26 19 10 13 11 10 9 8

2.70 37 24 18 10 12 10 9 8 7

2.73 36 24 18 10 12 10 9 8 7

Smax 305 203 152 122 102 87 76 68 61 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 305 203 152 122 102 87 76 68 61

0.70 305 203 152 122 102 87 76 68 61

0.80 273 182 136 79 91 78 68 61 55

0.90 199 133 99 57 66 57 50 44 40

1.00 157 104 78 45 52 45 39 35 31

1.10 129 86 65 37 43 37 32 29 26

1.20 110 73 55 32 37 31 27 24 22

1.30 96 64 48 28 32 27 24 21 19

1.40 85 56 42 24 28 24 21 19 17

1.50 76 51 38 22 25 22 19 17 15

1.60 69 46 34 20 23 20 17 15 14

1.63 67 45 33 19 22 19 17 15 13

1.70 63 42 31 18 21 18 16 14 13

1.80 58 39 29 17 19 17 14 13 12

1.90 54 36 27 15 18 15 13 12 11

2.00 50 33 25 14 17 14 13 11 10

2.10 47 31 23 14 16 13 12 10 9

2.20 44 29 22 13 15 13 11 10 9

2.30 42 28 21 12 14 12 10 9 8

2.40 39 26 20 11 13 11 10 9 8

2.50 37 25 19 11 12 11 9 8 7

2.60 36 24 18 10 12 10 9 8 7

2.70 34 23 17 10 11 10 8 8 7

2.73 33 22 17 10 11 10 8 7 7

Smax 305 203 152 122 102 87 76 68 61 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


12/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 305 203 152 122 102 87 76 68 61

0.70 305 203 152 122 102 87 76 68 61

0.80 250 167 125 79 83 71 62 56 50

0.90 182 122 91 57 61 52 46 41 36

1.00 144 96 72 45 48 41 36 32 29

1.10 118 79 59 37 39 34 30 26 24

1.20 101 67 50 32 34 29 25 22 20

1.30 88 58 44 28 29 25 22 19 18

1.40 78 52 39 24 26 22 19 17 16

1.50 70 46 35 22 23 20 17 15 14

1.60 63 42 32 20 21 18 16 14 13

1.63 61 41 31 19 20 18 15 14 12

1.70 58 38 29 18 19 16 14 13 12

1.80 53 35 27 17 18 15 13 12 11

1.90 49 33 25 15 16 14 12 11 10

2.00 46 31 23 14 15 13 11 10 9

2.10 43 29 21 14 14 12 11 10 9

2.20 40 27 20 13 13 12 10 9 8

2.30 38 25 19 12 13 11 10 8 8

2.40 36 24 18 11 12 10 9 8 7

2.50 34 23 17 11 11 10 9 8 7

2.60 33 22 16 10 11 9 8 7 7

2.70 31 21 16 10 10 9 8 7 6

2.73 31 20 15 10 10 9 8 7 6

Smax 305 203 152 122 102 87 76 68 61 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 305 203 152 122 102 87 76 68 61

0.70 305 203 152 122 102 87 76 68 61

0.80 236 157 118 79 79 67 59 52 47

0.90 172 115 86 57 57 49 43 38 34

1.00 136 90 68 45 45 39 34 30 27

1.10 112 75 56 37 37 32 28 25 22

1.20 95 63 48 32 32 27 24 21 19

1.30 83 55 41 28 28 24 21 18 17

1.40 73 49 37 24 24 21 18 16 15

1.50 66 44 33 22 22 19 16 15 13

1.60 60 40 30 20 20 17 15 13 12

1.63 58 39 29 19 19 17 14 13 12

1.70 54 36 27 18 18 16 14 12 11

1.80 50 33 25 17 17 14 13 11 10

1.90 47 31 23 15 16 13 12 10 9

2.00 43 29 22 14 14 12 11 10 9

2.10 41 27 20 14 14 12 10 9 8

2.20 38 25 19 13 13 11 10 8 8

2.30 36 24 18 12 12 10 9 8 7

2.40 34 23 17 11 11 10 9 8 7

2.50 32 22 16 11 11 9 8 7 6

2.60 31 21 15 10 10 9 8 7 6

2.70 29 20 15 10 10 8 7 7 6

2.73 29 19 14 10 10 8 7 6 6

Smax 305 203 152 122 102 87 76 68 61 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


13/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 285 190 143 114 95 81 71 63 57

0.70 285 190 143 114 95 81 71 63 57

0.80 211 141 106 79 70 60 53 47 42

0.90 154 103 77 57 51 44 39 34 31

1.00 121 81 61 45 40 35 30 27 24

1.10 100 67 50 37 33 29 25 22 20

1.20 85 57 43 32 28 24 21 19 17

1.30 74 49 37 28 25 21 19 16 15

1.40 66 44 33 24 22 19 16 15 13

1.50 59 39 29 22 20 17 15 13 12

1.60 53 36 27 20 18 15 13 12 11

1.63 52 35 26 19 17 15 13 12 10

1.70 49 32 24 18 16 14 12 11 10

1.80 45 30 22 17 15 13 11 10 9

1.90 42 28 21 15 14 12 10 9 8

2.00 39 26 19 14 13 11 10 9 8

2.10 36 24 18 14 12 10 9 8 7

2.20 34 23 17 13 11 10 9 8 7

2.30 32 21 16 12 11 9 8 7 6

2.40 30 20 15 11 10 9 8 7 6

2.50 29 19 14 11 10 8 7 6 6

2.60 28 18 14 10 9 8 7 6 6

2.70 26 18 13 10 9 8 7 6 5

2.73 26 17 13 10 9 7 6 6 5

Smax 285 190 143 114 95 81 71 63 57 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 260 174 130 104 87 74 65 58 52

0.70 260 174 130 104 87 74 65 58 52

0.80 193 129 96 79 64 55 48 43 39

0.90 141 94 70 57 47 40 35 31 28

1.00 111 74 55 45 37 32 28 25 22

1.10 91 61 46 37 30 26 23 20 18

1.20 78 52 39 32 26 22 19 17 16

1.30 68 45 34 28 23 19 17 15 14

1.40 60 40 30 24 20 17 15 13 12

1.50 54 36 27 22 18 15 13 12 11

1.60 49 32 24 20 16 14 12 11 10

1.63 47 32 24 19 16 14 12 11 9

1.70 44 30 22 18 15 13 11 10 9

1.80 41 27 20 17 14 12 10 9 8

1.90 38 25 19 15 13 11 9 8 8

2.00 35 24 18 14 12 10 9 8 7

2.10 33 22 17 14 11 9 8 7 7

2.20 31 21 16 13 10 9 8 7 6

2.30 29 20 15 12 10 8 7 7 6

2.40 28 19 14 11 9 8 7 6 6

2.50 26 18 13 11 9 8 7 6 5

2.60 25 17 13 10 8 7 6 6 5

2.70 24 16 12 10 8 7 6 5 5

2.73 24 16 12 10 8 7 6 5 5

Smax 260 174 130 104 87 74 65 58 52 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


14/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 241 161 120 96 80 69 60 54 48

0.70 241 161 120 96 80 69 60 54 48

0.80 178 119 89 79 59 51 45 40 36

0.90 130 87 65 57 43 37 33 29 26

1.00 103 68 51 45 34 29 26 23 21

1.10 85 56 42 37 28 24 21 19 17

1.20 72 48 36 32 24 21 18 16 14

1.30 63 42 31 28 21 18 16 14 13

1.40 55 37 28 24 18 16 14 12 11

1.50 50 33 25 22 17 14 12 11 10

1.60 45 30 23 20 15 13 11 10 9

1.63 44 29 22 19 15 13 11 10 9

1.70 41 27 21 18 14 12 10 9 8

1.80 38 25 19 17 13 11 9 8 8

1.90 35 23 18 15 12 10 9 8 7

2.00 33 22 16 14 11 9 8 7 7

2.10 31 20 15 14 10 9 8 7 6

2.20 29 19 14 13 10 8 7 6 6

2.30 27 18 14 12 9 8 7 6 5

2.40 26 17 13 11 9 7 6 6 5

2.50 24 16 12 11 8 7 6 5 5

2.60 23 16 12 10 8 7 6 5 5

2.70 22 15 11 10 7 6 6 5 4

2.73 22 15 11 10 7 6 5 5 4

Smax 241 161 120 96 80 69 60 54 48 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 225 150 113 90 75 64 56 50 45

0.70 225 150 113 90 75 64 56 50 45

0.80 167 111 83 79 56 48 42 37 33

0.90 122 81 61 57 41 35 30 27 24

1.00 96 64 48 45 32 27 24 21 19

1.10 79 53 40 37 26 23 20 18 16

1.20 67 45 34 32 22 19 17 15 13

1.30 59 39 29 28 20 17 15 13 12

1.40 52 35 26 24 17 15 13 12 10

1.50 46 31 23 22 15 13 12 10 9

1.60 42 28 21 20 14 12 11 9 8

1.63 41 27 20 19 14 12 10 9 8

1.70 39 26 19 18 13 11 10 9 8

1.80 35 24 18 17 12 10 9 8 7

1.90 33 22 16 15 11 9 8 7 7

2.00 31 20 15 14 10 9 8 7 6

2.10 29 19 14 14 10 8 7 6 6

2.20 27 18 13 13 9 8 7 6 5

2.30 25 17 13 12 8 7 6 6 5

2.40 24 16 12 11 8 7 6 5 5

2.50 23 15 11 11 8 7 6 5 5

2.60 22 15 11 10 7 6 5 5 4

2.70 21 14 10 10 7 6 5 5 4

2.73 20 14 10 10 7 6 5 5 4

Smax 225 150 113 90 75 64 56 50 45 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


15/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 203 135 102 81 68 58 51 45 41

0.70 203 135 102 81 68 58 51 45 41

0.80 196 131 98 79 65 56 49 44 39

0.90 143 96 72 57 48 41 36 32 29

1.00 113 75 56 45 38 32 28 25 23

1.10 93 62 46 37 31 27 23 21 19

1.20 79 53 40 32 26 23 20 18 16

1.30 69 46 34 28 23 20 17 15 14

1.40 61 41 30 24 20 17 15 14 12

1.50 55 36 27 22 18 16 14 12 11

1.60 50 33 25 20 17 14 12 11 10

1.63 48 32 24 19 16 14 12 11 10

1.70 45 30 23 18 15 13 11 10 9

1.80 42 28 21 17 14 12 10 9 8

1.90 39 26 19 15 13 11 10 9 8

2.00 36 24 18 14 12 10 9 8 7

2.10 34 23 17 14 11 10 8 8 7

2.20 32 21 16 13 11 9 8 7 6

2.30 30 20 15 12 10 9 7 7 6

2.40 28 19 14 11 9 8 7 6 6

2.50 27 18 13 11 9 8 7 6 5

2.60 26 17 13 10 9 7 6 6 5

2.70 24 16 12 10 8 7 6 5 5

2.73 24 16 12 10 8 7 6 5 5

Smax 203 135 102 81 68 58 51 45 41 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 203 135 102 81 68 58 51 45 41

0.70 203 135 102 81 68 58 51 45 41

0.80 182 121 91 79 61 52 45 40 36

0.90 133 88 66 57 44 38 33 29 27

1.00 104 70 52 45 35 30 26 23 21

1.10 86 57 43 37 29 25 22 19 17

1.20 73 49 37 32 24 21 18 16 15

1.30 64 42 32 28 21 18 16 14 13

1.40 56 38 28 24 19 16 14 13 11

1.50 51 34 25 22 17 14 13 11 10

1.60 46 31 23 20 15 13 11 10 9

1.63 45 30 22 19 15 13 11 10 9

1.70 42 28 21 18 14 12 10 9 8

1.80 39 26 19 17 13 11 10 9 8

1.90 36 24 18 15 12 10 9 8 7

2.00 33 22 17 14 11 10 8 7 7

2.10 31 21 16 14 10 9 8 7 6

2.20 29 20 15 13 10 8 7 7 6

2.30 28 18 14 12 9 8 7 6 6

2.40 26 17 13 11 9 7 7 6 5

2.50 25 17 12 11 8 7 6 6 5

2.60 24 16 12 10 8 7 6 5 5

2.70 23 15 11 10 8 6 6 5 5

2.73 22 15 11 10 7 6 6 5 4

Smax 203 135 102 81 68 58 51 45 41 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


16/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 203 135 102 81 68 58 51 45 41

0.70 203 135 102 81 68 58 51 45 41

0.80 167 111 83 79 56 48 42 37 33

0.90 122 81 61 57 41 35 30 27 24

1.00 96 64 48 45 32 27 24 21 19

1.10 79 53 39 37 26 23 20 18 16

1.20 67 45 34 32 22 19 17 15 13

1.30 58 39 29 28 19 17 15 13 12

1.40 52 34 26 24 17 15 13 11 10

1.50 46 31 23 22 15 13 12 10 9

1.60 42 28 21 20 14 12 11 9 8

1.63 41 27 20 19 14 12 10 9 8

1.70 38 26 19 18 13 11 10 9 8

1.80 35 24 18 17 12 10 9 8 7

1.90 33 22 16 15 11 9 8 7 7

2.00 31 20 15 14 10 9 8 7 6

2.10 29 19 14 14 10 8 7 6 6

2.20 27 18 13 13 9 8 7 6 5

2.30 25 17 13 12 8 7 6 6 5

2.40 24 16 12 11 8 7 6 5 5

2.50 23 15 11 11 8 7 6 5 5

2.60 22 14 11 10 7 6 5 5 4

2.70 21 14 10 10 7 6 5 5 4

2.73 20 14 10 10 7 6 5 5 4

Smax 203 135 102 81 68 58 51 45 41 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 203 135 102 81 68 58 51 45 41

0.70 203 135 102 81 68 58 51 45 41

0.80 157 105 79 79 52 45 39 35 31

0.90 115 77 57 57 38 33 29 26 23

1.00 90 60 45 45 30 26 23 20 18

1.10 75 50 37 37 25 21 19 17 15

1.20 63 42 32 32 21 18 16 14 13

1.30 55 37 28 28 18 16 14 12 11

1.40 49 33 24 24 16 14 12 11 10

1.50 44 29 22 22 15 13 11 10 9

1.60 40 26 20 20 13 11 10 9 8

1.63 39 26 19 19 13 11 10 9 8

1.70 36 24 18 18 12 10 9 8 7

1.80 33 22 17 17 11 10 8 7 7

1.90 31 21 16 15 10 9 8 7 6

2.00 29 19 14 14 10 8 7 6 6

2.10 27 18 14 14 9 8 7 6 5

2.20 25 17 13 13 8 7 6 6 5

2.30 24 16 12 12 8 7 6 5 5

2.40 23 15 11 11 8 6 6 5 5

2.50 22 14 11 11 7 6 5 5 4

2.60 21 14 10 10 7 6 5 5 4

2.70 20 13 10 10 7 6 5 4 4

2.73 19 13 10 10 6 6 5 4 4

Smax 203 135 102 81 68 58 51 45 41 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


17/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 190 127 95 76 63 54 48 42 38

0.70 190 127 95 76 63 54 48 42 38

0.80 141 94 70 76 47 40 35 31 28

0.90 103 68 51 57 34 29 26 23 21

1.00 81 54 40 45 27 23 20 18 16

1.10 67 44 33 37 22 19 17 15 13

1.20 57 38 28 32 19 16 14 13 11

1.30 49 33 25 28 16 14 12 11 10

1.40 44 29 22 24 15 12 11 10 9

1.50 39 26 20 22 13 11 10 9 8

1.60 36 24 18 20 12 10 9 8 7

1.63 35 23 17 19 12 10 9 8 7

1.70 32 22 16 18 11 9 8 7 6

1.80 30 20 15 17 10 9 7 7 6

1.90 28 18 14 15 9 8 7 6 6

2.00 26 17 13 14 9 7 6 6 5

2.10 24 16 12 14 8 7 6 5 5

2.20 23 15 11 13 8 7 6 5 5

2.30 21 14 11 12 7 6 5 5 4

2.40 20 14 10 11 7 6 5 5 4

2.50 19 13 10 11 6 6 5 4 4

2.60 18 12 9 10 6 5 5 4 4

2.70 18 12 9 10 6 5 4 4 4

2.73 17 12 9 10 6 5 4 4 3

Smax 190 127 95 76 63 54 48 42 38 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 174 116 87 69 58 50 43 39 35

0.70 174 116 87 69 58 50 43 39 35

0.80 129 86 64 69 43 37 32 29 26

0.90 94 63 47 57 31 27 23 21 19

1.00 74 49 37 45 25 21 18 16 15

1.10 61 41 30 37 20 17 15 14 12

1.20 52 35 26 32 17 15 13 12 10

1.30 45 30 23 28 15 13 11 10 9

1.40 40 27 20 24 13 11 10 9 8

1.50 36 24 18 22 12 10 9 8 7

1.60 32 22 16 20 11 9 8 7 6

1.63 32 21 16 19 11 9 8 7 6

1.70 30 20 15 18 10 8 7 7 6

1.80 27 18 14 17 9 8 7 6 5

1.90 25 17 13 15 8 7 6 6 5

2.00 24 16 12 14 8 7 6 5 5

2.10 22 15 11 14 7 6 6 5 4

2.20 21 14 10 13 7 6 5 5 4

2.30 20 13 10 12 7 6 5 4 4

2.40 19 12 9 11 6 5 5 4 4

2.50 18 12 9 11 6 5 4 4 4

2.60 17 11 8 10 6 5 4 4 3

2.70 16 11 8 10 5 5 4 4 3

2.73 16 11 8 10 5 5 4 4 3

Smax 174 116 87 69 58 50 43 39 35 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm


18/18

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 161 107 80 64 54 46 40 36 32

0.70 161 107 80 64 54 46 40 36 32

0.80 119 79 59 64 40 34 30 26 24

0.90 87 58 43 57 29 25 22 19 17

1.00 68 46 34 45 23 20 17 15 14

1.10 56 38 28 37 19 16 14 13 11

1.20 48 32 24 32 16 14 12 11 10

1.30 42 28 21 28 14 12 10 9 8

1.40 37 25 18 24 12 11 9 8 7

1.50 33 22 17 22 11 9 8 7 7

1.60 30 20 15 20 10 9 8 7 6

1.63 29 19 15 19 10 8 7 6 6

1.70 27 18 14 18 9 8 7 6 5

1.80 25 17 13 17 8 7 6 6 5

1.90 23 16 12 15 8 7 6 5 5

2.00 22 15 11 14 7 6 5 5 4

2.10 20 14 10 14 7 6 5 5 4

2.20 19 13 10 13 6 5 5 4 4

2.30 18 12 9 12 6 5 5 4 4

2.40 17 11 9 11 6 5 4 4 3

2.50 16 11 8 11 5 5 4 4 3

2.60 16 10 8 10 5 4 4 3 3

2.70 15 10 7 10 5 4 4 3 3

2.73 15 10 7 10 5 4 4 3 3

Smax 161 107 80 64 54 46 40 36 32 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

1/2''

10 15 20 25 30 35 40 45 50 Smax

0.50

0.60 150 100 75 60 50 43 38 33 30

0.70 150 100 75 60 50 43 38 33 30

0.80 111 74 56 60 37 32 28 25 22

0.90 81 54 41 57 27 23 20 18 16

1.00 64 43 32 45 21 18 16 14 13

1.10 53 35 26 37 18 15 13 12 11

1.20 45 30 22 32 15 13 11 10 9

1.30 39 26 20 28 13 11 10 9 8

1.40 35 23 17 24 12 10 9 8 7

1.50 31 21 15 22 10 9 8 7 6

1.60 28 19 14 20 9 8 7 6 6

1.63 27 18 14 19 9 8 7 6 5

1.70 26 17 13 18 9 7 6 6 5

1.80 24 16 12 17 8 7 6 5 5

1.90 22 15 11 15 7 6 5 5 4

2.00 20 14 10 14 7 6 5 5 4

2.10 19 13 10 14 6 5 5 4 4

2.20 18 12 9 13 6 5 4 4 4

2.30 17 11 8 12 6 5 4 4 3

2.40 16 11 8 11 5 5 4 4 3

2.50 15 10 8 11 5 4 4 3 3

2.60 15 10 7 10 5 4 4 3 3

2.70 14 9 7 10 5 4 3 3 3

2.73 14 9 7 10 5 4 3 3 3

Smax 150 100 75 60 50 43 38 33 30 Smax

SEPARACION S [cm]


d/4, 30 cm

Vu/f'cbwd

d/2, 60 cm

ayudas de diseno.pdf

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