Tabela Flexão Simples - Concreto Armado

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Tabela de flexão simples Aço CA50
100. ρ
kx Kz Kmd C20 C25 C30 εc εs fsd 1. Calcula-se
0.01 0.996 0.0080 0.15 0.15 0.173 0.1010 10.00 43.478 Kmd=Md / ( bw . d2 .0,85 . fcd)
0.02 0.992 0.0159 0.15 0.15 0.173 0.2041 10.00 43.478
0.03 0.988 0.0237 0.15 0.15 0.173 0.3093 10.00 43.478 2. Com Kmd lê-se Kz e fsd
0.04 0.984 0.0315 0.15 0.15 0.173 0.4167 10.00 43.478
0.05 0.980 0.0392 0.15 0.15 0.173 0.5263 10.00 43.478 3 Com Kz e fsd calcula-se As 
0.06 0.976 0.0468 0.15 0.1676 0.2011 0.6383 10.00 43.478 As = Md / ( fsd . Kz . d)
0.07 0.972 0.0544 0.156 0.1955 0.2346 0.7527 10.00 43.478
0.08 0.968 0.0620 0.179 0.2234 0.2681 0.8696 10.00 43.478 1. Calcula-se
0.09 0.964 0.0694 0.201 0.2514 0.3016 0.989 10.00 43.478 Kmd=Md / ( bw . d2 .0,85 . fcd)
0.10 0.960 0.0768 0.223 0.2793 0.3351 1.1111 10.00 43.478
0.11 0.956 0.0841 0.246 0.3072 0.3687 1.2360 10.00 43.478 2. Com Kmd lê-se 100. ρ
0.12 0.952 0.0914 0.268 0.3351 0.4022 1.3636 10.00 43.478 
0.13 0.948 0.0986 0.29 0.3631 0.4357 1.4943 10.00 43.478 3 Com ρ calcula-se As 
0.14 0.944 0.1057 0.313 0.3910 0.4692 1.6279 10.00 43.478 As = ρ (bw . d)
0.15 0.940 0.1128 0.335 0.4189 0.5027 1.7647 10.00 43.478
0.16 0.936 0.1198 0.357 0.4469 0.5362 1.9048 10.00 43.478 Kx = x/d
0.17 0.932 0.1268 0.38 0.4748 0.5697 2.0482 10.00 43.478 Kz= z / d
0.18 0.928 0.1336 0.402 0.5027 0.6033 2.1951 10.00 43.478 εc e εs em %o
0.19 0.924 0.1404 0.425 0.5306 0.6368 2.3457 10.00 43.478 fsd em kN/cm2
0.20 0.920 0.1472 0.447 0.5586 0.6703 2.5000 10.00 43.478
0.21 0.916 0.1539 0.469 0.5865 0.7038 2.6582 10.00 43.478
0.22 0.912 0.1605 0.492 0.6144 0.7373 2.8205 10.00 43.478
0.23 0.908 0.1671 0.514 0.6424 0.7708 2.987 10.00 43.478
0.24 0.904 0.1736 0.536 0.6703 0.8043 3.1579 10.00 43.478
0.25 0.900 0.1800 0.559 0.6982 0.8379 3.3333 10.00 43.478
0.259 0.896 0.1857 0.579 0.7234 0.868 3.4953 10.00 43.478
0.26 0.896 0.1864 0.581 0.7261 0.8714 3.5 9.9615 43.478
0.27 0.892 0.1927 0.603 0.7541 0.9049 3.5 9.463 43.478
0.28 0.888 0.1989 0.626 0.7820 0.9384 3.5 9.000 43.478
0.29 0.884 0.2051 0.648 0.8099 0.9719 3.5 8.569 43.478
0.3 0.880 0.2112 0.67 0.8379 1.0054 3.5 8.1667 43.478
0.31 0.876 0.2172 0.693 0.8658 1.0389 3.5 7.7903 43.478
0.32 0.872 0.2232 0.715 0.8937 1.0725 3.5 7.4375 43.478
0.33 0.868 0.2292 0.737 0.9216 1.1060 3.5 7.1061 43.478
0.34 0.864 0.2350 0.76 0.9496 1.1395 3.5 6.7941 43.478
0.35 0.860 0.2408 0.782 0.9775 1.1730 3.5 6.5000 43.478
0.36 0.856 0.2465 0.804 1.0054 1.2065 3.5 6.2222 43.478
0.37 0.852 0.2522 0.827 1.0334 1.2400 3.5 5.9595 43.478
0.38 0.848 0.2578 0.849 1.0613 1.2736 3.5 5.7105 43.478
0.39 0.844 0.2633 0.871 1.0892 1.3071 3.5 5.4744 43.478
0.40 0.840 0.2688 0.894 1.1171 1.3406 3.5 5.2500 43.478
0.41 0.836 0.2742 0.916 1.1451 1.3741 3.5 5.0366 43.478
0.42 0.832 0.2796 0.938 1.1730 1.4076 3.5 4.8333 43.478
0.43 0.828 0.2848 0.961 1.2009 1.4411 3.5 4.6395 43.478
0.44 0.824 0.29 0.983 1.2289 1.4746 3.5 4.4545 43.478
0.45 0.820 0.2952 1.005 1.2568 1.5082 3.5 4.2778 43.478
0.46 0.816 0.3003 1.028 1.2847 1.5417 3.5 4.1087 43.478
0.47 0.812 0.3053 1.05 1.3127 1.5752 3.5 3.9468 43.478
0.48 0.808 0.3103 1.072 1.3406 1.6087 3.5 3.7917 43.478
0.49 0.804 0.3152 1.095 1.3685 1.6422 3.5 3.6429 43.478
0.50 0.800 0.32 1.117 1.3964 1.6757 3.5 3.5 43.478
100. ρ 1. Calcula-se
kx Kz Kmd C20 C25 C30 εc εs fsd Kmd=Md/( bw . d2 .0,85 . fcd)
0.51 0.796 0.3248 1.139 1.4244 1.7092 3.5 3.3627 43.478
0.52 0.792 0.3295 1.162 1.4523 1.7428 3.5 3.2308 43.478 2. Com Kmd lê-se Kz e fsd
0.53 0.788 0.3341 1.184 1.4802 1.7763 3.5 3.1038 43.478
0.54 0.784 0.3387 1.207 1.5082 1.8098 3.5 2.9815 43.478 3 Com Kz e fsd calcula-se As 
0.55 0.780 0.3432 1.229 1.5361 1.8433 3.5 2.8636 43.478 As = Md / ( fsd . Kz . d)
0.56 0.776 0.3476 1.251 1.564 1.8768 3.5 2.7500 43.478
0.57 0.772 0.352 1.274 1.5919 1.9103 3.5 2.6404 43.478 1. Calcula-se
0.58 0.768 0.3564 1.296 1.6199 1.9438 3.5 2.5345 43.478 Kmd=Md/( bw . d2 .0,85 . fcd)
0.59 0.764 0.3606 1.318 1.6478 1.9774 3.5 2.4322 43.478
0.60 0.760 0.3648 1.341 1.6757 2.0109 3.5 2.3333 43.478 2. Com Kmd lê-se 100. ρ
0.61 0.756 0.3689 1.363 1.7037 2.0444 3.5 2.2377 43.478 
0.62 0.752 0.373 1.385 1.7316 2.0779 3.5 2.1452 43.478 3 Com ρ calcula-se As 
0.628 0.749 0.3762 1.403 1.7595 2.1047 3.5 2.0732 43.478 As = ρ (bw . d)
0.63 0.748 0.377 1.418 1.7722 2.1266 3.5 2.0556 43.167
0.64 0.744 0.3809 1.504 1.8797 2.2557 3.5 1.9688 41.344
0.65 0.740 0.3848 1.595 1.9943 2.3932 3.5 1.8846 39.577
0.66 0.736 0.3886 1.693 2.1166 2.5399 3.5 1.803 37.864
0.67 0.732 0.3924 1.798 2.2473 2.6968 3.5 1.7239 36.201
0.68 0.728 0.396 1.91 2.3873 2.8647 3.5 1.6471 34.588
0.69 0.724 0.3996 2.03 2.5373 3.0447 3.5 1.5725 33.022
0.7 0.720 0.4032 2.159 2.6984 3.2381 3.5 1.500 31.500
0.71 0.716 0.4067 2.297 2.8718 3.4461 3.5 1.4296 30.021
0.72 0.712 0.4101 2.447 3.0587 3.6705 3.5 1.3611 28.583
0.73 0.708 0.4135 2.609 3.2607 3.9129 3.5 1.2945 27.185
0.74 0.704 0.4168 2.784 3.4796 4.1755 3.5 1.2297 25.824
0.75 0.70 0.420 2.974 3.7172 4.4606 3.5 1.1667 24.500
0.76 0.696 0.4232 3.181 3.976 4.7712 3.5 1.1053 23.211
0.77 0.692 0.4263 3.407 4.2588 5.1106 3.5 1.0455 21.955
0.78 0.688 0.4293 3.655 4.5688 5.4825 3.5 0.9872 20.731
0.79 0.684 0.4323 3.928 4.9099 5.8918 3.5 0.9304 19.538
0.8 0.68 0.4352 4.229 5.2867 6.344 3.5 0.875 18.375
0.81 0.676 0.438 4.564 5.7049 6.8459 3.5 0.821 17.241
0.82 0.672 0.4408 4.937 6.1715 7.4058 3.5 0.7683 16.134
0.83 0.668 0.4436 5.356 6.6948 8.0338 3.5 0.7169 15.054
0.84 0.664 0.4462 5.829 7.2857 8.7429 3.5 0.6667 14.000
0.85 0.66 0.4488 6.366 7.9576 9.5491 3.5 0.6176 12.971
0.86 0.656 0.4513 6.982 8.7278 10.473 3.5 0.5698 11.965
0.87 0.652 0.4538 7.695 9.619 11.543 3.5 0.523 10.983
0.88 0.648 0.4562 8.529 10.661 12.794 3.5 0.4773 10.023
0.89 0.644 0.4585 9.517 11.897 14.276 3.5 0.4326 9.0843
0.90 0.640 0.4608 10.71 13.382 16.058 3.5 0.3889 8.1667
0.91 0.636 0.463 12.16 15.201 18.241 3.5 0.3462 7.2692
0.92 0.632 0.4652 13.98 17.479 20.975 3.5 0.3043 6.3913
0.93 0.628 0.4672 16.33 20.413 24.495 3.5 0.2634 5.5323
0.94 0.624 0.4692 19.46 24.33 29.196 3.5 0.2234 4.6915
0.95 0.620 0.4712 23.86 29.82 35.784 3.5 0.1842 3.8684
0.96 0.616 0.4731 30.45 38.064 45.677 3.5 0.1458 3.0625
0.97 0.612 0.4749 41.45 51.815 62.178 3.5 0.1082 2.2732
0.98 0.608 0.4767 63.47 79.333 95.2 3.5 0.0714 1.5000
0.99 0.604 0.4784 129.5 161.92 194.31 3.5 0.0354 0.7424
1.00 0.600 0.480 Infinito infinito infinito 3.5 0.000 0.000