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Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
25 - A Dimensionamento de seção retangular - Aço CA 25-A 25 fyk (MPa) = 250 0.77 fck (MPa) As unidades de Ks e Kc estão em KN e cm Módulo de elasticidade (MPa) = 210000 13.5 15 18 20 21 25 30 35 40 45 50 Domínio Kx Ks Kc 0.01 2 0.01 0.0001010101 0.01 0.0620684964 0.046184739 2466.9184392688 2220.2265953419 1850.1888294516 1665.1699465064 1585.8761395299 1332.1359572051 1110.1132976709 951.5256837179 832.5849732532 740.0755317806 666.0679786026 0.02 0.0002040816 0.01 0.1232125503 0.0463709677 623.8622966982 561.4760670284 467.8967225236 421.1070502713 401.0543335917 336.885640217 280.7380335142 240.632600155 210.5535251356 187.1586890095 168.4428201085 0.03 0.0003092784 0.01 0.1833351047 0.0465587045 280.6477238508 252.5829514657 210.4857928881 189.4372135993 180.4163939041 151.5497708794 126.2914757329 108.2498363424 94.7186067996 84.1943171552 75.7748854397 0.04 0.0004166667 0.01 0.2423321759 0.0467479675 159.8892196121 143.9002976509 119.9169147091 107.9252232382 102.7859268935 86.3401785905 71.9501488255 61.6715561361 53.9626116191 47.9667658836 43.1700892953 0.05 0.0005263158 0.01 0.3000923361 0.0469387755 103.7132801839 93.3419521655 77.7849601379 70.0064641241 66.6728229753 56.0051712993 46.6709760827 40.0036937852 35.0032320621 31.1139840552 28.0025856496 0.06 0.0006382979 0.01 0.3564961521 0.0471311475 73.0515507829 65.7463957046 54.7886630872 49.3097967785 46.9617112176 39.4478374228 32.8731978523 28.1770267305 24.6548983892 21.9154652349 19.7239187114 0.07 0.0007526882 0.01 0.4114155779 0.0473251029 54.4804037786 49.0323634007 40.8603028339 36.7742725506 35.0231167148 29.4194180404 24.5161817004 21.0138700289 18.3871362753 16.3441211336 14.7097090202 0.08 0.0008695652 0.01 0.4647132955 0.0475206612 42.3774589913 38.1397130921 31.7830942434 28.6047848191 27.2426522087 22.8838278553 19.0698565461 16.3455913252 14.3023924095 12.7132376974 11.4419139276 0.09 0.000989011 0.01 0.5162419998 0.0477178423 34.0496362483 30.6446726235 25.5372271862 22.9835044676 21.8890518739 18.3868035741 15.3223363117 13.1334311243 11.4917522338 10.2148908745 9.193401787 0.1 0.0011111111 0.01 0.5658436214 0.0479166667 28.0748663102 25.2673796791 21.0561497326 18.9505347594 18.0481283422 15.1604278075 12.6336898396 10.8288770053 9.4752673797 8.422459893 7.5802139037 0.11 0.0012359551 0.01 0.6133484829 0.0481171548 23.6443555624 21.2799200062 17.7332666718 15.9599400046 15.1999428616 12.7679520037 10.6399600031 9.1199657169 7.9799700023 7.0933066687 6.3839760019 0.12 0.0013636364 0.01 0.6585743802 0.0483193277 20.2704004409 18.2433603968 15.2028003307 13.6825202976 13.030971712 10.9460162381 9.1216801984 7.8185830272 6.8412601488 6.0811201323 5.473008119 0.13 0.0014942529 0.01 0.7013255824 0.0485232068 17.6446880153 15.8802192137 13.2335160115 11.9101644103 11.3430137241 9.5281315282 7.9401096069 6.8058082345 5.9550822052 5.2934064046 4.7640657641 0.14 0.001627907 0.01 0.7413917433 0.0487288136 15.5645862143 14.0081275929 11.6734396608 10.5060956947 10.0058054235 8.4048765557 7.0040637965 6.0034832541 5.2530478473 4.6693758643 4.2024382779 0.15 0.0017647059 0.01 0.7785467128 0.0489361702 13.8925371392 12.5032834253 10.4194028544 9.377462569 8.9309167323 7.5019700552 6.2516417126 5.3585500394 4.6887312845 4.1677611418 3.7509850276 0.16 0.0019047619 0.01 0.8125472411 0.0491452991 12.532592047 11.2793328423 9.3994440352 8.4594996317 8.0566663159 6.7675997054 5.6396664211 4.8339997895 4.2297498158 3.7597776141 3.3837998527 0.17 0.0020481928 0.01 0.8431372549 0.0493562232 11.4162176831 10.2745959148 8.5621632624 7.7059469361 7.338997082 6.1647575489 5.1372979574 4.4033982492 3.8529734681 3.4248653049 3.0823787744 0.18 0.002195122 0.01 0.8703703704 0.0495689655 10.4896446228 9.4406801605 7.8672334671 7.0805101204 6.7433429718 5.6644080963 4.7203400803 4.0460057831 3.5402550602 3.1468933868 2.8322040482 0.19 0.002345679 0.01 0.8947368421 0.0497835498 9.7087755681 8.7378980113 7.281581676 6.5534235084 6.2413557223 5.2427388068 4.3689490056 3.7448134334 3.2767117542 2.9126326704 2.6213694034 0.2 0.0025 0.01 0.9166666667 0.05 9.0418248986 8.1376424087 6.781368674 6.1032318066 5.8126017205 4.8825854452 4.0688212044 3.4875610323 3.0516159033 2.7125474696 2.4412927226 0.21 0.0026582278 0.01 0.9365079365 0.0502183406 8.4656268942 7.6190642048 6.3492201706 5.7142981536 5.4421887177 4.5714385229 3.8095321024 3.2653132306 2.8571490768 2.5396880683 2.2857192614 0.22 0.0028205128 0.01 0.9545454545 0.0504385965 7.9628992598 7.1666093338 5.9721744448 5.3749570003 5.119006667 4.2999656003 3.5833046669 3.0714040002 2.6874785002 2.3888697779 2.1499828001 0.23 0.002987013 0.01 0.9710144928 0.050660793 7.5204868806 6.7684381926 5.6403651605 5.0763286444 4.834598709 4.0610629155 3.3842190963 2.9007592254 2.5381643222 2.2561460642 2.0305314578 0.24 0.0031578947 0.01 0.9861111111 0.0508849558 7.1281992376 6.4153793139 5.3461494282 4.8115344854 4.5824137956 3.8492275883 3.2076896569 2.7494482774 2.4057672427 2.1384597713 1.9246137942 0.25 0.0033333333 0.01 1 0.0511111111 6.7780198499 6.1002178649 5.0835148874 4.5751633987 4.3572984749 3.660130719 3.0501089325 2.614379085 2.2875816993 2.033405955 1.8300653595 0.26 0.0035135135 0.01 1 0.0513392857 6.5464219876 5.8917797888 4.9098164907 4.4188348416 4.2084141349 3.5350678733 2.9458898944 2.5250484809 2.2094174208 1.9639265963 1.7675339367 0.0035 3 0.27 0.0035 0.009462963 1 0.0515695067 6.3322308015 5.6990077213 4.7491731011 4.274255791 4.070719801 3.4194046328 2.8495038607 2.4424318806 2.1371278955 1.8996692404 1.7097023164 0.28 0.0035 0.009 1 0.0518018018 6.133584565 5.5202261085 4.6001884237 4.1401695813 3.9430186489 3.3121356651 2.7601130542 2.3658111893 2.0700847907 1.8400753695 1.6560678325 0.29 0.0035 0.0085689655 1 0.0520361991 5.9488783985 5.3539905586 4.4616587989 4.015492919 3.8242789704 3.2123943352 2.6769952793 2.2945673823 2.0077464595 1.7846635195 1.6061971676 0.3 0.0035 0.0081666667 1 0.0522727273 5.776721463 5.1990493167 4.3325410972 3.8992869875 3.7136066548 3.11942959 2.5995246583 2.2281639929 1.9496434938 1.7330164389 1.559714795 0.31 0.0035 0.0077903226 1 0.0525114155 5.6159024386 5.0543121948 4.211926829 3.7907341461 3.6102229963 3.0325873169 2.5271560974 2.1661337978 1.895367073 1.6847707316 1.5162936584 0.32 0.0035 0.0074375 1 0.0527522936 5.4653614759 4.9188253283 4.0990211069 3.6891189962 3.5134466631 2.951295197 2.4594126641 2.1080679978 1.8445594981 1.6396084428 1.4756475985 0.33 0.0035 0.0071060606 1 0.0529953917 5.324167247 4.7917505223 3.9931254353 3.5938128917 3.4226789445 2.8750503134 2.3958752612 2.0536073667 1.7969064459 1.5972501741 1.4375251567 0.34 0.0035 0.0067941176 1 0.0532407407 5.1914980468 4.6723482421 3.8936235351 3.5042611816 3.3373916015 2.8034089453 2.3361741211 2.0024349609 1.7521305908 1.557449414 1.4017044726 0.35 0.0035 0.0065 1 0.0534883721 5.0666261337 4.5599635203 3.7999696002 3.4199726402 3.2571168002 2.7359781122 2.2799817601 1.9542700801 1.7099863201 1.5199878401 1.3679890561 0.36 0.0035 0.0062222222 1 0.0537383178 4.9489046801 4.4540142121 3.7116785101 3.3405106591 3.1814387229 2.6724085273 2.2270071061 1.9088632338 1.6702553295 1.484671404 1.3362042636 0.37 0.0035 0.0059594595 1 0.0539906103 4.83775684 4.353981156 3.62831763 3.265485867 3.10998654 2.6123886936 2.176990578 1.865991924 1.6327429335 1.451327052 1.3061943468 0.38 0.0035 0.0057105263 1 0.054245283 4.7326665412 4.2593998871 3.5494999059 3.1945499153 3.0424284908 2.5556399322 2.1296999435 1.8254570945 1.5972749576 1.4197999624 1.2778199661 0.39 0.0035 0.005474359 1 0.0545023697 4.6331706958 4.1698536262 3.4748780219 3.1273902197 2.9784668759 2.5019121757 2.0849268131 1.7870801255 1.5636951098 1.3899512087 1.2509560879 0.4 0.0035 0.00525 1 0.0547619048 4.5388525781 4.0849673203 3.4041394336 3.0637254902 2.9178338002 2.4509803922 2.0424836601 1.7507002801 1.5318627451 1.3616557734 1.2254901961 0.41 0.0035 0.0050365854 1 0.0550239234 4.4493361718 4.0044025546 3.3370021288 3.0033019159 2.860287539 2.4026415327 2.0022012773 1.7161725234 1.501650958 1.3348008515 1.2013207664 0.42 0.0035 0.0048333333 1 0.0552884615 4.3642813251 3.9278531926 3.2732109938 2.9458898944 2.8056094233 2.3567119155 1.9639265963 1.683365654 1.4729449472 1.3092843975 1.1783559578 0.43 0.0035 0.0046395349 1 0.0555555556 4.2833795816 3.8550416234 3.2125346862 2.8912812176 2.7536011596 2.3130249741 1.9275208117 1.6521606958 1.4456406088 1.2850138745 1.156512487 0.44 0.0035 0.0044545455 1 0.0558252427 4.2063505799 3.7857155219 3.1547629349 2.8392866414 2.7040825156 2.2714293131 1.8928577609 1.6224495094 1.4196433207 1.261905174 1.1357146566 0.45 0.0035 0.0042777778 1 0.056097561 4.1329389329 3.7196450396 3.0997041997 2.7897337797 2.656889314 2.2317870238 1.8598225198 1.5941335884 1.3948668898 1.2398816799 1.1158935119 0.46 0.0035 0.0041086957 1 0.056372549 4.0629115149 3.6566203634 3.0471836362 2.7424652726 2.6118716881 2.193972218 1.8283101817 1.5671230129 1.3712326363 1.2188734545 1.096986109 0.47 0.0035 0.0039468085 1 0.0566502463 3.9960550944 3.596449585 2.9970413208 2.6973371887 2.5688925607 2.157869751 1.7982247925 1.5413355364 1.3486685944 1.1988165283 1.0789348755 0.48 0.0035 0.0037916667 1 0.0569306931 3.9321742632 3.5389568369 2.9491306974 2.6542176276 2.527826312 2.1233741021 1.7694784184 1.5166957872 1.3271088138 1.179652279 1.0616870511 0.49 0.0035 0.0036428571 1 0.0572139303 3.8710896188 3.4839806569 2.9033172141 2.6129854927 2.4885576121 2.0903883942 1.7419903285 1.4931345673 1.3064927464 1.1613268856 1.0451941971 0.5 0.0035 0.0035 1 0.0575 3.8126361656 3.431372549 2.8594771242 2.5735294118 2.4509803922 2.0588235294 1.7156862745 1.4705882353 1.2867647059 1.1437908497 1.0294117647 0.51 0.0035 0.0033627451 1 0.0577889447 3.7566619032 3.3809957129 2.8174964274 2.5357467847 2.4149969378 2.0285974277 1.6904978564 1.4489981627 1.2678733923 1.126998571 1.0142987139 0.52 0.0035 0.0032307692 1 0.0580808081 3.7030265788 3.332723921 2.7772699341 2.4995429407 2.3805170864 1.9996343526 1.6663619605 1.4283102518 1.2497714704 1.1109079737 0.9998171763 0.53 0.0035 0.0031037736 1 0.0583756345 3.65160058 3.286440522 2.738700435 2.4648303915 2.3474575157 1.9718643132 1.643220261 1.4084745094 1.2324151957 1.095480174 0.9859321566 0.54 0.0035 0.0029814815 1 0.0586734694 3.6022639508 3.2420375558 2.7016979631 2.4315281668 2.3157411113 1.9452225335 1.6210187779 1.3894446668 1.2157640834 1.0806791853 0.9726112667 0.55 0.0035 0.0028636364 1 0.058974359 3.5549055157 3.1994149641 2.6661791368 2.3995612231 2.2852964029 1.9196489785 1.5997074821 1.3711778418 1.1997806115 1.0664716547 0.9598244892 0.56 0.0035 0.00275 1 0.0592783505 3.5094220964 3.1584798868 2.6320665723 2.3688599151 2.256057062 1.8950879321 1.5792399434 1.3536342372 1.1844299576 1.0528266289 0.947543966 0.57 0.0035 0.0026403509 1 0.0595854922 3.4657178125 3.1191460313 2.5992883594 2.3393595235 2.2279614509 1.8714876188 1.5595730156 1.3367768706 1.1696797617 1.0397153438 0.9357438094 0.58 0.0035 0.0025344828 1 0.0598958333 3.4237034533 3.081333108 2.56777759 2.310999831 2.20095222 1.8487998648 1.540666554 1.320571332 1.1554999155 1.027111036 0.9243999324 0.59 0.0035 0.0024322034 1 0.0602094241 3.3832959141 3.0449663227 2.5374719356 2.283724742 2.1749759448 1.8269797936 1.5224831613 1.3049855669 1.141862371 1.0149887742 0.9134898968 0.6 0.0035 0.0023333333 1 0.0605263158 3.3444176891 3.0099759202 2.5083132668 2.2574819401 2.1499828001 1.8059855521 1.5049879601 1.2899896801 1.1287409701 1.0033253067 0.9029927761 0.61 0.0035 0.0022377049 1 0.0608465608 3.3069964139 2.9762967725 2.4802473104 2.2322225794 2.1259262661 1.7857780635 1.4881483863 1.2755557596 1.1161112897 0.9920989242 0.8928890318 0.62 0.0035 0.0021451613 1 0.0611702128 3.2709644523 2.9438680071 2.4532233392 2.2079010053 2.1027628622 1.7663208042 1.4719340035 1.2616577173 1.1039505026 0.9812893357 0.8831604021 0.63 0.0035 0.0020555556 1 0.0614973262 3.2362585227 2.9126326704 2.427193892 2.1844745028 2.0804519074 1.7475796023 1.4563163352 1.2482711445 1.0922372514 0.9708775568 0.8737898011 0.64 0.0035 0.00196875 1 0.061827957 3.2028193595 2.8825374236 2.4021145196 2.1619030677 2.0589553026 1.7295224541 1.4412687118 1.2353731815 1.0809515338 0.9608458079 0.8647612271 0.65 0.0035 0.0018846154 1 0.0621621622 3.1705914059 2.8535322653 2.3779435544 2.140149199 2.0382373324 1.7121193592 1.4267661326 1.2229423994 1.0700745995 0.9511774218 0.8560596796 0.66 0.0035 0.0018030303 1 0.0625 3.1395225342 2.8255702808 2.3546419007 2.1191777106 2.0182644863 1.6953421685 1.4127851404 1.2109586918 1.0595888553 0.9418567603 0.8476710842 0.67 0.0035 0.0017238806 1 0.0628415301 3.1095637922 2.798607413 2.3321728441 2.0989555597 1.999005295 1.6791644478 1.3993037065 1.199403177 1.0494777799 0.9328691377 0.8395822239 0.68 0.0035 0.0016470588 1 0.0631868132 3.0806691706 2.7726022536 2.310501878 2.0794516902 1.9804301811 1.6635613521 1.3863011268 1.1882581087 1.0397258451 0.9242007512 0.8317806761 0.69 0.0035 0.0015724638 1 0.0635359116 3.0527953924 2.7475158532 2.2895965443 2.0606368899 1.9625113237 1.6485095119 1.3737579266 1.1775067942 1.0303184449 0.9158386177 0.8242547559 0.7 0.0035 0.0015 1 0.0638888889 3.0259017187 2.7233115468 2.269426289 2.0424836601 1.9452225335 1.6339869281 1.3616557734 1.1671335201 1.0212418301 0.9077705156 0.8169934641 0.71 0.0035 0.0014295775 1 0.0642458101 2.9999497723 2.699954795 2.2499623292 2.0249660963 1.9285391393 1.619972877 1.3499773975 1.1571234836 1.0124830481 0.8999849317 0.8099864385 0.72 0.0035 0.0013611111 1 0.0646067416 2.9749033751 2.6774130376 2.2311775314 2.0080597782 1.912437884 1.6064478226 1.3387065188 1.1474627304 1.0040298891 0.8924710125 0.8032239113 0.73 0.0035 0.0012945205 1 0.0649717514 2.9507284 2.65565556 2.2130463 1.99174167 1.8968968285 1.593393336 1.32782778 1.1381380971 0.995870835 0.88521852 0.796696668 0.74 0.0035 0.0012297297 1 0.0653409091 2.9273926333 2.6346533699 2.195544475 1.9759900275 1.8818952642 1.580792022 1.317326685 1.1291371585 0.9879950137 0.87821779 0.790396011 0.75 0.0035 0.0011666667 1 0.0657142857 2.90486565 2.614379085 2.1786492375 1.9607843137 1.8674136321 1.568627451 1.3071895425 1.1204481793 0.9803921569 0.871459695 0.7843137255 0.76 0.0035 0.0011052632 1 0.066091954 2.8831186975 2.5948068278 2.1623390231 1.9461051208 1.8534334484 1.5568840967 1.2974034139 1.112060069 0.9730525604 0.8649356093 0.7784420483 0.77 0.0035 0.0010454545 1 0.0664739884 2.8621245894 2.5759121305 2.1465934421 1.9319340979 1.8399372361 1.5455472783 1.2879560652 1.1039623416 0.9659670489 0.8586373768 0.7727736391 0.0035 4 0.78 0.0035 0.0009871795 1 0.0668604651 2.841857607 2.5576718463 2.1313932053 1.9182538847 1.8269084617 1.5346031078 1.2788359232 1.096145077 0.9591269424 0.8525572821 0.7673015539 0.79 0.0035 0.0009303797 1 0.067251462 2.8222934085 2.5400640677 2.1167200564 1.9050480508 1.8143314769 1.5240384406 1.2700320338 1.0885988861 0.9525240254 0.8466880226 0.7620192203 0.8 0.0035 0.000875 1 0.0676470588 2.8034089453 2.5230680507 2.102556709 1.8923010381 1.8021914648 1.5138408304 1.2615340254 1.0813148789 0.946150519 0.8410226836 0.7569204152 0.81 0.0035 0.0008209877 1 0.0680473373 2.7851823841 2.5066641457 2.0888867881 1.8799981093 1.7904743898 1.5039984874 1.2533320728 1.0742846339 0.9399990546 0.8355547152 0.7519992437 0.82 0.0035 0.0007682927 1 0.068452381 2.7675930354 2.4908337319 2.0756947766 1.8681252989 1.7791669513 1.4945002391 1.2454168659 1.0675001708 0.9340626495 0.8302779106 0.7472501196 0.83 0.0035 0.0007168675 1 0.0688622754 2.7506212868 2.4755591581 2.0629659651 1.8566693686 1.7682565415 1.4853354949 1.237779579 1.0609539249 0.9283346843 0.825186386 0.7426677474 0.84 0.0035 0.0006666667 1 0.0692771084 2.734248541 2.4608236869 2.0506864058 1.8456177652 1.7577312049 1.4764942121 1.2304118435 1.054638723 0.9228088826 0.8202745623 0.7382471061 0.85 0.0035 0.0006176471 1 0.0696969697 2.7184571591 2.4466114432 2.0388428693 1.8349585824 1.7475796023 1.4679668659 1.2233057216 1.0485477614 0.9174792912 0.8155371477 0.7339834329 0.86 0.0035 0.0005697674 1 0.0701219512 2.7032304067 2.432907366 2.027422805 1.8246805245 1.7377909757 1.4597444196 1.216453683 1.0426745854 0.9123402623 0.810969122 0.7298722098 0.87 0.0035 0.0005229885 1 0.0705521472 2.688552405 2.4196971645 2.0164143038 1.8147728734 1.7283551175 1.4518182987 1.2098485823 1.0370130705 0.9073864367 0.8065657215 0.7259091494 0.88 0.0035 0.0004772727 1 0.0709876543 2.6744080847 2.4069672762 2.0058060635 1.8052254572 1.7192623402 1.4441803657 1.2034836381 1.0315574041 0.9026127286 0.8023224254 0.7220901829 0.89 0.0035 0.0004325843 1 0.0714285714 2.660783143 2.3947048287 1.9955873572 1.7960286215 1.7105034491 1.4368228972 1.1973524143 1.0263020694 0.8980143108 0.7982349429 0.7184114486 0.9 0.0035 0.0003888889 1 0.071875 2.6476640039 2.3828976035 1.9857480029 1.7871732026 1.7020697168 1.4297385621 1.1914488017 1.0212418301 0.8935866013 0.7942992012 0.714869281 0.91 0.0035 0.0003461538 1 0.072327044 2.6350377812 2.3715340031 1.9762783359 1.7786505023 1.6939528593 1.4229204018 1.1857670015 1.0163717156 0.8893252511 0.7905113344 0.7114602009 0.92 0.0035 0.0003043478 1 0.0727848101 2.6228922438 2.3606030194 1.9671691828 1.7704522646 1.6861450139 1.4163618116 1.1803015097 1.0116870083 0.8852261323 0.7868676731 0.7081809058 0.93 0.0035 0.0002634409 1 0.0732484076 2.6112157836 2.3500942052 1.9584118377 1.7625706539 1.678638718 1.4100565231 1.1750471026 1.0071832308 0.881285327 0.7833647351 0.7050282616 0.94 0.0035 0.0002234043 1 0.0737179487 2.5999973851 2.3399976466 1.9499980389 1.754998235 1.6714268905 1.403998588 1.1699988233 1.0028561343 0.8774991175 0.7799992155 0.701999294 0.95 0.0035 0.0001842105 1 0.0741935484 2.589226598 2.3303039382 1.9419199485 1.7477279537 1.664502813 1.3981823629 1.1651519691 0.9987016878 0.8738639768 0.7767679794 0.6990911815 0.96 0.0035 0.0001458333 1 0.0746753247 2.5788935103 2.3210041592 1.9341701327 1.7407531194 1.6578601137 1.3926024955 1.1605020796 0.9947160682 0.8703765597 0.7736680531 0.6963012478 0.97 0.0035 0.0001082474 1 0.0751633987 2.5689887242 2.3120898518 1.9267415431 1.7340673888 1.6514927513 1.3872539111 1.1560449259 0.9908956508 0.8670336944 0.7706966173 0.6936269555 0.98 0.0035 0.0000714286 1 0.0756578947 2.5595033335 2.3035530001 1.9196275001 1.7276647501 1.6453950001 1.3821318001 1.1517765001 0.9872370001 0.8638323751 0.767851 0.6910659 0.99 0.0035 0.0000353535 1 0.0761589404 2.550428902 2.2953860118 1.9128216765 1.7215395088 1.639561437 1.3772316071 1.1476930059 0.9837368622 0.8607697544 0.7651286706 0.6886158035 1 0.0035 0 1 0.0766666667 2.5417574437 2.2875816993 1.9063180828 1.7156862745 1.6339869281 1.3725490196 1.1437908497 0.9803921569 0.8578431373 0.7625272331 0.6862745098 50 - A Dimensionamento de seção retangular - Aço CA 50-A 50 fyk (MPa) = 500 0.63 fck (MPa) As unidades de Ks e Kc estão em KN e cm Módulo de elasticidade (MPa) = 210000 13.5 15 18 20 21 25 30 35 40 45 50 Domínio Kx Ks Kc 0.01 2 0.01 0.0001010101 0.01 0.0620684964 0.0230923695 2466.9184392688 2220.2265953419 1850.1888294516 1665.1699465064 1585.8761395299 1332.1359572051 1110.1132976709 951.5256837179 832.5849732532 740.0755317806 666.0679786026 0.02 0.0002040816 0.01 0.1232125503 0.0231854839 623.8622966982 561.4760670284 467.8967225236 421.1070502713 401.0543335917 336.885640217 280.7380335142 240.632600155 210.5535251356 187.1586890095 168.4428201085 0.03 0.0003092784 0.01 0.1833351047 0.0232793522 280.6477238508 252.5829514657 210.4857928881 189.4372135993 180.4163939041 151.5497708794 126.2914757329 108.2498363424 94.7186067996 84.1943171552 75.7748854397 0.04 0.0004166667 0.01 0.2423321759 0.0233739837 159.8892196121 143.9002976509 119.9169147091 107.9252232382 102.7859268935 86.3401785905 71.9501488255 61.6715561361 53.9626116191 47.9667658836 43.1700892953 0.05 0.0005263158 0.01 0.3000923361 0.0234693878 103.7132801839 93.3419521655 77.7849601379 70.0064641241 66.6728229753 56.0051712993 46.6709760827 40.0036937852 35.0032320621 31.1139840552 28.0025856496 0.06 0.0006382979 0.01 0.3564961521 0.0235655738 73.0515507829 65.7463957046 54.7886630872 49.3097967785 46.9617112176 39.4478374228 32.8731978523 28.1770267305 24.6548983892 21.9154652349 19.7239187114 0.07 0.0007526882 0.01 0.4114155779 0.0236625514 54.4804037786 49.0323634007 40.8603028339 36.7742725506 35.0231167148 29.4194180404 24.5161817004 21.0138700289 18.3871362753 16.3441211336 14.7097090202 0.08 0.0008695652 0.01 0.4647132955 0.0237603306 42.3774589913 38.1397130921 31.7830942434 28.6047848191 27.2426522087 22.8838278553 19.0698565461 16.3455913252 14.3023924095 12.7132376974 11.4419139276 0.09 0.000989011 0.01 0.5162419998 0.0238589212 34.0496362483 30.6446726235 25.5372271862 22.9835044676 21.8890518739 18.3868035741 15.3223363117 13.1334311243 11.4917522338 10.2148908745 9.193401787 0.1 0.0011111111 0.01 0.5658436214 0.0239583333 28.0748663102 25.2673796791 21.0561497326 18.9505347594 18.0481283422 15.1604278075 12.6336898396 10.8288770053 9.4752673797 8.422459893 7.5802139037 0.11 0.0012359551 0.01 0.6133484829 0.0240585774 23.6443555624 21.2799200062 17.7332666718 15.9599400046 15.1999428616 12.7679520037 10.6399600031 9.1199657169 7.9799700023 7.0933066687 6.3839760019 0.12 0.0013636364 0.01 0.6585743802 0.0241596639 20.2704004409 18.2433603968 15.2028003307 13.6825202976 13.030971712 10.9460162381 9.1216801984 7.8185830272 6.8412601488 6.0811201323 5.473008119 0.13 0.0014942529 0.01 0.7013255824 0.0242616034 17.6446880153 15.8802192137 13.2335160115 11.9101644103 11.3430137241 9.5281315282 7.9401096069 6.8058082345 5.9550822052 5.2934064046 4.7640657641 0.14 0.001627907 0.01 0.7413917433 0.0243644068 15.5645862143 14.0081275929 11.6734396608 10.5060956947 10.0058054235 8.4048765557 7.0040637965 6.0034832541 5.2530478473 4.6693758643 4.2024382779 0.15 0.0017647059 0.01 0.7785467128 0.0244680851 13.8925371392 12.5032834253 10.4194028544 9.377462569 8.9309167323 7.5019700552 6.2516417126 5.3585500394 4.6887312845 4.1677611418 3.7509850276 0.16 0.0019047619 0.01 0.8125472411 0.0245726496 12.532592047 11.2793328423 9.3994440352 8.4594996317 8.0566663159 6.7675997054 5.6396664211 4.8339997895 4.2297498158 3.7597776141 3.3837998527 0.17 0.0020481928 0.01 0.8431372549 0.0246781116 11.4162176831 10.2745959148 8.5621632624 7.7059469361 7.338997082 6.1647575489 5.1372979574 4.4033982492 3.8529734681 3.4248653049 3.0823787744 0.18 0.002195122 0.01 0.8703703704 0.0247844828 10.4896446228 9.4406801605 7.8672334671 7.0805101204 6.7433429718 5.6644080963 4.7203400803 4.0460057831 3.5402550602 3.1468933868 2.8322040482 0.19 0.002345679 0.01 0.8947368421 0.0248917749 9.7087755681 8.7378980113 7.281581676 6.5534235084 6.2413557223 5.2427388068 4.3689490056 3.7448134334 3.2767117542 2.9126326704 2.6213694034 0.2 0.0025 0.01 0.9166666667 0.025 9.0418248986 8.1376424087 6.781368674 6.1032318066 5.8126017205 4.8825854452 4.0688212044 3.4875610323 3.0516159033 2.7125474696 2.4412927226 0.21 0.0026582278 0.01 0.9365079365 0.0251091703 8.4656268942 7.6190642048 6.3492201706 5.7142981536 5.4421887177 4.5714385229 3.8095321024 3.2653132306 2.8571490768 2.5396880683 2.2857192614 0.22 0.0028205128 0.01 0.9545454545 0.0252192982 7.9628992598 7.1666093338 5.9721744448 5.3749570003 5.119006667 4.2999656003 3.5833046669 3.0714040002 2.6874785002 2.3888697779 2.1499828001 0.23 0.002987013 0.01 0.9710144928 0.0253303965 7.5204868806 6.7684381926 5.6403651605 5.0763286444 4.834598709 4.0610629155 3.3842190963 2.9007592254 2.5381643222 2.2561460642 2.0305314578 0.24 0.0031578947 0.01 0.9861111111 0.0254424779 7.1281992376 6.4153793139 5.3461494282 4.8115344854 4.5824137956 3.8492275883 3.2076896569 2.7494482774 2.4057672427 2.1384597713 1.9246137942 0.25 0.0033333333 0.01 1 0.0255555556 6.7780198499 6.1002178649 5.0835148874 4.5751633987 4.3572984749 3.660130719 3.0501089325 2.614379085 2.2875816993 2.033405955 1.8300653595 0.26 0.0035135135 0.01 1 0.0256696429 6.5464219876 5.8917797888 4.9098164907 4.4188348416 4.2084141349 3.5350678733 2.9458898944 2.5250484809 2.2094174208 1.9639265963 1.7675339367 0.0035 3 0.27 0.0035 0.009462963 1 0.0257847534 6.3322308015 5.6990077213 4.7491731011 4.274255791 4.070719801 3.4194046328 2.8495038607 2.4424318806 2.1371278955 1.8996692404 1.7097023164 0.28 0.0035 0.009 1 0.0259009009 6.133584565 5.5202261085 4.6001884237 4.1401695813 3.9430186489 3.3121356651 2.7601130542 2.3658111893 2.0700847907 1.8400753695 1.6560678325 0.29 0.0035 0.0085689655 1 0.0260180995 5.9488783985 5.3539905586 4.4616587989 4.015492919 3.8242789704 3.2123943352 2.6769952793 2.2945673823 2.0077464595 1.7846635195 1.6061971676 0.3 0.0035 0.0081666667 1 0.0261363636 5.776721463 5.1990493167 4.3325410972 3.8992869875 3.7136066548 3.11942959 2.5995246583 2.2281639929 1.9496434938 1.7330164389 1.559714795 0.31 0.0035 0.0077903226 1 0.0262557078 5.6159024386 5.0543121948 4.211926829 3.7907341461 3.6102229963 3.0325873169 2.5271560974 2.1661337978 1.895367073 1.6847707316 1.5162936584 0.32 0.0035 0.0074375 1 0.0263761468 5.4653614759 4.9188253283 4.0990211069 3.6891189962 3.5134466631 2.951295197 2.4594126641 2.1080679978 1.8445594981 1.6396084428 1.4756475985 0.33 0.0035 0.0071060606 1 0.0264976959 5.324167247 4.7917505223 3.9931254353 3.5938128917 3.4226789445 2.8750503134 2.3958752612 2.0536073667 1.7969064459 1.5972501741 1.4375251567 0.34 0.0035 0.0067941176 1 0.0266203704 5.1914980468 4.6723482421 3.8936235351 3.5042611816 3.3373916015 2.8034089453 2.3361741211 2.0024349609 1.7521305908 1.557449414 1.4017044726 0.35 0.0035 0.0065 1 0.026744186 5.0666261337 4.5599635203 3.7999696002 3.4199726402 3.2571168002 2.7359781122 2.2799817601 1.9542700801 1.7099863201 1.5199878401 1.3679890561 0.36 0.0035 0.0062222222 1 0.0268691589 4.9489046801 4.4540142121 3.7116785101 3.3405106591 3.1814387229 2.6724085273 2.2270071061 1.9088632338 1.6702553295 1.484671404 1.3362042636 0.37 0.0035 0.0059594595 1 0.0269953052 4.83775684 4.353981156 3.62831763 3.265485867 3.10998654 2.6123886936 2.176990578 1.865991924 1.6327429335 1.451327052 1.3061943468 0.38 0.0035 0.0057105263 1 0.0271226415 4.7326665412 4.2593998871 3.5494999059 3.1945499153 3.0424284908 2.5556399322 2.1296999435 1.8254570945 1.5972749576 1.4197999624 1.2778199661 0.39 0.0035 0.005474359 1 0.0272511848 4.6331706958 4.1698536262 3.4748780219 3.1273902197 2.9784668759 2.5019121757 2.0849268131 1.7870801255 1.5636951098 1.3899512087 1.2509560879 0.4 0.0035 0.00525 1 0.0273809524 4.5388525781 4.0849673203 3.4041394336 3.0637254902 2.9178338002 2.4509803922 2.0424836601 1.7507002801 1.5318627451 1.3616557734 1.2254901961 0.41 0.0035 0.0050365854 1 0.0275119617 4.4493361718 4.0044025546 3.3370021288 3.0033019159 2.860287539 2.4026415327 2.0022012773 1.7161725234 1.501650958 1.3348008515 1.2013207664 0.42 0.0035 0.0048333333 1 0.0276442308 4.3642813251 3.9278531926 3.2732109938 2.9458898944 2.8056094233 2.3567119155 1.9639265963 1.683365654 1.4729449472 1.3092843975 1.1783559578 0.43 0.0035 0.0046395349 1 0.0277777778 4.2833795816 3.8550416234 3.2125346862 2.8912812176 2.7536011596 2.3130249741 1.9275208117 1.6521606958 1.4456406088 1.2850138745 1.156512487 0.44 0.0035 0.0044545455 1 0.0279126214 4.2063505799 3.7857155219 3.1547629349 2.8392866414 2.7040825156 2.2714293131 1.8928577609 1.6224495094 1.4196433207 1.261905174 1.1357146566 0.45 0.0035 0.0042777778 1 0.0280487805 4.1329389329 3.7196450396 3.0997041997 2.7897337797 2.656889314 2.2317870238 1.8598225198 1.5941335884 1.3948668898 1.2398816799 1.1158935119 0.46 0.0035 0.0041086957 1 0.0281862745 4.0629115149 3.6566203634 3.0471836362 2.7424652726 2.6118716881 2.193972218 1.8283101817 1.5671230129 1.3712326363 1.2188734545 1.096986109 0.47 0.0035 0.0039468085 1 0.0283251232 3.9960550944 3.596449585 2.9970413208 2.6973371887 2.5688925607 2.157869751 1.7982247925 1.5413355364 1.3486685944 1.1988165283 1.0789348755 0.48 0.0035 0.0037916667 1 0.0284653465 3.9321742632 3.5389568369 2.9491306974 2.6542176276 2.527826312 2.1233741021 1.7694784184 1.5166957872 1.3271088138 1.179652279 1.0616870511 0.49 0.0035 0.0036428571 1 0.0286069652 3.8710896188 3.4839806569 2.9033172141 2.6129854927 2.4885576121 2.0903883942 1.7419903285 1.4931345673 1.3064927464 1.1613268856 1.0451941971 0.5 0.0035 0.0035 1 0.02875 3.8126361656 3.431372549 2.8594771242 2.5735294118 2.4509803922 2.0588235294 1.7156862745 1.4705882353 1.2867647059 1.1437908497 1.0294117647 0.51 0.0035 0.0033627451 1 0.0288944724 3.7566619032 3.3809957129 2.8174964274 2.5357467847 2.4149969378 2.0285974277 1.6904978564 1.4489981627 1.2678733923 1.126998571 1.0142987139 0.52 0.0035 0.0032307692 1 0.029040404 3.7030265788 3.332723921 2.7772699341 2.4995429407 2.3805170864 1.9996343526 1.6663619605 1.4283102518 1.2497714704 1.1109079737 0.9998171763 0.53 0.0035 0.0031037736 1 0.0291878173 3.65160058 3.286440522 2.738700435 2.4648303915 2.3474575157 1.9718643132 1.643220261 1.4084745094 1.2324151957 1.095480174 0.9859321566 0.54 0.0035 0.0029814815 1 0.0293367347 3.6022639508 3.2420375558 2.7016979631 2.4315281668 2.3157411113 1.9452225335 1.6210187779 1.3894446668 1.2157640834 1.0806791853 0.9726112667 0.55 0.0035 0.0028636364 1 0.0294871795 3.5549055157 3.1994149641 2.6661791368 2.3995612231 2.2852964029 1.9196489785 1.5997074821 1.3711778418 1.1997806115 1.0664716547 0.9598244892 0.56 0.0035 0.00275 1 0.0296391753 3.5094220964 3.1584798868 2.6320665723 2.3688599151 2.256057062 1.8950879321 1.5792399434 1.3536342372 1.1844299576 1.0528266289 0.947543966 0.57 0.0035 0.0026403509 1 0.0297927461 3.4657178125 3.1191460313 2.5992883594 2.3393595235 2.2279614509 1.8714876188 1.5595730156 1.3367768706 1.1696797617 1.0397153438 0.9357438094 0.58 0.0035 0.0025344828 1 0.0299479167 3.4237034533 3.081333108 2.56777759 2.310999831 2.20095222 1.8487998648 1.540666554 1.320571332 1.1554999155 1.027111036 0.9243999324 0.59 0.0035 0.0024322034 1 0.030104712 3.3832959141 3.0449663227 2.5374719356 2.283724742 2.1749759448 1.8269797936 1.5224831613 1.3049855669 1.141862371 1.0149887742 0.9134898968 0.6 0.0035 0.0023333333 1 0.0302631579 3.3444176891 3.0099759202 2.5083132668 2.2574819401 2.1499828001 1.8059855521 1.5049879601 1.2899896801 1.1287409701 1.0033253067 0.9029927761 0.61 0.0035 0.0022377049 1 0.0304232804 3.3069964139 2.9762967725 2.4802473104 2.2322225794 2.1259262661 1.7857780635 1.4881483863 1.2755557596 1.1161112897 0.9920989242 0.8928890318 0.62 0.0035 0.0021451613 1 0.0305851064 3.2709644523 2.9438680071 2.4532233392 2.2079010053 2.1027628622 1.7663208042 1.4719340035 1.2616577173 1.1039505026 0.9812893357 0.8831604021 0.63 0.0035 0.0020555556 1 0.0307486631 3.2362585227 2.9126326704 2.427193892 2.1844745028 2.0804519074 1.7475796023 1.4563163352 1.2482711445 1.0922372514 0.9708775568 0.8737898011 0.0035 4 0.64 0.0035 0.00196875 1 0.0309139785 3.2028193595 2.8825374236 2.4021145196 2.1619030677 2.0589553026 1.7295224541 1.4412687118 1.2353731815 1.0809515338 0.9608458079 0.8647612271 0.65 0.0035 0.0018846154 1 0.0310810811 3.1705914059 2.8535322653 2.3779435544 2.140149199 2.0382373324 1.7121193592 1.4267661326 1.2229423994 1.0700745995 0.9511774218 0.8560596796 0.66 0.0035 0.0018030303 1 0.03125 3.1395225342 2.8255702808 2.3546419007 2.1191777106 2.0182644863 1.6953421685 1.4127851404 1.2109586918 1.0595888553 0.9418567603 0.8476710842 0.67 0.0035 0.0017238806 1 0.031420765 3.1095637922 2.798607413 2.3321728441 2.0989555597 1.999005295 1.6791644478 1.3993037065 1.199403177 1.0494777799 0.9328691377 0.8395822239 0.68 0.0035 0.0016470588 1 0.0315934066 3.0806691706 2.7726022536 2.310501878 2.0794516902 1.9804301811 1.6635613521 1.3863011268 1.1882581087 1.0397258451 0.9242007512 0.8317806761 0.69 0.0035 0.0015724638 1 0.0317679558 3.0527953924 2.7475158532 2.2895965443 2.0606368899 1.9625113237 1.6485095119 1.3737579266 1.1775067942 1.0303184449 0.9158386177 0.8242547559 0.7 0.0035 0.0015 1 0.0319444444 3.0259017187 2.7233115468 2.269426289 2.0424836601 1.9452225335 1.6339869281 1.3616557734 1.1671335201 1.0212418301 0.9077705156 0.8169934641 0.71 0.0035 0.0014295775 1 0.032122905 2.9999497723 2.699954795 2.2499623292 2.0249660963 1.9285391393 1.619972877 1.3499773975 1.1571234836 1.0124830481 0.8999849317 0.8099864385 0.72 0.0035 0.0013611111 1 0.0323033708 2.9749033751 2.6774130376 2.2311775314 2.0080597782 1.912437884 1.6064478226 1.3387065188 1.1474627304 1.0040298891 0.8924710125 0.8032239113 0.73 0.0035 0.0012945205 1 0.0324858757 2.9507284 2.65565556 2.2130463 1.99174167 1.8968968285 1.593393336 1.32782778 1.1381380971 0.995870835 0.88521852 0.796696668 0.74 0.0035 0.0012297297 1 0.0326704545 2.9273926333 2.6346533699 2.195544475 1.9759900275 1.8818952642 1.580792022 1.317326685 1.1291371585 0.9879950137 0.87821779 0.790396011 0.75 0.0035 0.0011666667 1 0.0328571429 2.90486565 2.614379085 2.1786492375 1.9607843137 1.8674136321 1.568627451 1.3071895425 1.1204481793 0.9803921569 0.871459695 0.7843137255 0.76 0.0035 0.0011052632 1 0.033045977 2.8831186975 2.5948068278 2.1623390231 1.9461051208 1.8534334484 1.5568840967 1.2974034139 1.112060069 0.9730525604 0.8649356093 0.7784420483 0.77 0.0035 0.0010454545 1 0.0332369942 2.8621245894 2.5759121305 2.1465934421 1.9319340979 1.8399372361 1.5455472783 1.2879560652 1.1039623416 0.9659670489 0.8586373768 0.7727736391 0.78 0.0035 0.0009871795 1 0.0334302326 2.841857607 2.5576718463 2.1313932053 1.9182538847 1.8269084617 1.5346031078 1.2788359232 1.096145077 0.9591269424 0.8525572821 0.7673015539 0.79 0.0035 0.0009303797 1 0.033625731 2.8222934085 2.5400640677 2.1167200564 1.9050480508 1.8143314769 1.5240384406 1.2700320338 1.0885988861 0.9525240254 0.8466880226 0.7620192203 0.8 0.0035 0.000875 1 0.0338235294 2.8034089453 2.5230680507 2.102556709 1.8923010381 1.8021914648 1.5138408304 1.2615340254 1.0813148789 0.946150519 0.8410226836 0.7569204152 0.81 0.0035 0.0008209877 1 0.0340236686 2.7851823841 2.5066641457 2.0888867881 1.8799981093 1.7904743898 1.5039984874 1.2533320728 1.0742846339 0.9399990546 0.8355547152 0.7519992437 0.82 0.0035 0.0007682927 1 0.0342261905 2.7675930354 2.4908337319 2.0756947766 1.8681252989 1.7791669513 1.4945002391 1.2454168659 1.0675001708 0.9340626495 0.8302779106 0.7472501196 0.83 0.0035 0.0007168675 1 0.0344311377 2.7506212868 2.4755591581 2.0629659651 1.8566693686 1.7682565415 1.4853354949 1.237779579 1.0609539249 0.9283346843 0.825186386 0.7426677474 0.84 0.0035 0.0006666667 1 0.0346385542 2.734248541 2.4608236869 2.0506864058 1.8456177652 1.7577312049 1.4764942121 1.2304118435 1.054638723 0.9228088826 0.8202745623 0.7382471061 0.85 0.0035 0.0006176471 1 0.0348484848 2.7184571591 2.4466114432 2.0388428693 1.8349585824 1.7475796023 1.4679668659 1.2233057216 1.0485477614 0.9174792912 0.8155371477 0.7339834329 0.86 0.0035 0.0005697674 1 0.0350609756 2.7032304067 2.432907366 2.027422805 1.8246805245 1.7377909757 1.4597444196 1.216453683 1.0426745854 0.9123402623 0.810969122 0.7298722098 0.87 0.0035 0.0005229885 1 0.0352760736 2.688552405 2.4196971645 2.0164143038 1.8147728734 1.7283551175 1.4518182987 1.2098485823 1.0370130705 0.9073864367 0.8065657215 0.7259091494 0.88 0.0035 0.0004772727 1 0.0354938272 2.6744080847 2.4069672762 2.0058060635 1.8052254572 1.7192623402 1.4441803657 1.2034836381 1.0315574041 0.9026127286 0.8023224254 0.7220901829 0.89 0.0035 0.0004325843 1 0.0357142857 2.660783143 2.3947048287 1.9955873572 1.7960286215 1.7105034491 1.4368228972 1.1973524143 1.0263020694 0.8980143108 0.7982349429 0.7184114486 0.9 0.0035 0.0003888889 1 0.0359375 2.6476640039 2.3828976035 1.9857480029 1.7871732026 1.7020697168 1.4297385621 1.1914488017 1.0212418301 0.8935866013 0.7942992012 0.714869281 0.91 0.0035 0.0003461538 1 0.036163522 2.6350377812 2.3715340031 1.9762783359 1.7786505023 1.6939528593 1.4229204018 1.1857670015 1.0163717156 0.8893252511 0.7905113344 0.7114602009 0.92 0.0035 0.0003043478 1 0.0363924051 2.6228922438 2.3606030194 1.9671691828 1.7704522646 1.6861450139 1.4163618116 1.1803015097 1.0116870083 0.8852261323 0.7868676731 0.7081809058 0.93 0.0035 0.0002634409 1 0.0366242038 2.6112157836 2.3500942052 1.9584118377 1.7625706539 1.678638718 1.4100565231 1.1750471026 1.0071832308 0.881285327 0.7833647351 0.7050282616 0.94 0.0035 0.0002234043 1 0.0368589744 2.5999973851 2.3399976466 1.9499980389 1.754998235 1.6714268905 1.403998588 1.1699988233 1.0028561343 0.8774991175 0.7799992155 0.701999294 0.95 0.0035 0.0001842105 1 0.0370967742 2.589226598 2.3303039382 1.9419199485 1.7477279537 1.664502813 1.3981823629 1.1651519691 0.9987016878 0.8738639768 0.7767679794 0.6990911815 0.96 0.0035 0.0001458333 1 0.0373376623 2.5788935103 2.3210041592 1.9341701327 1.7407531194 1.6578601137 1.3926024955 1.1605020796 0.9947160682 0.8703765597 0.7736680531 0.6963012478 0.97 0.0035 0.0001082474 1 0.0375816993 2.5689887242 2.3120898518 1.9267415431 1.7340673888 1.6514927513 1.3872539111 1.1560449259 0.9908956508 0.8670336944 0.7706966173 0.6936269555 0.98 0.0035 0.0000714286 1 0.0378289474 2.5595033335 2.3035530001 1.9196275001 1.7276647501 1.6453950001 1.3821318001 1.1517765001 0.9872370001 0.8638323751 0.767851 0.6910659 0.99 0.0035 0.0000353535 1 0.0380794702 2.550428902 2.2953860118 1.9128216765 1.7215395088 1.639561437 1.3772316071 1.1476930059 0.9837368622 0.8607697544 0.7651286706 0.6886158035 1 0.0035 0 1 0.0383333333 2.5417574437 2.2875816993 1.9063180828 1.7156862745 1.6339869281 1.3725490196 1.1437908497 0.9803921569 0.8578431373 0.7625272331 0.6862745098 60 - A Dimensionamento de seção retangular - Aço CA 60-A 60 fyk (MPa) = 600 0.58 fck (MPa) As unidades de Ks e Kc estão em KN e cm Módulo de elasticidade (MPa) = 210000 13.5 15 18 20 21 25 30 35 40 45 50 Domínio Kx Ks Kc 0.01 2 0.01 0.0001010101 0.01 0.0620684964 0.0192436412 2466.9184392688 2220.2265953419 1850.1888294516 1665.1699465064 1585.8761395299 1332.1359572051 1110.1132976709 951.5256837179 832.5849732532 740.0755317806 666.0679786026 0.02 0.0002040816 0.01 0.1232125503 0.0193212366 623.8622966982 561.4760670284 467.8967225236 421.1070502713 401.0543335917 336.885640217 280.7380335142 240.632600155 210.5535251356 187.1586890095 168.4428201085 0.03 0.0003092784 0.01 0.1833351047 0.0193994602 280.6477238508 252.5829514657 210.4857928881 189.4372135993 180.4163939041 151.5497708794 126.2914757329 108.2498363424 94.7186067996 84.1943171552 75.7748854397 0.04 0.0004166667 0.01 0.2423321759 0.0194783198 159.8892196121 143.9002976509 119.9169147091 107.9252232382 102.7859268935 86.3401785905 71.9501488255 61.6715561361 53.9626116191 47.9667658836 43.1700892953 0.05 0.0005263158 0.01 0.3000923361 0.0195578231 103.7132801839 93.3419521655 77.7849601379 70.0064641241 66.6728229753 56.0051712993 46.6709760827 40.0036937852 35.0032320621 31.1139840552 28.0025856496 0.06 0.0006382979 0.01 0.3564961521 0.0196379781 73.0515507829 65.7463957046 54.7886630872 49.3097967785 46.9617112176 39.4478374228 32.8731978523 28.1770267305 24.6548983892 21.9154652349 19.7239187114 0.07 0.0007526882 0.01 0.4114155779 0.0197187929 54.4804037786 49.0323634007 40.8603028339 36.7742725506 35.0231167148 29.4194180404 24.5161817004 21.0138700289 18.3871362753 16.3441211336 14.7097090202 0.08 0.0008695652 0.01 0.4647132955 0.0198002755 42.3774589913 38.1397130921 31.7830942434 28.6047848191 27.2426522087 22.8838278553 19.0698565461 16.3455913252 14.3023924095 12.7132376974 11.4419139276 0.09 0.000989011 0.01 0.5162419998 0.0198824343 34.0496362483 30.6446726235 25.5372271862 22.9835044676 21.8890518739 18.3868035741 15.3223363117 13.1334311243 11.4917522338 10.2148908745 9.193401787 0.1 0.0011111111 0.01 0.5658436214 0.0199652778 28.0748663102 25.2673796791 21.0561497326 18.9505347594 18.0481283422 15.1604278075 12.6336898396 10.8288770053 9.4752673797 8.422459893 7.5802139037 0.11 0.0012359551 0.01 0.6133484829 0.0200488145 23.6443555624 21.2799200062 17.7332666718 15.9599400046 15.1999428616 12.7679520037 10.6399600031 9.1199657169 7.9799700023 7.0933066687 6.3839760019 0.12 0.0013636364 0.01 0.6585743802 0.0201330532 20.2704004409 18.2433603968 15.2028003307 13.6825202976 13.030971712 10.9460162381 9.1216801984 7.8185830272 6.8412601488 6.0811201323 5.473008119 0.13 0.0014942529 0.01 0.7013255824 0.0202180028 17.6446880153 15.8802192137 13.2335160115 11.9101644103 11.3430137241 9.5281315282 7.9401096069 6.8058082345 5.9550822052 5.2934064046 4.7640657641 0.14 0.001627907 0.01 0.7413917433 0.0203036723 15.5645862143 14.0081275929 11.6734396608 10.5060956947 10.0058054235 8.4048765557 7.0040637965 6.0034832541 5.2530478473 4.6693758643 4.2024382779 0.15 0.0017647059 0.01 0.7785467128 0.0203900709 13.8925371392 12.5032834253 10.4194028544 9.377462569 8.9309167323 7.5019700552 6.2516417126 5.3585500394 4.6887312845 4.1677611418 3.7509850276 0.16 0.0019047619 0.01 0.8125472411 0.020477208 12.532592047 11.2793328423 9.3994440352 8.4594996317 8.0566663159 6.7675997054 5.6396664211 4.8339997895 4.2297498158 3.7597776141 3.3837998527 0.17 0.0020481928 0.01 0.8431372549 0.020565093 11.4162176831 10.2745959148 8.5621632624 7.7059469361 7.338997082 6.1647575489 5.1372979574 4.4033982492 3.8529734681 3.4248653049 3.0823787744 0.18 0.002195122 0.01 0.8703703704 0.0206537356 10.4896446228 9.4406801605 7.8672334671 7.0805101204 6.7433429718 5.6644080963 4.7203400803 4.0460057831 3.5402550602 3.1468933868 2.8322040482 0.19 0.002345679 0.01 0.8947368421 0.0207431457 9.7087755681 8.7378980113 7.281581676 6.5534235084 6.2413557223 5.2427388068 4.3689490056 3.7448134334 3.2767117542 2.9126326704 2.6213694034 0.2 0.0025 0.01 0.9166666667 0.0208333333 9.0418248986 8.1376424087 6.781368674 6.1032318066 5.8126017205 4.8825854452 4.0688212044 3.4875610323 3.0516159033 2.7125474696 2.4412927226 0.21 0.0026582278 0.01 0.9365079365 0.0209243086 8.4656268942 7.6190642048 6.3492201706 5.7142981536 5.4421887177 4.5714385229 3.8095321024 3.2653132306 2.8571490768 2.5396880683 2.2857192614 0.22 0.0028205128 0.01 0.9545454545 0.0210160819 7.9628992598 7.1666093338 5.9721744448 5.3749570003 5.119006667 4.2999656003 3.5833046669 3.0714040002 2.6874785002 2.3888697779 2.1499828001 0.23 0.002987013 0.01 0.9710144928 0.0211086637 7.5204868806 6.7684381926 5.6403651605 5.0763286444 4.834598709 4.0610629155 3.3842190963 2.9007592254 2.5381643222 2.2561460642 2.0305314578 0.24 0.0031578947 0.01 0.9861111111 0.0212020649 7.1281992376 6.4153793139 5.3461494282 4.8115344854 4.5824137956 3.8492275883 3.2076896569 2.7494482774 2.4057672427 2.1384597713 1.9246137942 0.25 0.0033333333 0.01 1 0.0212962963 6.7780198499 6.1002178649 5.0835148874 4.5751633987 4.3572984749 3.660130719 3.0501089325 2.614379085 2.2875816993 2.033405955 1.8300653595 0.26 0.0035135135 0.01 1 0.021391369 6.5464219876 5.8917797888 4.9098164907 4.4188348416 4.2084141349 3.5350678733 2.9458898944 2.5250484809 2.2094174208 1.9639265963 1.7675339367 0.0035 3 0.27 0.0035 0.009462963 1 0.0214872945 6.3322308015 5.6990077213 4.7491731011 4.274255791 4.070719801 3.4194046328 2.8495038607 2.4424318806 2.1371278955 1.8996692404 1.7097023164 0.28 0.0035 0.009 1 0.0215840841 6.133584565 5.5202261085 4.6001884237 4.1401695813 3.9430186489 3.3121356651 2.7601130542 2.3658111893 2.0700847907 1.8400753695 1.6560678325 0.29 0.0035 0.0085689655 1 0.0216817496 5.9488783985 5.3539905586 4.4616587989 4.015492919 3.8242789704 3.2123943352 2.6769952793 2.2945673823 2.0077464595 1.7846635195 1.6061971676 0.3 0.0035 0.0081666667 1 0.021780303 5.776721463 5.1990493167 4.3325410972 3.8992869875 3.7136066548 3.11942959 2.5995246583 2.2281639929 1.9496434938 1.7330164389 1.559714795 0.31 0.0035 0.0077903226 1 0.0218797565 5.6159024386 5.0543121948 4.211926829 3.7907341461 3.6102229963 3.0325873169 2.5271560974 2.1661337978 1.895367073 1.6847707316 1.5162936584 0.32 0.0035 0.0074375 1 0.0219801223 5.4653614759 4.9188253283 4.0990211069 3.6891189962 3.5134466631 2.951295197 2.4594126641 2.1080679978 1.8445594981 1.6396084428 1.4756475985 0.33 0.0035 0.0071060606 1 0.0220814132 5.324167247 4.7917505223 3.9931254353 3.5938128917 3.4226789445 2.8750503134 2.3958752612 2.0536073667 1.7969064459 1.5972501741 1.4375251567 0.34 0.0035 0.0067941176 1 0.022183642 5.1914980468 4.6723482421 3.8936235351 3.5042611816 3.3373916015 2.8034089453 2.3361741211 2.0024349609 1.7521305908 1.557449414 1.4017044726 0.35 0.0035 0.0065 1 0.0222868217 5.0666261337 4.5599635203 3.7999696002 3.4199726402 3.2571168002 2.7359781122 2.2799817601 1.9542700801 1.7099863201 1.5199878401 1.3679890561 0.36 0.0035 0.0062222222 1 0.0223909657 4.9489046801 4.4540142121 3.7116785101 3.3405106591 3.1814387229 2.6724085273 2.2270071061 1.9088632338 1.6702553295 1.484671404 1.3362042636 0.37 0.0035 0.0059594595 1 0.0224960876 4.83775684 4.353981156 3.62831763 3.265485867 3.10998654 2.6123886936 2.176990578 1.865991924 1.6327429335 1.451327052 1.3061943468 0.38 0.0035 0.0057105263 1 0.0226022013 4.7326665412 4.2593998871 3.5494999059 3.1945499153 3.0424284908 2.5556399322 2.1296999435 1.8254570945 1.5972749576 1.4197999624 1.2778199661 0.39 0.0035 0.005474359 1 0.0227093207 4.6331706958 4.1698536262 3.4748780219 3.1273902197 2.9784668759 2.5019121757 2.0849268131 1.7870801255 1.5636951098 1.3899512087 1.2509560879 0.4 0.0035 0.00525 1 0.0228174603 4.5388525781 4.0849673203 3.4041394336 3.0637254902 2.9178338002 2.4509803922 2.0424836601 1.7507002801 1.5318627451 1.3616557734 1.2254901961 0.41 0.0035 0.0050365854 1 0.0229266348 4.4493361718 4.0044025546 3.3370021288 3.0033019159 2.860287539 2.4026415327 2.0022012773 1.7161725234 1.501650958 1.3348008515 1.2013207664 0.42 0.0035 0.0048333333 1 0.023036859 4.3642813251 3.9278531926 3.2732109938 2.9458898944 2.8056094233 2.3567119155 1.9639265963 1.683365654 1.4729449472 1.3092843975 1.1783559578 0.43 0.0035 0.0046395349 1 0.0231481481 4.2833795816 3.8550416234 3.2125346862 2.8912812176 2.7536011596 2.3130249741 1.9275208117 1.6521606958 1.4456406088 1.2850138745 1.156512487 0.44 0.0035 0.0044545455 1 0.0232605178 4.2063505799 3.7857155219 3.1547629349 2.8392866414 2.7040825156 2.2714293131 1.8928577609 1.6224495094 1.4196433207 1.261905174 1.1357146566 0.45 0.0035 0.0042777778 1 0.0233739837 4.1329389329 3.7196450396 3.0997041997 2.7897337797 2.656889314 2.2317870238 1.8598225198 1.5941335884 1.3948668898 1.2398816799 1.1158935119 0.46 0.0035 0.0041086957 1 0.0234885621 4.0629115149 3.6566203634 3.0471836362 2.7424652726 2.6118716881 2.193972218 1.8283101817 1.5671230129 1.3712326363 1.2188734545 1.096986109 0.47 0.0035 0.0039468085 1 0.0236042693 3.9960550944 3.596449585 2.9970413208 2.6973371887 2.5688925607 2.157869751 1.7982247925 1.5413355364 1.3486685944 1.1988165283 1.0789348755 0.48 0.0035 0.0037916667 1 0.0237211221 3.9321742632 3.5389568369 2.9491306974 2.6542176276 2.527826312 2.1233741021 1.7694784184 1.5166957872 1.3271088138 1.179652279 1.0616870511 0.49 0.0035 0.0036428571 1 0.0238391376 3.8710896188 3.4839806569 2.9033172141 2.6129854927 2.4885576121 2.0903883942 1.7419903285 1.4931345673 1.3064927464 1.1613268856 1.0451941971 0.5 0.0035 0.0035 1 0.0239583333 3.8126361656 3.431372549 2.8594771242 2.5735294118 2.4509803922 2.0588235294 1.7156862745 1.4705882353 1.2867647059 1.1437908497 1.0294117647 0.51 0.0035 0.0033627451 1 0.024078727 3.7566619032 3.3809957129 2.8174964274 2.5357467847 2.4149969378 2.0285974277 1.6904978564 1.4489981627 1.2678733923 1.126998571 1.0142987139 0.52 0.0035 0.0032307692 1 0.0242003367 3.7030265788 3.332723921 2.7772699341 2.4995429407 2.3805170864 1.9996343526 1.6663619605 1.4283102518 1.2497714704 1.1109079737 0.9998171763 0.53 0.0035 0.0031037736 1 0.024323181 3.65160058 3.286440522 2.738700435 2.4648303915 2.3474575157 1.9718643132 1.643220261 1.4084745094 1.2324151957 1.095480174 0.9859321566 0.54 0.0035 0.0029814815 1 0.0244472789 3.6022639508 3.2420375558 2.7016979631 2.4315281668 2.3157411113 1.9452225335 1.6210187779 1.3894446668 1.2157640834 1.0806791853 0.9726112667 0.55 0.0035 0.0028636364 1 0.0245726496 3.5549055157 3.1994149641 2.6661791368 2.3995612231 2.2852964029 1.9196489785 1.5997074821 1.3711778418 1.1997806115 1.0664716547 0.9598244892 0.56 0.0035 0.00275 1 0.0246993127 3.5094220964 3.1584798868 2.6320665723 2.3688599151 2.256057062 1.8950879321 1.5792399434 1.3536342372 1.1844299576 1.0528266289 0.947543966 0.57 0.0035 0.0026403509 1 0.0248272884 3.4657178125 3.1191460313 2.5992883594 2.3393595235 2.2279614509 1.8714876188 1.5595730156 1.3367768706 1.1696797617 1.0397153438 0.9357438094 0.58 0.0035 0.0025344828 1 0.0249565972 3.4237034533 3.081333108 2.56777759 2.310999831 2.20095222 1.8487998648 1.540666554 1.320571332 1.1554999155 1.027111036 0.9243999324 0.0035 4 0.59 0.0035 0.0024322034 1 0.02508726 3.3832959141 3.0449663227 2.5374719356 2.283724742 2.1749759448 1.8269797936 1.5224831613 1.3049855669 1.141862371 1.0149887742 0.9134898968 0.6 0.0035 0.0023333333 1 0.0252192982 3.3444176891 3.0099759202 2.5083132668 2.2574819401 2.1499828001 1.8059855521 1.5049879601 1.2899896801 1.1287409701 1.0033253067 0.9029927761 0.61 0.0035 0.0022377049 1 0.0253527337 3.3069964139 2.9762967725 2.4802473104 2.2322225794 2.1259262661 1.7857780635 1.4881483863 1.2755557596 1.1161112897 0.9920989242 0.8928890318 0.62 0.0035 0.0021451613 1 0.0254875887 3.2709644523 2.9438680071 2.4532233392 2.2079010053 2.1027628622 1.7663208042 1.4719340035 1.2616577173 1.1039505026 0.9812893357 0.8831604021 0.63 0.0035 0.0020555556 1 0.0256238859 3.2362585227 2.9126326704 2.427193892 2.1844745028 2.0804519074 1.7475796023 1.4563163352 1.2482711445 1.0922372514 0.9708775568 0.8737898011 0.64 0.0035 0.00196875 1 0.0257616487 3.2028193595 2.8825374236 2.4021145196 2.1619030677 2.0589553026 1.7295224541 1.4412687118 1.2353731815 1.0809515338 0.9608458079 0.8647612271 0.65 0.0035 0.0018846154 1 0.0259009009 3.1705914059 2.8535322653 2.3779435544 2.140149199 2.0382373324 1.7121193592 1.4267661326 1.2229423994 1.0700745995 0.9511774218 0.8560596796 0.66 0.0035 0.0018030303 1 0.0260416667 3.1395225342 2.8255702808 2.3546419007 2.1191777106 2.0182644863 1.6953421685 1.4127851404 1.2109586918 1.0595888553 0.9418567603 0.8476710842 0.67 0.0035 0.0017238806 1 0.0261839709 3.1095637922 2.798607413 2.3321728441 2.0989555597 1.999005295 1.6791644478 1.3993037065 1.199403177 1.0494777799 0.9328691377 0.8395822239 0.68 0.0035 0.0016470588 1 0.0263278388 3.0806691706 2.7726022536 2.310501878 2.0794516902 1.9804301811 1.6635613521 1.3863011268 1.1882581087 1.0397258451 0.9242007512 0.8317806761 0.69 0.0035 0.0015724638 1 0.0264732965 3.0527953924 2.7475158532 2.2895965443 2.0606368899 1.9625113237 1.6485095119 1.3737579266 1.1775067942 1.0303184449 0.9158386177 0.8242547559 0.7 0.0035 0.0015 1 0.0266203704 3.0259017187 2.7233115468 2.269426289 2.0424836601 1.9452225335 1.6339869281 1.3616557734 1.1671335201 1.0212418301 0.9077705156 0.8169934641 0.71 0.0035 0.0014295775 1 0.0267690875 2.9999497723 2.699954795 2.2499623292 2.0249660963 1.9285391393 1.619972877 1.3499773975 1.1571234836 1.0124830481 0.8999849317 0.8099864385 0.72 0.0035 0.0013611111 1 0.0269194757 2.9749033751 2.6774130376 2.2311775314 2.0080597782 1.912437884 1.6064478226 1.3387065188 1.1474627304 1.0040298891 0.8924710125 0.8032239113 0.73 0.0035 0.0012945205 1 0.0270715631 2.9507284 2.65565556 2.2130463 1.99174167 1.8968968285 1.593393336 1.32782778 1.1381380971 0.995870835 0.88521852 0.796696668 0.74 0.0035 0.0012297297 1 0.0272253788 2.9273926333 2.6346533699 2.195544475 1.9759900275 1.8818952642 1.580792022 1.317326685 1.1291371585 0.9879950137 0.87821779 0.790396011 0.75 0.0035 0.0011666667 1 0.0273809524 2.90486565 2.614379085 2.1786492375 1.9607843137 1.8674136321 1.568627451 1.3071895425 1.1204481793 0.9803921569 0.871459695 0.7843137255 0.76 0.0035 0.0011052632 1 0.0275383142 2.8831186975 2.5948068278 2.1623390231 1.9461051208 1.8534334484 1.5568840967 1.2974034139 1.112060069 0.9730525604 0.8649356093 0.7784420483 0.77 0.0035 0.0010454545 1 0.0276974952 2.8621245894 2.5759121305 2.1465934421 1.9319340979 1.8399372361 1.5455472783 1.2879560652 1.1039623416 0.9659670489 0.8586373768 0.7727736391 0.78 0.0035 0.0009871795 1 0.0278585271 2.841857607 2.5576718463 2.1313932053 1.9182538847 1.8269084617 1.5346031078 1.2788359232 1.096145077 0.9591269424 0.8525572821 0.7673015539 0.79 0.0035 0.0009303797 1 0.0280214425 2.8222934085 2.5400640677 2.1167200564 1.9050480508 1.8143314769 1.5240384406 1.2700320338 1.0885988861 0.9525240254 0.8466880226 0.7620192203 0.8 0.0035 0.000875 1 0.0281862745 2.8034089453 2.5230680507 2.102556709 1.8923010381 1.8021914648 1.5138408304 1.2615340254 1.0813148789 0.946150519 0.8410226836 0.7569204152 0.81 0.0035 0.0008209877 1 0.0283530572 2.7851823841 2.5066641457 2.0888867881 1.8799981093 1.7904743898 1.5039984874 1.2533320728 1.0742846339 0.9399990546 0.8355547152 0.7519992437 0.82 0.0035 0.0007682927 1 0.0285218254 2.7675930354 2.4908337319 2.0756947766 1.8681252989 1.7791669513 1.4945002391 1.2454168659 1.0675001708 0.9340626495 0.8302779106 0.7472501196 0.83 0.0035 0.0007168675 1 0.0286926148 2.7506212868 2.4755591581 2.0629659651 1.8566693686 1.7682565415 1.4853354949 1.237779579 1.0609539249 0.9283346843 0.825186386 0.7426677474 0.84 0.0035 0.0006666667 1 0.0288654618 2.734248541 2.4608236869 2.0506864058 1.8456177652 1.7577312049 1.4764942121 1.2304118435 1.054638723 0.9228088826 0.8202745623 0.7382471061 0.85 0.0035 0.0006176471 1 0.029040404 2.7184571591 2.4466114432 2.0388428693 1.8349585824 1.7475796023 1.4679668659 1.2233057216 1.0485477614 0.9174792912 0.8155371477 0.7339834329 0.86 0.0035 0.0005697674 1 0.0292174797 2.7032304067 2.432907366 2.027422805 1.8246805245 1.7377909757 1.4597444196 1.216453683 1.0426745854 0.9123402623 0.810969122 0.7298722098 0.87 0.0035 0.0005229885 1 0.029396728 2.688552405 2.4196971645 2.0164143038 1.8147728734 1.7283551175 1.4518182987 1.2098485823 1.0370130705 0.9073864367 0.8065657215 0.7259091494 0.88 0.0035 0.0004772727 1 0.0295781893 2.6744080847 2.4069672762 2.0058060635 1.8052254572 1.7192623402 1.4441803657 1.2034836381 1.0315574041 0.9026127286 0.8023224254 0.7220901829 0.89 0.0035 0.0004325843 1 0.0297619048 2.660783143 2.3947048287 1.9955873572 1.7960286215 1.7105034491 1.4368228972 1.1973524143 1.0263020694 0.8980143108 0.7982349429 0.7184114486 0.9 0.0035 0.0003888889 1 0.0299479167 2.6476640039 2.3828976035 1.9857480029 1.7871732026 1.7020697168 1.4297385621 1.1914488017 1.0212418301 0.8935866013 0.7942992012 0.714869281 0.91 0.0035 0.0003461538 1 0.0301362683 2.6350377812 2.3715340031 1.9762783359 1.7786505023 1.6939528593 1.4229204018 1.1857670015 1.0163717156 0.8893252511 0.7905113344 0.7114602009 0.92 0.0035 0.0003043478 1 0.0303270042 2.6228922438 2.3606030194 1.9671691828 1.7704522646 1.6861450139 1.4163618116 1.1803015097 1.0116870083 0.8852261323 0.7868676731 0.7081809058 0.93 0.0035 0.0002634409 1 0.0305201699 2.6112157836 2.3500942052 1.9584118377 1.7625706539 1.678638718 1.4100565231 1.1750471026 1.0071832308 0.881285327 0.7833647351 0.7050282616 0.94 0.0035 0.0002234043 1 0.030715812 2.5999973851 2.3399976466 1.9499980389 1.754998235 1.6714268905 1.403998588 1.1699988233 1.0028561343 0.8774991175 0.7799992155 0.701999294 0.95 0.0035 0.0001842105 1 0.0309139785 2.589226598 2.3303039382 1.9419199485 1.7477279537 1.664502813 1.3981823629 1.1651519691 0.9987016878 0.8738639768 0.7767679794 0.6990911815 0.96 0.0035 0.0001458333 1 0.0311147186 2.5788935103 2.3210041592 1.9341701327 1.7407531194 1.6578601137 1.3926024955 1.1605020796 0.9947160682 0.8703765597 0.7736680531 0.6963012478 0.97 0.0035 0.0001082474 1 0.0313180828 2.5689887242 2.3120898518 1.9267415431 1.7340673888 1.6514927513 1.3872539111 1.1560449259 0.9908956508 0.8670336944 0.7706966173 0.6936269555 0.98 0.0035 0.0000714286 1 0.0315241228 2.5595033335 2.3035530001 1.9196275001 1.7276647501 1.6453950001 1.3821318001 1.1517765001 0.9872370001 0.8638323751 0.767851 0.6910659 0.99 0.0035 0.0000353535 1 0.0317328918 2.550428902 2.2953860118 1.9128216765 1.7215395088 1.639561437 1.3772316071 1.1476930059 0.9837368622 0.8607697544 0.7651286706 0.6886158035 1 0.0035 0 1 0.0319444444 2.5417574437 2.2875816993 1.9063180828 1.7156862745 1.6339869281 1.3725490196 1.1437908497 0.9803921569 0.8578431373 0.7625272331 0.6862745098 25 - B Dimensionamento de seção retangular - Aço CA 25-B 25 fyk (MPa) = 250 0.54 fck (MPa) As unidades de Ks e Kc estão em KN e cm Módulo de elasticidade (MPa) = 210000 13.5 15 18 20 21 25 30 35 40 45 50 Domínio Kx Ks Kc 0.01 2 0.01 0.0001010101 0.0031904762 0.0620684964 0.046184739 2466.9184392688 2220.2265953419 1850.1888294516 1665.1699465064 1585.8761395299 1332.1359572051 1110.1132976709 951.5256837179 832.5849732532 740.0755317806 666.0679786026 0.02 0.0002040816 0.01 0.1232125503 0.0463709677 623.8622966982 561.4760670284 467.8967225236 421.1070502713 401.0543335917 336.885640217 280.7380335142 240.632600155 210.5535251356 187.1586890095 168.4428201085 0.03 0.0003092784 0.01 0.1833351047 0.0465587045 280.6477238508 252.5829514657 210.4857928881 189.4372135993 180.4163939041 151.5497708794 126.2914757329 108.2498363424 94.7186067996 84.1943171552 75.7748854397 0.04 0.0004166667 0.01 0.2423321759 0.0467479675 159.8892196121 143.9002976509 119.9169147091 107.9252232382 102.7859268935 86.3401785905 71.9501488255 61.6715561361 53.9626116191 47.9667658836 43.1700892953 0.05 0.0005263158 0.01 0.3000923361 0.0469387755 103.7132801839 93.3419521655 77.7849601379 70.0064641241 66.6728229753 56.0051712993 46.6709760827 40.0036937852 35.0032320621 31.1139840552 28.0025856496 0.06 0.0006382979 0.01 0.3564961521 0.0471311475 73.0515507829 65.7463957046 54.7886630872 49.3097967785 46.9617112176 39.4478374228 32.8731978523 28.1770267305 24.6548983892 21.9154652349 19.7239187114 0.07 0.0007526882 0.01 0.4114155779 0.0473251029 54.4804037786 49.0323634007 40.8603028339 36.7742725506 35.0231167148 29.4194180404 24.5161817004 21.0138700289 18.3871362753 16.3441211336 14.7097090202 0.08 0.0008695652 0.01 0.4647132955 0.0475206612 42.3774589913 38.1397130921 31.7830942434 28.6047848191 27.2426522087 22.8838278553 19.0698565461 16.3455913252 14.3023924095 12.7132376974 11.4419139276 0.09 0.000989011 0.01 0.5162419998 0.0477178423 34.0496362483 30.6446726235 25.5372271862 22.9835044676 21.8890518739 18.3868035741 15.3223363117 13.1334311243 11.4917522338 10.2148908745 9.193401787 0.1 0.0011111111 0.01 0.5658436214 0.0479166667 28.0748663102 25.2673796791 21.0561497326 18.9505347594 18.0481283422 15.1604278075 12.6336898396 10.8288770053 9.4752673797 8.422459893 7.5802139037 0.11 0.0012359551 0.01 0.6133484829 0.0481171548 23.6443555624 21.2799200062 17.7332666718 15.9599400046 15.1999428616 12.7679520037 10.6399600031 9.1199657169 7.9799700023 7.0933066687 6.3839760019 0.12 0.0013636364 0.01 0.6585743802 0.0483193277 20.2704004409 18.2433603968 15.2028003307 13.6825202976 13.030971712 10.9460162381 9.1216801984 7.8185830272 6.8412601488 6.0811201323 5.473008119 0.13 0.0014942529 0.01 0.7013255824 0.0485232068 17.6446880153 15.8802192137 13.2335160115 11.9101644103 11.3430137241 9.5281315282 7.9401096069 6.8058082345 5.9550822052 5.2934064046 4.7640657641 0.14 0.001627907 0.01 0.7413917433 0.0487288136 15.5645862143 14.0081275929 11.6734396608 10.5060956947 10.0058054235 8.4048765557 7.0040637965 6.0034832541 5.2530478473 4.6693758643 4.2024382779 0.15 0.0017647059 0.01 0.7785467128 0.0489361702 13.8925371392 12.5032834253 10.4194028544 9.377462569 8.9309167323 7.5019700552 6.2516417126 5.3585500394 4.6887312845 4.1677611418 3.7509850276 0.16 0.0019047619 0.01 0.8125472411 0.0491452991 12.532592047 11.2793328423 9.3994440352 8.4594996317 8.0566663159 6.7675997054 5.6396664211 4.8339997895 4.2297498158 3.7597776141 3.3837998527 0.17 0.0020481928 0.01 0.8431372549 0.0493562232 11.4162176831 10.2745959148 8.5621632624 7.7059469361 7.338997082 6.1647575489 5.1372979574 4.4033982492 3.8529734681 3.4248653049 3.0823787744 0.18 0.002195122 0.01 0.8703703704 0.0495689655 10.4896446228 9.4406801605 7.8672334671 7.0805101204 6.7433429718 5.6644080963 4.7203400803 4.0460057831 3.5402550602 3.1468933868 2.8322040482 0.19 0.002345679 0.01 0.8947368421 0.0497835498 9.7087755681 8.7378980113 7.281581676 6.5534235084 6.2413557223 5.2427388068 4.3689490056 3.7448134334 3.2767117542 2.9126326704 2.6213694034 0.2 0.0025 0.01 0.9166666667 0.05 9.0418248986 8.1376424087 6.781368674 6.1032318066 5.8126017205 4.8825854452 4.0688212044 3.4875610323 3.0516159033 2.7125474696 2.4412927226 0.21 0.0026582278 0.01 0.9365079365 0.0502183406 8.4656268942 7.6190642048 6.3492201706 5.7142981536 5.4421887177 4.5714385229 3.8095321024 3.2653132306 2.8571490768 2.5396880683 2.2857192614 0.22 0.0028205128 0.01 0.9545454545 0.0504385965 7.9628992598 7.1666093338 5.9721744448 5.3749570003 5.119006667 4.2999656003 3.5833046669 3.0714040002 2.6874785002 2.3888697779 2.1499828001 0.23 0.002987013 0.01 0.9710144928 0.050660793 7.5204868806 6.7684381926 5.6403651605 5.0763286444 4.834598709 4.0610629155 3.3842190963 2.9007592254 2.5381643222 2.2561460642 2.0305314578 0.24 0.0031578947 0.01 0.9861111111 0.0508849558 7.1281992376 6.4153793139 5.3461494282 4.8115344854 4.5824137956 3.8492275883 3.2076896569 2.7494482774 2.4057672427 2.1384597713 1.9246137942 0.25 0.0033333333 0.01 1 0.0511111111 6.7780198499 6.1002178649 5.0835148874 4.5751633987 4.3572984749 3.660130719 3.0501089325 2.614379085 2.2875816993 2.033405955 1.8300653595 0.26 0.0035135135 0.01 1 0.0513392857 6.5464219876 5.8917797888 4.9098164907 4.4188348416 4.2084141349 3.5350678733 2.9458898944 2.5250484809 2.2094174208 1.9639265963 1.7675339367 0.0035 3 0.27 0.0035 0.009462963 1 0.0515695067 6.3322308015 5.6990077213 4.7491731011 4.274255791 4.070719801 3.4194046328 2.8495038607 2.4424318806 2.1371278955 1.8996692404 1.7097023164 0.28 0.0035 0.009 1 0.0518018018 6.133584565 5.5202261085 4.6001884237 4.1401695813 3.9430186489 3.3121356651 2.7601130542 2.3658111893 2.0700847907 1.8400753695 1.6560678325 0.29 0.0035 0.0085689655 1 0.0520361991 5.9488783985 5.3539905586 4.4616587989 4.015492919 3.8242789704 3.2123943352 2.6769952793 2.2945673823 2.0077464595 1.7846635195 1.6061971676 0.3 0.0035 0.0081666667 1 0.0522727273 5.776721463 5.1990493167 4.3325410972 3.8992869875 3.7136066548 3.11942959 2.5995246583 2.2281639929 1.9496434938 1.7330164389 1.559714795 0.31 0.0035 0.0077903226 1 0.0525114155 5.6159024386 5.0543121948 4.211926829 3.7907341461 3.6102229963 3.0325873169 2.5271560974 2.1661337978 1.895367073 1.6847707316 1.5162936584 0.32 0.0035 0.0074375 1 0.0527522936 5.4653614759 4.9188253283 4.0990211069 3.6891189962 3.5134466631 2.951295197 2.4594126641 2.1080679978 1.8445594981 1.6396084428 1.4756475985 0.33 0.0035 0.0071060606 1 0.0529953917 5.324167247 4.7917505223 3.9931254353 3.5938128917 3.4226789445 2.8750503134 2.3958752612 2.0536073667 1.7969064459 1.5972501741 1.4375251567 0.34 0.0035 0.0067941176 1 0.0532407407 5.1914980468 4.6723482421 3.8936235351 3.5042611816 3.3373916015 2.8034089453 2.3361741211 2.0024349609 1.7521305908 1.557449414 1.4017044726 0.35 0.0035 0.0065 1 0.0534883721 5.0666261337 4.5599635203 3.7999696002 3.4199726402 3.2571168002 2.7359781122 2.2799817601 1.9542700801 1.7099863201 1.5199878401 1.3679890561 0.36 0.0035 0.0062222222 1 0.0537383178 4.9489046801 4.4540142121 3.7116785101 3.3405106591 3.1814387229 2.6724085273 2.2270071061 1.9088632338 1.6702553295 1.484671404 1.3362042636 0.37 0.0035 0.0059594595 1 0.0539906103 4.83775684 4.353981156 3.62831763 3.265485867 3.10998654 2.6123886936 2.176990578 1.865991924 1.6327429335 1.451327052 1.3061943468 0.38 0.0035 0.0057105263 1 0.054245283 4.7326665412 4.2593998871 3.5494999059 3.1945499153 3.0424284908 2.5556399322 2.1296999435 1.8254570945 1.5972749576 1.4197999624 1.2778199661 0.39 0.0035 0.005474359 1 0.0545023697 4.6331706958 4.1698536262 3.4748780219 3.1273902197 2.9784668759 2.5019121757 2.0849268131 1.7870801255 1.5636951098 1.3899512087 1.2509560879 0.4 0.0035 0.00525 1 0.0547619048 4.5388525781 4.0849673203 3.4041394336 3.0637254902 2.9178338002 2.4509803922 2.0424836601 1.7507002801 1.5318627451 1.3616557734 1.2254901961 0.41 0.0035 0.0050365854 1 0.0550239234 4.4493361718 4.0044025546 3.3370021288 3.0033019159 2.860287539 2.4026415327 2.0022012773 1.7161725234 1.501650958 1.3348008515 1.2013207664 0.42 0.0035 0.0048333333 1 0.0552884615 4.3642813251 3.9278531926 3.2732109938 2.9458898944 2.8056094233 2.3567119155 1.9639265963 1.683365654 1.4729449472 1.3092843975 1.1783559578 0.43 0.0035 0.0046395349 1 0.0555555556 4.2833795816 3.8550416234 3.2125346862 2.8912812176 2.7536011596 2.3130249741 1.9275208117 1.6521606958 1.4456406088 1.2850138745 1.156512487 0.44 0.0035 0.0044545455 1 0.0558252427 4.2063505799 3.7857155219 3.1547629349 2.8392866414 2.7040825156 2.2714293131 1.8928577609 1.6224495094 1.4196433207 1.261905174 1.1357146566 0.45 0.0035 0.0042777778 1 0.056097561 4.1329389329 3.7196450396 3.0997041997 2.7897337797 2.656889314 2.2317870238 1.8598225198 1.5941335884 1.3948668898 1.2398816799 1.1158935119 0.46 0.0035 0.0041086957 1 0.056372549 4.0629115149 3.6566203634 3.0471836362 2.7424652726 2.6118716881 2.193972218 1.8283101817 1.5671230129 1.3712326363 1.2188734545 1.096986109 0.47 0.0035 0.0039468085 1 0.0566502463 3.9960550944 3.596449585 2.9970413208 2.6973371887 2.5688925607 2.157869751 1.7982247925 1.5413355364 1.3486685944 1.1988165283 1.0789348755 0.48 0.0035 0.0037916667 1 0.0569306931 3.9321742632 3.5389568369 2.9491306974 2.6542176276 2.527826312 2.1233741021 1.7694784184 1.5166957872 1.3271088138 1.179652279 1.0616870511 0.49 0.0035 0.0036428571 1 0.0572139303 3.8710896188 3.4839806569 2.9033172141 2.6129854927 2.4885576121 2.0903883942 1.7419903285 1.4931345673 1.3064927464 1.1613268856 1.0451941971 0.5 0.0035 0.0035 1 0.0575 3.8126361656 3.431372549 2.8594771242 2.5735294118 2.4509803922 2.0588235294 1.7156862745 1.4705882353 1.2867647059 1.1437908497 1.0294117647 0.51 0.0035 0.0033627451 1 0.0577889447 3.7566619032 3.3809957129 2.8174964274 2.5357467847 2.4149969378 2.0285974277 1.6904978564 1.4489981627 1.2678733923 1.126998571 1.0142987139 0.52 0.0035 0.0032307692 1 0.0580808081 3.7030265788 3.332723921 2.7772699341 2.4995429407 2.3805170864 1.9996343526 1.6663619605 1.4283102518 1.2497714704 1.1109079737 0.9998171763 0.53 0.0035 0.0031037736 1 0.0583756345 3.65160058 3.286440522 2.738700435 2.4648303915 2.3474575157 1.9718643132 1.643220261 1.4084745094 1.2324151957 1.095480174 0.9859321566 0.54 0.0035 0.0029814815 1 0.0586734694 3.6022639508 3.2420375558 2.7016979631 2.4315281668 2.3157411113 1.9452225335 1.6210187779 1.3894446668 1.2157640834 1.0806791853 0.9726112667 0.0035 4 0.55 0.0035 0.0028636364 1 0.0573595455 3.5549055157 3.1994149641 2.6661791368 2.3995612231 2.2852964029 1.9196489785 1.5997074821 1.3711778418 1.1997806115 1.0664716547 0.9598244892 0.56 0.0035 0.00275 1 0.0580315449 3.5094220964 3.1584798868 2.6320665723 2.3688599151 2.256057062 1.8950879321 1.5792399434 1.3536342372 1.1844299576 1.0528266289 0.947543966 0.57 0.0035 0.0026403509 1 0.0587059942 3.4657178125 3.1191460313 2.5992883594 2.3393595235 2.2279614509 1.8714876188 1.5595730156 1.3367768706 1.1696797617 1.0397153438 0.9357438094 0.58 0.0035 0.0025344828 1 0.0593831671 3.4237034533 3.081333108 2.56777759 2.310999831 2.20095222 1.8487998648 1.540666554 1.320571332 1.1554999155 1.027111036 0.9243999324 0.59 0.0035 0.0024322034 1 0.0600633317 3.3832959141 3.0449663227 2.5374719356 2.283724742 2.1749759448 1.8269797936 1.5224831613 1.3049855669 1.141862371 1.0149887742 0.9134898968 0.6 0.0035 0.0023333333 1 0.0607467513 3.3444176891 3.0099759202 2.5083132668 2.2574819401 2.1499828001 1.8059855521 1.5049879601 1.2899896801 1.1287409701 1.0033253067 0.9029927761 0.61 0.0035 0.0022377049 1 0.0614336851 3.3069964139 2.9762967725 2.4802473104 2.2322225794 2.1259262661 1.7857780635 1.4881483863 1.2755557596 1.1161112897 0.9920989242 0.8928890318 0.62 0.0035 0.0021451613 1 0.0621243892 3.2709644523 2.9438680071 2.4532233392 2.2079010053 2.1027628622 1.7663208042 1.4719340035 1.2616577173 1.1039505026 0.9812893357 0.8831604021 0.63 0.0035 0.0020555556 1 0.0628191167 3.2362585227 2.9126326704 2.427193892 2.1844745028 2.0804519074 1.7475796023 1.4563163352 1.2482711445 1.0922372514 0.9708775568 0.8737898011 0.64 0.0035 0.00196875 1 0.063518119 3.2028193595 2.8825374236 2.4021145196 2.1619030677 2.0589553026 1.7295224541 1.4412687118 1.2353731815 1.0809515338 0.9608458079 0.8647612271 0.65 0.0035 0.0018846154 1 0.0642216457 3.1705914059 2.8535322653 2.3779435544 2.140149199 2.0382373324 1.7121193592 1.4267661326 1.2229423994 1.0700745995 0.9511774218 0.8560596796 0.66 0.0035 0.0018030303 1 0.0649299456 3.1395225342 2.8255702808 2.3546419007 2.1191777106 2.0182644863 1.6953421685 1.4127851404 1.2109586918 1.0595888553 0.9418567603 0.8476710842 0.67 0.0035 0.0017238806 1 0.0656432671 3.1095637922 2.798607413 2.3321728441 2.0989555597 1.999005295 1.6791644478 1.3993037065 1.199403177 1.0494777799 0.9328691377 0.8395822239 0.68 0.0035 0.0016470588 1 0.0663618586 3.0806691706 2.7726022536 2.310501878 2.0794516902 1.9804301811 1.6635613521 1.3863011268 1.1882581087 1.0397258451 0.9242007512 0.8317806761 0.69 0.0035 0.0015724638 1 0.0670859693 3.0527953924 2.7475158532 2.2895965443 2.0606368899 1.9625113237 1.6485095119 1.3737579266 1.1775067942 1.0303184449 0.9158386177 0.8242547559 0.7 0.0035 0.0015 1 0.0678158491 3.0259017187 2.7233115468 2.269426289 2.0424836601 1.9452225335 1.6339869281 1.3616557734 1.1671335201 1.0212418301 0.9077705156 0.8169934641 0.71 0.0035 0.0014295775 1 0.06855175 2.9999497723 2.699954795 2.2499623292 2.0249660963 1.9285391393 1.619972877 1.3499773975 1.1571234836 1.0124830481 0.8999849317 0.8099864385 0.72 0.0035 0.0013611111 1 0.0692939256 2.9749033751 2.6774130376 2.2311775314 2.0080597782 1.912437884 1.6064478226 1.3387065188 1.1474627304 1.0040298891 0.8924710125 0.8032239113 0.73 0.0035 0.0012945205 1 0.0700426321 2.9507284 2.65565556 2.2130463 1.99174167 1.8968968285 1.593393336 1.32782778 1.1381380971 0.995870835 0.88521852 0.796696668 0.74 0.0035 0.0012297297 1 0.0707981288 2.9273926333 2.6346533699 2.195544475 1.9759900275 1.8818952642 1.580792022 1.317326685 1.1291371585 0.9879950137 0.87821779 0.790396011 0.75 0.0035 0.0011666667 1 0.0715606783 2.90486565 2.614379085 2.1786492375 1.9607843137 1.8674136321 1.568627451 1.3071895425 1.1204481793 0.9803921569 0.871459695 0.7843137255 0.76 0.0035 0.0011052632 1 0.0723305473 2.8831186975 2.5948068278 2.1623390231 1.9461051208 1.8534334484 1.5568840967 1.2974034139 1.112060069 0.9730525604 0.8649356093 0.7784420483 0.77 0.0035 0.0010454545 1 0.0731080066 2.8621245894 2.5759121305 2.1465934421 1.9319340979 1.8399372361 1.5455472783 1.2879560652 1.1039623416 0.9659670489 0.8586373768 0.7727736391 0.78 0.0035 0.0009871795 1 0.0738933322 2.841857607 2.5576718463 2.1313932053 1.9182538847 1.8269084617 1.5346031078 1.2788359232 1.096145077 0.9591269424 0.8525572821 0.7673015539 0.79 0.0035 0.0009303797 1 0.0746868053 2.8222934085 2.5400640677 2.1167200564 1.9050480508 1.8143314769 1.5240384406 1.2700320338 1.0885988861 0.9525240254 0.8466880226 0.7620192203 0.8 0.0035 0.000875 1 0.0754887132 2.8034089453 2.5230680507 2.102556709 1.8923010381 1.8021914648 1.5138408304 1.2615340254 1.0813148789 0.946150519 0.8410226836 0.7569204152 0.81 0.0035 0.0008209877 1 0.0762993495 2.7851823841 2.5066641457 2.0888867881 1.8799981093 1.7904743898 1.5039984874 1.2533320728 1.0742846339 0.9399990546 0.8355547152 0.7519992437 0.82 0.0035 0.0007682927 1 0.0771190151 2.7675930354 2.4908337319 2.0756947766 1.8681252989 1.7791669513 1.4945002391 1.2454168659 1.0675001708 0.9340626495 0.8302779106 0.7472501196 0.83 0.0035 0.0007168675 1 0.0779480182 2.7506212868 2.4755591581 2.0629659651 1.8566693686 1.7682565415 1.4853354949 1.237779579 1.0609539249 0.9283346843 0.825186386 0.7426677474 0.84 0.0035 0.0006666667 1 0.0692771084 2.734248541 2.4608236869 2.0506864058 1.8456177652 1.7577312049 1.4764942121 1.2304118435 1.054638723 0.9228088826 0.8202745623 0.7382471061 0.85 0.0035 0.0006176471 1 0.0696969697 2.7184571591 2.4466114432 2.0388428693 1.8349585824 1.7475796023 1.4679668659 1.2233057216 1.0485477614 0.9174792912 0.8155371477 0.7339834329 0.86 0.0035 0.0005697674 1 0.0701219512 2.7032304067 2.432907366 2.027422805 1.8246805245 1.7377909757 1.4597444196 1.216453683 1.0426745854 0.9123402623 0.810969122 0.7298722098 0.87 0.0035 0.0005229885 1 0.0705521472 2.688552405 2.4196971645 2.0164143038 1.8147728734 1.7283551175 1.4518182987 1.2098485823 1.0370130705 0.9073864367 0.8065657215 0.7259091494 0.88 0.0035 0.0004772727 1 0.0709876543 2.6744080847 2.4069672762 2.0058060635 1.8052254572 1.7192623402 1.4441803657 1.2034836381 1.0315574041 0.9026127286 0.8023224254 0.7220901829 0.89 0.0035 0.0004325843 1 0.0714285714 2.660783143 2.3947048287 1.9955873572 1.7960286215 1.7105034491 1.4368228972 1.1973524143 1.0263020694 0.8980143108 0.7982349429 0.7184114486 0.9 0.0035 0.0003888889 1 0.071875 2.6476640039 2.3828976035 1.9857480029 1.7871732026 1.7020697168 1.4297385621 1.1914488017 1.0212418301 0.8935866013 0.7942992012 0.714869281 0.91 0.0035 0.0003461538 1 0.072327044 2.6350377812 2.3715340031 1.9762783359 1.7786505023 1.6939528593 1.4229204018 1.1857670015 1.0163717156 0.8893252511 0.7905113344 0.7114602009 0.92 0.0035 0.0003043478 1 0.0727848101 2.6228922438 2.3606030194 1.9671691828 1.7704522646 1.6861450139 1.4163618116 1.1803015097 1.0116870083 0.8852261323 0.7868676731 0.7081809058 0.93 0.0035 0.0002634409 1 0.0732484076 2.6112157836 2.3500942052 1.9584118377 1.7625706539 1.678638718 1.4100565231 1.1750471026 1.0071832308 0.881285327 0.7833647351 0.7050282616 0.94 0.0035 0.0002234043 1 0.0737179487 2.5999973851 2.3399976466 1.9499980389 1.754998235 1.6714268905 1.403998588 1.1699988233 1.0028561343 0.8774991175 0.7799992155 0.701999294 0.95 0.0035 0.0001842105 1 0.0741935484 2.589226598 2.3303039382 1.9419199485 1.7477279537 1.664502813 1.3981823629 1.1651519691 0.9987016878 0.8738639768 0.7767679794 0.6990911815 0.96 0.0035 0.0001458333 1 0.0746753247 2.5788935103 2.3210041592 1.9341701327 1.7407531194 1.6578601137 1.3926024955 1.1605020796 0.9947160682 0.8703765597 0.7736680531 0.6963012478 0.97 0.0035 0.0001082474 1 0.0751633987 2.5689887242 2.3120898518 1.9267415431 1.7340673888 1.6514927513 1.3872539111 1.1560449259 0.9908956508 0.8670336944 0.7706966173 0.6936269555 0.98 0.0035 0.0000714286 1 0.0756578947 2.5595033335 2.3035530001 1.9196275001 1.7276647501 1.6453950001 1.3821318001 1.1517765001 0.9872370001 0.8638323751 0.767851 0.6910659 0.99 0.0035 0.0000353535 1 0.0761589404 2.550428902 2.2953860118 1.9128216765 1.7215395088 1.639561437 1.3772316071 1.1476930059 0.9837368622 0.8607697544 0.7651286706 0.6886158035 1 0.0035 0 1 0.0766666667 2.5417574437 2.2875816993 1.9063180828 1.7156862745 1.6339869281 1.3725490196 1.1437908497 0.9803921569 0.8578431373 0.7625272331 0.6862745098 Equação para determinação da tensão a = 0.002116 b = -0.0665428571 Tensão c = 0.312393617 25.7038119977 0.319375 25.5371241044 0.3260714286 25.3745350244 0.3325 25.2158297678 0.3386764706 25.0608076328 0.3446153846 24.9092809525 0.3503301887 24.7610739688 0.3558333333 24.6160218218 0.3611363636 24.473969638 0.36625 24.3347717073 0.3711842105 24.1982907384 0.3759482759 24.0643971826 0.3805508475 23.9329686202 0.385 23.8038892008 0.3893032787 23.6770491326 0.3934677419 23.5523442153 0.3975 23.4296754117 0.40140625 23.3089484543 0.4051923077 23.1900734824 0.4088636364 23.0729647074 0.4124253731 22.9575401033 0.4158823529 22.8437211189 0.4192391304 22.7314324101 0.4225 22.6206015904 0.4256690141 22.5111589966 0.42875 22.4030374691 0.4317465753 22.2961721445 0.4346621622 22.1905002593 0.4375 22.0859609627 Valor da defeomação no início do trecho parabólico 0.0007246377 50 - B Dimensionamento de seção retangular - Aço CA 50-B 50 fyk (MPa) = 500 0.46 fck (MPa) As unidades de Ks e Kc estão em KN e cm Módulo de elasticidade (MPa) = 210000 13.5 15 18 20 21 25 30 35 40 45 50 Domínio Kx Ks Kc 0.01 2 0.01 0.0001010101 0.01 0.0620684964 0.0230923695 2466.9184392688 2220.2265953419 1850.1888294516 1665.1699465064 1585.8761395299 1332.1359572051 1110.1132976709 951.5256837179 832.5849732532 740.0755317806 666.0679786026 0.02 0.0002040816 0.01 0.1232125503 0.0231854839 623.8622966982 561.4760670284 467.8967225236 421.1070502713 401.0543335917 336.885640217 280.7380335142 240.632600155 210.5535251356 187.1586890095 168.4428201085 0.03 0.0003092784 0.01 0.1833351047 0.0232793522 280.6477238508 252.5829514657 210.4857928881 189.4372135993 180.4163939041 151.5497708794 126.2914757329 108.2498363424 94.7186067996 84.1943171552 75.7748854397 0.04 0.0004166667 0.01 0.2423321759 0.0233739837 159.8892196121 143.9002976509 119.9169147091 107.9252232382 102.7859268935 86.3401785905 71.9501488255 61.6715561361 53.9626116191 47.9667658836 43.1700892953 0.05 0.0005263158 0.01 0.3000923361 0.0234693878 103.7132801839 93.3419521655 77.7849601379 70.0064641241 66.6728229753 56.0051712993 46.6709760827 40.0036937852 35.0032320621 31.1139840552 28.0025856496 0.06 0.0006382979 0.01 0.3564961521 0.0235655738 73.0515507829 65.7463957046 54.7886630872 49.3097967785 46.9617112176 39.4478374228 32.8731978523 28.1770267305 24.6548983892 21.9154652349 19.7239187114 0.07 0.0007526882 0.01 0.4114155779 0.0236625514 54.4804037786 49.0323634007 40.8603028339 36.7742725506 35.0231167148 29.4194180404 24.5161817004 21.0138700289 18.3871362753 16.3441211336 14.7097090202 0.08 0.0008695652 0.01 0.4647132955 0.0237603306 42.3774589913 38.1397130921 31.7830942434 28.6047848191 27.2426522087 22.8838278553 19.0698565461 16.3455913252 14.3023924095 12.7132376974 11.4419139276 0.09 0.000989011 0.01 0.5162419998 0.0238589212 34.0496362483 30.6446726235 25.5372271862 22.9835044676 21.8890518739 18.3868035741 15.3223363117 13.1334311243 11.4917522338 10.2148908745 9.193401787 0.1 0.0011111111 0.01 0.5658436214 0.0239583333 28.0748663102 25.2673796791 21.0561497326 18.9505347594 18.0481283422 15.1604278075 12.6336898396 10.8288770053 9.4752673797 8.422459893 7.5802139037 0.11 0.0012359551 0.01 0.6133484829 0.0240585774 23.6443555624 21.2799200062 17.7332666718 15.9599400046 15.1999428616 12.7679520037 10.6399600031 9.1199657169 7.9799700023 7.0933066687 6.3839760019 0.12 0.0013636364 0.01 0.6585743802 0.0241596639 20.2704004409 18.2433603968 15.2028003307 13.6825202976 13.030971712 10.9460162381 9.1216801984 7.8185830272 6.8412601488 6.0811201323 5.473008119 0.13 0.0014942529 0.01 0.7013255824 0.0242616034 17.6446880153 15.8802192137 13.2335160115 11.9101644103 11.3430137241 9.5281315282 7.9401096069 6.8058082345 5.9550822052 5.2934064046 4.7640657641 0.14 0.001627907 0.01 0.7413917433 0.0243644068
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