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Cálculo de Vigas
Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
Entrada DIMENSIONAMENTO DE VIGA EM CONCRETO ARMADO Mk = 7000 kN.cm Momento Fletor Característico Fck = 20 MPa Resitência Característica do Concreto à Compressão. bw = 15 cm Base da Viga CAA = Classe de Agressividade Ambiental Es = 21000 kN/cm2 Módulo de Elasticidade do Aço fyk = 50 kN/cm² Resistência Característica do Aço ao Escoamento CA-50 fyk = 60 kN/cm² Resistência Característica do Aço ao Escoamento CA-60 ɣc = 1.4 gc - Coeficiente de Minoração de Resistência do Concreto ɣs = 1.15 gs - Coeficiente de Minoração de Resistência do Aço Autor: Ubiracy Cavalcanti Especialista em Estrutura Mestrando Estrutura / UFAL Versão: 1.0 1 Arm. Simples I Arm. Dupla I Momento Máximo Cortante Arm. Simples II Arm. Dupla II Seção T Tabela CA-25 Tabela CA-50 Tabela CA-60 CA-25 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 20 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 1665.1699465064 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 421.1070502713 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 189.4372135993 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 107.9252232382 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 70.0064641241 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 49.3097967785 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 36.7742725506 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 28.6047848191 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 22.9835044676 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 18.9505347594 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 15.9599400046 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 13.6825202976 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 11.9101644103 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 10.5060956947 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 9.377462569 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 8.4594996317 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 7.7059469361 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 7.0805101204 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 6.5534235084 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 6.1032318066 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 5.7142981536 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 5.3749570003 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 5.0763286444 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 4.8115344854 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 4.5751633987 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 4.4188348416 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 4.274255791 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 4.1401695813 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 4.015492919 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 3.8992869875 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 3.7907341461 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 3.6891189962 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 3.5938128917 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 3.5042611816 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 3.4199726402 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 3.3405106591 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 3.265485867 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 3.1945499153 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 3.1273902197 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 3.0637254902 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 3.0033019159 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 2.9458898944 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 2.8912812176 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 2.8392866414 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 2.7897337797 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 2.7424652726 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 2.6973371887 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 2.6542176276 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 2.6129854927 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 2.5735294118 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 2.5357467847 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 2.4995429407 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 2.4648303915 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 2.4315281668 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 2.3995612231 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 2.3688599151 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 2.3393595235 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 2.310999831 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 2.283724742 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 2.2574819401 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 2.2322225794 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 2.2079010053 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 2.1844745028 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 2.1619030677 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 2.140149199 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 2.1191777106 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 2.0989555597 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 2.0794516902 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 2.0606368899 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 2.0424836601 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 2.0249660963 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 2.0080597782 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 1.99174167 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 1.9759900275 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 1.9607843137 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 1.9461051208 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 1.9319340979 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 1.9182538847 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 1.9050480508 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 1.8923010381 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 1.8799981093 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 1.8681252989 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 1.8566693686 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 1.8456177652 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 1.8349585824 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 1.8246805245 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 1.8147728734 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 1.8052254572 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 1.7960286215 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 1.7871732026 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 1.7786505023 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 1.7704522646 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 1.7625706539 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 1.754998235 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 1.7477279537 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 1.7407531194 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 1.7340673888 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 1.7276647501 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 1.7215395088 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 1.7156862745 CA-50 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 20 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 1665.1699465064 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 421.1070502713 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 189.4372135993 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 107.9252232382 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 70.0064641241 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 49.3097967785 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 36.7742725506 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 28.6047848191 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 22.9835044676 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 18.9505347594 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 15.9599400046 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 13.6825202976 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 11.9101644103 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 10.5060956947 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 9.377462569 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 8.4594996317 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 7.7059469361 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 7.0805101204 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 6.5534235084 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 6.1032318066 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 5.7142981536 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 5.3749570003 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 5.0763286444 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 4.8115344854 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 4.5751633987 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 4.4188348416 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 4.274255791 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 4.1401695813 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 4.015492919 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 3.8992869875 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 3.7907341461 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 3.6891189962 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 3.5938128917 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 3.5042611816 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 3.4199726402 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 3.3405106591 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 3.265485867 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 3.1945499153 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 3.1273902197 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 3.0637254902 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 3.0033019159 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 2.9458898944 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 2.8912812176 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 2.8392866414 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 2.7897337797 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 2.7424652726 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 2.6973371887 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 2.6542176276 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 2.6129854927 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 2.5735294118 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 2.5357467847 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 2.4995429407 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 2.4648303915 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 2.4315281668 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 2.3995612231 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 2.3688599151 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 2.3393595235 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 2.310999831 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 2.283724742 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 2.2574819401 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 2.2322225794 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 2.2079010053 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 2.1844745028 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 2.1619030677 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 2.140149199 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 2.1191777106 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 2.0989555597 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 2.0794516902 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 2.0606368899 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 2.0424836601 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 2.0249660963 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 2.0080597782 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 1.99174167 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 1.9759900275 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 1.9607843137 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 1.9461051208 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 1.9319340979 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 1.9182538847 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 1.9050480508 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 1.8923010381 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 1.8799981093 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 1.8681252989 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 1.8566693686 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 1.8456177652 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 1.8349585824 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 1.8246805245 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 1.8147728734 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 1.8052254572 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 1.7960286215 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 1.7871732026 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 1.7786505023 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 1.7704522646 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 1.7625706539 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 1.754998235 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 1.7477279537 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 1.7407531194 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 1.7340673888 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 1.7276647501 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 1.7215395088 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 1.7156862745 CA-60 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 20 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 1665.1699465064 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 421.1070502713 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 189.4372135993 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 107.9252232382 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 70.0064641241 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 49.3097967785 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 36.7742725506 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 28.6047848191 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 22.9835044676 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 18.9505347594 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 15.9599400046 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 13.6825202976 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 11.9101644103 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 10.5060956947 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 9.377462569 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 8.4594996317 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 7.7059469361 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 7.0805101204 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 6.5534235084 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 6.1032318066 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 5.7142981536 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 5.3749570003 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 5.0763286444 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 4.8115344854 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 4.5751633987 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 4.4188348416 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 4.274255791 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 4.1401695813 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 4.015492919 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 3.8992869875 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 3.7907341461 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 3.6891189962 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 3.5938128917 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 3.5042611816 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 3.4199726402 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 3.3405106591 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 3.265485867 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 3.1945499153 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 3.1273902197 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 3.0637254902 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 3.0033019159 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 2.9458898944 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 2.8912812176 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 2.8392866414 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 2.7897337797 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 2.7424652726 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 2.6973371887 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 2.6542176276 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 2.6129854927 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 2.5735294118 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 2.5357467847 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 2.4995429407 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 2.4648303915 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 2.4315281668 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 2.3995612231 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 2.3688599151 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 2.3393595235 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 2.310999831 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 2.283724742 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 2.2574819401 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 2.2322225794 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 2.2079010053 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 2.1844745028 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 2.1619030677 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 2.140149199 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 2.1191777106 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 2.0989555597 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 2.0794516902 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 2.0606368899 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 2.0424836601 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 2.0249660963 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 2.0080597782 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 1.99174167 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 1.9759900275 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 1.9607843137 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 1.9461051208 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 1.9319340979 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 1.9182538847 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 1.9050480508 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 1.8923010381 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 1.8799981093 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 1.8681252989 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 1.8566693686 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 1.8456177652 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 1.8349585824 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 1.8246805245 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 1.8147728734 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 1.8052254572 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 1.7960286215 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 1.7871732026 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 1.7786505023 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 1.7704522646 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 1.7625706539 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 1.754998235 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 1.7477279537 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 1.7407531194 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 1.7340673888 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 1.7276647501 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 1.7215395088 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 1.7156862745 Arm. Simples I Dimensionamento de Vigas Retangulares em C.A. Simplesmente Armada 2 50 Aço Kx (lim) Kc (lim) Kc(lim) 1) Dados de entrada: CA 25 A 0.770 1.9319340979 0 2.1890901551 Bitolas As Aço utiliz As As min Aço utiliz As min Mk = 7000 kN.cm CA 50 A 0.628 2.1890901551 0.628 5 3 16 3 8 Fck = 20 MPa CA 60 A 0.580 2.310999831 0 6.3 bw = 15 cm CA 25 B 0.540 2.4315281668 0 8 CA 50 B 0.460 2.7424652726 0 10 dmin. = 37.82 cm CA 60 B 0.440 2.8392866414 0 12.5 Adote Kx = 0.450 NBR 6118/2014, recomenda utilizar 0,450 0.628 16 Kc = 2.78973 20 Ks = 0.02805 0 Tipo de aço escolhido d kx = 42.69 cm A 1.6 0.8 3.2022956378 1.9110033644 Você está no Domínio 3. 0 Kx adotado para o problema 4 2 0.45000 Deformação no CONCRETO = 0.0035 Dimensão dos agregados Deformação no AÇO = 0.0042777778 Kc para os cálculos 9.5 4 2.5 1.6 2) Disposição das armaduras: 2.7897337797 15 As = 6.44 cm² 19 Φ long. = Ks limite 25 Total de ferro na seção = 4 barras 0.0280487805 As real = 8.04 cm² 3) Armadura mínima de Compressão: Cálculo da distribuição das barras As min = 0.96 cm² 2.552173913 2 Φ long. = Espaçamento horizontal real Total de ferro na seção = 2 barras 5.54 Md (kN.cm) = 9800 As real = 1.01 cm² Número de fileiras horizontais completas 2 4) Espaçamentos mínimos exigidos: Barras que sobram Cálculo de Psi. = 1.00000 0 Cálculo de Kc. Kc = 2.7897337797 Dimensão máxima dos grãos - dmáx = mm Número de fileiras horizontais no total Cálculo de Ks. Ks = 0.0280487805 2 2.00 1.60 eh = 3.00 cm Classe c [cm] Estribo 3.00 I 2.5 1 5 2 II 3 6.3 6.3 2.00 III 4 8 1.60 ev = 2.00 cm IV 5 1.25 6.3 2.5 5) Disposição das barras na seção: Cobrimento = 2.5 cm Distância (cm) do centro de gravidade das armaduras até a base da viga. Φ Transv. = A seção da viga terá 2 fileiras de 2 barras na base da viga, separadas a cada 5.54 cm. Estas barras estarão separadas de 2.0 centímetros na vertical. 6) Cálculo da altura (h) da viga: Distância do Centro de gravidade das armaduras (Y cg) = 5.73 cm Número de barras na 1ª camada = 2 unid Número de camadas com o número máximo de barras = 2 unid Número de barras que completam o total de barras tracionadas = 0 unid Número total de camadas na horizontal = 2 unid Altura mínima da viga = 48.42 cm Altura Adotada = 50.00 cm CA 25 CA 50 CA 60 Entrada Arm. Simples II Dimensionamento Flexão Simples em Vigas Retangulares de Concreto Armado 1) Entrada: fyk = 50 kN/cm² bW = 15 cm fck = 20 MPa Mk = 7,000 kN.cm Cob. Nominal = 2.50 cm 2) Pré-análise: d0,259 = 53.46 cm x23 = 13.85 cm d0,450 = 42.69 cm x34 = 26.81 cm 3) Dimensionamento: 9,800 KN.cm fcd = 1.43 kN/cm² fyd = 43.48 kN/cm² Es = 21000 kN/cm² Altura útil (d) deve ser entre: 42.7 a 53.5 cm d adot. = 45.00 cm 11.67 cm 0.00207 28.27 cm 17.74 cm 37.90 1,647.93 σ sd = 43.48 5.9468709677 5.95 cm² h neces. = 50.38 cm h adot. = 50.00 cm Rcc = 11,474 kN.cm Rst = 11,469 kN.cm Mud lim = 11,471 KN.cm ≥ Md = 9,800 KN.cm NÃO HÁ NECESSIDADE DE ARMADURA NA ÁREA DE COMPRESSÃO 4) Armadura mínima: ρ min = 0.0015 As min = 1.01 cm² ≥ ≤ 5) Disposição das Armaduras: Classe c [cm] F Area (Cm²) 1.227 Φ transv. = 6.3 mm I 2.5 5 0.196 0.63 Φ transv. em cm Φ long. = 12.5 mm II 3 6.3 0.312 1.25 Φ long. em cm Agregado max = 19.00 mm III 4 8 0.503 7.8 Quant. Φ long. = 6 unid IV 5 10 0.785 0.0011 Camada Φ - 3 0 unid 12.5 1.227 0.0015 Camada Φ - 2 3 unid 16 2.011 0.49 Camada Φ - 1 3 unid 20 3.142 Ԑyd = 0.00207 As real = 7.36 cm² 21.97 cm d real = 44.62 cm Trabalhando: DOMÍNIO 3 Y real = 17.58 cm 6) Calculo espaçamentos ah e av: = 2.28 cm = 2.00 cm 7) Determinação da altura d e d": Camadas Quant. As (Cm²) Y (Cm) As x Y Φ - 3 0 0.0 10.25 0.00 Φ - 2 3 3.7 7.00 25.79 Φ - 1 3 3.7 3.75 13.82 y cg = d" = 5.38 cm Somatorio 7.36 39.61 Entrada Arm. Dupla I Dimensionamento de Vigas Retangulares em C.A. com Armadura Dupla Md = 9800 2 50 1) Dados de entrada: Md,c = 8880.4017298286 Aço Kx (lim) Kc (lim) Kc(lim) Mk = 7000 kN.cm CA 25 A 0.77 1.93193 0 2.1890901551 Bitolas usuais (mm) As As' As min Aço utiliz Aço utiliz 2 Fck = 20 MPa Delta Md = 919.5982701714 CA 50 A 0.63 2.18909 0.628 6.3 5 3 1 16 10 bw = 15 cm CA 60 A 0.58 2.31100 0 Aço usado 8 σ'sd = 43.5 kN/cm² CA 25 B 0.54 2.43153 0 A 10 h = 40.00 cm CA 50 B 0.46 2.74247 0 12.5 d' = 3.80 cm CA 60 B 0.44 2.83929 0 16 d = 36.00 cm 20 O valor de Kc para seus dados é igual a 1.9836734694 Kc do problema 22.2 Com este valor de Kc (para o fck desejado), vá até a tabela ao lado e escolha o valor de Kx mais próximo e digite-o no espaço ao lado. 0.78 1.9836734694 25.4 1.6 1 1 Observação 1: O valor de Kx ultrapassa o valor de kx limite, ou seja, você está trabalhando no domínio 4, para evitar isso, será utilizada armadura dupla tomando kx no máximo que é igual a 0.628 Kx CA-60 Dessa forma ele será utilizado para o cálculo das armaduras de tração e compressão. CA-50 2) Disposição das armaduras: CA-25 4.0951390592 0.8359169578 dmin = 37.82 cm Kc Kx adotado para o problema 5 1 Área de aço da armadura de Compressão - As' = 0.66 cm² 0.01 1665.1699465064 0.628 Área de aço da armadura de tração - As = 8.23 cm² 0.02 421.1070502713 Dimensão dos agregados Escolha a bitola para As' (mm) 0.03 189.4372135993 Kc para os cálculos Ks2 9.5 4 2.5 2.22 0.04 107.9252232382 2.1890901551 0.023 15 Total de ferro na seção 2 barras de aço submetidas ao esforço de compressão. 0.05 70.0064641241 19 As' real = 1.57 cm² 0.06 49.3097967785 Ks limite Ks' 25 Escolha a bitola para As (mm) 0.07 36.7742725506 0.030715812 0.0229885057 38 0.08 28.6047848191 50 Total de ferro na seção 5 barras de aço submetidas ao esforço de tração. 0.09 22.9835044676 As real = 10.05 cm² 0.1 18.9505347594 0.11 15.9599400046 3) Espaçamentos mínimos exigidos: 0.12 13.6825202976 Dimensão máxima dos grãos - dmáx (mm) Outros valores = mm 0.13 11.9101644103 Cálculo da distribuição das barras 0.14 10.5060956947 2.4782608696 2 2 2 0.15 9.377462569 Espaçamento horizontal real 2.22 2.22 0.16 8.4594996317 5.2 1.25 3.00 0.17 7.7059469361 Número de fileiras horizontais completas 0.18 7.0805101204 2 ah = 2.22 cm av = 3 cm 0.19 6.5534235084 Barras que sobram 0.2 6.1032318066 1 4) Disposição das barras na seção: 0.21 5.7142981536 Número de fileiras horizontais no total CAA = Cobrimento = 2.50 cm 0.22 5.3749570003 3 0.23 5.0763286444 2 Φ Transv. = 0.24 4.8115344854 A seção da viga terá 2 barras dispostas na base da viga, separadas 5.20 centímetros, 0.25 4.5751633987 2.50 Cobrimento 0.26 4.4188348416 8 ferro transv. uma da outra na horizontal. Estas estarão separadas de 2.22 centímetros, na vertical. 0.27 4.274255791 0.28 4.1401695813 0.29 4.015492919 Classe c [cm] Estribo 5) Cálculo da altura (h) da viga: 0.3 3.8992869875 I 2.5 1 5 3 8 0.31 3.7907341461 II 3 6.3 Distância do Centro de gravidade das armaduras (Y cg) = 7.16 cm 0.32 3.6891189962 III 4 8 Número de barras na 1ª camada = 2.00 unid 0.33 3.5938128917 IV 5 Número de camadas com o número máximo de barras = 2.00 unid 0.34 3.5042611816 Número de barras que completam o total de barras tracionadas = 1.00 unid 0.35 3.4199726402 Número total de camadas na horizontal = 3.00 unid 0.36 3.3405106591 0.37 3.265485867 Altura minima da viga = 43.16 cm 0.38 3.1945499153 Altura Adotada = 55.00 cm 0.39 3.1273902197 0.4 3.0637254902 0.41 3.0033019159 0.42 2.9458898944 0.43 2.8912812176 0.44 2.8392866414 0.45 2.7897337797 0.46 2.7424652726 0.47 2.6973371887 0.48 2.6542176276 0.49 2.6129854927 0.5 2.5735294118 0.51 2.5357467847 0.52 2.4995429407 0.53 2.4648303915 0.54 2.4315281668 0.55 2.3995612231 0.56 2.3688599151 0.57 2.3393595235 0.58 2.310999831 0.59 2.283724742 0.6 2.2574819401 0.61 2.2322225794 0.62 2.2079010053 0.63 2.1844745028 0.64 2.1619030677 0.65 2.140149199 0.66 2.1191777106 0.67 2.0989555597 0.68 2.0794516902 0.69 2.0606368899 0.7 2.0424836601 0.71 2.0249660963 0.72 2.0080597782 0.73 1.99174167 0.74 1.9759900275 0.75 1.9607843137 0.76 1.9461051208 0.77 1.9319340979 0.78 1.9182538847 0.79 1.9050480508 0.8 1.8923010381 0.81 1.8799981093 0.82 1.8681252989 0.83 1.8566693686 0.84 1.8456177652 0.85 1.8349585824 0.86 1.8246805245 0.87 1.8147728734 0.88 1.8052254572 0.89 1.7960286215 0.9 1.7871732026 0.91 1.7786505023 0.92 1.7704522646 0.93 1.7625706539 0.94 1.754998235 0.95 1.7477279537 0.96 1.7407531194 0.97 1.7340673888 0.98 1.7276647501 0.99 1.7215395088 1 1.7156862745 CA 25 - A CA 50 - A CA 60 - A Entrada Arm. Dupla II Dimensionamento Vigas Retangulares com Armadura Dupla 1) Dados de entrada: bW = 15 cm fck = 20 MPa Mk = 7,000 kN.cm Cob. Nominal = 2.50 cm Es = 21,000 kN/cm² h adot. = 40.00 cm Altura deve ser abaixo de = 43.16 cm 2) Calculo do X : Dimensão dos agregados 1.9 cm x23 = 9.32 cm 9.5 3 x34 = 22.21 cm 0.002173913 15 X = 18.00 cm 19 3) Calculo: 25 d' = 3.50 cm d = 36.00 cm fcd = 1.43 kN/cm² F Area (Cm²) 0.785 A's fyd = 43.48 kN/cm² 5 0.196 2.011 As Md = 9800.00 kN.cm 6.3 0.312 Ԑyd = 2.17 %o 8 0.503 Md 1 = 7,554 kN.cm 10 0.785 Rsd1 = Rcd = 262.29 kN 12.5 1.227 As 1 = 6.03 cm² 16 2.011 ΔMd = 2,246 kN.cm 20 3.142 R'sd = Rsd2 = 69.11 kN As 2 = 1.59 cm² ec= 3.50 %o e's= 2.82 %o s'sd= 43.48 kN/cm² A's= 1.59 cm² As= 7.62 cm² 4) Espaçamentos mínimos exigidos: Dimensão máxima dos grãos - dmáx (mm) 2.00 1.00 ah = 2.28 cm 2.28 2.00 1.00 av = 2.00 cm 0.95 5) Disposição das Armaduras: Φ transv. = 5.0 mm Agregado max = 19.00 mm Àrea de A's: Φ long. = 10.0 mm Quant. Φ long. = 2 unid Camada Φ - 3 0 unid Camada Φ - 2 -1 unid Camada Φ - 1 3 unid Área de As: Φ long. = 16.0 mm Quant. Φ long. = 4 unid Camada Φ - 3 0 unid Camada Φ - 2 2 unid Camada Φ - 1 2 unid Entrada Seção T Dimensionamento Viga tipo T em Concreto Armado 1) Dados de entrada: bW = 15 cm fck = 20 MPa Mk = 7000 kN.cm Cobrimento = 2.50 cm h adot. = 40.00 cm Altura total da viga 0,425.bf.d².fcd = 47211.43 hf adot. = 8.00 cm Largura da mesa Md/L17 = 0.21 bf adot. = 60.00 cm Comprimento da mesa (1-M18)^0,5 = 0.89 1-M19 = 0.11 2) Dimensionamento: Y = d.M19 = 3.95 bf.d² = 77760 Md = 9800 kN.cm 0,8.X = 3.16 Kc = 7.93 fyd = 43.48 kN/cm² fcd = 1.43 kN/cm² d = 36.00 cm y = 3.95 cm hf = 8.00 cm ≥ ≤ y ≤ hf A LN corta a mesa de compressão, o calculo pode ser feito como uma seção retangular de largura bf e altura h. Click no botão acima: Mo = 186.51 kN.m Md = 98.00 kN.m Md lim (N)= 88.87 kN.m Md lim (T)= 229.64 kN.m Md lim (T) = 229.64 ≥ 98.00 = Md Seção T: Armadura Simples Planilha Seção Retangular Planilha Armadura Simples Planilha Armadura Dupla Entrada Seção T Calc Retang Dimensionamento viga tipo T calculada como viga retangular hf = 8.00 1) Dimensionamento: bf = 60.00 Md = 9800 kN.cm fcd 1.43 kN/cm² fyd = 43.48 kN/cm² y= 3.95 d = 36.00 cm 0,85.fcd.bf.y= 288.04 X Kx Kz Kmd kd Ԑsd Ԑcd As = 6.62 X 23 9.32 0.259 0.896 0.0100 0.0035 X 0.735 0.706 0.353 0.0035 0,85.fcd.bf.hf = 582.86 X 34 22.62 0.628 0.749 0.0021 0.0035 (d-hf/2) = 32.00 R8.R9 = 18,651.43 Y = 3.95 cm 2) Disposição das armaduras: As = 8.87 cm² ≥ ≤ 2) Verificação: Mlim = 18651 kN.cm ≥ Md = 9800 kN.cm Condição satisfeita: 3) Armadura minima: Entrada Entrada Seção T Seção T Arm Simples Entrada Entrada Seção T Seção T Arm Dupla Entrada Entrada Seção T Mom. Máximo Calculo de momento máximo em vigas de CA 1) Dados de entrada: fck = 20 MPa 2 50 Escolhidos Bitolas usuais (mm) Bitolas usuais de Estribo (mm) 1 bw = 15 cm 0 Aço Kx (lim) Kc (lim) Kx (lim) Kc(lim) Escolhida Cobrimento = 2.50 cm 0 CA 25 A 0.77 1.9319340979 0.628 2.1890901551 Aço utiliz Aço utiliz 2 1 Armadura Simples 2 h = 50 cm CA 50 A 0.63 2.1890901551 10 1 2 5 2 Armadura Dupla CA 60 A 0.58 2.310999831 Aço usado 12.5 1 1.25 6.3 2) Qual o tipo de armação da viga: CA 25 B 0.54 2.4315281668 A 16 8 5.00 CA 50 B 0.46 2.7424652726 20 3) Quantas barras foram utilizadas na armadura de tração: 2 CA 60 B 0.44 2.8392866414 22.2 25.4 Armadura de Tração 4) Quantas barras foram utilizadas na armadura de compressão: 4 n= 2 Cálculo da distância do centróide inferior ao estribo inferior Ks limite 0.030715812 As As' N= 0 5) Qual a bitola do estribo: 1.5707963268 4.9087385212 n'= 1 1.75 Ks2 0.023 n''= 2 6) Tamanho do agregado utilizado (mm): Outro valor de dmáx (mm): Ks' 0.0229885057 Dimensão dos agregados Espaçamento vertical Armadura de Compressão 7) Armadura de tração - Cálculo de d: 9.5 3 1.9 2 Delta Md = 8754.7351526209 15 1 n= 2 Cálculo da distância do centróide superior ao estribo inferior Qual o número de barras da camada inferior = 2 Valor de d = Md,c = 14030.2296041143 19 0.95 N= 0 Quantas vezes esta mesma camada se repete = 0 45.25 cm -4921.0141237892 25 2 n'= 0 0 Quantas barras sobram isoladas sobre a camada abaixo = 1 38 n''= 1 1.25 Número total de camadas na horizontal = 2 50 8) Armadura de compressão - Cálculo de d': Qual o número de barras da camada superior = 2 Valor de d' = Quantas vezes esta mesma camada se repete = 0 4.25 cm Quantas barras sobram isoladas sobre estas camada = 0 Número total de camadas na horizontal = 1 9) Qual a Relação d'/d: d'/d = 0.09 d'/d CA 50 CA 50 CA 60 0.05 43.5 40.5 46.9 0.1 39.1 44.9 0.15 37.5 42.4 0.2 35.5 39 Na tabela ao lado pegue o valor de 43.50 O momento máximo para viga = 22784.96 kN.cm CA 25 - A CA 50 - A CA 60 - A Entrada Cisalhamento Cálculo da armadura transversal em vigas de CA 2 Valores utilizados Vd1 102.2 Bitolas de estribo Escolhido Arm. Simples I bw 15 h 50 5 2 Estribo máximo Arm. Dupla I fck 20 Vd2 -102.2 6.3 6.3 mm 12.5 Qual a planilha foi determinada a armação da viga? Nenhuma aço 50 Md 9800 8 0.63 cm d 36 As 10.0530964915 10 Área do estribo limites para lb 10 1) Dados de entrada: d' 0 As calc 8.2337656216 12.5 0.3117245311 cm² 23.5704071499 16 bw = 15.00 cm Comprimento (L)
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