CPC-M3a - Exercicio Curso Basico Pav Conc (1)

1

CURSO PAVIMENTO DE CONCRETO

Projeto e Dimensionamento dos Pavimentos(MÓDULO 3)

Exercício

DIMENSIONAMENTO DE PAVIMENTO DE CONCRETO

MÉTODO : PCA 84

Revisão 1Julho de 2003

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DIMENSIONAMENTO DE PAVIMENTOS DE CONCRETO

DADOS

• Concreto → Resistência característica à tração na flexão (módulo de ruptura)aos 28 dias igual a 4,5 Mpa

fctM, k (MR28) = 4,5 MPa

• Fundação - Subleito → CBRsubl = 5%

- Sub-base → granular, com 15 cm de espessura

• Tráfego → Em função dos dados de tráfego disponíveis, elaborou-se um quadro-resumo, conforme mostrado adiante, contendo:

- distribuição das cargas por eixos;

- número de solicitações por dia;

- número total de solicitações previstas durante o período de projeto de 20 anos.

QUADRO-RESUMO

Carga por eixo(tf)

No de solicitaçõespor dia (n1)

No de solicitações duranteo período de projeto (N)

N = 20 x 365 x n1

Eixos simples

Eixos tandem duplos

Eixos tandem triplos

460150790

3.358.0001.095.0005.767.000

70120140

511.000876.000

1.022.000

50160

365.0001.168.000

1096

171615

2726

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Cargas Cargas por Número de ANÁLISE DE FADIGA ANÁLISE DE EROSÃOpor eixo,

(kN)eixo x FSC repetições

previstasNúmero de repetições

admissíveisConsumo de

fadiga (%)Número de repetições

admissíveisDanos porerosão (%)

1 2 3 4 5 6 7

EIXOS SIMPLES

EIXOS TANDEM DUPLOS

EIXOS TANDEM TRIPLOS

TOTAL TOTAL

FIGURA 4 - Folha de cálculo

DIMENSIONAMENTO DE PAVIMENTO DE CONCRETOPCA/84

Projeto ____________________________________________________________Espessura ________________ cm Juntas com BT: sim ________ não ______ksist __________________ MPa/m Acostamento de concreto: sim ___ não ___Resistência característica à Período de projeto: _________ anostração na flexão, fctM,k ______ MPa Fator de segurança de cargas, FSC _______

8 - Tensão equivalente ______________ 10 - Fator de erosão _____________9 - Fator de fadiga __________________

11 - Tensão equivalente _____________ 13 - Fator de erosão _____________12 - Fator de fadiga _________________


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Cargas Cargas por Número de ANÁLISE DE FADIGA ANÁLISE DE EROSÃOpor eixo,

(kN)eixo x FSC repetições

previstasNúmero de repetições

admissíveisConsumo de

fadiga (%)Número de repetições

admissíveisDanos porerosão (%)

1 2 3 4 5 6 7

EIXOS SIMPLES

EIXOS TANDEM DUPLOS

EIXOS TANDEM TRIPLOS

TOTAL TOTAL

FIGURA 4 - Folha de cálculo

DIMENSIONAMENTO DE PAVIMENTO DE CONCRETOPCA/84

Projeto ____________________________________________________________Espessura ________________ cm Juntas com BT: sim ________ não ______ksist __________________ MPa/m Acostamento de concreto: sim ___ não ___Resistência característica à Período de projeto: _________ anostração na flexão, fctM,k ______ MPa Fator de segurança de cargas, FSC _______

8 - Tensão equivalente ______________ 10 - Fator de erosão _____________9 - Fator de fadiga __________________



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QUADRO 1 - Aumento de k devido à presença de sub-base granular (Fonte:Adaptado da Referência 1)

Valor de suporte do subleitoCoeficiente de recalque notopo do sistema (MPa/m),

para espessuras de sub-baseiguais a (cm)

CBR(%)

k(MPa/m) 10 15 20 30

2 16 19 22 27 33

3 24 27 31 37 45

4 30 34 38 44 54

5 34 38 42 49 59

6 38 42 46 53 65

7 41 45 50 56 69

8 44 48 53 60 72

9 47 52 56 63 76

10 49 54 58 65 79

11 51 56 60 67 81

12 53 58 62 69 84

13 54 59 63 70 85

14 56 61 65 72 87

15 57 62 66 73 88

16 59 64 68 75 91

17 60 65 69 76 92

18 61 66 70 77 93

19 62 67 71 78 94

20 63 68 72 79 96

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QUADRO 5a - Tensão equivalente - Sem acostamento de concreto (Eixosimples/Eixo tandem duplo)

Espessurada placa k do sistema subleito-sub-base (MPa/m)

(cm) 20 40 60 80 140 18010 5,42/4,39 4,75/3,83 4,38/3,59 4,13/3,44 3,66/3,22 3,45/3,1511 4,74/3,88 4,16/3,35 3,85/3,12 3,63/2,97 3,23/2,76 3,06/2,6812 4,19/3,47 3,69/2,98 3,41/2,75 3,23/2,62 2,88/2,40 2,73/2,3313 3,75/3,14 3,30/2,68 3,06/2,46 2,89/2,33 2,59/2,13 2,46/2,0514 3,37/2,87 2,97/2,43 2,76/2,23 2,61/2,10 2,34/1,90 2,23/1,8315 3,06/2,64 2,70/2,23 2,51/2,04 2,37/1,92 2,13/1,72 2,03/1,6516 2,79/2,45 2,47/2,06 2,29/1,87 2,17/1,76 1,95/1,57 1,86/1,5017 2,56/2,28 2,26/1,91 2,10/1,74 1,99/1,63 1,80/1,45 1,71/1,3818 2,37/2,14 2,09/1,79 1,94/1,62 1,84/1,51 1,66/1,34 1,58/1,2719 2,19/2,01 1,94/1,67 1,80/1,51 1,71/1,41 1,54/1,25 1,47/1,1820 2,04/1,90 1,80/1,58 1,67/1,42 1,59/1,33 1,43/1,17 1,37/1,1121 1,91/1,79 1,68/1,49 1,56/1,34 1,48/1,25 1,34/1,10 1,28/1,0422 1,79/1,70 1,57/1,41 1,46/1,27 1,39/1,18 1,26/1,03 1,20/0,9823 1,68/1,62 1,48/1,34 1,38/1,21 1,31/1,12 1,18/0,98 1,13/0,9224 1,58/1,55 1,39/1,28 1,30/1,15 1,23/1,06 1,11/0,93 1,06/0,8725 1,49/1,48 1,32/1,22 1,22/1,09 1,16/1,01 1,05/0,88 1,00/0,8326 1,41/1,41 1,25/1,17 1,16/1,05 1,10/0,97 0,99/0,84 0,95/0,7927 1,34/1,36 1,18/1,12 1,10/1,00 1,04/0,93 0,94/0,80 0,90/0,7528 1,28/1,30 1,12/1,07 1,04/0,96 0,99/0,89 0,89/0,77 0,86/0,7229 1,22/1,25 1,07/1,03 0,99/0,92 0,94/0,85 0,85/0,74 0,81/0,6930 1,16/1,21 1,02/0,99 0,95/0,89 0,90/0,82 0,81/0,71 0,78/0,6631 1,11/1,16 0,97/0,96 0,90/0,86 0,86/0,79 0,77/0,68 0,74/0,6432 1,06/1,12 0,93/0,92 0,86/0,83 0,82/0,76 0,74/0,66 0,71/0,6233 1,02/1,09 0,89/0,89 0,83/0,80 0,78/0,74 0,71/0,63 0,68/0,5934 0,98/1,05 0,85/0,86 0,79/0,77 0,75/0,71 0,68/0,61 0,65/0,5735 0,94/1,02 0,82/0,84 0,76/0,75 0,72/0,69 0,65/0,59 0,62/0,55

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QUADRO 5b - Tensão equivalente - Com acostamento de concreto (Eixosimples/Eixo tandem duplo)


(cm) 20 40 60 80 140 18010 4,18/3,48 3,65/3,10 3,37/2,94 3,19/2,85 2,85/2,74 2,72/2,7211 3,68/3,07 3,23/2,71 2,99/2,56 2,83/2,47 2,55/2,35 2,43/2,3212 3,28/2,75 2,88/2,41 2,67/2,26 2,54/2,17 2,29/2,05 2,19/2,0213 2,95/2,49 2,60/2,17 2,41/2,02 2,29/1,94 2,07/1,82 1,99/1,7814 2,68/2,27 2,36/1,97 2,19/1,83 2,08/1,75 1,89/1,63 1,81/1,5915 2,44/2,08 2,15/1,80 2,00/1,67 1,90/1,59 1,73/1,48 1,66/1,4416 2,24/1,93 1,97/1,66 1,84/1,53 1,75/1,46 1,59/1,35 1,53/1,3117 2,06/1,79 1,82/1,54 1,70/1,42 1,62/1,35 1,48/1,24 1,42/1,2018 1,91/1,67 1,69/1,43 1,57/1,32 1,50/1,25 1,37/1,15 1,32/1,1119 1,77/1,57 1,57/1,34 1,46/1,23 1,40/1,17 1,28/1,07 1,23/1,0320 1,65/1,48 1,46/1,26 1,37/1,16 1,30/1,10 1,19/1,00 1,15/0,9621 1,55/1,40 1,37/1,19 1,28/1,09 1,22/1,03 1,12/0,93 1,08/0,9022 1,45/1,32 1,29/1,12 1,20/1,03 1,15/0,97 1,05/0,88 1,01/0,8523 1,37/1,26 1,21/1,07 1,13/0,98 1,08/0,92 0,99/0,83 0,96/0,8024 1,29/1,20 1,15/1,01 1,07/0,93 1,02/0,87 0,94/0,79 0,90/0,7625 1,22/1,14 1,08/0,97 1,01/0,88 0,97/0,83 0,89/0,75 0,86/0,7226 1,16/1,09 1,03/0,92 0,96/0,84 0,92/0,79 0,84/0,71 0,81/0,6827 1,10/1,04 0,98/0,88 0,91/0,81 0,87/0,76 0,80/0,68 0,77/0,6528 1,05/1,00 0,93/0,85 0,87/0,77 0,83/0,73 0,76/0,65 0,74/0,6229 1,00/0,96 0,89/0,81 0,83/0,74 0,79/0,70 0,73/0,62 0,70/0,6030 0,95/0,93 0,85/0,78 0,79/0,71 0,76/0,67 0,70/0,60 0,67/0,5731 0,91/0,89 0,81/0,75 0,76/0,69 0,72/0,64 0,67/0,58 0,64/0,5532 0,87/0,86 0,78/0,73 0,73/0,66 0,69/0,62 0,64/0,55 0,62/0,5333 0,84/0,83 0,74/0,70 0,70/0,64 0,67/0,60 0,61/0,53 0,59/0,5134 0,80/0,80 0,71/0,68 0,67/0,62 0,64/0,58 0,59/0,52 0,57/0,4935 0,77/0,78 0,69/0,66 0,64/0,60 0,61/0,56 0,57/0,50 0,55/0,47

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QUADRO 5c - Tensão equivalente para eixos tandem triplos (Semacostamento de concreto/Com acostamento de concreto)


(cm) 20 40 60 80 140 18010 3,36/2,87 3,10/2,67 3,02/2,60 2,98/2,57 2,94/2,56 2,93/2,5711 2,92/2,50 2,64/2,29 2,55/2,22 2,50/2,18 2,45/2,16 2,44/2,1612 2,60/2,20 2,30/2,00 2,20/1,93 2,14/1,89 2,08/1,85 2,07/1,8513 2,35/1,97 2,04/1,78 1,93/1,70 1,87/1,66 1,80/1,61 1,78/1,6114 2,15/1,78 1,83/1,59 1,72/1,52 1,65/1,48 1,58/1,43 1,55/1,4215 1,99/1,62 1,67/1,44 1,55/1,37 1,48/1,33 1,40/1,27 1,37/1,2616 1,85/1,49 1,54/1,32 1,41/1,24 1,34/1,20 1,25/1,15 1,23/1,1317 1,73/1,38 1,43/1,21 1,30/1,14 1,23/1,10 1,14/1,04 1,11/1,0318 1,62/1,28 1,34/1,12 1,21/1,05 1,14/1,01 1,04/0,96 1,01/0,9419 1,53/1,19 1,26/1,04 1,13/0,98 1,06/0,94 0,96/0,88 0,92/0,8620 1,45/1,12 1,19/0,98 1,07/0,91 0,99/0,87 0,89/0,82 0,85/0,8021 1,37/1,05 1,13/0,92 1,01/0,85 0,93/0,81 0,83/0,76 0,79/0,7422 1,30/0,99 1,07/0,86 0,95/0,80 0,88/0,76 0,78/0,71 0,74/0,6923 1,24/0,93 1,02/0,81 0,91/0,76 0,84/0,72 0,73/0,67 0,70/0,6524 1,18/0,88 0,97/0,77 0,87/0,71 0,80/0,68 0,69/0,63 0,66/0,6125 1,13/0,84 0,93/0,73 0,83/0,68 0,76/0,64 0,66/0,59 0,62/0,5726 1,07/0,79 0,89/0,70 0,79/0,64 0,73/0,61 0,63/0,56 0,59/0,5427 1,02/0,75 0,86/0,66 0,76/0,61 0,70/0,58 0,60/0,53 0,57/0,5228 0,98/0,72 0,82/0,63 0,73/0,59 0,67/0,56 0,58/0,51 0,54/0,4929 0,93/0,68 0,79/0,60 0,71/0,56 0,65/0,53 0,55/0,49 0,52/0,4730 0,89/0,65 0,76/0,58 0,68/0,54 0,63/0,51 0,53/0,46 0,50/0,4531 0,85/0,62 0,73/0,55 0,66/0,51 0,60/0,49 0,51/0,44 0,48/0,4332 0,81/0,59 0,70/0,53 0,63/0,49 0,58/0,47 0,50/0,43 0,46/0,4133 0,77/0,57 0,68/0,51 0,61/0,47 0,56/0,45 0,48/0,41 0,45/0,3934 0,73/0,54 0,65/0,49 0,59/0,46 0,55/0,43 0,46/0,39 0,43/0,3835 0,70/0,52 0,63/0,47 0,57/0,44 0,53/0,42 0,45/0,38 0,42/0,36

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QUADRO 6a - Fatores de erosão - Juntas trasversais com transferência decarga por entrosagem de agregados e sem acostamento deconcreto (Eixo simples/Eixo tandem duplo)


(cm) 20 40 60 80 140 18010 3,94/4,00 3,92/3,93 3,90/3,90 3,88/3,88 3,84/3,84 3,80/3,8211 3,82/3,90 3,79/3,82 3,78/3,79 3,76/3,76 3,72/3,72 3,69/3,7012 3,71/3,81 3,68/3,73 3,67/3,69 3,65/3,66 3,62/3,62 3,59/3,5913 3,61/3,73 3,58/3,65 3,56/3,60 3,55/3,57 3,52/3,52 3,50/3,4914 3,52/3,66 3,49/3,57 3,47/3,52 3,46/3,49 3,43/3,43 3,41/3,4115 3,43/3,59 3,40/3,50 3,38/3,45 3,37/3,42 3,34/3,36 3,32/3,3316 3,35/3,53 3,32/3,43 3,30/3,38 3,29/3,35 3,26/3,28 3,24/3,2617 3,28/3,48 3,24/3,37 3,22/3,32 3,21/3,28 3,18/3,22 3,17/3,1918 3,21/3,42 3,17/3,32 3,15/3,26 3,14/3,23 3,11/3,16 3,10/3,1319 3,15/3,37 3,11/3,27 3,08/3,21 3,07/3,17 3,04/3,10 3,03/3,0720 3,09/3,33 3,04/3,22 3,02/3,16 3,01/3,12 2,98/3,05 2,96/3,0121 3,04/3,28 2,99/3,17 2,96/3,11 2,95/3,07 2,92/3,00 2,90/2,9622 2,98/3,24 2,93/3,13 2,90/3,07 2,89/3,03 2,86/2,95 2,85/2,9223 2,93/3,20 2,88/3,09 2,85/3,03 2,83/2,98 2,80/2,91 2,79/2,8724 2,89/3,16 2,83/3,05 2,80/2,99 2,78/2,94 2,75/2,86 2,74/2,8325 2,84/3,13 2,78/3,01 2,75/2,95 2,73/2,91 2,70/2,82 2,69/2,7926 2,80/3,09 2,73/2,98 2,70/2,91 2,69/2,87 2,65/2,79 2,64/2,7527 2,76/3,06 2,69/2,94 2,66/2,88 2,64/2,83 2,61/2,75 2,59/2,7128 2,72/3,03 2,65/2,91 2,62/2,84 2,60/2,80 2,56/2,71 2,55/2,6829 2,68/3,00 2,61/2,88 2,58/2,81 2,56/2,77 2,52/2,68 2,50/2,6430 2,65/2,97 2,57/2,85 2,54/2,78 2,52/2,74 2,48/2,65 2,46/2,6131 2,61/2,94 2,54/2,82 2,50/2,75 2,48/2,71 2,44/2,62 2,42/2,5832 2,58/2,91 2,50/2,79 2,47/2,72 2,44/2,68 2,40/2,59 2,38/2,5533 2,55/2,89 2,47/2,77 2,43/2,70 2,41/2,65 2,36/2,56 2,35/2,5234 2,52/2,86 2,44/2,74 2,40/2,67 2,37/2,62 2,33/2,53 2,31/2,4935 2,49/2,84 2,41/2,71 2,37/2,65 2,34/2,60 2,29/2,51 2,28/2,47

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QUADRO 6b - Fatores de erosão - Juntas trasversais com barras detransferência e sem acostamento de concreto (Eixo simples/Eixo tandem duplo)


(cm) 20 40 60 80 140 18010 3,76/3,83 3,75/3,79 3,74/3,77 3,74/3,76 3,72/3,72 3,70/3,7011 3,63/3,71 3,62/3,67 3,61/3,65 3,61/3,63 3,59/3,60 3,58/3,5812 3,52/3,61 3,50/3,56 3,49/3,54 3,49/3,52 3,47/3,49 3,46/3,4713 3,41/3,52 3,39/3,47 3,39/3,44 3,38/3,43 3,37/3,39 3,35/3,3714 3,31/3,43 3,30/3,38 3,29/3,35 3,28/3,33 3,27/3,30 3,26/3,2815 3,22/3,36 3,21/3,30 3,20/3,27 3,19/3,25 3,17/3,21 3,16/3,1916 3,14/3,28 3,12/3,22 3,11/3,19 3,10/3,17 3,09/3,13 3,08/3,1217 3,06/3,22 3,04/3,15 3,03/3,12 3,02/3,10 3,01/3,06 3,00/3,0418 2,99/3,16 2,97/3,09 2,96/3,06 2,95/3,03 2,93/2,99 2,92/2,9719 2,92/3,10 2,90/3,03 2,88/2,99 2,88/2,97 2,86/2,93 2,85/2,9120 2,85/3,05 2,83/2,97 2,82/2,94 2,81/2,91 2,79/2,87 2,78/2,8521 2,79/2,99 2,77/2,92 2,75/2,88 2,75/2,86 2,73/2,81 2,72/2,7922 2,73/2,95 2,71/2,87 2,69/2,83 2,69/2,80 2,67/2,76 2,66/2,7323 2,67/2,90 2,65/2,82 2,64/2,78 2,63/2,75 2,61/2,70 2,60/2,6824 2,62/2,86 2,60/2,78 2,58/2,73 2,57/2,71 2,55/2,66 2,54/2,6325 2,57/2,82 2,54/2,73 2,53/2,69 2,52/2,66 2,50/2,61 2,49/2,5926 2,52/2,78 2,49/2,69 2,48/2,65 2,47/2,62 2,45/2,56 2,44/2,5427 2,47/2,74 2,44/2,65 2,43/2,61 2,42/2,58 2,40/2,52 2,39/2,5028 2,42/2,71 2,40/2,62 2,38/2,57 2,37/2,54 2,35/2,48 2,34/2,4629 2,38/2,67 2,35/2,58 2,34/2,53 2,33/2,50 2,31/2,44 2,30/2,4230 2,34/2,64 2,31/2,55 2,30/2,50 2,29/2,46 2,26/2,41 2,26/2,3831 2,29/2,61 2,27/2,51 2,25/2,46 2,24/2,43 2,22/2,37 2,21/2,3432 2,25/2,58 2,23/2,48 2,21/2,43 2,20/2,40 2,18/2,33 2,17/2,3133 2,21/2,55 2,19/2,45 2,17/2,40 2,16/2,36 2,14/2,30 2,13/2,2834 2,18/2,52 2,15/2,42 2,14/2,37 2,12/2,33 2,10/2,27 2,09/2,2435 2,14/2,49 2,11/2,39 2,10/2,34 2,09/2,30 2,07/2,24 2,06/2,21

11

QUADRO 7a - Fatores de erosão - Juntas trasversais com entrosagem deagregados e acostamento de concreto (Eixo simples/Eixotandem duplo)


(cm) 20 40 60 80 140 18010 3,45/3,45 3,41/3,36 3,39/3,33 3,38/3,31 3,34/3,28 3,31/3,2711 3,34/3,36 3,30/3,27 3,28/3,22 3,27/3,20 3,23/3,16 3,20/3,1512 3,24/3,28 3,20/3,18 3,18/3,13 3,16/3,11 3,13/3,06 3,11/3,0413 3,15/3,21 3,11/3,11 3,08/3,05 3,07/3,02 3,04/2,97 3,02/2,9514 3,07/3,15 3,02/3,04 3,00/2,98 2,98/2,95 2,95/2,89 2,93/2,8615 2,99/3,09 2,94/2,98 2,92/2,92 2,90/2,88 2,87/2,82 2,85/2,7916 2,91/3,04 2,87/2,92 2,84/2,86 2,83/2,82 2,80/2,75 2,78/2,7217 2,85/2,99 2,80/2,87 2,77/2,81 2,76/2,77 2,73/2,69 2,71/2,6618 2,78/2,94 2,73/2,82 2,71/2,76 2,69/2,71 2,66/2,64 2,64/2,6119 2,73/2,90 2,67/2,77 2,64/2,71 2,63/2,67 2,60/2,59 2,58/2,5520 2,67/2,86 2,61/2,73 2,59/2,67 2,57/2,62 2,54/2,54 2,52/2,5121 2,62/2,82 2,56/2,69 2,53/2,63 2,51/2,58 2,48/2,50 2,47/2,4622 2,57/2,78 2,51/2,66 2,48/2,59 2,46/2,54 2,43/2,46 2,41/2,4223 2,52/2,75 2,46/2,62 2,43/2,55 2,41/2,50 2,38/2,42 2,36/2,3824 2,47/2,72 2,41/2,59 2,38/2,52 2,36/2,47 2,33/2,38 2,31/2,3425 2,43/2,69 2,37/2,55 2,34/2,48 2,32/2,43 2,28/2,35 2,27/2,3126 2,39/2,66 2,33/2,52 2,29/2,45 2,27/2,40 2,24/2,31 2,22/2,2727 2,35/2,63 2,28/2,49 2,25/2,42 2,23/2,37 2,20/2,28 2,18/2,2428 2,31/2,60 2,25/2,47 2,21/2,39 2,19/2,34 2,16/2,25 2,14/2,2129 2,28/2,58 2,21/2,44 2,17/2,37 2,15/2,32 2,12/2,22 2,10/2,1830 2,24/2,55 2,17/2,41 2,14/2,34 2,12/2,29 2,08/2,19 2,06/2,1531 2,21/2,53 2,14/2,39 2,10/2,31 2,08/2,26 2,04/2,17 2,02/2,1332 2,18/2,50 2,11/2,36 2,07/2,29 2,05/2,24 2,01/2,14 1,99/2,1033 2,15/2,48 2,07/2,34 2,04/2,27 2,01/2,21 1,97/2,12 1,95/2,0734 2,12/2,46 2,04/2,32 2,01/2,24 1,98/2,19 1,94/2,09 1,92/2,0535 2,09/2,44 2,01/2,30 1,97/2,22 1,95/2,17 1,91/2,07 1,89/2,03

12

QUADRO 7b - Fatores de erosão - Juntas trasversais com barras detransferência e acostamento de concreto (Eixo simples/Eixotandem duplo)


(cm) 20 40 60 80 140 18010 3,27/3,25 3,24/3,17 3,22/3,14 3,21/3,12 3,17/3,11 3,15/3,1111 3,16/3,16 3,12/3,07 3,10/3,03 3,09/3,00 3,05/2,98 3,03/2,9712 3,05/3,08 3,01/2,98 2,99/2,93 2,98/2,90 2,94/2,86 2,92/2,8413 2,96/3,01 2,92/2,90 2,89/2,85 2,88/2,81 2,84/2,76 2,82/2,7414 2,87/2,94 2,82/2,83 2,80/2,77 2,78/2,74 2,75/2,67 2,73/2,6515 2,79/2,88 2,74/2,77 2,72/2,71 2,70/2,67 2,67/2,60 2,65/2,5716 2,71/2,82 2,66/2,71 2,64/2,65 2,62/2,60 2,59/2,53 2,57/2,5017 2,64/2,77 2,59/2,65 2,57/2,59 2,55/2,55 2,51/2,46 2,49/2,4318 2,57/2,72 2,52/2,60 2,50/2,54 2,48/2,49 2,44/2,41 2,42/2,3719 2,51/2,67 2,46/2,56 2,43/2,49 2,41/2,44 2,38/2,35 2,36/2,3220 2,45/2,63 2,40/2,51 2,37/2,44 2,35/2,40 2,31/2,31 2,30/2,2721 2,39/2,58 2,34/2,47 2,31/2,40 2,29/2,35 2,26/2,26 2,24/2,2222 2,34/2,54 2,29/2,43 2,26/2,36 2,24/2,31 2,20/2,22 2,18/2,1823 2,29/2,50 2,23/2,39 2,21/2,32 2,19/2,27 2,15/2,18 2,13/2,1324 2,24/2,46 2,18/2,35 2,16/2,28 2,13/2,23 2,10/2,14 2,08/2,1025 2,19/2,43 2,14/2,31 2,11/2,24 2,09/2,20 2,05/2,10 2,03/2,0626 2,15/2,39 2,09/2,28 2,06/2,21 2,04/2,16 2,00/2,07 1,98/2,0227 2,10/2,36 2,05/2,24 2,02/2,18 2,00/2,13 1,96/2,03 1,94/1,9928 2,06/2,32 2,01/2,21 1,98/2,14 1,95/2,10 1,91/2,00 1,89/1,9629 2,02/2,29 1,97/2,18 1,93/2,11 1,91/2,06 1,87/1,97 1,85/1,9330 1,98/2,26 1,93/2,15 1,90/2,08 1,87/2,03 1,83/1,94 1,81/1,9031 1,95/2,23 1,89/2,12 1,86/2,05 1,84/2,01 1,79/1,91 1,77/1,8732 1,91/2,20 1,85/2,09 1,82/2,03 1,80/1,98 1,76/1,88 1,74/1,8433 1,87/2,17 1,82/2,06 1,78/2,00 1,76/1,95 1,72/1,86 1,70/1,8134 1,84/2,15 1,78/2,04 1,75/1,97 1,73/1,92 1,69/1,83 1,67/1,7935 1,81/2,12 1,75/2,01 1,72/1,95 1,69/1,90 1,65/1,80 1,63/1,76

13

QUADRO 8a - Fatores de erosão para eixos tandem triplos - Juntastrasversais com entrosagem de agregados (Sem acostamentode concreto / Com acostamento de concreto)


(cm) 20 40 60 80 140 18010 4,03/3,44 3,93/3,35 3,88/3,30 3,84/3,27 3,75/3,22 3,70/3,1911 3,93/3,36 3,84/3,26 3,78/3,20 3,74/3,17 3,66/3,12 3,61/3,0912 3,85/3,29 3,75/3,18 3,70/3,12 3,66/3,09 3,57/3,02 3,53/2,9913 3,77/3,23 3,68/3,11 3,62/3,05 3,58/3,01 3,50/2,94 3,45/2,9114 3,70/3,17 3,60/3,04 3,55/2,98 3,51/2,94 3,42/2,87 3,38/2,8315 3,64/3,12 3,54/2,99 3,48/2,92 3,44/2,88 3,36/2,80 3,32/2,7716 3,58/3,08 3,47/2,94 3,42/2,87 3,38/2,82 3,29/2,74 3,25/2,7017 3,52/3,03 3,42/2,89 3,36/2,82 3,32/2,77 3,23/2,69 3,19/2,6518 3,47/2,99 3,36/2,85 3,30/2,77 3,26/2,72 3,18/2,63 3,14/2,6019 3,42/2,96 3,31/2,81 3,25/2,73 3,21/2,68 3,13/2,59 3,09/2,5520 3,37/2,93 3,26/2,77 3,20/2,69 3,16/2,64 3,08/2,54 3,04/2,5021 3,33/2,89 3,22/2,74 3,16/2,65 3,11/2,60 3,03/2,50 2,99/2,4622 3,29/2,87 3,18/2,71 3,11/2,62 3,07/2,56 2,99/2,47 2,95/2,4223 3,25/2,84 3,13/2,68 3,07/2,59 3,03/2,53 2,94/2,43 2,91/2,3824 3,21/2,81 3,10/2,65 3,03/2,56 2,99/2,50 2,90/2,40 2,86/2,3525 3,17/2,79 3,06/2,62 2,99/2,53 2,95/2,47 2,87/2,37 2,83/2,3226 3,14/2,77 3,02/2,60 2,96/2,50 2,91/2,44 2,83/2,34 2,79/2,2927 3,10/2,74 2,99/2,57 2,92/2,48 2,88/2,42 2,79/2,31 2,75/2,2628 3,07/2,72 2,96/2,55 2,89/2,46 2,85/2,39 2,76/2,28 2,72/2,2329 3,04/2,70 2,92/2,53 2,86/2,43 2,81/2,37 2,73/2,26 2,69/2,2030 3,01/2,68 2,89/2,51 2,83/2,41 2,78/2,35 2,69/2,23 2,65/2,1831 2,98/2,67 2,87/2,49 2,80/2,39 2,75/2,33 2,66/2,21 2,62/2,1632 2,96/2,65 2,84/2,47 2,77/2,37 2,72/2,31 2,63/2,19 2,59/2,1333 2,93/2,63 2,81/2,45 2,74/2,35 2,70/2,29 2,61/2,17 2,57/2,1134 2,91/2,61 2,78/2,43 2,72/2,33 2,67/2,27 2,58/2,15 2,54/2,0935 2,88/2,60 2,76/2,42 2,69/2,32 2,64/2,25 2,55/2,13 2,51/2,07

14

QUADRO 8b - Fatores de erosão para eixos tandem triplos - Juntastrasversais com barras de transferência (Sem acostamentode concreto / Com acostamento de concreto)


(cm) 20 40 60 80 140 18010 3,86/3,27 3,80/3,17 3,75/3,13 3,71/3,12 3,62/3,07 3,56/3,0311 3,76/3,19 3,69/3,07 3,65/3,02 3,62/3,00 3,53/2,95 3,48/2,9212 3,68/3,12 3,60/2,99 3,56/2,93 3,52/2,90 3,45/2,85 3,40/2,8213 3,60/3,06 3,51/2,92 3,47/2,85 3,44/2,81 3,37/2,76 3,33/2,7314 3,53/3,00 3,43/2,86 3,39/2,78 3,36/2,74 3,29/2,67 3,26/2,6415 3,47/2,95 3,36/2,80 3,31/2,73 3,28/2,67 3,22/2,59 3,19/2,5616 3,41/2,91 3,30/2,76 3,25/2,67 3,21/2,62 3,15/2,52 3,12/2,4917 3,35/2,86 3,24/2,71 3,19/2,62 3,15/2,57 3,08/2,47 3,05/2,4318 3,30/2,82 3,19/2,67 3,13/2,58 3,09/2,52 3,02/2,41 2,99/2,3719 3,25/2,79 3,14/2,63 3,08/2,54 3,04/2,48 2,96/2,37 2,93/2,3220 3,21/2,75 3,09/2,59 3,03/2,50 2,99/2,44 2,91/2,32 2,88/2,2821 3,16/2,72 3,05/2,56 2,99/2,47 2,94/2,40 2,86/2,28 2,83/2,2322 3,12/2,68 3,01/2,53 2,94/2,43 2,90/2,37 2,82/2,25 2,78/2,2023 3,08/2,65 2,97/2,49 2,90/2,40 2,86/2,34 2,77/2,21 2,74/2,1624 3,05/2,62 2,93/2,46 2,86/2,37 2,82/2,31 2,73/2,18 2,69/2,1325 3,01/2,59 2,89/2,44 2,83/2,34 2,78/2,28 2,69/2,15 2,65/2,1026 2,98/2,57 2,86/2,41 2,79/2,32 2,74/2,25 2,66/2,12 2,62/2,0727 2,94/2,54 2,82/2,38 2,76/2,29 2,71/2,22 2,62/2,10 2,58/2,0428 2,91/2,51 2,79/2,36 2,72/2,26 2,68/2,20 2,59/2,07 2,55/2,0129 2,88/2,49 2,76/2,33 2,69/2,24 2,65/2,17 2,55/2,04 2,51/1,9930 2,85/2,47 2,73/2,31 2,66/2,22 2,62/2,15 2,52/2,02 2,48/1,9631 2,82/2,44 2,70/2,29 2,63/2,19 2,59/2,13 2,49/2,00 2,45/1,9432 2,80/2,42 2,68/2,26 2,61/2,17 2,56/2,10 2,46/1,97 2,42/1,9233 2,77/2,40 2,65/2,24 2,58/2,15 2,53/2,08 2,44/1,95 2,40/1,8934 2,74/2,38 2,62/2,22 2,55/2,13 2,50/2,06 2,41/1,93 2,37/1,8735 2,72/2,36 2,60/2,20 2,53/2,11 2,48/2,04 2,38/1,91 2,34/1,85

15

FIGURA 5 - Análise de Fadiga: número admissível de repetições de cargaem função do Fator de Fadiga (com e sem acostamento deconcreto)

Chave

NÚME

RO A

DMIS

SÍVE

L DE

REP

ETIÇ

ÕES

DE C

ARGA

CARG

A PO

R EI

XO T

ANDE

M DU

PLO

(kN)

CARG

A PO

R EI

XO S

IMPL

ES (k

N)

FATO

R DE

FADI

GA

16

FIGURA 6a - Análise de Erosão: número admissível de repetições de cargaem função do Fator de Erosão (sem acostamento de concreto)

Chave

NÚME

RO A

DMIS

SÍVE

L DE

REP

ETIÇ

ÕES

DE C

ARGA

FATO

R DE

ERO

SÃO

CARG

A PO

R EI

XO T

ANDE

M DU

PLO

(kN)

CARG

A PO

R EI

XO S

IMPL

ES (k

N)

17

FIGURA 6b - Análise de Erosão: número admissível de repetições de cargaem função do Fator de Erosão (com acostamento de concreto)

CARG

A PO

R EI

XO S

IMPL

ES (k

N)

CARG

A PO

R EI

XO T

ANDE

M DU

PLO

(kN)

FATO

R DE

ERO

SÃO

NÚME

RO A

DMIS

SÍVE

L DE

REP

ETIÇ

ÕES

DE C

ARGA

Chave

18

FIGURA 10 - Ábaco de dimensionamento de pavimento de concreto compostonão monolítico

Resistência característica do concreto roladoà tração na flexão (fctM,k), MPa

Espe

ssur

a teó

rica n

eces

sária

de co

ncre

to sim

ples,

cm (f ctM

,k en

tre 4,

1 e 4,

8 MPa

)

Espe

ssur

a teó

rica n

eces

sária

de co

ncre

to sim

ples,

cm (f ctM

,k en

tre 3,

4 e 4,

1 MPa

)

15 cm sub-base

13 cm sub-base10 cm sub-base

As medidas mostradas nas curvas sãoas espessuras necessárias de concretosimples na camada de topo dopavimento, em cm

Chave1 ou 2

19

FIGURA 11 - Ábaco de dimensionamento de pavimento de concreto compostomonolítico

Espe

ssur

a teó

rica n

eces

sária

de co

ncre

to sim

ples,

cm (f ctM

,k en

tre 3,

4 e 4,

1 MPa

)

Espe

ssur

a teó

rica n

eces

sária

de co

ncre

to sim

ples,

cm (f ctM

,k en

tre 4,

1 e 4,

8 MPa

)

8 cmEspessura da camadade topo

As medidas mostradas nas curvas sãoas espessuras da sub-base de concretopobre, em cm

Resistência característica do concreto roladoà tração na flexão (fctM,k), MPa

Chave1 ou 2

20

(ESC. 1:250)

CPC-M3a - Exercicio Curso Basico Pav Conc (1)

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Transcript of CPC-M3a - Exercicio Curso Basico Pav Conc (1)