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FLEXÃO (POS) DIMENSIONAMENTO À FLEXÃO Mesa Alma Seção bf bw hf h d c d1 fck Aço M K6 kx y Verificação k3 As Asmín Φ NB Asef Kx Y (cm) Armadura Kxf k6f k3f M1 As1 ΔM k6Δ k3Δ As2 As Φ NB NB adotado cm MPa kN.m cm cm².tf cm² cm² mm cm² tf.cm cm² tf.cm cm² cm² mm Longarina 01 2+ 100 35 10 140 136.00 4.0 4.00 35 CA 50 2,052.50 90.11 0.00 Viga T falsa 0.329 4.97 7.35 10 10 7.853981634 0.10 10.88 "T" VERDADEIRA 0.09 97.04 0.334 12,389.12 30.43 8,135.88 79.57 0.337 20.16 50.59 25 10.1 11 4+ 100 35 10 140 136.00 4.0 4.00 35 CA 50 2,052.50 90.11 0.00 Viga T falsa 0.10 10.88 "T" VERDADEIRA 0.09 97.04 0.334 12,389.12 30.43 8,135.88 79.57 0.337 20.16 50.59 25 10.1 11 Longarina 02 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,492.90 87.26 0.00 Viga T falsa 0.155 24.55 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 27,476.79 64.21 0.341 47.32 76.50 25 15.3 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,492.90 87.26 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 27,476.79 64.21 0.341 47.32 76.50 25 15.3 16 Longarina 03 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,578.20 85.63 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,329.79 62.27 0.341 48.79 77.97 25 15.6 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,578.20 85.63 0.00 Viga T falsa 0.17 26.93 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,329.79 62.27 0.341 48.79 77.97 25 15.6 16 Longarina 04 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,553.10 86.10 0.00 Viga T falsa 0.15 23.76 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,078.79 62.83 0.341 48.36 77.54 25 15.5 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,553.10 86.10 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,078.79 62.83 0.341 48.36 77.54 25 15.5 16 Longarina 05 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,560.60 85.96 0.00 Viga T falsa 0.15 23.76 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,153.79 62.66 0.341 48.49 77.67 25 15.5 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,560.60 85.96 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,153.79 62.66 0.341 48.49 77.67 25 15.5 16 Longarina 06 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,555.60 86.06 0.00 Viga T falsa 0.155 24.55 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,103.79 62.77 0.341 48.40 77.58 25 15.5 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,555.60 86.06 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,103.79 62.77 0.341 48.40 77.58 25 15.5 16 Longarina 07 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,570.70 85.77 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,254.79 62.44 0.341 48.66 77.84 25 15.6 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,570.70 85.77 0.00 Viga T falsa 0.18 28.51 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 28,254.79 62.44 0.341 48.66 77.84 25 15.6 16 Longarina 08 2+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,475.40 87.60 0.00 Viga T falsa 0.16 25.34 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 27,301.79 64.62 0.341 47.02 76.20 25 15.2 16 4+ 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,475.40 87.60 0.00 Viga T falsa 0.165 26.14 "T" VERDADEIRA 0.07 123.55 0.331 17,452.21 29.18 27,301.79 64.62 0.341 47.02 76.20 25 15.2 16 FLEXÃO (NEG) Seção bf bw hf h d c d1 fck Aço M K6 Verificação K6 e K3 lim Mlim (tf.cm) As Lim (cm²) ΔM (tf.cm) As 2 (cm²) As (cm²) K6 K3 As Φ NB As tração NB As comp. NB adotado cm MPa kN.m K6 lim K3lim tração comp. cm² mm tração comp. Long. 1 1 e 5- 100 35 10 140 136.00 4.0 4.00 35 CA 50 3,388.60 19.10 Arm. Simples 22.21 0.393 - - - - - - 19.10 0.381 94.93 25 19.0 - 19 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 4,165.10 42.36 Arm. Simples - - - - - - - - 42.36 0.352 74.05 25 14.8 - 15 - Long. 2 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,641.30 26.56 Arm. Simples - - - - - - - - 26.56 0.377 126.45 25 25.3 - 26 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,691.10 47.80 Arm. Simples - - - - - - - - 47.80 0.348 64.87 25 13.0 - 13 - Long. 3 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,818.40 25.87 Arm. Simples - - - - - - - - 25.87 0.379 130.51 25 26.1 - 27 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,868.20 45.61 Arm. Simples - - - - - - - - 45.61 0.349 68.18 25 13.6 - 14 - Long. 4 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,766.30 26.07 Arm. Simples - - - - - - - - 26.07 0.390 133.28 25 26.7 - 27 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,816.20 46.23 Arm. Simples - - - - - - - - 46.23 0.349 67.27 25 13.4 - 14 - Long. 5 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,781.90 26.01 Arm. Simples - - - - - - - - 26.01 0.378 129.47 25 25.9 - 26 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,831.80 46.04 Arm. Simples - - - - - - - - 46.04 0.349 67.54 25 13.5 - 14 - Long. 6 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,771.50 26.05 Arm. Simples - - - - - - - - 26.05 0.378 129.27 25 25.9 - 26 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,821.40 46.17 Arm. Simples - - - - - - - - 46.17 0.349 67.36 25 13.5 - 14 - Long. 7 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,802.70 25.93 Arm. Simples - - - - - - - - 25.93 0.379 130.21 25 26.0 - 27 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,852.60 45.79 Arm. Simples - - - - - - - - 45.79 0.348 67.71 25 13.5 - 14 - Long. 8 1 e 5- 100 45 11 220 198.00 3.0 22.00 35 CA 50 6,604.90 26.71 Arm. Simples - - - - - - - - 26.71 0.376 125.43 25 25.1 - 26 - 3- 100 45 11 220 198.00 3.0 22.00 35 CA 50 3,654.70 48.27 Arm. Simples - - - - - - - - 48.27 0.348 64.23 25 12.8 - 13 - Armadura mínima Armadura Mínima Área da Secsão Transversal (m²) As Mín (cm²) ᶲ NB As Mín NB Adotado mm 1.07 53.5 20 16.98 17 armadura de pele Armadura de Pele Área da secção transversal (m²) As (cm²) ᶲ NB As NB As Adotado mm 1.07 10.7 6.3 16.98 17 CORTANTE Dados a) Verificação do concreto: 1° Cortante b) Cálculo dos estribos c) Seção de aço - Armadura mínima Seção de aço Maior Seção de aço Menor Nº bw d fck Vs maior Vs 2° trecho Vsd VRd2 Verificação fctm fctkinf fctd Vc Vsw maior (Asw/s) Vsw 2° trecho (Asw/s) ρwmín (Asw/s)mín Vsd min Φ (Asw/s)mín S Φ (Asw/s) S Φ (Asw/s) S cm Mpa kN kN kN kN Mpa Mpa kN kN cm²/m kN cm²/m % cm²/m kN mm NB cm mm NB cm mm NB cm L 01 45 198 35 1,653.1 1,541.5 2,314.34 5,172.26 OK 3.21 2.25 1.61 860.71 1,453.63 18.76 1,297.39 16.75 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 5 20 L 02 45 198 35 1,539.5 1,427.7 2,155.30 5,172.26 OK 3.21 2.25 1.61 860.71 1,294.59 16.71 1,138.07 14.69 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 03 45 198 35 1,582.0 1,470.0 2,214.80 5,172.26 OK 3.21 2.25 1.61 860.71 1,354.09 17.48 1,197.29 15.45 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 04 45 198 35 1,569.4 1,457.4 2,197.16 5,172.26 OK 3.21 2.25 1.61 860.71 1,336.45 17.25 1,179.65 15.23 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 05 45 198 35 1,573.3 1,461.3 2,202.62 5,172.26 OK 3.21 2.25 1.61 860.71 1,341.91 17.32 1,185.11 15.30 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 06 45 198 35 1,570.8 1,458.7 2,199.12 5,172.26 OK 3.21 2.25 1.61 860.71 1,338.41 17.27 1,181.47 15.25 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 07 45 198 35 1,577.9 1,466.2 2,209.06 5,172.26 OK 3.21 2.25 1.61 860.71 1,348.35 17.40 1,191.97 15.38 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25 L 08 45 198 35 1,530.3 1,418.9 2,142.42 5,172.26 OK 3.21 2.25 1.61 860.71 1,281.71 16.54 1,125.75 14.53 0.130 5.85 1,313.96 6.3 10 10 16.0 5 20 16.0 4 25
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