8/18/2019 VIGA Momento Ultimo

1/2

 

CONCRETO AÇO BARRASfck(MPa)   20   fyk(MPa)   500   0 c(cm)   2.5

  1.4 1.15   t(mm)   6.3Es(MPa)   210000   e(cm)   3

e!(cm)   2SEÇ O

B(cm)   25  N#cam. $(cm)   20 25 30 35 40 45 50 55 60 65 %0 %5 &0 '0

N As(cm2) 1 2 3 4 5 6 (cm) M + MOMENTO ,-ETOR RESSTENTE -TMO + (kN.m)2 5   0.393   2 0 0 0 0 0   3.380   - - - - - - - - - - - - - -

2 6.3   0.623   2 0 0 0 0 0   3.445   4.4 - - - - - - - - - - - - -

3 6.3   0.935   3 0 0 0 0 0   3.445   6.5 8.5 10.5 - - - - - - - - - - -

2 8   1.005   2 0 0 0 0 0   3.530   6.9 9.1 11.3 13.4 - - - - - - - - - -

3 8   1.508   3 0 0 0 0 0   3.530   10.1 13.4 16.6 19.9 23.2 26.5 29.8 - - - - - - -2 10   1.571   2 0 0 0 0 0   3.630   10.4 13.8 17.2 20.7 24.1 27.5 30.9 34.3 - - - - - -

4 8   2.011   4 0 0 0 0 0   3.530   13.1 17.5 21.9 26.3 30.6 35.0 39.4 43.7 48.1 52.5 56.8 - - -

3 10   2.356   3 0 0 0 0 0   3.630   15.0 20.2 25.3 30.4 35.5 40.7 45.8 50.9 56.0 61.1 66.3 71.4 76.5 -

2 12.5   2.454   2 0 0 0 0 0   3.755   15.5 20.8 26.1 31.5 36.8 42.1 47.5 52.8 58.1 63.5 68.8 74.2 79.5 -

4 10   3.142   4 0 0 0 0 0   3.630   19.3 26.1 32.9 39.8 46.6 53.4 60.3 67.1 73.9 80.8 87.6 94.4 101.2 114.9

3 12.5   3.682   3 0 0 0 0 0   3.755   21.8 29.8 37.8 45.8 53.8 61.8 69.8 77.8 85.8 93.8 101.8 109.8 117.8 133.8

5 10   3.927   5 0 0 0 0 0   3.630   23.1 31.7 40.2 48.8 57.3 65.8 74.4 82.9 91.4 100.0 108.5 117.1 125.6 142.7

2 16   4.021   2 0 0 0 0 0   3.930   23.1 31.8 40.5 49.3 58.0 66.8 75.5 84.3 93.0 101.7 110.5 119.2 128.0 145.4

6 10   4.712   5 1 0 0 0 0   4.130   - - - - - - - - - - - - - -

4 12.5   4.909   4 0 0 0 0 0   3.755   27.2 37.8 48.5 59.2 69.9 80.5 91.2 101.9 112.5 123.2 133.9 144.6 155.2 176.6

7 10   5.498   5 2 0 0 0 0   4.487   - 39.6 51.6 63.5 75.5 87.4 99.4 111.3 123.3 135.2 147.2 159.1 171.1 195.0

3 16   6.032   3 0 0 0 0 0   3.930   - 43.9 57.0 70.2 83.3 96.4 109.5 122.6 135.7 148.8 161.9 175.1 188.2 214.4

5 12.5   6.136   5 0 0 0 0 0   3.755   - 45.0 58.3 71.6 85.0 98.3 111.6 125.0 138.3 151.7 165.0 178.3 191.7 218.4

2 20   6.283   2 0 0 0 0 0   4.130   - 44.7 58.4 72.0 85.7 99.4 113.0 126.7 140.3 154.0 167.7 181.3 195.0 222.3

8 10   6.283   5 3 0 0 0 0   4.755   - 43.0 56.7 70.3 84.0 97.7 111.3 125.0 138.6 152.3 165.9 179.6 193.3 220.6

6 12.5   7.363   5 1 0 0 0 0   4.297   - - - - - - - - - - - - - -

4 16   8.042   4 0 0 0 0 0   3.930   - - 71.0 88.5 106.0 123.5 141.0 158.4 175.9 193.4 210.9 228.4 245.9 280.8

7 12.5   8.590   5 2 0 0 0 0   4.684   - - 71.6 90.3 108.9 127.6 146.3 165.0 183.6 202.3 221.0 239.6 258.3 295.7

3 20   9.425   3 0 0 0 0 0   4.130   - - - 98.8 119.3 139.8 160.3 180.8 201.3 221.8 242.3 262.7 283.2 324.2

8 12.5   9.817   5 3 0 0 0 0   4.974   - - - 98.2 119.5 140.8 162.2 183.5 204.9 226.2 247.6 268.9 290.2 332.9

5 16   10.053   4 1 0 0 0 0   4.650   - - - - - - - - - - - - - -

9 12.5   11.045   5 4 0 0 0 0   5.199   - - - - 129.1 153.1 177.2 201.2 225.2 249.2 273.2 297.2 321.2 369.2

6 16   12.064   4 2 0 0 0 0   5.130   - - - - 137.6 163.8 190.0 216.3 242.5 268.7 294.9 321.2 347.4 399.8

 

c 

s

 

(mm)

8/18/2019 VIGA Momento Ultimo

2/2

100 120 150

- - -

- - -

- - -

- - -

- - -- - -

- - -

- - -

- - -

128.6 - -

149.8 181.9 -

159.7 193.9 -

162.9 197.9 -

- - -

197.9 240.6 304.6

218.9 266.7 338.4240.6 293.1 371.7

245.0 298.4 378.4

249.6 304.2 386.2

247.9 302.5 384.5

- - -

315.8 385.7 490.6

333.0 407.7 519.8

365.2 447.1 570.1

375.6 461.0 589.0

- - -

417.3 513.3 657.4

452.3 557.2 714.5