EM_2015_1 - Trabalho Prático - Cargas (1)
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Barra Carga permanente - PP estrutura sobrecarga - Axial Cortante Momento Axial Cortante kN kN kN.cm kN kN 1 -11.5 1.1 114.6 -11.4 5.2 2 -11.6 1.1 114.6 -11.4 5.2 3 1.2 0.0 0.0 5.6 0.0 4 -4.3 0.0 0.0 -18.1 0.0 5 -4.3 0.0 0.0 -18.1 0.0 6 -4.3 0.0 0.0 -18.9 0.0 7 -4.3 0.0 0.0 -18.9 0.0 8 1.2 0.0 0.0 5.6 0.0 9 2.6 0.0 0.0 11.5 0.0 10 2.6 0.0 0.0 11.5 0.0 11 3.5 0.0 0.0 14.8 0.0 12 3.5 0.0 0.0 14.8 0.0 13 2.6 0.0 0.0 11.4 0.0 14 2.6 0.0 0.0 11.4 0.0 15 0.4 0.0 0.0 0.0 0.0 16 -0.4 0.0 0.0 -3.8 0.0 17 0.4 0.0 0.0 0.0 0.0 18 -0.4 0.0 0.0 -3.8 0.0 19 0.4 0.0 0.0 0.0 0.0 20 -4.9 0.0 0.0 -20.9 0.0 21 1.3 0.0 0.0 5.3 0.0 22 0.5 0.0 0.0 1.7 0.0 23 0.5 0.0 0.0 1.7 0.0 24 1.3 0.0 0.0 5.3 0.0 25 -4.9 0.0 0.0 -20.9 0.0 V. de rolamento 0.0 -2.4 358.5 0.0 0.0
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Planinlha para cálculo do trabalho prático de Estruturas metálicas.
Transcript of EM_2015_1 - Trabalho Prático - Cargas (1)
BarraAnálise Estrutural (kN e kN m)
Carga permanente - PP estrutura sobrecarga - SC Ponte rolante - PRAxial Cortante Momento Axial Cortante Momento AxialkN kN kN.cm kN kN kN.cm kN
1 -11.5 1.1 114.6 -11.4 5.2 519.6 -60.22 -11.6 1.1 114.6 -11.4 5.2 519.6 -60.23 1.2 0.0 0.0 5.6 0.0 0.0 -9.44 -4.3 0.0 0.0 -18.1 0.0 0.0 -5.05 -4.3 0.0 0.0 -18.1 0.0 0.0 -5.06 -4.3 0.0 0.0 -18.9 0.0 0.0 -5.07 -4.3 0.0 0.0 -18.9 0.0 0.0 -5.08 1.2 0.0 0.0 5.6 0.0 0.0 -9.49 2.6 0.0 0.0 11.5 0.0 0.0 -5.2
10 2.6 0.0 0.0 11.5 0.0 0.0 -5.211 3.5 0.0 0.0 14.8 0.0 0.0 -7.612 3.5 0.0 0.0 14.8 0.0 0.0 -7.613 2.6 0.0 0.0 11.4 0.0 0.0 -5.214 2.6 0.0 0.0 11.4 0.0 0.0 -5.215 0.4 0.0 0.0 0.0 0.0 0.0 0.016 -0.4 0.0 0.0 -3.8 0.0 0.0 0.017 0.4 0.0 0.0 0.0 0.0 0.0 0.018 -0.4 0.0 0.0 -3.8 0.0 0.0 0.019 0.4 0.0 0.0 0.0 0.0 0.0 0.020 -4.9 0.0 0.0 -20.9 0.0 0.0 3.321 1.3 0.0 0.0 5.3 0.0 0.0 -1.722 0.5 0.0 0.0 1.7 0.0 0.0 1.323 0.5 0.0 0.0 1.7 0.0 0.0 1.324 1.3 0.0 0.0 5.3 0.0 0.0 -1.725 -4.9 0.0 0.0 -20.9 0.0 0.0 3.3
V. de rolamento 0.0 -2.4 358.5 0.0 0.0 0.0 0.0
Análise Estrutural (kN e kN m) 1: (1,4 PP)
Ponte rolante - PR Carga de vento 0° - V0 Carga de vento 90° - V90Cortante Momento Axial Cortante Momento Axial Cortante Momento Axial Cortante
kN kN.cm kN kN kN.cm kN kN kN.cm kN kN11.6 3357.4 28.8 17.9 1601.0 35.8 26.2 3587.8 -16.1 1.5411.6 3357.4 28.8 17.9 1601.0 21.8 10.2 2125.0 -16.17 1.54
0.0 0.0 -13.5 0.0 0.0 -25.4 0.0 0.0 1.68 00.0 0.0 46.0 0.0 0.0 48.8 0.0 0.0 -6.02 00.0 0.0 47.7 0.0 0.0 51.2 0.0 0.0 -6.02 00.0 0.0 47.7 0.0 0.0 45.0 0.0 0.0 -6.02 00.0 0.0 46.0 0.0 0.0 44.0 0.0 0.0 -6.02 00.0 0.0 -13.8 0.0 0.0 -0.2 0.0 0.0 1.68 00.0 0.0 -15.1 0.0 0.0 -28.8 0.0 0.0 3.64 00.0 0.0 -15.1 0.0 0.0 -28.8 0.0 0.0 3.64 00.0 0.0 -22.6 0.0 0.0 -34.1 0.0 0.0 4.9 00.0 0.0 -22.6 0.0 0.0 -34.1 0.0 0.0 4.9 00.0 0.0 -15.1 0.0 0.0 -25.0 0.0 0.0 3.64 00.0 0.0 -15.1 0.0 0.0 -25.0 0.0 0.0 3.64 00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.56 00.0 0.0 9.9 0.0 0.0 13.9 0.0 0.0 -0.56 00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.56 00.0 0.0 9.9 0.0 0.0 5.9 0.0 0.0 -0.56 00.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.56 00.0 0.0 52.8 0.0 0.0 67.1 0.0 0.0 -6.86 00.0 0.0 -12.9 0.0 0.0 -14.4 0.0 0.0 1.82 00.0 0.0 -5.1 0.0 0.0 -9.8 0.0 0.0 0.7 00.0 0.0 -5.1 0.0 0.0 -0.6 0.0 0.0 0.7 00.0 0.0 -12.9 0.0 0.0 -11.1 0.0 0.0 1.82 0
0.0 0.0 52.8 0.0 0.0 38.0 0.0 0.0 -6.86 0-30.1 9030.0 0.0 0.0 0.0 0.0 0.0 0.0 0 -3.346
SC COMO VARIÁVEL PRINCIPAL
1: (1,4 PP) 2: (1,4 PP +1,4 SC) 3: (1,4 PP+1,4(SC+(1,0PR)) 4: (1,4 PP+1,4(SC+(0,6V0))
Momento Axial Cortante Momento Axial Cortante Momento Axial CortantekN.cm kN kN kN.cm kN kN kN.cm kN kN
160.44 -32.06 8.82 887.88 -116.34 25.06 5588.24 -7.868 23.856160.44 -32.13 8.82 887.88 -116.41 25.06 5588.24 -7.938 23.856
0 9.52 0 0 -3.64 0 0 -1.82 00 -31.36 0 0 -38.36 0 0 7.28 00 -31.36 0 0 -38.36 0 0 8.708 00 -32.48 0 0 -39.48 0 0 7.588 00 -32.48 0 0 -39.48 0 0 6.16 00 9.52 0 0 -3.64 0 0 -2.072 00 19.74 0 0 12.46 0 0 7.056 00 19.74 0 0 12.46 0 0 7.056 00 25.62 0 0 14.98 0 0 6.636 00 25.62 0 0 14.98 0 0 6.636 00 19.6 0 0 12.32 0 0 6.916 00 19.6 0 0 12.32 0 0 6.916 00 0.56 0 0 0.56 0 0 0.56 00 -5.88 0 0 -5.88 0 0 2.436 00 0.56 0 0 0.56 0 0 0.56 00 -5.88 0 0 -5.88 0 0 2.436 00 0.56 0 0 0.56 0 0 0.56 00 -36.12 0 0 -31.5 0 0 8.232 00 9.24 0 0 6.86 0 0 -1.596 00 3.08 0 0 4.9 0 0 -1.204 00 3.08 0 0 4.9 0 0 -1.204 00 9.24 0 0 6.86 0 0 -1.596 0
0 -36.12 0 0 -31.5 0 0 8.232 0501.9 0 -3.346 501.9 0 -45.486 13143.9 0 -3.346
SC COMO VARIÁVEL PRINCIPAL
4: (1,4 PP+1,4(SC+(0,6V0)) 5: (1,4 PP+1,4(SC+(0,6V90)) 6: (1,4PP+1,4(SC+(1,0PR)+(0,6V0)))
Momento Axial Cortante Momento Axial CortantekN.cm kN kN kN.cm kN kN
2232.72 -1.988 30.828 3901.632 -92.148 40.0962232.72 -13.818 17.388 2672.88 -92.218 40.096
0 -11.816 0 0 -14.98 00 9.632 0 0 0.27999999999999 00 11.648 0 0 1.708 00 5.32 0 0 0.588 00 4.48 0 0 -0.84 00 9.352 0 0 -15.232 00 -4.452 0 0 -0.224 00 -4.452 0 0 -0.224 00 -3.024 0 0 -4.004 00 -3.024 0 0 -4.004 00 -1.4 0 0 -0.364 00 -1.4 0 0 -0.364 00 0.56 0 0 0.56 00 5.796 0 0 2.436 00 0.56 0 0 0.56 00 -0.924 0 0 2.436 00 0.56 0 0 0.56 00 20.244 0 0 12.852 00 -2.856 0 0 -3.976 00 -5.152 0 0 0.616 00 2.576 0 0 0.616 00 -0.084 0 0 -3.976 0
0 -4.2 0 0 12.852 0501.9 0 -3.346 501.9 0 -45.486
SC COMO VARIÁVEL PRINCIPAL PR COMO VARIÁVEL PRINCIPAL
6: (1,4PP+1,4(SC+(1,0PR)+(0,6V0))) 7: (1,4PP+1,4(SC+(1,0PR)+(0,6V90))) 8: (1,4 PP +1,4 PR)
Momento Axial Cortante Momento AxialkN.cm kN kN kN.cm kN
6933.08 -86.268 47.068 8601.992 -100.386933.08 -98.098 33.628 7373.24 -100.45
0 -24.976 0 0 -11.480 2.63199999999999 0 0 -13.020 4.648 0 0 -13.020 -1.68 0 0 -13.020 -2.52 0 0 -13.020 -3.808 0 0 -11.480 -11.732 0 0 -3.640 -11.732 0 0 -3.640 -13.664 0 0 -5.740 -13.664 0 0 -5.740 -8.68 0 0 -3.640 -8.68 0 0 -3.640 0.56 0 0 0.560 5.796 0 0 -0.560 0.56 0 0 0.560 -0.924 0 0 -0.560 0.56 0 0 0.560 24.864 0 0 -2.240 -5.236 0 0 -0.560 -3.332 0 0 2.520 4.396 0 0 2.520 -2.464 0 0 -0.56
0 0.42 0 0 -2.2413143.9 0 -45.486 13143.9 0
PR COMO VARIÁVEL PRINCIPAL
8: (1,4 PP +1,4 PR) 9: (1,4PP+1,4(PR+(0,8SC)) 10: (1,4PP+1,4(PR+(0,6V0)))
Cortante Momento Axial Cortante Momento AxialkN kN.cm kN kN kN.cm kN
17.78 4860.8 -113.148 23.604 5442.752 -76.18817.78 4860.8 -113.218 23.604 5442.752 -76.258
0 0 -5.208 0 0 -22.820 0 -33.292 0 0 25.620 0 -33.292 0 0 27.0480 0 -34.188 0 0 27.0480 0 -34.188 0 0 25.620 0 -5.208 0 0 -23.0720 0 9.24 0 0 -16.3240 0 9.24 0 0 -16.3240 0 10.836 0 0 -24.7240 0 10.836 0 0 -24.7240 0 9.128 0 0 -16.3240 0 9.128 0 0 -16.3240 0 0.56 0 0 0.560 0 -4.816 0 0 7.7560 0 0.56 0 0 0.560 0 -4.816 0 0 7.7560 0 0.56 0 0 0.560 0 -25.648 0 0 42.1120 0 5.376 0 0 -11.3960 0 4.424 0 0 -1.7640 0 4.424 0 0 -1.7640 0 5.376 0 0 -11.396
0 0 -25.648 0 0 42.112-45.486 13143.9 0 -45.486 13143.9 0
PR COMO VARIÁVEL PRINCIPAL
10: (1,4PP+1,4(PR+(0,6V0))) 11: (1,4PP+1,4(PR+(0,6V90))) 12: (1,4PP+1,4(PR+(0,8SC)+(0,6V0)))
Cortante Momento Axial Cortante Momento AxialkN kN.cm kN kN kN.cm kN
32.816 6205.64 -70.308 39.788 7874.552 -88.9560 0 -82.138 26.348 6645.8 -89.0260 0 -32.816 0 0 -16.5480 0 27.972 0 0 5.3480 0 29.988 0 0 6.7760 0 24.78 0 0 5.880 0 23.94 0 0 4.4520 0 -11.648 0 0 -16.80 0 -27.832 0 0 -3.4440 0 -27.832 0 0 -3.4440 0 -34.384 0 0 -8.1480 0 -34.384 0 0 -8.1480 0 -24.64 0 0 -3.5560 0 -24.64 0 0 -3.5560 0 0.56 0 0 0.560 0 11.116 0 0 3.50 0 0.56 0 0 0.560 0 4.396 0 0 3.50 0 0.56 0 0 0.560 0 54.124 0 0 18.7040 0 -12.656 0 0 -5.460 0 -5.712 0 0 0.140 0 2.016 0 0 0.140 0 -9.884 0 0 -5.46
-45.486 13143.9 29.68 0 0 18.7040 0 0 -45.486 13143.9 0
PR COMO VARIÁVEL PRINCIPAL V0 COMO VARIÁVEL PRINCIPAL
12: (1,4PP+1,4(PR+(0,8SC)+(0,6V0))) 13: (1,4PP+1,4(PR+(0,8SC)+(0,6V90))) 14:(1,0PP+1,4V0)
Cortante Momento Axial Cortante Momento Axial CortantekN kN.cm kN kN kN.cm kN kN
38.64 6787.592 -83.076 45.612 8456.504 28.82 26.1638.64 6787.592 -94.906 32.172 7227.752 28.77 26.16
0 0 -26.544 0 0 -17.7 00 0 7.7 0 0 60.1 00 0 9.716 0 0 62.48 00 0 3.612 0 0 62.48 00 0 2.772 0 0 60.1 00 0 -5.376 0 0 -18.12 00 0 -14.952 0 0 -18.54 00 0 -14.952 0 0 -18.54 00 0 -17.808 0 0 -28.14 00 0 -17.808 0 0 -28.14 00 0 -11.872 0 0 -18.54 00 0 -11.872 0 0 -18.54 00 0 0.56 0 0 0.4 00 0 6.86 0 0 13.46 00 0 0.56 0 0 0.4 00 0 0.14 0 0 13.46 00 0 0.56 0 0 0.4 00 0 30.716 0 0 69.02 00 0 -6.72 0 0 -16.76 00 0 -3.808 0 0 -6.64 00 0 3.92 0 0 -6.64 00 0 -3.948 0 0 -16.76 0
0 0 6.272 0 0 69.02 0-45.486 13143.9 0 -45.486 13143.9 0 -2.39
V0 COMO VARIÁVEL PRINCIPAL
14:(1,0PP+1,4V0) 15: (1,4PP+1,4(V0+0,8SC) 16: (1,4PP+1,4(V0+(1,0PR))) 17: (1,4PP+1,4 (V0+(0,8SC)+(1,0PR)))
Momento Axial Cortante Momento Axial Cortante Momento Axial CortantekN.cm kN kN kN.cm kN kN kN.cm kN kN
2356 11.452 32.424 2983.792 -60.06 42.84 7102.2 -72.828 48.6642356 11.382 32.424 2983.792 -60.13 42.84 7102.2 -72.898 48.664
0 -10.948 0 0 -30.38 0 0 -24.108 00 38.108 0 0 51.38 0 0 31.108 00 40.488 0 0 53.76 0 0 33.488 00 39.592 0 0 53.76 0 0 32.592 00 37.212 0 0 51.38 0 0 30.212 00 -11.368 0 0 -30.8 0 0 -24.528 00 -4.62 0 0 -24.78 0 0 -11.9 00 -4.62 0 0 -24.78 0 0 -11.9 00 -10.164 0 0 -37.38 0 0 -20.804 00 -10.164 0 0 -37.38 0 0 -20.804 00 -4.732 0 0 -24.78 0 0 -12.012 00 -4.732 0 0 -24.78 0 0 -12.012 00 0.56 0 0 0.56 0 0 0.56 00 9.044 0 0 13.3 0 0 9.044 00 0.56 0 0 0.56 0 0 0.56 00 9.044 0 0 13.3 0 0 9.044 00 0.56 0 0 0.56 0 0 0.56 00 43.652 0 0 71.68 0 0 48.272 00 -10.304 0 0 -18.62 0 0 -12.684 00 -4.536 0 0 -4.62 0 0 -2.716 00 -4.536 0 0 -4.62 0 0 -2.716 00 -10.304 0 0 -18.62 0 0 -12.684 0
0 43.652 0 0 71.68 0 0 48.272 0358.5 0 -3.346 501.9 0 -45.486 13143.9 0 -45.486
V0 COMO VARIÁVEL PRINCIPAL V90 COMO VARIÁVEL PRINCIPAL
17: (1,4PP+1,4 (V0+(0,8SC)+(1,0PR))) 18:(1,0PP+1,4V90) 19: (1,4PP+1,4(V90+0,8SC) 20: (1,4PP+1,4(V90+(0,7PR)))
Momento Axial Cortante Momento Axial Cortante Momento Axial CortantekN.cm kN kN kN.cm kN kN kN.cm kN kN
7684.152 38.62 37.78 5137.52 21.252 44.044 5765.312 -24.976 49.5887684.152 18.97 15.38 3089.6 1.582 21.644 3717.392 -44.646 27.188
0 -34.36 0 0 -27.608 0 0 -43.092 00 64.02 0 0 42.028 0 0 57.4 00 67.38 0 0 45.388 0 0 60.76 00 58.7 0 0 35.812 0 0 52.08 00 57.3 0 0 34.412 0 0 50.68 00 0.92 0 0 7.672 0 0 -7.812 00 -37.72 0 0 -23.8 0 0 -41.776 00 -37.72 0 0 -23.8 0 0 -41.776 00 -44.24 0 0 -26.264 0 0 -50.288 00 -44.24 0 0 -26.264 0 0 -50.288 00 -32.4 0 0 -18.592 0 0 -36.456 00 -32.4 0 0 -18.592 0 0 -36.456 00 0.4 0 0 0.56 0 0 0.56 00 19.06 0 0 14.644 0 0 18.9 00 0.4 0 0 0.56 0 0 0.56 00 7.86 0 0 3.444 0 0 7.7 00 0.4 0 0 0.56 0 0 0.56 00 89.04 0 0 63.672 0 0 90.314 00 -18.86 0 0 -12.404 0 0 -20.006 00 -13.22 0 0 -11.116 0 0 -11.746 00 -0.34 0 0 1.764 0 0 1.134 00 -14.24 0 0 -7.784 0 0 -15.386 0
0 48.3 0 0 22.932 0 0 49.574 013143.9 0 -2.39 358.5 0 -3.346 501.9 0 -32.844
V90 COMO VARIÁVEL PRINCIPALMínimo Solicitante Máximo Solicitante
20: (1,4PP+1,4(V90+(0,7PR))) 21: (1,4PP+1,4 (V90+(0,8SC)+(0,7PR)))
Momento Axial Cortante Momento Axial Cortante Momento Axial CortantekN.cm kN kN kN.cm kN kN kN.cm kN kN8473.612 -37.744 55.412 9055.564 -116.34 1.54 160.44 38.62 55.4126425.692 -57.414 33.012 7007.644 -116.41 0 0 28.77 48.664
0 -36.82 0 0 -43.092 0 0 9.52 00 37.128 0 0 -38.36 0 0 64.02 00 40.488 0 0 -38.36 0 0 67.38 00 30.912 0 0 -39.48 0 0 62.48 00 29.512 0 0 -39.48 0 0 60.1 00 -1.54 0 0 -30.8 0 0 9.52 00 -28.896 0 0 -41.776 0 0 19.74 00 -28.896 0 0 -41.776 0 0 19.74 00 -33.712 0 0 -50.288 0 0 25.62 00 -33.712 0 0 -50.288 0 0 25.62 00 -23.688 0 0 -36.456 0 0 19.6 00 -23.688 0 0 -36.456 0 0 19.6 00 0.56 0 0 0.4 0 0 0.56 00 14.644 0 0 -5.88 0 0 19.06 00 0.56 0 0 0.4 0 0 0.56 00 3.444 0 0 -5.88 0 0 13.46 00 0.56 0 0 0.4 0 0 0.56 00 66.906 0 0 -36.12 0 0 90.314 00 -14.07 0 0 -20.006 0 0 9.24 00 -9.842 0 0 -13.22 0 0 4.9 00 3.038 0 0 -6.64 0 0 4.9 00 -9.45 0 0 -18.62 0 0 9.24 0
0 26.166 0 0 -36.12 -45.486 0 71.68 09351.3 0 -32.844 9351.3 0 -45.486 0 0 0
Máximo Solicitante
MomentokN.cm ESFORÇOS SOLICITANTES DE CÁLCULO
9055.564 1 Descrição7684.152 2 Banzo superior
0 3 Banzo inferior0 4 Montante e diagonais0 5 Viga de rolamento0 6 Pilares
0 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 24
13143.9 25
13143.9 V. de rolamento
ESFORÇOS SOLICITANTES DE CÁLCULOBarras Tração (kN) Compressão (kN) Cortante (kN)
3,4,5,6,7,8 67.38 -43.09 -9,10,11,12,13,14 25.62 -50.29 -
15,16,17,18,19,20,21,22,23,24,25 36.12 -90.314 -Viga de rolamento - - -45.49
1.2 38.62 -116.4 55.41
ESFORÇOS SOLICITANTES DE CÁLCULOMomento (kN m)
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131449055.6
