curva mx qx

19
espçamento(m)= 1.05 corr(t/m)= 0.526275 peso(t)= 2696.15 rho(kg/m3)= 1024 comprimento(m)= 94.5 vomlume(m3)= 2632.962 delta(m)= 0.525 deslocamento(t)= 2696.15 baliza peso(t/m) peso*delta(t) eso(kg)+ corr(kg) comp.(m) - 0 - - 0 0 0 0.097 0.5 13.6 7.14 7416.29 0.525 0.097 1 13.6 7.14 7416.29 1.05 1,050 0.671 1.5 15.2 7.98 8256.29 1.575 0.671 2 16 8.4 8676.29 2.1 2,100 1.606 2.5 17.2 9.03 9306.29 2.625 1.606 3 17.2 9.03 9306.29 3.15 3,150 2.747 3.5 13.6 7.14 7416.29 3.675 2.747 4 13.6 7.14 7416.29 4.2 4,200 3.992 4.5 14.8 7.77 8046.29 4.725 3.992 5 14.8 7.77 8046.29 5.25 5,250 5.275 5.5 12 6.3 6576.29 5.775 5.275 6 12 6.3 6576.29 6.3 6,300 6.560 6.5 15.8 8.295 8571.29 6.825 6.560 7 15.8 8.295 8571.29 7.35 7,350 7.857 7.5 14.4 7.56 7836.29 7.875 7.857 8 25 13.125 13401.29 8.4 8,400 9.149 8.5 26 13.65 13926.29 8.925 9.149 9 13.2 6.93 7206.29 9.45 9,450 10.435 9.5 15.2 7.98 8256.29 9.975 10.435 10 15.2 7.98 8256.29 10.5 10,500 11.710 10.5 23.2 12.18 12456.29 11.025 11.710 11 28.8 15.12 15396.29 11.55 11,550 12.992 11.5 13.2 6.93 7206.29 12.075 12.992 12 13.2 6.93 7206.29 12.6 12,600 14.276 12.5 15.6 8.19 8466.29 13.125 14.276 13 15.6 8.19 8466.29 13.65 13,650 15.566 13.5 15.6 8.19 8466.29 14.175 15.566 14 15.6 8.19 8466.29 14.7 14,700 16.862 14.5 15.6 8.19 8466.29 15.225 16.862 15 15.6 8.19 8466.29 15.75 15,750 18.156 15.5 13.6 7.14 7416.29 16.275 18.156 16 13.6 7.14 7416.29 16.8 16,800 19.442 16.5 13.6 7.14 7416.29 17.325 19.442 17 13.6 7.14 7416.29 17.85 17,850 20.712 17.5 13.6 7.14 7416.29 18.375 20.712 18 13.6 7.14 7416.29 18.9 18,900 21.958 18.5 16 8.4 8676.29 19.425 21.958 200000 300000 400000 500000 0 10 20 30 40 50 60 70 80 90 100 -2000000 0 2000000 4000000 6000000 8000000 10000000 12000000 14000000

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modelo de curva de peso

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Page 1: Curva Mx Qx

espçamento(m)= 1.05 corr(t/m)= 0.526275 g(m/s2)=peso(t)= 2696.15 rho(kg/m3)= 1024comprimento(m)= 94.5 vomlume(m3)= 2632.962delta(m)= 0.525deslocamento(t)= 2696.15

baliza peso(t/m) peso*delta(t) peso(kg)+ corr(kg) comp.(m) - vol (m3)0 - - 0 0 0 0.097 0.050925

0.5 13.6 7.14 7416.29 0.525 0.097 0.0509251 13.6 7.14 7416.29 1.05 1,050 0.671 0.352275

1.5 15.2 7.98 8256.29 1.575 0.671 0.3522752 16 8.4 8676.29 2.1 2,100 1.606 0.84315

2.5 17.2 9.03 9306.29 2.625 1.606 0.843153 17.2 9.03 9306.29 3.15 3,150 2.747 1.442175

3.5 13.6 7.14 7416.29 3.675 2.747 1.4421754 13.6 7.14 7416.29 4.2 4,200 3.992 2.0958

4.5 14.8 7.77 8046.29 4.725 3.992 2.09585 14.8 7.77 8046.29 5.25 5,250 5.275 2.769375

5.5 12 6.3 6576.29 5.775 5.275 2.7693756 12 6.3 6576.29 6.3 6,300 6.560 3.444

6.5 15.8 8.295 8571.29 6.825 6.560 3.4447 15.8 8.295 8571.29 7.35 7,350 7.857 4.124925

7.5 14.4 7.56 7836.29 7.875 7.857 4.1249258 25 13.125 13401.29 8.4 8,400 9.149 4.803225

8.5 26 13.65 13926.29 8.925 9.149 4.8032259 13.2 6.93 7206.29 9.45 9,450 10.435 5.478375

9.5 15.2 7.98 8256.29 9.975 10.435 5.47837510 15.2 7.98 8256.29 10.5 10,500 11.710 6.14775

10.5 23.2 12.18 12456.29 11.025 11.710 6.1477511 28.8 15.12 15396.29 11.55 11,550 12.992 6.8208

11.5 13.2 6.93 7206.29 12.075 12.992 6.820812 13.2 6.93 7206.29 12.6 12,600 14.276 7.4949

12.5 15.6 8.19 8466.29 13.125 14.276 7.494913 15.6 8.19 8466.29 13.65 13,650 15.566 8.17215

13.5 15.6 8.19 8466.29 14.175 15.566 8.1721514 15.6 8.19 8466.29 14.7 14,700 16.862 8.85255

14.5 15.6 8.19 8466.29 15.225 16.862 8.8525515 15.6 8.19 8466.29 15.75 15,750 18.156 9.5319

15.5 13.6 7.14 7416.29 16.275 18.156 9.531916 13.6 7.14 7416.29 16.8 16,800 19.442 10.20705

16.5 13.6 7.14 7416.29 17.325 19.442 10.2070517 13.6 7.14 7416.29 17.85 17,850 20.712 10.8738

17.5 13.6 7.14 7416.29 18.375 20.712 10.873818 13.6 7.14 7416.29 18.9 18,900 21.958 11.52795

18.5 16 8.4 8676.29 19.425 21.958 11.5279519 16 8.4 8676.29 19.95 19,950 23.182 12.17055

19.5 16.8 8.82 9096.29 20.475 23.182 12.1705520 16.8 8.82 9096.29 21 21,000 24.372 12.7953

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Page 2: Curva Mx Qx

20.5 19.2 10.08 10356.29 21.525 24.372 12.795321 19.2 10.08 10356.29 22.05 22,050 25.528 13.4022

21.5 17.6 9.24 9516.29 22.575 25.528 13.402222 17.6 9.24 9516.29 23.1 23,100 26.645 13.988625

22.5 17.6 9.24 9516.29 23.625 26.645 13.98862523 17.6 9.24 9516.29 24.15 24,150 27.719 14.552475

23.5 22.8 11.97 12246.29 24.675 27.719 14.55247524 22.8 11.97 12246.29 25.2 25,200 28.750 15.09375

24.5 22 11.55 11826.29 25.725 28.750 15.0937525 22 11.55 11826.29 26.25 26,250 29.734 15.61035

25.5 24 12.6 12876.29 26.775 29.734 15.6103526 24 12.6 12876.29 27.3 27,300 30.675 16.104375

26.5 24.4 12.81 13086.29 27.825 30.675 16.10437527 24.4 12.81 13086.29 28.35 28,350 31.573 16.575825

27.5 25.2 13.23 13506.29 28.875 31.573 16.57582528 25.2 13.23 13506.29 29.4 29,400 32.427 17.024175

28.5 25.6 13.44 13716.29 29.925 32.427 17.02417529 25.6 13.44 13716.29 30.45 30,450 33.238 17.44995

29.5 26 13.65 13926.29 30.975 33.238 17.4499530 26 13.65 13926.29 31.5 31,500 34.003 17.851575

30.5 26.8 14.07 14346.29 32.025 34.003 17.85157531 26.8 14.07 14346.29 32.55 32,550 34.726 18.23115

31.5 27.6 14.49 14766.29 33.075 34.726 18.2311532 27.6 14.49 14766.29 33.6 33,600 35.408 18.5892

32.5 28.4 14.91 15186.29 34.125 35.408 18.589233 28.4 14.91 15186.29 34.65 34,650 36.050 18.92625

33.5 32.4 17.01 17286.29 35.175 36.050 18.9262534 32.4 17.01 17286.29 35.7 35,700 36.659 19.245975

34.5 31.6 16.59 16866.29 36.225 36.659 19.24597535 31.6 16.59 16866.29 36.75 36,750 37.235 19.548375

35.5 32 16.8 17076.29 37.275 37.235 19.54837536 32 16.8 17076.29 37.8 37,800 37.780 19.8345

36.5 30.4 15.96 16236.29 38.325 37.780 19.834537 30.4 15.96 16236.29 38.85 38,850 38.292 20.1033

37.5 40.8 21.42 21696.29 39.375 38.292 20.103338 40.8 21.42 21696.29 39.9 39,900 38.764 20.3511

38.5 32.8 17.22 17496.29 40.425 38.764 20.351139 32.8 17.22 17496.29 40.95 40,950 39.194 20.57685

39.5 31.6 16.59 16866.29 41.475 39.194 20.5768540 31.6 16.59 16866.29 42 42,000 39.580 20.7795

40.5 32.4 17.01 17286.29 42.525 39.580 20.779541 32.4 17.01 17286.29 43.05 43,050 39.919 20.957475

41.5 54 28.35 28626.29 43.575 39.919 20.95747542 47.2 24.78 25056.29 44.1 44,100 40.212 21.1113

42.5 42.4 22.26 22536.29 44.625 40.212 21.111343 47.2 24.78 25056.29 45.15 45,150 40.457 21.239925

43.5 48.4 25.41 25686.29 45.675 40.457 21.23992544 48.4 25.41 25686.29 46.2 46,200 40.655 21.343875

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Page 3: Curva Mx Qx

44.5 38 19.95 20226.29 46.725 40.655 21.34387545 49.2 25.83 26106.29 47.25 47,250 40.804 21.4221

45.5 48 25.2 25476.29 47.775 40.804 21.422146 48 25.2 25476.29 48.3 48,300 40.907 21.476175

46.5 49.6 26.04 26316.29 48.825 40.907 21.47617547 49.6 26.04 26316.29 49.35 49,350 40.969 21.508725

47.5 50.8 26.67 26946.29 49.875 40.969 21.50872548 50.8 26.67 26946.29 50.4 50,400 40.990 21.51975

48.5 50.8 26.67 26946.29 50.925 40.990 21.5197549 78 40.95 41226.29 51.45 51,450 40.991 21.520275

49.5 70.8 37.17 37446.29 51.975 40.991 21.52027550 58.4 30.66 30936.29 52.5 52,500 41.000 21.525

50.5 57.2 30.03 30306.29 53.025 41.000 21.52551 38 19.95 20226.29 53.55 53,550 41.013 21.531825

51.5 35.2 18.48 18756.29 54.075 41.013 21.53182552 35.2 18.48 18756.29 54.6 54,600 41.027 21.539175

52.5 34 17.85 18126.29 55.125 41.027 21.53917553 34 17.85 18126.29 55.65 55,650 41.038 21.54495

53.5 38.4 20.16 20436.29 56.175 41.038 21.5449554 50 26.25 26526.29 56.7 56,700 41.039 21.545475

54.5 38.4 20.16 20436.29 57.225 41.039 21.54547555 38.4 20.16 20436.29 57.75 57,750 41.026 21.53865

55.5 37.2 19.53 19806.29 58.275 41.026 21.5386556 37.2 19.53 19806.29 58.8 58,800 40.996 21.5229

56.5 50.4 26.46 26736.29 59.325 40.996 21.522957 39.2 20.58 20856.29 59.85 59,850 40.923 21.484575

57.5 30.8 16.17 16446.29 60.375 40.923 21.48457558 30.8 16.17 16446.29 60.9 60,900 40.793 21.416325

58.5 27.6 14.49 14766.29 61.425 40.793 21.41632559 27.6 14.49 14766.29 61.95 61,950 40.593 21.311325

59.5 27.6 14.49 14766.29 62.475 40.593 21.31132560 27.6 14.49 14766.29 63 63,000 40.318 21.16695

60.5 37.6 19.74 20016.29 63.525 40.318 21.1669561 37.6 19.74 20016.29 64.05 64,050 39.966 20.98215

61.5 37.6 19.74 20016.29 64.575 39.966 20.9821562 37.6 19.74 20016.29 65.1 65,100 39.538 20.75745

62.5 35.6 18.69 18966.29 65.625 39.538 20.7574563 35.6 18.69 18966.29 66.15 66,150 39.041 20.496525

63.5 27.2 14.28 14556.29 66.675 39.041 20.49652564 27.2 14.28 14556.29 67.2 67,200 38.484 20.2041

64.5 29.2 15.33 15606.29 67.725 38.484 20.204165 29.2 15.33 15606.29 68.25 68,250 37.867 19.880175

65.5 30.4 15.96 16236.29 68.775 37.867 19.88017566 38 19.95 20226.29 69.3 69,300 37.158 19.50795

66.5 38 19.95 20226.29 69.825 37.158 19.5079567 26.4 13.86 14136.29 70.35 70,350 36.352 19.0848

67.5 26 13.65 13926.29 70.875 36.352 19.084868 26 13.65 13926.29 71.4 71,400 35.464 18.6186

Page 4: Curva Mx Qx

68.5 25.2 13.23 13506.29 71.925 35.464 18.618669 25.2 13.23 13506.29 72.45 72,450 34.516 18.1209

69.5 25.2 13.23 13506.29 72.975 34.516 18.120970 24.4 12.81 13086.29 73.5 73,500 33.526 17.60115

70.5 22.4 11.76 12036.29 74.025 33.526 17.6011571 22.4 11.76 12036.29 74.55 74,550 32.476 17.0499

71.5 22.4 11.76 12036.29 75.075 32.476 17.049972 22.4 11.76 12036.29 75.6 75,600 31.359 16.463475

72.5 27.6 14.49 14766.29 76.125 31.359 16.46347573 27.6 14.49 14766.29 76.65 76,650 30.174 15.84135

73.5 26.8 14.07 14346.29 77.175 30.174 15.8413574 26.8 14.07 14346.29 77.7 77,700 28.838 15.13995

74.5 31.6 16.59 16866.29 78.225 28.838 15.1399575 31.6 16.59 16866.29 78.75 78,750 27.429 14.400225

75.5 30 15.75 16026.29 79.275 27.429 14.40022576 30 15.75 16026.29 79.8 79,800 25.989 13.644225

76.5 26.2 13.755 14031.29 80.325 25.989 13.64422577 26.2 13.755 14031.29 80.85 80,850 24.540 12.8835

77.5 26.2 13.755 14031.29 81.375 24.540 12.883578 26.2 13.755 14031.29 81.9 81,900 23.110 12.13275

78.5 31.2 16.38 16656.29 82.425 23.110 12.1327579 31.2 16.38 16656.29 82.95 82,950 21.716 11.4009

79.5 29.6 15.54 15816.29 83.475 21.716 11.400980 29.6 15.54 15816.29 84 84,000 20.360 10.689

80.5 28.2 14.805 15081.29 84.525 20.360 10.68981 27.2 14.28 14556.29 85.05 85,050 19.042 9.99705

81.5 26.4 13.86 14136.29 85.575 19.042 9.9970582 26.4 13.86 14136.29 86.1 86,100 17.759 9.323475

82.5 24.4 12.81 13086.29 86.625 17.759 9.32347583 24.4 12.81 13086.29 87.15 87,150 16.514 8.66985

83.5 23.2 12.18 12456.29 87.675 16.514 8.6698584 23.2 12.18 12456.29 88.2 88,200 15.306 8.03565

84.5 26.2 13.755 14031.29 88.725 15.306 8.0356585 16.2 8.505 8781.29 89.25 89,250 14.131 7.418775

85.5 15.2 7.98 8256.29 89.775 14.131 7.41877586 15.2 7.98 8256.29 90.3 90,300 12.987 6.818175

86.5 15.2 7.98 8256.29 90.825 12.987 6.81817587 15.2 7.98 8256.29 91.35 91,350 11.868 6.2307

87.5 28.8 15.12 15396.29 91.875 11.868 6.230788 30 15.75 16026.29 92.4 92,400 10.774 5.65635

88.5 27.2 14.28 14556.29 92.925 10.774 5.6563589 13.6 7.14 7416.29 93.45 93,450 9.705 5.095125

89.5 13.6 7.14 7416.29 93.975 9.705 5.09512590 13.6 7.14 7416.29 94.5 94,500 8.653 4.542825

Page 5: Curva Mx Qx

9.81 2720

carga(X) flut(X) C(x)-F(x) V(x) M(x)0 511.564 -511.564 -255.782016 -127.891008

72753.8485 511.564 72242.28 35865.360218 17804.78910172753.8485 3538.757 69215.09 70472.90578 53041.24199180994.2485 3538.757 77455.49 109200.651342 107641.56766285114.4485 8469.813 76644.64 147522.969224 181403.05227491294.7485 8469.813 82824.94 188935.437106 275870.77082791294.7485 14487.28 76807.47 227339.17014 389540.35589772753.8485 14487.28 58266.57 256472.453174 517776.58248472753.8485 21053.23 51700.62 282322.760848 658937.96290878934.1485 21053.23 57880.92 311263.218522 814569.57216978934.1485 27819.59 51114.56 336820.497572 982979.82095564513.4485 27819.59 36693.86 355167.426622 1160563.53426664513.4485 34596.5 29916.95 370125.903192 1345626.48586284084.3985 34596.5 49487.9 394869.854762 1543061.41324384084.3985 41436.69 42647.71 416193.710716 1751158.26860176874.0485 41436.69 35437.36 433912.39167 1968114.464436131466.699 48250.51 83216.19 475520.486648 2205874.70776136616.949 48250.51 88366.44 519703.706626 2465726.56107370693.7485 55032.69 15661.06 527534.237196 2729493.67967180994.2485 55032.69 25961.56 540515.017766 2999751.18855480994.2485 61756.85 19237.39 550133.715136 3274818.046122122196.249 61756.85 60439.39 580353.412506 3564994.752375151037.649 68517.94 82519.71 621613.26818 3875801.38646570693.7485 68517.94 2175.811 622701.173854 4187151.97339270693.7485 75289.57 -4595.82 620403.263976 4497353.6053883054.3485 75289.57 7764.78 624285.654098 4809496.43242983054.3485 82092.84 961.506 624766.4071 5121879.63597983054.3485 82092.84 961.506 625247.160102 5434503.2160383054.3485 88927.76 -5873.411 622310.454416 5745658.44323883054.3485 88927.76 -5873.411 619373.74873 6055345.31760383054.3485 95752.13 -12697.78 613024.858212 6361857.74670972753.8485 95752.13 -22998.28 601525.717694 6662620.60555672753.8485 102534.3 -29780.46 586635.487768 6955938.3494472753.8485 102534.3 -29780.46 571745.257842 7241810.97836172753.8485 109232.1 -36478.26 553506.129356 7518564.04303972753.8485 109232.1 -36478.26 535267.00087 7786197.54347472753.8485 115803.3 -43049.48 513742.260096 8043068.67352285114.4485 115803.3 -30688.88 498397.819322 8292267.58318385114.4485 122258.5 -37144.08 479825.778676 8532180.47252189234.6485 122258.5 -33023.88 463313.83803 8763837.39153689234.6485 128534.4 -39299.77 443663.953064 8985669.368068

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Cortantes(x)Momento(x)

Page 6: Curva Mx Qx

101595.249 128534.4 -26939.17 430194.368098 9200766.552117101595.249 134631 -33035.75 413676.494364 9407604.79929993354.8485 134631 -41276.15 393038.42063 9604124.00961493354.8485 140521.9 -47167 369454.89832 9788851.45877493354.8485 140521.9 -47167 345871.37601 9961787.14677993354.8485 146186 -52831.17 319455.793028 10121515.04329120136.149 146186 -26049.87 306430.860046 10274730.47332120136.149 151623.4 -31487.21 290687.254296 10420074.10046116015.949 151623.4 -35607.41 272883.548546 10556515.87474116015.949 156812.8 -40796.89 252485.105644 10682758.42756126316.449 156812.8 -30496.39 237236.912742 10801376.88393126316.449 161775.5 -35459.08 219507.370592 10911130.56923128376.549 161775.5 -33399 202807.878442 11012534.50845128376.549 166511.5 -38134.91 183740.424948 11104404.72092132496.749 166511.5 -34014.71 166733.071454 11187771.25665132496.749 171015.3 -38518.58 147473.781448 11261508.14737134556.849 171015.3 -36458.48 129244.541442 11326130.41809134556.849 175292.4 -40735.58 108876.752828 11380568.79451136616.949 175292.4 -38675.48 89539.014214 11425338.30161136616.949 179326.9 -42710 68184.02568 11459430.31445140737.149 179326.9 -38589.78 48889.137146 11483874.88303140737.149 183139.9 -42402.77 27687.749668 11497718.75786144857.349 183139.9 -38282.57 8546.4621899997 11501991.98896144857.349 186736.7 -41879.34 -12393.210184 11495795.38386148977.549 186736.7 -37759.14 -31272.782558 11480158.99258148977.549 190122.5 -41145 -51845.262708 11454236.36123169578.549 190122.5 -20544 -62117.242858 11423177.7398169578.549 193334.3 -23755.74 -73995.11216 11386180.18372165458.349 193334.3 -27875.94 -87933.081462 11342213.64299165458.349 196372 -30913.68 -103389.921292 11290518.68234167518.449 196372 -28853.58 -117816.711122 11231610.32678167518.449 199246.3 -31727.83 -133680.626712 11164770.01343159278.049 199246.3 -39968.23 -153664.742302 11087937.64228159278.049 201946.5 -42668.45 -174998.965028 11000438.15976212840.649 201946.5 10894.15 -169551.887754 10915662.21589212840.649 204435.8 8404.895 -165349.440496 10832987.49564171638.649 204435.8 -32797.11 -181747.993238 10742113.49902171638.649 206703.5 -35064.86 -199280.42502 10642473.28651165458.349 206703.5 -41245.16 -219903.006802 10532521.78311165458.349 208739.2 -43280.87 -241543.442792 10411750.06171169578.549 208739.2 -39160.67 -261123.778782 10281188.17232169578.549 210527.1 -40948.51 -281598.033364 10140389.15564280823.949 210527.1 70296.89 -246449.587946 10017164.36167245802.249 212072.3 33729.95 -229584.612432 9902372.05545221081.049 212072.3 9008.751 -225080.236918 9789831.936991245802.249 213364.4 32437.86 -208861.308764 9685401.282609251982.549 213364.4 38618.16 -189552.23061 9590625.167304251982.549 214408.6 37573.93 -170765.2642 9505242.535204

0 10 20 30 40 50 60 70 80 90 100

-100000

0

100000

200000

300000

400000

500000

Carga(x)Flutuação(x)C(x)-F(x)

Page 7: Curva Mx Qx

198419.949 214408.6 -15988.67 -178759.59779 9415862.736309256102.749 215194.4 40908.33 -158305.433652 9336710.019483249922.449 215194.4 34728.03 -140941.419514 9266239.309726249922.449 215737.6 34184.82 -123849.00896 9204314.805246258162.849 215737.6 42425.22 -102636.398406 9152996.606043258162.849 216064.6 42098.24 -81587.277388 9112202.967349264343.149 216064.6 48278.54 -57448.00637 9083478.964164264343.149 216175.4 48167.79 -33364.11084 9066796.908744264343.149 216175.4 48167.79 -9280.21531 9062156.801089404429.949 216180.6 188249.3 84844.443292 9104579.022735367348.149 216180.6 151167.5 160428.201894 9184793.123682303485.049 216228.1 87256.95 204056.678144 9286821.462754297304.749 216228.1 81076.65 244595.004394 9409118.964951198419.949 216296.7 -17876.71 235656.65058 9526947.290241183999.249 216296.7 -32297.41 219507.946766 9636701.263624183999.249 216370.5 -32371.24 203322.32596 9738362.426604177818.949 216370.5 -38551.54 184046.555154 9830385.704181177818.949 216428.5 -38609.55 164741.77814 9912756.593251200480.049 216428.5 -15948.45 156767.551126 9991140.368814260222.949 216433.8 43789.17 178662.137184 10080471.43741200480.049 216433.8 -15953.73 170685.273242 10165814.07403200480.049 216365.2 -15885.17 162742.689364 10247185.41871194299.749 216365.2 -22065.47 151709.955486 10323040.39645194299.749 216207 -21907.25 140756.329448 10393418.56118262283.049 216207 46076.05 163794.35341 10475315.73788204600.249 215822 -11221.76 158183.473116 10554407.47444161338.149 215822 -54483.86 130941.542822 10619878.24585161338.149 215136.4 -53798.26 104042.413168 10671899.45243144857.349 215136.4 -70279.06 68902.883514 10706350.89419144857.349 214081.6 -69224.29 34290.73946 10723496.26392144857.349 214081.6 -69224.29 -321.4045940003 10723335.56162144857.349 212631.3 -67774 -34208.393448 10706231.3649196359.849 212631.3 -16271.48 -42344.132302 10685059.29875196359.849 210774.9 -14415.08 -49551.6725 10660283.4625196359.849 210774.9 -14415.08 -56759.212698 10631903.85615196359.849 208517.7 -12157.87 -62838.147712 10600484.78229186059.349 208517.7 -22458.37 -74067.332726 10563451.11593186059.349 205896.6 -19837.26 -83985.964524 10521458.13367142797.249 205896.6 -63099.36 -115535.646322 10463690.31051142797.249 202959.1 -60161.83 -145616.559224 10390882.0309153097.749 202959.1 -49861.33 -170547.222126 10305608.41983153097.749 199705.1 -46607.36 -193850.900452 10208682.96961159278.049 199705.1 -40427.06 -214064.428778 10101650.75522198419.949 195965.9 2454.007 -212837.425152 9995232.042642198419.949 195965.9 2454.007 -211610.421526 9889426.831879138677.049 191715.2 -53038.16 -238129.503932 9770362.079913136616.949 191715.2 -55098.26 -265678.636338 9637522.761744136616.949 187032 -50415.08 -290886.17668 9492079.673404

Page 8: Curva Mx Qx

132496.749 187032 -54535.28 -318153.817022 9333002.764893132496.749 182032.4 -49535.67 -342921.64962 9161541.940083132496.749 182032.4 -49535.67 -367689.482218 8977697.198974128376.549 176811.3 -48434.75 -391906.856096 8781743.770926118076.049 176811.3 -58735.25 -421274.479974 8571106.530939118076.049 171273.7 -53197.7 -447873.329452 8347169.866213118076.049 171273.7 -53197.7 -474472.17893 8109933.776748118076.049 165382.9 -47306.8 -498125.579832 7860870.986832144857.349 165382.9 -20525.5 -508388.330734 7606676.821465144857.349 159133.3 -14276 -515526.321956 7348913.660487140737.149 159133.3 -18396.18 -524724.413178 7086551.453898140737.149 152087.5 -11350.31 -530399.568592 6821351.669602165458.349 152087.5 13370.89 -523714.124006 6559494.607599165458.349 144656.6 20801.75 -513313.247868 6302837.983665157217.949 144656.6 12561.35 -507032.57173 6049321.6978157217.949 137062.2 20155.7 -496954.719272 5800844.338164

137647 137062.2 584.7549 -496662.341814 5552513.167257137647 129420.4 8226.572 -492549.055684 5306238.639415137647 129420.4 8226.572 -488435.769554 5062020.754638137647 121878.8 15768.19 -480551.676384 4821744.916446

163398.249 121878.8 41519.44 -459791.958214 4591848.937339163398.249 114527.1 48871.19 -435356.362412 4374170.756133155157.849 114527.1 40630.79 -415040.96661 4166650.272828155157.849 107375.7 47782.14 -391149.89644 3971075.324608147947.499 107375.7 40571.79 -370864.00127 3785643.323973142797.249 100424.8 42372.48 -349677.759996 3610804.443975138677.049 100424.8 38252.28 -330551.618722 3445528.634614138677.049 93658.41 45018.64 -308042.298824 3291507.485202128376.549 93658.41 34718.14 -290683.228926 3146165.870739128376.549 87092.46 41284.09 -270041.183668 3011145.278905122196.249 87092.46 35103.79 -252489.28841 2884900.6347122196.249 80721.64 41474.61 -231751.984128 2769024.642636

137647 80721.64 56925.36 -203289.304846 2667379.99021386144.4985 74524.86 11619.64 -197479.485164 2568640.24763180994.2485 74524.86 6469.389 -194244.790482 2471517.8523980994.2485 68491.57 12502.68 -187993.450168 2377521.12730680994.2485 68491.57 12502.68 -181742.109854 2286650.07237980994.2485 62590.12 18404.13 -172540.047108 2200380.048825151037.649 62590.12 88447.53 -128316.284362 2136221.906644157217.949 56820.52 100397.4 -78117.572384 2097163.120452142797.249 56820.52 85976.72 -35129.210406 2079598.51524972753.8485 51182.77 21571.08 -24343.672396 2067426.67905172753.8485 51182.77 21571.08 -13558.134386 2060647.61185872753.8485 45634.68 27119.17 1.4518799997313 2060648.337798

Page 9: Curva Mx Qx

ABCISSA DRAFT BREADTH AREA MOMENT VERTICAL GIRTH(A,P,)M M M M2 A/BASE M3 C,G,M M------- ------ --------- ------- --------- -------- ------- os valores devido a exporatção devem ser divididos por 1000

0 4,200 11,258 8,653 32,662 3,775 11,7131,050 4,200 11,324 9,705 36,169 3,727 11,8622,100 4,200 11,383 10,774 39,633 3,679 12,0123,150 4,200 11,437 11,868 43,067 3,629 12,1644,200 4,200 11,484 12,987 46,464 3,578 12,3195,250 4,200 11,527 14,131 49,817 3,525 12,4796,300 4,200 11,565 15,306 53,125 3,471 12,6437,350 4,200 11,601 16,514 56,390 3,415 12,8168,400 4,200 11,634 17,759 59,608 3,357 13,0009,450 4,200 11,665 19,042 62,772 3,297 13,197

10,500 4,200 11,693 20,360 65,857 3,235 13,40811,550 4,200 11,720 21,716 68,850 3,170 13,63412,600 4,200 11,744 23,110 71,734 3,104 13,87513,650 4,200 11,767 24,540 74,488 3,035 14,13114,700 4,200 11,789 25,989 77,078 2,966 14,40215,750 4,200 11,809 27,429 79,467 2,897 14,69416,800 4,200 11,828 28,838 81,632 2,831 15,01417,850 4,200 11,846 30,174 83,570 2,770 15,27318,900 4,200 11,864 31,359 85,293 2,720 15,27019,950 4,200 11,880 32,476 86,825 2,673 15,29921,000 4,200 11,895 33,526 88,191 2,631 15,35422,050 4,200 11,909 34,516 89,420 2,591 15,42923,100 4,200 11,922 35,464 90,526 2,553 15,51924,150 4,200 11,935 36,352 91,506 2,517 15,61925,200 4,200 11,947 37,158 92,371 2,486 15,72726,250 4,200 11,957 37,867 93,135 2,460 15,83427,300 4,200 11,967 38,484 93,820 2,438 15,93928,350 4,200 11,976 39,041 94,446 2,419 16,04129,400 4,200 11,984 39,538 95,011 2,403 16,13730,450 4,200 11,992 39,966 95,512 2,390 16,22631,500 4,200 11,999 40,318 95,944 2,380 16,30432,550 4,200 12,005 40,593 96,303 2,372 16,37033,600 4,200 12,011 40,793 96,587 2,368 16,42234,650 4,200 12,017 40,923 96,799 2,365 16,46135,700 4,200 12,021 40,996 96,942 2,365 16,48536,750 4,200 12,025 41,026 97,036 2,365 16,49937,800 4,200 12,029 41,039 97,110 2,366 16,50838,850 4,200 12,031 41,038 97,165 2,368 16,51439,900 4,200 12,033 41,027 97,202 2,369 16,51740,950 4,200 12,035 41,013 97,226 2,371 16,51742,000 4,200 12,036 41,000 97,240 2,372 16,51743,050 4,200 12,037 40,991 97,247 2,372 16,51644,100 4,200 12,037 40,990 97,252 2,373 16,51645,150 4,200 12,035 40,969 97,209 2,373 16,51146,200 4,200 12,027 40,907 97,088 2,373 16,495

Page 10: Curva Mx Qx

47,250 4,200 12,014 40,804 96,884 2,374 16,46848,300 4,200 11,994 40,655 96,591 2,376 16,43049,350 4,200 11,971 40,457 96,205 2,378 16,38250,400 4,200 11,944 40,212 95,738 2,381 16,32351,450 4,200 11,912 39,919 95,185 2,384 16,25552,500 4,200 11,875 39,580 94,547 2,389 16,17653,550 4,200 11,831 39,194 93,825 2,394 16,08754,600 4,200 11,781 38,764 93,022 2,400 15,98955,650 4,200 11,725 38,292 92,145 2,406 15,88256,700 4,200 11,662 37,780 91,199 2,414 15,76757,750 4,200 11,594 37,235 90,192 2,422 15,64558,800 4,200 11,520 36,659 89,129 2,431 15,51659,850 4,200 11,442 36,050 88,008 2,441 15,38060,900 4,200 11,357 35,408 86,821 2,452 15,23761,950 4,200 11,267 34,726 85,554 2,464 15,08863,000 4,200 11,168 34,003 84,196 2,476 14,93164,050 4,200 11,060 33,238 82,740 2,489 14,76765,100 4,200 10,941 32,427 81,172 2,503 14,59466,150 4,200 10,810 31,573 79,488 2,518 14,41367,200 4,200 10,665 30,675 77,686 2,533 14,22368,250 4,200 10,505 29,734 75,760 2,548 14,02569,300 4,200 10,328 28,750 73,699 2,563 13,81870,350 4,200 10,133 27,719 71,497 2,579 13,60071,400 4,200 9,917 26,645 69,158 2,596 13,37372,450 4,200 9,681 25,528 66,680 2,612 13,13673,500 4,200 9,423 24,372 64,070 2,629 12,89074,550 4,200 9,143 23,182 61,334 2,646 12,63575,600 4,200 8,843 21,958 58,480 2,663 12,37476,650 4,200 8,522 20,712 55,520 2,681 12,10977,700 4,200 8,182 19,442 52,458 2,698 11,84178,750 4,200 7,822 18,156 49,302 2,716 11,57179,800 4,200 7,440 16,862 46,073 2,732 11,30280,850 4,200 7,037 15,566 42,774 2,748 11,03381,900 4,200 6,615 14,276 39,436 2,762 10,77082,950 4,200 6,178 12,992 36,070 2,776 10,51484,000 4,200 5,730 11,710 32,678 2,791 10,27085,050 4,200 5,272 10,435 29,274 2,805 10,04286,100 4,200 4,803 9,149 25,867 2,827 9,79787,150 4,200 4,316 7,857 22,445 2,857 9,55388,200 4,200 3,805 6,560 19,005 2,897 9,31489,250 4,200 3,265 5,275 15,564 2,951 9,05090,300 4,200 2,695 3,992 12,128 3,038 8,47691,350 4,200 2,105 2,747 8,722 3,175 7,47692,400 4,200 1,507 1,606 5,419 3,375 5,94793,450 4,200 0.911 671 2,452 3,653 3,82094,500 4,200 0.321 97 0.388 3,989 1,360

Page 11: Curva Mx Qx

ABCISSA AREA(A,P,)M M2

os valores devido a exporatção devem ser divididos por 1000 ------- -------0 0.097

1,050 0.6712,100 1.6063,150 2.7474,200 3.9925,250 5.2756,300 6.5607,350 7.8578,400 9.1499,450 10.435

10,500 11.71011,550 12.99212,600 14.27613,650 15.56614,700 16.86215,750 18.15616,800 19.44217,850 20.71218,900 21.95819,950 23.18221,000 24.37222,050 25.52823,100 26.64524,150 27.71925,200 28.75026,250 29.73427,300 30.67528,350 31.57329,400 32.42730,450 33.23831,500 34.00332,550 34.72633,600 35.40834,650 36.05035,700 36.65936,750 37.23537,800 37.78038,850 38.29239,900 38.76440,950 39.19442,000 39.58043,050 39.91944,100 40.21245,150 40.45746,200 40.655

Page 12: Curva Mx Qx

47,250 40.80448,300 40.90749,350 40.96950,400 40.99051,450 40.99152,500 41.00053,550 41.01354,600 41.02755,650 41.03856,700 41.03957,750 41.02658,800 40.99659,850 40.92360,900 40.79361,950 40.59363,000 40.31864,050 39.96665,100 39.53866,150 39.04167,200 38.48468,250 37.86769,300 37.15870,350 36.35271,400 35.46472,450 34.51673,500 33.52674,550 32.47675,600 31.35976,650 30.17477,700 28.83878,750 27.42979,800 25.98980,850 24.54081,900 23.11082,950 21.71684,000 20.36085,050 19.04286,100 17.75987,150 16.51488,200 15.30689,250 14.13190,300 12.98791,350 11.86892,400 10.77493,450 9.70594,500 8.653