Mom. Emp. BARRA LONGITUD I MEΔV.ME12 -9.063 1,2 500 415937.5 -998.250ME21 9.063 1,3 300 67500 -450.000ME34 -13.594 2,4 300 67500 -450.000ME43 13.594 3,4 500 1143333.33 -2744.000ME45 -10.875 3,6 360 1143333.33 -5293.210ME54 10.875 4,5 500 800989.583 -1922.375

4,7 360 90000 -416.6675,8 360 73173.3333 -338.765

30.213 0.7870.272 -9.0631.872 6.919

-0.023 -4.9281.055 3.896

-0.014 -0.7750.168 0.621

-0.003 -0.1280.028 0.103

-0.001 -0.0230.005 0.0190.000 -0.005

3.360 -3.3602

0.040 0.558 0.402 0.524-13.594 13.594

0.544 7.585 5.465 2.7330.936 0.222 0.444

-0.046 -0.646 -0.466 -0.2330.528 0.135 0.269

-0.027 -0.370 -0.266 -0.1330.084 0.056 0.111

-0.006 -0.078 -0.056 -0.0280.014 0.014 0.027

-0.001 -0.016 -0.011 -0.0060.003 0.004 0.007

2.030 6.468 -8.498 16.786

3.234

KIJ ∑KIJ FD

1FD1,2 831.875 1056.875 0.787FD1,3 225.000 0.213

2FD2,1 831.875 1056.875 0.787FD2,4 225.000 0.213

3FD3,1 225.000

5687.5925930.040

FD3,4 2286.667 0.402FD3,6 3175.926 0.558

4

FD4,2 225.000

4363.645833

0.052FD4,3 2286.667 0.524FD4,5 1601.979 0.367FD4,7 250.000 0.057

5FD5,4 1601.979 1754.423611 0.913FD5,8 152.444 0.087

40.787 0.2139.0633.460

-9.856 -2.6671.948 0.022

-1.550 -0.4200.311 0.014

-0.256 -0.0690.052 0.006

-0.046 -0.0120.010 0.002

-0.009 -0.003

3.127 -3.1275 1

0.057 0.052 0.367 0.913 0.087-10.875 10.875

-1.334 -4.965 -9.929 -0.9460.048 0.044 0.311 0.156

-0.210 -0.071 -0.142 -0.0140.029 0.027 0.189 0.095

-0.035 -0.044 -0.087 -0.0080.012 0.011 0.078 0.039

-0.006 -0.018 -0.036 -0.0030.003 0.003 0.019 0.010

-0.002 -0.005 -0.009 -0.0010.001 0.001 0.004 0.002

0.093 -1.502 -15.377 0.972 -0.972

0.047 -0.486

Mom. Emp. BARRA LONGITUD IME63=ME36 -5293.210 1,2 500 415938ME74=ME47 -416.667 1,3 300 67500ME85=ME58 -338.765 2,4 300 67500

3,4 500 11433333,6 360 11433334,5 500 8009904,7 360 900005,8 360 73173.3

40.213 0.787

103.681-22.084 -81.597

5.920 11.791-3.772 -13.9390.847 13.870

-3.135 -11.5820.149 3.859

-0.854 -3.1540.028 0.851

-0.187 -0.6920.005 0.173

-0.038 -0.1400.001 0.034

-0.007 -0.0280.000 0.007

80.553 -80.5532

0.040 0.558 0.402 0.524-5293.210

109.167 218.334207.362 2892.696 2083.985 1041.993-11.042 -284.953 -569.90511.840 165.165 118.990 59.495-1.886 -40.442 -80.8831.693 23.619 17.016 8.508

-1.568 -5.891 -11.7810.298 4.162 2.999 1.500

-0.427 -0.947 -1.8940.055 0.767 0.552 0.276

-0.094 -0.164 -0.3280.010 0.144 0.104 0.052

-0.019 -0.030 -0.0600.002 0.027 0.020 0.010

-0.004 -0.006 -0.012

206.219 -2206.620 2000.401 665.303

-5293.2103086.590

-2206.620

KIJ ∑KIJ FD

1FD1,2 831.875 1056.875 0.787FD1,3 225 0.213

2FD2,1 831.875 1056.875 0.787FD2,4 225 0.213

3FD3,1 225

5687.5925930.040

FD3,4 2286.66667 0.402FD3,6 3175.92593 0.558

4

FD4,2 225

4363.645833

0.052FD4,3 2286.66667 0.524FD4,5 1601.97917 0.367FD4,7 250 0.057

5FD5,4 1601.97917 1754.423611 0.913FD5,8 152.444444 0.087

50.787 0.213

10.834-40.79923.582 6.383-6.970 -28.27827.740 7.508-5.791 -4.0147.717 2.088

-1.577 -0.5851.701 0.461

-0.346 -0.0940.346 0.094

-0.070 -0.0170.068 0.019

-0.014 -0.0030.013 0.004

5.600 -5.6001 3

0.057 0.052 0.367 0.913 0.087-416.667 -338.765

23.750 21.667 152.917 76.459 169.3833.192 42.420 84.839 8.084

-61.993 -56.555 -399.152 -199.5763.754 91.107 182.213 17.363

-8.798 -8.027 -56.648 -28.3241.044 12.930 25.860 2.464

-1.281 -1.169 -8.251 -4.1260.231 1.884 3.767 0.359

-0.206 -0.188 -1.327 -0.6640.047 0.303 0.606 0.058

-0.036 -0.033 -0.229 -0.1150.010 0.053 0.105 0.010

-0.007 -0.006 -0.042 -0.0210.002 0.010 0.019 0.002

-0.001 -0.001 -0.008 -0.004

-465.239 -36.031 -164.032 141.042 -141.042

-416.667 -338.765-24.286 338.765

-440.953 0.000

118.990

Mom. Emp. BARRA LONGITUD IME13=ME31 -450.000 1,2 500 4E+05ME24=ME42 -450.000 1,3 300 67500

2,4 300 675003,4 500 1E+063,6 360 1E+064,5 500 8E+054,7 360 900005,8 360 73173

20.213 0.787

-450.000177.075

58.133 214.7928.419 -45.5097.900 29.190

-1.743 -6.3211.718 6.346

-0.313 -1.3530.355 1.311

-0.057 -0.2780.071 0.264

-0.011 -0.0560.014 0.053

-0.002 -0.0120.003 0.011

-0.001 -0.003

-375.513 375.5133

0.040 0.558 0.402 0.524-450.000

29.06716.837 234.881 169.215 84.608

3.950 83.177 166.353-3.485 -48.617 -35.025 -17.5130.859 14.783 29.566

-0.626 -8.728 -6.288 -3.1440.178 2.662 5.324

-0.114 -1.585 -1.141 -0.571

0.036 0.499 0.998-0.021 -0.299 -0.215 -0.1080.007 0.096 0.191

-0.004 -0.057 -0.042 -0.0210.002 0.019 0.037

-0.001 -0.012 -0.008 -0.0040.001 0.004 0.007

-403.314 175.578 227.736 265.725

-450.000175.578

-274.422

KIJ FD

1FD1,2 831.875 0.787FD1,3 225 0.213

2FD2,1 831.875 0.787FD2,4 225 0.213

3FD3,1 225 0.040FD3,4 2286.6667 0.402FD3,6 3175.9259 0.558

4

FD4,2 225 0.052FD4,3 2286.6667 0.524FD4,5 1601.9792 0.367FD4,7 250 0.057

5FD5,4 1601.9792 0.913FD5,8 152.44444 0.087

10.787 0.213

-450.000354.150 95.850107.396 8.254-91.017 -24.63314.595 1.467

-12.641 -3.4213.173 0.264

-2.705 -0.7320.656 0.050

-0.556 -0.1500.132 0.010

-0.112 -0.0300.027 0.002

-0.023 -0.0060.006 0.001

-0.006 -0.001

373.075 -373.0754 5

0.057 0.052 0.367 0.913 0.087-450.000

47.925

18.096 16.508 116.510 58.255-12.317 -26.594 -53.187 -5.068

3.216 2.934 20.708 10.354 1.267-1.711 -5.305 -10.610 -1.011

0.579 0.528 3.729 1.865 0.253-0.366 -0.967 -1.934 -0.184

0.109 0.099 0.698 0.349 0.046-0.075 -0.181 -0.361 -0.034

0.021 0.019 0.133 0.067 0.009-0.015 -0.035 -0.069 -0.007

0.004 0.004 0.026 0.013 0.002-0.003 -0.007 -0.014 -0.001

0.001 0.001 0.005 0.003 0.001

22.026 -396.470 108.719 4.727 -4.727

-450.000 -2.53411.013 2.534

-438.987 -0.5060.506

-0.0920.092

-0.0170.017

-0.0040.004

-0.0010.0010.000

CALCULO DE CONSTANTES

H2 8.254 H'2 81.714 H''2H1 14.074 H'1 -2027.206 H''1

A 0.0125015B -0.014676

CALCULO DE MOMENTOS FINALESM M' M'' MF

M12 -3.36 -80.553 375.513 -9.878M21 3.127 5.6 373.075 -2.278M13 3.36 80.553 -375.513 9.878M31 2.03 206.219 -403.314 10.527M24 -3.127 -5.6 -373.075 2.278M42 -1.502 -36.031 -396.47 3.866M34 -8.498 2000.401 227.736 13.168M43 16.786 665.303 265.725 21.204M36 6.468 -2206.62 175.578 -23.695M63 3.234 -1103.31 87.789 -11.847M47 0.093 -465.239 22.026 -6.046M74 0.047 -232.6195 11.013 -3.023M45 -15.377 -164.032 108.719 -19.023M54 0.972 141.042 4.727 2.666M58 -0.972 -141.042 -4.727 -2.666M85 -0.486 -70.521 -2.3635 -1.333

632.028-767.87

M12 = -3.36 - 80.553 * 0.0125015 + 375.513 * -0.014676M21 = 3.127 + 5.600 * 0.0125015 + 73.075 * -0.014676M13 = 3.36 + 80.553 * 0.0125015 - 375.513 * -0.014676M31 = 2.03 + 206.219 * 0.0125015 - 403.314 * -0.014676M24 = -3.127 - 5.600 * 0.0125015 - 373.075 * -0.014676M42 = -1.502 - 36.031 * 0.0125015 - 396.47 * -0.014676M34 = -8.498 + 2000.401 * 0.0125015 + 227.736 * -0.014676M43 = 16.786 + 665.303 * 0.0125015 + 265.725 * -0.014676M36 = 6.468 - 2206.62 * 0.0125015 + 175.578 * -0.014676M63 = 3.234 - 1103.31 * 0.0125015 + 87.789 * -0.014676M47 = 0.093 - 465.239 * 0.0125015 + 22.026 * -0.014676M74 = 0.047 - 232.6195 * 0.0125015 + 11.013 * -0.014676M45 = -15.377 - 164.032 * 0.0125015 + 108.719 * -0.014676M54 = 0.972 + 141.042 * 0.0125015 + 4.727 * -0.014676M58 = -0.972 - 141.042 * 0.0125015 - 4.727 * -0.014676M85 = -0.486 - 70.521 * 0.0125015 - 2.3635 * -0.014676

= -9.878=-2.278=9.878

=10.527=2.278=3.866

=13.168=21.204=-23.695=-11.847=-6.046=-3.023

=-19.023=2.666=-2.666=-1.333