CALCULO DE MOMENTOS Y CORTANTES A CADA 1M

Distancia a cada 1mFAB FBA FBC FCB FCD FDC Mab Mba Mbc Mcb Mcd Va Vb` Vb" Vb Vc` Vc" Vc Vd

6 A 0 0 0 0 0 0 0 0 0 0 0 0 0

1.00 -0.694 0.139 -0.729 0.069 -0.069 -0.015 0.015 0.700 0.300 -0.012 0.288 0.012 0.002 0.014 -0.002

2.00 -0.889 0.444 -1.000 0.222 -0.222 -0.047 0.047 0.463 0.537 -0.037 0.500 0.037 0.008 0.045 -0.008

3.00 -0.750 0.750 -0.938 0.375 -0.375 -0.079 0.079 0.281 0.719 -0.063 0.656 0.063 0.013 0.076 -0.013

4.00 -0.444 0.889 -0.667 0.444 -0.444 -0.093 0.093 0.148 0.852 -0.074 0.778 0.074 0.016 0.090 -0.016

5.00 -0.139 0.694 -0.313 0.347 -0.347 -0.073 0.073 0.057 0.943 -0.058 0.885 0.058 0.012 0.070 -0.012

6 B 0 0 0 0 0 0 0 0 0 0 0 0 0

1.00 -0.694 0.139 0.184 0.367 -0.367 0.131 -0.131 -0.092 0.092 0.466 0.558 0.534 -0.022 0.512 0.022

2.00 -0.889 0.444 0.254 0.509 -0.509 0.280 -0.280 -0.127 0.127 0.158 0.285 0.842 -0.047 0.796 0.047

3.00 -0.750 0.750 0.242 0.484 -0.484 0.394 -0.394 -0.121 0.121 0.016 0.137 0.984 -0.066 0.918 0.066

4.00 -0.444 0.889 0.176 0.351 -0.351 0.420 -0.420 -0.088 0.088 -0.018 0.070 1.018 -0.070 0.948 0.070

5.00 -0.139 0.694 0.0851 0.170 -0.170 0.306 -0.306 -0.043 0.043 -0.003 0.039 1.003 -0.051 0.952 0.051

6 C 0 0 0 0 0 0 0 0 0 0 0 0 0

1.00 -0.694 0.139 -0.050 -0.1007 0.101 0.403 -0.403 -0.034 0.034 0.034 0.067 -0.034 -0.081 -0.114 1.081

2.00 -0.889 0.444 -0.064 -0.129 0.129 0.516 -0.516 -0.043 0.043 0.043 0.086 -0.043 -0.129 -0.172 1.129

3.00 -0.750 0.750 -0.054 -0.109 0.109 0.435 -0.435 -0.036 0.036 0.036 0.072 -0.036 -0.145 -0.181 1.145

4.00 -0.444 0.889 -0.032 -0.064 0.064 0.258 -0.258 -0.021 0.021 0.021 0.043 -0.021 -0.129 -0.150 1.129

5.00 -0.139 0.694 -0.010 -0.020 0.020 0.081 -0.081 -0.007 0.007 0.007 0.013 -0.007 -0.081 -0.087 1.081

D 0 0 0 0 0 0 0 0 0 0 0 0 0

Distancia Mab

A 0 0.001 -0.732 -1.003 -0.944 -0.675 -0.31

B 6 0.007 0.188 0.259 0.24

10 0.1811 0.09

C 12 0.0013 -0.0514 -0.0615 -0.0516 -0.0317 -0.01

D 18 0.00

Distancia MbaA 0 0.00

1 0.072 0.223 0.384 0.445 0.35

B 6 0.007 0.378 0.51

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

-1.20

-1.00

-0.80

-0.60

-0.40

-0.20

0.00

0.20

0.40

LINEAS DE INFLUENCIA Mab

LINEAS DE INFLUENCIA Mab

Axis Title

Axis Title

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00

0.07

0.22

0.38

0.44

0.35

0.00

0.37

0.510.48

0.35

0.17

0.00

-0.10-0.13 -0.11

-0.06-0.02 0.00

LINEAS DE INFLUENCIA MbaLINEAS DE INFLUENCIA Mba

9 0.4810 0.3511 0.17

C 12 0.0013 -0.1014 -0.1315 -0.1116 -0.0617 -0.02

D 18 0.00

Distancia Mbc

A 0 0.00

1 -0.07

2 -0.22

3 -0.38

4 -0.44

5 -0.35

B 6 0.00

7 -0.37

8 -0.51

9 -0.48

10 -0.35

11 -0.17

C 12 0.00

13 0.1014 0.13

15 0.11

16 0.06

17 0.02

D 18 0.00

Distancia Mcb

A 0 0.001 -0.012 -0.053 -0.084 -0.095 -0.07

B 6 0.007 0.138 0.289 0.39

10 0.4211 0.31

C 12 0.0013 0.4014 0.5215 0.4316 0.2617 0.08

D 18 0.00

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00

0.07

0.22

0.38

0.44

0.35

0.00

0.37

0.510.48

0.35

0.17

0.00

-0.10-0.13 -0.11

-0.06-0.02 0.00

LINEAS DE INFLUENCIA MbaLINEAS DE INFLUENCIA Mba

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00

-0.07

-0.22

-0.38

-0.44

-0.35

0.00

-0.37

-0.51-0.48

-0.35

-0.17

0.00

0.100.13 0.11

0.060.02 0.00

LINEAS DE INFLUENCIA MbcLINEAS DE INFLUENCIA Mbc

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

-0.20

-0.10

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.00 -0.01-0.05

-0.08-0.09-0.07

0.00

0.13

0.28

0.390.42

0.31

0.00

0.40

0.52

0.43

0.26

0.08

0.00

LINEAS DE INFLUENCIA Mcb

Distancia Mcd

A 0 0.001 0.012 0.053 0.084 0.095 0.07

B 6 0.007 -0.138 -0.289 -0.39

10 -0.4211 -0.31

C 12 0.0013 -0.4014 -0.5215 -0.4416 -0.2617 -0.08

D 18 0.00

Distancia Va

A 0 0.001 0.702 0.463 0.284 0.155 0.06

B 6 0.007 -0.098 -0.139 -0.12

10 -0.0911 -0.04

C 12 0.0013 -0.0314 -0.0415 -0.0416 -0.0217 -0.01

D 18 0.00

Distancia Vb

A 0 0.001 0.292 0.503 0.664 0.785 0.89

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00 0.01

0.050.08 0.09 0.07

0.00

-0.13

-0.28

-0.39-0.42

-0.31

0.00

-0.40

-0.52

-0.44

-0.26

-0.08

0.00

LINEAS DE INFLUENCIA McdLINEAS DE INFLUENCIA Mcd

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18-0.20

-0.10

0.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.00

0.70

0.46

0.28

0.15

0.060.00

-0.09-0.13 -0.12

-0.09-0.04

0.00-0.03 -0.04 -0.04 -0.02 -0.01 0.00

LINEAS DE INFLUENCIA Va

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0.00

0.29

0.50

0.66

0.78

0.89

0.00

0.56

0.29

0.140.07

0.040.00

0.07 0.09 0.070.04

0.01 0.00

LINEAS DE INFLUENCIA Vb

B 6 0.007 0.568 0.299 0.14

10 0.0711 0.04

C 12 0.0013 0.0714 0.0915 0.0716 0.0417 0.01

D 18 0.00

Distancia Vc

A 0 0.001 0.012 0.043 0.084 0.095 0.07

B 6 0.007 0.518 0.809 0.92

10 0.9511 0.95

C 12 0.0013 -0.1114 -0.1715 -0.1816 -0.1517 -0.09

D 18 0.00

Distancia Vd

A 0 0.001 0.002 -0.013 -0.014 -0.025 -0.01

B 6 0.007 0.028 0.059 0.07

10 0.0711 0.05

C 12 0.00

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 180.00

0.10

0.20

0.30

0.40

0.50

0.60

0.70

0.80

0.90

1.00

0.00

0.29

0.50

0.66

0.78

0.89

0.00

0.56

0.29

0.140.07

0.040.00

0.07 0.09 0.070.04

0.01 0.00

LINEAS DE INFLUENCIA Vb

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

-0.40

-0.20

0.00

0.20

0.40

0.60

0.80

1.00

1.20

0.00 0.01 0.04 0.08 0.09 0.070.00

0.51

0.80

0.92 0.95 0.95

0.00

-0.11-0.17 -0.18 -0.15 -0.090.00

LINEAS DE INFLUENCIA Vc

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

-0.20

0.00

0.20

0.40

0.60

0.80

1.00

1.20

1.40

0.00 0.00 -0.01 -0.01 -0.02 -0.01 0.00 0.02 0.05 0.07 0.07 0.050.00

1.081.13 1.15 1.13

1.08

0.00

LINEAS DE INFLUENCIA Vd

13 1.0814 1.1315 1.1516 1.1317 1.08

D 18 0.00

RIGIDEZ RELATIVA

BA BC DC AB BA BC CB CD

K=I/L 0.17 0.17 0.17 T1 1.00 0.00 0.00 0.00 0.00

T2 -0.25 0.50 -0.50 -0.11 0.11FACTORES DE DISTRIBUCIÓN T3 -0.25 -0.50 0.50 -0.11 0.11

T1 0.07 0.15 -0.15 0.42 -0.42

FD (BA) 0.50 T2 0.07 0.15 -0.15 -0.58 0.58

FD (BC) 0.50 T3 0.04 0.07 -0.07 -0.29 0.29

FD (CB) 0.50 0.68 0.36 -0.36 -0.66 0.66

FD (CD) 0.50

ITERACION 1A B C D0 0.50 0.50 0.58 0.42 111 0.00 0.00 0.00 0.00 0.00

ITERACION 2A B C D0 0.50 0.50 0.58 0.42 1

0.00 1.00-0.25 -0.50 -0.50 -0.25 0.00

0.15 0.11-0.25 0.50 -0.50 -0.11 0.11 0.00

ITERACION 3A B C D0 0.50 0.50 0.58 0.42 1

0.00 0.00 1.00-0.25 -0.50 -0.50 -0.25 0.00 0.00

0.15 0.11-0.25 -0.50 0.50 -0.11 0.11 0.00

ITERACION 4A B C D0 0.50 0.50 0.58 0.42 1

0.00 0.00 0.00 1.00 0.000.00 0.00 -0.29 -0.58 -0.420.07 0.15 0.150.07 0.15 -0.15 0.42 -0.42 0.00

ITERACION 5A B C D0 0.50 0.50 0.58 0.42 1

0.00 0.00 0.00 0.00 1.00 0.00-0.29 -0.58 -0.42

0.07 0.15 0.150.07 0.15 -0.15 -0.58 0.58 0.00

ITERACION 6A B C D0 0.50 0.50 0.58 0.42 1

0.00 0.00 0.00 0.00 0.50 1.00-0.15 -0.29 -0.21

0.04 0.07 0.070.04 0.07 -0.07 -0.29 0.29 0.00

MOMENTOS Y FUERZA

Distancia entre tramoFAB FBA FBC FCB FCD FDC Mab Mba Mbc Mcb Mcd Mdc Va Vb` Vb" Vb Vc` Vc" Vc Vd

5 A

1.00 -0.6400 0.1600 -0.6800 0.0800 -0.0800 -0.0168 0.0168 #NAME? 0.6480 0.3520 -0.0160 0.3360 0.2126 0.0034 0.2160 #NAME?

2.00 -0.7200 0.4800 -0.8400 0.2400 -0.2400 -0.0504 0.0504 #NAME? 0.3840 0.6160 -0.0480 0.5680 0.4379 0.0101 0.4480 #NAME?

3.00 -0.4800 0.7200 -0.6600 0.3600 -0.3600 -0.0756 0.0756 #NAME? 0.1960 0.8040 -0.0720 0.7320 0.6569 0.0151 0.6720 #NAME?

4.00 -0.1600 0.6400 -0.3200 0.3200 -0.3200 -0.0672 0.0672 #NAME? 0.0720 0.9280 -0.0640 0.8640 0.8506 0.0134 0.8640 #NAME?

5.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 #NAME? 0.0000 1.0000 0.0000 1.0000 1.0000 0.0000 1.0000 #NAME?

7 B

6.00 -0.1224 0.7347 0.0839 0.1678 -0.1678 0.3214 -0.3214 #NAME? -0.2168 1.2168 -0.0336 1.1832 1.2978 -0.0643 1.2336 #NAME?

7.00 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 #NAME? -0.4000 1.4000 0.0000 1.4000 1.4000 0.0000 1.4000 #NAME?

8.00 -0.1633 -1.3061 -0.0539 -0.1078 0.1078 -0.5314 0.5314 #NAME? -0.5892 1.5892 0.0216 1.6108 1.4722 0.1063 1.5784 #NAME?

9.00 -0.7347 -3.3061 -0.0560 -0.1120 0.1120 -1.3114 1.3114 #NAME? -0.7888 1.7888 0.0224 1.8112 1.5153 0.2623 1.7776 #NAME?

10.00 -1.8367 -6.1224 0.0153 0.0306 -0.0306 -2.3786 2.3786 #NAME? -1.0031 2.0031 -0.0061 1.9969 1.5304 0.4757 2.0061 #NAME?

11.00 -3.5918 -9.8776 0.1818 0.3637 -0.3637 -3.7714 3.7714 #NAME? -1.2364 2.2364 -0.0727 2.1636 1.5184 0.7543 2.2727 #NAME?

12.00 -6.1224 -14.6939 0.4653 0.9306 -0.9306 -5.5286 5.5286 #NAME? -1.4931 2.4931 -0.1861 2.3069 1.4804 1.1057 2.5861 #NAME?

8 C

13.00 -5.0781 -13.2031 -0.8468 -1.6936 1.6936 6.7742 -6.7742 #NAME? -1.4306 2.4306 0.3387 2.7694 3.6161 -1.3548 2.2613 #NAME?

14.00 -7.8750 -18.3750 -1.2370 -2.4741 2.4741 9.8962 -9.8963 #NAME? -1.5526 2.5526 0.4948 3.0474 4.2844 -1.9793 2.3052 #NAME?

15.00 -11.4844 -24.6094 -1.7247 -3.4494 3.4494 13.7977 -13.7977 #NAME? -1.6551 2.6551 0.6899 3.3449 5.0696 -2.7595 2.3101 #NAME?

16.00 -16.0000 -32.0000 -2.3200 -4.6400 4.6400 18.5600 -18.5600 #NAME? -1.7360 2.7360 0.9280 3.6640 5.9840 -3.7120 2.2720 #NAME?

17.00 -21.5156 -40.6406 -3.0331 -6.0662 6.0662 24.2648 -24.2648 #NAME? -1.7934 2.7934 1.2132 4.0066 7.0397 -4.8530 2.1868 #NAME?

18.00 -28.1250 -50.6250 -3.8742 -7.7484 7.7484 30.9938 -30.9938 #NAME? -1.8252 2.8252 1.5497 4.3748 8.2491 -6.1988 2.0503 #NAME?

19.00 -35.9219 -62.0469 -4.8535 -9.7071 9.7071 38.8283 -38.8283 #NAME? -1.8293 2.8293 1.9414 4.7707 9.6242 -7.7657 1.8586 #NAME?

20.00 -45.0000 -75.0000 -5.9812 -11.9625 11.9625 47.8500 -47.8500 #NAME? -1.8038 2.8038 2.3925 5.1962 11.1775 -9.5700 1.6075 #NAME?

D