tabla de elementos # nodo inicial nodo final b(m) h(m) Area (m2) I (m4)

1 1 2 0.8 0.8 6.40E-01 3.41E-022 2 3 0.4 0.69 2.76E-01 1.10E-023 2 4 0.4 0.69 2.76E-01 1.10E-024 4 5 0.4 0.69 2.76E-01 1.10E-025 4 6 0.03 0.03 9.00E-04 6.75E-08

TABLA DE NODOS

# X (M) Y(M)1 0 02 0 33 -8 34 12.25 35 22.05 36 12.25 7

E (PA) XA YA XB YB L (m) L x L y1.53E+10 0 0 0 3 3.000 0.000 1.0001.53E+10 0 3 -8 3 8.000 -1.000 0.0001.53E+10 0 3 12.25 3 12.250 1.000 0.0001.53E+10 12.25 3 22.05 3 9.800 1.000 0.0002.00E+11 12.25 3 12.25 7 4.000 0.000 1.000

1.0001.0001.0001.0001.000

Elemento 1

K`

3253333333.33 0A (M2) 0.6400 0 231348148.148148I 0.0341 0 347022222.222222E (PA) 1.53E+10 -3253333333.33 0L (M) 3.00000000 0 -231348148.14815LX 0.00000000 0 347022222.222222LY 1.00000000

T0.00000000 1.00000000

AE/L 3253333333.33333 -1.00000000 0.0000000012EI/L3 231348148.148148 0 06EI/L2 347022222.222222 0 04EI/L 694044444.444445 0 02EI/L 347022222.222222 0 0

TT

0 -11 0

0 0

0 0

0 0

0 0

M= T*K`

0 -231348148.148153253333333.33 0

0 347022222.2222220 231348148.148148

-3253333333.33 00 347022222.222222

17 18

K231348148.148 0

0 3253333333.33333-347022222.222 0-231348148.148 0

0 -3253333333.3333-347022222.222 0

0 -3253333333 0 0347022222.2222 0 -231348148 347022222694044444.4444 0 -347022222 347022222

0 3253333333.3 0 0-347022222.222 0 231348148 -347022222347022222.2222 0 -347022222 694044444

0 0 0 00 0 0 01 0 0 00 0.00000000 1.00000000 00 -1.00000000 0.00000000 00 0 0 1

0 0 0 00 0 0 0

1 0 0 0 1

0 0 -1 0 1

0 1 0 0 1 1 273066667

0 0 0 1 2 2 0

3 3 409600000-347022222.222 0 231348148 -347022222 4

0 -3253333333 0 0 5694044444.4444 0 -347022222 347022222 6347022222.2222 0 -231348148 347022222 7

0 3253333333.3 0 0 8347022222.2222 0 -347022222 694044444 9

1011 11 409600000

11 1 2 3 12-347022222.222 -231348148.15 0 -347022222 17 13

0 0-3253333333 0 18 14694044444.4444 347022222.22 0 347022222 11 15347022222.2222 231348148.15 0 347022222 1 16

0 0 3253333333 0 2 17 17 -273066667347022222.2222 347022222.22 0 694044444 3 18 18 0

2 3 4 5 6 7 8 9

2 3

0 409600000

3840000000 0

0 819200000

0 409600000

0 -409600000-3840000000 0

10 11 12 13 14 15 16 17

11 17

409600000 -273066667

0 0

409600000 -409600000

819200000 -409600000

-409600000 2730666670 0

18

18

0

-3840000000

0

0

03840000000

Elemento 2

K`

526125000 0 0A (M2) 0.2760 0 3913876.7578125 15655507.03125I 0.0110 0 15655507.03125 83496037.5E (PA) 1.53E+10 -526125000 0 0L (M) 8.00000000 0 -3913876.7578125 -15655507.0312LX -1.00000000 0 15655507.03125 41748018.75LY 0.00000000

T

-1.00000000 0.00000000 0AE/L 526125000 0.00000000 -1.00000000 012EI/L3 3913876.7578125 0 0 16EI/L2 15655507.03125 0 0 04EI/L 83496037.5 0 0 02EI/L 41748018.75 0 0 0

TT

-1 0 00 -1 0

0 0 1

0 0 0

0 0 0

0 0 0

TT*K`

-526125000 0 00 -3913876.7578125 -15655507.03120 15655507.03125 83496037.5

526125000 0 00 3913876.7578125 15655507.031250 15655507.03125 41748018.75

1 2 3

K

526125000 0 00 3913876.7578125 -15655507.03120 -15655507.03125 83496037.5

-526125000 0 00 -3913876.7578125 15655507.031250 -15655507.03125 41748018.75

-526125000 0 00 -3913876.76 156555070 -15655507 41748018.7

526125000 0 00 3913876.76 -156555070 -15655507 83496037.5

0 0 00 0 00 0 0

-1.00000000 0.00000000 00.00000000 -1.00000000 0

0 0 1

0 0 00 0 0

0 0 0 1 2

-1 0 0 1 2

0 -1 0 1 1 552000000 0

0 0 1 2 2 0 4106362.5

3 3 0 -16425450526125000 0 0 4

0 3913876.76 -15655507 50 -15655507 41748018.7 6

-526125000 0 0 7 7 -552000000 00 -3913876.76 15655507 80 -15655507 83496037.5 9

10 10 0 -1642545011

7 15 10 12-526125000 0 0 1 13

0 -3913876.76 -15655507 2 140 15655507 41748018.7 3 15 15 0 -4106362.5

526125000 0 0 7 160 3913876.76 15655507 15 170 15655507 83496037.5 10 18

3 4 5 6 7 8 9 10

3 7 10

0 -552000000 0

-16425450 0 -16425450

87602400 0 43801200

0 552000000 0

43801200 0 87602400

16425450 0 16425450

11 12 13 14 15 16 17 18

15

0

-4106362.5

16425450

0

16425450

4106362.5

Elemento 3

K`

343591836.735 0 0A (M2) 0.2760 0 1090106.2788464 6676900.957934I 0.0110 0 6676900.95793419 54528024.4898E (PA) 1.53E+10 -343591836.735 0 0L (M) 12.25000000 0 -1090106.2788464 -6676900.95793LX 1.00000000 0 6676900.95793419 27264012.2449LY 0.00000000

T

1.00000000 0.00000000 0AE/L 343591836.734694 0.00000000 1.00000000 012EI/L3 1090106.2788464 0 0 16EI/L2 6676900.95793419 0 0 04EI/L 54528024.4897959 0 0 02EI/L 27264012.244898 0 0 0

TT

1 0 00 1 0

0 0 1

0 0 0

0 0 0

0 0 0

TT*K`

343591836.735 0 00 1090106.2788464 6676900.9579340 6676900.95793419 54528024.4898

-343591836.735 0 00 -1090106.2788464 -6676900.957930 6676900.95793419 27264012.2449

1 2 3

K

343591836.735 0 00 1090106.2788464 6676900.9579340 6676900.95793419 54528024.4898

-343591836.735 0 00 -1090106.2788464 -6676900.957930 6676900.95793419 27264012.2449

d 4 -0.04991320937585 -0.00842454227076 -0.0185893793324

8 -0.049913209375813 010 -0.044241716642

-343591836.73 0 00 -1090106.28 6676900.960 -6676901 27264012.2

343591836.73 0 00 1090106.28 -66769010 -6676901 54528024.5

0 0 00 0 00 0 0

1.00000000 0.00000000 00.00000000 1.00000000 0

0 0 1

0 0 00 0 0

0 0 0 1 2

1 0 0 1 2

0 1 0 1 1 360489796 0

0 0 1 2 2 0 1143718.06

3 3 0 7005273.14-343591836.73 0 0 4 4 -360489796 0

0 -1090106.28 6676900.96 5 5 0 -1143718.060 -6676901 27264012.2 6 6 0 7005273.14

343591836.73 0 0 70 1090106.28 -6676901 80 -6676901 54528024.5 9

1011

4 5 6 12-343591836.73 0 0 1 13

0 -1090106.28 6676900.96 2 140 -6676901 27264012.2 3 15

343591836.73 0 0 4 160 1090106.28 -6676901 5 170 -6676901 54528024.5 6 18

d q-0.0499132094 0-0.0084245423 -428700.651-0.0185893793 -2276098.67

-0.0499132094 00 428700.651

-0.0442417166 -2975484.31

3 4 5 6 7 8 9 10

3 4 5 6

0 -360489796 0 0

7005273.14 0 -1143718.06 7005273.14

57209730.6 0 -7005273.14 28604865.30 360489796 0 0

-7005273.14 0 1143718.06 -7005273.1428604865.3 0 -7005273.14 57209730.6

11 12 13 14 15 16 17 18

Elemento 4

K`

429489795.918 0 0A (M2) 0.2760 0 2129113.82587187 10432657.74677I 0.0110 0 10432657.7467722 68160030.61224E (PA) 1.53E+10 -429489795.918 0 0L (M) 9.80000000 0 -2129113.8258719 -10432657.7468LX 1.00000000 0 10432657.7467722 34080015.30612LY 0.00000000

T

1.00000000 0.00000000 0AE/L 429489795.918367 0.00000000 1.00000000 012EI/L3 2129113.82587187 0 0 16EI/L2 10432657.7467722 0 0 04EI/L 68160030.6122449 0 0 02EI/L 34080015.3061224 0 0 0

TT

1 0 00 1 0

0 0 1

0 0 0

0 0 0

0 0 0

TT*K`

429489795.918 0 00 2129113.82587187 10432657.746770 10432657.7467722 68160030.61224

-429489795.918 0 00 -2129113.8258719 -10432657.74680 10432657.7467722 34080015.30612

4 5 6

K

429489795.918 0 00 2129113.82587187 10432657.746770 10432657.7467722 68160030.61224

-429489795.918 0 00 -2129113.8258719 -10432657.74680 10432657.7467722 34080015.30612

-429489795.92 0 00 -2129113.83 10432657.70 -10432658 34080015.3

429489795.92 0 00 2129113.83 -104326580 -10432658 68160030.6

0 0 00 0 00 0 0

1.00000000 0.00000000 00.00000000 1.00000000 0

0 0 1

0 0 00 0 0

0 0 0 1 2

1 0 0

0 1 0 1

0 0 1 2

3-429489795.92 0 0 4 4

0 -2129113.83 10432657.7 5 50 -10432658 34080015.3 6 6

429489795.92 0 0 70 2129113.83 -10432658 8 80 -10432658 68160030.6 9 9

1011

8 16 9 12-429489795.92 0 0 4 13

0 -2129113.83 10432657.7 5 140 -10432658 34080015.3 6 15

429489795.92 0 0 8 16 160 2129113.83 -10432658 16 170 -10432658 68160030.6 9 18

3 4 5 6 7 8 9 10

4 5 6 8 9

450612245 0 0 -450612245 00 2233824.34 10945739.3 0 10945739.30 10945739.3 71512163.3 0 35756081.6

-450612245 0 0 450612245 00 10945739.3 35756081.6 0 71512163.3

0 -2233824.34 -10945739 0 -10945739

11 12 13 14 15 16 17 18

16

0-2233824.34

-10945739

0-10945739

2233824.34

Elemento 5

K`

45000000 0 0A (M2) 0.0009 0 2531.25 5062.5I 0.0000 0 5062.5 13500E (PA) 2.00E+11 -45000000 0 0L (M) 4.00000000 0 -2531.25 -5062.5LX 0.00000000 0 5062.5 6750LY 1.00000000

T

0.00000000 1.00000000 0AE/L 45000000 -1.00000000 0.00000000 012EI/L3 2531.25 0 0 16EI/L2 5062.5 0 0 04EI/L 13500 0 0 02EI/L 6750 0 0 0

TT

0 -1 01 0 0

0 0 1

0 0 0

0 0 0

0 0 0

TT*K`

0 -2531.25 -5062.545000000 0 0

0 5062.5 135000 2531.25 5062.5

-45000000 0 00 5062.5 6750

4 5 6

K

2531.25 0 -5062.50 45000000 0

-5062.5 0 13500-2531.25 0 5062.5

0 -45000000 0-5062.5 0 6750

-45000000 0 00 -2531.25 5062.50 -5062.5 6750

45000000 0 00 2531.25 -5062.50 -5062.5 13500

0 0 00 0 00 0 0

0.00000000 1.00000000 0-1.00000000 0.00000000 0

0 0 1

0 0 00 0 0

0 0 0 1 2

0 -1 0

1 0 0 1

0 0 1 2

30 2531.25 -5062.5 4 4

-45000000 0 0 5 50 -5062.5 6750 6 60 -2531.25 5062.5 7

45000000 0 0 80 -5062.5 13500 9

1011

13 14 12 12 12-2531.25 0 -5062.5 4 13 13

0 -45000000 0 5 14 145062.5 0 6750 6 15

2531.25 0 5062.5 13 160 45000000 0 14 17

5062.5 0 13500 12 18

3 4 5 6 7 8 9 10

4 5 6

2531.25 0 -5062.50 45000000 0

-5062.5 0 13500

-5062.5 0 6750-2531.25 0 5062.5

0 -45000000 0

11 12 13 14 15 16 17 18

12 13 14 18

-5062.5 -2531.25 00 0 -45000000

6750 5062.5 0

13500 5062.5 05062.5 2531.25 0

0 0 45000000

1 2 3 4 5 61 1185556462.6 0 409600000 -360489795.92 0 02 0 3845250080.6 -9420176.8638 0 -1143718.0631 7005273.13623 409600000 -9420176.8638 964012130.61 0 -7005273.1362 28604865.3064 -360489795.92 0 0 811104572.07 0 -5062.55 0 -1143718.0631 -7005273.1362 0 48377542.405 3940466.13916 0 7005273.1362 28604865.306 -5062.5 3940466.1391 128735393.887 -552000000 0 0 0 0 08 0 0 0 -450612244.9 0 09 0 0 0 0 10945739.275 35756081.633

10 0 -16425450 43801200 0 0 011 409600000 0 409600000 0 0 012 0 0 0 -5062.5 0 675013 0 0 0 -2531.25 0 5062.514 0 0 0 0 -45000000 015 0 -4106362.5 16425450 0 0 016 0 0 0 0 -2233824.3419 -10945739.27517 -273066666.67 0 -409600000 0 0 018 0 -3840000000 0 0 0 0

9.3172308E-08 -2.156085E-11 -2.617561E-08 9.3171748E-08 -3.706717E-09 6.7085519E-09-2.156085E-11 2.6030707E-10 7.1867671E-12 -2.156096E-11 6.8553174E-12 -1.820991E-11-2.617561E-08 7.1867671E-12 8.7254713E-09 -2.617546E-08 1.2356176E-09 -2.23603E-099.3171748E-08 -2.156096E-11 -2.617546E-08 9.5945172E-08 -3.706691E-09 6.7086396E-09-3.706717E-09 6.8553174E-12 1.2356176E-09 -3.706691E-09 2.1597103E-08 -2.089161E-116.7085519E-09 -1.820991E-11 -2.23603E-09 6.7086396E-09 -2.089161E-11 9.5987394E-099.3172308E-08 -2.156085E-11 -2.617561E-08 9.3171748E-08 -3.706717E-09 6.7085519E-099.3171748E-08 -2.156096E-11 -2.617546E-08 9.5945172E-08 -3.706691E-09 6.7086396E-09-2.786921E-09 8.0556727E-12 9.2888966E-10 -2.786969E-09 -3.295233E-09 -4.796172E-091.3083762E-08 4.5214192E-11 -4.361388E-09 1.3083686E-08 -6.165234E-10 1.1146005E-09-3.349835E-08 7.1870425E-12 8.7250689E-09 -3.349815E-08 1.2355497E-09 -2.236261E-09

7 8 9 10 11 12 13-552000000 0 0 0 409600000 0 0

0 0 0 -16425450 0 0 00 0 0 43801200 409600000 0 00 -450612244.9 0 0 0 -5062.5 -2531.250 0 10945739.275 0 0 0 00 0 35756081.633 0 0 6750 5062.5

552000000 0 0 0 0 0 00 450612244.9 0 0 0 0 00 0 71512163.265 0 0 0 00 0 0 87602400 0 0 00 0 0 0 819200000 0 00 0 0 0 0 13500 5062.50 0 0 0 0 5062.5 2531.250 0 0 0 0 0 00 0 0 16425450 0 0 00 0 -10945739.275 0 0 0 00 0 0 0 -409600000 0 00 0 0 0 0 0 0

9.3172308E-08 9.3171748E-08 -2.786921E-09 1.308376E-08 -3.349835E-08-2.156085E-11 -2.156096E-11 8.0556727E-12 4.521419E-11 7.1870425E-12-2.617561E-08 -2.617546E-08 9.2888966E-10 -4.36139E-09 8.7250689E-099.3171748E-08 9.5945172E-08 -2.786969E-09 1.308369E-08 -3.349815E-08-3.706717E-09 -3.706691E-09 -3.295233E-09 -6.16523E-10 1.2355497E-096.7085519E-09 6.7086396E-09 -4.796172E-09 1.1146E-09 -2.236261E-099.4983902E-08 9.3171748E-08 -2.786921E-09 1.308376E-08 -3.349835E-089.3171748E-08 9.8164375E-08 -2.786969E-09 1.308369E-08 -3.349815E-08-2.786921E-09 -2.786969E-09 1.6886094E-08 -4.62934E-10 9.2901583E-101.3083762E-08 1.3083686E-08 -4.629344E-10 1.360438E-08 -4.361187E-09-3.349835E-08 -3.349815E-08 9.2901583E-10 -4.36119E-09 1.3607343E-08

14 15 16 17 180 0 0 -273066667 0 10 -4106362.5 0 0-3840000000 x 20 16425450 0 -409600000 0 x 30 0 0 0 0 4

-45000000 0 -2233824.34 0 0 50 0 -10945739 0 0 60 0 0 0 0 70 0 0 0 0 80 0 -10945739 0 0 90 16425450 0 0 0 100 0 0 -409600000 0 110 0 0 0 0 120 0 0 0 0 13

45000000 0 0 0 0 140 4106362.5 0 0 0 150 0 2233824.34 0 0 160 0 0 273066667 0 170 0 0 0 3840000000 18

SUMATORIA X 0.00SUMATORIA Y 0.00

Q D0 -0.0499133 10 -0.00011686 20 0.01663792 30 -0.04991321 40 -0.00842454 50 -0.01858938 60 -0.0499133 70 -0.04991321 8

3145000 0.05456269 9-3145000 -0.04424172 10

0 0.01663769 11127.207312 N 0 1232.2340784 N 0 13379104.402 N 0 14

-452924.837 N 0 15-374935.564 N*M 0 16-32.2340784 N 0 17

448756 N 0 18