Portico Biem Pot Rado Si Met Rico

8/22/2019 Portico Biem Pot Rado Si Met Rico

1/19

Luz (m) 25.000

Altura pilares 5.000

Pendiente 10%

I (cm4) A (cm2)

Pilar HEB-280 19270.00 131.00

Dintel IPE-450 33740.00 98.80

E 2100000Longitud (cm) a

Barra 1-2 500 90

Barra 2-3 1256.234453 5.710593137

Barra 3-4 1256.234453 354.2894069

Barra 4-5 500 270

0 -1 0 550200 0 0

1 0 0 0 3884.832 971208

0 0 1 0 971208 323736000

0 -3884.832 -971208 0 1 0 3884.832 0

550200 0 0 -1 0 0 0 550200

0 971208 323736000 0 0 1 -971208 0

0 -1 0 -550200 0 01 0 0 0 -3884.832 971208

0 0 1 0 -971208 161868000

0 3884.832 -971208 0 1 0 -3884.832 0

-550200 0 0 -1 0 0 0 -550200

0 -971208 161868000 0 0 1 971208 0

0 -1 0 -550200 0 0

1 0 0 0 -3884.832 -971208

0 0 1 0 971208 161868000

0 3884.832 971208 0 1 0 -3884.832 0

-550200 0 0 -1 0 0 0 -550200

0 971208 161868000 0 0 1 -971208 0

0 -1 0 550200 0 0

1 0 0 0 3884.832 -971208

0 0 1 0 -971208 323736000

0 -3884.832 971208 0 1 0 3884.832 0

550200 0 0 -1 0 0 0 5502000 -971208 323736000 0 0 1 971208 0

0.99503719 -0.09950372 0 165160.253 0 0

0.099503719 0.99503719 0 0 428.877753 269385.505

0 0 1 0 269385.505 225607568.2

164340.5941 -42.6749314 -26804.85956 0.99503719 0.09950372 0 163529.249 16310.03

16434.05939 426.7493148 268048.5959 -0.09950372 0.99503719 0 16310.0371 2059.881

0 269385.505 225607568.2 0 0 1 -26804.8596 268048.5

0.99503719 -0.09950372 0 -165160.253 0 0

0.099503719 0.99503719 0 0 -428.877753 269385.505

0 0 1 0 -269385.505 112803784.1

-164340.5941 42.67493143 -26804.85956 0.99503719 0.09950372 0 -163529.249 -16310.03

-16434.05939 -426.749315 268048.5959 -0.09950372 0.99503719 0 -16310.0371 -2059.8810 -269385.505 112803784.1 0 0 1 26804.8596 -268048.5

0.99503719 -0.09950372 0 -165160.253 0 0

0.099503719 0.99503719 0 0 -428.877753 -269385.505

0 0 1 0 269385.505 112803784.1

-164340.5941 42.67493143 26804.85956 0.99503719 0.09950372 0 -163529.249 -16310.03

-16434.05939 -426.749315 -268048.5959 -0.09950372 0.99503719 0 -16310.0371 -2059.881

0 269385.505 112803784.1 0 0 1 -26804.8596 268048.5

0.99503719 -0.09950372 0 165160.253 0 0

0.099503719 0.99503719 0 0 428.877753 -269385.505

0 0 1 0 -269385.505 225607568.2

164340.5941 -42.6749314 26804.85956 0.99503719 0.09950372 0 163529.249 16310.03

16434.05939 426.7493148 -268048.5959 -0.09950372 0.99503719 0 16310.0371 2059.881

0 -269385.505 225607568.2 0 0 1 26804.8596 -268048.5

K22

K23

K32

K33

BARRA 2-3

Prtico biempotrado a dos aguas simtrico

BARRA 1-2

D

A

TO

S

K22

K11

K12

K21

1

2

3

4

5


2/19

0.99503719 0.099503726 0 165160.253 0 0

-0.099503726 0.99503719 0 0 428.877753 269385.505

0 0 1 0 269385.505 225607568.2

164340.5939 42.67493449 26804.86149 0.99503719 -0.09950373 0 163529.249 -16310.0

-16434.06057 426.7493145 268048.5957 0.09950373 0.99503719 0 -16310.0383 2059.88

0 269385.505 225607568.2 0 0 1 26804.8615 268048.0.99503719 0.099503726 0 -165160.253 0 0

-0.099503726 0.99503719 0 0 -428.877753 269385.505

0 0 1 0 -269385.505 112803784.1

-164340.5939 -42.6749345 26804.86149 0.99503719 -0.09950373 0 -163529.249 16310.0

16434.06057 -426.749314 268048.5957 0.09950373 0.99503719 0 16310.0383 -2059.8

0 -269385.505 112803784.1 0 0 1 -26804.8615 -268048

0.99503719 0.099503726 0 -165160.253 0 0

-0.099503726 0.99503719 0 0 -428.877753 -269385.505

0 0 1 0 269385.505 112803784.1

-164340.5939 -42.6749345 -26804.86149 0.99503719 -0.09950373 0 -163529.249 16310.0

16434.06057 -426.749314 -268048.5957 0.09950373 0.99503719 0 16310.0383 -2059.8

0 269385.505 112803784.1 0 0 1 26804.8615 268048.

0.99503719 0.099503726 0 165160.253 0 0

-0.099503726 0.99503719 0 0 428.877753 -269385.505

0 0 1 0 -269385.505 225607568.2

164340.5939 42.67493449 -26804.86149 0.99503719 -0.09950373 0 163529.249 -16310.0

-16434.06057 426.7493145 -268048.5957 0.09950373 0.99503719 0 -16310.0383 2059.88

0 -269385.505 225607568.2 0 0 1 -26804.8615 -268048

0 1 0 550200 0 0

-1 0 0 0 3884.832 971208

0 0 1 0 971208 323736000

0 3884.832 971208 0 -1 0 3884.832 0

-550200 0 0 1 0 0 0 55020

0 971208 323736000 0 0 1 971208 0

0 1 0 -550200 0 0

-1 0 0 0 -3884.832 971208

0 0 1 0 -971208 161868000

0 -3884.832 971208 0 -1 0 -3884.832 0 550200 0 0 1 0 0 0 -55020

0 -971208 161868000 0 0 1 -971208 0

0 1 0 -550200 0 0

-1 0 0 0 -3884.832 -971208

0 0 1 0 971208 161868000

0 -3884.832 -971208 0 -1 0 -3884.832 0

550200 0 0 1 0 0 0 -55020

0 971208 161868000 0 0 1 971208 0

0 1 0 550200 0 0

-1 0 0 0 3884.832 -971208

0 0 1 0 -971208 323736000

0 3884.832 -971208 0 -1 0 3884.832 0

-550200 0 0 1 0 0 0 55020

0 -971208 323736000 0 0 1 -971208 0

K34

K43

K54

K55

K44

BARRA 4-5

K44

K45

BARRA 3-4

K33


3/19

3884.832 0 -971208 -3884.832 0 -971208

0 550200 0 0 -550200 0

-971208 0 323736000 971208 0 161868000

-3884.832 0 971208 3884.832 0 971208

0 -550200 0 0 550200 0

-971208 0 161868000 971208 0 323736000

163529.2493 16310.03713 -26804.8596 -163529.249 -16310.0371 -26804.8596

16310.03713 2059.881465 268048.5959 -16310.0371 -2059.88146 268048.5959

-26804.8596 268048.5959 225607568.2 26804.85956 -268048.596 112803784.1

-163529.249 -16310.0371 26804.85956 163529.2493 16310.03713 26804.85956

-16310.0371 -2059.88146 -268048.596 16310.03713 2059.881465 -268048.596

-26804.8596 268048.5959 112803784.1 26804.85956 -268048.596 225607568.2

163529.249 -16310.0383 26804.86149 -163529.249 16310.03829 26804.86149

-16310.0383 2059.881699 268048.5957 16310.03829 -2059.8817 268048.5957

26804.86149 268048.5957 225607568.2 -26804.8615 -268048.596 112803784.1

-163529.249 16310.03829 -26804.8615 163529.249 -16310.0383 -26804.8615

16310.03829 -2059.8817 -268048.596 -16310.0383 2059.881699 -268048.596

26804.86149 268048.5957 112803784.1 -26804.8615 -268048.596 225607568.2

3884.832 0 971208 -3884.832 0 971208

0 550200 0 0 -550200 0

971208 0 323736000 -971208 0 161868000

-3884.832 0 -971208 3884.832 0 -971208

0 -550200 0 0 550200 0971208 0 161868000 -971208 0 323736000

167414.0813 16310.03713 944403.1404 327058.4983 -0.00115928 53609.72105

16310.03713 552259.8815 268048.5959 -0.00115928 4119.763164 -0.00019245

944403.1404 268048.5959 549343568.2 53609.72105 -0.00019245 451215136.5

167414.081 -16310.0383 944403.1385

-16310.0383 552259.8817 -268048.596

944403.1385 -268048.596 549343568.2

Submatrices Kij en coordenadas globales

K11 K12

K21 K22

K22 K33

K22 K23

K32 K33

K44

Ensamblando Kii

K33 K34

K43 K44

K44 K45

K54 K55


4/19

3884.832 0 -971208 -3884.832 0 -971208 0 0 0

0 550200 0 0 -550200 0 0 0 0

-971208 0 323736000 971208 0 161868000 0 0 0

-3884.832 0 971208 167414.0813 16310.03713 944403.1404 -163529.249 -16310.03713 -26804.85956

0 -550200 0 16310.03713 552259.8815 268048.5959 -16310.0371 -2059.881465 268048.5959

-971208 0 161868000 944403.1404 268048.5959 549343568.2 26804.85956 -268048.5959 112803784.1

0 0 0 -163529.249 -16310.0371 26804.85956 327058.4983 -0.001159283 53609.72105

0 0 0 -16310.0371 -2059.88146 -268048.5959 -0.00115928 4119.763164 -0.000192448

0 0 0 -26804.8596 268048.5959 112803784.1 53609.72105 -0.000192448 451215136.5

0 0 0 0 0 0 -163529.249 16310.03829 -26804.86149

0 0 0 0 0 0 16310.03829 -2059.881699 -268048.5957

0 0 0 0 0 0 26804.86149 268048.5957 112803784.1

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

0 0 0 0 0 0 0 0 0

3

Matriz K0

1 2 3

1 2

3

1

2

5

4


5/19

Luz (m) 25

Altura pilares 5

Pendiente 10.00%

I (cm4) A (cm2)

Pilar HEB-280 19270 131

Dintel IPE-450 33740 98.8

E 2100000

0 Longitud (cm) a

Barra 1-2 500 90

Barra 2-3 1256.234453 5.710593137

Barra 3-4 1256.234453 354.2894069

Barra 4-5 500 270

Dintel 515

Peso propio 0.0776

0.062395 Viento Viento

Sobrecarga 0 Pilar 1-2 0 Pilar 4-5 0

Nieve 0.398 Dintel 2-3 0 Dintel 3-4 0

q (total) 0.537995

q (kg/cm) 5.37995

Barra 2-3qx 0.53266832 Ne2-3 334.578145 Ne3-2 334.578145

qy 5.32668317 Te2-3 3345.78146 Te3-2 3345.78146

Me2-3 700514.323 Me3-2 -700514.323

Barra 3-4qx 0.53266832 Ne3-4 -334.578145 Ne4-3 -334.578145

qy 5.32668317 Te3-4 3345.78146 Te4-3 3345.78146

Me3-4 700514.323 Me4-3 -700514.323

Barra 1-2Ne1-2 0 Ne2-1 0

Te1-2 0 Te2-1 0

Me1-2 0 Me2-1 0Barra 2-3

Ne2-3 0 Ne3-2 0

Te2-3 0 Te3-2 0

Me2-3 0 Me3-2 0

Barra 3-4Ne3-4 0 Ne4-3 0

Te3-4 0 Te4-3 0

Me3-4 0 Me4-3 0

Barra 4-5Ne4-5 0 Ne5-4 0

Te4-5 0 Te5-4 0

Me4-5 0 Me5-4 0

Barra 1-2Ne1-2 0 Ne2-1 0

Te1-2 0 Te2-1 0

Me1-2 0 Me2-1 0

Barra 2-3Ne2-3 334.5781453 Ne3-2 334.5781453

Te2-3 3345.781457 Te3-2 3345.781457

Me2-3 700514.3229 Me3-2 -700514.3229

Re1-2L Re2-1L

Re2-3L

eacc ones e empo ram en o en coor ena as oca es

Re1-2L Re2-1L

Re4-3L

Re4-5L Re5-4L

Re2-3L Re3-2L

Obtencin de cargas

Re3-2L

Re3-4L

Datos

Carga en nudo superior del pilar (peso propio)

Re por sobrecarga + nieve (coordenadas locales)

Re2-3L

Re3-4L

Datos

previos

e por cargas e v en o coor enas oca es

Re3-2L

1

2

3

4

5


6/19

Barra 3-4Ne3-4 -334.5781453 Ne4-3 -334.5781453

Te3-4 3345.781457 Te4-3 3345.781457

Me3-4 700514.3229 Me4-3 -700514.3229

Barra 4-5Ne4-5 0 Ne5-4 0

Te4-5 0 Te5-4 0

Me4-5 0 Me5-4 0

0.99503719 -0.099503719 0 334.578145 5.68434E-14

0.09950372 0.99503719 0 3345.78146 3362.46875

0 0 1 700514.323 700514.3229

0.99503719 -0.099503719 0 334.578145 5.68434E-14

0.09950372 0.99503719 0 3345.78146 3362.46875

0 0 1 -700514.323 -700514.3229

0.99503719 0.099503726 0 -334.578145 2.41411E-05

-0.09950373 0.99503719 0 3345.78146 3362.46875

0 0 1 700514.323 700514.3229

0.99503719 0.099503726 0 -334.578145 2.41411E-05

-0.09950373 0.99503719 0 3345.78146 3362.468750 0 1 -700514.323 -700514.3229

0 -1 0 0 0

1 0 0 0 0

0 0 1 0 0

0 -1 0 0 0

1 0 0 0 0

0 0 1 0 0

0.99503719 -0.099503719 0 0 0

0.09950372 0.99503719 0 0 0

0 0 1 0 0

0.99503719 -0.099503719 0 0 0

0.09950372 0.99503719 0 0 0

0 0 1 0 0

0.99503719 0.099503726 0 0 0

-0.09950373 0.99503719 0 0 0

0 0 1 0 0

0.99503719 0.099503726 0 0 0

-0.09950373 0.99503719 0 0 0

0 0 1 0 0

0 1 0 0 0

-1 0 0 0 0

0 0 1 0 0

0 1 0 0 0

-1 0 0 0 0

0 0 1 0 0

Re4-3G

Re por cargas de viento (coordenadas globales)

Re1-2G

Re2-1G

Re2-3G

Re3-2G

Re3-4G

Re4-5G

Re3-4G

Re4-5L Re5-4L

Re por sobrecarga+nieve (coordenadas globales)

Re2-3G

Re3-2G

Re3-4L Re4-3L

Re4-3G

Re4-5G


7/19

0

0

0

0 -1 0 -515 0

1 0 0 0 -515

0 0 1 0 0

00

0

0 1 0 515 0

-1 0 0 0 -515

0 0 1 0 0

0

0

0

0 0 0

0 0 0

0 0 0

0 5.68434E-14 0 0 -5.6843E-14

-515 3362.46875 0 0 -3877.46875

0 700514.3229 0 0 -700514.323

0 5.68434E-14 2.41411E-05 0 0 -2.4141E-05

0 3362.46875 3362.46875 0 0 -6724.9375

0 -700514.3229 700514.3229 0 0 0

0 2.41411E-05 0 0 -2.4141E-05

-515 3362.46875 0 0 -3877.46875

0 -700514.3229 0 0 700514.323

0 0 0

0 0 0

0 0 0

P4

P5

P1

P2

P3

Estado de carga 2

Pa2

Cargas (coordenadas globales)

Pa3

Pa1

Pa4

Pa5


8/19

167414.0813 16310.03713 944403.1404 -163529.2493 -16310.03713 -26804.85956 0 0

16310.03713 552259.8815 268048.5959 -16310.03713 -2059.881465 268048.5959 0 0

944403.1404 268048.5959 549343568.2 26804.85956 -268048.5959 112803784.1 0 0

-163529.2493 -16310.03713 26804.85956 327058.4983 -0.001159283 53609.72105 -163529.249 16310.03829 2680

-16310.03713 -2059.881465 -268048.5959 -0.001159283 4119.763164 -0.000192448 16310.03829 -2059.881699 2680

-26804.85956 268048.5959 112803784.1 53609.72105 -0.000192448 451215136.5 -26804.86149 -268048.5957 11280 0 0 -163529.249 16310.03829 -26804.86149 167414.081 -16310.03829 9444

0 0 0 16310.03829 -2059.881699 -268048.5957 -16310.03829 552259.8817 -2680

0 0 0 26804.86149 268048.5957 112803784.1 944403.1385 -268048.5957 5493

-3884.832 0 -971208 0 0 0 0 0

0 -550200 0 0 0 0 0 0

971208 0 161868000 0 0 0 0 0

0 0 0 0 0 0 -3885 0 -9

0 0 0 0 0 0 0 -550200

0 0 0 0 0 0 971208 0 161

Matriz P Matriz K-1-5.68434E-14 0.000267708 1.22937E-07 -4.67607E-07 0.000253706 0.000115474 2.49742E-07 0.000239598 -1.

-3877.46875 1.22937E-07 1.81746E-06 -4.91749E-10 2.13788E-07 9.0876E-07 -8.44566E-10 1.22937E-07 5.

-700514.3229 -4.67607E-07 -4.91749E-10 3.04473E-09 -5.00003E-07 3.90877E-07 -9.98969E-10 -5.31972E-07 4.

-2.41411E-05 0.000253706 2.13788E-07 -5.00003E-07 0.000256826 4.42121E-12 2.49377E-07 0.000253706 -2.

-6724.9375 0.000115474 9.0876E-07 3.90877E-07 4.42121E-12 0.001208822 -3.78905E-16 -0.000115474 9

0 2.49742E-07 -8.44566E-10 -9.98969E-10 2.49377E-07 -3.78913E-16 2.71677E-09 2.49742E-07 8.4

-2.41411E-05 0.000239598 1.22937E-07 -5.31972E-07 0.000253706 -0.000115474 2.49742E-07 0.000267708 -1.

-3877.46875 -1.22937E-07 5.78687E-11 4.91749E-10 -2.13788E-07 9.0876E-07 8.44566E-10 -1.22937E-07 1.

700514.3229 -5.31972E-07 -4.91749E-10 9.53581E-10 -5.00003E-07 -3.90877E-07 -9.98969E-10 -4.67607E-07 4.

d2x -0.821643668 -0.822 Rx 7167.591289

d2y -0.013158738 -0.013 Ry 7239.937478

q2 -0.004093504 -0.004 M -1460594.183

d3x -4.40587E-08 0.000 Rx -7167.59124

d3y -8.683931795 -8.684 Ry 7239.937523

q3 -9.36039E-12 0.000 M 1460594.167

d4x 0.821643643 0.822

d4y -0.013158738 -0.013

q4 0.004093504 0.004

Matriz K

Matriz K1

d2

d3

d4

Reacciones (kg y cm)

R1

R7

Desplazamientos (cm y rad)


9/19

550200 0 0 0 1 0 0 550200 0

0 3884.832 971208 -1 0 0 -3884.832 0 971208

0 971208 323736000 0 0 1 -971208 0 323736000

-550200 0 0 0 1 0 0 -550200 0

0 -3884.832 971208 -1 0 0 3884.832 0 971208

0 -971208 161868000 0 0 1 971208 0 161868000

-550200 0 0 0 1 0 0 -550200 0

0 -3884.832 -971208 -1 0 0 3884.832 0 -971208

0 971208 161868000 0 0 1 -971208 0 161868000

550200 0 0 0 1 0 0 550200 0

0 3884.832 -971208 -1 0 0 -3884.832 0 -971208

0 -971208 323736000 0 0 1 971208 0 323736000

165160.253 0 0 0.99503719 0.099503719 0 164340.5941 16434.05939 0

0 428.8777535 269385.505 -0.09950372 0.99503719 0 -42.6749314 426.7493148 269385.505

0 269385.505 225607568.2 0 0 1 -26804.8596 268048.5959 225607568.2

-165160.253 0 0 0.99503719 0.099503719 0 -164340.594 -16434.0594 0

0 -428.877753 269385.505 -0.09950372 0.99503719 0 42.67493143 -426.749315 269385.505

0 -269385.505 112803784.1 0 0 1 26804.85956 -268048.596 112803784.1

-165160.253 0 0 0.99503719 0.099503719 0 -164340.594 -16434.0594 0

0 -428.877753 -269385.505 -0.09950372 0.99503719 0 42.67493143 -426.749315 -269385.5050 269385.505 112803784.1 0 0 1 -26804.8596 268048.5959 112803784.1

165160.253 0 0 0.99503719 0.099503719 0 164340.5941 16434.05939 0

0 428.8777535 -269385.505 -0.09950372 0.99503719 0 -42.6749314 426.7493148 -269385.505

0 -269385.505 225607568.2 0 0 1 26804.85956 -268048.596 225607568.2

165160.253 0 0 0.99503719 -0.09950373 0 164340.5939 -16434.0606 0

0 428.8777535 269385.505 0.099503726 0.99503719 0 42.67493449 426.7493145 269385.505

0 269385.505 225607568.2 0 0 1 26804.86149 268048.5957 225607568.2

-165160.253 0 0 0.99503719 -0.09950373 0 -164340.594 16434.06057 0

0 -428.877753 269385.505 0.099503726 0.99503719 0 -42.6749345 -426.749314 269385.505

0 -269385.505 112803784.1 0 0 1 -26804.8615 -268048.596 112803784.1

-165160.253 0 0 0.99503719 -0.09950373 0 -164340.594 16434.06057 0

0 -428.877753 -269385.505 0.099503726 0.99503719 0 -42.6749345 -426.749314 -269385.505

0 269385.505 112803784.1 0 0 1 26804.86149 268048.5957 112803784.1

165160.253 0 0 0.99503719 -0.09950373 0 164340.5939 -16434.0606 0

0 428.8777535 -269385.505 0.099503726 0.99503719 0 42.67493449 426.7493145 -269385.505

0 -269385.505 225607568.2 0 0 1 -26804.8615 -268048.596 225607568.2

550200 0 0 0 -1 0 0 -550200 0

0 3884.832 971208 1 0 0 3884.832 0 971208

0 971208 323736000 0 0 1 971208 0 323736000

-550200 0 0 0 -1 0 0 550200 0

0 -3884.832 971208 1 0 0 -3884.832 0 971208

0 -971208 161868000 0 0 1 -971208 0 161868000

-550200 0 0 0 -1 0 0 550200 0

0 -3884.832 -971208 1 0 0 -3884.832 0 -971208

0 971208 161868000 0 0 1 971208 0 161868000

550200 0 0 0 -1 0 0 -550200 0

0 3884.832 -971208 1 0 0 3884.832 0 -9712080 -971208 323736000 0 0 1 -971208 0 323736000

C55

C44

BARRA 4-5

C44

C45

C32

BARRA 3-4

C33

C34

C43

C54

C21

C22

C33

Matrices Cij para la obtencin de los esfuerzos en las barras

BARRA 1-2

C11

C12

BARRA 2-3

C22

C23


10/19

Nudo 2 Nudo 3 Nudo 4

dx -0.8216437 -4.406E-08 0.82164364

dy -0.0131587 -8.6839318 -0.0131587

q -0.0040935 -9.36E-12 0.0040935

N T M N T M

Re 1-2 0 0 0 Re 3-4 -334.57815 3345.78146 700514.323

Re 2-1 0 0 0 Re 4-3 -334.57815 3345.78146 -700514.32

Re 2-3 334.578145 3345.78146 700514.323 Re 4-5 0 0 0

Re 3-2 334.578145 3345.78146 -700514.32 Re 5-4 0 0 0

N12 7240 N23 7801 N34 7132 N45 7240

T12 -7168 T23 5978 T34 713 T45 7168

M12 -1460594 M23 2123201 M34 -1183936 M45 2123201

N21 -7240 N32 -7132 N43 -7801 N54 -7240

T21 7168 T32 713 T43 5978 T54 -7168

M21 -2123201 M32 1183936 M43 -2123201 M54 1460594

N12 0 0 550200 0 0 0 -550200 0 -0.8216437

T12 0 -3884.832 0 971208 0 3884.832 0 971208 -0.0131587M12 0 -971208 0 323736000 0 971208 0 161868000 -0.0040935

N21 0 0 -550200 0 0 0 550200 0 -0.8216437

T21 0 3884.832 0 -971208 0 -3884.832 0 -971208 -0.0131587

M21 0 -971208 0 161868000 0 971208 0 323736000 -0.0040935

N23 334.578145 164340.594 16434.0594 0 -0.8216437 -164340.59 -16434.059 0 -4.406E-08

T23 3345.78146 -42.674931 426.749315 269385.505 -0.0131587 42.6749314 -426.74931 269385.505 -8.6839318

M23 700514.323 -26804.86 268048.596 225607568 -0.0040935 26804.8596 -268048.6 112803784 -9.36E-12

N32 334.578145 -164340.59 -16434.059 0 -0.8216437 164340.594 16434.0594 0 -4.406E-08

T32 3345.78146 42.6749314 -426.74931 -269385.5 -0.0131587 -42.674931 426.749315 -269385.5 -8.6839318

M32 -700514.32 -26804.86 268048.596 112803784 -0.0040935 26804.8596 -268048.6 225607568 -9.36E-12

N34 -334.57815 164340.594 -16434.061 0 -4.406E-08 -164340.59 16434.0606 0 0.82164364

T34 3345.78146 42.6749345 426.749314 269385.505 -8.6839318 -42.674934 -426.74931 269385.505 -0.0131587

M34 700514.323 26804.8615 268048.596 225607568 -9.36E-12 -26804.861 -268048.6 112803784 0.0040935

N43 -334.57815 -164340.59 16434.0606 0 -4.406E-08 164340.594 -16434.061 0 0.82164364

T43 3345.78146 -42.674934 -426.74931 -269385.5 -8.6839318 42.6749345 426.749314 -269385.5 -0.0131587M43 -700514.32 26804.8615 268048.596 112803784 -9.36E-12 -26804.861 -268048.6 225607568 0.0040935

N45 0 0 -550200 0 0.82164364 0 550200 0 0

T45 0 3884.832 0 971208 -0.0131587 -3884.832 0 971208 0

M45 0 971208 0 323736000 0.0040935 -971208 0 161868000 0

N54 0 0 550200 0 0.82164364 0 -550200 0 0

T54 0 -3884.832 0 -971208 -0.0131587 3884.832 0 -971208 0

M54 0 971208 0 161868000 0.0040935 -971208 0 323736000 0

Barra 4-5

Desplazamientos (cm y rad)

Clculo de los esfuerzos en las barras

Barra 1-2 Barra 2-3 Barra 3-4

Resultados

Reacciones en coordenadas locales (kg y cm)

Clculosprevios


11/19

Longitud (cm) a N (kg) x

Barra 1-2 500 90 7240 0.928057168

Barra 2-3 1256.234453 5.710593137 7801 1

Barra 3-4 1256.234453 354.2894069 7801 1

Barra 4-5 500 270 7240 0.928057174

N0 7801 Axil mx.

0 -1 0 0 0 0

1 0 0 0 36 1500

0 0 1 0 1500 1000000

0 -36 -1500 0 1 0 36

0 0 0 -1 0 0 0

0 1500 1000000 0 0 1 -1500

0 -1 0 0 0 0

1 0 0 0 -36 1500

0 0 1 0 -1500 -250000

0 36 -1500 0 1 0 -36

0 0 0 -1 0 0 0

0 -1500 -250000 0 0 1 1500

0 -1 0 0 0 01 0 0 0 -36 -1500

0 0 1 0 1500 -250000

0 36 1500 0 1 0 -36

0 0 0 -1 0 0 0

0 1500 -250000 0 0 1 -1500

0 -1 0 0 0 0

1 0 0 0 36 -1500

0 0 1 0 -1500 1000000

0 -36 1500 0 1 0 36

0 0 0 -1 0 0 0

0 -1500 1000000 0 0 1 1500

0.99503719 -0.099503719 0 0 0 0

0.099503719 0.99503719 0 0 36 3768.703358

0 0 1 0 3768.703358 63125000 -3.582133881 -374.9999996 0.99503719 0.099503719 0 0.356435643 -

0 35.82133885 3750 -0.099503719 0.99503719 0 -3.564356432 3

0 3768.703358 6312500 0 0 1 -374.9999996

0.99503719 -0.099503719 0 0 0 0

0.099503719 0.99503719 0 0 -36 3768.703358

0 0 1 0 -3768.703358 -1578125

0 3.582133881 -374.9999996 0.99503719 0.099503719 0 -0.356435643 3

0 -35.82133885 3750 -0.099503719 0.99503719 0 3.564356432 -

0 -3768.703358 -1578125 0 0 1 374.9999996

0.99503719 -0.099503719 0 0 0 0

0.099503719 0.99503719 0 0 -36 -3768.703358

0 0 1 0 3768.703358 -1578125

0 3.582133881 374.9999996 0.99503719 0.099503719 0 -0.356435643 3

0 -35.82133885 -3750 -0.099503719 0.99503719 0 3.564356432 -

0 3768.703358 -1578125 0 0 1 -374.9999996

0.99503719 -0.099503719 0 0 0 0

0.099503719 0.99503719 0 0 36 -3768.703358

0 0 1 0 -3768.703358 6312500

0 -3.582133881 374.9999996 0.99503719 0.099503719 0 0.356435643 -

0 35.82133885 -3750 -0.099503719 0.99503719 0 -3.564356432 3

0 -3768.703358 6312500 0 0 1 374.9999996

Kg32

Kg33

Obtencin de la matriz Kg

Barra 1-2

Kg11

Kg12

Kg21

Kg22

Barra 2-3

Kg22

Kg23

1

2

3

4

5


12/19

0.99503719 0.099503726 0 0 0 0

-0.099503726 0.99503719 0 0 36 3768.703358

0 0 1 0 3768.703358 6312500

0 3.582134138 375.0000265 0.99503719 -0.099503726 0 0.356435694

0 35.82133882 3749.999997 0.099503726 0.99503719 0 3.564356685

0 3768.703358 6312500 0 0 1 375.0000265

0.99503719 0.099503726 0 0 0 0

-0.099503726 0.99503719 0 0 -36 3768.7033580 0 1 0 -3768.703358 -1578125

0 -3.582134138 375.0000265 0.99503719 -0.099503726 0 -0.356435694

0 -35.82133882 3749.999997 0.099503726 0.99503719 0 -3.564356685

0 -3768.703358 -1578125 0 0 1 -375.0000265

0.99503719 0.099503726 0 0 0 0

-0.099503726 0.99503719 0 0 -36 -3768.703358

0 0 1 0 3768.703358 -1578125

0 -3.582134138 -375.0000265 0.99503719 -0.099503726 0 -0.356435694

0 -35.82133882 -3749.999997 0.099503726 0.99503719 0 -3.564356685

0 3768.703358 -1578125 0 0 1 375.0000265

0.99503719 0.099503726 0 0 0 0

-0.099503726 0.99503719 0 0 36 -3768.703358

0 0 1 0 -3768.703358 6312500

0 3.582134138 -375.0000265 0 .99503719 -0.099503726 0 0.356435694

0 35.82133882 -3749.999997 0.099503726 0.99503719 0 3.564356685 0 -3768.703358 6312500 0 0 1 -375.0000265

0 1 0 0 0 0

-1 0 0 0 36 1500

0 0 1 0 1500 1000000

0 36 1500 0 -1 0 36

0 0 0 1 0 0 0

0 1500 1000000 0 0 1 1500

0 1 0 0 0 0

-1 0 0 0 -36 1500

0 0 1 0 -1500 -250000

0 -36 1500 0 -1 0 -36

0 0 0 1 0 0 0

0 -1500 -250000 0 0 1 -1500

0 1 0 0 0 0-1 0 0 0 -36 -1500

0 0 1 0 1500 -250000

0 -36 -1500 0 -1 0 -36

0 0 0 1 0 0 0

0 1500 -250000 0 0 1 1500

0 1 0 0 0 0

-1 0 0 0 36 -1500

0 0 1 0 -1500 1000000

0 36 -1500 0 -1 0 36

0 0 0 1 0 0 0

0 -1500 1000000 0 0 1 -1500

Kg44

Kg45

Kg54

Kg55

Kg44

Barra 4-5

Barra 3-4

Kg33

Kg34

Kg43


13/19

36 0 -1500 0.002227337 0 -0.092805717

0 0 0 0 0 0

-1500 0 1000000 -0.092805717 0 61.87047787

-36 0 -1500 -0.002227337 0 -0.092805717

0 0 0 0 0 0

1500 0 -250000 0.092805717 0 -15.46761947

-36 0 1500 -0.002227337 0 0.0928057170 0 0 0 0 0

-1500 0 -250000 -0.092805717 0 -15.46761947

36 0 1500 0.002227337 0 0.092805717

0 0 0 0 0 0

1500 0 1000000 0.092805717 0 61.87047787

0.356435643 -3.564356432 -374.9999996 9.45778E-06 -9.45778E-05 -0.009950372

-3.564356432 35.64356436 3750 -9.45778E-05 0.000945778 0.099503719

-374.9999996 3750 6312500 -0.009950372 0.099503719 167.497927

-0.356435643 3.564356432 -374.9999996 -9.45778E-06 9.45778E-05 -0.009950372

3.564356432 -35.64356436 3750 9.45778E-05 -0.000945778 0.099503719

374.9999996 -3750 -1578125 0.009950372 -0.099503719 -41.87448175

-0.356435643 3.564356432 374.9999996 -9.45778E-06 9.45778E-05 0.009950372

3.564356432 -35.64356436 -3750 9.45778E-05 -0.000945778 -0.099503719

-374.9999996 3750 -1578125 -0.009950372 0.099503719 -41.874481750.356435643 -3.564356432 374.9999996 9.45778E-06 -9.45778E-05 0.009950372

-3.564356432 35.64356436 -3750 -9.45778E-05 0 .000945778 -0.099503719

374.9999996 -3750 6312500 0.009950372 -0.099503719 167.497927

0.356435694 3.564356685 375.0000265 9.45778E-06 9.45778E-05 0.009950373

3.564356685 35.64356431 3749.999997 9.45778E-05 0.000945778 0.099503719

375.0000265 3749.999997 6312500 0.009950373 0.099503719 167.497927

-0.356435694 -3.564356685 375.0000265 -9.45778E-06 -9.45778E-05 0.009950373

-3.564356685 -35.64356431 3749.999997 -9.45778E-05 -0.000945778 0.099503719

-375.0000265 -3749.999997 -1578125 -0.009950373 -0.099503719 -41.87448175

-0.356435694 -3.564356685 -375.0000265 -9.45778E-06 -9.45778E-05 -0.009950373

-3.564356685 -35.64356431 -3749.999997 -9.45778E-05 -0.000945778 -0.099503719

375.0000265 3749.999997 -1578125 0.009950373 0.099503719 -41.87448175

0.356435694 3.564356685 -375.0000265 9.45778E-06 9.45778E-05 -0.009950373

3.564356685 35.64356431 -3749.999997 9.45778E-05 0.000945778 -0.099503719

-375.0000265 -3749.999997 6312500 -0.009950373 -0.099503719 167.497927

36 0 1500 0.002227337 0 0.092805717

0 0 0 0 0 0

1500 0 1000000 0.092805717 0 61.87047825

-36 0 1500 -0.002227337 0 0.092805717

0 0 0 0 0 0

-1500 0 -250000 -0.092805717 0 -15.46761956

-36 0 -1500 -0.002227337 0 -0.092805717

0 0 0 0 0 0

1500 0 -250000 0.092805717 0 -15.46761956

36 0 -1500 0.002227337 0 -0.092805717

0 0 0 0 0 0

-1500 0 1000000 -0.092805717 0 61.87047825

0.002236795 -9.45778E-05 0.082855345 1.89156E-05 6.71476E-12

-9.45778E-05 0.000945778 0.099503719 6.71476E-12 0.001891556

0.082855345 0.099503719 229.3684049 0.019900744 -7.9469E-11

0.002236795 9.45778E-05 0.082855345

9.45778E-05 0.000945778 -0.099503719

0.082855345 -0.099503719 229.3684053

Kg43

Kg33

Kg44

Kg45

Kg54

Kg55

Kg22

Kg34

Kg44

Kg44

Kg32

Kg33

Kg12

Kg21

Kg22

Kg22

Kg23

Kg11

x.Kgij/30.L

Kg33


14/19

-1500

0

1000000

-1500

0

-250000

1500

0

-250000

1500

0

1000000

-375

3750

6312500

-375

3750

-1578125

375

-3750

-1578125

375

-3750

6312500


15/19

375.000026

3750

6312500

375.000026

3750

-1578125

-375.000026

-3750

-1578125

-375.000026

-37506312500

1500

0

1000000

1500

0

-250000

-1500

0

-250000

-1500

0

1000000


16/19

0.002236795 -9.45778E-05 0.082855345 -9.45778E-06 9.45778E-05 -0.009950372 0 0

-9.45778E-05 0.000945778 0.099503719 9.45778E-05 -0.000945778 0.099503719 0 0

0.082855345 0.099503719 229.3684049 0.009950372 -0.099503719 -41.87448175 0 0

-9.45778E-06 9.45778E-05 0.009950372 1.89156E-05 6.71476E-12 0.019900744 -9.45778E-06 -9.45778E-05 0

9.45778E-05 -0.000945778 -0.099503719 6.71476E-12 0.001891556 -7.9469E-11 -9.45778E-05 -0.000945778 0

-0.009950372 0.099503719 -41.87448175 0.019900744 -7.9469E-11 334.995854 -0.009950373 -0.099503719 -4

0 0 0 -9.45778E-06 -9.45778E-05 -0.009950373 0.002236795 9.45778E-05 0

0 0 0 -9.45778E-05 -0.000945778 -0.099503719 9.45778E-05 0.000945778 -0

0 0 0 0.009950373 0.099503719 -41.87448175 0.082855345 -0.099503719 2

0.000267708 1.22937E-07 -4.67607E-07 0.000253706 0.000115474 2.49742E-07 0.000239598 -1.22937E-07

1.22937E-07 1.81746E-06 -4.91749E-10 2.13788E-07 9.0876E-07 -8.44566E-10 1.22937E-07 5.78687E-11

-4.67607E-07 -4.91749E-10 3.04473E-09 -5.00003E-07 3.90877E-07 -9.98969E-10 -5.31972E-07 4.91749E-10

0.000253706 2.13788E-07 -5.00003E-07 0.000256826 4.42121E-12 2.49377E-07 0.000253706 -2.13788E-07

0.000115474 9.0876E-07 3.90877E-07 4.42121E-12 0.001208822 -3.78905E-16 -0.000115474 9.0876E-07

2.49742E-07 -8.44566E-10 -9.98969E-10 2.49377E-07 -3.78913E-16 2.71677E-09 2.49742E-07 8.44566E-10

0.000239598 1.22937E-07 -5.31972E-07 0.000253706 -0.000115474 2.49742E-07 0.000267708 -1.22937E-07

-1.22937E-07 5.78687E-11 4.91749E-10 -2.13788E-07 9.0876E-07 8.44566E-10 -1.22937E-07 1.81746E-06

-5.31972E-07 -4.91749E-10 9.53581E-10 -5.00003E-07 -3.90877E-07 -9.98969E-10 -4.67607E-07 4.91749E-10

5.66089E-07 -1.32099E-07 -0.000104485 -4.95186E-09 2.1468E-07 0.000125545 4.76038E-07 -8.25805E-08

1.5468E-10 7.35055E-10 2.53067E-08 1.47011E-10 -9.48215E-18 -5.90963E-08 1.5468E-10 -7.35055E-10

-7.41985E-10 -1.6965E-10 6.57536E-07 1.98075E-11 5.37375E-10 -5.0218E-07 -1.13316E-09 -3.67725E-10

5.21131E-07 -2.44409E-08 -0.00010153 -4.88819E-09 8.19999E-15 0.000125519 5.21131E-07 2.44409E-08

4.0492E-07 -1.11445E-06 -2.09695E-05 8.05822E-15 2.22889E-06 -3.76244E-14 -4.0492E-07 -1.11445E-06

4.46541E-10 1.70094E-10 -3.19806E-07 3.40188E-11 -8.43845E-19 9.93594E-07 4.46541E-10 -1.70094E-10

4.76038E-07 8.25805E-08 -9.85966E-05 -4.95186E-09 -2.1468E-07 0.000125545 5.66089E-07 1.32099E-07 -

-1.5468E-10 -7.35055E-10 -2.53067E-08 -1.47011E-10 9.48215E-18 5.90963E-08 -1.5468E-10 7.35055E-10

-1.13316E-09 3.67725E-10 2.50346E-07 1.98075E-11 -5.37375E-10 -5.0218E-07 -7.41985E-10 1.6965E-10

Matriz K-1

Matriz D

Matriz Kg


17/19

U1 U2 U2N U3 U3N U4 U4N U5

1 -7.64989E-05 -0.577334087 -8.81475E-07 -0.577323403 -9.15854E-07 -0.577331482 -1.03417E-06 -

1 -8.02641E-09 -6.0575E-05 -2.676E-10 -0.000175265 -1.87935E-10 -0.00011847 -1.29475E-10 -

1 4.03846E-07 0.003047809 2.4931E-09 0.001632859 2.49543E-09 0.001573058 2.96295E-09 0

1 -7.65023E-05 -0.577360324 -8.8159E-07 -0.577399316 -9.15935E-07 -0.577382794 -1.03422E-06 -

1 -2.38608E-13 -1.80077E-09 -3.79069E-15 -2.48272E-09 -5.02496E-15 -3.16761E-09 -6.57703E-15 -

1 3.5491E-07 0.002678491 1.76652E-10 0.000115698 -1.46474E-09 -0.000923334 -2.45885E-09 -01 -7.64989E-05 -0.577334087 -8.81475E-07 -0.577323403 -9.15854E-07 -0.577331481 -1.03417E-06 -

1 8.02641E-09 6.0575E-05 2.676E-10 0.000175265 1.87935E-10 0.00011847 1.29475E-10 7

1 4.03846E-07 0.003047809 2.4931E-09 0.001632859 2.49543E-09 0.001573058 2.96295E-09 0

LANDA 0.000132504 1.52683E-06 1.58636E-06 1.79127E-06

P 7546.962582 654951.844 630375.0375 558264.0168

U6 U6N U7 U7N U8 U8N U9

-1.10705E-06 -0.577340475 -1.13791E-06 -0.577341497 -1.14913E-06 -0.57734185 -1.15297E-06 -

-9.87502E-11 -5.14995E-05 -8.63145E-11 -4.37932E-05 -8.187E-11 -4.11329E-05 -8.03576E-11 -

3.26221E-09 0.001701285 3.39017E-09 0.001720066 3.43682E-09 0.001726718 3.45282E-09 0

-1.10709E-06 -0.577362781 -1.13795E-06 -0.577360465 -1.14916E-06 -0.577359666 -1.153E-06 -

-7.74425E-15 -4.03873E-09 -8.59218E-15 -4.3594E-09 -9.32998E-15 -4.68754E-09 -1.00835E-14 -

-2.95715E-09 -0.001542195 -3.15575E-09 -0.001601126 -3.22631E-09 -0.001620954 -3.25027E-09 -

-1.10705E-06 -0.577340474 -1.13791E-06 -0.577341497 -1.14913E-06 -0.577341849 -1.15297E-06 -

9.87502E-11 5.14995E-05 8.63145E-11 4.37932E-05 8.187E-11 4.11329E-05 8.03576E-11 43.26221E-09 0.001701285 3.39017E-09 0.001720066 3.43682E-09 0.001726718 3.45282E-09 0

LANDA 1.9175E-06 1.97096E-06 1.99038E-06 1.99703E-06

P 521513.2202 507368.1819 502417.2529 500743.6744

U10 U10N U11 U11N U12 U12N U13

-1.15426E-06 -0.577342008 -1.15468E-06 -0.577342021 -1.15483E-06 -0.577342026 -1.15487E-06 -

-7.98521E-11 -3.99408E-05 -7.96842E-11 -3.98421E-05 -7.96286E-11 -3.98094E-05 -7.96102E-11 -

3.45818E-09 0.001729732 3.45997E-09 0.001729983 3.46056E-09 0.001730066 3.46075E-09 0

-1.15429E-06 -0.577359307 -1.15472E-06 -0.577359277 -1.15486E-06 -0.577359268 -1.15491E-06 -

-1.09136E-14 -5.45882E-09 -1.18533E-14 -5.92666E-09 -1.29267E-14 -6.46257E-09 -1.41563E-14 -

-3.25827E-09 -0.001629737 -3.26092E-09 -0.00163046 -3.2618E-09 -0.0016307 -3.26209E-09 -

-1.15426E-06 -0.577342007 -1.15468E-06 -0.57734202 -1.15483E-06 -0.577342024 -1.15487E-06 -

7.98521E-11 3.99408E-05 7.96842E-11 3.98421E-05 7.96286E-11 3.98094E-05 7.96102E-11 3

3.45818E-09 0.001729732 3.45997E-09 0.001729983 3.46056E-09 0.001730066 3.46075E-09 0

LANDA 1.99926E-06 2E-06 2.00025E-06 2.00033E-06P 500185.3361 500000.0032 499938.6058 499918.2818


18/19

U14 U14N U15 U15N U16 U16N U17

-1.15489E-06 -0.577342028 -1.15489E-06 -0.577342028 -1.1549E-06 -0.577342028 -1.1549E-06 -

-7.96041E-11 -3.9795E-05 -7.96021E-11 -3.97938E-05 -7.96014E-11 -3.97934E-05 -7.96012E-11 -

3.46082E-09 0.001730103 3.46084E-09 0.001730106 3.46085E-09 0.001730107 3.46085E-09 0

-1.15492E-06 -0.577359263 -1.15493E-06 -0.577359263 -1.15493E-06 -0.577359263 -1.15493E-06 -

-1.5566E-14 -7.7816E-09 -1.71826E-14 -8.58972E-09 -1.90367E-14 -9.51659E-09 -2.11632E-14 -

-3.26219E-09 -0.001630805 -3.26222E-09 -0.001630814 -3.26223E-09 -0.001630817 -3.26223E-09 -

-1.15489E-06 -0.577342026 -1.15489E-06 -0.577342026 -1.1549E-06 -0.577342026 -1.1549E-06 -7.96041E-11 3.9795E-05 7.96021E-11 3.97938E-05 7.96014E-11 3.97934E-05 7.96012E-11 3

3.46082E-09 0.001730103 3.46084E-09 0.001730106 3.46085E-09 0.001730107 3.46085E-09 0

LANDA 2.00035E-06 2.00036E-06 2.00037E-06 2.00037E-06

P 499911.5562 499909.3308 499908.5946 499908.351


19/19

Longitud (cm) a N (kg)

Barra 1-2 500 90 7240

Barra 2-3 1256.23445 5.710593137 7801

Barra 3-4 1256.23445 354.2894069 7801

Barra 4-5 500 270 7240

7801

I (cm4) A (cm2)

Pilar HEB-280 19270 131 acrit 64.0811512Dintel IPE-450 33740 98.8

E 2100000

Peuler Pcrit b

Barra 1-2 1597573 463944 1.856

Barra 2-3 443121 499908 0.941

Barra 3-4 443121 499908 0.941

Barra 4-5 1597573 463944 1.856

Obtencin de acrit y b

Axil mximo (N0)

Resultados

1

2

3

4

5

Portico Biem Pot Rado Si Met Rico

Documents