l S l SC I ASC l S I AC l S l SC I ASC l S I AC

MATRIZ DE RIGIDEZ DE PORTICOS EMPOTRADO EMPOTRADO EN DATOS GENERALES BARRA AREA[M^2] A= INERCIA [M^4] I= MODULO DE ELAS

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MATRIZ DE RIGIDEZ DE PORTICOS EMPOTRADO EMPOTRADO EN

DATOS GENERALES BARRA AREA[M^2] A= INERCIA [M^4] I= MODULO DE ELASTICIDAD [T/M^2] E= LONGITUD [M] L= COSENO A= SENO A= M= N= O= P= Q= R=

0.12 0.0016 2530000 4 1 0 2024 37.5 0 0 0.375 0.75

K2-3=

DX2 75900.00 0.00 0.00 -75900.00 0.00 0.00

ASC 6 SC  2 2I l 2S 2 6C 2  2 2I l 3C l ASC 6SC   2 2I l AS 2 6C 2   2 2I l 3C l

MATRIZ GLOBAL ELEMENTAL DY2 O2 DX3 0.00 0.00 -75900.00 759.00 1518.00 0.00 1518.00 4048.00 0.00 0.00 0.00 75900.00 -759.00 -1518.00 0.00 1518.00 2024.00 0.00

3S l 3C l



2 3S l 3C  l 1

AC 2 6 S 2  2 2I l ASC 6SC   2 2I l 3S l 2 AC 6S 2  2 2I l ASC 6 SC  2 2I l 3S l 

ASC 6 SC  2 2I l AS 2 6C 2   2 2I l 3C  l ASC 6 SC  2 2I l AS 2 6C 2  2 2I l 3C  l



DY3

O3

0.00 -759.00 -1518.00 0.00 759.00 -1518.00

0.00 DX2 1518.00 DY2 2024.00 O2 0.00 DX3 -1518.00 DY3 4048.00 O3

3S l 3C l



1

3S l 3C  l 2

MATRIZ DE RIGIDEZ DE PORTICOS EMPOTRADO ARTICULADO EN

DATOS GENERALES BARRA AREA[M^2] A= INERCIA [M^4] I= MODULO DE ELASTICIDAD [T/M^2] E= LONGITUD [M] L= COSENO A=

 AC 2 6 S 2  2  2 I l  ASC 6 SC   2  2I l  3S  2 EI  l K'  2 6S 2 l  AC   2  2I l  ASC 6 SC  2  l  2I 3S    l

0.12 0.0016 2530000 5 0.6

SENO A= M= N= O= P= Q= R= S= T= U=

0.8 21859.2 62.17728 29145.6 -46.63296 -388.608 38860.8 34.97472 291.456 2428.8

K1-2=

DX1 21921.38 29098.97 -388.61 -21921.38 -29098.97 0.00

MATRIZ GLOBAL ELEMENTAL DY1 O1 DX2 29098.97 -388.61 -21921.38 38895.77 291.46 -29098.97 291.46 2428.80 388.61 -29098.97 388.61 21921.38 -38895.77 -291.46 29098.97 0.00 0.00 0.00

DY2 -29098.97 -38895.77 -291.46 29098.97 38895.77 0.00

O2 0.00 DX1 0.00 DY1 0.00 O1 0.00 DX2 0.00 DY2 0.00 O2

MATRIZ ENSAMBLADA DX1

21921.38 29098.97 -388.61 -21921.38 -29098.97 0.00 0.00 0.00 0.00

DY1

29098.97 38895.77 291.46 -29098.97 -38895.77 0.00 0.00 0.00 0.00

O1

-388.61 291.46 2428.80 388.61 -291.46 0.00 0.00 0.00 0.00

DX2

-21921.38 -29098.97 388.61 97821.38 29098.97 0.00 -75900.00 0.00 0.00

DY2

-29098.97 -38895.77 -291.46 29098.97 39654.77 1518.00 0.00 -759.00 1518.00

O2

0.00 0.00 0.00 0.00 1518.00 4048.00 0.00 -1518.00 2024.00

DX3

0.00 0.00 0.00 -75900.00 0.00 0.00 75900.00 0.00 0.00

MATRIZ REDUCIDA DX2

DY2

O2

97821.38 29098.97 0.00 0.00

29098.97 39654.77 1518.00 1518.00

0.00 1518.00 4048.00 2024.00

0.000013149 -9.83709E-06 2.459271E-06 2.459271E-06

-9.837085E-06 3.306912E-05 -8.26728E-06 -8.26728E-06

2.459271E-06 -8.26728E-06 0.0003314476 -0.000162624

O3

0.00 DX2 1518.00 DY2 2024.00 O2 4048.00 O3 2.45927E-06 -8.26728E-06 -0.00016262 0.000331448

F-FEP

10.00 -6.00 -4.00 4.00

DO EMPOTRADO EN COORDENADAS GLOBALES 3 t/m

ASC 6SC  2 2I l AS 2 6C 2   2 2I l 3C  l ASC 6 SC  2 2I l AS 2 6C 2  2 2I l 3C  l



3S   l  3C  l   1   3S  l  3C    l  2   

FEP 0 6 4 0 6 -4

10 t.

4m

4m

3m

D 0.0001905121 -0.0002967856 -0.0019020882 0 0 0.002050481

K*D 14.46 0.00 -4.00 -14.46 0.00 4.00

DO ARTICULADO EN COORDENADAS GLOBALES

�=�(𝑑+�)+FEP

K*D+FEP

14.46 6.00 0.00 -14.46 6.00 0.00

FEP

D

0 0 0 0.0001905121 -0.000296786 -0.001902088

0 0 0 0 0 0

DY3

0.00 0.00 0.00 0.00 -759.00 -1518.00 0.00 759.00 -1518.00

O3

0.00 DX1 0.00 DY1 0.00 O1 0.00 DX2 1518.00 DY2 2024.00 O2 0.00 DX3 -1518.00 DY3 4048.00 O3

K*D

K*D+FEP

4.46 6.00 0.16 -4.46 -6.00 0.00

4.46 6.00 0.16 -4.46 -6.00 0.00

VF 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00

FEP 0.00 0.00 0.00 0.00 6.00 4.00 0.00 6.00 -4.00

F-FEP 0.00 0.00 0.00 10.00 -6.00 -4.00 0.00 -6.00 4.00

D 0.00000 0.00000 0.00000 0.00019 -0.00030 -0.00190 0.00000 0.00000 0.00205

K*D 4.46 6.00 0.16 10.00 -6.00 -4.00 -14.46 0.00 4.00

K*D+FEP 4.46 6.00 0.16 10.00 0.00 0.00 -14.46 6.00 0.00

D

0.0001905121 m -0.000296786 m -0.001902088 rad 0.002050481 rad

MATRIZ DE RIGIDEZ DE

DATOS GENERALES BARRA AREA[M^2] A= INERCIA [M^4] I= MODULO DE ELASTICIDAD [T/M^2] E= LONGITUD [M] L= COSENO A= SENO A= M= N= O= P= Q= R=

0.12 0.0016 2530000 4 1 0 2024 37.5 0 0 0.375 0.75

K2-3=

M= N= O= P= Q= R= S= T= U=

DX2 75900.00 0.00 0.00 -75900.00 0.00 0.00

ASC 6 SC  2 2I l 2 S 2 6C 2  2 2I l 3C l ASC 6 SC   2 2I l AS 2 6C 2   2 2I l 3C l

MATRIZ GLOBAL ELEMENTAL DY2 O2 0.00 0.00 759.00 1518.00 1518.00 4048.00 0.00 0.00 -759.00 -1518.00 1518.00 2024.00

MATRIZ DE RIGIDEZ DE

DATOS GENERALES BARRA AREA[M^2] A= INERCIA [M^4] I= MODULO DE ELASTICIDAD [T/M^2] E= LONGITUD [M] L= COSENO A= SENO A=

 AC 2 6 S 2  2  2 I l  ASC 6 SC   2  2I l  3S  2 EI  l K'  2 6S 2 l  AC   2  2I l  ASC 6 SC  2  l  2I 3S    l

0.12 0.0016 2530000 5 0.6 0.8 21859.2 62.17728 29145.6 -46.63296 -388.608 38860.8 34.97472 291.456 2428.8 MATRIZ GLOBAL ELEMENTAL

DX1 21921.38 29098.97 -388.61 -21921.38 -29098.97 0.00

K1-2=

DY1 29098.97 38895.77 291.46 -29098.97 -38895.77 0.00

O1 -388.61 291.46 2428.80 388.61 -291.46 0.00

DX1

DY1

O1

21921.38 29098.97 -388.61 -21921.38 -29098.97 0.00 0.00 0.00 0.00

29098.97 38895.77 291.46 -29098.97 -38895.77 0.00 0.00 0.00 0.00

DX2

DY2

MATRIZ ENSAMBLADA -388.61 291.46 2428.80 388.61 -291.46 0.00 0.00 0.00 0.00

MATRIZ REDUCIDA 97821.38 29098.97 0.00 0.00 0.000013149 -9.8370851E-06 2.4592713E-06 2.4592713E-06

29098.97 39654.77 1518.00 1518.00

O2

0.00 1518.00 4048.00 2024.00

-9.8370851E-06 2.4592713E-06 3.3069119E-05 -8.26728E-06 -8.2672798E-06 0.0003314476 -8.2672798E-06 -0.0001626236

TRIZ DE RIGIDEZ DE PORTICOS EMPOTRADO EMPOTRADO EN COORDENADAS GLOBALES

S2

2

SC

2

S2 l2 SC l2

ASC 6 SC  2 2I l 2S 2 6C 2  2 2I l 3C l ASC 6 SC   2 2I l AS 2 6C 2   2 2I l 3C l

GLOBAL ELEMENTAL DX3 -75900.00 0.00 0.00 75900.00 0.00 0.00

3S l 3C l



2 3S l 3C  l 1

AC 2 6 S 2  2 2I l ASC 6 SC   2 2I l 3S l 2 AC 6S 2  2 2I l ASC 6 SC  2 2I l 3S l 

ASC 6 SC  2 2I l AS 2 6C 2   2 2I l 3C  l ASC 6 SC  2 2I l AS 2 6C 2  2 2I l 3C  l



DY3

O3

0.00 -759.00 -1518.00 0.00 759.00 -1518.00

0.00 DX2 1518.00 DY2 2024.00 O2 0.00 DX3 -1518.00 DY3 4048.00 O3

3S   l  3C  l   1   3S  l  3C    l  2   

FEP

10 t.

3m

D

K*D

0 6 4 0 6 -4

TRIZ DE RIGIDEZ DE PORTICOS EMPOTRADO ARTICULADO EN COORDENADAS GLOBALES

GLOBAL ELEMENTAL

DX2 -21921.38 -29098.97 388.61 21921.38 29098.97 0.00

DY2 -29098.97 -38895.77 -291.46 29098.97 38895.77 0.00

DX2

-21921.38 -29098.97 388.61 97821.38 29098.97 0.00 -75900.00 0.00 0.00

DY2

-29098.97 -38895.77 -291.46 29098.97 39654.77 1518.00 0.00 -759.00 1518.00

O3

0.00 DX2 1518.00 DY2 2024.00 O2 4048.00 O3 2.45927E-06 -8.26728E-06 -0.00016262 0.000331448

O2

FEP 0.00 DX1 0.00 DY1 0.00 O1 0.00 DX2 0.00 DY2 0.00 O2

O2

0.00 0.00 0.00 0.00 1518.00 4048.00 0.00 -1518.00 2024.00

F-FEP

10.00 -6.00 -4.00 4.00

D 0 0 0 0 0 0

DX3

0.00 0.00 0.00 -75900.00 0.00 0.00 75900.00 0.00 0.00

DY3

0.00 0.00 0.00 0.00 -759.00 -1518.00 0.00 759.00 -1518.00

D

0.0001905121 m -0.000296786 m -0.001902088 rad 0.002050481 rad

O3

0.00 DX1 0.00 DY1 0.00 O1 0.00 DX2 1518.00 DY2 2024.00 O2 0.00 DX3 -1518.00 DY3 4048.00 O3

K*D

3 t/m

10 t.

m

4m

4m

K*D+FEP

K*D+FEP

VF 0.00 0.00 0.00 10.00 0.00 0.00 0.00 0.00 0.00

FEP 0.00 0.00 0.00 0.00 6.00 4.00 0.00 6.00 -4.00

F-FEP 0.00 0.00 0.00 10.00 -6.00 -4.00 0.00 -6.00 4.00

D 0.00000 0.00000 0.00000 0.00019 -0.00030 -0.00190 0.00000 0.00000 0.00205

K*D 4.46 6.00 0.16 10.00 -6.00 -4.00 -14.46 0.00 4.00

K*D+FEP 4.46 DX1 6.00 DY1 0.16 O1 10.00 DX2 0.00 DY2 0.00 O2 -14.46 DX3 6.00 DY3 0.00 O3

�=�(𝑑+�)+FEP

t t t-m t t t-m t t t-m

FEP