EJERCICIO 2-3 VIGAS.xlsx

8/18/2019 EJERCICIO 2-3 VIGAS.xlsx

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DATOS GENERALES BARRA 1 MATRIZ DE RIGIDEZ DE PORTICOS

AREA[M^2] A= 0.0625

INERCIA [M^4] I= 0.0003255208

MODULO DE ELASTIC 2530000

LONGITUD [M] L= 1.5

COSENO A= 1

SENO A= 0

M= 1098.0902777778

N= 96

O= 0

P= 0

Q= 2.6666666667

R= 2

DY1 O1 DY2

2928.241 2196.181 -2928.241

BARRA 1-2 K12= 2196.181 2196.181 -2196.181

-2928.241 -2196.181 2928.241

2196.181 1098.090 -2196.181


AREA[M^2] A= 0.0625

INERCIA [M^4] I= 0.0003255208


LONGITUD [M] L= 2

COSENO A= 1

SENO A= 0

M= 823.5677083333

N= 96

O= 0

P= 0

Q= 1.5

R= 1.5

DY2 O2 DY3

1235.352 1235.352 -1235.352

BARRA 2-3 K2-3= 1235.352 1647.135 -1235.352

-1235.352 -1235.352 1235.352

1235.352 823.568 -1235.352


AREA[M^2] A= 0.0625

INERCIA [M^4] I= 0.0003255208

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LONGITUD [M] L= 2

COSENO A= 1

SENO A= 0

M= 823.5677083333

N= 96

O= 0

P= 0

Q= 1.5

R= 1.5

DY3 O`3 DY4

1235.352 1235.352 -1235.352

BARRA 3-4 K3-4= 1235.352 1647.135 -1235.352

-1235.352 -1235.352 1235.352

1235.352 823.568 -1235.352

ENSAMBLADA DE LA MATRIZDY1 O1 DY2 O2

2928.241 2196.181 -2928.241 2196.181

2196.181 2196.181 -2196.181 1098.090

-2928.241 -2196.181 4163.592 -960.829

K= 2196.181 1098.090 -960.829 3843.316

0 0 -1235.352 -1235.352

0 0 1235.352 823.5680 0 0 0

0 0 0 0

0 0 0 0

MATRIZ REDUCIDA

DY2 O2 DY3 O3

4166.592 -960.829 -1235.352 1235.352

-960.829 3843.316 -1235.352 823.568

Kred= -1235.352 -1235.352 240.03 -1235.352

1235.352 823.568 -1235.352 164.135

0.000 0.000 1235.352 0.000

0.000 0.000 1235.352 0.000

IN!ERSA

0.0013604328 0.0013604328 0.0040812985 0.001360433

0.0013604328 0.001815688 0.004991904 0.00181569K-1= 0.0040812985 0.004991904 0.013031839 0.00420429

0.0013604328 0.001815688 0.004204289 0.00424422

−

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-0.002040649 -0.0024959852 -0.008651592 -0.00310214

-0.002040649 -0.0024959852 -0.008651592 -0.00310214


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EN COORDENADAS GLOBALES

O2 D EP

2196.181 DY1 0 1.5

1098.090 O1 0 -0.37

-2196.181 DY2 -0.0228144584 3.5

2196.181 O2 -0.026898822 -0.38


O3 D EP

1235.352 DY2 -0.0228144584 3.5

823.568 O2 -0.026898822 -0.38

-1235.352 DY3 -0.0923566083 2.9

1647.135 O3 -0.0391625374 0.5


−

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+−−−

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O4 D EP

1235.352 DY3 -0.0923566083 -2.9

823.568 O`3 0.0455307152 0.4

-1235.352 DY4 0 -0.1

1647.135 O4 0.0479591737 2.4

DY3 O3 O`3 DY4 O4

0 0 0 0 0 DY1

0 0 0 0 0 O1

-1235.352 1235.352 0 0 0 DY2

-1235.352 823.568 0 0 0 O2

240.03 -1235.352 1235.352 -1235.352 1235.352 DY3

-1235.352 164.135 0 0 0 O31235.352 0 164.135 -1235.352 823.568 O`3

-1235.352 0 -1235.352 1235.352 -1235.352 DY4

1235.352 0 823.568 -1235.352 164.135 O4

O`3 O4 F-FEP

0.000 0.000 DY2 -3.5

0.000 0.000 O2 0.38

1235.352 1235.352 DY3 -2.9

0.000 0.000 O3 -0.5

164.135 823.568 O`3 0.4

823.568 164.135 O4 2.4

D

-0.002040649 -0.002040649DY2 -0.022814458"

-0.002495985 -0.002495985O2 -0.026898822RAD-0.008651592 -0.008651592DY3 -0.092356608"

-0.00310214 -0.00310214O3 -0.03916253RAD

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0.005135282 0.003921053 O`3 0.04553015RAD

0.003921053 0.005135282 O4 0.0495914RAD


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K#D $%&'

.3 9.23

21 20

-. -4.2

-9 -9.4

K#D $%&'

4.3 .8

9.35 8.9

-4.3 -1.4

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K#D $%&'

1.4 -1.5

0.4 0.8

-1.4 -1.5

2.4 4.8

$UERZAS E)TERNAS

$E* $-$E*

0 1.5 DY1 -1.5

0 -0.3 O1 0.3

0 3.5 DY2 -3.5

0 -0.38 O2 0.38

0 2.9 DY3 -2.9

0 0.5 O3 -0.50 -0.4 O`3 0.4

2 2.1 DY4 -0.1

3 0.6 O4 2.4


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D K#D $=K#D+$E*

0 .31556625 9.231556625

0 20.5633494 20.1933494

-0.022814458 -3.431556625 0.06844335

-0.026898822 0.38 9.65894E-015

-0.092356608 -2.9 -6.261E-014

-0.03916253 -0.5 1.42109E-0140.04553015 0.4 -2.260E-014

0 -1.4 0.

0.0495914 2.4 3


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,+$E*=(+


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DATOS GENERALES BARRA 1 MATRIZ DE RIGIDEZ DE PORTICOS E

AREA[M^2] A= 0.105

INERCIA [M^4] I= 0.001071875


LONGITUD [M] L= 1.5

COSENO A= 1

SENO A= 0

M= 3615.7916666667

N= 48.9795918367

O= 0

P= 0

Q= 2.6666666667

R= 2

DY1 O1 DY2

9642.111 7231.583 -9642.111

BARRA 1-2 K12= 7231.583 7231.583 -7231.583

-9642.111 -7231.583 9642.111

7231.583 3615.792 -7231.583


AREA[M^2] A= 0.105

INERCIA [M^4] I= 0.001071875


LONGITUD [M] L= 2

COSENO A= 1

SENO A= 0

M= 2711.84375

N= 48.9795918367

O= 0

P= 0

Q= 1.5

R= 1.5

DY2 O`2 DY3

4067.766 4067.766 -4067.766

BARRA 2-3 K2-3= 4067.766 5423.688 -4067.766

-4067.766 -4067.766 4067.766

4067.766 2711.844 -4067.766


AREA[M^2] A= 0.0625

INERCIA [M^4] I= 0.0003255208


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LONGITUD [M] L= 2

COSENO A= 1

SENO A= 0

M= 823.5677083333

N= 96

O= 0

P= 0

Q= 1.5

R= 1.5

DY3 O3 DY4

1235.352 1235.352 -1235.352

BARRA 3-4 K3-4= 1235.352 1647.135 -1235.352

-1235.352 -1235.352 1235.352

1235.352 823.568 -1235.352

ENSAMBLADA DE LA MATRIZDY1 O1 DY2 O2

9642.111 231.583 -9642.111 231.583

231.583 231.583 -231.583 3615.92

-9642.111 -231.583 1309.8 -231.583

K= 231.583 3615.92 -231.583 231.583

0 0 406.66 0.000

0 0 -406.66 0.0000 0 406.66 0

0 0 0 0

0 0 0 0

DES*LAZAMIENT INICIAL

0 DY1

0 O1

0 DY2 D= 0 O2 $/=

0 O`2

0 DY3

0 O3

-0.005 DY4

0 O4

MATRIZ REDUCIDA

DY2 O2 O`2 1309.8 -231.583 406.66

-231.583 231.583 0.000


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Kred= 406.66 0.000 5423.688

406.66 0.000 211.844

0 0 0

0.0003259 0.0003259 -0.0002108606

0.0003259 0.0005160082 -0.0002108606

K-1= -0.0002108606 -0.0002108606 0.000349228

-0.00014486 -0.00014486 -1.3413E-005

.243383E-005 .243383E-005 6.06836E-006


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COORDENADAS GLOBALES

O2 D EP

7231.583 DY1 0 2.625

3615.792 O1 0 -0.65625

-7231.583 DY2 -0.0016134515 4.625

7231.583 O2 -0.0017041993 0.65625


O3 D EP

4067.766 DY2 -0.0016134515 4.625

2711.844 O`2 0.0015176763 -1

-4067.766 DY3 0 2

5423.688 O3 -0.0002464225 1


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O4 D EP

1235.352 DY3 0 2

823.568 O3 -0.0002464225 1

-1235.352 DY4 -0.005 0

1647.135 O4 -0.0036267887 0

O`2 DY3 O3 DY4 O4

0 0 0 0 0 DY1

0 0 0 0 0 O1

406.66 -406.66 406.66 0 0 DY2

0.000 0.000 0 0 0 O2

5423.688 -406.66 211.844 0.000 0.000 O`2

-406.66 5303.11 -2832.414 -1235.352 1235.352 DY3211.844 -2832.414 00.823 -1235.352 823.568 O3

0.000 -1235.352 -1235.352 1235.352 -1235.352 DY4

0.000 1235.352 823.568 -1235.352 164.135 O4

0 0

0 0

0 00 $= 0

0 0

6.1658125 0

6.1658125 0

-6.1658125 0

6.1658125 0

O3 O4$-$E*-$/ d

406.66 0 DY2 -4.625 -0.0016135

0.000 0 O2 -0.65625 -0.001042


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211.844 0 O`2 1 0.0015168

00.823 823.568 O3 -.165813 -0.0002464

823.568 164.135 O4 -6.165813 -0.0036268

-0.00014486 .24338E-005

-0.00014486 .24338E-005

-1.3413E-005 6.0684E-006

0.0002441288 -0.000122064

-0.0001220644 0.00066814


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K#D $%&'

3.23 5.86

5.51 4.85

-3.2 1.39

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K#D $%&'

-1.4 3.23

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1.39 3.39

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K#D $%&'

1.39 3.39

2.8 3.8

-1.4 -1.4

((( (((

$UERZAS E)TERNAS

$E* $-$E*-$/

0 2.625 DY1 -2.625

0 -0.65625 O1 0.65625

0 4.625 DY2 -4.625

0 0.65625 O2 -0.65625

0 -1 O`2 1

0 2 DY3 -8.1658130 1 O3 -.165813

0 0 DY4 6.165813

0 0 O4 -6.165813

$-$E*-$/

-2.625

0.65625

-4.625-0.65625

1

-8.1658

-.1658

6.1658

-6.1658


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d d+D Kd+D,

DY1 0 0 3.23301934

O1 0 0 5.50596601

DY2 -0.001613452 -0.001613452 -4.625

O2 -0.00104199 -0.00104199 -0.65625

O`2 0.0015166 0.0015166 1

DY3 0 0 2.839604533O3 -0.000246423 -0.000246423 -1

DY4 0 -0.005 -1.3919802266

O4 -0.00362689 -0.00362689 -8.8818E-016


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$=Kd+D,+$E*

5.8580193

4.84952966

0

0

0

4.839604530

-1.39198022

-8.8818E-016


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Documents

EJERCICIO 2-3 VIGAS.xlsx