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MATRICES DE RIGIDEZ

Columnas

Barra 1 2 E= ### I= 0.001 A= 0.09

x12 253.125 0 -506.3 -253 0 -506 u1

y12 0 45000 0 0 -45000 0 v1

m12 = -506.25 0 1350 506.3 0 675 θ1 +

x21 -253.125 0 506.25 253.1 0 506.3 u2

y21 0 -45000 0 0 45000 0 v2

m21 -506.25 0 675 506.3 0 1350 θ2

Barra 2 3 E= ### I= 0.001 A= 0.09

x23 253.125 0 -506.3 -253 0 -506 u2y23 0 45000 0 0 -45000 0 v2

m23 = -506.25 0 1350 506.3 0 675 θ2 +

x32 -253.125 0 506.25 253.1 0 506.3 u3

y32 0 -45000 0 0 45000 0 v3

m32 -506.25 0 675 506.3 0 1350 θ3

Barra 3 4 E= ### I= 0.001 A= 0.09

x34 253.125 0 -506.3 -253 0 -506 u3

y34 0 45000 0 0 -45000 0 v3

m34 = -506.25 0 1350 506.3 0 675 θ3 +

x43 -253.125 0 506.25 253.1 0 506.3 u4

y43 0 -45000 0 0 45000 0 v4

m43 -506.25 0 675 506.3 0 1350 θ4

Barra 5 6 E= ### I= 0.001 A= 0.09

x56 253.125 0 -506.3 -253 0 -506 u5

y56 0 45000 0 0 -45000 0 v5

m56 = -506.25 0 1350 506.3 0 675 θ5 +

x65 -253.125 0 506.25 253.1 0 506.3 u6

y65 0 -45000 0 0 45000 0 v6

m65 -506.25 0 675 506.3 0 1350 θ6

Barra 6 7 E= ### I= 0.001 A= 0.09

x67 253.125 0 -506.3 -253 0 -506 u6

y67 0 45000 0 0 -45000 0 v6

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m67 = -506.25 0 1350 506.3 0 675 θ6 +

x76 -253.125 0 506.25 253.1 0 506.3 u7

y76 0 -45000 0 0 45000 0 v7

m76 -506.25 0 675 506.3 0 1350 θ7

Barra 7 E= ### I= 0.001 A= 0.09

x7 253.125 0 -506.3 -253 0 -506 u7

y7 0 45000 0 0 -45000 0 v7

m7 = -506.25 0 1350 506.3 0 675 θ7 +

x7 -253.125 0 506.25 253.1 0 506.3 u

y7 0 -45000 0 0 45000 0 v

m7 -506.25 0 675 506.3 0 1350 θ

Barra 9 10 E= ### I= 0.001 A= 0.09

x910 253.125 0 -506.3 -253 0 -506 u9y910 0 45000 0 0 -45000 0 v9

m910 = -506.25 0 1350 506.3 0 675 θ9 +

x109 -253.125 0 506.25 253.1 0 506.3 u10

y109 0 -45000 0 0 45000 0 v10

m109 -506.25 0 675 506.3 0 1350 θ10

Barra 10 11 E= ### I= 0.001 A= 0.09

x1011 253.125 0 -506.3 -253 0 -506 u10

y1011 0 45000 0 0 -45000 0 v10

m1011 = -506.25 0 1350 506.3 0 675 θ10 +

x1110 -253.125 0 506.25 253.1 0 506.3 u11

y1110 0 -45000 0 0 45000 0 v11

m1110 -506.25 0 675 506.3 0 1350 θ11

Barra 11 12 E= ### I= 0.001 A= 0.09

x1112 253.125 0 -506.3 -253 0 -506 u11

y1112 0 45000 0 0 -45000 0 v11

m1112 = -506.25 0 1350 506.3 0 675 θ11 +

x1211 -253.125 0 506.25 253.1 0 506.3 u12

y1211 0 -45000 0 0 45000 0 v12

m1211 -506.25 0 675 506.3 0 1350 θ12

!"as

Barra 2 6 E= ### I= 0.005 A= 0.1

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x26 120000 0 0 ### 0 0 u2

y26 0 400 7200 0 -400 7200 v2

m26 = 0 7200 14400 0 -7200 7200 θ2 +

x62 -120000 0 0 ### 0 0 u6

y62 0 -400 -7200 0 400 -7200 v6

m62 0 7200 7200 0 -7200 14400 θ6

Barra 3 7 E= ### I= 0.005 A= 0.1

x37 120000 0 0 ### 0 0 u3

y37 0 400 7200 0 -400 7200 v3

m37 = 0 7200 14400 0 -7200 7200 θ3 +

x73 -120000 0 0 ### 0 0 u7

y73 0 -400 -7200 0 400 -7200 v7

m73 0 7200 7200 0 -7200 14400 θ7

Barra 4 E= ### I= 0.005 A= 0.1

x4 120000 0 0 ### 0 0 u4

y4 0 400 7200 0 -400 7200 v4

m4 = 0 7200 14400 0 -7200 7200 θ4 +

x4 -120000 0 0 ### 0 0 u

y4 0 -400 -7200 0 400 -7200 v

m4 0 7200 7200 0 -7200 14400 θ

Barra 6 10 E= ### I= 0.005 A= 0.1

x610 90000 0 0 ### 0 0 u6

y610 0 2025 4050 0 -2025 4050 v6

m610 = 0 4050 1000 0 -4050 5400 θ6 +

x106 -90000 0 0 90000 0 0 u10

y106 0 -2025 -4050 0 2025 -4050 v10

m106 0 4050 5400 0 -4050 1000 θ10

Barra 7 11 E= ### I= 0.005 A= 0.1

x711 90000 0 0 ### 0 0 u7

y711 0 2025 4050 0 -2025 4050 v7

m711 = 0 4050 1000 0 -4050 5400 θ7 +

x117 -90000 0 0 90000 0 0 u11

y117 0 -2025 -4050 0 2025 -4050 v11

m117 0 4050 5400 0 -4050 1000 θ11

Barra 12 E= ### I= 0.005 A= 0.1

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x12 90000 0 0 ### 0 0 u

y12 0 2025 4050 0 -2025 4050 v

m12 = 0 4050 1000 0 -4050 5400 θ +

x12 -90000 0 0 90000 0 0 u12

y12 0 -2025 -4050 0 2025 -4050 v12

m12 0 4050 5400 0 -4050 1000 θ12

2 3 4

$2 120506.3 0 0 -253 0 -506

 %2 0 9400 7200 0 -45000 0

&2 0 7200 17100 506.3 0 675

$3

 %3

&3

$4

 %4&4

$6

 %6

&6

$7 ### 0 0

 %7 0 -400 -7200

&7 0 7200 7200

$

 %

&

$10

 %10

&10

$11

 %11

&11

$12

 %12

&12

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EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

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EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1350 AE= ### '= 4

EI= 1000 AE= ### '= 3

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0

7.5

3.75

0

7.5

-3.75

EI= 1000 AE= ### '= 3

0

7.5

3.75

0

7.5

-3.75

EI= 1000 AE= ### '= 3

0

7.5

3.75

0

7.5

-3.75

EI= 1000 AE= ### '= 4

0

10

6.667

0

10

-6.667

EI= 1000 AE= ### '= 4

0

10

6.667

0

10

-6.667

EI= 1000 AE= ### '= 4

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0

10

6.667

0

10

-6.667

6 7

-120000 0 0

0 -400 7200

0 -7200 7200

-253.125 0 506.3 210506.25 0 0 -253 0 -506

0 ### 0 0 9625 -3150 0 ### 0

-506.25 0 675 0 -3150 27900 506.3 0 675

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10 11 12

-90000 0 0

0 -2025 4050

0 -4050 5400