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MATRICES DE RIGIDEZ

Columnas

Barra 1 2 E= ### I= 0.005 A= 0.09

x12 19531.25 0 -39063 ### 0 ### u1

y12 0 450000 0 0 ### 0 v1

m12 = -39062.5 0 ### 39063 0 52083 1 +

x21 -19531.25 0 39063 19531 0 39063 u2

y21 0 -450000 0 0 450000 0 v2

m21 -39062.5 0 52083 39063 0 ### 2

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 65 2 +

x32 -253.125 0 506.25 253.1 0 506.3 u3

y32 0 -45000 0 0 45000 0 v3

m32 -506.25 0 65 506.3 0 1350 3

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 65 3 +

x43 -253.125 0 506.25 253.1 0 506.3 u4

y43 0 -45000 0 0 45000 0 v4

m43 -506.25 0 65 506.3 0 1350 4

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 65 5 +

x65 -253.125 0 506.25 253.1 0 506.3 u6

y65 0 -45000 0 0 45000 0 v6

m65 -506.25 0 65 506.3 0 1350 6

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

x6 253.125 0 -506.3 -253 0 -506 u6

y6 0 45000 0 0 -45000 0 v6

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m6 = -506.25 0 1350 506.3 0 65 6 +

x6 -253.125 0 506.25 253.1 0 506.3 u

y6 0 -45000 0 0 45000 0 v

m6 -506.25 0 65 506.3 0 1350

Barra 8 E= ### I= 0.001 A= 0.09

x8 253.125 0 -506.3 -253 0 -506 u

y8 0 45000 0 0 -45000 0 v

m8 = -506.25 0 1350 506.3 0 65 +

x8 -253.125 0 506.25 253.1 0 506.3 u8

y8 0 -45000 0 0 45000 0 v8

m8 -506.25 0 65 506.3 0 1350 8

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 65 9 +

x109 -253.125 0 506.25 253.1 0 506.3 u10

y109 0 -45000 0 0 45000 0 v10

m109 -506.25 0 65 506.3 0 1350 10

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 65 10 +

x1110 -253.125 0 506.25 253.1 0 506.3 u11

y1110 0 -45000 0 0 45000 0 v11

m1110 -506.25 0 65 506.3 0 1350 11

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 65 11 +

x1211 -253.125 0 506.25 253.1 0 506.3 u12

y1211 0 -45000 0 0 45000 0 v12

m1211 -506.25 0 65 506.3 0 1350 12

!"as

Barra 2 6 E= ### I= 0.005 A= 0.18

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x26 120000 0 0 ### 0 0 u2

y26 0 4800 200 0 -4800 200 v2

m26 = 0 200 14400 0 -200 200 2 +

x62 -120000 0 0 ### 0 0 u6

y62 0 -4800 -200 0 4800 -200 v6

m62 0 200 200 0 -200 14400 6

Barra 3 E= ### I= 0.005 A= 0.18

x3 120000 0 0 ### 0 0 u3

y3 0 4800 200 0 -4800 200 v3

m3 = 0 200 14400 0 -200 200 3 +

x3 -120000 0 0 ### 0 0 u

y3 0 -4800 -200 0 4800 -200 v

m3 0 200 200 0 -200 14400

Barra 4 8 E= ### I= 0.005 A= 0.18

x48 120000 0 0 ### 0 0 u4

y48 0 4800 200 0 -4800 200 v4

m48 = 0 200 14400 0 -200 200 4 +

x84 -120000 0 0 ### 0 0 u8

y84 0 -4800 -200 0 4800 -200 v8

m84 0 200 200 0 -200 14400 8

Barra 6 10 E= ### I= 0.005 A= 0.18

x610 90000 0 0 ### 0 0 u6

y610 0 2025 4050 0 -2025 4050 v6

m610 = 0 4050 10800 0 -4050 5400 6 +

x106 -90000 0 0 90000 0 0 u10

y106 0 -2025 -4050 0 2025 -4050 v10

m106 0 4050 5400 0 -4050 10800 10

Barra 11 E= ### I= 0.005 A= 0.18

x11 90000 0 0 ### 0 0 u

y11 0 2025 4050 0 -2025 4050 v

m11 = 0 4050 10800 0 -4050 5400 +

x11 -90000 0 0 90000 0 0 u11

y11 0 -2025 -4050 0 2025 -4050 v11

m11 0 4050 5400 0 -4050 10800 11

Barra 8 12 E= ### I= 0.005 A= 0.18

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x812 90000 0 0 ### 0 0 u8

y812 0 2025 4050 0 -2025 4050 v8

m812 = 0 4050 10800 0 -4050 5400 8 +

x128 -90000 0 0 90000 0 0 u12

y128 0 -2025 -4050 0 2025 -4050 v12

m128 0 4050 5400 0 -4050 10800 12

2 3 4

$2 13984.4 0 38556 -253 0 -506

%2 0 499800 200 0 -45000 0

&2 38556.25 200 ### 506.3 0 65

$3

%3

&3

$4

%4&4

$6

%6

&6

$ ### 0 0

% 0 -4800 -200

& 0 200 200

$8

%8

&8

$10

%10

&10

$11

%11

&11

$12

%12

&12

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EI= ### 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= 10800 AE= ### '= 3

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0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 3

0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 3

0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 4

0

10

6.66

0

10

-6.66

EI= 10800 AE= ### '= 4

0

10

6.66

0

10

-6.66

EI= 10800 AE= ### '= 4

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0

10

6.66

0

10

-6.66

6 8

-120000 0 0

0 -4800 200

0 -200 200

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

0 ### 0 0 96825 -3150 0 ### 0

-506.25 0 65 0 -3150 2900 506.3 0 65

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10 11 12

-90000 0 0

0 -2025 4050

0 -4050 5400

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MATRICES DE RIGIDEZ

Columnas

Barra 1 2 E= ### I= 0.005 A= 0.09

x12 19531.25 0 -39063 ### 0 ### u1

y12 0 450000 0 0 ### 0 v1

m12 = -39062.5 0 ### 39063 0 52083 1 +

x21 -19531.25 0 39063 19531 0 39063 u2

y21 0 -450000 0 0 450000 0 v2

m21 -39062.5 0 52083 39063 0 ### 2

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 65 2 +

x32 -253.125 0 506.25 253.1 0 506.3 u3

y32 0 -45000 0 0 45000 0 v3

m32 -506.25 0 65 506.3 0 1350 3

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 65 3 +

x43 -253.125 0 506.25 253.1 0 506.3 u4

y43 0 -45000 0 0 45000 0 v4

m43 -506.25 0 65 506.3 0 1350 4

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 65 5 +

x65 -253.125 0 506.25 253.1 0 506.3 u6

y65 0 -45000 0 0 45000 0 v6

m65 -506.25 0 65 506.3 0 1350 6

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

x6 253.125 0 -506.3 -253 0 -506 u6

y6 0 45000 0 0 -45000 0 v6

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m6 = -506.25 0 1350 506.3 0 65 6 +

x6 -253.125 0 506.25 253.1 0 506.3 u

y6 0 -45000 0 0 45000 0 v

m6 -506.25 0 65 506.3 0 1350

Barra 8 E= ### I= 0.001 A= 0.09

x8 253.125 0 -506.3 -253 0 -506 u

y8 0 45000 0 0 -45000 0 v

m8 = -506.25 0 1350 506.3 0 65 +

x8 -253.125 0 506.25 253.1 0 506.3 u8

y8 0 -45000 0 0 45000 0 v8

m8 -506.25 0 65 506.3 0 1350 8

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 65 9 +

x109 -253.125 0 506.25 253.1 0 506.3 u10

y109 0 -45000 0 0 45000 0 v10

m109 -506.25 0 65 506.3 0 1350 10

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 65 10 +

x1110 -253.125 0 506.25 253.1 0 506.3 u11

y1110 0 -45000 0 0 45000 0 v11

m1110 -506.25 0 65 506.3 0 1350 11

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 65 11 +

x1211 -253.125 0 506.25 253.1 0 506.3 u12

y1211 0 -45000 0 0 45000 0 v12

m1211 -506.25 0 65 506.3 0 1350 12

!"as

Barra 2 6 E= ### I= 0.005 A= 0.18

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x26 120000 0 0 ### 0 0 u2

y26 0 4800 200 0 -4800 200 v2

m26 = 0 200 14400 0 -200 200 2 +

x62 -120000 0 0 ### 0 0 u6

y62 0 -4800 -200 0 4800 -200 v6

m62 0 200 200 0 -200 14400 6

Barra 3 E= ### I= 0.005 A= 0.18

x3 120000 0 0 ### 0 0 u3

y3 0 4800 200 0 -4800 200 v3

m3 = 0 200 14400 0 -200 200 3 +

x3 -120000 0 0 ### 0 0 u

y3 0 -4800 -200 0 4800 -200 v

m3 0 200 200 0 -200 14400

Barra 4 8 E= ### I= 0.005 A= 0.18

x48 120000 0 0 ### 0 0 u4

y48 0 4800 200 0 -4800 200 v4

m48 = 0 200 14400 0 -200 200 4 +

x84 -120000 0 0 ### 0 0 u8

y84 0 -4800 -200 0 4800 -200 v8

m84 0 200 200 0 -200 14400 8

Barra 6 10 E= ### I= 0.005 A= 0.18

x610 90000 0 0 ### 0 0 u6

y610 0 2025 4050 0 -2025 4050 v6

m610 = 0 4050 10800 0 -4050 5400 6 +

x106 -90000 0 0 90000 0 0 u10

y106 0 -2025 -4050 0 2025 -4050 v10

m106 0 4050 5400 0 -4050 10800 10

Barra 11 E= ### I= 0.005 A= 0.18

x11 90000 0 0 ### 0 0 u

y11 0 2025 4050 0 -2025 4050 v

m11 = 0 4050 10800 0 -4050 5400 +

x11 -90000 0 0 90000 0 0 u11

y11 0 -2025 -4050 0 2025 -4050 v11

m11 0 4050 5400 0 -4050 10800 11

Barra 8 12 E= ### I= 0.005 A= 0.18

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x812 90000 0 0 ### 0 0 u8

y812 0 2025 4050 0 -2025 4050 v8

m812 = 0 4050 10800 0 -4050 5400 8 +

x128 -90000 0 0 90000 0 0 u12

y128 0 -2025 -4050 0 2025 -4050 v12

m128 0 4050 5400 0 -4050 10800 12

2 3 4

$2 13984.4 0 38556 -253 0 -506

%2 0 499800 200 0 -45000 0

&2 38556.25 200 ### 506.3 0 65

$3

%3

&3

$4

%4&4

$6

%6

&6

$ ### 0 0

% 0 -4800 -200

& 0 200 200

$8

%8

&8

$10

%10

&10

$11

%11

&11

$12

%12

&12

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EI= ### 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= 10800 AE= ### '= 3

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0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 3

0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 3

0

.5

3.5

0

.5

-3.5

EI= 10800 AE= ### '= 4

0

10

6.66

0

10

-6.66

EI= 10800 AE= ### '= 4

0

10

6.66

0

10

-6.66

EI= 10800 AE= ### '= 4

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0

10

6.66

0

10

-6.66

6 8

-120000 0 0

0 -4800 200

0 -200 200

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

0 ### 0 0 96825 -3150 0 ### 0

-506.25 0 65 0 -3150 2900 506.3 0 65

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10 11 12

-90000 0 0

0 -2025 4050

0 -4050 5400