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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