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Matriz de riguideces
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Elemento 1 5 6 3 4
0 X Y X Y
4 1/4 0 - 1/4 0
0 0 0 0 0
0 - 1/4 0 1/4 0
1 0 0 0 0
0
E 1
A 1
L 4
Elemento 2 5 6 1 2
0 X Y X Y
0 0 0 0 0
0 0 1/3 0 - 1/3
3 0 0 0 0
0 0 - 1/3 0 1/3
1
E 1
A 1
L 3
Elemento 3 1 2 3 4
0 X Y X Y
4 16/125 - 12/125 - 16/125 12/125
3 - 12/125 9/125 12/125 - 9/125
0 - 16/125 12/125 16/125 - 12/125
4/5 12/125 - 9/125 - 12/125 9/125
- 3/5
E 1
A 1
L 5
X1
X2
Y1
Y2 K1=
Cosθx
Cosθy
X1
X2
Y1
Y2 K2=
Cosθx
Cosθy
X1
X2
Y1 K3=
Y2
Cosθx
Cosθy
Emsamble1 2 3 4
5 16/125 - 12/125 - 16/1256
K=EA- 12/125 152/375 12/125
3 - 16/125 12/125 189/5004 12/125 - 9/125 - 12/125
0 0 - 1/4 0 - 1/3 0
1/EA13 1/2 2 1/4 4 2 1/4 3 0
5 4 0 4 6
1
2
EA
12/125 - 9/125 - 12/1250 0 - 1/4 0 - 1/3 0
1
2
3
4
Ext. 1
Ext. 2
K11
δ1
δ2
Ext. 1δ3
Ext. 2K22
R1
R2
R3
Ext. 1
Ext. 2
5 6123456
F
5
= 1/EA67.5
0 11.25
0 20
δ
1/EA
67.5
=
3.75
11.25 -5
20 -3.75
Elemento 1
0
0 10 11 120 X Y θ
400 0.0000001875 0.0000001875 -0.00003750 0 3.125 01 -0.0000375 0 0.01
25 0.0000001875 -3.125 0.000037550 -3.125 -3.125 0
E 1 -0.0000375 0 0.0051250
L 400
I 1
Elemento 2
0
0 1 2 30 X Y θ
600 5.5555556E-08 5.555556E-08 -1.666667E-050 0 4.0833333333 01 -1.666667E-05 0 0.0066666667
35 5.5555556E-08 -4.083333333 1.6666667E-0570 -4.0833333333 -4.083333333 0
E 1 -1.666667E-05 0 0.00333333332450
L 600
I 1
Elemento 3
0
0 4 5 60 X Y θ
600 1.3416407E-07 1.341641E-07 -3E-050 0 5.4783664897 01 -3E-05 0 0.0089442718
35 1.3416407E-07 -5.47836649 3E-0570 -5.4783664897 -5.47836649 0
E 1 -3E-05 0 0.00447213592450
L 447.2136
I 1
X1
X2
Y1
Y2
Cosθx
Cosθy
b(cm)
h(cm)
A(cm2
)
X1
X2
Y1
Y2
Cosθx
Cosθy
b(cm)
h(cm)
A(cm2
)
X1
X2
Y1
Y2
Cosθx
Cosθy
b(cm)
h(cm)
A(cm2
)
1 2 3X Y θ
0.0000001875 -3.125 -0.0000375 X 10-3.125 -3.125 0 Y 11
-0.0000375 0 0.005 θ 120.0000001875 3.125 0.0000375 X 1
0 3.125 0 Y 20.0000375 0 0.01 θ 3
4 5 6X Y θ
5.5555556E-08 -4.083333333 -1.666667E-05 X 1-4.0833333333 -4.083333333 0 Y 2-1.666667E-05 0 0.0033333333 θ 35.5555556E-08 4.0833333333 1.6666667E-05 X 4
0 4.0833333333 0 Y 51.6666667E-05 0 0.0066666667 θ 6
7 8 9X Y θ
1.3416407E-07 -5.47836649 -3E-05 X 4-5.4783664897 -5.47836649 0 Y 5
-3E-05 0 0.0044721359 θ 61.3416407E-07 5.4783664897 3E-05 X 7
0 5.4783664897 0 Y 83E-05 0 0.0089442718 θ 9
