viga en excel
DESCRIPTION
Viga metodo matricialTRANSCRIPT
![Page 1: Viga En excel](https://reader035.vdocuments.pub/reader035/viewer/2022062217/5695d3041a28ab9b029c8c50/html5/thumbnails/1.jpg)
E I L E*I1 1 1 1
1 k1=11
Elemento 1Ny Nz Fy Fz
Elemento 2Ny Nz Fy Fz k2=
Elemento 3Ny Nz Fy Fz k3=
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Elemento 4Ny Nz Fy Fz k4=
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Ny Nz Fy Fz0 0 0 0
12 6 -12 6 0 dNy6 4 -6 2 0 dNz
-12 -6 12 -6 0 dFy6 2 -6 4 0 dFz k1=
Ny Nz Fy Fz0 0 0 0
12 6 -12 6 0 dNy6 4 -6 2 0 dNz
-12 -6 12 -6 0 dFy6 2 -6 4 0 dFz k2=
Ny Nz Fy Fz0 0 0 0
12 6 -12 6 0 dNy6 4 -6 2 0 dNz
-12 -6 12 -6 0 dFy6 2 -6 4 0 dFz k3=
Ny Nz Fy Fz0 0 0 0
12 6 -12 6 0 dNy
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6 4 -6 2 0 dNz-12 -6 12 -6 0 dFy6 2 -6 4 0 dFz k4=
K=
Q
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1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
1 2 3 4 5 6 7 8
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1 2 3 4 5 6 7 8
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
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12345678
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1
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2345678
12345678
D
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x2 x1 λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k1= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k2= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k3= 0.000
0.000Nx Ny Fx Fy 0.000
∆x
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x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k4= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k5= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k6= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
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λx λy L Nx0.00 0.00 1.00 0
0.000k7= 0.000
0.000Nx Ny Fx Fy 0.000
x2 x1 ∆x λx y2 y11 1 0 0 1 1
λx λy L Nx0.00 0.00 1.00 0
0.000k8= 0.000
0.000Nx Ny Fx Fy 0.000
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∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k1=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k2=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k3=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
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∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k4=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k5=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
∆y λy0 0
1
Ny Fx Fy0 0 0
0.000 0.000 0.000 0 Nx0.000 0.000 0.000 0 Ny k6=0.000 0.000 0.000 0 Fx0.000 0.000 0.000 0 Fy
∆y λy0 0
1
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1
Ny Fx Fy 0.0000 0 0 0.000
0.000 0.000 0.000 0 Nx 0.0000.000 0.000 0.000 0 Ny k7= 0.0000.000 0.000 0.000 0 Fx 0.0000.000 0.000 0.000 0 Fy 0.000
0.0000.000
∆y λy0 0
1
Ny Fx Fy 0.0000 0 0 0.000
0.000 0.000 0.000 0 Nx 0.0000.000 0.000 0.000 0 Ny k8= 0.0000.000 0.000 0.000 0 Fx 0.0000.000 0.000 0.000 0 Fy 0.000
0.0000.000
1
K=
Q0.0000.000
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0.0000.0000.0000.0000.0000.000
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2 3 4 5 6 7 8
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2 3 4 5 6 7 8
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2 3 4 5 6 7 8
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2 3 4 5 6 7 8
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2 3 4 5 6 7 8
12345678
2 3 4 5 6 7 8
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2 3 4 5 6 7 8
0.000 0.000 0.000 0.000 0.000 0.000 0.000 1
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2
0.000 0.000 0.000 0.000 0.000 0.000 0.000 3
0.000 0.000 0.000 0.000 0.000 0.000 0.000 4
0.000 0.000 0.000 0.000 0.000 0.000 0.000 5
0.000 0.000 0.000 0.000 0.000 0.000 0.000 6
0.000 0.000 0.000 0.000 0.000 0.000 0.000 7
0.000 0.000 0.000 0.000 0.000 0.000 0.000 8
2 3 4 5 6 7 8
0.000 0.000 0.000 0.000 0.000 0.000 0.000 1
0.000 0.000 0.000 0.000 0.000 0.000 0.000 2
0.000 0.000 0.000 0.000 0.000 0.000 0.000 3
0.000 0.000 0.000 0.000 0.000 0.000 0.000 4
0.000 0.000 0.000 0.000 0.000 0.000 0.000 5
0.000 0.000 0.000 0.000 0.000 0.000 0.000 6
0.000 0.000 0.000 0.000 0.000 0.000 0.000 7
0.000 0.000 0.000 0.000 0.000 0.000 0.000 8
2 3 4 5 6 7 8
12345678
D0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000
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0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.000
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fuerza interna
q= 0.00 0.00 0.00 0.00
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x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
∆x
∆x
∆x
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Nx Ny Nz Fx Fy Fz
x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
∆x
∆x
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x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
x2 x1 λx y2 y11 1 0 0 1 1
λx λy L0.00 0.00 1.00
Nx Ny Nz Fx Fy Fz
∆x
∆x
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∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k1= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k2= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
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0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k3= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k4= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k5= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
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∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k6= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
∆y λy A E A*E I0 0 1 1 1 1
Nx Ny Nz Fx Fy Fz0 0 0 0 0 0
0.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 0
k7= 0.000 0.000 4.000 0.000 0.000 2.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 0.000 0.000 0.000 0.000 00.000 0.000 2.000 0.000 0.000 4.000 0
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E*I1
1 2 3 4 5
NxNzNy k1=FxFyFz
E*I1
1 2 3 4 5
NxNzNy k2=FxFyFz
E*I1
1 2 3 4 5
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NxNzNy k3=FxFyFz
E*I1
1 2 3 4 5
NxNzNy k4=FxFyFz
E*I1
1 2 3 4 5
NxNzNy k5=FxFyFz
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E*I1
1 2 3 4 5
NxNzNy k6=FxFyFz
E*I1
1 2 3 4 5
NxNzNy k7=FxFyFz
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6 7 8 9 10 11 12
123456789
101112
6 7 8 9 10 11 12
123456789
101112
6 7 8 9 10 11 12
1
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23456789
101112
6 7 8 9 10 11 12
123456789
101112
6 7 8 9 10 11 12
12345678
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9101112
6 7 8 9 10 11 12
123456789
101112
6 7 8 9 10 11 12
123456789
101112
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x2 x1 λx y2 y14 0 4 4 3 0
λx λy L Nx4.00 3.00 1.00 0
128000.000k1= 96000.000
-128000.000Nx Ny Fx Fy -96000.000
∆x
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∆y λy A E A*E3 3 8 1000 8000
1
Ny Fx Fy0 0 0
96000.000 -128000.000 -96000.000 0 Nx72000.000 -96000.000 -72000.000 0 Ny k1=-96000.000 128000.000 96000.000 0 Fx-72000.000 96000.000 72000.000 0 Fy
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2 3 4 5 6 7 8
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fuerza interna
q= -4.00 -3.00 4.00 3.00
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