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nudo c nudo d
y x
0 0 barra 1
-0.24 0 barra 2
0 0 barra 3
0 0.8 barra 4
0.6 -0.8 barra 5
0 0.8 barra 6
0 -0.24 0
0 0 0
0.0073 0 0
0 0.0097 0
0 0 0.02
1 2
43
5
6
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0 0 0
0 0 0
0 0 0
0 -0.002328 00 0 0
0.00487872 -0.00576
-0.00576 0.02048
-4 y nudo c
3 x nudo d
inversa K 306.87 86.31
86.31 73.10
-968.56
-125.92
0
232.45
0
-100.74
-480.40
-100.74
esfuersos internos
0 barra 1
2.25barra 2
0 barra 3
-1.21 barra 4
-5.76 barra 5
-0.81 barra 6
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-4
3
haando reaacciones
nudo a nudo !
x y x
-0.97 -0.24 0.97
0 0 -0.97
0 0 0
-0.8 0.6 0
0 0 0
0 0 0
-0.97 0 0
-0.24 0 0
0.97 -0.97 0
0.24 0.24 1
0 0.97 0
0 0 1
0 0 0
0 0 0
reacciones
0.97 x nudo a
-0.73y
-2.19 x nudo !
0.54y
-2.42 x nudo c
3.70 y nudo d
0.64 x nudo e
0.48y
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0 0.6 0
0.8 -0.8 0.8
0 0 0
0 0 0
0 0 0
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0.012 0 0
0 0.012 0
0 0 0.008
0 0.0072 00.0096 -0.0096 0.0064
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nudo c nudo d nudo e
y x y x y
0.24 0 0 0 0 barra 1
0.24 0.97 0 0 0 barra 2
1 0 1 0 0 barra 3
0 0 -0.6 0 0 barra 4
0 0.8 -0.6 0 0 barra 5
0 0 0.6 -0.8 -0.6 barra 6
-0.8 0 0
0.6 0 0
0 0 0
0 0 0
0 0.8 0
-0.6 -0.6 0.6
0 0 -0.8
0 0 -0.6
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nudo 2 nudo 3
x y
0 0 barra 1
-0.6 0.8 barra 2
0 0.24 barra 3
0 -0.6 0
0 0.8 0.24
0.4 0 0
0 0.4 0
0 0 0.5
0 -0.24 0
0 0.32 0.12
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0.144 -0.192
-0.192 0.2848
4 "
1 "
68.6728395 46.2962963
# inversa 46.2962963 34.7222222
320.988
219.907
0.000
-16.6666667
52.7777778
esfuersos internos en as barras
0 barra 1
-6.67 barra 2
26.39 barra 3
4
1
haando reacciones
nudo 1 nudo 2
x y y
-1 0 0
0 0 -0.6
-0.97 -0.24 0
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-1 0 -0.97
0 0 -0.24
0 -0.6 0
0 0.8 -0.97
reacciones
-25.597 xnudo 1
-6.333 y
4 y nudo 2
-30.931 x nudo 3
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nudo 3
x
0 barra 1
0.8barra 2
-0.97 barra 3
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nudo c
x y
0.71 -0.71 barra 1
0 -1 barra 2
-0.71 -0.71 barra 3
-1 0 barra 4
-0.71 0.71 barra 5
0 1 barra 6
0.71 0.71 barra 7
1 0 barra 8
0.71 0 -0.71
-0.71 -1 -0.71
c
c
c
1
7
8
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1 0 0
0 1 0
0 0 1
0 0 0
0 0 00 0 0
0 0 0
0 0 0
0.71 0 -0.71
-0.71 -1 -0.71
4.0164 0
0 4.0164
su"one$os % a fuer&a soo de"ende de e'e x
su"one$os % a fuer&a soo de"ende de e'e y
su"one$os % a fuer&a de"ende de a$bos e'es x( y
1 0 1
0 1 1
K inversa 0.24897919 0
0 0.24897919
0.249 0 0.249
0 0.249 0.249
0.177 -0.177 0
0 -0.249 -0.249
-0.177 -0.177 -0.354
-0.249 0 -0.249
-0.177 0.177 0
0 0.249 0.249
0.177 0.177 0.354
0.249 0 0.249
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0.177 -0.177 0
0 -0.249 -0.24897919
-0.177 -0.177 -0.35355044
-0.249 0 -0.24897919
-0.177 0.177 00 0.249 0.24897919
0.177 0.177 0.35355044
0.249 0 0.24897919
1 0
0 1
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u1)
u2)
u3)
u4)
-1 -0.71 0 0.71 1
0 0.71 1 0.71 0
c
c
c
c
c
2
5
6
3
4
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0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
1 0 0 0 0
0 1 0 0 00 0 1 0 0
0 0 0 1 0
0 0 0 0 1
-1 -0.71 0 0.71 1
0 0.71 1 0.71 0
* sen +
0.249
0.249 * sen +
* cos +
* cos +nudo c
des"a&a$iento
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observa$os % a fuer&a es a su$a de as co$"onentes en cada e'
barra1 0.177 -0.177 * sen +
barra2 0.000 -0.249 * sen +
barra3 -0.177 -0.177 * sen +
barra4 -0.249 0.000 * sen +
barra5 -0.177 0.177 * sen +barra6 0.000 0.249 * sen +
barra7 0.177 0.177 * sen +
barra8 0.249 0.000 * sen +
* cos +
* cos +
* cos +
* cos +
* cos +* cos +
* cos +
* cos +
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vectores unitarios
u5) 0.71
-0.71
u6) 0
1
u7) 0.71
0.71
u8) 1
0
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a fuer&a %uedar,a dada de a siuiente $anera
esfuer&o en a barra ec