Practica Estructura II Yanet
10
50 k 50 k 5 F E 10 11 G 15 k 6 7 1 8 9 20 k C B 3 4 A 10 10 10 10 Paso 1: Definir: Definir: Donde: N° barra Longitud EA K 1 10 10 1.00 2 10 10 1.00 3 20 10 0.50 4 20 10 0.50 5 20 10 0.50 6 42.43 10 0.24 7 42.43 10 0.24 8 22.36 10 0.45 9 22.36 10 0.45 10 22.36 10 0.45 11 22.36 10 0.45 1.00 1.00 0.50 0.50 0.50 0.24 Definir matriz de continuidad "a" Vectorees Unitarios: [] y [] [] k= EA/L
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Practica Estructura II Yanet
Transcript of Practica Estructura II Yanet
50 k 50 k
5F E
10 11G
15 k D6 7
1 28 9
20 k CB 3 4 A
10 10 10 10
Paso 1: Definir:
Definir: Donde:
N° barra Longitud EA K1 10 10 1.002 10 10 1.003 20 10 0.504 20 10 0.505 20 10 0.506 42.43 10 0.247 42.43 10 0.248 22.36 10 0.459 22.36 10 0.45
10 22.36 10 0.4511 22.36 10 0.45
K = 1.00 1.00 0.50 0.50 0.50 0.24 0.24
Definir matriz de continuidad "a"
Vectorees Unitarios:
[𝑘] y [𝑎]
[𝑘] k= EA/L
u1 = u2 = 0 u8 = 0.891 -0.45
u3 = u4 =u5 = 1 u9 = 0.890 0.45
u6 = 0.71 u10 = 0.450.71 0.89
u7 = 0.71 u11 = 0.45-0.74 -0.89
x y
Paso 2: Matriz de continuidadC D E
x y x y x0 0 0 0 00 0 0 1 01 0 0 0 0-1 0 0 0 00 0 0 0 1
a = 0 0 0 0 0.710 0 0 0 0
0.89 -0.45 0 0 0-0.89 -0.45 0.89 0.45 0
0 0 0 0 00 0 0.45 -0.89 -0.45
0 0 1 -1 00 0 0 0 00 0 0 0 00 1 0 0 00 0 0 0 1
at = 0 0 0 0 00 0 0 0 -10 0 0 0 00 0 0 0 0
1 0 0 0 00 0 0 1 0
1.00 0.00 0.00 0.00 0.000.00 1.00 0.00 0.00 0.000.00 0.00 0.50 0.00 0.000.00 0.00 0.00 0.50 0.000.00 0.00 0.00 0.00 0.50
k = 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 1.00 0.000.50 0.00 0.00 0.00 0.00
-0.50 0.00 0.00 0.00 0.00k x a = 0.00 0.00 0.00 0.00 0.50
0.00 0.00 0.00 0.00 0.170.00 0.00 0.00 0.00 0.000.40 -0.20 0.00 0.00 0.00
-0.40 -0.20 0.40 0.20 0.000.00 0.00 0.00 0.00 0.000.00 0.00 0.20 -0.40 -0.20
1.71 0.00 -0.36 -0.18 0.00-0.36 0.00 0.18 0.09 0.00-0.36 -0.18 0.45 0.00 -0.09-0.18 -0.09 0.00 1.45 0.180.00 0.00 -0.09 0.18 0.71
K = 0.00 0.00 0.18 -0.36 -0.060.00 0.00 0.00 0.00 -0.500.00 0.00 0.00 0.00 0.00
-0.36 0.18 0.00 0.00 0.000.18 -0.09 0.00 0.00 0.00
-0.22 -0.14 0.00 0.00 0.00
2.00 121.15 -59.25 0.00 -19.90
3.86 8997.57 -4549.43 2.42 -1543.593.95 4380.21 -2209.71 0.72 -749.720.00 177.50 -90.25 1.00 -30.971.33 313.64 -156.56 -0.42 -49.82
-1.33 -1482.05 747.34 0.42 253.701.33 -112.03 58.66 -0.42 22.46
-0.65 -1441.53 728.88 -0.41 247.420.05 -4129.89 2090.20 -1.22 709.920.00 182.41 -92.23 0.00 -30.972.00 238.34 -118.51 0.00 -39.80
Paso 3: F= K x u
137.841095.24
756.17-39.48236.83
u = -390.259231.499-287.52-366.37
9.81212.11
paso 4 e = k x u
9.81-39.48137.84
74.27 e 5.331
-108.93459-226.53099
-39.696639.68974.41735
-78.49031
paso 5 k x e
9.81-39.4868.9237.14
s 2.67-26.14-54.37-17.8617.86
1.99-35.32
paso 6 comprobacion f = atxs
-0.0116.08
0.00 f = -0.01
0.00-50.0036.83
-38.4615.00
0.0024.45
20
10
0.45 0.45 0.45 0.45
definimos f
Cx 0Cy 0Dx 0Dy 0Ex 0
F = Ey = -50Fx 35.36Fy -35.36Gx 15Gy 0Ax 0
E F G Ay x y x y x0 0 0 0 1 0 10 0 0 0 0 0 20 0 0 0 0 0 30 0 0 0 0 1 40 -1 0 0 0 0 5
0.71 0 0 0 0 0 60 -0.71 0.74 0 0 0.71 70 0 0 -0.89 0.45 0 80 0 0 0 0 0 90 0.45 0.89 -0.45 -0.89 0 10
0.89 0 0 0 0 0 11
0 0 0.89 -0.89 0 00 0 -0.45 0.45 0 00 0 0 0.89 0 0.450 0 0 0.45 0 -0.89
0.71 0 0 0 0 -0.450.71 0 0 0 0 0.89
0 -0.71 0 0 0.45 00 0.74 0 0 0.89 00 0 -0.89 0 -0.45 0
0 0 0.45 0 -0.89 00 0 0.71 0 0 0
0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.24 0.00 0.00 0.00 0.00 0.000.00 0.24 0.00 0.00 0.00 0.000.00 0.00 0.45 0.00 0.00 0.000.00 0.00 0.00 0.45 0.00 0.000.00 0.00 0.00 0.00 0.45 0.000.00 0.00 0.00 0.00 0.00 0.45
0.00 0.00 0.00 0.00 1.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.500.00 -0.50 0.00 0.00 0.00 0.000.17 0.00 0.00 0.00 0.00 0.000.00 -0.17 0.18 0.00 0.00 0.170.00 0.00 0.00 -0.40 0.20 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.20 0.40 -0.20 -0.40 0.000.40 0.00 0.00 0.00 0.00 0.00
0.00 0.00 0.00 -0.36 0.18 -0.500.00 0.00 0.00 0.18 -0.09 0.000.18 0.00 0.00 0.00 0.00 0.00
-0.36 0.00 0.00 0.00 0.00 0.00-0.06 -0.50 0.00 0.00 0.00 0.00
0.48 0.00 0.00 0.00 0.00 0.000.00 0.71 0.05 -0.09 -0.18 -0.120.00 0.05 0.49 -0.18 -0.36 0.130.00 -0.09 -0.18 0.45 0.00 0.000.00 -0.18 -0.36 0.00 1.45 0.000.00 0.00 0.00 -0.28 0.14 0.50
19.90 -19.90 -19.09 -57.66 0.00 2.00
1527.64 -1549.40 -1501.67 -4535.29 2.49 7.66741.65 -752.65 -729.77 -2204.02 1.26 5.87
30.97 -30.97 -29.72 -89.75 0.00 0.0052.60 -50.81 -51.31 -154.99 0.42 1.97
-248.22 254.69 246.93 745.76 -0.42 -1.97-19.67 23.47 19.96 60.24 0.42 1.97
-244.75 248.39 243.47 727.33 0.41 -1.95-701.86 712.85 691.58 2087.70 -0.75 -1.87
30.97 -30.97 -29.72 -91.72 1.00 0.0039.80 -39.80 -38.18 -115.32 0.00 4.00
