ANALISIS 2
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Transcript of ANALISIS 2
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Nudo 10 y 18
CARGAS MUERTAS
1 Peso Propio: = 18 kg/m2
2 Cobertura: = 7.2537 kg/m2
CARGAS VIVAS
1 Sobrecarga: = 30 kg/m2
Nudo 11,12,13,14,15,16,17
CARGAS MUERTAS
1 Peso Propio: = 18 kg/m2
2 Cobertura: = 7.2537 kg/m2
CARGAS VIVAS
1 Sobrecarga: = 30 kg/m2
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165.7276 KgArea Trib.
x 6.5625 m2 = 118.13 kg
x 6.5625 m2 = 47.6026 kg
196.875 Kg
x 6.5625 m2 = 196.875 kg
331.4552 Kg
x 13.125 m2 236.25 kg
x 13.125 m2 = 95.2052 kg
393.75 Kg
x 13.125 m2 = 393.75 kg
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24.3 3.357.2537 kg/m2 ethernit
1,2,3,4,6 combinacionesE=0
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W1 W2 W3Blvto.(presionSotavento Blvto(succionBlvto(presion)blvto(succion
10 81.4409 0.0000 190.0287 0 190.028711 162.8818 0.0000 380.0574 0 380.057412 162.8818 0.0000 380.0574 0 380.057413 162.8818 0.0000 380.0574 0 380.057414 162.8818 325.7635 380.0574 162.8818 380.057415 0.0000 325.7635 0.0000 162.8818 0.000016 0.0000 325.7635 0.0000 162.8818 0.000017 0.0000 325.7635 0.0000 162.8818 0.000018 0.0000 162.8818 0.0000 81.4409 0.0000
1(vert) 217.1757 0 0.0000 0 0.00009(vert) 0.0000 162.8818 0 217.175677 0
Si tienes presion y succion presion - succion para E o viceversa si sale negativo de succion
W1 W2 W3 W41 0 0 0 02 0 0 0 03 0 0 0 04 0 0 0 05 0 0 0 06 0 0 0 07 0 0 0 08 0 0 0 0
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W3 W4Sotavento Blvto(presion)Blvto(presion)
0.0000 81.4409 0.0000 Vh=0.0000 162.8818 0.0000 V0.0000 162.8818 0.0000 h0.0000 162.8818 0.0000
325.7635 162.8818 162.8818325.7635 0.0000 162.8818325.7635 0.0000 162.8818 B. presion325.7635 0.0000 162.8818 B.succion162.8818 0.0000 81.4409 Sotavento
0 217.1757 0.0000162.8818 0 217.1757
si sale negativo de succion 7.59
Superficies inclinadas entre 60 y la vertical +0,8 -0,6B.presionSotavento
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90.9580 Km/h100 Km/h6.5
Ph=0.3 12.41003870.7 0.7 28.9567570.6 0.6 24.8200774
angulo
Superficies inclinadas entre 60 y la vertical +0,8 -0,60.8 33.09343650.6 24.8200774
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Nudo inicial Nudo final xcoor Xi coor yi coor Xj coor yj L (m) l
Barra 1 0 0 1.875 0 1.875 1
Barra 2 1.875 0 3.75 0 1.875 1
Barra 3 3.75 0 5.625 0 1.875 1
Barra 4 5.625 0 7.5 0 1.875 1
Barra 5 7.5 0 9.375 0 1.875 1
Barra 6 9.375 0 11.25 0 1.875 1
Barra 7 11.25 0 13.125 0 1.875 1
Barra 8 13.125 0 15 0 1.875 1
Barra 9 0 0.5 1.875 0.75 1.892 0.991
Barra 10 1.875 0.75 3.75 1 1.892 0.991
Barra 11 3.75 1 5.625 1.25 1.892 0.991
Barra 12 5.625 1.25 7.5 1.5 1.892 0.991
Barra 13 7.5 1.5 9.375 1.25 1.892 0.991
Barra 14 9.375 1.25 11.25 1 1.892 0.991
Barra 15 11.25 1 13.125 0.75 1.892 0.991
Barra 16 13.125 0.75 15 0.5 1.892 0.991
Barra 17 0 0.5 0 0 0.500 0
Barra 18 1.875 0 0 0.5 1.941 -0.9662349
Barra 19 1.875 0.75 1.875 0 0.75 0
Barra 20 3.75 0 1.875 0.75 2.0194 -0.9284767
Barra 21 3.75 1 3.75 0 1.000 0
Barra 22 5.625 0 3.75 1 2.125 -0.882
Barra 23 5.625 1.25 5.625 0 1.250 0.000
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Barra 24 7.5 0 5.625 1.25 2.253 -0.832
Barra 25 7.5 1.5 7.5 0 1.500 0.000
Barra 26 7.5 0 9.375 1.25 2.253 0.832
Barra 27 9.375 1.25 9.375 0 1.250 0.000
Barra 28 9.375 0 11.25 1 2.125 0.882
Barra 29 11.25 1 11.25 0 1.000 0.000
Barra 30 11.25 0 13.125 0.75 2.019 0.928
Barra 31 13.125 0.75 13.125 0 0.750 0.000
Barra 32 13.125 0 15 0.5 1.941 0.966
Barra 33 15 0.5 15 0 0.500 0.000
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1 2 3 4 5 61 1.5478 0.0000 -0.5333 0.0000 0 02 -0.1283 1.3675 0.0000 0.0000 0 03 -0.5333 0.0000 1.4936 -0.1708 -0.5333 0.00004 0.0000 0.0000 -0.1708 1.0683 0.0000 0.00005 0.0000 0 -0.5333 0.0000 1.4330 -0.19546 0.0000 0 0.0000 0.0000 -0.1954 0.90427 0.0000 0 0 0 -0.5333 0.00008 0.0000 0 0 0 0.0000 0.00009 0.0000 0 0 0 0 0
10 0.0000 0 0 0 0 011 0.0000 0 0 0 0 012 0.0000 0 0 0 0 013 0.0000 0 0 0 0 014 0.0000 0 0 0 0 015 0.0000 0 0 0 0 016 0.0000 0 0 0 0 017 0.0000 0 0 0 0 018 0.0000 0 0 0 0 019 0.0000 0 0 0 0 020 0.0000 0 0 0 0 021 0.0000 0 0 0 0 022 0.0000 0 0 0 0 023 0.0000 0 0 0 0 024 0.0000 0 0 0 0 025 0.0000 0 0 0 0.0000 0.000026 0.0000 0 0 0 0.0000 -0.800027 0.0000 0 0.0000 0.0000 -0.3664 0.195428 0.0000 0 0.0000 -1.0000 0.1954 -0.104229 0.0000 0.0000 -0.4269 0.1708 0 030 0.0000 -1.3333 0.1708 -0.0683 0 031 -0.4811 0.1283 0 0 0 032 0.1283 -0.0342 0 0 0 033 0.0000 0 0 0 0 034 0.0000 0.0000 0 0 0 035 -0.5333 0.0000 0 0 0 036 0.0000 0.0000 0 0 0 0
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yArea (cm2)m
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0 1 1.00E+00
0.132 1 1.00E+00
0.132 1 1.00E+00
0.132 1 1.00E+00
0.132 1 1.00E+00
-0.132 1 1.00E+00
-0.132 1 1.00E+00
-0.132 1 1.00E+00
-0.132 1 1.00E+00
-1 1 1.00E+00
0.2577 1 1.00E+00
-1.0000 1 1.00E+00
0.3714 1 1.00E+00
-1 1 1.00E+00
0.471 1 1.00E+00
-1.000 1 1.00E+00
Mod. Elast (kg/cm2
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0.555 1 1.00E+00
-1.000 1 1.00E+00
0.555 1 1.00E+00
-1.000 1 1.00E+00
0.471 1 1.00E+00
-1.000 1 1.00E+00
0.371 1 1.00E+00
-1.000 1 1.00E+00
0.258 1 1.00E+00
-1.000 1 1.00E+00
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7 8 9 10 11 12 130 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0
-0.5333 0.0000 0 0 0 0 00.0000 0.0000 0 0 0 0 01.6811 0.0000 -0.5333 0.0000 0 0 00.0000 0.9397 0.0000 0.0000 0 0 0
-0.5333 0.0000 1.4330 0.1954 -0.5333 0.0000 00.0000 0.0000 0.1954 0.9042 0.0000 0.0000 0
0 0 -0.5333 0.0000 1.4936 0.1708 -0.53330 0 0.0000 0.0000 0.1708 1.0683 0.00000 0 0 0 -0.5333 0 1.54780 0 0 0 0.0000 0 0.12830 0 0 0 0 0 -0.48110 0 0 0 0 0 -0.12830 0 0 0 -0.4269 -0.1708 0.00000 0 0 0 -0.1708 -0.0683 0.00000 0 -0.3664 -0.1954 0.0000 0.0000 00 0 -0.1954 -0.1042 0.0000 -1.0000 0
-0.3072 -0.2048 0.0000 0.0000 0 0 0-0.2048 -0.1365 0.0000 -0.8000 0 0 00.0000 0.0000 0 0 0 0 00.0000 -0.6667 0 0 0 0 0
-0.3072 0.2048 0 0 0 0 00.2048 -0.1365 0 0 0 0 0
0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 -0.53330 0 0 0 0 0 0.00000 0 0 0 0 0 0.00000 0 0 0 0 0 0
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Barra 1
35 36 1 20.5333 0.0000 -0.5333 0.0000 350.0000 0.0000 0.0000 0.0000 36
-0.5333 0.0000 0.5333 0.0000 10.0000 0.0000 0.0000 0.0000 2
Barra 3
3 4 5 60.5333 0.0000 -0.5333 0.0000 30.0000 0.0000 0.0000 0.0000 4
-0.5333 0.0000 0.5333 0.0000 50.0000 0.0000 0.0000 0.0000 6
Barra 5
7 8 9 100.5333 0.0000 -0.5333 0.0000 70.0000 0.0000 0.0000 0.0000 8
-0.5333 0.0000 0.5333 0.0000 90.0000 0.0000 0.0000 0.0000 10
Barra 7
11 12 13 140.5333 0.0000 -0.5333 0.0000 110.0000 0.0000 0.0000 0.0000 12
-0.5333 0.0000 0.5333 0.0000 130.0000 0.0000 0.0000 0.0000 14
Barra 9
31 32 29 300.5194 0.0693 -0.5194 -0.0693 310.0693 0.0092 -0.0693 -0.0092 32
-0.5194 -0.0693 0.5194 0.0693 29-0.0693 -0.0092 0.0693 0.0092 30
Barra 11
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27 28 25 260.5194 0.0693 -0.5194 -0.0693 270.0693 0.0092 -0.0693 -0.0092 28
-0.5194 -0.0693 0.5194 0.0693 25-0.0693 -0.0092 0.0693 0.0092 26
Barra 13
23 24 21 220.5194 -0.0693 -0.5194 0.0693 23
-0.0693 0.0092 0.0693 -0.0092 24-0.5194 0.0693 0.5194 -0.0693 210.0693 -0.0092 -0.0693 0.0092 22
Barra 15
19 20 17 180.5194 -0.0693 -0.5194 0.0693 19
-0.0693 0.0092 0.0693 -0.0092 20-0.5194 0.0693 0.5194 -0.0693 170.0693 -0.0092 -0.0693 0.0092 18
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Barra 17
31 32 35 360.0000 0.0000 0.0000 0.0000 310.0000 2.0000 0.0000 -2.0000 320.0000 0.0000 0.0000 0.0000 350.0000 -2.0000 0.0000 2.0000 36
Barra 19
29 30 1 20.0000 0.0000 0.0000 0.0000 290.0000 1.3333 0.0000 -1.3333 300.0000 0.0000 0.0000 0.0000 10.0000 -1.3333 0.0000 1.3333 2
Barra 21
27 28 3 40.0000 0.0000 0.0000 0.0000 270.0000 1.0000 0.0000 -1.0000 280.0000 0.0000 0.0000 0.0000 30.0000 -1.0000 0.0000 1.0000 4
Barra 23
25 26 5 60.0000 0.0000 0.0000 0.0000 250.0000 0.8000 0.0000 -0.8000 260.0000 0.0000 0.0000 0.0000 50.0000 -0.8000 0.0000 0.8000 6
Barra 25
23 24 7 80.0000 0.0000 0.0000 0.0000 230.0000 0.6667 0.0000 -0.6667 240.0000 0.0000 0.0000 0.0000 70.0000 -0.6667 0.0000 0.6667 8
Barra 27
-
21 22 9 100.0000 0.0000 0.0000 0.0000 210.0000 0.8000 0.0000 -0.8000 220.0000 0.0000 0.0000 0.0000 90.0000 -0.8000 0.0000 0.8000 10
Barra 29
19 20 11 120.0000 0.0000 0.0000 0.0000 190.0000 1.0000 0.0000 -1.0000 200.0000 0.0000 0.0000 0.0000 110.0000 -1.0000 0.0000 1.0000 12
Barra 31
17 18 13 140.0000 0.0000 0.0000 0.0000 170.0000 1.3333 0.0000 -1.3333 180.0000 0.0000 0.0000 0.0000 130.0000 -1.3333 0.0000 1.3333 14
Barra 33
15 16 33 340.0000 0.0000 0.0000 0.0000 150.0000 2.0000 0.0000 -2.0000 160.0000 0.0000 0.0000 0.0000 330.0000 -2.0000 0.0000 2.0000 34
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14 15 16 17 18 19 200 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 -0.3664 -0.19540 0 0 0 0 -0.1954 -0.1042
0.0000 0 0 -0.4269 -0.1708 0.0000 0.00000.0000 0 0 -0.1708 -0.0683 0.0000 -1.00000.1283 -0.4811 -0.1283 0.0000 0.0000 0 01.3675 -0.1283 -0.0342 0.0000 -1.3333 0 0
-0.1283 1.0005 0.0590 -0.5194 0.0693 0 0-0.0342 0.0590 2.0434 0.0693 -0.0092 0 00.0000 -0.5194 0.0693 1.4657 0.0322 -0.5194 0.0693
-1.3333 0.0693 -0.0092 0.0322 1.4201 0.0693 -0.00920 0 0 -0.5194 0.0693 1.4052 0.05690 0 0 0.0693 -0.0092 0.0569 1.12270 0 0 0 0.5194 -0.06930 0 0 0 0 -0.0693 0.00920 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0
0.0000 0.0000 0.0000 0 0 0 00.0000 0.0000 -2.0000 0 0 0 00.0000 0.0000 0.0000 0 0 0 0
0 0 0 0 0 0 0
-
Barra 2
1 2 3 40.5333 0.0000 -0.5333 0.0000 10.0000 0.0000 0.0000 0.0000 2
-0.5333 0.0000 0.5333 0.0000 30.0000 0.0000 0.0000 0.0000 4
Barra 4
5 6 7 80.5333 0.0000 -0.5333 0.0000 50.0000 0.0000 0.0000 0.0000 6
-0.5333 0.0000 0.5333 0.0000 70.0000 0.0000 0.0000 0.0000 8
Barra 6
9 10 11 120.5333 0.0000 -0.5333 0.0000 90.0000 0.0000 0.0000 0.0000 10
-0.5333 0.0000 0.5333 0.0000 110.0000 0.0000 0.0000 0.0000 12
Barra 8
13 14 33 340.5333 0.0000 -0.5333 0.0000 130.0000 0.0000 0.0000 0.0000 14
-0.5333 0.0000 0.5333 0.0000 330.0000 0.0000 0.0000 0.0000 34
Barra 10
29 30 27 280.5194 0.0693 -0.5194 -0.0693 290.0693 0.0092 -0.0693 -0.0092 30
-0.5194 -0.0693 0.5194 0.0693 27-0.0693 -0.0092 0.0693 0.0092 28
Barra 12
-
25 26 23 240.5194 0.0693 -0.5194 -0.0693 250.0693 0.0092 -0.0693 -0.0092 26
-0.5194 -0.0693 0.5194 0.0693 23-0.0693 -0.0092 0.0693 0.0092 24
Barra 14
21 22 19 200.5194 -0.0693 -0.5194 0.0693 21
-0.0693 0.0092 0.0693 -0.0092 22-0.5194 0.0693 0.5194 -0.0693 190.0693 -0.0092 -0.0693 0.0092 20
Barra 16
17 18 15 160.5194 -0.0693 -0.5194 0.0693 17
-0.0693 0.0092 0.0693 -0.0092 18-0.5194 0.0693 0.5194 -0.0693 150.0693 -0.0092 -0.0693 0.0092 16
-
Barra 18
1 2 31 320.4811 -0.1283 -0.4811 0.1283 1
-0.1283 0.0342 0.1283 -0.0342 2-0.4811 0.1283 0.4811 -0.1283 310.1283 -0.0342 -0.1283 0.0342 32
Barra 20
3 4 29 300.4269 -0.1708 -0.4269 0.1708 3
-0.1708 0.0683 0.1708 -0.0683 4-0.4269 0.1708 0.4269 -0.1708 290.1708 -0.0683 -0.1708 0.0683 30
Barra 22
5 6 27 280.3664 -0.1954 -0.3664 0.1954 5
-0.1954 0.1042 0.1954 -0.1042 6-0.3664 0.1954 0.3664 -0.1954 270.1954 -0.1042 -0.1954 0.1042 28
Barra 24
7 8 25 260.3072 -0.2048 -0.3072 0.2048 7
-0.2048 0.1365 0.2048 -0.1365 8-0.3072 0.2048 0.3072 -0.2048 250.2048 -0.1365 -0.2048 0.1365 26
Barra 26
7 8 21 220.3072 0.2048 -0.3072 -0.2048 70.2048 0.1365 -0.2048 -0.1365 8
-0.3072 -0.2048 0.3072 0.2048 21-0.2048 -0.1365 0.2048 0.1365 22
Barra 28
-
9 10 19 200.3664 0.1954 -0.3664 -0.1954 90.1954 0.1042 -0.1954 -0.1042 10
-0.3664 -0.1954 0.3664 0.1954 19-0.1954 -0.1042 0.1954 0.1042 20
Barra 30
11 12 17 180.4269 0.1708 -0.4269 -0.1708 110.1708 0.0683 -0.1708 -0.0683 12
-0.4269 -0.1708 0.4269 0.1708 17-0.1708 -0.0683 0.1708 0.0683 18
Barra 32
13 14 15 160.4811 0.1283 -0.4811 -0.1283 130.1283 0.0342 -0.1283 -0.0342 14
-0.4811 -0.1283 0.4811 0.1283 15-0.1283 -0.0342 0.1283 0.0342 16
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21 22 23 24 25 26 270 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0.00000 0 0 0 0 0 0.00000 0 0 0 0.0000 0.0000 -0.36640 0 0 0 0.0000 -0.8000 0.1954
-0.3072 -0.2048 0 0 -0.3072 0.2048 0-0.2048 -0.1365 0 0 0.2048 -0.1365 00.0000 0.0000 0 0 0 0 00.0000 -0.8000 0 0 0 0 0
0 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0
-0.5194 0.0693 0 0 0 0 00.0693 -0.0092 0 0 0 0 01.3461 0.0663 -0.5194 0.0693 0 0 00.0663 0.9550 0.0693 -0.0092 0 0 0
-0.5194 0.0693 1.0388 0.0000 -0.5194 -0.0693 00.0693 -0.0092 0.0000 0.6851 -0.0693 -0.0092 0
0 0 -0.5194 -0.0693 1.3461 -0.0663 -0.51940 0 -0.0693 -0.0092 -0.0663 0.9550 -0.06930 0 0 0 -0.5194 -0.0693 1.40520 0 0 0 -0.0693 -0.0092 -0.05690 0 0 0 0 0 -0.51940 0 0 0 0 0 -0.06930 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0
-
28 29 30 31 32 33 340 0.0000 0.0000 -0.4811 0.1283 0 0.00000 0.0000 -1.3333 0.1283 -0.0342 0 0.0000
0.0000 -0.4269 0.1708 0 0 0 0-1.0000 0.1708 -0.0683 0 0 0 00.1954 0 0 0 0 0 0
-0.1042 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 -0.5333 0.00000 0 0 0 0 0.0000 0.00000 0 0 0 0 0.0000 0.00000 0 0 0 0 0.0000 -2.00000 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0
-0.0693 0 0 0 0 0 0-0.0092 0 0 0 0 0 0-0.0569 -0.5194 -0.0693 0 0 0 01.1227 -0.0693 -0.0092 0 0 0 0
-0.0693 1.4657 -0.0322 -0.5194 -0.0693 0 0-0.0092 -0.0322 1.4201 -0.0693 -0.0092 0 0
0 -0.5194 -0.0693 1.0005 -0.0590 0 0.00000 -0.0693 -0.0092 -0.0590 2.0434 0 0.00000 0 0 0 0 0.5333 0.00000 0 0 0.0000 0.0000 0.0000 2.00000 0 0 0.0000 0.0000 0.0000 00 0 0 0.0000 -2.0000 0 0
-
35 36-0.5333 0.0000 10.0000 0.0000 2
0 0 30 0 40 0 50 0 60 0 70 0 80 0 90 0 100 0 110 0 120 0 130 0 140 0 150 0 160 0 170 0 180 0 190 0 200 0 210 0 220 0 230 0 240 0 250 0 260 0 270 0 280 0 290 0 30
0.0000 0.0000 310.0000 -2.0000 32
0 0 330.0000 0.0000 340.5333 0.0000 350.0000 2.0000 36
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Teoria de la matriz de rigidez
0 1.55 0.00 -0.53 0.000 -0.13 1.37 0.00 0.000 -0.53 0.00 1.49 -0.170 0.00 0.00 -0.17 1.070 0.00 0.00 -0.53 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 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 0.000.00 0.00 0.00 0.00 0.00-165.73 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00-331.46 0.00 0.00 0.00 -1.000 0.00 0.00 -0.43 0.17-331.46 0.00 -1.33 0.17 -0.070 -0.48 0.13 0.00 0.00-165.73 0.13 -0.03 0.00 0.000 0.00 0.00 0.00 0.00
34 Q34 0.00 0.00 0.00 0.0035 Q35 -0.53 0.00 0.00 0.0036 Q36 0.00 0.00 0.00 0.00
Calculo de desplazamientos de los nudos
[8 )]= [8 _11 _12 _21 _22 )][8 )](_@_ ( & @ & (_@_
=AE
= _11 ]_ [^(1) _
-
D1 1.40 -4.06 1.61 -2.92D2 0.17 24.10 -2.71 17.87D3 1.11 -5.93 2.80 -3.74D4 0.09 18.02 -1.57 25.47D5 0.88 -6.10 2.23 -5.66D6 0.00 9.07 -0.75 13.46D7 0.68 -5.24 1.73 -5.43D8 0.01 0.45 0.00 0.85D9 0.53 -3.85 1.33 -3.93D10 0.73 -6.43 1.98 -6.66D11 0.41 -2.69 0.99 -2.68D12 0.99 -8.99 2.70 -9.53D13 0.33 -1.92 0.76 -1.84D14 0.75 -6.90 2.05 -7.37D15 0.43 -2.88 1.05 -2.86D16 0.01 -0.08 0.02 -0.09D17 0.45 -3.01 1.10 -2.99D18 0.76 -6.99 2.08 -7.45D19 0.35 -2.10 0.83 -1.99D20 1.00 -9.07 2.72 -9.62D21 0.17 -0.33 0.32 -0.07D22 0.74 -6.51 2.00 -6.75D23 0.35 0.39 0.54 1.25D24 0.06 0.41 0.10 0.92D25 0.63 -0.92 1.14 -0.02D26 -0.01 8.71 -0.77 12.70D27 0.86 -3.01 1.68 -2.80D28 0.08 17.65 -1.59 24.70D29 1.05 -5.78 2.19 -5.31D30 0.16 23.74 -2.73 18.11D31 1.21 -6.38 2.07 -5.19D32 -0.01 0.39 -0.02 0.23D33 0.33 -1.92 0.76 -1.84
Calculo de reacciones
Q34 0.00 0.00 0.00Q35 -0.53 0.00 0.00Q36 0.00 0.00 0.00
= _11 ]_ [^(1) _
=
= _21_ _
=AE
-
Esfuerzos en las barras
Barra 1
x 1 1 2y 0 AE -1 0
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Barra 4
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Barra 5
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Barra 6
x 1 1 2
-
y 0 AE -1 0L (m) 1.875 1.875
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L (m) 1.892 1.892
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3 4 0.001 0 0.00 632.16
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1/ =
1/ =
1/ =
1/ =
1/ =
1/
-
1 0 -5121.71 219.14-254.44-9466.32
3 4 -254.441 0 -9466.32 560.41
796.34-9873.36
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1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-1148.01-2336.64
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-642.96-4653.75
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0.000.00
3 4 1185.31-0.9662 0.2577 -12271.91 1067.59
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
2236.61-289.17
3 4 1875.840 -1 -12478.22 -275.08
1185.31-12271.91
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1875.84-12478.22
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1352.69-13167.07
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1321.88-8113.98
3 4 239.94-0.832 0.555 -1670.34 -948.16
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-1241.53-7740.24
3 4 -1148.010 -1 -2336.64 -444.20
239.94-1670.34
3 4 239.940.832 0.555 -1670.34 -1060.97
-642.96-4653.75
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-665.32-5121.71
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-336.92-9329.82
3 4 -336.920 -1 -9329.82 136.51
-254.44-9466.32
3 4 -254.440.928 0.371 -9466.32 -367.40
1/ =
1/ =
1/ =1/
1/ =1/
1/ =1/
1/ =1/
-
-846.23-9985.45
3 4 -846.230 -1 -9985.45 -149.44
796.34-9873.36
3 4 796.340.966 0.258 -9873.36 581.71
-619.75-194.95
3 4 -619.750 -1 -194.95 -389.89
796.340.00
1/ =1/
1/ =1/
1/ =1/
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-
0.00 0.00 -0.48 0.13 0.00 0.000.00 -1.33 0.13 -0.03 0.00 0.00
-0.43 0.17 0.00 0.00 0.00 0.000.17 -0.07 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 0.000.00 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 -0.53 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 -2.000.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.52 -0.07 0.00 0.00 0.00 0.00-0.07 -0.01 0.00 0.00 0.00 0.001.47 -0.03 -0.52 -0.07 0.00 0.00
-0.03 1.42 -0.07 -0.01 0.00 0.00-0.52 -0.07 1.00 -0.06 0.00 0.00-0.07 -0.01 -0.06 2.04 0.00 0.000.00 0.00 0.00 0.00 0.53 0.000.00 0.00 0.00 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -2.00 0.00 0.00
-
1.55 -4.00 1.72 -0.07 0.42-2.77 23.69 -2.79 0.33 -1.462.20 -5.89 2.02 -0.06 0.62
-3.32 18.21 -2.72 0.19 -1.912.26 -6.07 1.95 -0.05 0.89
-2.00 9.15 -1.56 0.08 -1.411.98 -5.21 1.66 -0.04 1.20
-0.15 0.45 -0.10 0.00 -0.071.51 -3.83 1.27 -0.03 1.692.17 -6.41 1.85 -0.06 1.651.12 -2.67 0.94 -0.02 2.413.03 -8.97 2.58 -0.08 1.880.86 -1.90 0.72 -0.01 3.522.33 -6.89 1.98 -0.06 1.001.18 -2.86 0.99 -0.02 2.910.03 -0.08 0.02 0.00 0.081.22 -2.99 1.03 -0.02 2.262.36 -6.97 2.00 -0.06 1.080.92 -2.08 0.77 -0.01 1.193.06 -9.05 2.60 -0.08 1.960.32 -0.32 0.27 0.00 -0.262.19 -6.49 1.88 -0.06 1.730.51 0.44 0.41 0.02 -0.22
-0.05 0.41 -0.02 0.00 -0.011.23 -0.85 1.00 0.01 0.25
-1.88 8.79 -1.48 0.08 -1.432.14 -2.93 1.71 0.00 0.56
-3.20 17.85 -2.64 0.19 -1.923.16 -5.69 2.49 -0.01 0.71
-2.75 24.08 -2.71 0.33 -1.472.55 -6.22 3.29 -0.03 0.650.02 0.38 0.01 0.50 -0.010.86 -1.90 0.72 -0.01 5.40
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 -2.00 0.00
-
-0.53 0.00 D10.00 0.00 D20.00 0.00 D30.00 0.00 D40.00 0.00 D50.00 0.00 D60.00 0.00 D70.00 0.00 D80.00 0.00 D90.00 0.00 D100.00 0.00 D110.00 0.00 D120.00 0.00 D130.00 0.00 D140.00 0.00 D150.00 0.00 D160.00 0.00 D170.00 0.00 D180.00 0.00 D190.00 0.00 D200.00 0.00 D210.00 0.00 D220.00 0.00 D230.00 0.00 D240.00 0.00 D250.00 0.00 D260.00 0.00 D270.00 0.00 D280.00 0.00 D290.00 0.00 D300.00 0.00 D310.00 -2.00 D320.00 0.00 D330.00 0.00 00.53 0.00 00.00 2.00 0
-
0 1185.310 -12271.910 1352.690 -13167.070 1321.880 -8113.980 239.940 -1670.340 -665.32
0.00 -5121.710.00 -254.440.00 -9466.320.00 796.340.00 -9873.360.00 = -619.75
-165.73 -194.950.00 -846.23
-331.46 -9985.450 -336.92
-331.46 -9329.820.00 -642.96
-331.46 -4653.750.00 -1148.01
-331.46 -2336.640.00 -1241.53
-331.46 -7740.240.00 179.59
-331.46 -13124.790.00 1875.84
-331.46 -12478.220.00 2236.61
-165.73 -289.170 796.34
1185.31 389.892363-12271.91 = -632.16428
1352.69 578.348726-13167.07
1321.88
1/
1/
-
-8113.98239.94
-1670.34-665.32
-5121.71-254.44
-9466.32796.34
-9873.36-619.75-194.95-846.23
-9985.45-336.92
-9329.82-642.96
-4653.75-1148.01-2336.64-1241.53-7740.24
179.59-13124.79
1875.84-12478.22
2236.61-289.17796.34
-
Teoria de la matriz de rigidez
1 0 1.55 0.00 -0.53 0.002 0 -0.13 1.37 0.00 0.003 0 -0.53 0.00 1.49 -0.174 0 0.00 0.00 -0.17 1.075 0 0.00 0.00 -0.53 0.006 0 0.00 0.00 0.00 0.007 0 0.00 0.00 0.00 0.008 0 0.00 0.00 0.00 0.009 0 0.00 0.00 0.00 0.0010 0.00 0.00 0.00 0.00 0.0011 0.00 0.00 0.00 0.00 0.0012 0.00 0.00 0.00 0.00 0.0013 0.00 0.00 0.00 0.00 0.0014 0.00 0.00 0.00 0.00 0.0015 0.00 0.00 0.00 0.00 0.0016 -196.88 0.00 0.00 0.00 0.0017 0.00 0.00 0.00 0.00 0.0018 -393.75 0.00 0.00 0.00 0.0019 0 0.00 0.00 0.00 0.0020 -393.75 0.00 0.00 0.00 0.0021 0 0.00 0.00 0.00 0.0022 -393.75 0.00 0.00 0.00 0.0023 0 0.00 0.00 0.00 0.0024 -393.75 0.00 0.00 0.00 0.0025 0 0.00 0.00 0.00 0.0026 -393.75 0.00 0.00 0.00 0.0027 0 0.00 0.00 0.00 0.0028 -393.75 0.00 0.00 0.00 -1.0029 0 0.00 0.00 -0.43 0.1730 -393.75 0.00 -1.33 0.17 -0.0731 0 -0.48 0.13 0.00 0.0032 -196.88 0.13 -0.03 0.00 0.0033 0 0.00 0.00 0.00 0.0034 Q34 0.00 0.00 0.00 0.0035 Q35 -0.53 0.00 0.00 0.0036 Q36 0.00 0.00 0.00 0.00
Calculo de desplazamientos de los nudos
[8 )]= [8 _11 _12 _21 _22 )][8 )](_@_ ( & @ & (_@_
=AE
= _11 ]_ [^(1) _
-
D1 1.40 -4.06 1.61 -2.92D2 0.17 24.10 -2.71 17.87D3 1.11 -5.93 2.80 -3.74D4 0.09 18.02 -1.57 25.47D5 0.88 -6.10 2.23 -5.66D6 0.00 9.07 -0.75 13.46D7 0.68 -5.24 1.73 -5.43D8 0.01 0.45 0.00 0.85D9 0.53 -3.85 1.33 -3.93D10 0.73 -6.43 1.98 -6.66D11 0.41 -2.69 0.99 -2.68D12 0.99 -8.99 2.70 -9.53D13 0.33 -1.92 0.76 -1.84D14 0.75 -6.90 2.05 -7.37D15 0.43 -2.88 1.05 -2.86D16 0.01 -0.08 0.02 -0.09D17 0.45 -3.01 1.10 -2.99D18 0.76 -6.99 2.08 -7.45D19 0.35 -2.10 0.83 -1.99D20 1.00 -9.07 2.72 -9.62D21 0.17 -0.33 0.32 -0.07D22 0.74 -6.51 2.00 -6.75D23 0.35 0.39 0.54 1.25D24 0.06 0.41 0.10 0.92D25 0.63 -0.92 1.14 -0.02D26 -0.01 8.71 -0.77 12.70D27 0.86 -3.01 1.68 -2.80D28 0.08 17.65 -1.59 24.70D29 1.05 -5.78 2.19 -5.31D30 0.16 23.74 -2.73 18.11D31 1.21 -6.38 2.07 -5.19D32 -0.01 0.39 -0.02 0.23D33 0.33 -1.92 0.76 -1.84
Calculo de reacciones
Q34 0.00 0.00 0.00Q35 -0.53 0.00 0.00Q36 0.00 0.00 0.00
= _11 ]_ [^(1) _
=
= _21_ _
=AE
-
Esfuerzos en las barras
Barra 1
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 2
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 3
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 4
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 5
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 6
x 1 1 2
-
y 0 AE -1 0L (m) 1.875 1.875
Barra 7
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 8
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 9
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 10
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 11
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 12
x 0.991 1 2y 0.132 AE -0.991 -0.132
-
L (m) 1.892 1.892
Barra 13
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 14
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 15
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 16
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 17
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
Barra 18
x -0.966 1 2y 0.258 AE 0.9662 -0.2577
-
L (m) 1.941 1.941
Barra 19
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 20
x -0.9285 1 2y 0.3714 AE 0.9285 -0.3714
L (m) 2.0194 2.019
Barra 21
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 22
x -0.882 1 2y 0.471 AE 0.882 -0.471
L (m) 2.125 2.125
Barra 23
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 24
x -0.832 1 2y 0.555 AE 0.832 -0.555
-
L (m) 2.253 2.253
Barra 25
x 0 1 2y -1 AE 0 1
L (m) 1.5 1.500
Barra 26
x 0.832 1 2y 0.555 AE -0.832 -0.555
L (m) 2.253 2.253
Barra 27
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 28
x 0.882 1 2y 0.471 AE -0.882 -0.471
L (m) 2.125 2.125
Barra 29
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 30
x 0.928 1 2y 0.371 AE -0.928 -0.371
-
L (m) 2.019 2.019
Barra 31
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 32
x 0.966 1 2y 0.258 AE -0.966 -0.258
L (m) 1.941 1.941
Barra 33
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
-
0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.43 -0.20 -0.53 0.00 0.00 0.00
-0.20 0.90 0.00 0.00 0.00 0.00-0.53 0.00 1.68 0.00 -0.53 0.000.00 0.00 0.00 0.94 0.00 0.000.00 0.00 -0.53 0.00 1.43 0.200.00 0.00 0.00 0.00 0.20 0.900.00 0.00 0.00 0.00 -0.53 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 0.000.00 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 -0.37 -0.200.00 0.00 0.00 0.00 -0.20 -0.100.00 0.00 -0.31 -0.20 0.00 0.000.00 0.00 -0.20 -0.14 0.00 -0.800.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.67 0.00 0.000.00 0.00 -0.31 0.20 0.00 0.000.00 -0.80 0.20 -0.14 0.00 0.00
-0.37 0.20 0.00 0.00 0.00 0.000.20 -0.10 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 0.000.00 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 0.00
-
1.52 -1.41 1.25 -0.07 0.90 1.10-3.67 8.89 -3.49 0.62 -2.64 -3.482.41 -1.68 1.90 -0.04 1.36 1.69
-4.15 13.41 -4.46 1.10 -3.39 -4.283.43 -2.44 2.67 -0.04 1.92 2.44
-1.87 13.33 -3.22 1.39 -2.47 -2.642.66 -3.50 3.51 -0.06 2.54 3.28
-0.01 1.20 -0.03 1.49 -0.04 1.212.01 -2.52 2.62 -0.09 3.32 1.993.16 -3.87 4.30 1.25 3.19 12.891.47 -1.70 1.88 -0.11 2.41 0.924.31 -5.90 5.87 0.93 5.83 12.961.11 -1.16 1.39 -0.12 1.80 0.203.28 -4.65 4.47 0.51 4.82 8.711.57 -1.78 2.02 0.00 2.40 1.710.04 -0.06 0.05 0.00 0.06 0.081.64 -1.84 2.11 0.05 2.41 2.143.32 -4.71 4.53 0.51 4.88 8.791.22 -1.17 1.54 0.08 1.61 1.604.35 -5.96 5.92 0.93 5.90 13.030.40 0.11 0.42 0.10 0.14 0.103.20 -3.93 4.35 1.25 3.25 11.710.51 1.18 0.34 0.01 0.11 -0.620.10 1.28 0.08 1.47 0.04 1.351.31 0.10 1.28 -0.10 0.85 0.58
-1.90 12.18 -3.25 1.40 -2.49 -2.672.09 -1.91 1.89 -0.17 1.33 1.40
-4.17 13.52 -4.49 1.11 -3.41 -4.322.43 -2.83 2.13 -0.19 1.53 1.79
-3.70 8.99 -3.52 0.63 -2.66 -3.512.20 -2.66 1.91 -0.17 1.38 1.66
-0.03 0.11 -0.03 0.01 -0.02 -0.031.11 -1.16 1.39 -0.12 1.80 0.20
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 0.00
-
3 4 0.001 0 0.00 750.98
1408.08-14578.33
3 4 1408.081 0 -14578.33 106.05
1606.92-15641.74
3 4 1606.921 0 -15641.74 -19.52
1570.32-9638.95
3 4 1570.321 0 -9638.95 -685.49
285.04-1984.27
3 4 285.041 0 -1984.27 -573.55
-790.36-6084.31
3 4 -790.36
1/ =
1/ =
1/ =
1/ =
1/ =
1/
-
1 0 -6084.31 260.33-302.26-11245.46
3 4 -302.261 0 -11245.46 665.74
946.00-11729.00
3 4 946.001 0 -11729.00 0.00
946.000.00
3 4 2656.960.991 0.132 -343.52 -1234.70
2228.40-14823.42
3 4 2228.400.991 0.132 -14823.42 -1109.04
213.34-15591.51
3 4 213.340.991 0.132 -15591.51 -437.99
-1474.87-9194.97
3 4 -1474.870.991 0.132 -9194.97 506.04
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-1363.77-2775.80
3 4 -1363.770.991 -0.132 -2775.80 506.30
-763.80-5528.39
3 4 -763.800.991 -0.132 -5528.39 577.97
-400.25-11083.29
3 4 -400.250.991 -0.132 -11083.29 -262.57
-1005.28-11862.14
3 4 -1005.280.991 -0.132 -11862.14 -670.51
-736.23-231.59
3 4 2656.960 -1 -343.52 -687.05
0.000.00
3 4 1408.08-0.9662 0.2577 -14578.33 1268.23
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
2656.96-343.52
3 4 2228.400 -1 -14823.42 -326.78
1408.08-14578.33
3 4 1606.92-0.9285 0.3714 -15641.74 -135.25
2228.40-14823.42
3 4 213.340 -1 -15591.51 50.23
1606.92-15641.74
3 4 1570.32-0.882 0.471 -9638.95 -756.14
213.34-15591.51
3 4 -1474.870 -1 -9194.97 355.18
1570.32-9638.95
3 4 285.04-0.832 0.555 -1984.27 -1126.36
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-1474.87-9194.97
3 4 -1363.770 -1 -2775.80 -527.69
285.04-1984.27
3 4 285.040.832 0.555 -1984.27 -1260.37
-763.80-5528.39
3 4 -763.800 -1 -5528.39 444.73
-790.36-6084.31
3 4 -790.360.882 0.471 -6084.31 -946.09
-400.25-11083.29
3 4 -400.250 -1 -11083.29 162.16
-302.26-11245.46
3 4 -302.260.928 0.371 -11245.46 -436.45
1/ =
1/ =
1/ =1/
1/ =1/
1/ =1/
1/ =1/
-
-1005.28-11862.14
3 4 -1005.280 -1 -11862.14 -177.53
946.00-11729.00
3 4 946.000.966 0.258 -11729.00 691.03
-736.23-231.59
3 4 -736.230 -1 -231.59 -463.17
946.000.00
1/ =1/
1/ =1/
1/ =1/
-
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 0.000.00 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 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.49 0.17 -0.53 0.00 0.00 0.000.17 1.07 0.00 0.00 0.00 0.00
-0.53 0.00 1.55 0.13 -0.48 -0.130.00 0.00 0.13 1.37 -0.13 -0.030.00 0.00 -0.48 -0.13 1.00 0.060.00 0.00 -0.13 -0.03 0.06 2.04
-0.43 -0.17 0.00 0.00 -0.52 0.07-0.17 -0.07 0.00 -1.33 0.07 -0.010.00 0.00 0.00 0.00 0.00 0.000.00 -1.00 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 0.000.00 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 0.000.00 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 -0.53 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.61 1.91 0.42 1.56 0.61 0.02-1.93 -5.21 -1.46 -4.08 -2.01 -0.050.92 2.94 0.62 2.40 0.92 0.03
-2.50 -6.48 -1.91 -5.10 -2.59 -0.061.30 4.15 0.89 3.36 1.32 0.04
-1.83 -4.32 -1.41 -3.48 -1.86 -0.041.74 5.46 1.20 4.41 1.77 0.06
-0.06 0.86 -0.07 0.46 0.04 0.002.35 5.31 1.69 4.69 2.20 0.072.26 12.35 1.65 8.10 3.11 0.073.16 2.84 2.41 3.75 2.56 0.083.46 24.24 1.88 17.06 4.63 0.172.46 1.19 3.52 0.79 2.81 0.093.93 17.26 1.00 23.78 4.00 0.312.71 3.92 2.91 3.75 4.13 0.040.08 0.18 0.08 0.32 0.04 0.502.51 4.53 2.26 3.78 2.98 0.034.00 17.44 1.08 23.35 3.97 0.311.36 2.78 1.19 1.92 1.51 0.023.54 23.41 1.96 16.62 4.60 0.17
-0.10 1.04 -0.26 1.02 -0.17 0.022.34 11.53 1.73 7.67 3.08 0.07
-0.09 0.39 -0.22 0.60 -0.21 0.010.01 1.02 -0.01 0.57 0.12 0.000.49 1.85 0.25 1.68 0.42 0.03
-1.85 -4.36 -1.43 -3.50 -1.88 -0.050.87 2.81 0.56 2.37 0.84 0.03
-2.52 -6.52 -1.92 -5.13 -2.61 -0.061.04 3.21 0.71 2.63 1.04 0.04
-1.95 -5.24 -1.47 -4.11 -2.03 -0.050.95 2.89 0.65 2.35 0.95 0.03
-0.02 -0.04 -0.01 -0.03 -0.02 0.002.46 1.19 3.52 0.79 2.81 0.09
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 0.00
-
Barras Fuerzas1 750.982 106.053 -19.524 -685.495 -573.556 260.337 665.748 0.009 -1234.7010 -1109.0411 -437.9912 506.0413 506.3014 577.9715 -262.5716 -670.5117 -687.0518 1268.2319 -326.7820 -135.2521 50.2322 -756.1423 355.1824 -1126.3625 -527.6926 -1260.3727 444.7328 -946.0929 162.1630 -436.4531 -177.5332 691.0333 -463.17
-
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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -0.31 -0.200.00 0.00 0.00 0.00 -0.20 -0.140.00 0.00 -0.37 -0.20 0.00 0.000.00 0.00 -0.20 -0.10 0.00 -0.80
-0.43 -0.17 0.00 0.00 0.00 0.00-0.17 -0.07 0.00 -1.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 -1.33 0.00 0.00 0.00 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01 0.00 0.00 0.00 0.001.47 0.03 -0.52 0.07 0.00 0.000.03 1.42 0.07 -0.01 0.00 0.00
-0.52 0.07 1.41 0.06 -0.52 0.070.07 -0.01 0.06 1.12 0.07 -0.010.00 0.00 0.52 -0.07 1.35 0.070.00 0.00 -0.07 0.01 0.07 0.960.00 0.00 0.00 0.00 -0.52 0.070.00 0.00 0.00 0.00 0.07 -0.010.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.62 1.58 0.37 1.93 0.39 1.12-2.07 -4.13 -1.49 -5.26 -0.56 -3.530.94 2.43 0.55 2.97 0.62 1.72
-2.66 -5.16 -1.93 -6.55 -0.63 -4.351.34 3.41 0.81 4.19 0.84 2.48
-1.89 -3.52 -1.36 -4.37 -0.36 -2.681.80 4.46 1.12 5.52 1.06 3.340.10 0.46 0.14 0.86 0.16 1.212.16 4.76 1.23 5.38 0.96 2.063.55 8.16 3.17 12.42 1.19 11.702.30 3.83 1.02 2.92 0.89 1.005.28 17.22 3.67 23.41 1.11 12.132.08 0.87 0.88 1.27 0.83 0.294.06 23.34 2.28 16.83 0.72 8.282.91 3.73 1.32 3.89 0.97 1.690.02 0.32 0.02 0.18 0.01 0.083.22 3.80 1.48 4.45 1.01 2.074.08 23.66 2.29 17.00 0.72 8.351.59 1.94 1.45 2.80 0.98 1.495.20 16.79 3.68 23.58 1.11 12.20
-0.20 1.03 -0.44 1.06 0.89 0.123.48 7.73 3.05 11.59 1.19 11.78
-0.26 0.61 -0.49 0.40 0.70 -0.600.18 0.57 0.20 1.02 0.15 1.350.40 1.70 0.05 1.88 0.72 0.61
-1.91 -3.55 -1.38 -4.41 -0.36 -2.720.84 2.40 0.43 2.85 0.71 1.43
-2.68 -5.19 -1.94 -6.59 -0.62 -4.381.05 2.67 0.62 3.24 0.67 1.83
-2.09 -4.16 -1.50 -5.30 -0.56 -3.570.96 2.38 0.59 2.92 0.57 1.69
-0.02 -0.03 -0.02 -0.04 0.00 -0.032.08 0.87 0.88 1.27 0.83 0.29
-2.00 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 0.00
-
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 -1.000.00 0.00 0.00 0.00 -0.37 0.200.00 0.00 0.00 -0.80 0.20 -0.100.00 0.00 -0.31 0.20 0.00 0.000.00 0.00 0.20 -0.14 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 0.000.00 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 0.000.00 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 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01 0.00 0.00 0.00 0.001.04 0.00 -0.52 -0.07 0.00 0.000.00 0.69 -0.07 -0.01 0.00 0.00
-0.52 -0.07 1.35 -0.07 -0.52 -0.07-0.07 -0.01 -0.07 0.96 -0.07 -0.010.00 0.00 -0.52 -0.07 1.41 -0.060.00 0.00 -0.07 -0.01 -0.06 1.120.00 0.00 0.00 0.00 -0.52 -0.070.00 0.00 0.00 0.00 -0.07 -0.010.00 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 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.33 0.02 0.60 -1.35 1.01 -2.860.73 0.17 0.42 8.48 -0.77 17.470.58 0.04 0.98 -1.64 1.52 -3.701.11 0.23 0.59 12.61 -1.44 24.660.70 0.04 1.20 -2.41 1.87 -5.630.88 0.18 0.15 12.16 -1.43 13.540.74 0.03 1.32 -3.47 1.75 -5.40
-0.03 -0.01 -0.21 1.20 -0.19 0.860.73 0.01 1.10 -2.49 1.37 -3.900.03 0.08 0.94 -3.85 1.74 -6.650.72 -0.01 0.91 -1.68 1.05 -2.660.05 0.11 1.40 -5.88 2.46 -9.510.71 -0.02 0.78 -1.14 0.83 -1.820.04 0.09 1.09 -4.63 1.90 -7.350.72 0.00 0.93 -1.75 1.09 -2.840.00 0.00 0.01 -0.06 0.02 -0.090.72 0.00 0.95 -1.82 1.13 -2.960.04 0.09 1.11 -4.69 1.92 -7.440.71 -0.01 0.79 -1.15 0.87 -1.970.05 0.11 1.41 -5.94 2.49 -9.600.70 -0.04 0.50 0.13 0.38 -0.050.03 0.08 0.96 -3.91 1.76 -6.742.10 0.07 1.32 1.23 0.78 1.300.06 1.48 -0.02 1.29 -0.06 0.921.45 0.16 2.24 0.17 1.58 0.050.91 0.18 0.18 12.26 -1.26 12.780.94 0.09 1.59 -1.69 2.56 -2.721.14 0.24 0.62 12.71 -1.41 24.900.60 0.04 1.12 -2.64 1.99 -5.120.76 0.17 0.45 8.58 -0.74 17.700.43 0.02 0.85 -2.51 1.57 -5.030.03 0.00 0.03 0.10 0.03 0.230.71 -0.02 0.78 -1.14 0.83 -1.82
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 0.00
-
0.00 0.00 -0.48 0.13 0.00 0.000.00 -1.33 0.13 -0.03 0.00 0.00
-0.43 0.17 0.00 0.00 0.00 0.000.17 -0.07 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 0.000.00 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 -0.53 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 -2.000.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.52 -0.07 0.00 0.00 0.00 0.00-0.07 -0.01 0.00 0.00 0.00 0.001.47 -0.03 -0.52 -0.07 0.00 0.00
-0.03 1.42 -0.07 -0.01 0.00 0.00-0.52 -0.07 1.00 -0.06 0.00 0.00-0.07 -0.01 -0.06 2.04 0.00 0.000.00 0.00 0.00 0.00 0.53 0.000.00 0.00 0.00 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -2.00 0.00 0.00
-
1.55 -4.00 1.72 -0.07 0.42-2.77 23.69 -2.79 0.33 -1.462.20 -5.89 2.02 -0.06 0.62
-3.32 18.21 -2.72 0.19 -1.912.26 -6.07 1.95 -0.05 0.89
-2.00 9.15 -1.56 0.08 -1.411.98 -5.21 1.66 -0.04 1.20
-0.15 0.45 -0.10 0.00 -0.071.51 -3.83 1.27 -0.03 1.692.17 -6.41 1.85 -0.06 1.651.12 -2.67 0.94 -0.02 2.413.03 -8.97 2.58 -0.08 1.880.86 -1.90 0.72 -0.01 3.522.33 -6.89 1.98 -0.06 1.001.18 -2.86 0.99 -0.02 2.910.03 -0.08 0.02 0.00 0.081.22 -2.99 1.03 -0.02 2.262.36 -6.97 2.00 -0.06 1.080.92 -2.08 0.77 -0.01 1.193.06 -9.05 2.60 -0.08 1.960.32 -0.32 0.27 0.00 -0.262.19 -6.49 1.88 -0.06 1.730.51 0.44 0.41 0.02 -0.22
-0.05 0.41 -0.02 0.00 -0.011.23 -0.85 1.00 0.01 0.25
-1.88 8.79 -1.48 0.08 -1.432.14 -2.93 1.71 0.00 0.56
-3.20 17.85 -2.64 0.19 -1.923.16 -5.69 2.49 -0.01 0.71
-2.75 24.08 -2.71 0.33 -1.472.55 -6.22 3.29 -0.03 0.650.02 0.38 0.01 0.50 -0.010.86 -1.90 0.72 -0.01 5.40
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 -2.00 0.00
-
-0.53 0.00 D10.00 0.00 D20.00 0.00 D30.00 0.00 D40.00 0.00 D50.00 0.00 D60.00 0.00 D70.00 0.00 D80.00 0.00 D90.00 0.00 D100.00 0.00 D110.00 0.00 D120.00 0.00 D130.00 0.00 D140.00 0.00 D150.00 0.00 D160.00 0.00 D170.00 0.00 D180.00 0.00 D190.00 0.00 D200.00 0.00 D210.00 0.00 D220.00 0.00 D230.00 0.00 D240.00 0.00 D250.00 0.00 D260.00 0.00 D270.00 0.00 D280.00 0.00 D290.00 0.00 D300.00 0.00 D310.00 -2.00 D320.00 0.00 D330.00 0.00 00.53 0.00 00.00 2.00 0
-
0 1408.080 -14578.330 1606.920 -15641.740 1570.320 -9638.950 285.040 -1984.270 -790.36
0.00 -6084.310.00 -302.260.00 -11245.460.00 946.000.00 -11729.000.00 = -736.23
-196.88 -231.590.00 -1005.28
-393.75 -11862.140 -400.25
-393.75 -11083.290.00 -763.80
-393.75 -5528.390.00 -1363.77
-393.75 -2775.800.00 -1474.87
-393.75 -9194.970.00 213.34
-393.75 -15591.510.00 2228.40
-393.75 -14823.420.00 2656.96
-196.88 -343.520 946.00
1408.08 463.170006-14578.33 = -750.975297
1606.92 687.045472-15641.74
1570.32
1/
1/
-
-9638.95285.04
-1984.27-790.36
-6084.31-302.26
-11245.46946.00
-11729.00-736.23-231.59
-1005.28-11862.14
-400.25-11083.29
-763.80-5528.39-1363.77-2775.80-1474.87-9194.97
213.34-15591.51
2228.40-14823.42
2656.96-343.52946.00
-
Teoria de la matriz de rigidez
0 1.55 0.00 -0.53 0.000 -0.13 1.37 0.00 0.000 -0.53 0.00 1.49 -0.170 0.00 0.00 -0.17 1.070 0.00 0.00 -0.53 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.000 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00230.349591 0.00 0.00 0.00 0.00345.524387 0.00 0.00 0.00 0.00115.174796 0.00 0.00 0.00 0.00115.174796 0.00 0.00 0.00 0.00-115.174796 0.00 0.00 0.00 0.00115.174796 0.00 0.00 0.00 0.00-115.174796 0.00 0.00 0.00 -1.00115.174796 0.00 0.00 -0.43 0.17-115.174796 0.00 -1.33 0.17 -0.0757.5873978 -0.48 0.13 0.00 0.00-57.5873978 0.13 -0.03 0.00 0.00162.881758 0.00 0.00 0.00 0.00Q34 0.00 0.00 0.00 0.00
Q35+ 217.175677 -0.53 0.00 0.00 0.00Q36 0.00 0.00 0.00 0.00
Calculo de desplazamientos de los nudos
[8 )]= [8 _11 _12 _21 _22 )][8 )](_@_ ( & @ & (_@_
=AE
= _11 ]_ [^(1) _
-
D1 1.40 -4.06 1.61 -2.92D2 0.17 24.10 -2.71 17.87D3 1.11 -5.93 2.80 -3.74D4 0.09 18.02 -1.57 25.47D5 0.88 -6.10 2.23 -5.66D6 0.00 9.07 -0.75 13.46D7 0.68 -5.24 1.73 -5.43D8 0.01 0.45 0.00 0.85D9 0.53 -3.85 1.33 -3.93D10 0.73 -6.43 1.98 -6.66D11 0.41 -2.69 0.99 -2.68D12 0.99 -8.99 2.70 -9.53D13 0.33 -1.92 0.76 -1.84D14 0.75 -6.90 2.05 -7.37D15 0.43 -2.88 1.05 -2.86D16 0.01 -0.08 0.02 -0.09D17 0.45 -3.01 1.10 -2.99D18 0.76 -6.99 2.08 -7.45D19 0.35 -2.10 0.83 -1.99D20 1.00 -9.07 2.72 -9.62D21 0.17 -0.33 0.32 -0.07D22 0.74 -6.51 2.00 -6.75D23 0.35 0.39 0.54 1.25D24 0.06 0.41 0.10 0.92D25 0.63 -0.92 1.14 -0.02D26 -0.01 8.71 -0.77 12.70D27 0.86 -3.01 1.68 -2.80D28 0.08 17.65 -1.59 24.70D29 1.05 -5.78 2.19 -5.31D30 0.16 23.74 -2.73 18.11D31 1.21 -6.38 2.07 -5.19D32 -0.01 0.39 -0.02 0.23D33 0.33 -1.92 0.76 -1.84
Calculo de reacciones
Q34 0.00 0.00 0.00217.175677 -0.53 0.00 0.00
Q36 0.00 0.00 0.00
= _11 ]_ [^(1) _
=
= _21_ _
=AE
-
Esfuerzos en las barras
Barra 1
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 2
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 3
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 4
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 5
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 6
x 1 1 2
-
y 0 AE -1 0L (m) 1.875 1.875
Barra 7
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 8
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 9
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 10
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 11
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 12
x 0.991 1 2y 0.132 AE -0.991 -0.132
-
L (m) 1.892 1.892
Barra 13
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 14
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 15
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 16
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 17
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
Barra 18
x -0.966 1 2y 0.258 AE 0.9662 -0.2577
-
L (m) 1.941 1.941
Barra 19
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 20
x -0.9285 1 2y 0.3714 AE 0.9285 -0.3714
L (m) 2.0194 2.019
Barra 21
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 22
x -0.882 1 2y 0.471 AE 0.882 -0.471
L (m) 2.125 2.125
Barra 23
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 24
x -0.832 1 2y 0.555 AE 0.832 -0.555
-
L (m) 2.253 2.253
Barra 25
x 0 1 2y -1 AE 0 1
L (m) 1.5 1.500
Barra 26
x 0.832 1 2y 0.555 AE -0.832 -0.555
L (m) 2.253 2.253
Barra 27
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 28
x 0.882 1 2y 0.471 AE -0.882 -0.471
L (m) 2.125 2.125
Barra 29
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 30
x 0.928 1 2y 0.371 AE -0.928 -0.371
-
L (m) 2.019 2.019
Barra 31
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 32
x 0.966 1 2y 0.258 AE -0.966 -0.258
L (m) 1.941 1.941
Barra 33
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
-
0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.43 -0.20 -0.53 0.00 0.00 0.00
-0.20 0.90 0.00 0.00 0.00 0.00-0.53 0.00 1.68 0.00 -0.53 0.000.00 0.00 0.00 0.94 0.00 0.000.00 0.00 -0.53 0.00 1.43 0.200.00 0.00 0.00 0.00 0.20 0.900.00 0.00 0.00 0.00 -0.53 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 0.000.00 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 -0.37 -0.200.00 0.00 0.00 0.00 -0.20 -0.100.00 0.00 -0.31 -0.20 0.00 0.000.00 0.00 -0.20 -0.14 0.00 -0.800.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.67 0.00 0.000.00 0.00 -0.31 0.20 0.00 0.000.00 -0.80 0.20 -0.14 0.00 0.00
-0.37 0.20 0.00 0.00 0.00 0.000.20 -0.10 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 0.000.00 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 0.00
-
1.52 -1.41 1.25 -0.07 0.90 1.10-3.67 8.89 -3.49 0.62 -2.64 -3.482.41 -1.68 1.90 -0.04 1.36 1.69
-4.15 13.41 -4.46 1.10 -3.39 -4.283.43 -2.44 2.67 -0.04 1.92 2.44
-1.87 13.33 -3.22 1.39 -2.47 -2.642.66 -3.50 3.51 -0.06 2.54 3.28
-0.01 1.20 -0.03 1.49 -0.04 1.212.01 -2.52 2.62 -0.09 3.32 1.993.16 -3.87 4.30 1.25 3.19 12.891.47 -1.70 1.88 -0.11 2.41 0.924.31 -5.90 5.87 0.93 5.83 12.961.11 -1.16 1.39 -0.12 1.80 0.203.28 -4.65 4.47 0.51 4.82 8.711.57 -1.78 2.02 0.00 2.40 1.710.04 -0.06 0.05 0.00 0.06 0.081.64 -1.84 2.11 0.05 2.41 2.143.32 -4.71 4.53 0.51 4.88 8.791.22 -1.17 1.54 0.08 1.61 1.604.35 -5.96 5.92 0.93 5.90 13.030.40 0.11 0.42 0.10 0.14 0.103.20 -3.93 4.35 1.25 3.25 11.710.51 1.18 0.34 0.01 0.11 -0.620.10 1.28 0.08 1.47 0.04 1.351.31 0.10 1.28 -0.10 0.85 0.58
-1.90 12.18 -3.25 1.40 -2.49 -2.672.09 -1.91 1.89 -0.17 1.33 1.40
-4.17 13.52 -4.49 1.11 -3.41 -4.322.43 -2.83 2.13 -0.19 1.53 1.79
-3.70 8.99 -3.52 0.63 -2.66 -3.512.20 -2.66 1.91 -0.17 1.38 1.66
-0.03 0.11 -0.03 0.01 -0.02 -0.031.11 -1.16 1.39 -0.12 1.80 0.20
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 0.00
-
3 4 0.001 0 0.00 1669.29
3129.93-10619.53
3 4 3129.931 0 -10619.53 786.30
4604.24-12447.01
3 4 4604.241 0 -12447.01 781.28
6069.14-8097.74
3 4 6069.141 0 -8097.74 582.47
7161.28304.08
3 4 7161.281 0 304.08 -313.01
6574.3812890.82
3 4 6574.38
1/ =
1/ =
1/ =
1/ =
1/ =
1/
-
1 0 12890.82 -723.195218.4019662.43
3 4 5218.401 0 19662.43 -754.16
3804.3516868.00
3 4 3804.351 0 16868.00 162.88
4109.760.00
3 4 4930.970.991 0.132 -128.52 -540.81
5308.63-10715.42
3 4 5308.630.991 0.132 -10715.42 -652.51
4293.24-12445.00
3 4 4293.240.991 0.132 -12445.00 -568.62
2610.94-7965.20
3 4 2610.940.991 0.132 -7965.20 -386.87
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
718.26699.16
3 4 718.260.991 -0.132 699.16 -733.84
904.7112617.36
3 4 904.710.991 -0.132 12617.36 1177.24
4089.0219650.04
3 4 4089.020.991 -0.132 19650.04 1357.90
6335.3617051.41
3 4 6335.360.991 -0.132 17051.41 1155.85
6312.68313.94
3 4 4930.970 -1 -128.52 -257.05
0.000.00
3 4 3129.93-0.9662 0.2577 -10619.53 496.32
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
4930.97-128.52
3 4 5308.630 -1 -10715.42 -127.85
3129.93-10619.53
3 4 4604.24-0.9285 0.3714 -12447.01 -5.41
5308.63-10715.42
3 4 4293.240 -1 -12445.00 2.01
4604.24-12447.01
3 4 6069.14-0.882 0.471 -8097.74 -226.45
4293.24-12445.00
3 4 2610.940 -1 -7965.20 106.03
6069.14-8097.74
3 4 7161.28-0.832 0.555 304.08 -356.67
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
2610.94-7965.20
3 4 718.260 -1 699.16 263.39
7161.28304.08
3 4 7161.280.832 0.555 304.08 722.77
904.7112617.36
3 4 904.710 -1 12617.36 -218.76
6574.3812890.82
3 4 6574.380.882 0.471 12890.82 466.59
4089.0219650.04
3 4 4089.020 -1 19650.04 -12.39
5218.4019662.43
3 4 5218.400.928 0.371 19662.43 33.61
1/ =
1/ =
1/ =1/
1/ =1/
1/ =1/
1/ =1/
-
6335.3617051.41
3 4 6335.360 -1 17051.41 244.54
3804.3516868.00
3 4 3804.350.966 0.258 16868.00 -952.03
6312.68313.94
3 4 6312.680 -1 313.94 627.88
4109.760.00
1/ =1/
1/ =1/
1/ =1/
-
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 0.000.00 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 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.49 0.17 -0.53 0.00 0.00 0.000.17 1.07 0.00 0.00 0.00 0.00
-0.53 0.00 1.55 0.13 -0.48 -0.130.00 0.00 0.13 1.37 -0.13 -0.030.00 0.00 -0.48 -0.13 1.00 0.060.00 0.00 -0.13 -0.03 0.06 2.04
-0.43 -0.17 0.00 0.00 -0.52 0.07-0.17 -0.07 0.00 -1.33 0.07 -0.010.00 0.00 0.00 0.00 0.00 0.000.00 -1.00 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 0.000.00 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 0.000.00 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 -0.53 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.61 1.91 0.42 1.56 0.61 0.02-1.93 -5.21 -1.46 -4.08 -2.01 -0.050.92 2.94 0.62 2.40 0.92 0.03
-2.50 -6.48 -1.91 -5.10 -2.59 -0.061.30 4.15 0.89 3.36 1.32 0.04
-1.83 -4.32 -1.41 -3.48 -1.86 -0.041.74 5.46 1.20 4.41 1.77 0.06
-0.06 0.86 -0.07 0.46 0.04 0.002.35 5.31 1.69 4.69 2.20 0.072.26 12.35 1.65 8.10 3.11 0.073.16 2.84 2.41 3.75 2.56 0.083.46 24.24 1.88 17.06 4.63 0.172.46 1.19 3.52 0.79 2.81 0.093.93 17.26 1.00 23.78 4.00 0.312.71 3.92 2.91 3.75 4.13 0.040.08 0.18 0.08 0.32 0.04 0.502.51 4.53 2.26 3.78 2.98 0.034.00 17.44 1.08 23.35 3.97 0.311.36 2.78 1.19 1.92 1.51 0.023.54 23.41 1.96 16.62 4.60 0.17
-0.10 1.04 -0.26 1.02 -0.17 0.022.34 11.53 1.73 7.67 3.08 0.07
-0.09 0.39 -0.22 0.60 -0.21 0.010.01 1.02 -0.01 0.57 0.12 0.000.49 1.85 0.25 1.68 0.42 0.03
-1.85 -4.36 -1.43 -3.50 -1.88 -0.050.87 2.81 0.56 2.37 0.84 0.03
-2.52 -6.52 -1.92 -5.13 -2.61 -0.061.04 3.21 0.71 2.63 1.04 0.04
-1.95 -5.24 -1.47 -4.11 -2.03 -0.050.95 2.89 0.65 2.35 0.95 0.03
-0.02 -0.04 -0.01 -0.03 -0.02 0.002.46 1.19 3.52 0.79 2.81 0.09
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 0.00
-
Barras Fuerzas1 1669.292 786.303 781.284 582.475 -313.016 -723.197 -754.168 162.889 -540.8110 -652.5111 -568.6212 -386.8713 -733.8414 1177.2415 1357.9016 1155.8517 -257.0518 496.3219 -127.8520 -5.4121 2.0122 -226.4523 106.0324 -356.6725 263.3926 722.7727 -218.7628 466.5929 -12.3930 33.6131 244.5432 -952.0333 627.88
-
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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -0.31 -0.200.00 0.00 0.00 0.00 -0.20 -0.140.00 0.00 -0.37 -0.20 0.00 0.000.00 0.00 -0.20 -0.10 0.00 -0.80
-0.43 -0.17 0.00 0.00 0.00 0.00-0.17 -0.07 0.00 -1.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 -1.33 0.00 0.00 0.00 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01 0.00 0.00 0.00 0.001.47 0.03 -0.52 0.07 0.00 0.000.03 1.42 0.07 -0.01 0.00 0.00
-0.52 0.07 1.41 0.06 -0.52 0.070.07 -0.01 0.06 1.12 0.07 -0.010.00 0.00 0.52 -0.07 1.35 0.070.00 0.00 -0.07 0.01 0.07 0.960.00 0.00 0.00 0.00 -0.52 0.070.00 0.00 0.00 0.00 0.07 -0.010.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.62 1.58 0.37 1.93 0.39 1.12-2.07 -4.13 -1.49 -5.26 -0.56 -3.530.94 2.43 0.55 2.97 0.62 1.72
-2.66 -5.16 -1.93 -6.55 -0.63 -4.351.34 3.41 0.81 4.19 0.84 2.48
-1.89 -3.52 -1.36 -4.37 -0.36 -2.681.80 4.46 1.12 5.52 1.06 3.340.10 0.46 0.14 0.86 0.16 1.212.16 4.76 1.23 5.38 0.96 2.063.55 8.16 3.17 12.42 1.19 11.702.30 3.83 1.02 2.92 0.89 1.005.28 17.22 3.67 23.41 1.11 12.132.08 0.87 0.88 1.27 0.83 0.294.06 23.34 2.28 16.83 0.72 8.282.91 3.73 1.32 3.89 0.97 1.690.02 0.32 0.02 0.18 0.01 0.083.22 3.80 1.48 4.45 1.01 2.074.08 23.66 2.29 17.00 0.72 8.351.59 1.94 1.45 2.80 0.98 1.495.20 16.79 3.68 23.58 1.11 12.20
-0.20 1.03 -0.44 1.06 0.89 0.123.48 7.73 3.05 11.59 1.19 11.78
-0.26 0.61 -0.49 0.40 0.70 -0.600.18 0.57 0.20 1.02 0.15 1.350.40 1.70 0.05 1.88 0.72 0.61
-1.91 -3.55 -1.38 -4.41 -0.36 -2.720.84 2.40 0.43 2.85 0.71 1.43
-2.68 -5.19 -1.94 -6.59 -0.62 -4.381.05 2.67 0.62 3.24 0.67 1.83
-2.09 -4.16 -1.50 -5.30 -0.56 -3.570.96 2.38 0.59 2.92 0.57 1.69
-0.02 -0.03 -0.02 -0.04 0.00 -0.032.08 0.87 0.88 1.27 0.83 0.29
-2.00 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 0.00
-
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 -1.000.00 0.00 0.00 0.00 -0.37 0.200.00 0.00 0.00 -0.80 0.20 -0.100.00 0.00 -0.31 0.20 0.00 0.000.00 0.00 0.20 -0.14 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 0.000.00 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 0.000.00 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 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01 0.00 0.00 0.00 0.001.04 0.00 -0.52 -0.07 0.00 0.000.00 0.69 -0.07 -0.01 0.00 0.00
-0.52 -0.07 1.35 -0.07 -0.52 -0.07-0.07 -0.01 -0.07 0.96 -0.07 -0.010.00 0.00 -0.52 -0.07 1.41 -0.060.00 0.00 -0.07 -0.01 -0.06 1.120.00 0.00 0.00 0.00 -0.52 -0.070.00 0.00 0.00 0.00 -0.07 -0.010.00 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 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.33 0.02 0.60 -1.35 1.01 -2.860.73 0.17 0.42 8.48 -0.77 17.470.58 0.04 0.98 -1.64 1.52 -3.701.11 0.23 0.59 12.61 -1.44 24.660.70 0.04 1.20 -2.41 1.87 -5.630.88 0.18 0.15 12.16 -1.43 13.540.74 0.03 1.32 -3.47 1.75 -5.40
-0.03 -0.01 -0.21 1.20 -0.19 0.860.73 0.01 1.10 -2.49 1.37 -3.900.03 0.08 0.94 -3.85 1.74 -6.650.72 -0.01 0.91 -1.68 1.05 -2.660.05 0.11 1.40 -5.88 2.46 -9.510.71 -0.02 0.78 -1.14 0.83 -1.820.04 0.09 1.09 -4.63 1.90 -7.350.72 0.00 0.93 -1.75 1.09 -2.840.00 0.00 0.01 -0.06 0.02 -0.090.72 0.00 0.95 -1.82 1.13 -2.960.04 0.09 1.11 -4.69 1.92 -7.440.71 -0.01 0.79 -1.15 0.87 -1.970.05 0.11 1.41 -5.94 2.49 -9.600.70 -0.04 0.50 0.13 0.38 -0.050.03 0.08 0.96 -3.91 1.76 -6.742.10 0.07 1.32 1.23 0.78 1.300.06 1.48 -0.02 1.29 -0.06 0.921.45 0.16 2.24 0.17 1.58 0.050.91 0.18 0.18 12.26 -1.26 12.780.94 0.09 1.59 -1.69 2.56 -2.721.14 0.24 0.62 12.71 -1.41 24.900.60 0.04 1.12 -2.64 1.99 -5.120.76 0.17 0.45 8.58 -0.74 17.700.43 0.02 0.85 -2.51 1.57 -5.030.03 0.00 0.03 0.10 0.03 0.230.71 -0.02 0.78 -1.14 0.83 -1.82
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 0.00
-
0.00 0.00 -0.48 0.13 0.00 0.000.00 -1.33 0.13 -0.03 0.00 0.00
-0.43 0.17 0.00 0.00 0.00 0.000.17 -0.07 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 0.000.00 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 -0.53 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 -2.000.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.52 -0.07 0.00 0.00 0.00 0.00-0.07 -0.01 0.00 0.00 0.00 0.001.47 -0.03 -0.52 -0.07 0.00 0.00
-0.03 1.42 -0.07 -0.01 0.00 0.00-0.52 -0.07 1.00 -0.06 0.00 0.00-0.07 -0.01 -0.06 2.04 0.00 0.000.00 0.00 0.00 0.00 0.53 0.000.00 0.00 0.00 0.00 0.00 2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -2.00 0.00 0.00
-
1.55 -4.00 1.72 -0.07 0.42-2.77 23.69 -2.79 0.33 -1.462.20 -5.89 2.02 -0.06 0.62
-3.32 18.21 -2.72 0.19 -1.912.26 -6.07 1.95 -0.05 0.89
-2.00 9.15 -1.56 0.08 -1.411.98 -5.21 1.66 -0.04 1.20
-0.15 0.45 -0.10 0.00 -0.071.51 -3.83 1.27 -0.03 1.692.17 -6.41 1.85 -0.06 1.651.12 -2.67 0.94 -0.02 2.413.03 -8.97 2.58 -0.08 1.880.86 -1.90 0.72 -0.01 3.522.33 -6.89 1.98 -0.06 1.001.18 -2.86 0.99 -0.02 2.910.03 -0.08 0.02 0.00 0.081.22 -2.99 1.03 -0.02 2.262.36 -6.97 2.00 -0.06 1.080.92 -2.08 0.77 -0.01 1.193.06 -9.05 2.60 -0.08 1.960.32 -0.32 0.27 0.00 -0.262.19 -6.49 1.88 -0.06 1.730.51 0.44 0.41 0.02 -0.22
-0.05 0.41 -0.02 0.00 -0.011.23 -0.85 1.00 0.01 0.25
-1.88 8.79 -1.48 0.08 -1.432.14 -2.93 1.71 0.00 0.56
-3.20 17.85 -2.64 0.19 -1.923.16 -5.69 2.49 -0.01 0.71
-2.75 24.08 -2.71 0.33 -1.472.55 -6.22 3.29 -0.03 0.650.02 0.38 0.01 0.50 -0.010.86 -1.90 0.72 -0.01 5.40
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 -2.00 0.00
-
-0.53 0.00 D10.00 0.00 D20.00 0.00 D30.00 0.00 D40.00 0.00 D50.00 0.00 D60.00 0.00 D70.00 0.00 D80.00 0.00 D90.00 0.00 D100.00 0.00 D110.00 0.00 D120.00 0.00 D130.00 0.00 D140.00 0.00 D150.00 0.00 D160.00 0.00 D170.00 0.00 D180.00 0.00 D190.00 0.00 D200.00 0.00 D210.00 0.00 D220.00 0.00 D230.00 0.00 D240.00 0.00 D250.00 0.00 D260.00 0.00 D270.00 0.00 D280.00 0.00 D290.00 0.00 D300.00 0.00 D310.00 -2.00 D320.00 0.00 D330.00 0.00 00.53 0.00 00.00 2.00 0
-
0 3129.930 -10619.530 4604.240 -12447.010 6069.140 -8097.740 7161.280 304.080 6574.38
0.00 12890.820.00 5218.400.00 19662.430.00 3804.350.00 16868.00
230.35 = 6312.68230.35 313.94230.35 6335.36230.35 17051.41
230.349591 4089.02230.35 19650.04230.35 904.71230.35 12617.36345.52 718.26115.17 699.16115.17 2610.94
-115.17 -7965.20115.17 4293.24
-115.17 -12445.00115.17 5308.63
-115.17 -10715.4257.59 4930.97
-57.59 -128.52162.881758 4109.76
3129.93 -627.8796028-10619.53 = -1452.1185
4604.24 257.04812642-12447.01
6069.14
1/
1/
-
-8097.747161.28
304.086574.38
12890.825218.40
19662.433804.35
16868.006312.68
313.946335.36
17051.414089.02
19650.04904.71
12617.36718.26699.16
2610.94-7965.204293.24
-12445.005308.63
-10715.424930.97-128.524109.76
-
Teoria de la matriz de rigidez
1 0 1.55 0.00 -0.53 0.002 0 -0.13 1.37 0.00 0.003 0 -0.53 0.00 1.49 -0.174 0 0.00 0.00 -0.17 1.075 0 0.00 0.00 -0.53 0.006 0 0.00 0.00 0.00 0.007 0 0.00 0.00 0.00 0.008 0 0.00 0.00 0.00 0.009 0 0.00 0.00 0.00 0.0010 0 0.00 0.00 0.00 0.0011 0 0.00 0.00 0.00 0.0012 0 0.00 0.00 0.00 0.0013 0 0.00 0.00 0.00 0.0014 0 0.00 0.00 0.00 0.0015 -115.174796 0.00 0.00 0.00 0.0016 -115.174796 0.00 0.00 0.00 0.0017 -115.174796 0.00 0.00 0.00 0.0018 -115.174796 0.00 0.00 0.00 0.0019 -115.174796 0.00 0.00 0.00 0.0020 -115.174796 0.00 0.00 0.00 0.0021 -115.174796 0.00 0.00 0.00 0.0022 -115.174796 0.00 0.00 0.00 0.0023 -268.74119 0.00 0.00 0.00 0.0024 383.915985 0.00 0.00 0.00 0.0025 -268.74119 0.00 0.00 0.00 0.0026 268.74119 0.00 0.00 0.00 0.0027 -268.74119 0.00 0.00 0.00 0.0028 268.74119 0.00 0.00 0.00 -1.0029 -268.74119 0.00 0.00 -0.43 0.1730 268.74119 0.00 -1.33 0.17 -0.0731 -134.370595 -0.48 0.13 0.00 0.0032 134.370595 0.13 -0.03 0.00 0.0033 -217.175677 0.00 0.00 0.00 0.0034 Q34 0.00 0.00 0.00 0.0035 Q35 -0.53 0.00 0.00 0.0036 Q36 0.00 0.00 0.00 0.00
Calculo de desplazamientos de los nudos
[8 )]= [8 _11 _12 _21 _22 )][8 )](_@_ ( & @ & (_@_
=AE
= _11 ]_ [^(1) _
-
D1 1.40 -4.06 1.61 -2.92D2 0.17 24.10 -2.71 17.87D3 1.11 -5.93 2.80 -3.74D4 0.09 18.02 -1.57 25.47D5 0.88 -6.10 2.23 -5.66D6 0.00 9.07 -0.75 13.46D7 0.68 -5.24 1.73 -5.43D8 0.01 0.45 0.00 0.85D9 0.53 -3.85 1.33 -3.93D10 0.73 -6.43 1.98 -6.66D11 0.41 -2.69 0.99 -2.68D12 0.99 -8.99 2.70 -9.53D13 0.33 -1.92 0.76 -1.84D14 0.75 -6.90 2.05 -7.37D15 0.43 -2.88 1.05 -2.86D16 0.01 -0.08 0.02 -0.09D17 0.45 -3.01 1.10 -2.99D18 0.76 -6.99 2.08 -7.45D19 0.35 -2.10 0.83 -1.99D20 1.00 -9.07 2.72 -9.62D21 0.17 -0.33 0.32 -0.07D22 0.74 -6.51 2.00 -6.75D23 0.35 0.39 0.54 1.25D24 0.06 0.41 0.10 0.92D25 0.63 -0.92 1.14 -0.02D26 -0.01 8.71 -0.77 12.70D27 0.86 -3.01 1.68 -2.80D28 0.08 17.65 -1.59 24.70D29 1.05 -5.78 2.19 -5.31D30 0.16 23.74 -2.73 18.11D31 1.21 -6.38 2.07 -5.19D32 -0.01 0.39 -0.02 0.23D33 0.33 -1.92 0.76 -1.84
Calculo de reacciones
Q34 0.00 0.00 0.00Q35 -0.53 0.00 0.00Q36 0.00 0.00 0.00
= _11 ]_ [^(1) _
=
= _21_ _
=AE
-
Esfuerzos en las barras
Barra 1
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 2
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 3
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 4
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 5
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 6
x 1 1 2
-
y 0 AE -1 0L (m) 1.875 1.875
Barra 7
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 8
x 1 1 2y 0 AE -1 0
L (m) 1.875 1.875
Barra 9
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 10
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 11
x 0.991 1 2y 0.132 AE -0.991 -0.132
L (m) 1.892 1.892
Barra 12
x 0.991 1 2y 0.132 AE -0.991 -0.132
-
L (m) 1.892 1.892
Barra 13
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 14
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 15
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 16
x 0.991 1 2y -0.132 AE -0.991 0.132
L (m) 1.892 1.892
Barra 17
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
Barra 18
x -0.966 1 2y 0.258 AE 0.9662 -0.2577
-
L (m) 1.941 1.941
Barra 19
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 20
x -0.9285 1 2y 0.3714 AE 0.9285 -0.3714
L (m) 2.0194 2.019
Barra 21
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 22
x -0.882 1 2y 0.471 AE 0.882 -0.471
L (m) 2.125 2.125
Barra 23
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 24
x -0.832 1 2y 0.555 AE 0.832 -0.555
-
L (m) 2.253 2.253
Barra 25
x 0 1 2y -1 AE 0 1
L (m) 1.5 1.500
Barra 26
x 0.832 1 2y 0.555 AE -0.832 -0.555
L (m) 2.253 2.253
Barra 27
x 0 1 2y -1 AE 0 1
L (m) 1.25 1.250
Barra 28
x 0.882 1 2y 0.471 AE -0.882 -0.471
L (m) 2.125 2.125
Barra 29
x 0 1 2y -1 AE 0 1
L (m) 1 1.000
Barra 30
x 0.928 1 2y 0.371 AE -0.928 -0.371
-
L (m) 2.019 2.019
Barra 31
x 0 1 2y -1 AE 0 1
L (m) 0.75 0.750
Barra 32
x 0.966 1 2y 0.258 AE -0.966 -0.258
L (m) 1.941 1.941
Barra 33
x 0 1 2y -1 AE 0 1
L (m) 0.5 0.500
-
0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.43 -0.20 -0.53 0.00 0.00 0.00
-0.20 0.90 0.00 0.00 0.00 0.00-0.53 0.00 1.68 0.00 -0.53 0.000.00 0.00 0.00 0.94 0.00 0.000.00 0.00 -0.53 0.00 1.43 0.200.00 0.00 0.00 0.00 0.20 0.900.00 0.00 0.00 0.00 -0.53 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 0.000.00 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 -0.37 -0.200.00 0.00 0.00 0.00 -0.20 -0.100.00 0.00 -0.31 -0.20 0.00 0.000.00 0.00 -0.20 -0.14 0.00 -0.800.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 -0.67 0.00 0.000.00 0.00 -0.31 0.20 0.00 0.000.00 -0.80 0.20 -0.14 0.00 0.00
-0.37 0.20 0.00 0.00 0.00 0.000.20 -0.10 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 0.000.00 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 0.00
-
1.52 -1.41 1.25 -0.07 0.90 1.10-3.67 8.89 -3.49 0.62 -2.64 -3.482.41 -1.68 1.90 -0.04 1.36 1.69
-4.15 13.41 -4.46 1.10 -3.39 -4.283.43 -2.44 2.67 -0.04 1.92 2.44
-1.87 13.33 -3.22 1.39 -2.47 -2.642.66 -3.50 3.51 -0.06 2.54 3.28
-0.01 1.20 -0.03 1.49 -0.04 1.212.01 -2.52 2.62 -0.09 3.32 1.993.16 -3.87 4.30 1.25 3.19 12.891.47 -1.70 1.88 -0.11 2.41 0.924.31 -5.90 5.87 0.93 5.83 12.961.11 -1.16 1.39 -0.12 1.80 0.203.28 -4.65 4.47 0.51 4.82 8.711.57 -1.78 2.02 0.00 2.40 1.710.04 -0.06 0.05 0.00 0.06 0.081.64 -1.84 2.11 0.05 2.41 2.143.32 -4.71 4.53 0.51 4.88 8.791.22 -1.17 1.54 0.08 1.61 1.604.35 -5.96 5.92 0.93 5.90 13.030.40 0.11 0.42 0.10 0.14 0.103.20 -3.93 4.35 1.25 3.25 11.710.51 1.18 0.34 0.01 0.11 -0.620.10 1.28 0.08 1.47 0.04 1.351.31 0.10 1.28 -0.10 0.85 0.58
-1.90 12.18 -3.25 1.40 -2.49 -2.672.09 -1.91 1.89 -0.17 1.33 1.40
-4.17 13.52 -4.49 1.11 -3.41 -4.322.43 -2.83 2.13 -0.19 1.53 1.79
-3.70 8.99 -3.52 0.63 -2.66 -3.512.20 -2.66 1.91 -0.17 1.38 1.66
-0.03 0.11 -0.03 0.01 -0.02 -0.031.11 -1.16 1.39 -0.12 1.80 0.20
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 0.00
-
3 4 0.001 0 0.00 -2257.65
-4233.1016980.37
3 4 -4233.101 0 16980.37 -945.65
-6006.1819382.53
3 4 -6006.181 0 19382.53 -807.83
-7520.8612460.89
3 4 -7520.861 0 12460.89 -268.28
-8023.89515.65
3 4 -8023.891 0 515.65 696.90
-6717.21-11431.92
3 4 -6717.21
1/ =
1/ =
1/ =
1/ =
1/ =
1/
-
1 0 -11431.92 789.30-5237.27-16920.00
3 4 -5237.271 0 -16920.00 616.97
-4080.45-13858.05
3 4 -4080.451 0 -13858.05 -217.18
-4487.650.00
3 4 -6893.600.991 0.132 249.45 1008.11
-7220.5617153.68
3 4 -7220.560.991 0.132 17153.68 1141.17
-5331.3919327.41
3 4 -5331.390.991 0.132 19327.41 868.75
-2710.2612101.19
3 4 -2710.260.991 0.132 12101.19 393.40
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-464.81882.04
3 4 -464.810.991 -0.132 882.04 662.74
-831.52-11370.32
3 4 -831.520.991 -0.132 -11370.32 -1270.58
-4005.67-16988.93
3 4 -4005.670.991 -0.132 -16988.93 -1247.01
-5991.63-14024.88
3 4 -5991.630.991 -0.132 -14024.88 -956.33
-5980.25-232.10
3 4 -6893.600 -1 249.45 498.90
0.000.00
3 4 -4233.10-0.9662 0.2577 16980.37 -896.95
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-6893.60249.45
3 4 -7220.560 -1 17153.68 231.07
-4233.1016980.37
3 4 -6006.18-0.9285 0.3714 19382.53 148.44
-7220.5617153.68
3 4 -5331.390 -1 19327.41 -55.13
-6006.1819382.53
3 4 -7520.86-0.882 0.471 12460.89 613.18
-5331.3919327.41
3 4 -2710.260 -1 12101.19 -287.76
-7520.8612460.89
3 4 -8023.89-0.832 0.555 515.65 891.71
1/ =
1/ =
1/ =
1/ =
1/ =
1/ =
-
-2710.2612101.19
3 4 -464.810 -1 882.04 244.26
-8023.89515.65
3 4 -8023.890.832 0.555 515.65 -271.93
-831.52-11370.32
3 4 -831.520 -1 -11370.32 49.28
-6717.21-11431.92
3 4 -6717.210.882 0.471 -11431.92 -106.25
-4005.67-16988.93
3 4 -4005.670 -1 -16988.93 -68.93
-5237.27-16920.00
3 4 -5237.270.928 0.371 -16920.00 185.26
1/ =
1/ =
1/ =1/
1/ =1/
1/ =1/
1/ =1/
-
-5991.63-14024.88
3 4 -5991.630 -1 -14024.88 -222.44
-4080.45-13858.05
3 4 -4080.450.966 0.258 -13858.05 865.68
-5980.25-232.10
3 4 -5980.250 -1 -232.10 -464.19
-4487.650.00
1/ =1/
1/ =1/
1/ =1/
-
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 0.000.00 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 0.00
-0.53 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.001.49 0.17 -0.53 0.00 0.00 0.000.17 1.07 0.00 0.00 0.00 0.00
-0.53 0.00 1.55 0.13 -0.48 -0.130.00 0.00 0.13 1.37 -0.13 -0.030.00 0.00 -0.48 -0.13 1.00 0.060.00 0.00 -0.13 -0.03 0.06 2.04
-0.43 -0.17 0.00 0.00 -0.52 0.07-0.17 -0.07 0.00 -1.33 0.07 -0.010.00 0.00 0.00 0.00 0.00 0.000.00 -1.00 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 0.000.00 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 0.000.00 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 -0.53 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 -2.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.61 1.91 0.42 1.56 0.61 0.02-1.93 -5.21 -1.46 -4.08 -2.01 -0.050.92 2.94 0.62 2.40 0.92 0.03
-2.50 -6.48 -1.91 -5.10 -2.59 -0.061.30 4.15 0.89 3.36 1.32 0.04
-1.83 -4.32 -1.41 -3.48 -1.86 -0.041.74 5.46 1.20 4.41 1.77 0.06
-0.06 0.86 -0.07 0.46 0.04 0.002.35 5.31 1.69 4.69 2.20 0.072.26 12.35 1.65 8.10 3.11 0.073.16 2.84 2.41 3.75 2.56 0.083.46 24.24 1.88 17.06 4.63 0.172.46 1.19 3.52 0.79 2.81 0.093.93 17.26 1.00 23.78 4.00 0.312.71 3.92 2.91 3.75 4.13 0.040.08 0.18 0.08 0.32 0.04 0.502.51 4.53 2.26 3.78 2.98 0.034.00 17.44 1.08 23.35 3.97 0.311.36 2.78 1.19 1.92 1.51 0.023.54 23.41 1.96 16.62 4.60 0.17
-0.10 1.04 -0.26 1.02 -0.17 0.022.34 11.53 1.73 7.67 3.08 0.07
-0.09 0.39 -0.22 0.60 -0.21 0.010.01 1.02 -0.01 0.57 0.12 0.000.49 1.85 0.25 1.68 0.42 0.03
-1.85 -4.36 -1.43 -3.50 -1.88 -0.050.87 2.81 0.56 2.37 0.84 0.03
-2.52 -6.52 -1.92 -5.13 -2.61 -0.061.04 3.21 0.71 2.63 1.04 0.04
-1.95 -5.24 -1.47 -4.11 -2.03 -0.050.95 2.89 0.65 2.35 0.95 0.03
-0.02 -0.04 -0.01 -0.03 -0.02 0.002.46 1.19 3.52 0.79 2.81 0.09
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 0.00
-
Barras Fuerzas1 -2257.652 -945.653 -807.834 -268.285 696.906 789.307 616.978 -217.189 1008.1110 1141.1711 868.7512 393.4013 662.7414 -1270.5815 -1247.0116 -956.3317 498.9018 -896.9519 231.0720 148.4421 -55.1322 613.1823 -287.7624 891.7125 244.2626 -271.9327 49.2828 -106.2529 -68.9330 185.2631 -222.4432 865.6833 -464.19
-
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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 -0.31 -0.200.00 0.00 0.00 0.00 -0.20 -0.140.00 0.00 -0.37 -0.20 0.00 0.000.00 0.00 -0.20 -0.10 0.00 -0.80
-0.43 -0.17 0.00 0.00 0.00 0.00-0.17 -0.07 0.00 -1.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.000.00 -1.33 0.00 0.00 0.00 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01 0.00 0.00 0.00 0.001.47 0.03 -0.52 0.07 0.00 0.000.03 1.42 0.07 -0.01 0.00 0.00
-0.52 0.07 1.41 0.06 -0.52 0.070.07 -0.01 0.06 1.12 0.07 -0.010.00 0.00 0.52 -0.07 1.35 0.070.00 0.00 -0.07 0.01 0.07 0.960.00 0.00 0.00 0.00 -0.52 0.070.00 0.00 0.00 0.00 0.07 -0.010.00 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 0.000.00 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 0.000.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.00 0.00
-
0.62 1.58 0.37 1.93 0.39 1.12-2.07 -4.13 -1.49 -5.26 -0.56 -3.530.94 2.43 0.55 2.97 0.62 1.72
-2.66 -5.16 -1.93 -6.55 -0.63 -4.351.34 3.41 0.81 4.19 0.84 2.48
-1.89 -3.52 -1.36 -4.37 -0.36 -2.681.80 4.46 1.12 5.52 1.06 3.340.10 0.46 0.14 0.86 0.16 1.212.16 4.76 1.23 5.38 0.96 2.063.55 8.16 3.17 12.42 1.19 11.702.30 3.83 1.02 2.92 0.89 1.005.28 17.22 3.67 23.41 1.11 12.132.08 0.87 0.88 1.27 0.83 0.294.06 23.34 2.28 16.83 0.72 8.282.91 3.73 1.32 3.89 0.97 1.690.02 0.32 0.02 0.18 0.01 0.083.22 3.80 1.48 4.45 1.01 2.074.08 23.66 2.29 17.00 0.72 8.351.59 1.94 1.45 2.80 0.98 1.495.20 16.79 3.68 23.58 1.11 12.20
-0.20 1.03 -0.44 1.06 0.89 0.123.48 7.73 3.05 11.59 1.19 11.78
-0.26 0.61 -0.49 0.40 0.70 -0.600.18 0.57 0.20 1.02 0.15 1.350.40 1.70 0.05 1.88 0.72 0.61
-1.91 -3.55 -1.38 -4.41 -0.36 -2.720.84 2.40 0.43 2.85 0.71 1.43
-2.68 -5.19 -1.94 -6.59 -0.62 -4.381.05 2.67 0.62 3.24 0.67 1.83
-2.09 -4.16 -1.50 -5.30 -0.56 -3.570.96 2.38 0.59 2.92 0.57 1.69
-0.02 -0.03 -0.02 -0.04 0.00 -0.032.08 0.87 0.88 1.27 0.83 0.29
-2.00 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 0.00
-
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 -1.000.00 0.00 0.00 0.00 -0.37 0.200.00 0.00 0.00 -0.80 0.20 -0.100.00 0.00 -0.31 0.20 0.00 0.000.00 0.00 0.20 -0.14 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 0.000.00 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 0.000.00 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 0.00
-0.52 0.07 0.00 0.00 0.00 0.000.07 -0.01
![Analisis Energetico[2]](https://static.fdocuments.ec/doc/165x107/558a9295d8b42a38568b4601/analisis-energetico2.jpg)
