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Armadura Completa Pratt - Metodo Rigideces
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EJEMPLO
UNIDADES DE LONGITUD m
UNIDADES DE FUERZA kg
COORDENADAS CONECTIVIDAD PROPIEDADES FUERZAS F ELEMENTO FUERZA AXIAL2 2 3 3 4 NUDO X Y ELEMENTO i j AREA ELASTICIDAD L SENO θ COSENO θ
1 - - 1 1 2 5.00E-04 2.00E+10 8.49 0.71 0.71 6.00 6.00 1 ? 1 - 1 -212.13
2 6.00 6.00 2 2 3 5.00E-04 2.00E+10 6.00 - 1.00 6.00 - 2 ? 2 - 2 -150.00
3 12.00 6.00 3 3 4 5.00E-04 2.00E+10 6.00 - 1.00 6.00 - 3 - 3 ? 3 -150.00
4 18.00 6.00 4 4 5 5.00E-04 2.00E+10 8.49 -0.71 0.71 6.00 -6.00 4 - 4 ? 4 -212.13
5 24.00 - 5 4 6 5.00E-04 2.00E+10 6.00 -1.00 - - -6.00 5 - 5 ? 5 150.00
6.00 1 8 6 4 6 18.00 - 6 3 6 5.00E-04 2.00E+10 8.49 -0.71 0.71 6.00 -6.00 6 - 6 ? 6 -70.71
9 7 5 7 12.00 - 7 3 7 5.00E-04 2.00E+10 6.00 -1.00 - - -6.00 7 - 7 ? 7 100.00
8 6.00 - 8 3 8 5.00E-04 2.00E+10 8.49 -0.71 -0.71 -6.00 -6.00 8 - 8 ? 8 -70.71
9 2 8 5.00E-04 2.00E+10 6.00 -1.00 - - -6.00 9 - 9 ? 9 150.00
10 1 8 5.00E-04 2.00E+10 6.00 - 1.00 6.00 - 10 ? 10 - 10 150.00
11 7 8 5.00E-04 2.00E+10 6.00 - -1.00 -6.00 - 11 - 11 ? 11 200.00
12 6 7 5.00E-04 2.00E+10 6.00 - -1.00 -6.00 - 12 -100.00 12 ? 12 200.00
1 10 8 11 7 12 6 13 5 13 5 6 5.00E-04 2.00E+10 6.00 - -1.00 -6.00 - 13 - 13 ? 13 150.00
14 -100.00 14 ?
100 100 100 15 - 15 ?
24.00 16 -100.00 16 ?
NUDO i ELEMENTO A E L S C AE/L NUDO i ELEMENTO A E L S C AE/L
1 1 5.00E-04 2.00E+10 8.49E+00 7.07E-01 7.07E-01 1.18E+06 2 2 5.00E-04 2.00E+10 6.00E+00 0.00E+00 1.00E+00 1.67E+06 3 3 5.00E-04 2.00E+10 6.00E+00 0.00E+00 1.00E+00 1.67E+06 4 4 5.00E-04 2.00E+10 8.49E+00 -7.07E-01 7.07E-01 1.18E+06
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05
2 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05
3 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 3 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05
4 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 1 1 1
2 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 2 2 2
3 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 3 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 3 3
4 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 4
5 5 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 5 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 5
6 6 0.00E+00 0.00E+00 0.00E+00 0.00E+00 6 0.00E+00 0.00E+00 0.00E+00 0.00E+00 6
7 7 7 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 7 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05
8 8 8 0.00E+00 0.00E+00 0.00E+00 0.00E+00 8 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05
9 9 9 9 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05
10 10 10 10 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05
11 11 11 11
12 12 12 12
13 13 13 13
14 14 14 14
15 15 15 15
16 16 16 16
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10
MATRIZ DE RIGIDEZ K - GLOBAL K
1 2.26E+06 5.89E+05 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 2.26E+06 5.89E+05 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
2 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 2.26E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06
3 -5.89E+05 -5.89E+05 2.26E+06 5.89E+05 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 4.51E+06 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 -5.89E+05 -5.89E+05
4 -5.89E+05 -5.89E+05 5.89E+05 2.26E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 2.85E+06 0.00E+00 0.00E+00 0.00E+00 5.89E+05 -5.89E+05 0.00E+00 -1.67E+06 -5.89E+05 -5.89E+05
5 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 4.51E+06 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 2.26E+06 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
6 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2.85E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 -5.89E+05 0.00E+00 -1.67E+06 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 2.26E+06 5.89E+05 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00
7 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 2.26E+06 -5.89E+05 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 2.26E+06 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
8 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 2.26E+06 5.89E+05 -5.89E+05 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 -1.67E+06 3.92E+06 -5.89E+05 -1.67E+06 0.00E+00 0.00E+00 0.00E+00
9 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 2.26E+06 -5.89E+05 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 -5.89E+05 0.00E+00 -1.67E+06 0.00E+00 -5.89E+05 2.26E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00
10 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 3.33E+06 0.00E+00 -1.67E+06 0.00E+00
11 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 5.89E+05 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 3.92E+06 -5.89E+05 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 1.67E+06 0.00E+00 0.00E+00
12 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 -5.89E+05 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 -5.89E+05 2.26E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 3.92E+06 5.89E+05
13 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 3.33E+06 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 -1.67E+06 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 2.26E+06
14 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 1.67E+06 0.00E+00 0.00E+00
15 -1.67E+06 0.00E+00 0.00E+00 0.00E+00 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 0.00E+00 3.92E+06 5.89E+05
16 0.00E+00 0.00E+00 0.00E+00 -1.67E+06 -5.89E+05 -5.89E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5.89E+05 2.26E+06
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1 1.55E-06 -1.13E-06 1.10E-06 -1.20E-06 9.49E-07 -6.75E-07 1.20E-06 1.05E-06 -8.25E-07 7.50E-07 -1.20E-06 4.50E-07 -9.75E-07
2 -1.13E-06 2.40E-06 -6.75E-07 2.05E-06 -5.25E-07 1.10E-06 -1.20E-06 -1.05E-06 1.25E-06 -7.50E-07 2.05E-06 -4.50E-07 2.25E-06
3 1.55E-06 -1.13E-06 1.10E-06 -1.20E-06 9.49E-07 -6.75E-07 1.20E-06 1.05E-06 -8.25E-07 7.50E-07 -1.20E-06 4.50E-07 -9.75E-07 1.10E-06 -6.75E-07 1.25E-06 -9.00E-07 1.10E-06 -5.25E-07 1.20E-06 1.05E-06 -6.75E-07 7.50E-07 -9.00E-07 4.50E-07 -5.25E-07
4 -1.13E-06 2.40E-06 -6.75E-07 2.05E-06 -5.25E-07 1.10E-06 -1.20E-06 -1.05E-06 1.25E-06 -7.50E-07 2.05E-06 -4.50E-07 2.25E-06 -1.20E-06 2.05E-06 -9.00E-07 3.80E-06 -6.00E-07 2.05E-06 -1.80E-06 -1.50E-06 2.35E-06 -9.00E-07 3.80E-06 -3.00E-07 2.35E-06
5 1.10E-06 -6.75E-07 1.25E-06 -9.00E-07 1.10E-06 -5.25E-07 1.20E-06 1.05E-06 -6.75E-07 7.50E-07 -9.00E-07 4.50E-07 -5.25E-07 9.49E-07 -5.25E-07 1.10E-06 -6.00E-07 1.55E-06 -7.50E-08 1.20E-06 1.05E-06 -2.25E-07 7.50E-07 -6.00E-07 4.50E-07 -3.75E-07
6 -1.20E-06 2.05E-06 -9.00E-07 3.80E-06 -6.00E-07 2.05E-06 -1.80E-06 -1.50E-06 2.35E-06 -9.00E-07 3.80E-06 -3.00E-07 2.35E-06 -6.75E-07 1.10E-06 -5.25E-07 2.05E-06 -7.50E-08 2.40E-06 -1.20E-06 -7.50E-07 2.25E-06 -4.50E-07 2.05E-06 -1.50E-07 1.25E-06
7 9.49E-07 -5.25E-07 1.10E-06 -6.00E-07 1.55E-06 -7.50E-08 1.20E-06 1.05E-06 -2.25E-07 7.50E-07 -6.00E-07 4.50E-07 -3.75E-07 1.20E-06 -1.20E-06 1.20E-06 -1.80E-06 1.20E-06 -1.20E-06 2.40E-06 1.80E-06 -1.20E-06 1.20E-06 -1.80E-06 6.00E-07 -1.20E-06
8 -6.75E-07 1.10E-06 -5.25E-07 2.05E-06 -7.50E-08 2.40E-06 -1.20E-06 -7.50E-07 2.25E-06 -4.50E-07 2.05E-06 -1.50E-07 1.25E-06 1.05E-06 -1.05E-06 1.05E-06 -1.50E-06 1.05E-06 -7.50E-07 1.80E-06 1.80E-06 -7.50E-07 1.20E-06 -1.50E-06 6.00E-07 -1.05E-06
9 1.20E-06 -1.20E-06 1.20E-06 -1.80E-06 1.20E-06 -1.20E-06 2.40E-06 1.80E-06 -1.20E-06 1.20E-06 -1.80E-06 6.00E-07 -1.20E-06 -8.25E-07 1.25E-06 -6.75E-07 2.35E-06 -2.25E-07 2.25E-06 -1.20E-06 -7.50E-07 2.70E-06 -4.50E-07 2.35E-06 -1.50E-07 1.40E-06
10 7.50E-07 -7.50E-07 7.50E-07 -9.00E-07 7.50E-07 -4.50E-07 1.20E-06 1.20E-06 -4.50E-07 1.20E-06 -9.00E-07 6.00E-07 -7.50E-07
11 1.05E-06 -1.05E-06 1.05E-06 -1.50E-06 1.05E-06 -7.50E-07 1.80E-06 1.80E-06 -7.50E-07 1.20E-06 -1.50E-06 6.00E-07 -1.05E-06 -1.20E-06 2.05E-06 -9.00E-07 3.80E-06 -6.00E-07 2.05E-06 -1.80E-06 -1.50E-06 2.35E-06 -9.00E-07 4.40E-06 -3.00E-07 2.35E-06
12 -8.25E-07 1.25E-06 -6.75E-07 2.35E-06 -2.25E-07 2.25E-06 -1.20E-06 -7.50E-07 2.70E-06 -4.50E-07 2.35E-06 -1.50E-07 1.40E-06 4.50E-07 -4.50E-07 4.50E-07 -3.00E-07 4.50E-07 -1.50E-07 6.00E-07 6.00E-07 -1.50E-07 6.00E-07 -3.00E-07 6.00E-07 -4.50E-07
13 7.50E-07 -7.50E-07 7.50E-07 -9.00E-07 7.50E-07 -4.50E-07 1.20E-06 1.20E-06 -4.50E-07 1.20E-06 -9.00E-07 6.00E-07 -7.50E-07 -9.75E-07 2.25E-06 -5.25E-07 2.35E-06 -3.75E-07 1.25E-06 -1.20E-06 -1.05E-06 1.40E-06 -7.50E-07 2.35E-06 -4.50E-07 2.70E-06
14 -1.20E-06 2.05E-06 -9.00E-07 3.80E-06 -6.00E-07 2.05E-06 -1.80E-06 -1.50E-06 2.35E-06 -9.00E-07 4.40E-06 -3.00E-07 2.35E-06
15 4.50E-07 -4.50E-07 4.50E-07 -3.00E-07 4.50E-07 -1.50E-07 6.00E-07 6.00E-07 -1.50E-07 6.00E-07 -3.00E-07 6.00E-07 -4.50E-07
16 -9.75E-07 2.25E-06 -5.25E-07 2.35E-06 -3.75E-07 1.25E-06 -1.20E-06 -1.05E-06 1.40E-06 -7.50E-07 2.35E-06 -4.50E-07 2.70E-06
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
F
1 0.00E+00
2 0.00E+00
3 0.00E+00
4 0.00E+00
5 0.00E+00
6 0.00E+00
7 0.00E+00
8 0.00E+00
9 0.00E+00
10 0.00E+00
11 0.00E+00
12 -1.00E+02
13 0.00E+00
14 -1.00E+02
15 0.00E+00
16 -1.00E+02
1 0.00E+00
2 0.00E+00
3 3.00E-04
4 -5.55E-04
5 2.10E-04
6 -8.49E-04
7 1.20E-04
8 -5.55E-04
9 4.20E-04
10 0.00E+00
11 3.30E-04
12 -6.45E-04
13 2.10E-04
14 -9.09E-04
15 9.00E-05
16 -6.45E-04
1 -0.00
2 150.00
3 -
4 -
5 -
6 -
7 -0.00
8 0.00
9 -
10 150.00
11 -
12 -100.00
13 -
14 -100.00
15 -
16 -100.00
150.00 X 1 - X 1 - X 1 - X 1
150.00 Y 1 - Y 1 - Y 1 - Y 1
-150.00 X 2 150.00 X 2 - X 2 - X 2
-150.00 Y 2 - Y 2 - Y 2 - Y 2
- X 3 -150.00 X 3 150.00 X 3 - X 3
- Y 3 - Y 3 - Y 3 - Y 3
- X 4 - X 4 -150.00 X 4 150.00 X 4
- Y 4 - Y 4 - Y 4 -150.00 Y 4
- X 5 - X 5 - X 5 -150.00 X 5
- Y 5 - Y 5 - Y 5 150.00 Y 5
- X 6 - X 6 - X 6 - X 6
- Y 6 - Y 6 - Y 6 - Y 6
- X 7 - X 7 - X 7 - X 7
- Y 7 - Y 7 - Y 7 - Y 7
- X 8 - X 8 - X 8 - X 8
- Y 8 - Y 8 - Y 8 - Y 8
AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO
212.13 1 150.00 2 150.00 3 212.13 4
DESPLAZAMIENTOS ΔΔX ΔY
F X1 ∆ X1
F Y1 ∆ Y1
F X2 ∆ X2
F Y2 ∆ Y2
F X3 ∆ X3
F Y3 ∆ Y3
F X4 ∆ X4
F Y4 ∆ Y4
F X5 ∆ X5
F Y5 ∆ Y5
F X6 ∆ X6
F Y6 ∆ Y6
F X7 ∆ X7
F Y7 ∆ Y7
F X8 ∆ X8
F Y8 ∆ Y8
K -1 K -1
F X1
F Y1
F X2
F Y2
F X3
F Y3
F X4
F Y4
F X5
F Y5
F X6
F Y6
F X7
F Y7
F X8
F Y8
∆ = K -1 F
u1
v1
u2
v2
u3
v3
u4
v4
u5
v5
u6
v6
u7
v7
u8
v8
X = K ∆
X1
Y1
X2
Y2
X3
Y3
X4
Y4
X5
Y5
X6
Y6
X7
Y7
X8
Y8
X = K local ∆ X = K local ∆ X = K local ∆ X = K local ∆
4 5 5.00E-04 2.00E+10 6.00E+00 -1.00E+00 0.00E+00 1.67E+06
MATRIZ DE RIGIDEZ K - PARCIAL
1 0.00E+00 0.00E+00 0.00E+00 0.00E+00
2 0.00E+00 1.67E+06 0.00E+00 -1.67E+06
3 0.00E+00 0.00E+00 0.00E+00 0.00E+00
4 0.00E+00 -1.67E+06 0.00E+00 1.67E+06
1 2 3 4
MATRIZ DE RIGIDEZ K - PARCIAL
1
2
3
4
5
6
7 0.00E+00 0.00E+00 0.00E+00 0.00E+00
8 0.00E+00 1.67E+06 0.00E+00 -1.67E+06
9
10
11 0.00E+00 0.00E+00 0.00E+00 0.00E+00
12 0.00E+00 -1.67E+06 0.00E+00 1.67E+06
13
14
15
16
11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
- X 1
- Y 1
- X 2
- Y 2
- X 3
- Y 3
- X 4
150.00 Y 4
- X 5
- Y 5
- X 6
-150.00 Y 6
- X 7
- Y 7
- X 8
- Y 8
AXIAL ELEMENTO
-150.00 5
X = K local ∆
3 6 5.00E-04 2.00E+10 8.49E+00 -7.07E-01 7.07E-01 1.18E+06 3 7 5.00E-04 2.00E+10 6.00E+00 -1.00E+00 0.00E+00 1.67E+06 3 8 5.00E-04 2.00E+10 8.49E+00 -7.07E-01 -7.07E-01 1.18E+06 2 9 5.00E-04 2.00E+10 6.00E+00 -1.00E+00 0.00E+00 1.67E+06
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05 1 0.00E+00 0.00E+00 0.00E+00 0.00E+00 1 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 1 0.00E+00 0.00E+00 0.00E+00 0.00E+00
2 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05 2 0.00E+00 1.67E+06 0.00E+00 -1.67E+06 2 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 2 0.00E+00 1.67E+06 0.00E+00 -1.67E+06
3 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05 3 0.00E+00 0.00E+00 0.00E+00 0.00E+00 3 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 3 0.00E+00 0.00E+00 0.00E+00 0.00E+00
4 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05 4 0.00E+00 -1.67E+06 0.00E+00 1.67E+06 4 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 4 0.00E+00 -1.67E+06 0.00E+00 1.67E+06
1 2 3 4 1 2 3 4 1 2 3 4
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 1 1 1
2 2 2 2
3 3 3 3 0.00E+00 0.00E+00
4 4 4 4 0.00E+00 1.67E+06
5 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05 5 0.00E+00 0.00E+00 0.00E+00 0.00E+00 5 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 5
6 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05 6 0.00E+00 1.67E+06 0.00E+00 -1.67E+06 6 5.89E+05 5.89E+05 -5.89E+05 -5.89E+05 6
7 7 7 7
8 8 8 8
9 9 9 9
10 10 10 10
11 -5.89E+05 5.89E+05 5.89E+05 -5.89E+05 11 11 11
12 5.89E+05 -5.89E+05 -5.89E+05 5.89E+05 12 12 12
13 13 0.00E+00 0.00E+00 0.00E+00 0.00E+00 13 13
14 14 0.00E+00 -1.67E+06 0.00E+00 1.67E+06 14 14
15 15 15 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 15 0.00E+00 0.00E+00
16 16 16 -5.89E+05 -5.89E+05 5.89E+05 5.89E+05 16 0.00E+00 -1.67E+06
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10
- X 1 - X 1 - X 1 - X 1
- Y 1 - Y 1 - Y 1 - Y 1
- X 2 - X 2 - X 2 - X 2
- Y 2 - Y 2 - Y 2 150.00 Y 2
50.00 X 3 - X 3 -50.00 X 3 - X 3
-50.00 Y 3 100.00 Y 3 -50.00 Y 3 - Y 3
- X 4 - X 4 - X 4 - X 4
- Y 4 - Y 4 - Y 4 - Y 4
- X 5 - X 5 - X 5 - X 5
- Y 5 - Y 5 - Y 5 - Y 5
-50.00 X 6 - X 6 - X 6 - X 6
50.00 Y 6 - Y 6 - Y 6 - Y 6
- X 7 - X 7 - X 7 - X 7
- Y 7 -100.00 Y 7 - Y 7 - Y 7
- X 8 - X 8 50.00 X 8 - X 8
- Y 8 - Y 8 50.00 Y 8 -150.00 Y 8
AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO
70.71 6 -100.00 7 70.71 8 -150.00 9
X = K local ∆ X = K local ∆
1 10 5.00E-04 2.00E+10 6.00E+00 0.00E+00 1.00E+00 1.67E+06 7 11 5.00E-04 2.00E+10 6.00E+00 0.00E+00 -1.00E+00 1.67E+06 6 12 5.00E-04 2.00E+10 6.00E+00 0.00E+00 -1.00E+00 1.67E+06 5 13 5.00E-04 2.00E+10 6.00E+00 0.00E+00 -1.00E+00 1.67E+06
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00
2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 0.00E+00 0.00E+00 0.00E+00 0.00E+00
3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 3 -1.67E+06 0.00E+00 1.67E+06 0.00E+00
4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00 4 0.00E+00 0.00E+00 0.00E+00 0.00E+00
MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL
1 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 1 1 1
2 0.00E+00 0.00E+00 0.00E+00 0.00E+00 2 2 2
0.00E+00 0.00E+00 3 3 3 3
0.00E+00 -1.67E+06 4 4 4 4
5 5 5 5
6 6 6 6
7 7 7 7
8 8 8 8
9 9 9 9 1.67E+06 0.00E+00
10 10 10 10 0.00E+00 0.00E+00
11 11 11 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 11 -1.67E+06 0.00E+00
12 12 12 0.00E+00 0.00E+00 0.00E+00 0.00E+00 12 0.00E+00 0.00E+00
13 13 1.67E+06 0.00E+00 -1.67E+06 0.00E+00 13 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 13
14 14 0.00E+00 0.00E+00 0.00E+00 0.00E+00 14 0.00E+00 0.00E+00 0.00E+00 0.00E+00 14
0.00E+00 0.00E+00 15 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 15 -1.67E+06 0.00E+00 1.67E+06 0.00E+00 15 15
0.00E+00 1.67E+06 16 0.00E+00 0.00E+00 0.00E+00 0.00E+00 16 0.00E+00 0.00E+00 0.00E+00 0.00E+00 16 16
11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1 2 3 4 5 6 7 8 9 10
-150.00 X 1 - X 1 - X 1 - X 1
- Y 1 - Y 1 - Y 1 - Y 1
- X 2 - X 2 - X 2 - X 2
- Y 2 - Y 2 - Y 2 - Y 2
- X 3 - X 3 - X 3 - X 3
- Y 3 - Y 3 - Y 3 - Y 3
- X 4 - X 4 - X 4 - X 4
- Y 4 - Y 4 - Y 4 - Y 4
- X 5 - X 5 - X 5 150.00 X 5
- Y 5 - Y 5 - Y 5 - Y 5
- X 6 - X 6 200.00 X 6 -150.00 X 6
- Y 6 - Y 6 - Y 6 - Y 6
- X 7 200.00 X 7 -200.00 X 7 - X 7
- Y 7 - Y 7 - Y 7 - Y 7
150.00 X 8 -200.00 X 8 - X 8 - X 8
- Y 8 - Y 8 - Y 8 - Y 8
AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO AXIAL ELEMENTO
-150.00 10 -200.00 11 -200.00 12 -150.00 13
-1.67E+06 0.00E+00
0.00E+00 0.00E+00
1.67E+06 0.00E+00
0.00E+00 0.00E+00
11 12 13 14 15 16
