Ejercicio Analisis 2 (2)
31
EJERCICIO 1 ELEMENTO 1 L 5.6568542495 M E 2.00E+08 KN/M2 A 0.0125 M2 I 3.38542E-005 M4 ø 45 grados 0.78539816 radianes AE/L 4.42E+05 4.49E+02 1.27E+03 4EI/L 4.79E+03 2EI/L 2.39E+03 0.7071067812 0.7071067812 u1 v1 ø1 u2 v2 2.21E+05 220746.446 -897.694156 -2.21E+05 -220746.446 220746.44558 2.21E+05 897.694156 -220746.446 -2.21E+05 -897.6941558 897.694156 4.79E+03 897.694156 -897.694156 -2.21E+05 -220746.446 897.694156 221195.293 220746.446 -220746.4456 -2.21E+05 -897.694156 220746.446 2.21E+05 -897.6941558 897.694156 2.39E+03 897.694156 -897.694156 ENSAMBLANDO LA MATRIZ DEL SISTEMA u1 v1 ø1 X1 X1 2.21E+05 2.21E+05 -8.98E+02 Y1 Y1 2.21E+05 2.21E+05 8.98E+02 M1 M1 -8.98E+02 8.98E+02 4.79E+03 X2 0 -2.21E+05 -2.21E+05 8.98E+02 Y2 0 = -2.21E+05 -2.21E+05 -8.98E+02 M2 0 -8.98E+02 8.98E+02 2.39E+03 X3 X3 Y3 Y3 M3 M3 ORDENANDO EL SISTEMA MATRICIAL u2 v2 ø2 0 8.46E+05 2.21E+05 8.98E+02 0 2.21E+05 2.22E+05 1.64E+03 0 8.98E+02 1.64E+03 1.16E+04 X1 -2.21E+05 -2.21E+05 -8.98E+02 Y1 = -2.21E+05 -2.21E+05 8.98E+02 12EI/L 3 6EI/L 2 SEN ø COS ø
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METODE DELA RIGIDEZ
Transcript of Ejercicio Analisis 2 (2)
EJERCICIO 1
ELEMENTO 1
L 5.6568542495 ME 2.00E+08 KN/M2A 0.0125 M2I 3.38542E-005 M4ø 45 grados 0.78539816 radianes
AE/L 4.42E+05
4.49E+02
1.27E+034EI/L 4.79E+032EI/L 2.39E+03
0.70710678120.7071067812
u1 v1 ø1 u2 v22.21E+05 220746.446 -897.694156 -2.21E+05 -220746.446
220746.44558 2.21E+05 897.694156 -220746.446 -2.21E+05-897.6941558 897.694156 4.79E+03 897.694156 -897.694156
-2.21E+05 -220746.446 897.694156 221195.293 220746.446-220746.4456 -2.21E+05 -897.694156 220746.446 2.21E+05-897.6941558 897.694156 2.39E+03 897.694156 -897.694156
ENSAMBLANDO LA MATRIZ DEL SISTEMA
u1 v1 ø1X1 X1 2.21E+05 2.21E+05 -8.98E+02Y1 Y1 2.21E+05 2.21E+05 8.98E+02M1 M1 -8.98E+02 8.98E+02 4.79E+03X2 0 -2.21E+05 -2.21E+05 8.98E+02Y2 0 = -2.21E+05 -2.21E+05 -8.98E+02M2 0 -8.98E+02 8.98E+02 2.39E+03X3 X3Y3 Y3M3 M3
ORDENANDO EL SISTEMA MATRICIALu2 v2 ø2
0 8.46E+05 2.21E+05 8.98E+020 2.21E+05 2.22E+05 1.64E+030 8.98E+02 1.64E+03 1.16E+04
X1 -2.21E+05 -2.21E+05 -8.98E+02Y1 = -2.21E+05 -2.21E+05 8.98E+02
12EI/L3
6EI/L2
SEN øCOS ø
M1 8.98E+02 -8.98E+02 2.39E+03X3 -6.25E+05 0.00E+00 0.00E+00Y3 0.00E+00 -1.27E+03 -2.54E+03M3 0.00E+00 2.54E+03 3.39E+03
RESOLVIENDO EL SISTEMA, ENCONTRAMOS LAS DEFORMACIONES
INVERSA DE ESTA MATRIZu2 8.46E+05 2.21E+05 8.98E+02v2 = 2.21E+05 2.22E+05 1.64E+03ø2 8.98E+02 1.64E+03 1.16E+04
CALCULO DE REACCIONES
X3 -2.21E+05 -2.21E+05 -8.98E+02Y3 -2.21E+05 -2.21E+05 8.98E+02M3 = 8.98E+02 -8.98E+02 2.39E+030 -6.25E+05 0.00E+00 0.00E+000 0.00E+00 -1.27E+03 -2.54E+03u2 0.00E+00 2.54E+03 3.39E+03
ELEMENTO 2
L 4 ME 2.00E+08 KN/M2A 0.0125 M2I 3.385417E-005 M4ø 0 grados 0
AE/L 6.25E+05
1.27E+03
2.54E+034EI/L 6.77E+032EI/L 3.39E+03
01
ø2 u2 v2 ø2-897.694156 u1 6.25E+05 0 0897.694156 v1 0 1.27E+03 2539.0625
2.39E+03 ø1 0 2539.0625 6.77E+03897.694156 u2 -6.25E+05 0 0
-897.694156 v2 0 -1.27E+03 -2539.06254.79E+03 ø2 0 2539.0625 3.39E+03
u2 v2 ø2 u3 v3 ø3-2.21E+05 -2.21E+05 -8.98E+02-2.21E+05 -2.21E+05 8.98E+028.98E+02 -8.98E+02 2.39E+038.46E+05 2.21E+05 8.98E+02 -6.25E+05 0.00E+00 0.00E+002.21E+05 2.22E+05 1.64E+03 0.00E+00 -1.27E+03 2.54E+038.98E+02 1.64E+03 1.16E+04 0.00E+00 -2.54E+03 3.39E+03
-6.25E+05 0.00E+00 0.00E+00 6.25E+05 0.00E+00 0.00E+000.00E+00 -1.27E+03 -2.54E+03 0.00E+00 1.27E+03 -2.54E+030.00E+00 2.54E+03 3.39E+03 0.00E+00 -2.54E+03 6.77E+03
u2 u2 X2F -3.53553391v2 v2 Y2F 13.5355339ø2 ø2 M2F -0.40440115u1 0 X1F -3.53553391v1 0 + Y1F 3.53553391
12EI/L3
6EI/L2
SEN øCOS ø
ø1 0 M1F 7.07106781u3 0 X3F 0v3 0 Y3F 10ø3 0 M3F -6.66666667
3.5355339059 2.710610E-005* -13.53553391 = -8.807509E-005
0.4044011452 4.538913E-005
2.71061E-005 -3.5355339059 9.870* -8.80751E-005 + 3.5355339059 17.074
4.53891E-005 7.0710678119 7.2830 = -16.941
10 9.997-6.6666666667 -6.737
radianes
u3 v3 ø3-6.25E+05 0 0 u2
0 -1.27E+03 2539.0625 v20 -2539.0625 3.39E+03 ø2
625000 0 0 u30 1.27E+03 -2539.0625 v30 -2539.0625 6.77E+03 ø3
u1 0 X1F -3.53553391v1 0 Y1F 3.53553391ø1 0 M1F 7.07106781u2 u2 X2F -3.53553391v2 v2 + Y2F 13.5355339ø2 ø2 M2F -0.40440115u3 0 X3F 0v3 0 Y3F 10ø3 0 M3F -6.66666667
EJERCICIO 1
ELEMENTO 1 - VIGA
L 6 ME 2.50E+07 KN/M2A 0.15 M2I 0.003125 M4ø 0 grados 0 radianes
AE/L 6.25E+05
4.34E+03
1.30E+044EI/L 5.21E+042EI/L 2.60E+04
01
u1 v1 ø1 u2 v26.25E+05 0 0 -6.25E+05 0
0 4.34E+03 13020.8333 0 -4.34E+030 13020.8333 5.21E+04 0 -13020.8333
-6.25E+05 0 0 625000 00 -4.34E+03 -13020.8333 0 4.34E+030 13020.8333 2.60E+04 0 -13020.8333
ENSAMBLANDO LA MATRIZ DEL SISTEMA
u1 v1 ø1X1 20 6.49E+05 2.41E-10 3.56E+04Y1 0 2.41E-10 1.34E+06 1.30E+04M1 0 3.56E+04 1.30E+04 1.23E+05X2 0 -6.25E+05 0.00E+00 0.00E+00Y2 0 0.00E+00 -4.34E+03 -1.30E+04M2 0 0.00E+00 1.30E+04 2.60E+04X3 0Y3 -20M3 -20 =X4 X4 -2.37E+04 -2.41E-10 -3.56E+04Y4 Y4 -2.41E-10 -1.33E+06 6.53E-12M4 M4 3.56E+04 -6.53E-12 3.56E+04X5 X5Y5 Y5M5 M5X6 X6Y6 Y6
12EI/L3
6EI/L2
SEN øCOS ø
M6 M6
RESOLVIENDO EL SISTEMA, ENCONTRAMOS LAS DEFORMACIONES
INVERSA DE ESTA MATRIZu1 6.49E+05 2.41E-10 3.56E+04v1 2.41E-10 1.34E+06 1.30E+04ø1 3.56E+04 1.30E+04 1.23E+05u2 -6.25E+05 0.00E+00 0.00E+00v2 = 0.00E+00 -4.34E+03 -1.30E+04ø2 0.00E+00 1.30E+04 2.60E+04u3 0.00E+00 0.00E+00 0.00E+00v3 0.00E+00 0.00E+00 0.00E+00ø3 0.00E+00 0.00E+00 0.00E+00
CALCULO DE REACCIONES
X4 -2.37E+04 -2.41E-10 -3.56E+04Y4 -2.41E-10 -1.33E+06 6.53E-12M4 = 3.56E+04 -6.53E-12 3.56E+04X5 0.00E+00 0.00E+00 0.00E+00Y5 0.00E+00 0.00E+00 0.00E+00M5 0.00E+00 0.00E+00 0.00E+00X6 0.00E+00 0.00E+00 0.00E+00Y6 0.00E+00 0.00E+00 0.00E+00M6 0.00E+00 0.00E+00 0.00E+00
ELEMENTO 2 - VIGA
L 6 ME 2.50E+07 KN/M2A 0.15 M2I 0.003125 M4ø 0 grados 0
AE/L 6.25E+05
4.34E+03
1.30E+044EI/L 5.21E+042EI/L 2.60E+04
01
ø2 u2 v2 ø20 u1 6.25E+05 0 0
13020.8333 v1 0 4.34E+03 13020.83332.60E+04 ø1 0 13020.8333 5.21E+04
0 u2 -6.25E+05 0 0-13020.8333 v2 0 -4.34E+03 -13020.8333
5.21E+04 ø2 0 13020.8333 2.60E+04
u2 v2 ø2 u3 v3 ø3-6.25E+05 0.00E+00 0.00E+000.00E+00 -4.34E+03 1.30E+040.00E+00 -1.30E+04 2.60E+041.27E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+002.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04
3.56E+04 -6.53E-12 1.75E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+040.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+040.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05
-2.37E+04 -2.41E-10 -3.56E+04-2.41E-10 -1.33E+06 6.53E-123.56E+04 -6.53E-12 3.56E+04
-2.37E+04 -2.41E-10 -3.56E+04-2.41E-10 -1.33E+06 6.53E-12
12EI/L3
6EI/L2
SEN øCOS ø
3.56E+04 -6.53E-12 3.56E+04
INVERSA DE ESTA MATRIZ-6.25E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+000.00E+00 -4.34E+03 1.30E+04 0.00E+00 0.00E+00 0.00E+000.00E+00 -1.30E+04 2.60E+04 0.00E+00 0.00E+00 0.00E+001.27E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+002.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04
3.56E+04 -6.53E-12 1.75E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+040.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+040.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05
0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+000.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+000.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00
-2.37E+04 -2.41E-10 -3.56E+04 0.00E+00 0.00E+00 0.00E+00-2.41E-10 -1.33E+06 6.53E-12 0.00E+00 0.00E+00 0.00E+003.56E+04 -6.53E-12 3.56E+04 0.00E+00 0.00E+00 0.00E+000.00E+00 0.00E+00 0.00E+00 -2.37E+04 -2.41E-10 -3.56E+040.00E+00 0.00E+00 0.00E+00 -2.41E-10 -1.33E+06 6.53E-120.00E+00 0.00E+00 0.00E+00 3.56E+04 -6.53E-12 3.56E+04
ELEMENTO 3 - COLUMNA
L 3E 2.50E+07A 0.16I 0.00213333
radianes ø 270
AE/L 1.33E+06
2.37E+04
3.56E+044EI/L 7.11E+042EI/L 3.56E+04
-1-1.838E-016
u3 v3 ø3 u1-6.25E+05 0 0 u2 2.37E+04
0 -4.34E+03 13020.8333 v2 2.4067E-0100 -13020.8333 2.60E+04 ø2 35555.5556
625000 0 0 u3 -2.37E+040 4.34E+03 -13020.8333 v3 -2.407E-0100 -13020.8333 5.21E+04 ø3 35555.5556
u4 v4 ø4 u5 v5 ø5-2.37E+04 -2.41E-10 3.56E+04-2.41E-10 -1.33E+06 -6.53E-12
-3.56E+04 6.53E-12 3.56E+04-2.37E+04 -2.41E-10 3.56E+04-2.41E-10 -1.33E+06 -6.53E-12
-3.56E+04 6.53E-12 3.56E+04
2.37E+04 2.41E-10 -3.56E+042.41E-10 1.33E+06 6.53E-12
-3.56E+04 6.53E-12 7.11E+042.37E+04 2.41E-10 -3.56E+042.41E-10 1.33E+06 6.53E-12
-3.56E+04 6.53E-12 7.11E+04
12EI/L3
6EI/L2
SEN øCOS ø
20 #VALUE!-30 #VALUE!-30 #VALUE!
0 #VALUE!* -60 = #VALUE!
0 #VALUE!0 #VALUE!
-50 #VALUE!10 #VALUE!
0.00055612 0 #VALUE!#VALUE! 0 #VALUE!#VALUE! 0 #VALUE!#VALUE! 0 = #VALUE!
* #VALUE! + 0 #VALUE!#VALUE! 0 #VALUE!#VALUE! 0 #VALUE!#VALUE! 0 #VALUE!#VALUE! 0 #VALUE!
MKN/M2M2M4grados 4.71238898 radianes
v1 ø1 u4 v4 ø42.4067E-010 35555.5556 -2.37E+04 -2.407E-010 35555.5556 u1
1.33E+06 -6.534E-012 -2.407E-010 -1.33E+06 -6.534E-012 v1-6.534E-012 7.11E+04 -35555.5556 6.5341E-012 3.56E+04 ø1-2.407E-010 -35555.5556 23703.7037 2.4067E-010 -35555.5556 u4
-1.33E+06 6.5341E-012 2.4067E-010 1.33E+06 6.5341E-012 v4-6.534E-012 3.56E+04 -35555.5556 6.5341E-012 7.11E+04 ø4
u6 v6 ø6u1 u1v1 v1ø1 ø1u2 u2v2 v2ø2 ø2
-2.37E+04 -2.41E-10 3.56E+04 u3 u3-2.41E-10 -1.33E+06 -6.53E-12 v3 v3
-3.56E+04 6.53E-12 3.56E+04 ø3 ø3 +u4 0v4 0ø4 0u5 0v5 0ø5 0
2.37E+04 2.41E-10 -3.56E+04 u6 02.41E-10 1.33E+06 6.53E-12 v6 0
-3.56E+04 6.53E-12 7.11E+04 ø6 0
ELEMENTO 4 - COLUMNA
L 3 ME 2.50E+07 KN/M2A 0.16 M2I 0.00213333 M4ø 270 grados 4.71238898 radianes
AE/L 1.33E+06
2.37E+04
3.56E+044EI/L 7.11E+042EI/L 3.56E+04
-1-1.838E-016
u2 v2 ø2 u5 v52.37E+04 2.4067E-010 35555.5556 -2.37E+04 -2.407E-010
2.4067E-010 1.33E+06 -6.534E-012 -2.407E-010 -1.33E+0635555.5556 -6.534E-012 7.11E+04 -35555.5556 6.5341E-012
-2.37E+04 -2.407E-010 -35555.5556 23703.7037 2.4067E-010-2.407E-010 -1.33E+06 6.5341E-012 2.4067E-010 1.33E+0635555.5556 -6.534E-012 3.56E+04 -35555.5556 6.5341E-012
X1F 0Y1F 30M1F 30X2F 0Y2F 60M2F 0X3F 0Y3F 30M3F -30X4F 0Y4F 0M4F 0X5F 0Y5F 0M5F 0X6F 0Y6F 0
12EI/L3
6EI/L2
SEN øCOS ø
M6F 0
ELEMENTO 5 - COLUMNA
L 3 ME 2.50E+07 KN/M2A 0.16 M2I 0.00213333 M4ø 270 grados 4.71238898
AE/L 1.33E+06
2.37E+04
3.56E+044EI/L 7.11E+042EI/L 3.56E+04
-1-1.838E-016
ø5 u3 v3 ø335555.5556 u2 2.37E+04 2.4067E-010 35555.5556-6.534E-012 v2 2.4067E-010 1.33E+06 -6.534E-012
3.56E+04 ø2 35555.5556 -6.534E-012 7.11E+04-35555.5556 u5 -2.37E+04 -2.407E-010 -35555.55566.5341E-012 v5 -2.407E-010 -1.33E+06 6.5341E-012
7.11E+04 ø5 35555.5556 -6.534E-012 3.56E+04
12EI/L3
6EI/L2
SEN øCOS ø
radianes
u6 v6 ø6-2.37E+04 -2.407E-010 35555.5556 u3
-2.407E-010 -1.33E+06 -6.534E-012 v3-35555.5556 6.5341E-012 3.56E+04 ø323703.7037 2.4067E-010 -35555.5556 u6
2.4067E-010 1.33E+06 6.5341E-012 v6-35555.5556 6.5341E-012 7.11E+04 ø6
ELEMENTO 1-2 (Y)
J 7.13E-05 M4G 8.33E+07 KN/M2E 2.00E+08 KN/M2I 4.22E-05 M4L 5.00E+00 M
Ɵx1 Ɵy1 w1 Ɵx2 Ɵy2 w26752 0 2026 3376 0 -2026
0 1188 0 0 -1188 02026 0 810 2026 0 -8103376 0 2026 6752 0 -2026
0 -1188 0 0 1188 0-2026 0 -810 -2026 0 810
Ɵx1 Ɵy1 w1Mx1 0 7600.81 0.00 2025.60My1 0 0.00 6011.19 -1033.47
Z1 0 2025.60 -1033.47 1105.52Mx2 Mx2 3376.00 0.00 2025.60My2 My2 = 0.00 -1188.33 0.00
Z2 Z2 -2025.60 0.00 -810.24Mx3 Mx3 -848.81 0.00 0.00My3 My3 0.00 2411.43 -1033.47
Z3 Z3 0.00 1033.47 -295.28
DEFORMACIONES INVERSA DE ESTA MATRIZƟx1 7.60E+03 0.00E+00 2.03E+03Ɵy1 = 0.00E+00 6.01E+03 -1.03E+03w1 2.03E+03 -1.03E+03 1.11E+03
REACCIONESMx2 3.38E+03 0.00E+00 2.03E+03My2 0.00E+00 -1.19E+03 0.00E+00Z2 = -2.03E+03 0.00E+00 -8.10E+02
Mx3 -8.49E+02 0.00E+00 0.00E+00My3 0.00E+00 2.41E+03 -1.03E+03Z3 0.00E+00 1.03E+03 -2.95E+02
ELEMENTO 1-3 (X)
J 7.13E-05 M4G 8.33E+07 KN/M2E 2.00E+08 KN/M2I 4.22E-05 M4L 7.00E+00 M
Ɵx1 Ɵy1 w1 Ɵx3Ɵx1 849 0 0 -849Ɵy1 0 4823 -1033 0w1 0 -1033 295 0Ɵx2 -849 0 0 849Ɵy2 0 2411 -1033 0w2 0 1033 -295 0
Ɵx2 Ɵy2 w2 Ɵx3 Ɵy3 w33376.00 0.00 -2025.60 -848.81 0.00 0.00
0.00 -1188.33 0.00 0.00 2411.43 1033.472025.60 0.00 -810.24 0.00 -1033.47 -295.286752.00 0.00 -2025.60
0.00 1188.33 0.00-2025.60 0.00 810.24
848.81 0.00 0.000.00 4822.86 1033.470.00 1033.47 295.28
-20.8333333 0.01751235* 23.6734694 = -0.00912765
-39.1107872 -0.07599789
0.01751235 -20.8333333 -115.653-0.00912765 0 10.847
* -0.07599789 + 25 = 51.1040 -14.865
24.8979592 81.42915.8892128 28.896
Ɵy3 w30 0 Ɵx1
2411 1033 Ɵy1-1033 -295 w1
0 0 Ɵx34823 1033 Ɵy31033 295 w3
Ɵx1 Ɵx1 Mx1F 20.8333333Ɵy1 Ɵy1 My1F -23.6734694w1 w1 Z1F 39.1107872
Ɵx2 0 Mx2F -20.8333333* Ɵy2 0 + My2F 0
w2 0 Z2F 25Ɵx3 0 Mx3F 0Ɵy3 0 My3F 24.8979592w3 0 Z3F 15.8892128
80.000
ELEMENTO 1
J 0 M4G 83333000 KN/M2E 200000000 KN/M2I 0 M4L 5 Mø 90 grados 1.57079633 radianes
GJ/L 11884EI/L 6752
20262EI/L 3376
810SEN ø 1COS ø 0
6752 0 2026 3376 00 1188 0 0 -1188
2026 0 810 2026 03376 0 2026 6752 0
0 -1188 0 0 1188-2026 0 -810 -2026 0
Ɵx1 Ɵy1Mx1 0 7600.81 0.00My1 0 0.00 6011.19
Z1 0 2025.60 -1033.47Mx2 Mx2 3376.00 0.00My2 My2 = 0.00 -1188.33
Z2 Z2 -2025.60 0.00Mx3 Mx3 -848.81 0.00My3 My3 0.00 2411.43
Z3 Z3 0.00 1033.47
DEFORMACIONES INVERSA DE ESTA MATRIZƟx1 7.60E+03 -3.41E-13Ɵy1 = -3.41E-13 6.01E+03w1 2.03E+03 -1.03E+03
REACCIONESMx2 3.38E+03 -2.80E-13My2 -2.80E-13 -1.19E+03Z2 = -2.03E+03 1.24E-13
Mx3 -8.49E+02 0.00E+00My3 0.00E+00 2.41E+03
6EI/L2
12EI/L3
Z3 0.00E+00 1.03E+03
ELEMENTO 1
J 0 M4G 83333000 KN/M2E 200000000 KN/M2I 0 M4L 7 Mø 0 grados 0
GJ/L 8494EI/L 4823
10332EI/L 2411
295SEN ø 0COS ø 1
-2026 849 0 00 0 4823 -1033
-810 0 -1033 295-2026 -849 0 0
0 0 2411 -1033810 0 1033 -295
w1 Ɵx2 Ɵy2 w2 Ɵx3 Ɵy32025.60 3376.00 0.00 -2025.60 -848.81 0.00
-1033.47 0.00 -1188.33 0.00 0.00 2411.431105.52 2025.60 0.00 -810.24 0.00 -1033.472025.60 6752.00 0.00 -2025.60
0.00 0.00 1188.33 0.00-810.24 -2025.60 0.00 810.24
0.00 848.81 0.00-1033.47 0.00 4822.86
-295.28 0.00 1033.47
INVERSA DE ESTA MATRIZ2.03E+03 -20.8333333 0.01751235
-1.03E+03 * 23.6734694 = -0.009127651.11E+03 -39.1107872 -0.07599789
2.03E+03 0.01751235 -20.8333333-1.24E-13 -0.00912765 0
-8.10E+02 * -0.07599789 + 25 =0.00E+00 0
-1.03E+03 24.8979592
6EI/L2
12EI/L3
-2.95E+02 15.8892128
radianes
-849 0 00 2411 10330 -1033 -295
849 0 00 4823 10330 1033 295
w30.00 Ɵx1 Ɵx1 Mx1F
1033.47 Ɵy1 Ɵy1 My1F-295.28 w1 w1 Z1F
Ɵx2 0 Mx2F* Ɵy2 0 + My2F
w2 0 Z2F0.00 Ɵx3 0 Mx3F
1033.47 Ɵy3 0 My3F295.28 w3 0 Z3F
-115.65310.84751.104 80.000-14.86581.429
28.896
20.8333333-23.673469439.1107872-20.8333333
0250
24.897959215.8892128
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