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DATOS AREAS^ PROMEDIO DE ARE
Q= 307 kN 1. L= 2.6 m 1.32 0. 1.7 1. 0.81 1. 0.
L(m) 0.52 2.
E= 15420 MPa 15420000 kPa
ELEMENTOS FINITOS= 5 1.54E+07^ kPa 2.
Analisis Elemento 1 Nodos=
Ke=
4.66E+07 -4.66E+07 1
-4.66E+07 4.66E+07 2
4.66E+07 -4.66E+07 1
-4.66E+07 4.66E+07 2
Nota= Tome los datos que se le asignaron al estudiante: JESHUA IVAN ALEJANDRO RENZA Grupo 8B
A 1 m^2 X 1 A 2 m^2 A 0 = m^2 A 3 m^2 X 2 A 4 m^2 A 5 m^3 X 3 VARIACION DEL AREA
X 4
X 5
[1] [2] [3] [4] [5]
𝑨=𝑨_𝟎
Analisis Elemento 2 Nodos= 2 3 Ke=
3.91E+07 -3.91E+07 2
-3.91E+07 3.91E+07 3
3.91E+07 -3.91E+07 2
-3.91E+07 3.91E+07 3
Analisis Elemento 3 Nodos= 3 4 Ke=
3.15E+07 -3.15E+07 3
-3.15E+07 3.15E+07 4
3.15E+07 -3.15E+07 3
-3.15E+07 3.15E+07 4
Analisis Elemento 4 Nodos= 4 5 Ke=
2.39E+07 -2.39E+07 4
-2.39E+07 2.39E+07 5
2.39E+07 -2.39E+07 4
-2.39E+07 2.39E+07 5
Fuerzas Internas del Elemento 1 Nodos= F = Ke * δe = 1 2 fi 1 4.66E+07 -4.66E+07 1 δi 0.000000 1 fj 2 -4.66E+07 4.66E+07 2 δj (^) 0.000007 2 σ= 195 kPa Tracción [+] Fuerzas Internas del Elemento 2 Nodos= F = Ke * δe = 2 3 fi 2 3.91E+07 -3.91E+07 2 δi 0.000007 2 fj 3 -3.91E+07 3.91E+07 3 δj (^) 0.000014 3 σ= 233 kPa Tracción [+] Fuerzas Internas del Elemento 3 Nodos= F = Ke * δe = 3 4 fi 3 3.15E+07 -3.15E+07 3 δi 0.000014 3 fj 4 -3.15E+07 3.15E+07 4 δj (^) 0.000024 4 σ= 289 kPa Tracción [+] Fuerzas Internas del Elemento 4 Nodos= F = Ke * δe = 4 5 fi 4 2.39E+07 -2.39E+07 4 δi 0.000024 4 fj 5 -2.39E+07 2.39E+07 5 δj (^) 0.000037 5
σ= 380 kPa Tracción [+] Fuerzas Internas del Elemento 5 Nodos= F = Ke * δe = 5 6 fi 5 1.64E+07 -1.64E+07 5 δi 0.000037 5 fj 6 -1.64E+07 1.64E+07 6 δj (^) 0.000056 6 σ= 556 kPa Tracción [+]
i j 2 3 i j 3 4 i j 4 5 i j
**5 6
- D** 1 0 2 δ 3 δ 4 δ 5 δ 6 δ Kab 0 0 0 = (^0) δ2 0.000007 m (^0) δ3 0.000014 m (^0) δ4 0.000024 m (^0) δ5 0.000037 m (^307) δ6 0.000056 m = 0.000007 (^) R1 -307 kN
Pb Db Db Pa
i j 5 6 F fi -307 kN fj (^307) kN
Kbb
Kbb
KbbT KbbT KbbT
KbbT Kbb T KbbT KbbT KbbT KbbT Kbb
Kbb T KbbT KbbT KbbT KbbT Kbb
KbbT Kbb T Adj(KbbT)
- Procedimiento para encontrar el Determinante por el Metodo de Cofactores Matriz de 5x
- 8.57E+07 -3.91E+07 0.00E+00 0.00E+00 0.00E+
- -3.91E+07 7.06E+07 -3.15E+07 0.00E+00 0.00E+
- 0.00E+00 -3.15E+07 5.55E+07 -2.39E+07 0.00E+
- 0.00E+00 0.00E+00 -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 0.00E+00 0.00E+00 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0.00E+00 0.00E+00 0.00E+ Kbb
- -3.91E+07 7.06E+07 -3.15E+07 0.00E+00 0.00E+
- 0.00E+00 -3.15E+07 5.55E+07 -2.39E+07 0.00E+
- 0.00E+00 0.00E+00 -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 0.00E+00 0.00E+00 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0.00E+00 0.00E+00 0.00E+ Kbb
- -3.91E+07 7.06E+07 -3.15E+07 0.00E+00 0.00E+
- 0.00E+00 -3.15E+07 5.55E+07 -2.39E+07 0.00E+
- 0.00E+00 0.00E+00 -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 0.00E+00 0.00E+00 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0.00E+00 0.00E+00 0.00E+ Kbb
- -3.91E+07 7.06E+07 -3.15E+07 0.00E+00 0.00E+
- 0.00E+00 -3.15E+07 5.55E+07 -2.39E+07 0.00E+
- 0.00E+00 0.00E+00 -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 0.00E+00 0.00E+00 -1.64E+07 1.64E+
- Matriz Transpuesta 5x
- -3.91E+07 7.06E+07 -3.15E+07 - 0 -3.15E+07 5.55E+07 -2.39E+07 - 0 0 -2.39E+07 4.03E+07 -1.64E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 7.06E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.15E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.15E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 0.00E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 7.06E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 7.06E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 -3.15E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 -3.91E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 7.06E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 -3.15E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+
- 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+ - 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+ - 8.57E+07 -3.91E+07 0 0 0 8.57E+
- -3.91E+07 7.06E+07 -3.15E+07 0 0 -3.91E+ - 0 -3.15E+07 5.55E+07 -2.39E+07 0 0.00E+ - 0 0 -2.39E+07 4.03E+07 -1.64E+07 0.00E+ - 0 0 0 -1.64E+07 1.64E+ - 4.83E+29 -4.83E+29 4.83E+29 -4.83E+29 4.83E+
- -4.83E+29 1.06E+30 -1.06E+30 1.06E+30 -1.06E+ - 4.83E+29 -1.06E+30 1.77E+30 -1.77E+30 1.77E+
- -4.83E+29 1.06E+30 -1.77E+30 2.71E+30 -2.71E+ - 4.83E+29 -1.06E+30 1.77E+30 -2.71E+30 4.09E+ - 2.14E-08 -2.14E-08 2.14E-08 -2.14E-08 2.14E-
- -2.14E-08 4.70E-08 -4.70E-08 4.70E-08 -4.70E- - 2.14E-08 -4.70E-08 7.88E-08 -7.88E-08 7.88E-
- -2.14E-08 4.70E-08 -7.88E-08 1.21E-07 -1.21E- - 2.14E-08 -4.70E-08 7.88E-08 -1.21E-07 1.82E-
- a 15 = 0.00E+
- -3.15E+07 0.00E+00 0.00E+00 4.83E+
- 5.55E+07 -2.39E+07 0.00E+
- -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 -1.64E+07 1.64E+
- -3.15E+07 0.00E+00 0.00E+00 -4.83E+
- 5.55E+07 -2.39E+07 0.00E+
- -2.39E+07 4.03E+07 -1.64E+
- 0.00E+00 -1.64E+07 1.64E+
- 7.06E+07 0.00E+00 0.00E+00 4.83E+
- -3.15E+07 -2.39E+07 0.00E+
- 0.00E+00 4.03E+07 -1.64E+
- 0.00E+00 -1.64E+07 1.64E+
- 7.06E+07 -3.15E+07 0.00E+
- -3.15E+07 5.55E+07 0.00E+
- 0.00E+00 -2.39E+07 -1.64E+
- 0.00E+00 0.00E+00 1.64E+