E= N° ELEMENTO 1 2 3 4 5 6 7 8 9 10
200000 Mpa A= 1 cm2 ESCOGER COORDENADAS COORDENADA INICIO COORDENADA FNAL XN YN XF YF XN 0 4 2 2 1 0 4 2 0 4 2 2 3 4 7 2 0 3 4 10 2 0 2 2 13
DATOS PRELIMINARES I= GRADOS DE LIB INICIO YN 2 5 8 11 14
MATRICES LOCA
E= A= L= Cos = Sen = I=
E= A= L= Cos = Sen = I=
E= A= L= Cos = Sen = I=
200000 1 2.828427125 0.707106781 -0.707106781 0
200000 1 2.828427125 0.707106781 -0.707106781 0
200000 1 2.236067977 0.447213595 0.894427191 0
K1= K2= K3= K4= K5=
70710.6781 0 0 0 0
K1= K2= K3= K4= K5=
70710.6781 0 0 0 0
K1= K2= K3= K4= K5=
89442.7191 0 0 0 0
N° ELEMENTO 1 1 1 35355.3391 2 -35355.339 3 0 4 -35355.339 5 35355.3391 6 0 N° ELEMENTO 2 4 4 35355.3391 5 -35355.339 6 0 7 -35355.339 8 35355.3391 9 0 N° ELEMENTO 3 7 7 17888.5438 8 35777.0876 9 0 10 -17888.544 11 -35777.088 12 0 N° ELEMENTO 4
2 -35355.339 35355.3391 0 35355.3391 -35355.339 0 5 -35355.339 35355.3391 0 35355.3391 -35355.339 0 8 35777.0876 71554.1753 0 -35777.088 -71554.175 0
E= A= L= Cos = Sen = I=
E= A= L= Cos = Sen = I=
K=
200000 1 4.123105626 0.242535625 0.9701425 0
200000 1 2 0 1 0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
K1= K2= K3= K4= K5=
48507.125 0 0 0 0
K1= K2= K3= K4= K5=
100000 0 0 0 0
1 35355.3391 -35355.339 0 -35355.339 35355.3391 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 -35355.339 35355.3391 0 35355.3391 -35355.339 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 10 2853.36029 11 11413.4412 12 0 13 -2853.3603 14 -11413.441 15 0 N° ELEMENTO 5 13 13 0 14 0 15 0 16 0 17 0 18 0
3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 -35355.339 35355.3391 0 70710.6781 -70710.678 0 -35355.339 35355.3391 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 11413.4412 45653.7647 0 -11413.441 -45653.765 0 14 0 100000 0 0 -100000 0 MATRIZ GLOBAL 5 35355.3391 -35355.339 0 -70710.678 70710.6781 0 35355.3391 -35355.339 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 29 30
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
CARGAS EN LOS NU
Pn=
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
NUDO 1 =
NUDO 2 =
NUDO 3 =
NUDO 4 =
Pe=
NUDO 5 =
NUDO 6 =
NUDO 7 =
NUDO 8 =
NUDO 9 =
NUDO 10 =
0.70710678 - -0.7071068 0 0.70710678 - 0.70710678 0 0.70710678 0 0 0.70710678 - -2.236068 0 0.70710678 0 0 0.70710678 -200000 0 0.70710678 - -0.2425356 0 0.70710678 0 0 0.70710678 -1 0 0.70710678 -1 0
DATOS PRELIMINARES GRADOS DE LIBERTAD INICIO M 3 6 9 12 15
X 4 7 10 13 16
FINAL Y 5 8 11 14 17
M 6 9 12 15 18
INERCIA
AREA
0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 1 1 1 1 1
elijes un eje de coordenadas y le das sus reespectivas corrdenadas, le pones un orden a cada elemento y su grado de libertad correspondiente, enumeras los grados de libertad tal que las reacciones y apoyos nulos sean primero.
MATRICES LOCALES
N° ELEME 3 0 0 0 0 0 0
4 -35355.339 35355.3391 0 35355.3391 -35355.339 0
5 35355.3391 -35355.339 0 -35355.339 35355.3391 0
6 0 0 0 0 0 0
E= A= L= Cos = Sen = I=
200000 1 0 #DIV/0! #DIV/0! 0
K1= K2= K3= K4= K5=
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N° ELEME 6
8 35355.3391 -35355.339 0 -35355.339 35355.3391 0
9
0 0 0 0 0 0
7 -35355.339 35355.3391 0 35355.3391 -35355.339 0
11 -35777.088 -71554.175 0 35777.0876 71554.1753 0
12
0 0 0 0 0 0
10 -17888.544 -35777.088 0 17888.5438 35777.0876 0
0 0 0 0 0 0
E= A= L= Cos = Sen = I=
200000
E= A= L= Cos = Sen = I=
200000
1 0 #DIV/0! #DIV/0! 0
K1= K2= K3= K4= K5=
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
K1= K2= K3= K4= K5=
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N° ELEME 9
0 0 0 0 0 0
1 0 #DIV/0! #DIV/0! 0
N° ELEME
12 0 0 0 0 0 0
13 -2853.3603 -11413.441 0 2853.36029 11413.4412 0
14 -11413.441 -45653.765 0 11413.4412 45653.7647 0
15 0 0 0 0 0 0
E= A= L= Cos = Sen = I=
200000 1 0 #DIV/0! #DIV/0! 0
K1= K2= K3= K4= K5=
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N° ELEMEN 15
16 0 0 0 0 0 0
17 0 0 0 0 0 0
0 -100000 0 0 100000 0
7 0 0 0 -35355.339 35355.3391 0 53243.8829 421.748581 0 -17888.544 -35777.088 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 0 0 0 35355.3391 -35355.339 0 421.748581 106909.514 0 -35777.088 -71554.175 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0
E= A= L= Cos = Sen = I=
200000
10 0 0 0 0 0 0 -17888.544 -35777.088 0 20741.9041 47190.5288 0 -2853.3603 -11413.441 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 -35777.088 -71554.175 0 47190.5288 117207.94 0 -11413.441 -45653.765 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 #DIV/0! #DIV/0! 0
K1= K2= K3= K4= K5=
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0 -2853.3603 -11413.441 0 2853.36029 11413.4412 0 0 0 0 0 0 0 0 0 0 0 0 0
MATRIZ GLOBAL 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
CARGAS EN LOS NUDOS
0.70710678 0.70710678 0 -0.7071068 0.70710678 0 0 0.70710678 0 2.23606798 0.70710678 0 0 0.70710678 0 200000 0.70710678 0 0.24253563 0.70710678 0 0 0.70710678 0 1 0.70710678 0 1 0.70710678 0
0 0 1 0 0 1 0 0 1 0 0 1 4.33333333 4.83333333 5.33333333 5.83333333 6.33333333 6.83333333 7.33333333 7.83333333 8.33333333 8.83333333 9.33333333 9.83333333 10.3333333 10.8333333 11.3333333 11.8333333 12.3333333 12.8333333
X
1 2 3
+
X
+
X
+
X
+
X
+
X
+
X
+
X
+
X
+
X
+
0.70710678 -0.7071068 0.70710678 0.70710678 0 0
Pn G.D.L 1 2 3 4 5 6 7 8 9 10 11 12
CARGAS
N° ELEMENTO 6 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 7 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 8 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 9
G.D.L 13 14 15 16 17 18 19 20 21 22 23 24
CARGAS
G.D.L 25 26 27 28 29 30
NUDO
CARGAS N° 1
2
3
4
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
G.D.L 1 2 3 4 5 6 7 8 9 10 11 12
0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! N° ELEMENTO 10 0 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0! 0 #DIV/0!
14 0 0 0 0 0 0 0 0 0 -11413.441 -45653.765 0 11413.4412 145653.765 0 0 -100000 0 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0 0 0 0 0 -100000 0 0 100000 0 0 0 0 0 0 0 0 0 0
21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0
0 0 0
0 0 1
X
0 0 0
0 0 0
0 0 0
1 2 3
0 0 0
0 0 0
0 0 0
F F1
NUDO F2
N° 5
6
7
8
F G.D.L 13 14 15 16 17 18 19 20 21 22 23 24
F1
NUDO F2
N° 9
10
G.D.L 24 26 27 28 29 30
22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
0 0 0
F F1
F2
30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0