R = K P

E = ### kg/cm R P
Rx1 Px1 x1 R
3 60 R1 Ry1 P1 Py1 1 y1 R
2 1 M1 M1 1 R
25 cm Rx2 Px2 500 x2 L
4 R2 Ry2 P2 Py2 -500 2 y2 L
7 VALORES M2 M2 3000 2 L
1 A = 0.15 m Rx3 Px3 ### x3 L
2 E = ### t/m R3 Ry3 P3 Py3 0 3 y3 L
4 I = ### m4 M3 M3 1000 3 L
Rx4 Px4 x4 R
2 8 R4 Ry4 P4 Py4 4 y4 R
10 m M4 M4 4 R

B Xi Yi Xj Yj L C S EI 4EI/L 6EI/L2 12EI/L3 EA/L

12 2 2 6 4.472 0.45 0.89 ### 9660 3240 1449 ###
14 2 10 10.2 1 -0.2 ### 4236 623 122 ###
23 2 6 10 7 8.062 1 0.12 ### 5358 997 247 ###
34 10 7 10 7 0 -1 ### 6171 1322 378 ###

1 2
### ### ### ### ### ### 0.45 0.89 0 0 0 0
### ### 1449 ### ### 1449 1 -0.89 0.45 0 0 0 0
K1 ### 1449 9660 2898 ### 4830 1T = 0 0 1 0 0 0
### ### 2898 ### ### 2898 0 0 0 0.45 0.89 0
### ### ### ### ### ### 2 0 0 0 -0.89 0.45 0
### 1449 4830 2898 ### 9660 0 0 0 0 0 1
1 4
### ### 122 ### 6765 122 0.98 -0.2 0 0 0 0
### 1475 611 6765 ### 611 1 0.2 0.98 0 0 0 0
K2 122 611 4236 -122 -611 2118 2T = 0 0 1 0 0 0
### 6765 -122 ### ### -122 0 0 0 0.98 -0.2 0
6765 ### -611 ### 1475 -611 4 0 0 0 0.2 0.98 0
122 611 2118 -122 -611 4236 0 0 0 0 0 1
2 3
### 5465 -124 ### ### -124 0.99 0.12 0 0 0 0
5465 930 989 ### -930 989 2 -0.12 0.99 0 0 0 0
K3 -124 989 5358 124 -989 2679 3T = 0 0 1 0 0 0
### ### 124 ### 5465 124 0 0 0 0.99 0.12 0
### -930 -989 5465 930 -989 3 0 0 0 -0.12 0.99 0
-124 989 2679 124 -989 5358 0 0 0 0 0 1
3 4
378 0 1322 -378 0 1322 0 -1 0 0 0 0
0 ### 0 0 ### 0 3 1 0 0 0 0 0
K4 1322 0 6171 ### 0 3086 4T = 0 0 1 0 0 0
-378 0 ### 378 0 ### 0 0 0 0 -1 0
0 ### 0 0 ### 0 4 0 0 0 1 0 0
1322 0 3086 ### 0 6171 0 0 0 0 0 1
 R K P
x1 y1 z1 x2 y2 z2 x3 y3 z3 x4 y4 z4
Rx1 ### ### -2776 ### ### -2898 ### 6765 122 x1 0 0
Ry1 ### ### 2060 ### ### 1449 6765 -1475 611 y1 0 0
M1 -2776 2060 ### 2898 -1449 4830 -122 -611 2118 z1 0 0
0 ### ### 2898 ### ### 2774 ### -5465 -124 x2x2 0.5
0 ### ### -1449 ### ### -460 -5465 -930 989 y2y2 -0.5
0 -2898 1449 4830 2774 -460 ### 124 -989 2679 z2 2 3
0
= ### -5465 124 ### 5465 1446 -378 0 1322 x3x3
- -1
0 -5465 -930 -989 5465 ### -989 0 ### 0 y3y3 0
0 -124 989 2679 1446 -989 ### -1322 0 3086 z3 3 1
Rx4 ### 6765 -122 -378 0 -1322 ### -6765 -1445 x4 0 0
Ry4 6765 -1475 -611 0 ### 0 -6765 ### -611 y4 0 0
M4 122 611 2118 1322 0 3086 -1445 -611 ### z4 0 0
R K P
x2 y2 z2 x3 y3 z3 x1 y1 z1 x4 y4 z4
0 ### ### 2774 ### -5465
-124 ### ### 2898 x2x2 0.5
0 ### ### -460 -5465 -930
989 ### ### -1449 y2y2 -0.5
0 2774 -460 ### 124 -989
2679 -2898 1449 4830 z2 2 3
0 ### -5465 124 ### 5465
1446 -378 0 1322 x3x3 -1
0 -5465 -930 -989 5465 ###
-989 0 ### 0 y3y3 0
0 -124 989 2679 1446 -989
### -1322 0 3086 z3 3 1
Rx1
= ### ### -2898 ### ### -2776 ### 6765 122 x1 0
- 0
Ry1 ### ### 1449 ### ### 2060 6765 -1475 611 y1 0 0
M1 2898 -1449 4830 -2776 2060 ### -122 -611 2118 z1 0 0
Rx4 -378 0 -1322 ### 6765 -122 ### -6765 -1445 x4 0 0
Ry4 0 ### 0 6765 -1475 -611 -6765 ### -611 y4 0 0
M4 1322 0 3086 122 611 2118 -1445 -611 ### z4 0 0

0.5 61228 37085 2774 -43969 -5465 -124 x2

-0.5 37085 65619 -460 -5465 -930 989 y2
3 2774 -460 15018 124 -989 2679 2
-1
= -43969 -5465 124 44347 5465 1446 x3
0 -5465 -930 -989 5465 52359 -989 y3
1 -124 989 2679 1446 -989 11530 3

x2 ### ### ### ### ### ### 0.5 x2= -0.001

y2 ### ### ### ### ### ### -0.5 y2= 0.0003
2 ### ### ### ### ### ### 3 2= 0.0003
x3
= ### ### ### ### ### ### -1 x3= -0.001
y3 ### ### ### ### ### ### 0 y3= 1E-05
3 ### ### ### ### ### ### 1 3= 6E-05

Rx1 -17259 -31620 -2898 0 0 0 -0.001 ### 0 Rx1= 0.377

Ry1 -31620 -64689 1449 0 0 0 0.0003 ### 0 Ry1= 1.028
M1 2898 -1449 4830 0 0 0 0.0003 ### 0 M1= ###
Rx4
= 0 0 0 -378 0 -1322 -0.001 ### 0 Rx4= 0.123
Ry4 0 0 0 0 -51429 0 1E-05 ### 0 Ry4= ###
M4 0 0 0 1322 0 3086 6E-05 ### 0 M4= ###

R F
0.5 -0.5 CUMPLE
0.5 -0.5