6. Rzeczywiste siły przekrojowe
6.1 Momenty brzegowe.
Momenty brzegowe określamy na zasadzie superpozycji na podstawie wzoru:
|
M1 |
ϕ1 |
M2 |
ϕ2 |
MI |
δI |
MI |
δII |
M0 |
M |
|
EI/m |
kNm2/EI |
EI/m |
kNm2/EI |
EI/m2 |
kNm3/EI |
EI/m2 |
kNm3/EI |
kNm |
kNm |
B2 |
0 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
0 |
2B |
0 |
2,3825 |
1 |
9,6297 |
0,33333 |
-26,4727 |
0 |
-19,0838 |
0 |
18,45393 |
21 |
1,5 |
2,3825 |
3 |
9,6297 |
1,125 |
-26,4727 |
0 |
-19,0838 |
0 |
2,681063 |
12 |
3 |
2,3825 |
1,5 |
9,6297 |
1,125 |
-26,4727 |
0 |
-19,0838 |
0 |
-8,18974 |
1A |
1,6 |
2,3825 |
0,3 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
3,812 |
A1 |
0,8 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
1,906 |
23 |
0 |
2,3825 |
0 |
9,6297 |
0,0225 |
-26,4727 |
-0,03 |
-19,0838 |
0 |
2,865788 |
32 |
0 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
0 |
34 |
0 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
0 |
43 |
0 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
0 |
41 |
0 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
0 |
-19,0838 |
0 |
0 |
14 |
0,857143 |
2,3825 |
0 |
9,6297 |
0 |
-26,4727 |
-0,12245 |
-19,0838 |
0 |
4,378935 |
Mij=Mij1*ϕ1+ Mij2*ϕ2+ MijI*δI+ MijII*δII+MIJ0
a=[5.4571 1.5 1.125 -0.1224;1.5 4.3 0.8142 -0.03;1.125 0.8142 1.3420 -0.8911;-0.1224 -0.03 -0.8911 1.2057]
a =
5.4571 1.5000 1.1250 -0.1224
1.5000 4.3000 0.8142 -0.0300
1.1250 0.8142 1.3420 -0.8911
-0.1224 -0.0300 -0.8911 1.2057
b=[0;24;-8;0]
b =
0
24.0000
-8.0000
0
c=inv(a)*b