1 |
francois |
941 |
Solution exercice 3 du chapitre introduction
|
2 |
|
|
1 Resolution du probleme avec charge fictive P en B
|
3 |
|
|
Ra=
|
4 |
|
|
|
5 |
|
|
ans =
|
6 |
|
|
|
7 |
|
|
- P/2 - (L*w)/2
|
8 |
|
|
|
9 |
|
|
Rc=
|
10 |
|
|
|
11 |
|
|
ans =
|
12 |
|
|
|
13 |
|
|
- P/2 - (L*w)/2
|
14 |
|
|
|
15 |
|
|
|
16 |
|
|
Mab =
|
17 |
|
|
|
18 |
|
|
(w*x^2)/2 + (- P/2 - (L*w)/2)*x
|
19 |
|
|
|
20 |
|
|
|
21 |
|
|
Mbc =
|
22 |
|
|
|
23 |
|
|
(w*x^2)/2 - P*(L/2 - x) - x*(P/2 + (L*w)/2)
|
24 |
|
|
|
25 |
|
|
vb=
|
26 |
|
|
|
27 |
|
|
ans =
|
28 |
|
|
|
29 |
|
|
(5*L^4*w)/(384*E*I)
|
30 |
|
|
|
31 |
|
|
2 Resolution du probleme statique avec moment fictif en A
|
32 |
|
|
Ra=
|
33 |
|
|
|
34 |
|
|
ans =
|
35 |
|
|
|
36 |
|
|
(- w*L^2 + 2*Ma)/(2*L)
|
37 |
|
|
|
38 |
|
|
Rc=
|
39 |
|
|
|
40 |
|
|
ans =
|
41 |
|
|
|
42 |
|
|
-(w*L^2 + 2*Ma)/(2*L)
|
43 |
|
|
|
44 |
|
|
|
45 |
|
|
M =
|
46 |
|
|
|
47 |
|
|
(w*x^2)/2 + ((2*Ma - L^2*w)*x)/(2*L) - Ma
|
48 |
|
|
|
49 |
|
|
tetea=
|
50 |
|
|
|
51 |
|
|
ans =
|
52 |
|
|
|
53 |
|
|
(L^3*w)/(24*E*I) |