1 |
francois |
941 |
Solution exercice 1 du chapitre contraintes
|
2 |
|
|
a) Contraintes dues a la pression interne
|
3 |
|
|
|
4 |
|
|
sigmatetaa =
|
5 |
|
|
|
6 |
|
|
24000000
|
7 |
|
|
|
8 |
|
|
|
9 |
|
|
sigmaxa =
|
10 |
|
|
|
11 |
|
|
12000000
|
12 |
|
|
|
13 |
|
|
b) Contraintes dues a la force axiale
|
14 |
|
|
|
15 |
|
|
sigmaxb =
|
16 |
|
|
|
17 |
|
|
3.1234e+006
|
18 |
|
|
|
19 |
|
|
|
20 |
|
|
ans =
|
21 |
|
|
|
22 |
|
|
9.9410e+006
|
23 |
|
|
|
24 |
|
|
tenseur des contraintes en Pa
|
25 |
|
|
|
26 |
|
|
ans =
|
27 |
|
|
|
28 |
|
|
1.0e+007 *
|
29 |
|
|
|
30 |
|
|
2.4000 0.9941 0
|
31 |
|
|
0.9941 1.5123 0
|
32 |
|
|
0 0 0
|
33 |
|
|
|
34 |
|
|
Vecteurs et valeurs propores
|
35 |
|
|
|
36 |
|
|
ans =
|
37 |
|
|
|
38 |
|
|
0 -0.6487 1.5416
|
39 |
|
|
0 1.0000 1.0000
|
40 |
|
|
1.0000 0 0
|
41 |
|
|
|
42 |
|
|
|
43 |
|
|
ans =
|
44 |
|
|
|
45 |
|
|
1.0e+007 *
|
46 |
|
|
|
47 |
|
|
0 0 0
|
48 |
|
|
0 0.8675 0
|
49 |
|
|
0 0 3.0448
|
50 |
|
|
|
51 |
|
|
Angle de la direction 1 en degre
|
52 |
|
|
|
53 |
|
|
ans =
|
54 |
|
|
|
55 |
|
|
32.9705
|
56 |
|
|
|
57 |
|
|
Angle de la direction 2 en degre
|
58 |
|
|
|
59 |
|
|
ans =
|
60 |
|
|
|
61 |
|
|
122.9705
|
62 |
|
|
|
63 |
|
|
Cisaillement maximal en Pa
|
64 |
|
|
|
65 |
|
|
ans =
|
66 |
|
|
|
67 |
|
|
1.0887e+007
|
68 |
|
|
|
69 |
|
|
Direction du cisaillement maximal en degre
|
70 |
|
|
|
71 |
|
|
ans =
|
72 |
|
|
|
73 |
|
|
77.9705 |