3. Modélisation A#
3.1. Caractéristiques de la modélisation#
On utilise une modélisation DKT. On réalise une analyse à l’ELU.
3.2. Caractéristiques du maillage#
Le maillage contient 1 élément de type QUAD4.
3.3. Grandeurs testées et résultats#
Cas de chargement |
Configuration considérée |
Ferraillage Longitudinal de référence (en cm²/m) |
Ferraillage Transversal (cm²/m²) |
||||
DNSXI |
DNSXS |
DNSYI |
DNSYS |
DNSXT |
DNSYT |
||
1 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
2 |
0 |
0 |
0 |
0 |
0 |
0 |
|
3 |
2,08 |
2,08 |
2,08 |
2,08 |
0 |
0 |
|
4 |
2,08 |
2,08 |
2,08 |
2,08 |
0 |
0 |
|
5 |
2,08 |
2,08 |
2,08 |
2,08 |
0 |
0 |
|
6 |
2,08 |
2,08 |
2,08 |
2,08 |
0 |
0 |
|
7 |
2,08 |
2,08 |
2,08 |
2,08 |
0 |
0 |
|
8 |
0 |
0 |
0 |
0 |
0 |
0 |
|
9 |
0 |
0 |
0 |
0 |
0 |
0 |
|
10 |
0 |
0 |
0 |
0 |
14,375 |
14,375 |
|
11 |
0 |
0 |
0 |
0 |
0 |
0 |
|
12 |
0 |
0 |
0 |
0 |
0 |
0 |
|
13 |
0 |
0 |
0 |
0 |
0 |
0 |
|
14 |
0 |
0 |
0 |
0 |
0 |
0 |
|
15 |
0 |
0 |
0 |
0 |
0 |
0 |
|
2 |
1 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
2 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
|
3 |
11,5 |
11,5 |
2,08 |
2,08 |
40,11 |
14,09 |
|
4 |
11,5 |
11,5 |
2,08 |
2,08 |
40,11 |
14,09 |
|
5 |
10,73 |
10,73 |
2,08 |
2,08 |
40,11 |
14,09 |
|
6 |
11,5 |
11,5 |
2,08 |
2,08 |
40,11 |
14,09 |
|
7 |
47,61 |
11,5 |
12,69 |
2,08 |
40,11 |
14,09 |
|
8 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
|
9 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
|
10 |
11,5 |
11,5 |
0 |
0 |
86,25 |
86,25 |
|
11 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
|
12 |
11,5 |
11,5 |
0 |
0 |
40,11 |
14,09 |
|
13 |
11,5 |
11,5 |
0 |
0 |
48,34 |
0 |
|
14 |
11,5 |
11,5 |
0 |
0 |
48,34 |
0 |
|
15 |
11,5 |
11,5 |
0 |
0 |
48,34 |
0 |
|
3 |
1 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
2 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
3 |
2,08 |
2,08 |
11,5 |
11,5 |
0 |
0 |
|
4 |
2,08 |
2,08 |
11,5 |
11,5 |
0 |
0 |
|
5 |
2,08 |
2,08 |
10,73 |
10,73 |
0 |
0 |
|
6 |
2,08 |
2,08 |
11,5 |
11,5 |
0 |
0 |
|
7 |
2,08 |
2,08 |
10,32 |
11,5 |
0 |
0 |
|
8 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
9 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
10 |
0 |
0 |
11,5 |
11,5 |
11,85 |
11,85 |
|
11 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
12 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
13 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
14 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
15 |
0 |
0 |
11,5 |
11,5 |
0 |
0 |
|
4 |
1 |
0 |
0 |
0 |
15,84 |
0 |
0 |
2 |
0 |
0 |
0 |
15,84 |
0 |
0 |
|
3 |
2,08 |
2,08 |
2,08 |
15,84 |
0 |
0 |
|
4 |
2,08 |
2,08 |
2,08 |
15,84 |
0 |
0 |
|
5 |
2,08 |
2,08 |
2,08 |
15,59 |
0 |
0 |
|
6 |
2,08 |
2,08 |
2,08 |
15,84 |
0 |
0 |
|
7 |
2,08 |
2,08 |
2,08 |
15,84 |
0 |
0 |
|
8 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
0 |
0 |
6,83 |
15,84 |
0 |
0 |
|
10 |
0 |
0 |
0 |
15,84 |
0 |
0 |
|
11 |
0 |
0 |
0 |
15,84 |
0 |
0 |
|
12 |
0 |
0 |
0 |
15,84 |
0 |
0 |
|
13 |
0 |
0 |
0 |
16,19 |
0 |
0 |
|
14 |
0 |
0 |
0 |
16,19 |
0 |
0 |
|
15 |
0 |
0 |
0 |
15,84 |
0 |
0 |
|
5 |
1 |
0 |
15,84 |
0 |
0 |
0 |
0 |
2 |
0 |
15,84 |
0 |
0 |
0 |
0 |
|
3 |
2,08 |
15,84 |
2,08 |
2,08 |
0 |
0 |
|
4 |
2,08 |
15,84 |
2,08 |
2,08 |
0 |
0 |
|
5 |
2,08 |
15,59 |
2,08 |
2,08 |
0 |
0 |
|
6 |
2,08 |
15,84 |
2,08 |
2,08 |
0 |
0 |
|
7 |
2,08 |
15,84 |
2,08 |
2,08 |
0 |
0 |
|
8 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
6,83 |
15,84 |
0 |
0 |
0 |
0 |
|
10 |
0 |
15,84 |
0 |
0 |
0 |
0 |
|
11 |
0 |
15,84 |
0 |
0 |
0 |
0 |
|
12 |
0 |
15,84 |
0 |
0 |
0 |
0 |
|
13 |
0 |
16,19 |
0 |
0 |
0 |
0 |
|
14 |
0 |
16,19 |
0 |
0 |
0 |
0 |
|
15 |
0 |
15,84 |
0 |
0 |
0 |
0 |
|
6 |
1 |
0 |
14,60 |
0 |
0 |
0 |
0 |
2 |
0 |
14,60 |
0 |
0 |
0 |
0 |
|
3 |
2,08 |
14,60 |
2,08 |
2,08 |
0 |
0 |
|
4 |
2,08 |
14,60 |
2,08 |
2,08 |
0 |
0 |
|
5 |
2,08 |
14,39 |
2,08 |
2,08 |
0 |
0 |
|
6 |
2,08 |
14,60 |
2,08 |
2,08 |
0 |
0 |
|
7 |
2,08 |
14,60 |
2,08 |
2,08 |
0 |
0 |
|
8 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
6,73 |
14,65 |
0 |
0 |
0 |
0 |
|
10 |
0 |
14,60 |
0 |
0 |
0 |
0 |
|
11 |
0 |
14,60 |
0 |
0 |
0 |
0 |
|
12 |
0 |
14,60 |
0 |
0 |
0 |
0 |
|
13 |
0 |
14,96 |
0 |
0 |
0 |
0 |
|
14 |
0 |
14,96 |
0 |
0 |
0 |
0 |
|
15 |
0 |
14,59 |
0 |
0 |
0 |
0 |
|
7 |
1 |
0 |
17,09 |
0 |
0 |
0 |
0 |
2 |
0 |
17,09 |
0 |
0 |
0 |
0 |
|
3 |
2,08 |
17,09 |
2,08 |
2,08 |
0 |
0 |
|
4 |
2,08 |
17,09 |
2,08 |
2,08 |
0 |
0 |
|
5 |
2,08 |
16,79 |
2,08 |
2,08 |
0 |
0 |
|
6 |
2,08 |
17,09 |
2,08 |
2,08 |
0 |
0 |
|
7 |
2,08 |
17,09 |
2,08 |
2,08 |
0 |
0 |
|
8 |
17,041 |
16,996 |
0 |
0 |
0 |
0 |
|
9 |
7,71 |
17,03 |
0 |
0 |
0 |
0 |
|
10 |
0 |
17,09 |
0 |
0 |
0 |
0 |
|
11 |
0 |
17,09 |
0 |
0 |
0 |
0 |
|
12 |
0 |
17,09 |
0 |
0 |
0 |
0 |
|
13 |
0 |
17,36 |
0 |
0 |
0 |
0 |
|
14 |
0 |
17,36 |
0 |
0 |
0 |
0 |
|
15 |
0 |
17,08 |
0 |
0 |
0 |
0 |
|
8 |
1 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
2 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
3 |
3,83 |
42,17 |
2,08 |
2,08 |
0 |
0 |
|
4 |
3,83 |
42,17 |
2,08 |
2,08 |
0 |
0 |
|
5 |
3,58 |
39,35 |
2,08 |
2,08 |
0 |
0 |
|
6 |
3,83 |
42,17 |
2,08 |
2,08 |
0 |
0 |
|
7 |
3,83 |
42,17 |
2,08 |
2,08 |
0 |
0 |
|
8 |
38,79 |
39,15 |
0 |
0,05 |
0 |
0 |
|
9 |
29,49 |
39,25 |
0 |
0,97 |
0 |
0 |
|
10 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
11 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
12 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
13 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
14 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
15 |
3,83 |
42,17 |
0 |
0 |
0 |
0 |
|
9 |
1 |
0 |
15,84 |
11,56 |
0 |
0 |
0 |
2 |
0 |
15,84 |
11,56 |
0 |
0 |
0 |
|
3 |
2,08 |
15,84 |
11,56 |
2,08 |
0 |
0 |
|
4 |
2,08 |
15,84 |
11,56 |
2,08 |
0 |
0 |
|
5 |
2,08 |
15,59 |
11,27 |
2,08 |
0 |
0 |
|
6 |
2,08 |
15,84 |
11,56 |
2,08 |
0 |
0 |
|
7 |
2,08 |
15,84 |
11,56 |
2,08 |
0 |
0 |
|
8 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
6,83 |
15,84 |
11,45 |
1,61 |
0 |
0 |
|
10 |
0 |
15,84 |
11,56 |
0 |
0 |
0 |
|
11 |
0 |
15,84 |
11,56 |
0 |
0 |
0 |
|
12 |
0 |
15,84 |
11,56 |
0 |
0 |
0 |
|
13 |
0,26 |
17,99 |
12,57 |
0,17 |
0 |
0 |
|
14 |
0,26 |
17,99 |
12,55 |
0,36 |
0 |
0 |
|
15 |
0,2875 |
15,81 |
11,52 |
0,28 |
0 |
0 |
|
10 |
1 |
0 |
0 |
25,29 |
0 |
0 |
0 |
2 |
0 |
0 |
25,29 |
0 |
0 |
0 |
|
3 |
2,08 |
2,08 |
25,29 |
2,08 |
0 |
0 |
|
4 |
2,08 |
2,08 |
25,29 |
2,08 |
0 |
0 |
|
5 |
2,08 |
2,08 |
25,12 |
2,08 |
0 |
0 |
|
6 |
2,08 |
2,08 |
25,29 |
2,08 |
0 |
0 |
|
7 |
2,08 |
2,08 |
25,29 |
2,08 |
0 |
0 |
|
8 |
0 |
0 |
25,28 |
25,48 |
0 |
0 |
|
9 |
0 |
0 |
25,27 |
15,67 |
0 |
0 |
|
10 |
0 |
0 |
25,29 |
0 |
0 |
0 |
|
11 |
0 |
0 |
25,29 |
0 |
0 |
0 |
|
12 |
0 |
0 |
25,29 |
0 |
0 |
0 |
|
13 |
0 |
0 |
26,32 |
0 |
0 |
0 |
|
14 |
0 |
0 |
26,32 |
0 |
0 |
0 |
|
15 |
0 |
0 |
25,26 |
0 |
0 |
0 |
|
11 |
1 |
0 |
0,00 |
130,26 |
0 |
0 |
0 |
2 |
0 |
0,00 |
50,57 |
6,83 |
0 |
0 |
|
3 |
2,08 |
2,08 |
50,49 |
6,83 |
0 |
0 |
|
4 |
2,08 |
2,08 |
50,49 |
6,83 |
0 |
0 |
|
5 |
2,08 |
2,08 |
50,49 |
6,83 |
0 |
0 |
|
6 |
2,08 |
2,08 |
50,49 |
6,83 |
0 |
0 |
|
7 |
2,08 |
2,08 |
50,49 |
6,83 |
0 |
0 |
|
8 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
9 |
0,00 |
0,00 |
46,56 |
36,69 |
0 |
0 |
|
10 |
0 |
0,00 |
130,26 |
0 |
0 |
0 |
|
11 |
0 |
0,00 |
50,57 |
6,83 |
0 |
0 |
|
12 |
0 |
0,00 |
50,57 |
6,83 |
0 |
0 |
|
13 |
0,285 |
4,61 |
52,69 |
3,78 |
0 |
0 |
|
14 |
0 |
0,00 |
53,63 |
8,02 |
0 |
0 |
|
15 |
0 |
0,00 |
55,15 |
0 |
0 |
0 |
|
12 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
2 |
0 |
0,00 |
73,81 |
29,83 |
0 |
0 |
|
3 |
2,08 |
2,08 |
73,49 |
29,83 |
0 |
0 |
|
4 |
2,08 |
2,08 |
73,49 |
29,83 |
0 |
0 |
|
5 |
2,08 |
2,08 |
73,49 |
29,83 |
0 |
0 |
|
6 |
2,08 |
2,08 |
73,49 |
29,83 |
0 |
0 |
|
7 |
2,08 |
2,08 |
73,49 |
29,83 |
0 |
0 |
|
8 |
0 |
0 |
69,68 |
68,90 |
0 |
0 |
|
9 |
0 |
0 |
69,88 |
60,09 |
0 |
0 |
|
10 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
11 |
0 |
0 |
73,81 |
29,83 |
0 |
0 |
|
12 |
0 |
0 |
73,81 |
29,83 |
0 |
0 |
|
13 |
0,285 |
4,61 |
75,69 |
26,78 |
0 |
0 |
|
14 |
0 |
0,00 |
76,63 |
31,02 |
0 |
0 |
|
15 |
0 |
0,00 |
77,31 |
23,64 |
0 |
0 |
|
13 |
1 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
2 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
|
3 |
2,08 |
2,08 |
2,08 |
2,08 |
13,02 |
63,15 |
|
4 |
2,08 |
2,08 |
2,08 |
2,08 |
13,02 |
63,15 |
|
5 |
2,08 |
2,08 |
2,08 |
2,08 |
13,02 |
63,15 |
|
6 |
2,08 |
2,08 |
2,08 |
2,08 |
17,21 |
55,07 |
|
7 |
15,49 |
2,08 |
49,57 |
2,08 |
13,02 |
63,15 |
|
8 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
|
9 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
|
10 |
0 |
0 |
0 |
0 |
115,0 |
115,0 |
|
11 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
|
12 |
0 |
0 |
0 |
0 |
13,02 |
63,15 |
|
13 |
0 |
0 |
0 |
0 |
0 |
88,78 |
|
14 |
0 |
0 |
0 |
0 |
0 |
88,78 |
|
15 |
0 |
0 |
0 |
0 |
0 |
68,13 |
|
14 |
1 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
2 |
81,58 |
21,74 |
0 |
0,65 |
0 |
0 |
|
3 |
81,58 |
21,74 |
2,08 |
2,08 |
0 |
0 |
|
4 |
81,58 |
21,74 |
2,08 |
2,08 |
0 |
0 |
|
5 |
81,58 |
21,74 |
2,08 |
2,08 |
0 |
0 |
|
6 |
81,58 |
21,74 |
2,08 |
2,08 |
0 |
0 |
|
7 |
81,58 |
21,74 |
2,08 |
2,08 |
0 |
0 |
|
8 |
74,60 |
73,78 |
0 |
0 |
0 |
0 |
|
9 |
75,05 |
65,41 |
0 |
0 |
0 |
0 |
|
10 |
-1 |
-1 |
-1 |
-1 |
-1 |
-1 |
|
11 |
81,58 |
21,74 |
0 |
0,65 |
0 |
0 |
|
12 |
81,58 |
21,74 |
0 |
0,65 |
0 |
0 |
|
13 |
78,53 |
23,94 |
4,61 |
0,29 |
0 |
0 |
|
14 |
82,77 |
24,88 |
0 |
0 |
0 |
0 |
|
15 |
75,39 |
25,56 |
0 |
0 |
0 |
0 |
|