3. Modeling A#
3.1. Characteristics of modeling#
We use a DKT model. An analysis is carried out at ELU.
3.2. Characteristics of the mesh#
The mesh contains 1 element of type QUAD4.
3.3. Tested sizes and results#
Charging case |
Configuration considered |
Longitudinal reference reinforcement (in cm²/m) |
Transverse reinforcement (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 |
|