Conception d'une application pour le calcul et la simulation des efforts sur les pylônes

4-9-2-1 Calcul des réactions au sol

Tableau 4-1 : résultats des réactions

		Rx (kN)	Erreur relative	Ry (kN)	Erreur relative
Noeud 1	Calcul par la méthode analytique	-30.14		-334.18
	Calcul par GENIE	-30.12	0.06%	-334.15	0.01%
	Calcul par robot	-30.49	1.16%	-333.79	0.12%
Noeud 2	Calcul par la méthode analytique	-31.36		345.90
	Calcul par GENIE	-31.36	0%	345.9	0%
	Calcul par robot	-31.01	1.12%	345.79	0.3%

4-9-2-2 Calcul des contraintes

Tableau 4-2 : résultat du calcul des contraintes

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
1	171.38	171.37	0.01%	171.47	0.05%
2	11.93	11.91	0.17%	12.41	4.02%
3	-12.55	-12.56	0.08%	-12.12	3.43%
4	-177.34	-177.34	0.00%	-177.82	0.27%
5	-1.86	-1.85	0.54%	-1.85	0.54%
6	171.36	171.37	0.01%	171.47	0.06%
7	0	0.00	0.00%	0	0.00%
8	-11.59	-12.00	3.54%	-11.59	0.00%
9	11.38	11.39	0.09%	11.86	4.22%
10	-177.35	-177.34	0.01%	-177.82	0.27%
11	165.17	165.15	0.01%	165.45	0.17%
12	11.33	11.32	0.09%	10.89	3.88%
13	-12.36	-12.35	0.08%	-12.86	4.05%
14	-171.12	-171.00	0.07%	-171.2	0.05%
15	-1.85	-1.85	0.00%	-1.85	0.00%
16	165.2	165.15	0.03%	165.45	0.15%
17	0	0.00	0.00%	0	0.00%
18	-11.85	-11.81	0.34%	-12.3	3.80%
19	10.84	10.84	0.00%	10.43	3.78%
20	-171.2	-171.00	0.12%	-171.2	0.00%

Tableau 4-3 : résultat du calcul des contraintes (suite)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
21	158.66	158.66	0.00%	158.65	0.01%
22	11.12	11.11	0.09%	11.7	5.22%
23	-11.82	-11.84	0.17%	-11.4	3.55%
24	-164.6	-164.59	0.01%	-165.01	0.25%
25	-1.94	-1.94	0.00%	-1.85	4.64%
26	158.66	158.66	0.00%	158.65	0.01%
27	0	0.00	0.00%	0	0.00%
28	-11.35	-11.30	0.44%	-10.93	3.70%
29	10.63	10.62	0.09%	11.21	5.46%
30	-164.6	-164.59	0.01%	-165.01	0.25%
31	152.12	152.10	0.01%	152.29	0.11%
32	10.54	10.55	0.09%	10.2	3.23%
33	-11.7	-11.69	0.09%	-12.35	5.56%
34	-157.9	-157.89	0.01%	-157.92	0.01%
35	-1.94	-1.94	0.00%	-1.93	0.52%
36	152.12	152.10	0.01%	152.29	0.11%
37	0	0.00	0.00%	0	0.00%
38	-11.19	-11.18	0.09%	-11.82	5.63%
39	10.09	10.11	0.20%	9.79	2.97%
40	-157.9	-157.89	0.01%	-157.92	0.01%

Tableau 4-4 : résultat du calcul des contraintes (suite)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
41	145.17	145.16	0.01%	144.94	0.16%
42	20.7	20.71	0.05%	21.88	5.70%
43	-22.05	-22.04	0.05%	-21.33	3.27%
44	-151.06	-151.07	0.01%	-151.3	0.16%
45	-1.74	-1.73	0.57%	-1.93	10.92%
46	145.17	145.16	0.01%	144.94	0.16%
47	0	0.00	0.00%	0	0.00%
48	-21.42	-21.40	0.09%	-20.55	4.06%
49	20.14	20.15	0.05%	21.07	4.62%
50	-151.06	-151.07	0.01%	-151.3	0.16%
51	137.9	137.89	0.01%	138	0.07%
52	20.45	20.47	0.10%	19.31	5.57%
53	-22.74	-22.72	0.09%	-23.76	4.49%
54	-143.62	-143.63	0.01%	-143.5	0.08%
55	-1.73	-1.73	0.00%	-1.72	0.58%
56	137.9	137.89	0.01%	138	0.07%
57	0	0.00	0.00%	0	0.00%
58	-22.29	-22.28	0.04%	-23.25	4.31%
59	20.14	20.16	0.10%	19.07	5.31%
60	-143.62	-143.63	0.01%	-143.5	0.08%

Tableau 4-5 : résultat du calcul des contraintes (suite)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
61	129.78	129.79	0.01%	129.49	0.22%
62	21.64	21.63	0.05%	22.74	5.08%
63	-23.1	-23.11	0.04%	-21.86	5.37%
64	-135.65	-135.64	0.01%	-135.92	0.20%
65	-1.69	-1.69	0.00%	-1.72	1.78%
66	129.78	129.79	0.01%	129.49	0.22%
67	0	0.00	0.00%	0	0.00%
68	-23.06	-23.08	0.09%	-21.88	5.12%
69	21.8	21.70	0.46%	22.7	4.13%
70	-135.66	-135.64	0.01%	-135.92	0.19%
71	120.78	120.78	0.00%	120.97	0.16%
72	22.76	22.78	0.09%	21.36	6.15%
73	-25.43	-25.42	0.04%	-26.59	4.56%
74	-126.4	-126.39	0.01%	-126.22	0.14%
75	-1.68	-1.69	0.60%	-1.67	0.60%
76	120.8	120.78	0.02%	120.97	0.14%
77	0	0.00	0.00%	0	0.00%
78	-26.02	-26.01	0.04%	-27.13	4.27%
79	23.51	23.53	0.09%	22.2	5.57%
80	-126.35	-126.39	0.03%	-126.22	0.10%

Tableau 4-6 : résultat du calcul des contraintes (suite)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
81	109.9	109.80	0.09%	109.43	0.43%
82	26.67	26.68	0.04%	28.08	5.29%
83	-28.5	-28.40	0.35%	-28.79	1.02%
84	-115.58	-115.57	0.01%	-115.97	0.34%
85	-1.65	-1.60	3.03%	-1.59	3.64%
86	109.78	109.80	0.02%	109.49	0.26%
87	0	0.00	0.00%	0	0.00%
88	-30.47	-30.47	0.00%	-30.48	0.03%
89	28.85	28.84	0.03%	28.55	1.04%
90	-115.58	-115.57	0.01%	-115.97	0.34%
91	95.82	95.83	0.01%	94.31	1.58%
92	32.92	32.94	0.06%	32.74	0.55%
93	-36.38	-36.36	0.05%	-33.48	7.97%
94	-101.23	-101.20	0.03%	-102.71	1.46%
95	-1.65	-1.60	3.03%	-1.66	0.61%
96	95.8	95.83	0.03%	95.56	0.25%
97	0	0.00	0.00%	0	0.00%
98	-41.56	-41.54	0.05%	-41.55	0.02%
99	38.3	38.28	0.05%	38.29	0.03%
100	-101.23	-101.20	0.03%	-102.71	1.46%

Tableau 4-7 : résultat du calcul des contraintes (suite)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
101	-16.94	-16.93	0.06%	-16.63	1.83%
102	78.8	78.79	0.01%	78.8	0.00%
103	46	46.10	0.22%	46.05	0.11%
104	-92.32	-92.35	0.03%	-92.33	0.01%
105	-1.48	-1.49	0.68%	-1.52	2.70%
106	78.8	78.79	0.01%	78.8	0.00%
107	-51.98	-51.99	0.02%	-51.96	0.04%
108	-75.99	-75.99	0.00%	-76	0.01%
109	55.91	55.93	0.04%	55.85	0.11%
110	108.86	108.84	0.02%	108.72	0.13%
111	-79	-79.00	0.00%	-79.2	0.25%
112	-84.97	-84.99	0.02%	-89.22	5.00%
113	0	0.00	0.00%	0	0.00%
114	42.76	42.79	0.07%	42.52	0.56%
115	77.25	77.22	0.04%	77.46	0.27%
116	-84.96	-84.99	0.04%	-89.22	5.01%
117	-1.69	-1.68	0.59%	-1.66	1.78%
118	42.69	42.79	0.23%	42.52	0.40%
119	-75.48	-75.45	0.04%	-75.71	0.30%
120	-20.42	-20.44	0.10%	-20.13	1.42%

Tableau 4-8 : résultat du calcul des contraintes (fin)

Barre	Méthode analytique	Calcul de GENIE	Erreur relative	Calcul de ROBOT	Erreur relative
121	0	0.00	0.00%	0	0.00%
122	-4.87	-4.77	0.00%	-4.89	2.52%
123	56.44	56.21	0.04%	59.58	5.96%
124	-20.55	-20.44	0.10%	-20.13	1.42%
125	-70.42	-70.26	0.01%	-70.21	0.06%