CALCUL des POTEAUX / POTENCE Remplir les cases colorées
TABLEAU pour le Choix du Fer de Poteau Tubes Rectangulaires
N° 1 à 35
Fers HEA
N° 89 à 112
Tubes Carrés
N° 36 à 58
Fers HEB
N° 113 à 136
Fers IPN
N° 59 à 70
Fers UPN
N° 137 à 149
Fers IPE
N° 71 à 88
Fers UAP
N° 150 à 159
B A en m = B en m = C en m = E en m = Kg =
Kg E
4.00 2.00 0.30 0.90 100
Moment Fléchissant = Force au Pied du Pot.= (avec bracon)
Calcul des Encrages travaillant à la traction (D)
A
soit 2 tiges par tige 334 Kg Choix du Diamètre de la Tige Longueur d'Encrage =
D C CALCUL des Fers
Suite du calcul plus bas
a) - N° pour le Choix du Fer POTEAU (IPN,IPE,HEA,HEB) : .-Largr. Ailes: Type de Fer: IPE 100 .- Htr. Fer : 100 mm Surf. du fer : 10.3 cm2 Ix : 171 cm4 Iy :
72 55 mm 15.9 cm4
b) - N° pour le choix du POTEAU (Tube carré,rectangulaire) : Type de Fer: .-Largeur : .- Htr. Fer : Surf. du fer : Ix : Iy : N° Choix Fer de Poutre :
53
TC 100/3,2
Ix :
vérifier la Flèche Ix/v : Iy/v : Ix/v : Iy/v :
193.4 cm4
Tau de Travail :
Iy :
1.29 Kg/mm2 OK pour 16Kg/mm2
Flèche en Tête de Poteau : Flèche sur la Poutre :
479 mm 1 mm
Flèche trop importante !! Attention flèches cumulées :
480 mm
Vérification du Fer (Poteau et Potence) rayon de giration (Iy) : 1.2 cm Elancement (Pièce encastrée à 1 extrémité et libre à l'autre) :
Contrainte critique d'Euler : 44 Kg/cm2
Contrainte de déversement: 2400 Kg/cm2
Tau de Travail :
1582 Kg/cm2
Contrainte d'affais. du Poteau :
OK sup. à 110
Contrainte de Compression simple sur le Poteau: OK Compr.sup. à Euler 9.7 Kg/cm2
Contrainte d'affaissement du Poteau : valeur (a)
667
34 Kg/cm2
14.62 Kg/mm2 OK pour 16Kg/mm2
Pas de FLAMBEMENT sur ce Poteau !
200 mKg 667 Kg
16 mm
11 cm
vérifier la Flèche 34.2 cm3 5.79 cm3
193.4 cm4
1.29 Kg/mm2 OK pour 16Kg/mm2
Contrainte de Compression simple sur le Poteau: OK Compr.sup. à Euler pour acier
14.62 Kg/mm2 OK pour 16Kg/mm2
e FLAMBEMENT sur ce Poteau !
TUBES N° profilés 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42
Désignation profilés TR 50/25/2,7 TR 60/30/2,7 TR 70/35/3,2 TR 80/40/3,2 TR 90/50/3,2 TR 100/50/3,2 TR 120/60/3,2 TR 140/40/3,2 TR 140/80/3,2 TR 150/50/3,2 TR 150/100/3,2 TR 160/90/3,2 TR 180/80/3,2 TR 200/100/4 TR 200/100/5 TR 200/100/6 TR 200/100/8 TR 200/100/10 TR 200/150/6 TR 200/150/8 TR 200/150/10 TR 250/150/5 TR 250/150/6 TR 250/150/8 TR 250/150/10 TR 250/150/12 TR 300/100/8 TR 300/100/10 TR 300/200/6 TR 300/200/8 TR 300/200/10 TR 300/200/12 TR 400/200/8 TR 400/200/10 TR 400/200/12 TC 22/2,3 TC 28/2,6 TC 35/2,7 TC 40/2,7 TC 40/3,2 TC 45/2,7 TC 45/4
Dimens. en mm L. Larg. Ep. 50 25 2.7 60 30 2.7 70 35 3.2 80 40 3.2 90 50 3.2 100 50 3.2 120 60 3.2 140 40 3.2 140 80 3.2 150 50 3.2 150 100 3.2 160 90 3.2 180 80 3.2 200 100 4 200 100 5 200 100 6 200 100 8 200 100 10 200 150 6 200 150 8 200 150 10 250 150 5 250 150 6 250 150 8 250 150 10 250 150 12 300 100 8 300 100 10 300 200 6 300 200 8 300 200 10 300 200 12 400 200 8 400 200 10 400 200 12 22 28 35 40 40 45 45
22 28 35 40 40 45 45
2.3 2.6 2.7 2.7 3.2 2.7 4
Ix Ix/V Iy Iy/V Poids en Cm4 en Cm3 en Cm4 en Cm3 en Kg/m 11.47 4.589 3.68 2.94 2.95 20.54 6.846 6.68 4.45 3.59 38.54 11.01 12.53 7.16 4.95 58.82 14.71 19.3 9.65 5.71 91.22 20.27 35.88 14.35 6.71 118.5 23.69 39.39 15.76 7.21 208.9 34.81 70.07 23.36 8.72 246.6 35.23 32.34 16.17 8.72 366.4 52.34 153.2 38.31 10.73 329.9 43.99 56.94 22.78 9.73 502.4 66.98 268.4 53.69 12.24 546.9 68.37 224 49.75 12.24 678.7 75.41 191 47.75 12.74 1,191.00 119.1 408.7 81.74 17.95 1,446.00 144.6 493.7 98.74 22.16 1,685.00 168.5 572.3 114.5 26.26 2,113.00 211.3 711 142.2 34.11 2,479.00 247.9 826.5 165.3 41.53 2,249.00 224.9 1,447.00 192.9 30.97 2,851.00 285.1 1,828.00 243.7 40.4 3,383.00 338.3 2,163.00 288.4 49.38 3,284.00 262.7 1,501.00 200.1 30.01 3,857.00 308.5 1,758.00 234.4 35.68 4,921.00 393.6 2,232.00 297.6 46.68 5,879.00 470.4 2,654.00 353.8 57.23 6,736.00 538.9 3,026.00 403.5 67.34 6,028.00 401.9 1,050.00 210.1 46.68 7,184.00 479 1,233.00 246.6 57.23 7,328.00 488.6 3,944.00 394.4 45.1 9,439.00 629.3 5,064.00 506.4 59.24 11,390.00 759.4 6,093.00 609.3 72.93 13,190.00 879.2 7,033.00 703.3 86.19 19,060.00 953.2 6,539.00 653.9 71.8 23,140.00 1,157.00 7,899.00 789.9 88.63 26,960.00 1,348.00 9,156.00 915.6 105 1.169 2.834 6.056 9.329 10.61 13.61 18.34
1.063 2.024 3.46 4.665 5.306 6.049 8.15
1.169 2.834 6.056 9.329 10.61 13.61 18.34
1.063 2.024 3.46 4.665 5.306 6.049 8.15
1.423 2.074 2.738 3.162 3.698 3.586 5.15
58
TC 50/3,2 TC 60/3,2 TC 70/3,2 TC 70/5 TC 80/3,2 TC 80/3,6 TC 80/4 TC 80/5 TC 90/3,2 TC 90/5 TC 100/3,2 TC 100/4 TC 100/5 TC 120/3,2 TC 120/4 TC 120/5
50 60 70 70 80 80 80 80 90 90 100 100 100 120 120 120
50 60 70 70 80 80 80 80 90 90 100 100 100 120 120 120
3.2 3.2 3.2 5 3.2 3.6 4 5 3.2 5 3.2 4 5 3.2 4 5
21.84 39.06 63.55 91.41 96.59 107 117 140.5 139.5 204.5 193.4 235.8 285.6 339.9 416.1 506.7
8.737 13.02 18.16 26.12 24.15 26.74 29.24 35.12 30.99 45.45 38.69 47.16 57.12 56.64 69.35 84.45
21.84 39.06 63.55 91.41 96.59 107 117 140.5 139.5 204.5 193.4 235.8 285.6 339.9 416.1 506.7
8.737 13.02 18.16 26.12 24.15 26.74 29.24 35.12 30.99 45.45 38.69 47.16 57.12 56.64 69.35 84.45
4.702 5.707 6.712 10.21 7.717 8.636 9.546 11.78 8.722 13.35 9.726 12.06 14.92 11.74 14.57 18.06
59 60 61 62 63 64 65 66 67 68 69 70
IPN 80 IPN 100 IPN 120 IPN 140 IPN 160 IPN 180 IPN 200 IPN 220 IPN 240 IPN 260 IPN 280 IPN 300
80 100 120 140 160 180 200 220 240 260 280 300
42 50 58 66 74 82 90 98 106 113 119 125
3.9 4.5 5.1 5.7 6.3 6.9 7.5 8.1 8.7 9.4 10.1 10.8
77.8 171 328 573 935 1,450.00 2,140.00 3,060.00 4,250.00 5,740.00 7,590.00 9,800.00
19.5 34.2 54.7 81.9 117 161 214 278 354 442 542 653
6.29 12.2 21.5 35.2 54.7 81.3 117 162 221 288 364 451
3 4.88 7.41 10.7 14.8 19.8 26 33.1 41.7 51 61.2 72.2
5.95 8.32 11.2 14.4 17.9 21.9 26.3 31.1 36.2 41.9 48 54.2
71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86
IPE 80 IPE 100 IPE 120 IPE 140 IPE 160 IPE 180 IPE 200 IPE 220 IPE 240 IPE 270 IPE 300 IPE 330 IPE 360 IPE 400 IPE 450 IPE 500
80 100 120 140 160 180 200 220 240 270 300 330 360 400 450 500
46 55 64 73 82 91 100 110 120 135 150 160 170 180 190 200
3.8 4.1 4.4 4.7 5 5.3 5.6 5.9 6.2 6.6 7.1 7.5 8 8.6 9.4 10.2
80.1 171 318 541 869 1,317.00 1,943.00 2,772.00 3,892.00 5,790.00 8,356.00 11,770.00 16,270.00 23,130.00 33,740.00 48,200.00
20 34.2 53 77.3 109 146 194 252 324 429 557 713 904 1,160.00 1,500.00 1,930.00
8.49 15.9 27.7 44.9 68.3 101 142 205 284 420 604 788 1,043.00 1,318.00 1,676.00 2,142.00
3.69 5.79 8.65 12.3 16.7 22.2 28.5 37.3 47.3 62.2 80.5 98.5 123 146 176 214
6 8.1 10.4 12.9 15.8 18.8 22.4 26.2 30.7 36.1 42.2 48.1 57.1 66.3 77.6 90.7
43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
87 88
IPE 550 IPE 600
550 600
210 220
11.1 12
67,120.00 92,080.00
2,440.00 3,070.00
2,668.00 3,387.00
254 308
106 122
89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112
HEA 100 HEA 120 HEA 140 HEA 160 HEA 180 HEA 200 HEA 220 HEA 240 HEA 260 HEA 280 HEA 300 HEA 320 HEA 340 HEA 360 HEA 400 HEA 450 HEA 500 HEA 550 HEA 600 HEA 650 HEA 700 HEA 800 HEA 900 HEA 1000
96 114 133 152 171 190 210 230 250 270 290 310 330 350 390 440 490 540 590 640 690 790 890 990
100 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300 300 300 300 300 300 300
5 5 5.5 6 6 6.5 7 7.5 7.5 8 8.5 9 9.5 10 11 11.5 12 12.5 13 13.5 14.5 15 16 16.5
349 606 1,033.00 1,673.00 2,510.00 3,692.00 5,410.00 7,763.00 10,460.00 13,670.00 18,260.00 22,930.00 27,700.00 33,090.00 45,070.00 63,720.00 86,980.00 111,900.00 141,200.00 175,200.00 215,300.00 303,400.00 422,100.00 553,800.00
73 106 155 220 294 389 515 675 836 1,010.00 1,260.00 1,480.00 1,680.00 1,890.00 2,310.00 2,900.00 3,550.00 4,150.00 4,790.00 5,470.00 6,240.00 7,680.00 9,480.00 11,190.00
134 231 389 616 925 1,336.00 1,955.00 2,769.00 3,668.00 4,763.00 6,310.00 6,985.00 7,436.00 7,887.00 8,584.00 9,465.00 10,370.00 10,820.00 11,270.00 11,720.00 12,180.00 12,640.00 13,550.00 14,000.00
27 38 56 77 103 134 178 231 282 340 421 466 496 526 571 631 691 721 751 782 812 843 903 934
16.7 19.9 24.7 30.4 35.5 42.3 50.5 60.3 68.2 76.4 88.3 97.6 105 112 125 140 155 166 178 190 204 224 252 272
113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130
HEB 100 HEB120 HEB 140 HEB 160 HEB 180 HEB 200 HEB 220 HEB 240 HEB 260 HEB 280 HEB 300 HEB 320 HEB 340 HEB 360 HEB 400 HEB 450 HEB 500 HEB 550
100 120 140 160 180 200 220 240 260 280 300 320 340 360 400 450 500 550
100 120 140 160 180 200 220 240 260 280 300 300 300 300 300 300 300 300
450 864 1,509.00 2,492.00 3,831.00 5,696.00 8,091.00 11,260.00 14,920.00 19,270.00 25,170.00 30,820.00 36,660.00 43,190.00 57,680.00 79,890.00 107,180.00 136,690.00
90 144 216 311 426 570 736 938 1,150.00 1,380.00 1,680.00 1,930.00 2,160.00 2,400.00 2,880.00 3,550.00 4,290.00 4,970.00
167 318 550 889 1,363.00 2,003.00 2,843.00 3,923.00 5,135.00 6,595.00 8,563.00 9,239.00 9,690.00 10,140.00 10,820.00 11,720.00 12,690.00 13,080.00
33 53 79 111 151 200 258 327 395 471 571 616 646 676 721 781 842 872
20.4 26.7 33.7 42.6 51.2 61.3 71.5 83.2 93 103 117 127 135 142 155 171 187 199
131 132 133 134 135 136
HEB 600 HEB 650 HEB 700 HEB 800 HEB 900 HEB 1000
600 650 700 800 900 1,000
300 300 300 300 300 300
137 138 139 140 141 142 143 144 145 146 147 148 149
UPN 80 UPN 100 UPN 120 UPN 140 UPN 160 UPN 180 UPN 200 UPN 220 UPN 240 UPN 260 UPN 280 UPN 300 UPN 400
80 100 120 140 160 180 200 220 240 260 280 300 400
45 50 55 60 65 70 75 80 85 90 95 100 110
150 151 152 153 154 155 156 157 158 159
UAP 80 UAP 100 UAP 130 UAP 150 UAP 175 UAP 200 UAP 220 UAP 250 UAP 270 UAP 300
160 161 162 163 164 165
PLAT 80 x 8 U 100/60/3
80 100
8 60
6 6 7 7 7.5 8 8.5 9 9.5 10 10 10 14
0 3
171,040.00 210,620.00 256,890.00 359,080.00 494,070.00 644,750.00
5,700.00 6,480.00 7,340.00 8,980.00 10,980.00 12,890.00
106 206 364 605 925 1,350.00 1,910.00 2,690.00 3,600.00 4,820.00 6,280.00 8,030.00 20,350.00
26.5 41.2 60.7 86.4 116 150 191 245 300 371 448 535 1,020.00
107 209 459 797 1,272.00 1,946.00 2,710.00 4,136.00 5,675.00 8,170.00
26.8 41.9 70.7 106 145 195 247 331 420 545
34.13 53
8.533 17
13,530.00 902 13,980.00 932 14,440.00 963 14,900.00 994 15,820.00 1,050.00 16,280.00 1,090.00 19.4 29.3 43.2 62.7 85.3 114 148 197 248 317 399 495 846
6.36 8.49 11.1 14.8 18.3 22.4 27 33.6 39.6 47.7 57.2 67.8 102
169.7
32.1
0.341 53
0.853 17
212 225 241 262 291 314 8.64 10.6 13.35 16 18.85 22 25.3 29.4 33.2 37.9 41.8 46.2 71.8 8.38 10.5 13.7 17.9 21.2 25.1 28.5 34.4 39.4 46 5.02 6
Aire en Cm2 3.76 4.57 6.31 7.27 8.55 9.19 11.11 11.11 13.67 12.39 15.59 15.59 16.23 22.87 28.23 33.45 43.46 52.91 39.45 51.46 62.91 38.23 45.45 59.46 72.91 85.79 59.46 72.91 57.045 75.46 92.91 109.8 91.46 112.9 133.8
peint. m2/m 0.145 0.176 0.204 0.235 0.274 0.294 0.354 0.354 0.434 0.395 0.495 0.495 0.514 0.584 0.58 0.576 0.568 0.561 0.676 0.669 0.66 0.78 0.776 0.768 0.761 0.752 0.768 0.761 0.976 0.969 0.96 0.952 1.168 1.16 1.152
1.812 2.642 3.488 4.028 4.71 4.568 6.56
0.084 0.108 0.135 0.155 0.155 0.175 0.173
5.99 7.27 8.55 13 9.83 11 12.16 15 11.11 17 12.39 15.36 19 14.95 18.56 23
0.194 0.235 0.275 0.272 0.315 0.314 0.313 0.312 0.355 0.352 0.394 0.393 0.392 0.475 0.473 0.472
7.58 10.6 14.2 18.3 22.8 27.9 33.5 39.6 46.1 53.4 61.1 69.1
0.304 0.37 0.439 0.502 0.575 0.64 0.709 0.775 0.844 0.906 0.966 1.03
7.64 10.3 13.2 16.4 20.1 23.9 28.5 33.4 39.1 45.9 53.8 62.6 72.7 84.5 98.8 116
0.329 0.401 0.474 0.55 0.622 0.698 0.768 0.848 0.921 1.04 1.16 1.25 1.35 1.47 1.61 1.74
134 156
1.88 2.02
21.2 25.3 31.4 38.8 45.3 53.8 64.3 76.8 86.8 97.3 112.5 124.4 133.5 142.8 159 178 197.5 211.8 226.5 241.6 260.5 285.8 320.5 346.8
0.562 0.677 0.794 0.896 1.02 1.14 1.26 1.37 1.48 1.6 1.72 1.76 1.79 1.83 1.91 2.01 2.11 2.21 2.31 2.41 2.5 2.7 2.9 3.1
26 34 43 54.3 65.3 78.1 91 106 118.4 131.4 149.1 161.3 170.9 180.6 197.8 218 238.6 254.1
0.567 0.686 0.805 0.918 1.03 1.15 1.27 1.38 1.5 1.62 1.73 1.77 1.81 1.85 1.93 1.99 2.12 2.22
270 286.3 306.4 334.2 371.3 400
2.32 2.42 2.52 2.71 2.91 3.11
11 13.5 17 20.4 24 28 32.2 37.4 42.3 48.3 53.3 58.8 91.5
0.312 0.372 0.434 0.489 0.546 0.611 0.661 0.718 0.775 0.834
32
0.684
0.95