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- CALCOLO TRAVE IN ACCIAIO - ai sensi della norma europea EN-1993-1-1 (Eurocodice 3) trave: HEA 140 - acciaio tipo S275 Caratteristiche della trave: HEA 140 1033 Wx = 155.0 31.40 389 Wy = 55.6 p = 0.25 kN/m Luce di calcolo L = 4.24 m Interasse delle travi int 1.30 m A B CARICHI AGENTI SULLA TRAVE carico accidentale Qk,1 = 8.86 x int. = 11.52 1.00 inclinazione del carico accidentale 0.0 ° peso della copertura Gk = 0.30 x int. = 0.39 1.00 inclinazione del peso della copertura 14.0 ° peso della trave 0.25 1.00 inclinazione del peso della trave 14.0 ° ------------------------------------ TOTALE Q vert 12.14 kN/m Q hor 0.15 kN/m Momento flettente sulla trave 27.27 kNm 0.35 kNm 182.2 MPa < 262 MPa Verificato 1.05 VERIFICA DI DEFORMABILITA' 21.20 mm (carichi totali) 13.71 mm = 1 / 309 Verificato 16.96 mm (carichi variabili) 13.02 mm = 1 / 326 Verificato con la seguente combinazione caratteristica: ΣGk + ψ1,1 Qk,1 con ψ1,1= 0.57 per 'coperture in generale' Jx = cm 4 cm 3 A = cm 2 Jy = cm 4 cm 3 kN/m γQ= kN/m γG= kN/m γG= Mx = = Qvert x L 2 / 8 My = = Qhor x L 2 / 8 ss = Mx / Wx + My / Wy con γM0 = δmax,lim = 1 / 200 Long. = δmax,calc = 5 p l 4 / 384 E J = δ2,lim = 1 / 250 L0ng. = δ2,calc = 5 p l 4 / 384 E J =

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Page 1: Copy of Beam EC3 (Italiano)

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- CALCOLO TRAVE IN ACCIAIO -ai sensi della norma europea EN-1993-1-1 (Eurocodice 3)

trave: HEA 140 - acciaio tipo S275

Caratteristiche della trave: HEA 140

1033 Wx = 155.0 31.40

389 Wy = 55.6 p = 0.25 kN/m

Luce di calcolo L = 4.24 m

Interasse delle travi int = 1.30 m

A B

CARICHI AGENTI SULLA TRAVE

carico accidentale Qk,1 = 8.86 x int. = 11.52 1.00inclinazione del carico accidentale 0.0 °

peso della copertura Gk = 0.30 x int. = 0.39 1.00inclinazione del peso della copertura 14.0 °

peso della trave 0.25 1.00inclinazione del peso della trave 14.0 °

---------------------------------------------TOTALE Q vert 12.14 kN/m

Q hor 0.15 kN/mMomento flettente sulla trave

27.27 kNm

0.35 kNm

182.2 MPa < 262 MPa Verificato

1.05

VERIFICA DI DEFORMABILITA'

21.20 mm (carichi totali)

13.71 mm = 1 / 309 Verificato

16.96 mm (carichi variabili)

13.02 mm = 1 / 326 Verificato

con la seguente combinazione caratteristica:

ΣGk + ψ1,1 Qk,1 con ψ1,1= 0.57 per 'coperture in generale'

Jx = cm4 cm3 A = cm2

Jy = cm4 cm3

kN/m γQ=

kN/m γG=

kN/m γG=

Mx = = Qvert x L2 / 8

My = = Qhor x L2 / 8

ss = Mx / Wx + My / Wy =

con γM0 =

δmax,lim = 1 / 200 Long. =

δmax,calc = 5 p l4 / 384 E J =

δ2,lim = 1 / 250 L0ng. =

δ2,calc = 5 p l4 / 384 E J =

G21
Esposto Renzoni Enrico: Inserire 0° se il profilo ed il carico sono entrambi verticali Inserire lo stesso angolo del profilo se il profilo è inclinato ed il carico è parallelo all'asse YY del profilo Inserire valori diversi quando non hanno la stessa inclinazione
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dimensioni geometriche

profilo mm A p

h b r*** (mm) (mm) (mm) (mm) (mm) (kg/m)

1 IPE 80 80 46 3.8 5.2 5 7.64 62 IPE 100 100 55 4.1 5.7 7 10.3 8.13 IPE 120 120 64 4.4 6.3 7 13.2 10.44 IPE 140 140 73 4.7 6.9 7 16.4 12.95 IPE 160 160 82 5 7.4 9 20.1 15.86 IPE 180 180 91 5.3 8 9 23.9 18.87 IPE 200 200 100 5.6 8.5 12 28.5 22.48 IPE 220 220 110 5.9 9.2 12 33.4 26.29 IPE 240 240 120 6.2 9.8 15 39.1 30.7

10 IPE 270 270 135 6.6 10.2 15 45.9 36.111 IPE 300 300 150 7.1 10.7 15 53.8 42.212 IPE 330 330 160 7.5 11.5 18 62.6 49.113 IPE 360 360 170 8 12.7 18 72.7 57.114 IPE 400 400 180 8.6 13.5 21 84.5 66.315 IPE 450 450 190 9.4 14.6 21 98.8 77.616 IPE 500 500 200 10.2 16 21 116 90.717 IPE 550 550 210 11.1 17.2 24 134 10618 IPE 600 600 220 12 19 24 156 12219 HEA 100 96 100 5 8 12 21.2 16.720 HEA 120 114 120 5 8 12 25.3 19.921 HEA 140 133 140 5.5 8.5 12 31.4 24.722 HEA 160 152 160 6 9 15 38.8 30.423 HEA 180 171 180 6 9.5 15 45.3 35.524 HEA 200 190 200 6.5 10 18 53.8 42.325 HEA 220 210 220 7 11 18 64.3 50.526 HEA 240 230 240 7.5 12 21 76.8 60.327 HEA 260 250 260 7.5 12.5 24 86.8 68.228 HEA 280 270 280 8 13 24 97.3 76.429 HEA 300 290 300 8.5 14 27 113 88.330 HEA 320 310 300 9 15.5 27 124 97.631 HEA 340 330 300 9.5 16.5 27 133 10532 HEA 360 350 300 10 17.5 27 143 11233 HEA 400 390 300 11 19 27 159 12534 HEA 450 440 300 11.5 21 27 178 14035 HEA 500 490 300 12 23 27 198 15536 HEA 550 540 300 12.5 24 27 212 16637 HEA 600 590 300 13 25 27 226 17838 HEA 650 640 300 13.5 26 27 242 19039 HEA 700 690 300 14.5 27 27 260 20440 HEA 800 790 300 15 28 30 286 22441 HEA 900 890 300 16 30 30 321 25242 HEA1000 990 300 16.5 31 30 347 27243 HEB 100 100 100 6 10 12 26 20.444 HEB 120 120 120 6.5 11 12 34 26.745 HEB 140 140 140 7 12 12 43 33.746 HEB 160 160 160 8 13 15 54.3 42.647 HEB 180 180 180 8.5 14 15 65.3 51.2

tw tf

(cm2)

I3
Peso a metro lineare
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Pagina 3

48 HEB 200 200 200 9 15 18 78.1 61.349 HEB 220 220 220 9.5 16 18 91 71.550 HEB 240 240 240 10 17 21 106 83.251 HEB 260 260 260 10 17.5 24 118 9352 HEB 280 280 280 10.5 18 24 131 10353 HEB 300 300 300 11 19 27 149 11754 HEB 320 320 300 11.5 20.5 27 161 12755 HEB 340 340 300 12 21.5 27 171 13456 HEB 360 360 300 12.5 22.5 27 181 14257 HEB 400 400 300 13.5 24 27 198 15558 HEB 450 450 300 14 26 27 218 17159 HEB 500 500 300 14.5 28 27 239 18760 HEB 550 550 300 15 29 27 254 19961 HEB 600 600 300 15.5 30 27 270 21262 HEB 650 650 300 16 31 27 286 22563 HEB 700 700 300 17 32 27 306 24164 HEB 800 800 300 17.5 33 30 334 26265 HEB 900 900 300 18.5 35 30 371 29166 HEB1000 1000 300 19 36 30 400 31467 HEM 100 120 106 12 20 12 53.2 41.868 HEM 120 140 126 12.5 21 12 66.4 52.169 HEM 140 160 146 13 22 12 80.6 63.270 HEM 160 180 166 14 23 15 97.1 76.271 HEM 180 200 186 14.5 24 15 113 88.972 HEM 200 220 206 15 25 18 131 10373 HEM 220 240 226 15.5 26 18 149 11774 HEM 240 270 248 18 32 21 200 15775 HEM 260 290 268 18 32.5 24 220 17276 HEM 280 310 288 18.5 33 24 240 18977 HEM 300 340 310 21 39 27 303 23878 HEM 320 359 309 21 40 27 312 24579 HEM 340 377 309 21 40 27 316 24880 HEM 360 395 308 21 40 27 319 25081 HEM 400 432 307 21 40 27 326 25682 HEM 450 478 307 21 40 27 335 26383 HEM 500 524 306 21 40 27 344 27084 HEM 550 572 306 21 40 27 354 27885 HEM 600 620 305 21 40 27 364 28586 HEM 650 668 305 21 40 27 374 29387 HEM 700 716 304 21 40 27 383 30188 HEM 800 814 303 21 40 30 404 31789 HEM 900 910 302 21 40 30 424 33390 HEM1000 1008 302 21 40 30 444 34991 C 30x15 30 15 4 4.5 4.5 2.21 1.7492 C 30x33 30 33 5 7 7 5.44 4.2793 C 40x20 40 20 5 5.5 5 3.66 2.8794 C 40x35 40 35 5 7 7 6.21 4.8895 C 50x25 50 25 5 6 6 4.92 3.8696 C 50x38 50 38 5 7 7 7.12 5.5997 C 60x30 60 30 6 6 6 6.46 5.0798 C 65x42 65 42 5.5 7.5 7.5 9.03 7.0999 UPN 80 80 45 6 8 8 11 8.65

100 UPN 100 100 50 6 8.5 8.5 13.5 10.6

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101 UPN 120 120 55 7 9 9 17 13.3102 UPN 140 140 60 7 10 10 20.4 16103 UPN 160 160 65 7.5 10.5 10.5 24 18.9104 UPN 180 180 70 8 11 11 28 22105 UPN 200 200 75 8.5 11.5 11.5 32.2 25.3106 UPN 220 220 80 9 12.5 12.5 37.4 29.4107 UPN 240 240 85 9.5 13 13 42.3 33.2108 UPN 260 260 90 10 14 14 48.3 37.9109 UPN 280 280 95 10 15 15 53.4 41.9110 UPN 300 300 100 10 16 16 58.8 46.1

ACCIAIO MPaFe360 160Fe430 190Fe510 240S235 235S275 275S355 355

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assi di riferimento

U X - X Y - Y

(cm) (cm) (cm)0.328 80.1 20 3.24 8.49 3.69 1.05 11.6 6.9

0.4 171 34.2 4.07 15.9 5.79 1.24 19.7 8.680.475 318 53 4.9 27.7 8.65 1.45 30.4 10.50.551 541 77.3 5.74 44.9 12.3 1.65 44.2 12.30.623 869 109 6.58 68.3 16.7 1.84 61.9 140.698 1317 146 7.42 101 22.2 2.05 83.2 15.80.768 1943 194 8.26 142 28.5 2.24 110 17.60.848 2772 252 9.11 205 37.3 2.48 143 19.40.922 3892 324 9.97 284 47.3 2.69 183 21.21.041 5790 429 11.2 420 62.2 3.02 242 23.91.16 8356 557 12.5 604 80.5 3.35 314 26.6

1.254 11770 713 13.7 788 98.5 3.55 402 29.31.353 16270 904 15 1043 123 3.79 510 31.91.467 23130 1156 16.5 1318 146 3.95 654 35.41.61 33740 1500 18.5 1676 176 4.12 851 39.7

1.744 48200 1928 20.4 2142 214 4.31 1097 43.91.877 67120 2441 22.3 2668 254 4.45 1394 48.22.015 92080 3069 24.3 3387 308 4.66 1756 52.40.561 349 72.8 4.06 134 26.8 2.51 41.5 8.410.677 606 106 4.89 231 38.5 3.02 59.7 10.10.794 1033 155 5.73 389 55.6 3.52 86.7 11.90.906 1673 220 6.57 616 76.9 3.98 123 13.61.02 2510 294 7.45 925 103 4.52 162 15.51.14 3692 389 8.28 1336 134 4.98 215 17.21.26 5410 515 9.17 1955 178 5.51 284 191.37 7763 675 10.1 2769 231 6 372 20.91.48 10450 836 11 3668 282 6.5 460 22.71.6 13670 1013 11.9 4763 340 7 556 24.6

1.72 18260 1260 12.7 6310 421 7.49 692 26.41.76 22930 1479 13.6 6985 466 7.49 814 28.21.79 27690 1678 14.4 7436 496 7.46 925 29.91.83 33090 1891 15.2 7887 526 7.43 1044 31.71.91 45070 2311 16.8 8564 571 7.34 1281 35.22.01 63720 2896 18.9 9465 631 7.29 1608 39.62.11 86970 3550 21 10370 691 7.24 1974 44.12.21 111930 4146 23 10820 721 7.15 2311 48.42.31 141210 4787 25 11270 751 7.05 2675 52.82.41 175200 5474 26.9 11720 782 6.97 3068 57.12.5 215300 6241 28.8 12180 812 6.84 3516 61.22.7 303400 7682 32.6 12640 843 6.65 4349.5 69.82.9 422100 9485 36.3 13550 903 6.5 5405 78.13.1 553800 11190 40 14000 934 6.35 6410 86.4

0.567 450 89.9 4.16 167 33.5 2.53 52.1 8.630.686 864 144 5.04 318 52.9 3.06 82.6 10.50.805 1509 216 5.93 550 78.5 3.58 123 12.30.918 2492 311 6.78 889 111 4.05 177 14.11.04 3831 426 7.66 1363 151 4.57 241 15.9

Sx sx

Jx Wx ix Jy Wy iy

(m2/m) (cm4) (cm3) (cm4) (cm3) (cm3)

J3
Superficie del contorno per metro di barra
Q3
Momento statico di mezza sezione
R3
Distanza tra i centri di trazione e compressione
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1.15 5696 570 8.54 2003 200 5.07 321 17.71.27 8091 736 9.43 2843 258 5.59 414 19.61.38 11260 938 10.3 3923 327 6.08 527 21.41.5 14920 1148 11.2 5135 395 6.58 641 23.3

1.62 19270 1376 12.1 6595 471 7.09 767 25.11.73 25170 1678 13 8563 571 7.58 934 26.91.77 30820 1926 13.8 9239 616 7.57 1075 28.71.81 36660 2156 14.6 9690 646 7.53 1204 30.41.85 43190 2400 15.5 10140 676 7.49 1341 32.21.93 57680 2884 17.1 10820 721 7.4 1616 35.72.03 79890 3551 19.1 11720 781 7.33 1991 40.12.12 107180 4287 21.2 12620 842 7.27 2407 44.52.22 136690 4971 23.2 13080 872 7.17 2795 48.92.32 171040 5701 25.2 13530 902 7.08 3213 53.22.42 210600 6480 27.1 13980 932 6.99 3660 57.52.52 256900 7340 29 14440 963 6.87 4163.5 61.72.71 359100 8977 32.8 14900 994 6.68 5115 70.22.91 494100 10980 36.5 15820 1054 6.53 6290 78.53.11 644700 12890 40.1 16280 1085 6.38 7430 86.8

0.619 1143 190 4.63 399 75.3 2.74 118 9.690.738 2018 288 5.51 703 112 3.25 175 11.50.857 3291 411 6.39 1144 157 3.77 247 13.30.97 5098 566 7.25 1759 212 4.26 337 15.11.09 7483 748 8.13 2580 277 4.77 442 16.91.2 10640 967 9 3651 354 5.27 568 18.7

1.32 14600 1217 9.89 5012 444 5.79 710 20.61.46 24290 1799 11 8153 657 6.39 1058 22.91.57 31310 2159 11.9 10450 780 6.9 1262 24.81.69 39550 2551 12.8 13160 914 7.4 1483 26.71.83 59200 3482 14 19400 1252 8 2039 291.87 68130 3796 14.8 19710 1276 7.95 2216 30.71.9 76370 4052 15.6 19710 1276 7.9 2359 32.4

1.93 84870 4297 16.3 19520 1268 7.83 2495 342 104120 4820 17.9 19340 1260 7.7 2785 37.4

2.1 131480 5501 19.8 19340 1260 7.59 3166 41.52.18 161930 6180 21.7 19150 1252 7.46 3547 45.72.28 197980 6923 23.6 19160 1252 7.35 3966 49.92.37 237450 7660 25.6 18980 1244 7.22 4386 54.12.47 281700 8433 27.5 18980 1245 7.13 4828.5 58.32.56 329300 9198 29.3 18800 1237 7.01 5270 62.52.75 442600 10870 33.1 18630 1230 6.79 6245 70.92.93 570400 12540 36.7 18450 1222 6.6 7220 793.13 722300 14330 40.3 18460 1222 6.45 8285 87.1

0.106 2.53 1.69 1.07 0.385 0.391 0.417 1.09 2.330.17 6.39 4.26 1.08 5.1 2.6 0.968 2.79 2.29

0.142 7.58 3.79 1.44 1.14 0.858 0.558 2.42 3.130.198 14.1 7.07 1.51 6.68 3.08 1.04 4.44 3.180.181 16.8 6.73 1.85 2.49 1.48 0.711 4.2 4.010.229 26.5 10.6 1.93 9.1 3.74 1.13 6.49 4.080.218 31.6 10.5 2.21 4.51 2.16 0.836 6.55 4.830.273 57.5 17.7 2.52 14 5.04 1.24 10.7 5.370.313 106 26.5 3.1 19.4 6.35 1.33 15.9 6.640.372 205 41.1 3.91 29.2 8.45 1.47 24.5 8.39

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0.429 364 60.7 4.63 43.1 11.1 1.59 36.4 100.487 605 86.4 5.45 62.5 14.7 1.75 51.4 11.80.545 925 116 6.21 85.1 18.3 1.88 68.8 13.40.603 1354 150 6.96 114 22.4 2.01 89.6 15.10.66 1911 191 7.71 148 26.9 2.14 114 16.8

0.718 2691 245 8.48 196 33.5 2.29 146 18.50.776 3599 300 9.22 247 39.5 2.42 179 20.10.833 4824 371 10 317 47.8 2.56 211 21.80.891 6276 448 10.8 398 57.2 2.73 266 23.60.949 8028 535 11.7 493 67.6 2.9 316 25.4

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forature d'ala posiz.

mm baric.

d p A''

6.4 25 6.31 2.38.4 30 8.4 2.758.4 35 11.1 3.211 40 13.4 3.6513 44 16.3 4.113 48 19.8 4.5513 52 24.1 517 58 27.1 5.517 65 32.4 621 72 37.3 6.7523 80 44 7.525 85 51.1 825 90 60 8.528 95 69.4 928 100 82.4 9.528 110 98.1 1028 115 114.7 10.528 120 134.7 1113 55 17 517 65 19.9 621 75 24.3 723 85 30.5 825 100 35.8 925 110 43.8 1025 120 53.3 1125 90 64.8 1225 100 74.3 1325 110 84.3 1425 120 98 1525 120 108.5 1525 120 116.5 1525 120 125.5 1525 120 140 1525 120 157 1528 120 171.2 1528 120 185.1 1528 120 198 1528 120 212.9 1528 120 229.8 1528 120 254.6 1528 120 287.4 1528 120 312.3 1513 55 20.8 517 65 26.5 621 75 32.9 723 85 42.3 825 100 51.3 9

cm2

xg

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25 110 63.1 1025 120 75 1125 90 89 1225 100 100.5 1325 110 113 1425 120 130 1525 120 140.5 1525 120 149.5 1525 120 158.5 1525 120 174 1525 120 192 1528 120 211 1528 120 225 1528 120 240 1528 120 251.3 1528 120 270.1 1528 120 297 1528 120 331.8 1528 120 359.7 1513 55 42.8 5.317 65 52.1 6.321 75 62.1 7.323 85 75.9 8.325 95 89 9.325 105 106 10.325 115 123 11.325 90 168 12.425 100 187.5 13.425 110 207 14.425 120 264 15.525 120 272 15.4525 120 276 15.4525 120 279 15.425 120 286 15.3525 120 295 15.3528 120 299.2 15.328 120 309.2 15.328 120 319.2 15.2528 120 329.2 15.2528 120 338.2 15.228 120 359.2 15.1528 120 379.2 15.128 120 399.2 15.16.4 10 1.66 0.52105018.4 18 4.28 1.316.4 11 2.97 0.67041311 18 4.68 1.338.4 16 3.96 0.810249411 21 5.6 1.378.4 18 5.49 0.910040311 25 7.45 1.420074411 28 8.97 1.458517313 30 11.4 1.5479975

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15 32 14 1.609713217 34 17.1 1.909085617 39 19.7 1.839950219 41 23.5 1.930025921 43 27 2.010067821 48 31.8 2.1398311

23.5 51 35.9 2.238709523.5 54 41.5 2.370889725.5 57 45.9 2.527007725.5 60 51 2.6995212