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TABLE E-1(a) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) - USCS UNITS (ABRIDGED LIST) Axis 1-1 Axis 2-2 Weight per Flange Width Thickness Designation foot 1 S r Web Area Depth thickness in. in. in. I S r lb in. in. in." in. in. in." in. in. W 30 X 211 W 30 X 132 211 132 62.2 38.9 30.9 30.3 0.775 0.615 15.1 10.5 1.32 1.00 10300 5770 665 380 12.9 12.2 757 196 100 37.2 3.49 2.25 W 24 X 162 W 24 X 94 162 94.0 47.7 27.7 25.0 24.3 0.705 0.515 13.0 9.07 1.22 0.875 5170 2700 414 222 10.4 9.87 443 109 68.4 24.0 3.05 1.98 7.90 119 71.0 35.1 20.8 19.0 18.5 0.655 0.495 11.3 7.64 1.06 0.810 2190 1170 231 127 253 60.3 44.9 15.8 2.69 1.70 7.50 W 18 X 119 W 18 x 71 W 16 X 100 W 16 X 77 W 16 X 57 W 16 X 31 2.51 2.47 100 77.0 57.0 31.0 29.5 22.6 16.8 9.13 17.0 16.5 16.4 15.9 0.585 0.455 0.430 0.275 10.4 10.3 7.12 5.53 0.985 0.760 0.715 0.440 1490 1110 758 375 175 134 92.2 47.2 7.10 7.00 6.72 6.41 186 138 43.1 12.4 35.7 26.9 12.1 4.49 1.60 1.17 W 14 X 120 W 14 X 82 W 14 X 53 W 14 X 26 120 82.0 53.0 26.0 35.3 24.0 15.6 7.69 14.5 14.3 13.9 13.9 0.590 0.510 0.370 0.255 14.7 10.1 8.06 5.03 0.940 0.855 0.660 0.420 1380 881 541 245 190 123 77.8 35.3 6.24 6.05 5.89 5.65 495 148 57.7 8.91 67.5 29.3 14.3 3.55 3.74 2.48 1.92 1.08 12.5 12.2 W 12 x 87 W 12 x 50 W 12 x 35 W 12 x 14 87.0 50.0 35.0 14.0 25.6 14.6 10.3 4.16 0.515 0.370 0.300 0.200 12.1 8.08 6.56 3.97 0.810 0.640 0.520 0.225 740 391 285 88.6 118 64.2 45.6 14.9 5.38 5.18 5.25 4.62 241 56.3 24.5 2.36 39.7 13.9 7.47 1.19 3.07 1.96 1.54 0.753 12.5 11.9 W 10 X 60 W 10 X 45 W 10 x 30 W 10 X 12 60.0 45.0 30.0 12.0 17.6 13.3 8.84 3.54 10.2 10.1 10.5 9.87 0.420 0.350 0.300 0.190 10.1 8.02 5.81 3.96 0.680 0.620 0.510 0.210 341 248 170 53.8 66.7 49.1 32.4 10.9 4.39 4.32 4.38 3.90 116 53.4 16.7 2.18 23.0 13.3 5.75 1.10 2.57 2.01 1.37 0.785 W 8 X 35 W 8 X 28 W 8 X 21 W 8 X 15 35.0 28.0 21.0 15.0 10.3 8.24 6.16 4.44 8.12 8.06 8.28 8.11 0.310 0.285 0.250 0.245 8.02 6.54 5.27 4.01 0.495 0.465 0.400 0.315 127 98.0 75.3 48.0 31.2 24.3 18.2 11.8 3.51 3.45 3.49 3.29 42.6 21.7 9.77 3.41 10.6 6.63 3.71 1.70 2.03 1.62 1.26 0.876 Note: Axes 1-1 and 2-2 are principal centroidal axes.

2 Axis 2-2 r 1 S r TABLE E-1(b) PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) – SI UNITS (ABRIDGED LIST) Mass Flange Axis 1-1 per Web Designation meter Area Depth thickness Width Thickness 1 S mm x 10 mm x 10 mm W 760 X 314 314 40100 785 19.7 384 33.5 4290 10900 W 760 X 196 196 25100 770 15.6 267 25.4 2400 6230 W 610 x 241 241 30800 635 17.9 31.0 2150 6780 W 610 X 140 140 17900 617 230 222 1120 3640 mm mm mm mm X 10mm x 10 mm mm 328 310 315 81.6 1640 610 88.6 57.2 330 77.5 264 251 184 45.4 1120 393 13.1 50.3 W 460 X 177 W 460 X 106 177 106 22600 13400 483 470 16.6 12.6 287 194 26.9 20.6 912 487 3790 2080 201 191 105 25.1 736 259 68.3 43.2 149 2870 14.9 11.6 2200 77.4 57.4 W 410 X 149 W 410 X 114 W 410 X 85 W 410 X 46.1 19000 14600 10800 5890 432 419 417 404 264 262 181 140 25.0 19.3 18.2 11.2 620 462 316 156 180 178 171 163 S8S 441 198 73.6 63.8 62.7 40.6 29.7 17.9 85.0 46.1 10.9 6.99 1510 773 5.16 368 158 373 257 363 154 W 360 X 179 W 360 X 122 W 360 x 79 W 360 X 39 179 122 79,0 39.0 22800 15500 10100 4960 15.0 13.0 9.40 6.48 23.9 21.7 16.8 10.7 574 367 225 102 3110 2020 1270 578 206 61.6 24.0 3.71 353 353 1110 480 234 58.2 95.0 63.0 48.8 27.4 205 150 128 W 310 X 129 W 310 x 74 W 310 X 52 W 310 X 21 129 74.0 $2.0 21.0 16500 9420 6650 2680 318 310 318 302 13.1 9.40 7.62 5.08 307 205 167 101 20.6 16.3 13.2 5.72 308 163 119 36.9 1930 1050 747 244 137 132 133 117 100 23.4 10.2 0.982 651 228 122 19.5 78.0 49.8 39.1 19.1 142 1090 W 250 X 89 W 250 X 67 W 250 X 44.8 W 250 X 17.9 SOS 89.0 67.0 44.8 179 11400 8580 5700 2280 259 257 267 10.7 8.89 7.62 4.83 257 204 148 101 17.3 15.7 13.0 533 103 70.8 22.4 112 110 111 99.1 48.3 22.2 6.95 0.907 377 218 94.2 18.0 65.3 51.1 34.8 19.9 531 179 251 W 200 X 52 W 200 X 41.7 W 200 X 31.3 W 200 X 22.5 $2.0 41.7 31.3 22.5 6650 5320 3970 2860 206 205 210 206 7.87 7.24 6.35 6.22 204 166 134 102 12.6 11.8 10.2 8.00 52.9 40.8 31.3 20.0 511 398 298 193 89.2 87.6 88.6 83.6 17.7 9.03 4.07 1.42 174 109 60.8 27.9 51.6 41.1 32.0 22.3 Note: Axes 1-1 and 2-2 are principal centroidal axes.

1 2 Axis 1-1 Axis 2-2 TABLE E-2(b) PROPERTIES OF I-BEAM SECTIONS (S SHAPES) – SI UNITS (ABRIDGED LIST) Flange Mass per Web Average Designation meter Area Depth thickness Width thickness kg mm 1 S 1 S mm mm x 10mm x 10 mm mm x 10 mm x 10 mm mim 149 18900 15200 229 610 610 18.9 12.7 184 178 22.1 22.1 991 874 3260 19.7 17.5 215 197 32.3 34.0 119 241 2870 143 S 610 X 149 S 610 x 119 S 510 x 143 S 510 x 112 S 460 X 104 S 460 X 81.4 23.4 18200 14200 20.3 16.1 695 516 508 183 162 2700 2100 196 194 20.8 123 228 152 33.8 29.5 112 20.2 533 104 81.4 1320 10300 457 457 18.1 11.7 1.59 1.52 17.6 17.6 384 333 1690 1460 170 180 10.0 8.62 126 113 27.4 29.0 381 S 380 x 74 S 380 X 64 74.0 64.0 146 9480 8130 14.0 10.4 143 140 15.8 15.8 202 186 1060 6.49 5.95 90.6 85.0 26.2 26.9 973 381 151 S 310 x 74 S 310 X 52 74.0 52.0 9420 6580 305 305 17.4 10.9 139 129 16.7 13.8 126 94.9 829 624 116 120 6.49 4.10 93.2 63.6 26.2 24.9 S 250 X 52 S 250 X 37.8 52.0 37.8 6650 4810 254 254 15.1 7.90 125 118 12.5 12.5 61.2 482 96.0 103 3.45 2.80 55.1 47.4 22.8 24.1 51.2 403 S 200 X 34 S 200 X 27.4 34.0 27.4 4360 3480 203 203 11.2 6.88 106 102 10.8 10.8 26.9 23.9 265 236 785 82.8 1.78 1.54 33.6 30.2 20.2 21.0 25.7 152 11.8 9.12 143 17.1 S 150 X 25.7 S 150 X 18.6 18.6 3260 2360 152 5.89 90.7 84.6 9.12 10.9 9.16 57.9 62.2 0.953 0.749 21.0 17.7 120 17.8 S 100 X 14.1 S 100 X 11.5 14.1 11.5 1800 1460 102 102 8.28 4.90 71.1 67.6 7.44 7.44 2.81 2.52 55.4 49.7 39.6 41.7 0.369 0.311 10.4 9.21 14.3 14.6 Note: Axes 1-1 and 2-2 are principal centroidal axes.

TABLE E-3(b) PROPERTIES OF CHANNEL SECTIONS (C SHAPES) – SI UNITS (ABRIDGED LIST) Axis 1-1 Axis 2-2 Flange Mass Web Average meter Area Depth thickness Width thickness kg mm mm mm mm per Designation 1 S r 1 S r c x 10mm x 10 mm mm x 10mm x 10 mm mm mm C 380 x 74 C 380 X 60 C 380 X 50.4 74.0 60.0 50.4 9480 7610 6450 381 381 381 18.2 13.2 10.2 94.5 89.4 86.4 165 16.5 16.5 168 145 131 882 762 688 133 138 143 4.58 3.82 3.36 61.8 54.7 50.6 22.0 20.3 22.4 19.8 22.9 20.0 67.4 442 109 C 310 X 45 C 310 X 37 C 310 X 30.8 2.13 45.0 37.0 30.8 305 305 5680 4740 3920 13.0 9.83 7.16 80.5 77.5 74.7 12.7 12.7 12.7 59.9 53.7 393 352 113 117 1.85 1.61 33.6 30.6 28.2 19.4 17.1 19.8 17.1 20.2 17.7 305 C 250 X 45 C 250 X 37 C 250 X 30 C 250 X 22.8 45.0 37.0 30.0 22.8 5680 4740 3790 2890 254 254 254 254 17.1 13.4 9.63 6.10 77.0 73.4 69.6 66.0 11.1 11.1 11.1 11.1 42.9 37.9 32.8 28.0 339 298 259 221 86.9 89.4 93.0 98.3 1.64 1.39 1.17 0.945 27.0 24.1 215 18.8 17.0 16.5 17.1 15.7 17.5 15.4 18.1 16.1 C 200 x 27.9 C 200 X 20.5 C 200 X 17.1 27.9 20.5 17.1 3550 2610 2170 203 203 203 12.4 7.70 5.59 64.3 59.4 57.4 9.91 9.91 9.91 18.3 15.0 13.5 180 148 133 71.6 75.9 79.0 0.820 0.633 0.545 16.6 13.9 12.7 15.2 14.4 15.6 14.1 15.8 14.5 2460 54.9 8.71 C 150 X 19.3 C 150 X 15.6 C 150 X 12.2 19.3 15.6 12.2 1990 152 152 152 11.1 7.98 5.08 $1.6 8.71 7.20 6.29 5.45 94.7 82.6 71.3 54.1 56.4 59.4 0.437 0.358 0.286 105 9.19 8.00 13.3 13.1 13.4 12.7 13.6 13.0 1540 48.8 8.71 C 100 X 10.8 C 100 X 8 10.8 1370 8.00 1020 102 102 8.15 4.67 43.7 40.1 7.52 7.52 1.91 1.60 37.5 31.5 37.3 39.6 0.177 0.130 5.52 4.54 11.4 11.7 11.3 11.6 Notes: 1. Axes 1-1 and 2-2 are principal centroidal axes. 2. The distance is measured from the centroid to the back of the web. 3. For axis 2-2, the tabulated value of S is the smaller of the two section moduli for this axis.

3 Mf 9 F 1771 +41 La f Lot Table Diagram No h K Y b Fig. 6.3

= 1 3 = Two simple steel beams are acted by the same loading (Vi- slavičius 2007:31, Table 6.5, diagram No. 3, lengths L 320 cm, L = 240 cm, L = 200 cm, the force F= 36 kN, the moment Mf=-30 kN.m, and the intensity of the uniformly distributed loading g = 24 kN/m), as shown in Fig. 1 a. The cross section of the first beam is an American standard S-shape, the cross section of the sec- ond beam is rectangular (Vislavičius 2007:30, Fig. 6.3, b = 65 mm). Elastic modulus of the steel is E= 205 GPa, allowable stress - allow=210 MPa. 1. Determine the required standard shape for the first beam. 2. Determine the required depth h for the second beam (dimen- sion h should be divisible by 20 mm, for example, 20, 40,..., 180, 200, 220, ... mm); investigate the stress state at the point K which is in the first (from the left end) section with bending moment and shear force unequal to zero; the position of the point as shown in Fig. 6.3 [2] (a = 20 mm). 3. Determine for the first beam the deflection of the section ex- cluding supports by the moment-area technique. =

3 9 F telho flot La t Table 6.5, Diagram No 3 h y b Fig. 6.3