(Solved): 4. An IPN 300 beam AB of a length L-3 m is held between immoveable supports (see profile properties ...

4. An IPN 300 beam AB of a length L-3 m is held between immoveable supports (see profile properties). The beam has a modulus of elasticity E-200 GPa and coefficient of thermal expansion a = 12e-6 /deg C. If the temperature of the beam is raised uniformly by an amount AT-20 deg C, calculate the thermal stress or in the beam. RA A AT B RB Properties of European Standard Beams Designation IPN 550 IPN 500 IPN 450 IPN 400 IPN 380 IPN 360 IPN 340 IPN 320 IPN 300 IPN 280 IPN 260 IPN 240 IPN 220 IPN 200 Mass Area Depth Width per of of of meter section section section b GA kg/m 166 115 92.4 84 76.1 68 61 54.2 47.9 41.9 36.2 31.1 26.2 ? ? ?.??5 ?? ??? |>| 21.9 17.9 14.3 11.1 cm² mm 212 179 97 86.7 77.7 61 53.3 46.1 39.5 33.4 27.9 22.8 18.3 14.2 10.6 4 7.58 550 500 450 400 380 360 340 320 300 280 260 240 220 200 IPN 180 IPN 160 PN 140 IPN 120 IPN 100 8.34 IPN 80 5.94 Note: Axes 1-1 and 2-2 are principal centroidal axes 180 160 140 120 100 80 mm 200 19 185 18 170 155 131 125 119 113 106 98 149 143 137 12.2 06 Thickness 82 74 66 mm 50 42 16.2 14.4 13.7 13 8.7 8.1 7.5 mm 30 27 6.9 6.3 5.7 5.1 4.5 11.5 17.3 10.8 16.2 C 10.1 15.2 94 14.1 Strong axis 1-1 243 45850 21.6 29210 cm² 20.5 24010 19.5 99180 68740 19610 18.3 15700 3.9 5.9 12510 9800 7590 5740 4250 13.1 12.2 3060 11.3 2140 10.4 1450 9.5 935 8.6 573 7,7 328 6.8 171 17.8 cm¹ cm 3610 2750 2040 1460 782 653 542 442 354 278 214 1260 15 1090 14.2 923 13.5 674 12.7 555 11.9 451 Weak axis 2-2 161 117 cm 21.6 3490 19.6 2480 17,7 1730 15.7 1160 9.59 8.8 8 975 818 11.1 364 10.4 288 221 162 117 5? 5? cm³ cm 349 268 203 149 131 114 98.4 84.7 72.2 4.02 3.72 3,43 3.02 29 2.8 2.67 2.56 61.2 2.45 51 2.32 41.7 2.2 33.1 26 2.02 1.87 7.2 81.3 19.8 1.71 6.4 54.7 14.8 1.55 81.9 5.61 35,2 10.7 14 54.7 4.81 21.5 7.41 1.23 34.2 4.01 12.2 4.88 1.07 19.5 3.2 6.29 3 0.91