(Solved): The steel beam shown is constructed using a W460 x 74 profile. It must support the distributed loa ...

The steel beam shown is constructed using a W460 x 74 profile. It must support the distributed load w = 30 kN/m, and the three point loads shown in Figure 1. Requested: a) Check if the beam works safely under stresses if it is known that the allowable stress of the steel is o= 210 MPa. Do not consider the self weight of the beam. A b) Calculate the deflection that occurs at the free ends of the beam (points A and D). Consider E = 200GPa. W460 x 74 profile: Fin Thickness Area Height Width bf, in Designation A, in² d, in tf, in W460 x 15820100 475 284 23.9 15.0 113 14 400 462 17.3 74 9 480 457 14.5 52 6 650 450 10.8 279 191 152 25kN Soul thickness tw, in 795 10.8 9.02 7.62 Figure 2 4.0m Ix, in 3 340 554 333 212 W=30kN/m 3.0m B Axis X-X Sx, in ³ 199 2 390 1 460 944 rx, in 91.6 10kN Figure 1 196 187 179 6.0m ly, in ¹ 646 63.3 16.7 6.37 Axis Y-Y Sy, in ³ 67.6 452 175 83.9 3.0m Ty, in 66.3 41.9 31.0 15kN D