A 6 m long pin-ended steel column of E=200GPa caries a load P₁=400kN and eccentrically applied load of P2=80 kN. Find the maximum deflection and max stress in the column. See the table S200X34 I-beam (a) P=480 kN P₁ =400 kN 120 mm P2=80 kN e=20 mm (b) (c) TABLE B.9 Properties of Steel S Shapes, American Standard I-Beams x (SI Units) Flange Web Axis x-x Axis y-y Area, Depth, Width, Thickness, Thickness, I, 10% 1', S, 103 I, 10 r, Designation 103 mm² mm mm mm mm mm⭑ mm mm³ mm4 mm S610 x 180 22.9 622 204 27.7 20.3 1320 240 4240 34.9 39.0 x 158 20.1 622 200 27.7 15.7 1230 247 3950 32.5 39.9 x 149 19.0 610 184 22.1 19.0 995 229 3260 19.9 32.3 × 119 15.2 610 178 22.1 12.7 878 241 2880 17.6 34.0 S'510 x 141 18.0 508 183 23.3 20.3 670 193 2640 20.7 33.8 x 128 16.4 516 179 23.4 16.8 658 200 2550 19.7 34.4 x 112 14.3 508 162 20.1 16.3 533 193 2100 12.3 29.5 x 98.3 12.5 508 159 20.2 12.8 495 199 1950 11.8 30.4 S 460 x 104 13.3 457 159 17.6 18.1 385 170 1685 10.0 27.4 × 81 10.4 457 152 17.6 11.7 335 180 1466 8.66 29.0 S 380 x 74 9.5 381 143 15.8 14.0 202 146 1060 6.53 26.2 x 64 8.13 381 140 15.8 10.4 186 151 977 5.99 27.2 S310 x 74 9.48 305 139 16.8 17.4 127 116 833 6.53 26.2 x 60.7 7.73 305 133 16.7 11.7 113 121 741 5.73 26.8 x 52 6.64 305 129 13.8 10.9 95.3 120 625 4.11 24.9 $250 x 52 6.64 254 126 12.5 15.1 61.2 96 482 3.48 22.9 x 38 4.81 254 118 12.5 7.9 51.6 103 406 2.83 24.2 S 200 x 34 4.37 203 106 10.8 11.2 27 78.7 266 1.79 20.3 x 27 3.5 203 102 10.8 6.9 24 82.8 236 1.55 21.1 S-150 x 26 3.27 152 90 9.1 11.8 11.0 57,9 144 0.96 17.2 x 19 2.36 152 84 9.1 5.8 9.20 62.2 121 0.76 17.9 S 130 x 15 1.89 127 76 8.3 5.4 5.07 51.8 79.8 0.513 16.3 $ 100 x 14 1.80 102 70 7.4 8.3 2.83 39.6 55.5 0.38 14.5 x 11 1.45 102 67 7.4 4.8 2.53 41.6 49.6 0.32 14.8 S75 x 11.2 1.43 76 64 6.6 8.9 1.20 29.0 31.6 0.254 13.1 x 8.5 1.07 76 59 6.6 4.3 1.03 31.0 27.1 0.190 13.3 'An American standard beam is designated by the letter S followed by the nominal depth in millimeters and the mass in kilograms per meter.