Question 3 A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in

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Question 3 A Steel Beam Abc Carries A Uniformly Distributed Load Of W Kn M Over The Unsupported Length Bc As Shown In 1 (56.36 KiB) Viewed 78 times

Question 3 A steel beam ABC carries a uniformly distributed load of w (kN/m) over the unsupported length BC, as shown in Figure Q3(a). The beam has a wide-flange section shown in Figure Q3(b) and designated as W610 * 82 with geometrical properties as shown in Table 1. Assuming that the beam behaves as elastic-perfectly plastic material with a yield strength of bye 210 MPa: to fully plastic (a) Draw the moment diagram of the beam and indicate the section that carries the maximum bending moment. (b) Knowing the shape factor of the beam, k = 1.15 calculate the magnitude of w, (kN/m) for the condition of plastic collapse/hinge. (e) Determine the yielded length, L (m) along the beam where the section has experienced yielding corresponding to the plastic collapse condition (part (b)). W (kN/m) Ic 10 m -5 m (b) () Figure Q3 Table 1 1 s 5 1 mm Wide-Flange Sections or W Shapes SI Units Flange Web Area Depth thickness with thickness Designation А d by mm x kg/m mm? mm mm mm mm W610 X 155 19 800 611 12.70 3940 19,0 W610 x 140 17 900 13.10 2000 222 W610 X 125 15 00 612 11.90 229,0 19.6 W610 x 113 14 400 BOS 11.20 2280 173 W610 x 10 12 900 NB 10.50 2280 14.9 W610 X 92 11 O 3 10.90 179,0 15.0 W610 X 82 10 500 599 10.00 178.0 12.8 617 10 mm 10 mm 1 290 4220 1 120 3610 SRS 3220 875 2880 764 2.500 606 2140 560 1870 mm 10 mm 10mm 255 105 667 250 45.1 392 249 393 343 247 43 301 243 295 259 144 161 231 136 739 50.2 49.7 48 473 349 339