Steel Buildings in Europe
Title Worked Example: Bending moment resistance 2 of 2 8 - 17 M cr = z 2 t 2 z w 2 z 2 1 EI L GI I I L EI C = 2 4 2 3800 10 2142 210000 1, 77 4 2 4 2 4 9 10 2142 210000 89,3 10 81000 3800 10 2142 10 1249 M cr = 1556 10 6 Nmm Appendix C of Single-Storey Steel Building, Part 4 LT cr y y M W f = 6 3 10 1556 355 10 2194 = 0,708 §6.3.2.2 For hot rolled sections LT = 2 LT LT,0 LT LT 0,5 1 LT,0 0,4 and 0,75 §6.3.2.3 2,5 b h Curve c for hot rolled I sections LT 0,49 Table 6.3 Table 6.5 LT = 2 0,5 1 0, 49 0, 708 0, 4 0, 75 0, 708 = 0,763 LT = 2 LT 2 LT LT 1 LT = 2 2 0, 75 0, 708 0, 763 0, 763 1 = 0,822 §6.3.2.3 2 LT 1 = 2 0, 708 1 = 1,99 Therefore LT = 0,822 f = 1 – 0,5 (1 - k c ) [1 – 2,0 ( 0,8) ] 2 LT k c = 1,33 0,33 1 = 1,33 0,33 0 1 = 0,75 f = 1 – 0,5 (1 – 0,75) [1 – 2,0 (0,708 – 0,8) 2 ] = 0,877 χ LT mod = 0,937 0,877 0,822 LT f M b,Rd = M1 pl,y y LT f W = 6 3 10 1,0 355 10 2194 0,937 = 730 kNm
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