Steel Buildings in Europe

Title A.1 Simply supported, laterally unrestrained beam 3 of 7 4 – 59 Permanent action: G k = 0,482 + (2,88 + 0,75) × 2,50 = 9,56 kN/m Variable action (Imposed load): Q k = 2,5 × 2,5 = 6,25 kN/m 1.5.3. Effects on the beam ULS combination:  G G k +  Q Q k = 1,35 × 9,56 + 1,50 × 6,25 = 22,28 kN/m EN 1990 § 6.4.3.2 Bending moment diagram M 90,48 kNm Maximum bending moment occurs at mid span and is given by: M y,Ed = 8 2 wL = 8 22,28 5,70 2  = 90,48 kNm Shear force diagram V 63,50 kN Maximum shear force at supports: V Ed = 0,5 × 22,28 × 5,70 = 63,50 kN 1.5.4. Section classification : The parameter  is derived from the yield strength: 1,0 235 235 235 y    f  EN 1993-1-1 Table 5.2 Outstand flange: flange under uniform compression c = ( b – t w – 2 r ) / 2 = (160 – 7,5 – 2 × 18) / 2 = 58,25 mm c / t f = 58,25 / 11,5 = 5,07 ≤ 9  = 9,0 Flange Class 1 Internal compression part: web under pure bending c = h – 2 t f – 2 r = 330 – 2 × 11,5 – 2 × 18 = 271 mm c / t w = 271 / 7,5 = 36,1 < 72  = 72 Web Class 1 The class of the cross-section is the highest class (i.e. the least favourable) of the flange and the web. Therefore, the overall section is Class 1. For Class 1 sections, the ULS verifications must be based on the plastic resistance of the cross-section.