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This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) The Steel Construction Institute Silwood Park, Ascot, Berks SL5 7QN Problem Worked examples 425 Subject COLUMN EXAMPLE 1 Chapter ref. ROLLED UNIVERSAL COLUMN 15 Design code Made by DAN Sheet no. BS 5950: Part 1 Checked by GWO Check the ability of a 203 ¥ 203 ¥ 52 UC in S275 steel to withstand an axial compressive load of 1250 kN over an unsupported height of 3.6 m assuming that both ends are held in position but are provided with no restraint in direction. Design to BS 5950: Part 1. The problem is as shown in the sketch. 3.6m II Take effective length LE = 1.0 L Table 22 \ L E = 1.0 ¥ 3.6 ¥ 10 3 = 3600 mm On the assumption that weak axis flexural buckling will govern Table 23 determine compressive strength p c from Table 24 curve c A = 66.4 cm 2 b/T = 8.16 Steelwork Design Guide ry = 5.16 cm d/t = 20.1 Vol 1 Since T < 16 mm take p y = 275 N/mm 2 Table 9 Check section classification for pure compression. 3.5 Need only check section is not slender; Table 11 for outstand b/T £ 15e 1
This material is copyright - all rights reserved. Reproduced under licence from The Steel Construction Institute on 12/2/2007 To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.org/ Steel Designers' Manual - 6th Edition (2003) 426 Worked examples The Steel Construction Institute Silwood Park, Ascot, Berks SL5 7QN for web d/t £ 40e e = ( 275 ) = 1. 0 py actual b/T = 8.16, within limit actual d/t = 20.1, within limit \ Section is not slender. P c = A gp c 4.7.4 l = L E/r y = 3600/51.6 = 70 4.7.3 For l = 70 and p y = 275 N/mm 2 Table 24 value of p c = 202 N/mm 2 \ P c = 6640 ¥ 202 = 1341 ¥ 10 3 N = 1341 kN This exceeds required resistance of 1250 kN and section is therefore OK. \ Use 203 ¥ 203 ¥ 52 UC Subject COLUMN EXAMPLE 1 Chapter ref. ROLLED UNIVERSAL COLUMN 15 Design code Made by DAN Sheet no. BS 5950: Part 1 Checked by GWO 2
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