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Steel Designers Manual - TheBestFriend.org

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This material is copyright - all rights reserved. Reproduced under licence from The <strong>Steel</strong> Construction Institute on 12/2/2007<br />

To buy a hardcopy version of this document call 01344 872775 or go to http://shop.steelbiz.<strong>org</strong>/<br />

<strong>Steel</strong> <strong>Designers</strong>' <strong>Manual</strong> - 6th Edition (2003)<br />

406 Columns and struts<br />

Effectively this means that the member is assumed to be made of a steel having a<br />

lower material strength than is actually the case. As noted above, BS 5400: Part 3<br />

does not permit the use of columns with slender outstands.<br />

15.4.1 Columns with slender webs<br />

Reference 1 indicates that most UB and a few RHS, even in S275 steel, will be<br />

slender according to BS 5950: Part 1 if used as struts. A suitable allowance for the<br />

weakening effect of local buckling should therefore be made. Two different procedures<br />

are given, outlined in the following example.<br />

Consider a 406 ¥ 140 ¥ 39 UB (the UB with the highest d/t) in S275 material. This<br />

has a d/t of 57.1 compared with the limit in Table 11 of 40 assuming the section to<br />

be fully stressed: i.e. r2 as defined in clause 3.5.5 is equal to unity (for r2 < 1 a higher<br />

limit is applicable).<br />

(1) Use clause 3.6.5, limiting d/t = 40(275/pyr) 0.5<br />

and reduced strength, p yr = ( 40 57. 1) ¥ 275<br />

2<br />

= 134. 8 N/mm<br />

For L E/r y = 100, using Appendix C for p yr = 134.8 N/mm 2 and strut curve ‘a’<br />

2<br />

pc<br />

= 103. 5 N/mm<br />

Pc<br />

= 49. 4 ¥ 103. 5 10<br />

= 511 kN<br />

(2) Since the web is slender, obtain Aeff from clause 3.6.2.2 using Figure 8 of<br />

BS 5950: 2001-1.<br />

Aeff = 4970 - 40 ¥ 6.4<br />

= 4714 mm 2<br />

For sections containing class 4 element(s) clause 4.7.4 gives<br />

P c = A effp cs<br />

in which p cs is obtained for a slenderness l(A eff/A g) 0.5<br />

05 .<br />

= 100( 4714 4970) = 97. 0<br />

From Table 24, using strut curve ‘a’ and py = 275 N/mm 2 , pcs = 164 N/mm 2<br />

\ Pc = 4714 ¥ 164 1000<br />

= 773 kN<br />

This compares with the value for a ‘fully effective equivalent’ of 780 kN.<br />

2

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