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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 />

Cross-sectional dimensions and moment–rotation behaviour 375<br />

Fig. 13.2 Local buckling of column flange<br />

unlikely to affect significantly their load-carrying capacity when used as beams or<br />

columns. Greater care is, however, necessary when using fabricated sections for<br />

which the proportions are under the direct control of the designer. Also, coldformed<br />

sections are often proportioned such that local buckling effects must be<br />

accounted for.<br />

13.2 Cross-sectional dimensions and moment–rotation behaviour<br />

Figure 13.3 illustrates a rectangular box section used as a beam. The plate slenderness<br />

ratios for the flanges and webs are b/T and d/t, and elastic stress diagrams for<br />

both components are also shown. If the beam is subject to equal and opposite end<br />

moments M, Fig. 13.4 shows in a qualitative manner different forms of relationship<br />

between M and the corresponding rotation q.<br />

Assuming d/t to be such that local buckling of the webs does not occur, which of<br />

the four different forms of response given in Fig. 13.4 applies depends on the compression<br />

flange slenderness b/T. The four cases are defined as:<br />

(a) b/T £ b1, full plastic moment capacity Mp is attained and maintained for large<br />

rotations and the member is suitable for plastic design – plastic cross-section<br />

(Class 1).

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