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Aluminium Design and Construction John Dwight

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plates (if fitted), p v =limiting material stress for the web material in<br />

shear, p v1 =buckling stress without tension-field action (Figure 8.11), <strong>and</strong><br />

v 2 =tension-field parameter (Section 8.3.6).<br />

The section of the end-post must be adequate to resist M <strong>and</strong> V<br />

simultaneously, when checked as in Section 8.4.<br />

8.7 LATERAL-TORSIONAL BUCKLING<br />

8.7.1 General description<br />

When the compression flange of a deep beam is inadequately stabilized<br />

against sideways movement, there is a danger of premature failure due<br />

to lateral-torsional (LT) buckling, before the full moment resistance of<br />

the cross-section has been reached (Figure 8.19). The compression flange<br />

deflects sideways, dragging the tension flange with it, thus producing<br />

a buckling mode that is a combination of lateral <strong>and</strong> torsional deformation<br />

[15, 27].<br />

As a very rough guide, it may be assumed that LT buckling will not<br />

be critical if lateral supports to the compression flange are provided at<br />

a spacing less than 40�ry , where ry is the minor axis radius of gyration<br />

of the section, <strong>and</strong> �=�(250/po ). Nor will it be a factor for hollow shapes,<br />

such as box sections, unless these are very deep <strong>and</strong> narrow. Generally,<br />

it is found that LT buckling becomes serious for deep non-hollow shapes,<br />

especially when the metal is thin.<br />

If it is possible that LT buckling might be a critical factor, the adequacy<br />

of any proposed design may be checked using the procedure given below.<br />

The basic method considers the case of an applied moment acting about<br />

the major principal axis of the section. If there is also some moment about<br />

Figure 8.19 Lateral-torsional buckling.<br />

Copyright 1999 by Taylor & Francis Group. All Rights Reserved.

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