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Aluminium Design and Construction John Dwight

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exceeds 1.5y 2 , where y 1 <strong>and</strong> y 2 are the distances from this axis to the<br />

further <strong>and</strong> nearer extreme fibres. For family selection, a strut is regarded<br />

as ‘welded’ if it contains welding on a total length greater than the<br />

largest dimension of the section.<br />

The different curves in each family are defined by the stress p 1 at<br />

which they meet the stress axis. Having selected the right family, the<br />

appropriate curve in that family is found by taking p 1 as follows:<br />

(9.5)<br />

where p o =limiting stress for the material (Section 5.3), A=gross section<br />

area, <strong>and</strong> A e =effective section area (Section 9.2).<br />

A e relates to the basic cross-section, with weakening at end connections<br />

ignored. For a compact extruded member, A e =A <strong>and</strong> p 1 =p o .<br />

In finding p 1 for a welded strut, HAZ effects must generally be allowed<br />

for, even when the welding occupies only a small part of the total<br />

length. They can only be ignored when confined to the very ends. It is<br />

seen that welded struts are doubly penalized: firstly, in the use of a less<br />

favourable family <strong>and</strong>, secondly in the adoption of an inferior curve in<br />

that family (lower p 1 ). No deduction for unfilled holes need be made in<br />

the overall buckling check, unless they occur frequently along the length.<br />

9.5.3 Column buckling slenderness<br />

The slenderness � parameter needed for entering the column buckling<br />

curve (C1, C2 or C3) is given by:<br />

(9.6)<br />

where l=effective buckling length, <strong>and</strong> r=radius of gyration about the<br />

relevant principal axis, generally based on the gross section.<br />

Figure 9.3 Column buckling, effective length factor K.<br />

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

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