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Aluminium Design and Construction John Dwight

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7.3 PLAIN FLAT ELEMENTS UNDER STRAIN GRADIENT<br />

We now consider the strain-gradient case, covering any element in a beam<br />

that is not parallel to the neutral axis, such as a web or an inclined flange<br />

element. The problem is how to apply the basic local buckling data, as<br />

established for uniform compression, to an element under strain gradient.<br />

7.3.1 Internal elements under strain gradient, general description<br />

First we consider internal elements, for which edges 1 <strong>and</strong> 2 may be<br />

identified as follows (Figure 7.8):<br />

Edge 1 the more heavily compressed edge;<br />

Edge 2 the other edge.<br />

A parameter � is introduced to describe the degree of strain gradient:<br />

where e 1 <strong>and</strong> e 2 are the strains arising at the two edges under simple<br />

beam theory (‘plane sections remain plane’). Two cases arise:<br />

1>�>0 inclined flange elements (edge 2 is in compression);<br />

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