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Aluminium Design and Construction John Dwight

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for so doing. In welded members, they are based on the strength of the<br />

parent metal, even though the material in the heat-affected zone (HAZ)<br />

is weakened due to the welding. The latter effect is looked after by<br />

taking a reduced (‘effective’) thickness in the softened region, as explained<br />

in Chapter 6.<br />

The stress most used in member design is p o . In steel codes, this is<br />

taken equal to the yield stress, <strong>and</strong> it seems reasonable in aluminium<br />

to employ the equivalent value, namely the 0.2% proof stress f o . This is<br />

generally satisfactory, but problems can arise with ‘low-n’ materials<br />

having a very rounded stress-strain curve (f u f o ) . For these, the use of<br />

p o =f o will result in a small amount of irrecoverable plastic strain at<br />

working load, which may not be acceptable.<br />

To allow for this, we propose that when f u > 2f o a reduced value<br />

should be taken for p o , as shown in Table 5.3. This expression has been<br />

designed to limit the plastic component of the strain at working load<br />

to a value of about 0.0002, i.e. one-tenth of the proof stress value (0.2%),<br />

assuming that the stress s then arising is 0.65p o . Such an approach<br />

seems reasonable. The BS.8118 rule, which we believe to be over-cautious,<br />

is compared with ours in Figure 5.3. The estimated plastic strains at<br />

working load as given by the two methods are plotted in Figure 5.4,<br />

based on the Ramberg-Osgood stress-strain equation (4.3).<br />

For the stress p a , we generally follow the British St<strong>and</strong>ard <strong>and</strong> take the<br />

mean of proof <strong>and</strong> ultimate stress (although some codes take p a =f u ). Again,<br />

there is a problem with low-n material, although a greater degree of<br />

plastic strain can now be tolerated, as we are concerned with yielding at<br />

a localized cross-section of the member. In our method, we take a cut-off<br />

Figure 5.3 Relation between limiting stresses (p o , p a ) <strong>and</strong> material properties (f o ,f u ).<br />

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

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