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Aluminium Design and Construction John Dwight

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i.e. a joint extending in the same direction as the applied stress, as for the<br />

web/flange connection in a beam. For such a joint, it is reasonable to<br />

assume that there is little adverse effect due to the presence of the adhesive,<br />

<strong>and</strong> take a class approaching that for the basic wrought metal (class 60).<br />

Secondly, consider the case when fatigue loading acts transverse to<br />

a bonded joint. Here there are two possibilities: tensile failure in the<br />

aluminium, <strong>and</strong> shear failure in the adhesive. The former can be h<strong>and</strong>led<br />

in the same way as if the component were monolithic (no joint), taking<br />

due account of the stress concentration caused by the geometry. The<br />

latter is more difficult, due to lack of generally available data, <strong>and</strong><br />

testing becomes necessary.<br />

12.6 ENDURANCE CURVES<br />

British St<strong>and</strong>ard BS.8118 provides endurance curves in the form of<br />

stress range fr plotted against endurance N (number of cycles to failure),<br />

covering the nine classes of fatigue detail. These are presented on a<br />

log-log plot, where they appear as a series of straight lines, the general<br />

form being shown diagramatically in Figure 12.6. Different curves are<br />

provided for constant <strong>and</strong> variable amplitude loading:<br />

1. Constant amplitude curves. For any given class, line A is defined by<br />

the class number (=fr in N/mm2 at N=2×106 ) <strong>and</strong> the reverse gradient<br />

1/m (as specified in Table 12.5). This line continues down to a horizontal<br />

cut-off at N=107. 2. Variable amplitude curves. For a given class, this uses the same line A,<br />

but only down to N=5×106 . There is then a transition line B of reverse<br />

gradient 1/(m+2) going from N=5×106 to 108 , followed by a (lower)<br />

horizontal cut-off.<br />

For any given class, the equations to lines A <strong>and</strong> B are as follows, where<br />

the values of kA <strong>and</strong> k B appear in Table 12.5:<br />

(12.4a)<br />

(12.4b)<br />

Also given in the table are the cut-off values (f oc <strong>and</strong> f ov ) for each class,<br />

the idea being that a repeated stress range of lower magnitude is nondamaging.<br />

The variable amplitude case has a lower cut-off, because<br />

occasional stress ranges occurring above f oc will produce some propagation,<br />

thus causing lower stress ranges to become damaging.<br />

The resulting BS.8118 endurance curves are presented in Figure 12.7.<br />

Comparison of these with certain European data might suggest that at<br />

high N the British St<strong>and</strong>ard endurance curves for welded details are too<br />

low. In fact, it would be wrong to conclude that the British St<strong>and</strong>ard is<br />

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

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