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Aluminium Design and Construction John Dwight

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stress for such materials, when checking the ultimate limit state (Section<br />

5.3.1).<br />

The type of member for which the serviceability limit state is most<br />

likely to be critical is a beam, especially if simply supported, for which<br />

� E can be calculated employing conventional deflection formulae (Section<br />

8.8). It is rarely necessary to check the stiffness of truss type structures.<br />

The designer must decide on a suitable value for � L , preferably in<br />

consultation with the client. The important thing is not to insist on an<br />

unduly small deflection, when a larger one can be reasonably tolerated.<br />

This is especially important in aluminium with its relatively low modulus.<br />

A general idea of the deflection that can be tolerated is given by the<br />

value suggested for purlins in BS.8118, namely � L =span/100 (under<br />

dead+snow+wind).<br />

For a component that has to carry a combination of loads, the strict<br />

application of equation (5.5) may be thought too severe. A more lenient<br />

approach is to base � E on a reduced loading, in which the less severe<br />

imposed loads are factored by � f2 as given in Table 5.1.<br />

Turning to joints, it is never necessary to check the deformation of<br />

welded ones, <strong>and</strong> even for mechanical joints an actual calculation is<br />

seldom required. With the latter, if stiffness is important, a simple solution<br />

is to specify close-fitting bolts or rivets, rather than clearance bolts.<br />

Alternatively, for maximum joint stiffness, a designer can call for<br />

frictiongrip (HSFG) bolts, in which case a check must be made to ensure<br />

that gross slip does not occur before the nominal working load is reached.<br />

In so doing the calculated friction capacity is divided by a serviceability<br />

factor (� s ), as explained in Section 11.2.7.<br />

5.1.5 Limit state of fatigue<br />

For a structure or component subjected to repeated loading, thous<strong>and</strong>s<br />

or millions of times, it is possible for premature collapse to occur at a<br />

low load due to fatigue. This can be a dangerous form of failure without<br />

prior warning, unless the growth of cracks has been monitored during<br />

service.<br />

Fatigue is covered in Chapter 12. The usual checking procedure is<br />

to identify potential fatigue sites <strong>and</strong> determine the number of loading<br />

cycles to cause failure at any of these, the design being acceptable if<br />

the predicted life at each site is not less than that required. The number<br />

of cycles to failure is normally obtained from an endurance curve,<br />

selected according to the local geometry <strong>and</strong> entered at a stress level<br />

(actually stress range) based on the nominal unfactored loading.<br />

Alternatively, for a mass-produced component, the fatigue life can<br />

be found by testing.<br />

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

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