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Aluminium Design and Construction John Dwight

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design does not, because stress at working load is not necessarily an<br />

indication of how near a component is to actual failure.<br />

5.1.4 Serviceability limit state<br />

The reason for considering this limit state is to ensure that the structure<br />

has adequate stiffness, the requisite calculations being usually performed<br />

with the structure subjected to unfactored nominal loading. It is usually<br />

concerned with the performance of members rather than joints.<br />

When a member is first taken up to its nominal working load, its<br />

deformation comprises two components: an irrecoverable plastic deflection<br />

<strong>and</strong> a recoverable elastic one (Figure 5.2). The main causes for the<br />

plastic deflection are the presence of softened zones next to welds (Chapter<br />

6) <strong>and</strong> the rounded stress-strain curve. Further factors are local stress<br />

concentrations <strong>and</strong> locked-in stresses, which also lead to premature<br />

yielding (as in steel).<br />

The serviceability check for a member simply consists of ensuring<br />

that its elastic deflection does not exceed an acceptable value:<br />

where � E =predicted elastic deflection under nominal loading, <strong>and</strong> �<br />

� E � L (5.5)<br />

L =limiting or permitted deflection.<br />

A specific design calculation for the plastic deflection (under the initial<br />

loading) is never made. This is because it is usually small, <strong>and</strong> disappears<br />

on subsequent applications of the load. However, with materials having<br />

a very rounded stress-strain curve, the initial plastic deformation tends<br />

to be more pronounced, <strong>and</strong> there is a danger that it may be unacceptable.<br />

We cover this possibility in design by arbitrarily decreasing the limiting<br />

Figure 5.2 Elastic (� E ) <strong>and</strong> plastic (� P ) components of deflection at nominal working load.<br />

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

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