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Aluminium Design and Construction John Dwight

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For example:<br />

The loading spectrum is unknown <strong>and</strong> cannot be reliably calculated.<br />

The geometry of the structure makes stress-analysis difficult.<br />

It is not clear to which fatigue class a certain detail should be assigned.<br />

Testing may also be preferred even when method (1) would be possible.<br />

For example with a mass-produced component, built to closely controlled<br />

st<strong>and</strong>ards of workmanship, it may be found that fatigue testing of<br />

prototypes would indicate a better performance than that predicted<br />

from the st<strong>and</strong>ard endurance curves. Advice on fatigue testing appears<br />

in BS.8118.<br />

12.3 CHECKING PROCEDURE (SAFE LIFE)<br />

12.3.1 Constant amplitude loading<br />

The simplest type of fatigue calculation is when a single load is repeatedly<br />

applied to the structure, so that at any point there is a steady progression<br />

from minimum to maximum stress in each cycle without any intervening<br />

blips (Figure 12.1), referred to as constant amplitude loading. In such a<br />

case, the checking procedure at each potential fatigue site is as follows:<br />

1. Decide on the design life of the structure. Refer to Section 12.3.3.<br />

2. Calculate the number of load cycles n during the design life.<br />

3. Determine the pattern <strong>and</strong> variation of nominal (unfactored) loading<br />

on the structure in each cycle.<br />

4. Calculate the resulting stress range (f r ) at the position being considered<br />

—generally taken as the difference between maximum <strong>and</strong> minimum<br />

stress in each cycle. Refer to Sections 12.3.4 <strong>and</strong> 12.4.<br />

5. Establish the class of the detail at the point considered. Refer to<br />

Section 12.5.<br />

6. Using the endurance-curve appropriate to the class, read off the<br />

predicted number of cycles to failure (N) corresponding to the stress<br />

range f r . Refer to Section 12.6.<br />

7. The fatigue resistance at the point considered is acceptable if N � n.<br />

Figure 12.1 Constant amplitude loading. f r =stress range, f m =mean stress.<br />

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

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