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Aluminium Design and Construction John Dwight

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Figure 8.15 Web crushing.<br />

8.5.2 Crushing of unstiffened webs<br />

In the absence of a bearing stiffener, either for economy or because of a<br />

rolling load (Figure 8.15), it is necessary to consider the possibility of<br />

localized web crushing. The designer must determine the calculated<br />

resistance W c to such failure, <strong>and</strong> ensure that this is not less than � m times<br />

the factored load W acting at the point considered, where W is the nominal<br />

(working) load or reaction at that point multiplied by � f . The BS.8118<br />

procedure for finding W c is to obtain two values, based on yield <strong>and</strong> on<br />

buckling, <strong>and</strong> take the lower. Both assume a 45° dispersion angle.<br />

1. Yield failure. The critical position for this will typically be either adjacent<br />

to the flange or adjacent to a tongue-plate. For any given position,<br />

W c may be calculated using the expression:<br />

Wc =ctwPa (8.17)<br />

where: c=width of dispersion zone at the level considered,<br />

tw =actual metal thickness t at that level, if unwelded,<br />

=kz1t in an HAZ region,<br />

kz1 =HAZ softening factor (Section 6.4),<br />

pa =limiting stress for the material.<br />

If necessary, W c should be calculated at two or more levels, <strong>and</strong> the<br />

lowest value taken.<br />

2. Buckling failure. For this, it is assumed that the load is carried by a<br />

vertical strip of the web acting as a strut, with cross-section c ° t where<br />

c ° is the value of c at the neutral axis. W c is found thus:<br />

W c =c ° tp b<br />

(8.18)<br />

where t=actual web thickness, <strong>and</strong> p b =limiting stress based on column<br />

buckling of the assumed strip. p b may be read from a type C1 buckling<br />

curve defined by p 1 =p ° (Section 9.5.2), taking the slenderness � as<br />

follows:<br />

�=�(d/t) (8.19)<br />

where d is the web-plate depth between flanges or tongue plates if<br />

fitted. When the loaded flange is held from out-of plane movement<br />

relative to the other flange, � may be taken in the range 2.5–3.5,<br />

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

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