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Aluminium Design and Construction John Dwight

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Table 9.4 Torsional buckling of certain st<strong>and</strong>ardized profiles: parameter values<br />

Notes. 1. Refer to Figure 9.14 for section geometry.<br />

2. Despite its asymmetry, the value of k for section S2 may be found accurately enough as in<br />

Section 9.6.8(4) taking s as given above.<br />

3. For the back-to-back angles it is assumed that the two components are separated by a distance<br />

t (at least).<br />

4. For the channel S4:<br />

where � s =slenderness parameter for column buckling about ss, <strong>and</strong><br />

�, �=parameters to be calculated using the relevant formulae in Table<br />

9.2. Simple values are given for X.<br />

9.6.11 Torsional buckling of certain st<strong>and</strong>ardized sections<br />

Figure 9.14 shows four section shapes that are st<strong>and</strong>ardized in Britain<br />

(BS.1161), having been proposed in 1952 by M.Bridgewater <strong>and</strong> J.B.<br />

<strong>Dwight</strong> (except for the tee), as efficient profiles with a good compromise<br />

between flexural, torsional <strong>and</strong> local stability. Each comes in a range of<br />

geometrically similar sizes, <strong>and</strong> Table 9.3 lists their section properties<br />

(in terms of the thickness t).<br />

Table 9.4 lists seven different shapes of strut section using these<br />

profiles, for which the torsional buckling slenderness � can be readily<br />

determined from expression (9.10), with � t read direct from the table,<br />

while k is found as in 9.6.8(4) using X <strong>and</strong> s as listed in the table.<br />

9.7 COMBINED AXIAL FORCE AND MOMENT<br />

9.7.1 The problem<br />

When a member has to carry simultaneous axial force P <strong>and</strong> moment<br />

M, it is obviously important to allow for interaction between the two,<br />

typical examples being eccentrically loaded axial members <strong>and</strong> ‘beamcolumns’.<br />

Below we provide checks that cover failure of the cross-section<br />

<strong>and</strong> overall buckling of the member. A simplified procedure is available<br />

for checking simple angles, channels <strong>and</strong> tees connected to one side of<br />

a gusset (Section 9.7.9).<br />

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

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