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Aluminium Design and Construction John Dwight

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Table 9.5 Necessary checks for members under combined axial load (P) <strong>and</strong> moment (M)<br />

M – =equivalent uniform value of M, found as in Section 8.7.3;<br />

P c =calculated resistance to axial load (on its own);<br />

M c =calculated resistance to moment (on its own).<br />

Check A: Localized failure of the cross-section<br />

(9.18)<br />

where: P c =value found as in Section 9.3 based on p a<br />

M c =value found as in Section 8.2, reduced to allow for shear.<br />

Check B: General yielding along the length<br />

where: P c =value found as in Section 9.4 based on p o<br />

M c =as for check A, but with no reduction for shear.<br />

Check C: Overall buckling in the plane of the moment<br />

(9.19)<br />

(9.20)<br />

where: P c =resistance to overall column buckling in the plane of the<br />

moment or to torsional buckling,<br />

M c =as for check A, but with no reduction for shear.<br />

Check D: Overall buckling out of the plane of the moment<br />

where: P c =resistance to column buckling about other axis,<br />

S=plastic modulus of gross section about axis of M,<br />

p b =limiting stress for LT buckling (Section 8.7.4).<br />

Copyright 1999 by Taylor & Francis Group. All Rights Reserved.<br />

(9.21)

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