aluminium in commercial vehicles - European Aluminium Association
aluminium in commercial vehicles - European Aluminium Association
aluminium in commercial vehicles - European Aluminium Association
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EUROPEAN ALUMINIUM ASSOCIATION ALUMINIUM IN COMMERCIAL VEHICLES CHAPTER VI 67<br />
Situations Ref. EN 1999-1-1 Resistance<br />
Torsion 6.2.7<br />
Bend<strong>in</strong>g and<br />
shear<br />
Bend<strong>in</strong>g and<br />
axial force<br />
Bend<strong>in</strong>g, shear<br />
and axial force<br />
6.2.7.2<br />
6.2.7.3<br />
The design St. Venants torsion moment resistance without warp<strong>in</strong>g:<br />
T Rd = W T,pl . f o<br />
√3 . γ M1<br />
W T,pl is the plastic torsion modulus<br />
For torsion with warp<strong>in</strong>g the capacity is the sum of two <strong>in</strong>ternal<br />
effects. For comb<strong>in</strong>ed shear force and torsional moment the<br />
capacity is given by a reduced shear capacity.<br />
6.2.8 The shear force will reduce the moment resistance. If the shear<br />
6.2.9<br />
6.2.9.1<br />
6.2.9.2<br />
6.2.9.3<br />
force is less than half of the shear force resistance, the effect<br />
of the moment resistance is so small that it can be neglected.<br />
Formulae are given for the comb<strong>in</strong>ed effect of an axial tension<br />
and bend<strong>in</strong>g moments about one or two axis for:<br />
• open cross-sections<br />
• hollow sections and solid cross-sections<br />
• members conta<strong>in</strong><strong>in</strong>g localized welds<br />
6.2.10 The shear force will reduce the comb<strong>in</strong>ed axial tension and<br />
moment resistance. If the shear force is less than half of the shear<br />
force resistance, the effect of the comb<strong>in</strong>ed axial tension and<br />
moment resistance is so small that it can be neglected.<br />
Web bear<strong>in</strong>g 6.2.11 This is for design of webs subjected to localized forces caused<br />
Compression<br />
(buckl<strong>in</strong>g<br />
resistance)<br />
by concentrated loads or reactions applied to a beam.<br />
6.3 Members subject to axial compression may fail <strong>in</strong> one of the<br />
three ways listed below:<br />
• flexural<br />
• torsional or flexural torsional<br />
• local squash<strong>in</strong>g<br />
The design buckl<strong>in</strong>g resistance of a compression member is:<br />
N b,Rd = κ . χ . A eff . f o<br />
γ M1<br />
κ is a factor to allow for effect of the HAZ at welds<br />
χ is the reduction factor for the relevant buckl<strong>in</strong>g mode<br />
A eff is the effective area of the cross section. (For cross section class<br />
1, 2 and 3 this is the gross cross-section, for cross section class 4<br />
it is reduced for local buckl<strong>in</strong>g effects)