L12 - Review: Symmetric Bending N.A. - An axis in the cross...

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Review: Symmetric Bending • bending couples acting in a plane of symmetry. • The neutral axis of the cross section coincides with the axis of the couple N.A. - An axis in the cross section along which there are no longitudinal stresses/strain
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• bending couples do not act in a plane of symmetry. • the neutral axis of the section does not coincide with the axis of the couple. • Cannot assume that the member will bend in the plane of the couples. Unsymmetric Bending plane of symmetry Axis of the couple
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Unsymmetric Bending conditions for: neutral axis of a cross section of arbitrary shape coincides with the axis of the couple. couple applied M M M F z y x = = = = . 3 0 . 2 0 . 1 neutral axis passes through centroid couple vector must be directed along a principal centroidal axis
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Unsymmetric Bending N.A. of the cross section coincides with the axis of the couple M if, and only if, the couple vector M is directed along one of the principal centroidal axes of the cross section.
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L12 - Review: Symmetric Bending N.A. - An axis in the cross...

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