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IN dealing with beams, in which the trace of the plane containing the applied bending moment does not coincide with a principal axis of the beam section, the present design method is to draw the Momcntal Ellipse on the section in question and at the point where the trace of the plane containing the applied bending moment cuts the Momental Ellipse, a tangent is drawn. The linedrawn through the centroid of the section parallel to this tangent is then the neutral axis under the conditions of loading, and the perpendicular distance between these two parallel lines is the radius of gyration of the section for this plane of loading. The fibre stress in the section is maximum at the point in the sectipn furthest away from the neutral axis under the component of the applied bending moment which is perpendicular to the neutral axis.
Aircraft Engineering and Aerospace Technology – Emerald Publishing
Published: Aug 1, 1945
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