A slender beam with slight geometrical curvature is divided in bays with different cross‐sections subjected to uniformly distributed and concentrated transverse loads. Combined with the conditions which hold at the first and last point of the beam, the bending moments at tbe ends of the bays will be determined by three moment equations, or, when uniformly distributed transverse loads are operative, graphically by use of polar co‐ordinates. Knowing these moments a polar diagram can be completed for each bay. Further, a convenient method is shown for the solution of deflexions of the beam. An additional remark deals also with the beam under tension. Finally numerical examples give an illustration of the procedure.
Ratzersdorfer, J. (1952), "Solutions of Problems on the Slightly Curved Beam: An Extension of the Theory and the Drawing of Polar Diagrams", Aircraft Engineering and Aerospace Technology, Vol. 24 No. 10, pp. 288-319. https://doi.org/10.1108/eb032215
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