Abstract
The bending theory derived and applied in Mechanics of Materials deals with the bending of initially straight beams. This chapter discusses the modifications that are required when the beams are initially curved before bending moments are applied. The problem breaks down into two classes: (1) initially curved beams where the depth of cross-section can be considered small in comparison with the initial radius of curvature; and (2) those beams where the depth of cross-section and initial radius of curvature are approximately of the same order—that is, deep beams with high curvature. In both cases, similar assumptions are made to those for straight beams even though some will not be strictly accurate if the initial radius of curvature is small.
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