Decomposition of Rod Displacements via Bernoulli–Navier Displacements. Application: A Loading of the Rod with Shearing.

Within the framework of linear elasticity, we show that any displacement of a straight rod is the sum of a Bernoulli–Navier displacement and two terms, one for shearing and the other for warping. Then, we load a straight rod so that bending and shear contribute the same to the rotations of the cross-section. [ABSTRACT FROM AUTHOR]