In Ref. [1], the sixth-order beam theory was proposed together with the boundary conditions directly in terms of deflection and rotation based on the kinematics of third-order shear deformation model. Due to the lack of generalized stresses, such as moment and shear force, the physical interpretations of the governing equations and boundary conditions are not so clear, unlike those in the Euler–Bernoulli beam theory and in the Timoshenko beam theory. In this discussion, the kinematics is first reformulated. Four generalized stresses and corresponding generalized strains are then introduced and used to re-express the strain energy and to rederive the governing equations and the boundary conditions in the manner of beam. The present work shows that, with the generalized stresses, the sixth-order beam theory possesses a clear physical interpretation and can be easily applied to common practical problems. In addition, the rotation of beam...

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