Solution method for the classical beam theory using differential quadrature

摘要: In this paper, a unified solution method is presented for the classical beam theory. Strength of Materials approach, geometry, material properties and load system are known related with unknowns forces, moments, slopes deformations by applying differential analysis in addition to equilibrium, constitutive, kinematic laws. All these relations expressed formulation special case simple beams, four linear ordinary equations first order represents general mechanical behaviour straight beam. These solved using numerical quadrature (DQM). The application DQM has advantages mathematical consistency conceptual simplicity. procedure gives clear understanding. This systematic way obtaining influence line, bending moment, shear force diagrams deformed shape beams geometric discontinuities been discussed paper. Buckling loads natural frequencies any prismatic or non-prismatic type support conditions can be evaluated ease.