Σ = Stress of the fibre at a distance ‘y’ from neutral/centroidal axis. I = Moment of inertia exerted on the bending axis. The factors or bending equation terms as implemented in the derivation of bending equation are as follows – What are the Factors in Bending Equation Derivation? The plane cross-section continues to be a plane throughout the bending process. ‘E’ or the elastic limit remains constant for both tension and compression. One of the most essential assumptions in the bending equation is that failure should be a result of buckling and not bending. The bending moment equation derivation states that the point of the applied load has to lie on its longitudinal plane of symmetry. It must also possess a symmetrical longitudinal plane.
The construction of the beam has to be with a homogenous material. Besides, it has to possess a constant cross-section without aberrations. The comprehensive assumptions of bending equation are thus as follows – However, the bending moment equation stipulates a set of assumptions that one has to take into account to arrive at the exact data of flexure stresses. Therefore, bending theory refers to a study of axial deformation caused due to such stresses and consequently also known as flexure theory.īending stress equation, or simply bending equation implies a mathematical equation that aims to find the amount of stress on the beam.
This theory, in turn, primarily suggests that a beam is subject to deformation when a force acts upon a point that passes through the longitudinal axis of the beam. Bending equation is a subsection within the purview of bending theory.
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