Beam curvature κ describes the extent of flexure in the beam and can be expressed in terms of beam deflection w(x) along longitudinal beam axis x, as: \kappa = \frac. Where E is the Young's modulus, a property of the material, and κ the curvature of the beam due to the applied load. The bending moment M applied to a cross-section is related with its moment of inertia with the following equation: The moment of inertia (second moment or area) is used in beam theory to describe the rigidity of a beam against flexure (see beam bending theory). The term second moment of area seems more accurate in this regard. This is different from the definition usually given in Engineering disciplines (also in this page) as a property of the area of a shape, commonly a cross-section, about the axis. It is related with the mass distribution of an object (or multiple objects) about an axis. In Physics the term moment of inertia has a different meaning. The dimensions of moment of inertia (second moment of area) are ^4.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |