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Flexural rigidity is defined as the force couple required to bend a fixed non-rigid structure by one unit of curvature, or as the resistance offered by a structure while undergoing bending. Flexural rigidity of a beam
Often, the product (known as the flexural rigidity) is a constant, so that = () . This equation, describing the deflection of a uniform, static beam, is used widely ...
For very small strains in isotropic materials – like glass, metal or polymer – flexural or bending modulus of elasticity is equivalent to the tensile modulus (Young's modulus) or compressive modulus of elasticity. However, in anisotropic materials, for example wood, these values may not be equivalent.
The width and depth of the foreland basin is determined by the flexural rigidity of the underlying lithosphere, and the characteristics of the mountain belt. The foreland basin receives sediment that is eroded off the adjacent mountain belt, filling with thick sedimentary successions that thin away from the mountain belt.
For example, a closet rod sagging under the weight of clothes on clothes hangers is an example of a beam experiencing bending. On the other hand, a shell is a structure of any geometric form where the length and the width are of the same order of magnitude but the thickness of the structure (known as the 'wall') is considerably smaller.
The flexural strength is stress at failure in bending. It is equal to or slightly larger than the failure stress in tension. Flexural strength, also known as modulus of rupture, or bend strength, or transverse rupture strength is a material property, defined as the stress in a material just before it yields in a flexure test. [1]
The flexural rigidity is given by ... is the bending rigidity, is the plate thickness, = / [()], is the shear correction factor, is the Young's ...
When a simple beam of length and flexural rigidity is loaded at each end with clockwise moments and , member end rotations occur in the same direction.These rotation angles can be calculated using the unit force method or Darcy's Law.