Papyrus 75: Difference between revisions
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The '''bending stiffness''' is equal to the product of the [[elastic modulus]] <math>E</math> and the [[area moment of inertia]] <math>I</math> of the beam cross-section about the axis of interest. In other words, the '''bending stiffness ''' is <math>E I</math>. According to elementary [[beam theory]], the relationship between the applied bending moment <math>M</math> and the resulting [[curvature]] <math>\kappa</math> of the beam is | |||
<math>M = E I \kappa = E I \frac{\mathrm{d}^2 w}{\mathrm{d} x^2}</math> | |||
where <math>w</math> is the deflection of the beam and <math>x</math> the coordinate. In literature the above definition is sometimes used with a minus sign depending on convention. | |||
Bending Stiffness in beams is also known as [[Flexural Rigidity]]. | |||
==See also== | |||
* [[Beam theory]] | |||
* [[Bending]] | |||
* [[Applied mechanics]] | |||
==External links== | |||
* [http://www.efunda.com/formulae/solid_mechanics/beams/theory.cfm Efunda's beam calculator] | |||
[[Category:Continuum mechanics]] | |||
[[Category:Structural analysis]] | |||
Revision as of 13:39, 30 September 2013
The bending stiffness is equal to the product of the elastic modulus and the area moment of inertia of the beam cross-section about the axis of interest. In other words, the bending stiffness is . According to elementary beam theory, the relationship between the applied bending moment and the resulting curvature of the beam is
where is the deflection of the beam and the coordinate. In literature the above definition is sometimes used with a minus sign depending on convention.
Bending Stiffness in beams is also known as Flexural Rigidity.