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
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<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]]

Latest revision as of 09:39, 18 November 2014

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