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Simple Bending Equation: Difference between revisions

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* '''σ''' = the [http://en.wikipedia.org/wiki/Ultimate_tensile_strength '''Tensile Strength'''] of the material ''(obtainable from tables or by experiment)''
* '''σ''' = the [http://en.wikipedia.org/wiki/Ultimate_tensile_strength '''Tensile Strength'''] of the material ''(obtainable from tables or by experiment)''
* Capital '''I''' = the '''[[Moment of Inertia]]''' about the Neutral Axis ''(for a rectangular beam this is its breadth times the depth cubed divided by 12)''.
* Capital '''I''' = the '''[[Moment of Inertia]]''' about the Neutral Axis ''(for a rectangular beam this is its breadth times the depth cubed divided by 12)''.
* '''y''' = the distance of the [http://en.wikipedia.org/wiki/Neutral_axis '''Neutral Axis'''] from the maximum stress (for a uniform rectangular beam this is half the depth)
* '''y''' = the distance of the [http://en.wikipedia.org/wiki/Neutral_axis '''Neutral Axis'''] from the maximum stress ''(for a uniform rectangular beam this is half the depth)''

Revision as of 13:24, 10 November 2014

The Simple Bending Equation applies to simply supported beams (and arches if the radius of curvature is greater than 10 times the depth)

Where:

  • M = the Maximum Bending Moment
  • σ = the Tensile Strength of the material (obtainable from tables or by experiment)
  • Capital I = the Moment of Inertia about the Neutral Axis (for a rectangular beam this is its breadth times the depth cubed divided by 12).
  • y = the distance of the Neutral Axis from the maximum stress (for a uniform rectangular beam this is half the depth)