Simple Bending Equation: Difference between revisions
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* '''M''' = the [http://en.wikipedia.org/wiki/Bending_moment '''Maximum Bending Moment'''] | * '''M''' = the [http://en.wikipedia.org/wiki/Bending_moment '''Maximum Bending Moment'''] | ||
* '''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 14:23, 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)