NOTE: Confluence Cloud migration has completed - switch there. Do not modify anything here! / PanuO
Euler-Bernoulli beam model is the most simple model to describe the behaviour of beam. Its basic assumptions are:
- The cross section of beam will remain planar in bending
- The cross section of beam will not stretch in bending
- The transversal shearing deformation of beam is insignificant
- Deformations are considered small.
The cross section of Euler-Bernoulli beam remains perpendicular to beam neutral axis in bending. The figure below illustrates Euler-Bernoulli beam.
The dependency between loading of beam and its displacement can be derived from the basic assumptions. The dependency can be presented with following equation:
,where
- EI = flexural rigidity
- w = displacement of beam neutral axis
- q = loading of beam