CantileverBeam on the elastic foundation

[numerical1]

Hello,
can anyone tell me please where I find analytical formulas for cantilever beam on the elastic foundation (e.g compacted soil) under uniformally distributed load and under end moment or deflection.
Thanks for your support.
Sam

 

[ukbridge]

Hambly's "Bridge Deck Analysis" is a good place to start, although obviously the formulae are by definition somewhat simple. The relevant chapter contains formulae for translational and rotational spring stiffnesses as a function of E and cu, which can be experimented with in a simple 2D FE model.

I'm not a geotechnical engineer, but found this a very useful text in helping my understanding of how spring stiffnesses are calculated etc, and helped develop an appreciation of the relative stiffnesses of the structure and ground.