In article 1128657645.296912.19850
@f14g2000cwb.googlegroups.com,
says...
Hi everyone,

Does anyone know the formula to calculate the deflection for a
"stepped" shaft or beam, where the loaded center portion of the beam
has a larger diameter than the simply supported ends ?

I think this would at least give me a very close approximation to the
information I need. I have not been able to find the formula on the
internet.


You can treat the parts of the shaft independently and sum
the effects of bending (superposition). Note that you
*cannot* simply sum the deflections, but will probably have
to calculate the slope and/or radius of curvature at the
various points on the shaft. I haven't thought this thru
completely, but a good strength of materials text
(Timoshenko) or handbook (Roark's) should cover this.

Ned Simmons