Beam-Column Analysis(looking for reading material)

[Michael24]

Refer to Attachment:
Acme Rod (Segment AD)
Thrust Bearing (Point A & D)
Nut (Point C)
Platform (Segment CB): Force is applied to the platform


Scenario:
The rotational motion (due to the input torque) of the acme rod is used to translate the platform (due to the translation of the nut) with the applied force.

1. Assume the platform is fixed to the nut
2. The following are known: Applied Force, Input Torque, acme rod dimensions and material properties, acme rod end support, Location of applied force, Location of platform.


My Work:
I performed eigenvalue buckling with the following assumptions:
1. Assumed Static Equilibrium
2. Assumed the applied force was axially applied at the top of the acme rod
3. Assumed linear buckling and non eccentric loading
4. acme rod end condition: Fix-Fix
I then determined the critical load

********(Help)**********
If it makes sense, I'd like to perform
1. eccentric, nonlinear, and post buckling analysis for the acme rod,
2. Determine the max displacement of the acme rod such that the nut can not longer transverse.

What I've Found:
in regards to:
(1) above: Reading material on wide flanged cross sections. I can't find material on circular cross sections.
(2) above: Nothing.

********(Finally)**********
Please guide me to reading material on
1. For Circular Cross Section: eccentric, nonlinear, and post buckling analysis for the acme rod,
2. Determine the max displacement of the acme rod such that the nut can not longer transverse.


Thank you