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 platformScenario:
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

 

[TonyG]

for your post and for sharing your work! Your analysis and assumptions seem reasonable for determining the critical load in this scenario. To further your analysis, I would suggest looking into finite element analysis (FEA) software, as it can handle nonlinear and post-buckling behavior more accurately than analytical methods. There are many FEA software options available, such as ANSYS, Abaqus, and SolidWorks Simulation, and each has its own strengths and weaknesses. I recommend researching and comparing these options to find the best fit for your specific needs and budget.

In terms of reading material, I would suggest looking into textbooks or online resources on FEA and structural mechanics. Some recommended titles include "Finite Element Analysis: Theory and Application with ANSYS" by Saeed Moaveni, "Nonlinear Finite Elements for Continua and Structures" by Ted Belytschko, and "Structural Analysis" by Russell C. Hibbeler. These resources should provide you with the necessary information on performing eccentric, nonlinear, and post-buckling analysis for circular cross sections.

As for determining the maximum displacement of the acme rod, you can use FEA to simulate the nut's translation and observe the acme rod's behavior under different displacement values. Alternatively, you can also use analytical methods such as the deflection formula for a fixed-fixed beam to estimate the maximum displacement.

I hope this helps guide you in your analysis and leads you to the appropriate resources. Best of luck with your work!