Axial eccentric loading on self-weight deflected cantileaver

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Discussion Overview

The discussion revolves around modeling a cantilever beam that is subjected to axial eccentric loading due to a gauge weight at its free end. Participants explore the dynamics of the beam when it is deflected by its own weight and further influenced by axial forces from a gear mechanism.

Discussion Character

  • Homework-related
  • Exploratory

Main Points Raised

  • One participant describes a scenario involving a cantilever beam with a gauge weight acting as a point load at its free end, while also considering the beam's self-weight as an external distributed load.
  • Another participant seeks clarification on the specific question being posed regarding the modeling of the system.
  • A further inquiry is made about developing a physics-based dynamic model that accurately represents the system's behavior under the described conditions.
  • One participant suggests that a visual representation, such as a picture, would enhance understanding of the problem being discussed.

Areas of Agreement / Disagreement

There is no consensus on the specific modeling approach or the details of the problem, as participants are still clarifying the question and exploring different aspects of the scenario.

Contextual Notes

Participants have not yet established the assumptions or limitations of the model, and there are unresolved details regarding the dynamic behavior of the cantilever beam under the described loading conditions.

Waleed Shaukat
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Homework Statement


Hello,

I am trying to model an arm mounted perpendicular to the straight mechanical column. An arm can be translated in horizontal direction by a gear which engages with the bottom of an arm such that it applies no force in vertical direction to the arm. And finally there is a gauge attached to the free working end of the arm.

For ease, I have taken this gauge weight to be a point load acting at the end of the arm. And the arm has been assumed to be a mass-less cantileaver beam of rectangular section on to which its weight has been assumed to be an external equally distributed load.

I am now required to derive the model of this beam (arm) with small deflection already induced by its weight (has been derived) been subjected to the axial force by the turning of the gear that results in the deflected beam getting dynamic( that is oscillating from the end) and increased in size as the free length of the arm is increased horizontally.

Homework Equations

The Attempt at a Solution

 
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What's the question?
 
How to develop as accurate physics-based dynamic model as possible?
 
A picture sure would help.
 

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