Finding Maximum Strain with Cantilever Beam

  • Context: Undergrad 
  • Thread starter Thread starter Jazmin Urioste
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    Inertia Maximum Strain
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Discussion Overview

The discussion revolves around determining the moment of inertia for a cantilever beam and calculating the maximum strain experienced by the beam under a non-uniform load. The focus includes theoretical formulations and the application of beam mechanics.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant seeks to establish the moment of inertia and maximum strain for a cantilever beam, requesting general formulas.
  • Another participant inquires about the initial efforts made to find this information, suggesting that a quick search may yield the necessary details.
  • A participant provides the formula for moment of inertia as I = 1/12(b)(h^3) but expresses difficulty in finding a suitable diagram for strain, noting the presence of a single force acting at a distance on the beam.
  • A link to a resource containing beam formulas is shared, with a request for clarification on the specific difficulties faced by the participant seeking assistance.

Areas of Agreement / Disagreement

The discussion does not present a consensus, as participants have different focuses: one on the theoretical aspects of strain and inertia, while another emphasizes the need for clarity on the participant's difficulties.

Contextual Notes

Participants have not fully explored the implications of non-uniform loading on the strain calculations, and there may be assumptions regarding the beam's dimensions and loading conditions that are not explicitly stated.

Jazmin Urioste
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Hello,

I am trying to establish what the moment of inertia is for this cantilever beam as well as the maximum strain.

General formals preferred.

Thank you
 

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What have you done so far to try to find this information ?

A quick search should give you all the information you need .
 
I have found that the inertia is I = 1/12(b)(h^3). However I am having difficulty finding a proper diagram for the strain. There is not going to be a uniform force acting on the beam, but rather a single force at any distance (deltaL) on the beam.
 
http://ruina.mae.cornell.edu/Courses/ME4735-2012/Rand4770Vibrations/BeamFormulas.pdf

If not then please try to explain what your difficulty is in more detail .
 
Last edited:

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