Simply supported deep beam deflection

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Discussion Overview

The discussion revolves around the deflection and stress analysis of a simply supported deep beam subjected to a uniformly distributed load. Participants explore different support configurations at the ends of the beam and their impact on the results obtained from finite element analysis (FEA).

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • One participant describes a problem involving a simply supported deep beam with three different support scenarios: at the bottom, at the mid-point, and at the top of the beam's ends.
  • Another participant notes that deep beams do not conform to the assumptions of the Euler-Bernoulli beam theory, suggesting that the problem behaves more like a plate problem, where different boundary conditions yield different solutions.
  • A participant requests clarification on the specific differences in behavior between pinned supports at the bottom and mid-height of the beam's ends.
  • One participant emphasizes that the three scenarios represent distinct problems, questioning why different solutions would be unexpected.
  • A later reply expresses confusion regarding the reasons for the observed differences in deflection and stress results.

Areas of Agreement / Disagreement

Participants acknowledge that the three support scenarios lead to different solutions, but there is no consensus on the specific reasons for these differences. The discussion remains unresolved regarding the underlying mechanics at play.

Contextual Notes

The discussion highlights the limitations of applying traditional beam theory to deep beams and the potential need for a more nuanced understanding of boundary conditions and their effects on structural behavior.

Daniel Tyler
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Hi,

I have a problem with simply supported deep beam which has a uniformly distributed load. The beam is simply supported at both ends but I have to consider the results for the following 3 scenarios
- where the support is at the bottom of each end of the beam
- where the support is at the mid point at each end of the beam
- where support is at top of each end of the beam

I have run this using FEA and I'm finding significantly different deflections and stresses when the beam is supported at the midpoint at its end and the other two scenarios...can anyone explain the exact reasoning for this?

Sincere thanks
 
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The deep beam does not follow the Euler-Bernoulli beam equation assumptions (particularly, that of plane sections remain plane). It is more like a plate problem, and different boundary conditions on a plate give different solutions.
 
Dr D

Thanks for your reply. I'm aware of that but could you be more specific on the difference that would occur where you have a pinned support at the bottom of a beams end and a pinned support at the mid-height of a beams end?

Your help is much appreciated

Many Thanks

Daniel
 
As I tried to say previously, you are looking at three different problems; why should you be surprised when you find three different solutions?
 
yes but I do not understand the reasons for the differences...
 

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