Simply supported deep beam deflection

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SUMMARY

The discussion focuses on the deflection of a simply supported deep beam under uniformly distributed load, analyzed through Finite Element Analysis (FEA). Three scenarios are considered: supports at the bottom, midpoint, and top of the beam's ends. The results show significantly different deflections and stresses due to varying boundary conditions, which do not conform to the Euler-Bernoulli beam theory. The conversation emphasizes that these differences arise because each support configuration represents a distinct structural problem.

PREREQUISITES
  • Understanding of Finite Element Analysis (FEA)
  • Knowledge of deep beam behavior and boundary conditions
  • Familiarity with the Euler-Bernoulli beam theory
  • Basic principles of structural mechanics
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  • Research the impact of boundary conditions on deep beam analysis
  • Study the differences between plate theory and beam theory
  • Explore advanced FEA techniques for structural analysis
  • Learn about the implications of support locations on stress distribution
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Civil engineers, structural analysts, and students studying advanced mechanics of materials who are interested in deep beam behavior and FEA applications.

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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