Finding failure of a beam system

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    Beam Failure System
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SUMMARY

The discussion focuses on calculating the load that will cause failure in a beam system, specifically analyzing a small cantilever beam subjected to pure bending. The formula provided for maximum stress is σmax = 6M / (h^3), where M is the moment due to the applied load, Fmax is the maximum load, L is the beam length, and h is the height of the square cross-section. By rearranging the equation, the maximum load can be determined using Fmax = (σmax * h^3) / (6*L), allowing for precise calculations based on material yield stress and beam dimensions.

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  • Familiarity with material yield stress concepts
  • Knowledge of cantilever beam analysis
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Structural engineers, civil engineering students, and professionals involved in beam design and analysis will benefit from this discussion, particularly those focused on load calculations and failure analysis in beam systems.

Jim Newt
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See attached for a picture.

I want to calculate the load that will produce a failure at the point in the picture. If I know all the required dimensions and material properties, how do I go about calculating the load that will produce failure? Thanks!

Jim
 

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What if you treat the small beam member to the right as a cantileaver beam? Any thoughts?
 
All right, how about this:

The small beam on the right is subject to pure bending, with a square cross section and the larger beam on the left is now just a wall that the small beam is attached to. So for a predicted failure model:

σmax = 6M / (h^3)

where we could set σmax = yield stress of the material
M = Fmax * L
L = beam length
h = height of square cross section

Rearranging, I get:

Fmax = (σmax * h^3) / (6*L)

What do you think of this?
 

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