Stress Comparison for Simply Supported Beams for Engineers

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SUMMARY

The discussion focuses on the application of the bending theory for simply supported beams, specifically using the formula Stress = My/I to calculate stress. It is confirmed that comparing the calculated stress to the yield stress obtained from a tensile test is appropriate for determining potential yielding of the beam. When the stress on the outer fibers equals the tensile yield stress, the beam is considered to have failed, assuming no premature failure occurs due to local buckling or warping stresses.

PREREQUISITES
  • Understanding of bending theory for beams
  • Familiarity with the formula Stress = My/I
  • Knowledge of yield stress from tensile tests
  • Concept of local buckling and warping stresses
NEXT STEPS
  • Research the implications of local buckling in beam design
  • Study the effects of different materials on yield stress
  • Learn about advanced beam analysis techniques
  • Explore software tools for structural analysis of beams
USEFUL FOR

Structural engineers, civil engineers, and students studying beam mechanics who are involved in the design and analysis of simply supported beams.

Marts12
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I have a quick question in relation to the Engineers theory of bending when applied to simply supported beams.

I am using the following portion of the theory to determine the stress in a simply supported beam when subjected to bending:

Stress = My/I

Is it appropriate that I compare the outcome from this calculation for stress to the yield stress of the given material as obtained from a simple tensile test in order to determine if the beam will yield under the given conditions?

Any advice would be greatly appreciated
 
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When the calculated stress on the tensile outer fibers of the beam ( y equals distance from NA to outer fibers) equals the tensile yield stress of the material, the beam is usually considered to have failed. This assumes no premature failing on the compression side due to local buckling or warping stresses, if they exist.
 
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