Stress Comparison for Simply Supported Beams for Engineers

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    Bending Theory
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The discussion focuses on the application of bending theory to simply supported beams, specifically using the formula Stress = My/I to calculate stress. It questions whether comparing this calculated stress to the material's yield stress from a tensile test is appropriate for assessing potential yield failure. It is noted that when the stress on the outer fibers reaches the yield stress, the beam is generally considered to have failed. However, this assessment assumes there are no additional failure modes like local buckling or warping stresses. Understanding these factors is crucial for accurate structural analysis and design.
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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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