Bending Moment & Neutral Axis: Why Not Centroid?

AI Thread Summary
The discussion centers on the relationship between the neutral axis and the centroid in structural beams under bending moments. It highlights that the neutral axis does not align with the centroid when maximum bending occurs, primarily due to the bending of the beams. A participant clarifies that strain, which refers to the elongation of fibers in the beam, is distinct from the centroid, which is merely a geometric property. Misunderstandings regarding these concepts are addressed, emphasizing the importance of accurately defining strain and its implications for beam behavior. The conversation underscores the complexity of beam mechanics and the necessity for clear communication in discussing structural engineering principles.
knight92
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Hey guys, as the title says I can understand why the neutral axis does not pass through the centroid after reaching a point where the bending moment is max before the beam collapses. Say you have a straight structure supported by two double I-Beams and a weight in the middle. Why does the neutral axis not pass through the centroid, is it because the beams are simply bending ??

Cheers
 
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can't understand *
 


Your reference to "double I-beams" is not entirely clear. A picture would really help get your question across.
 


The strain is the distance of neutral axis from the line through centroid. If the neutral axis were at centroid, it would mean no strain and presumably, no bending.
 


"The strain is the distance of neutral axis from the line through centroid."

This statement is simply not true at all, and represents total confusion. It must be completely discounted. Strain describes the elongation of a fiber, while the centroid is a geometric property of an area.
 
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