What Is the Core of a Section in Eccentric Loading?

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The core of a section in eccentric loading refers to the area where applied loads result in only tensile or compressive stress, crucial for understanding unsymmetrical bending. This concept is often linked to the neutral axis in asymmetric loading scenarios. The term "kernel" or "kern" describes the specific region where a compressive point load can be applied without inducing tensile stress. While resources like Hibbeler's and Beer's books on mechanics of materials may not cover this topic extensively, further research on the "Core or Kernel of a section" may yield additional insights. Understanding this advanced topic is essential for analyzing complex loading conditions in structural engineering.
morpheus343
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Anyone know of any book on mechanics of materials that covers finding the core of a section in eccentric loading. I am not sure what the term is in english but the direct translation is core of the cross section, it is the region in which if a load is applied, there will be only tensile or only compressive stress. I have looked at Hibbeler's book and Beer's (Mechanics of Materials) and haven't found anything like it. I have encountered this question in unsymmetrical bending due to eccentric loading in an unsymmetrical cross section. Maybe it is on another subject and not mechanics of materials?
 
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morpheus343 said:
I have encountered this question in unsymmetrical bending due to eccentric loading in an unsymmetrical cross section. Maybe it is on another subject and not mechanics of materials?
It is an advanced topic in the mechanics of materials.

The core of a section is a neutral axis, in the case when the section is subjected to asymmetric loading.

The kernel or kern of a section is the region in which a compressive point load may be applied without producing any tensile stress on the cross-section.

Google 'Core or Kernel of a section'
 

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