We are concerned with a rod subjected to an axial force not acting through the centroid of the rod section. Suppose the kern shape of the section is known. Now suppose we have another rod section which is derived from the first by ‘stretching’ it along a principal axis. We show that the kern of the derived section is gotten by stretching the original kern to the same degree as the section was stretched.
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References
1.
SassaniF., ‘The kern of an ellipse’, International Journal of Mechanical Engineering Education, 24, 167–171 (1996).
2.
YoungW.C., Roark's Formulas for Stress and Strain, 6th edn, McGraw-Hill, New York, 1989, p. 506ff.
