If the point of application of an axial force on a column falls inside a certain area within the cross-section, only stresses of one sign arise on the cross-section. This area is called the kern of the cross-section. For regular cross-sectional shapes, the dimensions of the kern can be determined analytically. In the case of irregular shapes graphical or computer techniques can be used. In this article the kern of an ellipse is analytically determined.
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References
1.
FlüggeW., Handbook of Engineering Mechancis, McGraw-Hill, New York, 1962.
2.
WhiteF. W., Fluid Mechanics, McGraw-Hill, New York, 1986.