Three slender aluminium bars of identical length and equal area have circular, triangular and rectangular cross sections. Under axial tension they yield at Fc, Ft and Fr respectively. Which relation holds?
For uniform axial tension away from end effects, stress is F/A. Yield begins at the same material yield stress, giving $F_y=\sigma_y A$. Equal area and material imply equal yield forces regardless of section shape, D. Shape would affect bending and buckling, which are not the loading mode here.
More Strength of materials: stress and strain, stress-strain curves, trusses, bars, beams and shafts, determinate and indeterminate questions
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