Stress Distribution for Different Eccentrically Loaded Sections Circular Section:

We have seen that for no tension,

e ≤ ( 2k ² /d)

For a solid circular section,

I = π d 4/64 ;

A = (π/4) d ²

∴          k ²  =  I / A = d² /16

∴          e ≤ (2/d) ×(d²)/16≤ (d/8)

Figure

Therefore, in order that tension is not to be produced, the load line should fall within middle fourth of the section. The core in this case is a circle within the same centre and diameter d/4 as illustrated in Figure.