Just to clarify for those of us who do not use this stuff daily:
The "Phi" in Mr. Roberts Euler thin column formula is actually the constant "Pi". This solution applies when the boundary conditions are Moment = 0 on both ends (so make sure the ends really are pin supported in the actual structure).
That was a nice explanation Mr. Roberts.
It is funny to hear people comment that the SC-20 is old. Old like the A-11 Oxcart apparently.
Best regards
-colin pitts