Rankine’s constant for a Mild Steel column is

Explanation:

Rankine formula is valid for both short and long column. Hence failure by, both crushing and buckling should be considered.

If P = Failure load

1. P_C = Crushing load = σ_C A
2. P_E = Buckling load = \( = \frac{{{\pi ^2}E}}{{{l^2}}}\)

\(P = \frac{{{\sigma _C}A}}{{1 + \propto {\lambda ^2}}}\)

where ∝ = Rankine constant = \( = \frac{{{\sigma _c}}}{{{\pi ^2}E}}\), λ = Slenderness ratio, σC = Crushing stress, A = cross-sectional area

Rankine’s constant for the type of materials are: